Table of contents 目次

82×10106+179

c88

name 名前Ignacio Santos
date 日付May 13, 2010 15:11:35 UTC 2010 年 5 月 14 日 (金) 0 時 11 分 35 秒 (日本時間)
composite number 合成数
8232257430710662924239731952987915181762043100030155472279497860444774314935742322096363<88>
prime factors 素因数
424526997157871740709451714349<30>
19391599323067968240349073217833048236297221580179043252087<59>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4290640363
Step 1 took 13322ms
Step 2 took 11825ms
********** Factor found in step 2: 424526997157871740709451714349
Found probable prime factor of 30 digits: 424526997157871740709451714349
Probable prime cofactor 19391599323067968240349073217833048236297221580179043252087 has 59 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10108+179

c94

name 名前Dmitry Domanov
date 日付May 13, 2010 18:01:11 UTC 2010 年 5 月 14 日 (金) 3 時 1 分 11 秒 (日本時間)
composite number 合成数
2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641<94>
prime factors 素因数
16101721324308526861743742054213836974933<41>
133698722572755426933995864448080569564511164763174677<54>
factorization results 素因数分解の結果
N=2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641
  ( 94 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=16101721324308526861743742054213836974933 (pp41)
 r2=133698722572755426933995864448080569564511164763174677 (pp54)
Version: Msieve-1.40
Total time: 0.66 hours.
Scaled time: 1.30 units (timescale=1.976).
Factorization parameters were as follows:
n: 2152779572282545846594364589676160012127004041056263479128457729310325591498628174287149371641
m: 1000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 390001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 45068 x 45297
Total sieving time: 0.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,109.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.66 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
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10113+179

c106

name 名前Dmitry Domanov
date 日付May 13, 2010 19:13:27 UTC 2010 年 5 月 14 日 (金) 4 時 13 分 27 秒 (日本時間)
composite number 合成数
9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783<106>
prime factors 素因数
58904041833356176446868396204854137<35>
160213334660365726347569735436214020853105553782916747404423833617626159<72>
factorization results 素因数分解の結果
Number: new02
N=9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=58904041833356176446868396204854137 (pp35)
 r2=160213334660365726347569735436214020853105553782916747404423833617626159 (pp72)
Version: Msieve-1.40
Total time: 0.70 hours.
Scaled time: 1.37 units (timescale=1.963).
Factorization parameters were as follows:
n: 9437212967095675808136944327276266499616028000919815225032432046925082163512238527067697417941358790569783
m: 10000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64676 x 64924
Total sieving time: 0.65 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 0.70 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10115+179

c96

name 名前Dmitry Domanov
date 日付May 13, 2010 20:01:36 UTC 2010 年 5 月 14 日 (金) 5 時 1 分 36 秒 (日本時間)
composite number 合成数
156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981<96>
prime factors 素因数
395513798260482605230147343726960780544626357<45>
396754711533490479955627887553016356675121709557633<51>
factorization results 素因数分解の結果
Number: new03
N=156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981
  ( 96 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=395513798260482605230147343726960780544626357 (pp45)
 r2=396754711533490479955627887553016356675121709557633 (pp51)
Version: Msieve-1.40
Total time: 0.69 hours.
Scaled time: 1.35 units (timescale=1.957).
Factorization parameters were as follows:
n: 156921962936352924821672445212942066403883640466955073559787417177181567591453509841725742332981
m: 100000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70994 x 71238
Total sieving time: 0.66 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 0.69 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10116+179

c115

name 名前Dmitry Domanov
date 日付May 14, 2010 08:13:39 UTC 2010 年 5 月 14 日 (金) 17 時 13 分 39 秒 (日本時間)
composite number 合成数
1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681<115>
prime factors 素因数
53649951339299568414580805184063827608831933<44>
35903837514395950702633260064154845446078952215044771853869359071279557<71>
factorization results 素因数分解の結果
Number: new06
N=1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681
  ( 115 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=53649951339299568414580805184063827608831933 (pp44)
 r2=35903837514395950702633260064154845446078952215044771853869359071279557 (pp71)
Version: Msieve-1.40
Total time: 0.94 hours.
Scaled time: 1.85 units (timescale=1.969).
Factorization parameters were as follows:
n: 1926239135541461122856471693680996006577401926239135541461122856471693680996006577401926239135541461122856471693681
m: 100000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61190 x 61417
Total sieving time: 0.92 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.94 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10117+179

c113

name 名前Dmitry Domanov
date 日付May 13, 2010 20:57:09 UTC 2010 年 5 月 14 日 (金) 5 時 57 分 9 秒 (日本時間)
composite number 合成数
12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117<113>
prime factors 素因数
4411568943106145027377702197071130118488686287<46>
2859745617143074790617946050496807030308480985808995707692969009091<67>
factorization results 素因数分解の結果
Number: new04
N=12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117
  ( 113 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=4411568943106145027377702197071130118488686287 (pp46)
 r2=2859745617143074790617946050496807030308480985808995707692969009091 (pp67)
Version: Msieve-1.40
Total time: 0.90 hours.
Scaled time: 1.68 units (timescale=1.872).
Factorization parameters were as follows:
n: 12615964949772304910641274113993859102134082783192642246158707915948749027070629864358375869905400263796750035117
m: 100000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71549 x 71774
Total sieving time: 0.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.90 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10118+179

c109

name 名前Dmitry Domanov
date 日付May 13, 2010 22:06:11 UTC 2010 年 5 月 14 日 (金) 7 時 6 分 11 秒 (日本時間)
composite number 合成数
1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319<109>
prime factors 素因数
19358978785793377327080326587774258919<38>
79990093487923123810561090268630250574753998267826600908906544461999601<71>
factorization results 素因数分解の結果
Number: new05
N=1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319
  ( 109 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=19358978785793377327080326587774258919 (pp38)
 r2=79990093487923123810561090268630250574753998267826600908906544461999601 (pp71)
Version: Msieve-1.40
Total time: 1.14 hours.
Scaled time: 2.13 units (timescale=1.866).
Factorization parameters were as follows:
n: 1548526522906332734123934391472824817622177393546066627610950264982280141324131538634217104730865034648691319
m: 100000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74705 x 74930
Total sieving time: 1.10 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.14 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10120+179

c94

name 名前Ignacio Santos
date 日付May 13, 2010 21:26:55 UTC 2010 年 5 月 14 日 (金) 6 時 26 分 55 秒 (日本時間)
composite number 合成数
4084096945994604362744365922287820280557353996440751969290426829970583826294777389978148390339<94>
prime factors 素因数
3167222596829843362126224842963174113<37>
1289488446464888423303930110468481224313172194004571636003<58>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1085336403
Step 1 took 13072ms
Step 2 took 11560ms
********** Factor found in step 2: 3167222596829843362126224842963174113
Found probable prime factor of 37 digits: 3167222596829843362126224842963174113
Probable prime cofactor 1289488446464888423303930110468481224313172194004571636003 has 58 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10122+179

c104

name 名前Sinkiti Sibata
date 日付May 14, 2010 06:29:15 UTC 2010 年 5 月 14 日 (金) 15 時 29 分 15 秒 (日本時間)
composite number 合成数
77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571<104>
prime factors 素因数
341133264788837302071889527125167386878645069<45>
226564755560104800325507146561352151330748973602951850936559<60>
factorization results 素因数分解の結果
Number: 91113_122
N=77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571
  ( 104 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=341133264788837302071889527125167386878645069 (pp45)
 r2=226564755560104800325507146561352151330748973602951850936559 (pp60)
Version: Msieve-1.40
Total time: 1.81 hours.
Scaled time: 4.63 units (timescale=2.554).
Factorization parameters were as follows:
name: 91113_122
n: 77288774750303429237718718028267287490143393283755912149291336853267713278790592316228549534604597177571
m: 1000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 705001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92542 x 92790
Total sieving time: 1.77 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,123.000,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 1.81 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10126+179

c84

name 名前Dmitry Domanov
date 日付May 13, 2010 15:59:25 UTC 2010 年 5 月 14 日 (金) 0 時 59 分 25 秒 (日本時間)
composite number 合成数
200455768682162479107271429289641747544355692706538159784451450848603569631999850211<84>
prime factors 素因数
332364045178146222460874098841<30>
603121100462953907584530829817841230409992416866532571<54>
factorization results 素因数分解の結果
Thu May 13 16:10:13 2010  
Thu May 13 16:10:13 2010  
Thu May 13 16:10:13 2010  Msieve v. 1.42
Thu May 13 16:10:13 2010  random seeds: 2a7ea228 6ab1ddfe
Thu May 13 16:10:13 2010  factoring 128728341404049487627120818266606063157828410785757168645018581916840735311581874309823 (87 digits)
Thu May 13 16:10:14 2010  searching for 15-digit factors
Thu May 13 16:10:15 2010  commencing quadratic sieve (87-digit input)
Thu May 13 16:10:15 2010  using multiplier of 17
Thu May 13 16:10:15 2010  using 32kb Intel Core sieve core
Thu May 13 16:10:15 2010  sieve interval: 19 blocks of size 32768
Thu May 13 16:10:15 2010  processing polynomials in batches of 11
Thu May 13 16:10:15 2010  using a sieve bound of 1480243 (56232 primes)
Thu May 13 16:10:15 2010  using large prime bound of 118419440 (26 bits)
Thu May 13 16:10:15 2010  using double large prime bound of 340534638927600 (41-49 bits)
Thu May 13 16:10:15 2010  using trial factoring cutoff of 49 bits
Thu May 13 16:10:15 2010  polynomial 'A' values have 11 factors
Thu May 13 16:59:16 2010  56426 relations (15794 full + 40632 combined from 592438 partial), need 56328
Thu May 13 16:59:17 2010  begin with 608232 relations
Thu May 13 16:59:17 2010  reduce to 135113 relations in 9 passes
Thu May 13 16:59:17 2010  attempting to read 135113 relations
Thu May 13 16:59:19 2010  recovered 135113 relations
Thu May 13 16:59:19 2010  recovered 113761 polynomials
Thu May 13 16:59:19 2010  attempting to build 56426 cycles
Thu May 13 16:59:19 2010  found 56426 cycles in 5 passes
Thu May 13 16:59:19 2010  distribution of cycle lengths:
Thu May 13 16:59:19 2010     length 1 : 15794
Thu May 13 16:59:19 2010     length 2 : 11030
Thu May 13 16:59:19 2010     length 3 : 9956
Thu May 13 16:59:19 2010     length 4 : 7435
Thu May 13 16:59:19 2010     length 5 : 5016
Thu May 13 16:59:19 2010     length 6 : 3179
Thu May 13 16:59:19 2010     length 7 : 1835
Thu May 13 16:59:19 2010     length 9+: 2181
Thu May 13 16:59:19 2010  largest cycle: 18 relations
Thu May 13 16:59:20 2010  matrix is 56232 x 56426 (13.3 MB) with weight 3261000 (57.79/col)
Thu May 13 16:59:20 2010  sparse part has weight 3261000 (57.79/col)
Thu May 13 16:59:20 2010  filtering completed in 3 passes
Thu May 13 16:59:20 2010  matrix is 51777 x 51837 (12.3 MB) with weight 3025820 (58.37/col)
Thu May 13 16:59:20 2010  sparse part has weight 3025820 (58.37/col)
Thu May 13 16:59:20 2010  saving the first 48 matrix rows for later
Thu May 13 16:59:20 2010  matrix is 51729 x 51837 (8.1 MB) with weight 2395976 (46.22/col)
Thu May 13 16:59:20 2010  sparse part has weight 1821461 (35.14/col)
Thu May 13 16:59:20 2010  matrix includes 64 packed rows
Thu May 13 16:59:20 2010  using block size 20734 for processor cache size 4096 kB
Thu May 13 16:59:21 2010  commencing Lanczos iteration
Thu May 13 16:59:21 2010  memory use: 8.2 MB
Thu May 13 16:59:39 2010  lanczos halted after 819 iterations (dim = 51727)
Thu May 13 16:59:40 2010  recovered 18 nontrivial dependencies
Thu May 13 16:59:40 2010  prp41 factor: 33118188751671819378887504895087468470987
Thu May 13 16:59:40 2010  prp46 factor: 3886937850656196577292061071532898451695457629
Thu May 13 16:59:40 2010  elapsed time 00:49:27
Thu May 13 18:17:23 2010  
Thu May 13 18:17:23 2010  
Thu May 13 18:17:23 2010  Msieve v. 1.42
Thu May 13 18:17:23 2010  random seeds: 157caf40 fb66b0e4
Thu May 13 18:17:23 2010  factoring 200455768682162479107271429289641747544355692706538159784451450848603569631999850211 (84 digits)
Thu May 13 18:17:24 2010  searching for 15-digit factors
Thu May 13 18:17:25 2010  searching for 20-digit factors
Thu May 13 18:17:33 2010  commencing quadratic sieve (84-digit input)
Thu May 13 18:17:33 2010  using multiplier of 1
Thu May 13 18:17:33 2010  using 32kb Intel Core sieve core
Thu May 13 18:17:33 2010  sieve interval: 12 blocks of size 32768
Thu May 13 18:17:33 2010  processing polynomials in batches of 17
Thu May 13 18:17:33 2010  using a sieve bound of 1392233 (53235 primes)
Thu May 13 18:17:33 2010  using large prime bound of 121124271 (26 bits)
Thu May 13 18:17:33 2010  using trial factoring cutoff of 27 bits
Thu May 13 18:17:33 2010  polynomial 'A' values have 11 factors
Thu May 13 18:55:54 2010  53454 relations (26508 full + 26946 combined from 286577 partial), need 53331
Thu May 13 18:55:54 2010  begin with 313085 relations
Thu May 13 18:55:54 2010  reduce to 76959 relations in 2 passes
Thu May 13 18:55:54 2010  attempting to read 76959 relations
Thu May 13 18:55:55 2010  recovered 76959 relations
Thu May 13 18:55:55 2010  recovered 71638 polynomials
Thu May 13 18:55:55 2010  attempting to build 53454 cycles
Thu May 13 18:55:55 2010  found 53454 cycles in 1 passes
Thu May 13 18:55:55 2010  distribution of cycle lengths:
Thu May 13 18:55:55 2010     length 1 : 26508
Thu May 13 18:55:55 2010     length 2 : 26946
Thu May 13 18:55:55 2010  largest cycle: 2 relations
Thu May 13 18:55:55 2010  matrix is 53235 x 53454 (7.4 MB) with weight 1734372 (32.45/col)
Thu May 13 18:55:55 2010  sparse part has weight 1734372 (32.45/col)
Thu May 13 18:55:56 2010  filtering completed in 3 passes
Thu May 13 18:55:56 2010  matrix is 39985 x 40049 (6.0 MB) with weight 1423914 (35.55/col)
Thu May 13 18:55:56 2010  sparse part has weight 1423914 (35.55/col)
Thu May 13 18:55:56 2010  saving the first 48 matrix rows for later
Thu May 13 18:55:56 2010  matrix is 39937 x 40049 (3.8 MB) with weight 1060767 (26.49/col)
Thu May 13 18:55:56 2010  sparse part has weight 754268 (18.83/col)
Thu May 13 18:55:56 2010  matrix includes 64 packed rows
Thu May 13 18:55:56 2010  using block size 16019 for processor cache size 4096 kB
Thu May 13 18:55:56 2010  commencing Lanczos iteration
Thu May 13 18:55:56 2010  memory use: 4.7 MB
Thu May 13 18:56:05 2010  lanczos halted after 633 iterations (dim = 39937)
Thu May 13 18:56:05 2010  recovered 18 nontrivial dependencies
Thu May 13 18:56:06 2010  prp30 factor: 332364045178146222460874098841
Thu May 13 18:56:06 2010  prp54 factor: 603121100462953907584530829817841230409992416866532571
Thu May 13 18:56:06 2010  elapsed time 00:38:43
software ソフトウェア
msieve v1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10127+179

c111

name 名前Sinkiti Sibata
date 日付May 14, 2010 06:32:26 UTC 2010 年 5 月 14 日 (金) 15 時 32 分 26 秒 (日本時間)
composite number 合成数
812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243<111>
prime factors 素因数
17335781223099759479980063660697<32>
46872814780814239820495120925902378381763602986378483952065038288081544226193019<80>
factorization results 素因数分解の結果
Number: 91113_127
N=812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243
  ( 111 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=17335781223099759479980063660697 (pp32)
 r2=46872814780814239820495120925902378381763602986378483952065038288081544226193019 (pp80)
Version: Msieve-1.40
Total time: 2.37 hours.
Scaled time: 5.21 units (timescale=2.195).
Factorization parameters were as follows:
name: 91113_127
n: 812576862351072366958894078111903725828048329529980020047389956214874226691832999612649375028444535393246074243
m: 10000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 845001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132788 x 133028
Total sieving time: 2.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 2.37 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10128+179

c115

name 名前Sinkiti Sibata
date 日付May 14, 2010 06:15:16 UTC 2010 年 5 月 14 日 (金) 15 時 15 分 16 秒 (日本時間)
composite number 合成数
8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917<115>
prime factors 素因数
13211190807228261524360237758892253183640691<44>
650943593696498105239599153683548357429082643805327773445279658405825887<72>
factorization results 素因数分解の結果
Number: 91113_128
N=8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917
  ( 115 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=13211190807228261524360237758892253183640691 (pp44)
 r2=650943593696498105239599153683548357429082643805327773445279658405825887 (pp72)
Version: Msieve v. 1.42
Total time: 0.14 hours.
Scaled time: 0.12 units (timescale=0.851).
Factorization parameters were as follows:
name: 91113_128
n: 8599740021067304293004004783832673438504937864362824196186162211185624330946948842629525267705421869043235314367917
m: 10000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 136799 x 137025
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000
total time: 0.14 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.57 BogoMIPS (lpj=2913789)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11654.11 BogoMIPS).

Total time: 1 hour 28min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10131+179

c89

name 名前Dmitry Domanov
date 日付May 13, 2010 19:39:43 UTC 2010 年 5 月 14 日 (金) 4 時 39 分 43 秒 (日本時間)
composite number 合成数
19785613531544580619311927012147433451999727833571561054445795007717409175636914003979331<89>
prime factors 素因数
13851474345297948427966547859098690527<38>
1428412098114382168333023651401971757271775700788253<52>
factorization results 素因数分解の結果
Thu May 13 21:21:11 2010  
Thu May 13 21:21:11 2010  
Thu May 13 21:21:11 2010  Msieve v. 1.42
Thu May 13 21:21:11 2010  random seeds: fe18d8b0 ba4db40c
Thu May 13 21:21:11 2010  factoring 19785613531544580619311927012147433451999727833571561054445795007717409175636914003979331 (89 digits)
Thu May 13 21:21:12 2010  searching for 15-digit factors
Thu May 13 21:21:13 2010  commencing quadratic sieve (89-digit input)
Thu May 13 21:21:13 2010  using multiplier of 11
Thu May 13 21:21:13 2010  using 32kb Intel Core sieve core
Thu May 13 21:21:13 2010  sieve interval: 30 blocks of size 32768
Thu May 13 21:21:13 2010  processing polynomials in batches of 7
Thu May 13 21:21:13 2010  using a sieve bound of 1538057 (58667 primes)
Thu May 13 21:21:13 2010  using large prime bound of 123044560 (26 bits)
Thu May 13 21:21:13 2010  using double large prime bound of 364848284064320 (42-49 bits)
Thu May 13 21:21:13 2010  using trial factoring cutoff of 49 bits
Thu May 13 21:21:13 2010  polynomial 'A' values have 11 factors
Thu May 13 22:34:07 2010  59015 relations (16226 full + 42789 combined from 617646 partial), need 58763
Thu May 13 22:34:08 2010  begin with 633872 relations
Thu May 13 22:34:08 2010  reduce to 141933 relations in 9 passes
Thu May 13 22:34:08 2010  attempting to read 141933 relations
Thu May 13 22:34:11 2010  recovered 141933 relations
Thu May 13 22:34:11 2010  recovered 119675 polynomials
Thu May 13 22:34:11 2010  attempting to build 59015 cycles
Thu May 13 22:34:11 2010  found 59015 cycles in 5 passes
Thu May 13 22:34:11 2010  distribution of cycle lengths:
Thu May 13 22:34:11 2010     length 1 : 16226
Thu May 13 22:34:11 2010     length 2 : 11623
Thu May 13 22:34:11 2010     length 3 : 10331
Thu May 13 22:34:11 2010     length 4 : 7761
Thu May 13 22:34:11 2010     length 5 : 5335
Thu May 13 22:34:11 2010     length 6 : 3417
Thu May 13 22:34:11 2010     length 7 : 2007
Thu May 13 22:34:11 2010     length 9+: 2315
Thu May 13 22:34:11 2010  largest cycle: 18 relations
Thu May 13 22:34:11 2010  matrix is 58667 x 59015 (14.3 MB) with weight 3508370 (59.45/col)
Thu May 13 22:34:11 2010  sparse part has weight 3508370 (59.45/col)
Thu May 13 22:34:12 2010  filtering completed in 3 passes
Thu May 13 22:34:12 2010  matrix is 54422 x 54485 (13.3 MB) with weight 3263203 (59.89/col)
Thu May 13 22:34:12 2010  sparse part has weight 3263203 (59.89/col)
Thu May 13 22:34:12 2010  saving the first 48 matrix rows for later
Thu May 13 22:34:12 2010  matrix is 54374 x 54485 (9.7 MB) with weight 2689092 (49.35/col)
Thu May 13 22:34:12 2010  sparse part has weight 2204490 (40.46/col)
Thu May 13 22:34:12 2010  matrix includes 64 packed rows
Thu May 13 22:34:12 2010  using block size 21794 for processor cache size 4096 kB
Thu May 13 22:34:13 2010  commencing Lanczos iteration
Thu May 13 22:34:13 2010  memory use: 9.2 MB
Thu May 13 22:34:41 2010  lanczos halted after 862 iterations (dim = 54370)
Thu May 13 22:34:41 2010  recovered 16 nontrivial dependencies
Thu May 13 22:34:41 2010  prp38 factor: 13851474345297948427966547859098690527
Thu May 13 22:34:41 2010  prp52 factor: 1428412098114382168333023651401971757271775700788253
Thu May 13 22:34:41 2010  elapsed time 01:13:30

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10134+179

c92

name 名前Dmitry Domanov
date 日付May 13, 2010 18:22:00 UTC 2010 年 5 月 14 日 (金) 3 時 22 分 0 秒 (日本時間)
composite number 合成数
50109172086337000093480973451585175485339362310503106416758964280541602136344190345796295067<92>
prime factors 素因数
678872655006934731371092465064213537932957<42>
73812329480004068534271093977894591064551251726231<50>
factorization results 素因数分解の結果
Thu May 13 18:59:47 2010  Msieve v. 1.42
Thu May 13 18:59:47 2010  random seeds: 75527110 7dba403e
Thu May 13 18:59:47 2010  factoring 50109172086337000093480973451585175485339362310503106416758964280541602136344190345796295067 (92 digits)
Thu May 13 18:59:48 2010  searching for 15-digit factors
Thu May 13 18:59:48 2010  commencing quadratic sieve (92-digit input)
Thu May 13 18:59:49 2010  using multiplier of 43
Thu May 13 18:59:49 2010  using 32kb Intel Core sieve core
Thu May 13 18:59:49 2010  sieve interval: 36 blocks of size 32768
Thu May 13 18:59:49 2010  processing polynomials in batches of 6
Thu May 13 18:59:49 2010  using a sieve bound of 1821709 (68030 primes)
Thu May 13 18:59:49 2010  using large prime bound of 198566281 (27 bits)
Thu May 13 18:59:49 2010  using double large prime bound of 863435489420069 (42-50 bits)
Thu May 13 18:59:49 2010  using trial factoring cutoff of 50 bits
Thu May 13 18:59:49 2010  polynomial 'A' values have 12 factors
Thu May 13 21:16:23 2010  68361 relations (18163 full + 50198 combined from 849808 partial), need 68126
Thu May 13 21:16:37 2010  begin with 867971 relations
Thu May 13 21:16:38 2010  reduce to 169514 relations in 10 passes
Thu May 13 21:16:38 2010  attempting to read 169514 relations
Thu May 13 21:16:41 2010  recovered 169514 relations
Thu May 13 21:16:41 2010  recovered 148527 polynomials
Thu May 13 21:16:41 2010  attempting to build 68361 cycles
Thu May 13 21:16:41 2010  found 68361 cycles in 5 passes
Thu May 13 21:16:41 2010  distribution of cycle lengths:
Thu May 13 21:16:41 2010     length 1 : 18163
Thu May 13 21:16:41 2010     length 2 : 12814
Thu May 13 21:16:41 2010     length 3 : 11862
Thu May 13 21:16:41 2010     length 4 : 9168
Thu May 13 21:16:41 2010     length 5 : 6513
Thu May 13 21:16:41 2010     length 6 : 4148
Thu May 13 21:16:41 2010     length 7 : 2564
Thu May 13 21:16:41 2010     length 9+: 3129
Thu May 13 21:16:41 2010  largest cycle: 20 relations
Thu May 13 21:16:42 2010  matrix is 68030 x 68361 (16.8 MB) with weight 4123220 (60.32/col)
Thu May 13 21:16:42 2010  sparse part has weight 4123220 (60.32/col)
Thu May 13 21:16:43 2010  filtering completed in 4 passes
Thu May 13 21:16:43 2010  matrix is 63837 x 63901 (15.7 MB) with weight 3871505 (60.59/col)
Thu May 13 21:16:43 2010  sparse part has weight 3871505 (60.59/col)
Thu May 13 21:16:43 2010  saving the first 48 matrix rows for later
Thu May 13 21:16:44 2010  matrix is 63789 x 63901 (9.2 MB) with weight 2952194 (46.20/col)
Thu May 13 21:16:44 2010  sparse part has weight 2034249 (31.83/col)
Thu May 13 21:16:44 2010  matrix includes 64 packed rows
Thu May 13 21:16:44 2010  using block size 25560 for processor cache size 4096 kB
Thu May 13 21:16:44 2010  commencing Lanczos iteration
Thu May 13 21:16:44 2010  memory use: 9.9 MB
Thu May 13 21:17:15 2010  lanczos halted after 1010 iterations (dim = 63787)
Thu May 13 21:17:15 2010  recovered 17 nontrivial dependencies
Thu May 13 21:17:16 2010  prp42 factor: 678872655006934731371092465064213537932957
Thu May 13 21:17:16 2010  prp50 factor: 73812329480004068534271093977894591064551251726231
Thu May 13 21:17:16 2010  elapsed time 02:17:29
software ソフトウェア
msieve v1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10135+179

c131

name 名前Sinkiti Sibata
date 日付May 14, 2010 10:38:15 UTC 2010 年 5 月 14 日 (金) 19 時 38 分 15 秒 (日本時間)
composite number 合成数
58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749<131>
prime factors 素因数
9571238758963005777842477784098237<34>
366207766088024766364518287317921770873421<42>
16595153970537681319967298699241868478101132459234448037<56>
factorization results 素因数分解の結果
Number: 91113_135
N=58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=9571238758963005777842477784098237 (pp34)
 r2=366207766088024766364518287317921770873421 (pp42)
 r3=16595153970537681319967298699241868478101132459234448037 (pp56)
Version: Msieve-1.40
Total time: 3.91 hours.
Scaled time: 8.98 units (timescale=2.298).
Factorization parameters were as follows:
name: 91113_135
n: 58167042979060573881720864872993680363586579870088874985546908528068790331218748514789680031608822379840721611822948033421931670749
m: 1000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1195001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 194301 x 194549
Total sieving time: 3.73 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.91 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10136+179

c85

name 名前Dmitry Domanov
date 日付May 13, 2010 20:18:53 UTC 2010 年 5 月 14 日 (金) 5 時 18 分 53 秒 (日本時間)
composite number 合成数
4012282221221380661457898941031523093966965112474981658391842950320320300849811390217<85>
prime factors 素因数
8412882645880788054977964332976917627<37>
476921215962274266488684832187575455572509988171<48>
factorization results 素因数分解の結果
Thu May 13 23:15:24 2010  54835 relations (16131 full + 38704 combined from 570058 partial), need 54802
Thu May 13 23:15:25 2010  begin with 586189 relations
Thu May 13 23:15:25 2010  reduce to 128439 relations in 10 passes
Thu May 13 23:15:25 2010  attempting to read 128439 relations
Thu May 13 23:15:27 2010  recovered 128439 relations
Thu May 13 23:15:27 2010  recovered 108034 polynomials
Thu May 13 23:15:27 2010  attempting to build 54835 cycles
Thu May 13 23:15:27 2010  found 54835 cycles in 5 passes
Thu May 13 23:15:27 2010  distribution of cycle lengths:
Thu May 13 23:15:27 2010     length 1 : 16131
Thu May 13 23:15:27 2010     length 2 : 11200
Thu May 13 23:15:27 2010     length 3 : 9616
Thu May 13 23:15:27 2010     length 4 : 6967
Thu May 13 23:15:27 2010     length 5 : 4823
Thu May 13 23:15:27 2010     length 6 : 2756
Thu May 13 23:15:27 2010     length 7 : 1532
Thu May 13 23:15:27 2010     length 9+: 1810
Thu May 13 23:15:27 2010  largest cycle: 16 relations
Thu May 13 23:15:28 2010  matrix is 54706 x 54835 (11.9 MB) with weight 2887459 (52.66/col)
Thu May 13 23:15:28 2010  sparse part has weight 2887459 (52.66/col)
Thu May 13 23:15:28 2010  filtering completed in 3 passes
Thu May 13 23:15:28 2010  matrix is 49396 x 49460 (10.8 MB) with weight 2639711 (53.37/col)
Thu May 13 23:15:28 2010  sparse part has weight 2639711 (53.37/col)
Thu May 13 23:15:29 2010  saving the first 48 matrix rows for later
Thu May 13 23:15:29 2010  matrix is 49348 x 49460 (6.4 MB) with weight 1989312 (40.22/col)
Thu May 13 23:15:29 2010  sparse part has weight 1376202 (27.82/col)
Thu May 13 23:15:29 2010  matrix includes 64 packed rows
Thu May 13 23:15:29 2010  using block size 19784 for processor cache size 4096 kB
Thu May 13 23:15:29 2010  commencing Lanczos iteration
Thu May 13 23:15:29 2010  memory use: 7.0 MB
Thu May 13 23:15:46 2010  lanczos halted after 782 iterations (dim = 49348)
Thu May 13 23:15:47 2010  recovered 18 nontrivial dependencies
Thu May 13 23:15:48 2010  prp37 factor: 8412882645880788054977964332976917627
Thu May 13 23:15:48 2010  prp48 factor: 476921215962274266488684832187575455572509988171
Thu May 13 23:15:48 2010  elapsed time 00:38:11

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10137+179

c114

name 名前Sinkiti Sibata
date 日付May 14, 2010 06:09:17 UTC 2010 年 5 月 14 日 (金) 15 時 9 分 17 秒 (日本時間)
composite number 合成数
482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593<114>
prime factors 素因数
199862846639939827167818799337409409461<39>
2412706450250224352192974274100177094126389165676456201115465233936130574613<76>
factorization results 素因数分解の結果
Number: 91113_137
N=482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593
  ( 114 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=199862846639939827167818799337409409461 (pp39)
 r2=2412706450250224352192974274100177094126389165676456201115465233936130574613 (pp76)
Version: Msieve-1.40
Total time: 3.94 hours.
Scaled time: 8.99 units (timescale=2.282).
Factorization parameters were as follows:
name: 91113_137
n: 482210379253554199947604357914620269566479665913847506127857460058577750033832870860269861746399583558558928613593
m: 1000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [725000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 211068 x 211293
Total sieving time: 3.81 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000
total time: 3.94 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 860 2.80GHz,Windows7 64bit,and Cygwin )

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10139+179

c108

name 名前Sinkiti Sibata
date 日付May 14, 2010 06:35:45 UTC 2010 年 5 月 14 日 (金) 15 時 35 分 45 秒 (日本時間)
composite number 合成数
427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481<108>
prime factors 素因数
3006303738977139474742075486477423334361743423<46>
142209827705048957708285994132706544196741298880983168097293247<63>
factorization results 素因数分解の結果
Number: 91113_139
N=427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=3006303738977139474742075486477423334361743423 (pp46)
 r2=142209827705048957708285994132706544196741298880983168097293247 (pp63)
Version: Msieve-1.40
Total time: 4.81 hours.
Scaled time: 14.91 units (timescale=3.097).
Factorization parameters were as follows:
name: 91113_139
n: 427525936748983479378296690489619333691248820241237361037111804353626595220430095765608141191324754204564481
m: 2000000000000000000000000000
deg: 5
c5: 25625
c0: 17
skew: 0.23
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237870 x 238118
Total sieving time: 4.61 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 4.81 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10142+179

c130

name 名前Dmitry Domanov
date 日付May 14, 2010 15:39:13 UTC 2010 年 5 月 15 日 (土) 0 時 39 分 13 秒 (日本時間)
composite number 合成数
5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299<130>
prime factors 素因数
1643415614721980989889047408102066703821780909383940493659<58>
3281140016567483576376419301018230958306396270565189042168036578985929961<73>
factorization results 素因数分解の結果
N=5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299
  ( 130 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=1643415614721980989889047408102066703821780909383940493659 (pp58)
 r2=3281140016567483576376419301018230958306396270565189042168036578985929961 (pp73)
Version: Msieve-1.40
Total time: 5.99 hours.
Scaled time: 9.73 units (timescale=1.624).
Factorization parameters were as follows:
n: 5392276737316141911231526225767124575695557985596354051399779412596019401148516540660264620424847684923149736327542043841538617299
m: 10000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 1875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270877 x 271102
Total sieving time: 5.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 5.99 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10144+179

c133

name 名前Dmitry Domanov
date 日付May 15, 2010 18:40:06 UTC 2010 年 5 月 16 日 (日) 3 時 40 分 6 秒 (日本時間)
composite number 合成数
7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167<133>
prime factors 素因数
60477611546267139593984548311917649399293<41>
124328150492373763266537910033953469857753257997005321809074513205516640546993081812904263219<93>
factorization results 素因数分解の結果
Number: new02
N=7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167
  ( 133 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=60477611546267139593984548311917649399293 (pp41)
 r2=124328150492373763266537910033953469857753257997005321809074513205516640546993081812904263219 (pp93)
Version: Msieve-1.40
Total time: 6.65 hours.
Scaled time: 12.90 units (timescale=1.939).
Factorization parameters were as follows:
n: 7519069589743622061919226330730144968120882587758115000891183843563771932409056759341332493707587369477531848687004273667634104504167
m: 20000000000000000000000000000
deg: 5
c5: 25625
c0: 17
skew: 0.23
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2145001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 252404 x 252629
Total sieving time: 6.52 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 6.65 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10145+179

c134

name 名前Dmitry Domanov
date 日付May 15, 2010 19:59:57 UTC 2010 年 5 月 16 日 (日) 4 時 59 分 57 秒 (日本時間)
composite number 合成数
19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317<134>
prime factors 素因数
667989828853344204506672357080471<33>
28682045596392660917704421161040408101158766847080665628033677076798197769739953757739806424254117627<101>
factorization results 素因数分解の結果
Number: new03
N=19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317
  ( 134 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=667989828853344204506672357080471 (pp33)
 r2=28682045596392660917704421161040408101158766847080665628033677076798197769739953757739806424254117627 (pp101)
Version: Msieve-1.40
Total time: 6.77 hours.
Scaled time: 13.25 units (timescale=1.957).
Factorization parameters were as follows:
n: 19159314729098148369957498596677144387354030045485608127845457772814695719048116943445593993879400434404492988674339615793489938562317
m: 100000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor 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, 2185001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 287693 x 287922
Total sieving time: 6.58 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 6.77 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10148+179

c120

name 名前Dmitry Domanov
date 日付May 15, 2010 21:55:16 UTC 2010 年 5 月 16 日 (日) 6 時 55 分 16 秒 (日本時間)
composite number 合成数
189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307<120>
prime factors 素因数
8012639032597147151431612574824237100276076643<46>
23692018194496545751395694744589299325361549056241457373244230081278320649<74>
factorization results 素因数分解の結果
Number: new04
N=189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307
  ( 120 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=8012639032597147151431612574824237100276076643 (pp46)
 r2=23692018194496545751395694744589299325361549056241457373244230081278320649 (pp74)
Version: Msieve-1.40
Total time: 8.84 hours.
Scaled time: 16.99 units (timescale=1.922).
Factorization parameters were as follows:
n: 189835589746224811253316461337749911096508929817658631498884757862058502107282217207466987727670712890560813813453501307
m: 100000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 391204 x 391452
Total sieving time: 8.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 8.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10150+179

c113

name 名前Sinkiti Sibata
date 日付May 15, 2010 03:08:36 UTC 2010 年 5 月 15 日 (土) 12 時 8 分 36 秒 (日本時間)
composite number 合成数
14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133<113>
prime factors 素因数
595997484524953352831441557984554258055948420571797879<54>
24112662761068483672224653521170249027843207691407415217627<59>
factorization results 素因数分解の結果
Number: 91113_150
N=14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133
  ( 113 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=595997484524953352831441557984554258055948420571797879 (pp54)
 r2=24112662761068483672224653521170249027843207691407415217627 (pp59)
Version: Msieve-1.40
Total time: 17.56 hours.
Scaled time: 35.30 units (timescale=2.010).
Factorization parameters were as follows:
name: 91113_150
n: 14371086350795332582457719679899734161765544124191072964394073431799750733576200860616310065979433345651442013133
m: 1000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 351108 x 351356
Total sieving time: 17.12 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 17.56 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10153+179

c115

name 名前Sinkiti Sibata
date 日付May 15, 2010 22:02:05 UTC 2010 年 5 月 16 日 (日) 7 時 2 分 5 秒 (日本時間)
composite number 合成数
7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269<115>
prime factors 素因数
1317440837139140481848018821345906902819016322135069<52>
5409525677429604982539961367345690706285464101353826892674244801<64>
factorization results 素因数分解の結果
Number: 91113_153
N=7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269
  ( 115 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1317440837139140481848018821345906902819016322135069 (pp52)
 r2=5409525677429604982539961367345690706285464101353826892674244801 (pp64)
Version: Msieve-1.40
Total time: 22.69 hours.
Scaled time: 48.49 units (timescale=2.137).
Factorization parameters were as follows:
name: 91113_153
n: 7126730036998534806103602759668450259394619516310643103399051548431310381955630348859752008272025267609259493026269
m: 1000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484053 x 484301
Total sieving time: 21.89 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 22.69 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10154+179

c100

name 名前Dmitry Domanov
date 日付May 14, 2010 03:51:23 UTC 2010 年 5 月 14 日 (金) 12 時 51 分 23 秒 (日本時間)
composite number 合成数
2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987<100>
prime factors 素因数
1503149413437890627878637883913466063117897497337<49>
1489335076101508123133916234308925076451704526628451<52>
factorization results 素因数分解の結果
N=2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987
  ( 100 digits)
Divisors found:
 r1=1503149413437890627878637883913466063117897497337 (pp49)
 r2=1489335076101508123133916234308925076451704526628451 (pp52)
Version: Msieve-1.40
Total time: 3.81 hours.
Scaled time: 7.47 units (timescale=1.963).
Factorization parameters were as follows:
n: 2238693146054458135299246235381265013183900272857220647927296494124246420024100154595701647360934987
skew: 3098.93
# norm 1.22e+014
c5: 711360
c4: 3052500456
c3: -1084858456826
c2: -20326899135326431
c1: -49944119662762197522
c0: 79949095728716441757600
# alpha -6.56
Y1: 85695938999
Y0: -5006966051669102701
# Murphy_E 3.57e-009
# M 80524662593747366832244664013376931342578896342345947475324952988172595874667682544141234391974074
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 : 196001 x 196227
Polynomial selection time: 0.38 hours.
Total sieving time: 3.22 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.07 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: 3.81 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10155+179

c154

name 名前Dmitry Domanov
date 日付May 15, 2010 17:21:41 UTC 2010 年 5 月 16 日 (日) 2 時 21 分 41 秒 (日本時間)
composite number 合成数
1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017<154>
prime factors 素因数
189924217083785170386395441671633<33>
28023167497463259693983687678543859056531655146781509572163<59>
192562632518525944164639667090589607680083178278459304664374123<63>
factorization results 素因数分解の結果
Number: new01
N=1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017
  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=189924217083785170386395441671633 (pp33)
 r2=28023167497463259693983687678543859056531655146781509572163 (pp59)
 r3=192562632518525944164639667090589607680083178278459304664374123 (pp63)
Version: Msieve-1.40
Total time: 15.81 hours.
Scaled time: 30.85 units (timescale=1.951).
Factorization parameters were as follows:
n: 1024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864016997875265591801024871891013623297087864017
m: 10000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 489439 x 489668
Total sieving time: 15.30 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 15.81 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10156+179

c141

name 名前Sinkiti Sibata
date 日付May 15, 2010 10:20:00 UTC 2010 年 5 月 15 日 (土) 19 時 20 分 0 秒 (日本時間)
composite number 合成数
969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511<141>
prime factors 素因数
41600210178306061275446198639579374901036324325370638935579<59>
23295614632393293247428312319909968323757789369419395622262557800442249391667278709<83>
factorization results 素因数分解の結果
Number: 91113_156
N=969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511
  ( 141 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=41600210178306061275446198639579374901036324325370638935579 (pp59)
 r2=23295614632393293247428312319909968323757789369419395622262557800442249391667278709 (pp83)
Version: Msieve-1.40
Total time: 25.36 hours.
Scaled time: 57.86 units (timescale=2.282).
Factorization parameters were as follows:
name: 91113_156
n: 969102464940383091777299369685977523227329857683999444267728920854359112197849998660696059094933746464851453067422136142679316877827289287511
m: 10000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 510553 x 510801
Total sieving time: 24.55 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 25.36 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10158+179

c129

name 名前Sinkiti Sibata
date 日付May 14, 2010 22:23:57 UTC 2010 年 5 月 15 日 (土) 7 時 23 分 57 秒 (日本時間)
composite number 合成数
586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303<129>
prime factors 素因数
157887785438581266094150218679909548753622838312171<51>
3712350847948261676606796544239106955252294987265315645210068419442525882233493<79>
factorization results 素因数分解の結果
Number: 91113_158
N=586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303
  ( 129 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=157887785438581266094150218679909548753622838312171 (pp51)
 r2=3712350847948261676606796544239106955252294987265315645210068419442525882233493 (pp79)
Version: Msieve v. 1.42
Total time: 1.30 hours.
Scaled time: 1.11 units (timescale=0.854).
Factorization parameters were as follows:
name: 91113_158
n: 586134854153590365798674175091934999536898608540452273998141625536739410500744003792397715915919596134472457914215520495845743303
m: 10000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
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: 50/50
Sieved rational special-q in [1600000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 591579 x 591806
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 1.30 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.57 BogoMIPS (lpj=2913789)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11654.11 BogoMIPS).

Total time: 14 hours 27 min.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10159+179

c102

name 名前Dmitry Domanov
date 日付May 14, 2010 07:17:44 UTC 2010 年 5 月 14 日 (金) 16 時 17 分 44 秒 (日本時間)
composite number 合成数
235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641<102>
prime factors 素因数
5982219685123533904676826898890231845328523<43>
39419732565513901707918593490168490515781075356267077860267<59>
factorization results 素因数分解の結果
Number: new12
N=235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641
  ( 102 digits)
Divisors found:
 r1=5982219685123533904676826898890231845328523 (pp43)
 r2=39419732565513901707918593490168490515781075356267077860267 (pp59)
Version: Msieve-1.40
Total time: 5.24 hours.
Scaled time: 10.19 units (timescale=1.946).
Factorization parameters were as follows:
name: new12
n: 235817500135722488423399933746049306631272607958613788197681539793031651500266610317337072822503495641
skew: 10412.33
# norm 1.38e+014
c5: 24360
c4: -846135794
c3: -4598139349245
c2: 36986234518750852
c1: 451604797837399729968
c0: 999293076820971707151808
# alpha -6.17
Y1: 50604080857
Y0: -24956625800866158045
# Murphy_E 2.87e-009
# M 175566211767128473621372286680677220142082536682383024454817787930316683084267043525610998047239435068
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206997 x 207222
Polynomial selection time: 0.50 hours.
Total sieving time: 4.52 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.24 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10160+179

c121

name 名前Sinkiti Sibata
date 日付May 15, 2010 10:27:12 UTC 2010 年 5 月 15 日 (土) 19 時 27 分 12 秒 (日本時間)
composite number 合成数
2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669<121>
prime factors 素因数
18919684898368891611437460199390441397010007855394594651191<59>
150243876037232908852338519426547848774836078011843258733006459<63>
factorization results 素因数分解の結果
Number: 91113_160
N=2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669
  ( 121 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=18919684898368891611437460199390441397010007855394594651191 (pp59)
 r2=150243876037232908852338519426547848774836078011843258733006459 (pp63)
Version: Msieve-1.40
Total time: 25.41 hours.
Scaled time: 54.58 units (timescale=2.148).
Factorization parameters were as follows:
name: 91113_160
n: 2842566792534043256862184457675332940856336509945042161934072314425447354819882519757261907379396390802450893287855042669
m: 100000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 603532 x 603762
Total sieving time: 24.65 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 25.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 860 2.80GHz,Windows 7 64bit,and Cygwin )

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10161+179

c139

name 名前Dmitry Domanov
date 日付May 16, 2010 15:30:40 UTC 2010 年 5 月 17 日 (月) 0 時 30 分 40 秒 (日本時間)
composite number 合成数
2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531<139>
prime factors 素因数
9257443088286638225329460627983338595975840038742676874183383759<64>
237727187998304341137298682638199581597194107226622732466862481563931159309<75>
factorization results 素因数分解の結果
Number: new05
N=2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531
  ( 139 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=9257443088286638225329460627983338595975840038742676874183383759 (pp64)
 r2=237727187998304341137298682638199581597194107226622732466862481563931159309 (pp75)
Version: Msieve-1.40
Total time: 25.75 hours.
Scaled time: 47.77 units (timescale=1.855).
Factorization parameters were as follows:
n: 2200745913432720777862276756580530639547141912015252022201848184095572285848223976022434848389006073126448990734886223094066014877312262531
m: 100000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 639783 x 640011
Total sieving time: 25.08 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 25.75 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10162+179

c154

name 名前Dmitry Domanov
date 日付May 17, 2010 16:21:45 UTC 2010 年 5 月 18 日 (火) 1 時 21 分 45 秒 (日本時間)
composite number 合成数
1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329<154>
prime factors 素因数
694078749804452970735696527503481581<36>
1101561808809300609075348038384371453<37>
1897090055735674223343390929365642482219177248438234622540531973363374715842118753<82>
factorization results 素因数分解の結果
Number: new06
N=1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329
  ( 154 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=694078749804452970735696527503481581 (pp36)
 r2=1101561808809300609075348038384371453 (pp37)
 r3=1897090055735674223343390929365642482219177248438234622540531973363374715842118753 (pp82)
Version: Msieve-1.40
Total time: 28.42 hours.
Scaled time: 53.35 units (timescale=1.877).
Factorization parameters were as follows:
n: 1450459363914779682726183716545085542825905136591508314454423560469970769806759080576212089952687738942463621102941253167268858223316993077768634278290329
m: 100000000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 746770 x 746996
Total sieving time: 27.44 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 28.42 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10163+179

c158

name 名前Sinkiti Sibata
date 日付May 16, 2010 12:48:59 UTC 2010 年 5 月 16 日 (日) 21 時 48 分 59 秒 (日本時間)
composite number 合成数
13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307<158>
prime factors 素因数
6681171730045672334224952186417385254927720854566939910823640331<64>
2025378931525133974662292355974365656861510794958193029534486446439419774407118034802838640297<94>
factorization results 素因数分解の結果
Number: 91113_163
N=13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307
  ( 158 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=6681171730045672334224952186417385254927720854566939910823640331 (pp64)
 r2=2025378931525133974662292355974365656861510794958193029534486446439419774407118034802838640297 (pp94)
Version: Msieve-1.40
Total time: 46.26 hours.
Scaled time: 149.79 units (timescale=3.238).
Factorization parameters were as follows:
name: 91113_163
n: 13531904459935834679469036452986838688196718773905161251536799411844023810145004092658494617544731319168762832927962031984438441889653887053583090703811018307
m: 100000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 697637 x 697885
Total sieving time: 45.02 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 46.26 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10164+179

c154

name 名前Sinkiti Sibata
date 日付May 16, 2010 12:53:29 UTC 2010 年 5 月 16 日 (日) 21 時 53 分 29 秒 (日本時間)
composite number 合成数
1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873<154>
prime factors 素因数
5453205988940313609274070047354422179694555705374638950667<58>
196047463728227406630914075521110560757210801813122141681127626530760455332023234209007494894619<96>
factorization results 素因数分解の結果
Number: 91113_164
N=1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873
  ( 154 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=5453205988940313609274070047354422179694555705374638950667 (pp58)
 r2=196047463728227406630914075521110560757210801813122141681127626530760455332023234209007494894619 (pp96)
Version: Msieve-1.40
Total time: 43.54 hours.
Scaled time: 135.49 units (timescale=3.112).
Factorization parameters were as follows:
name: 91113_164
n: 1069087203319328596672728388114739325633584223752573449009403929483218194757109484050981847949290461152113191226118040240520868867743145898253421904760873
m: 200000000000000000000000000000000
deg: 5
c5: 25625
c0: 17
skew: 0.23
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
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, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 687343 x 687590
Total sieving time: 42.18 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.96 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 43.54 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10165+179

c136

name 名前Markus Tervooren
date 日付May 21, 2010 03:07:43 UTC 2010 年 5 月 21 日 (金) 12 時 7 分 43 秒 (日本時間)
composite number 合成数
5582024561142512767472812509392087904050554763480102316149312618224951913357984782406891694608963071129378517953749086860107187141457459<136>
prime factors 素因数
915840727120322106729336925547<30>
6094973062285701090207182788883144661565207511674279795052649393504619085642307020529609921720107865310297<106>
factorization results 素因数分解の結果
Fri May 21 00:06:46 2010  prp30 factor: 915840727120322106729336925547
Fri May 21 00:06:46 2010  prp106 factor: 6094973062285701090207182788883144661565207511674279795052649393504619085642307020529609921720107865310297

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10166+179

c139

name 名前Serge Batalov
date 日付May 14, 2010 06:34:42 UTC 2010 年 5 月 14 日 (金) 15 時 34 分 42 秒 (日本時間)
composite number 合成数
8382862216250736862563773885977275555106653848833632278243977471941144213747407124958791974070237885426566795452803924434457852192442400557<139>
prime factors 素因数
4858273133930158602429763811176514329<37>
composite cofactor 合成数の残り
1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333<103>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=354672199
Step 1 took 4992ms
Step 2 took 2633ms
********** Factor found in step 2: 4858273133930158602429763811176514329
Found probable prime factor of 37 digits: 4858273133930158602429763811176514329
Composite cofactor has 103 digits

c103

name 名前Dmitry Domanov
date 日付May 14, 2010 21:52:13 UTC 2010 年 5 月 15 日 (土) 6 時 52 分 13 秒 (日本時間)
composite number 合成数
1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333<103>
prime factors 素因数
504742353348023804017813144417421456871512645653<48>
3418539893488372730772838500428811339296289133697830561<55>
factorization results 素因数分解の結果
Number: new13
N=1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333
  ( 103 digits)
Divisors found:
 r1=504742353348023804017813144417421456871512645653 (pp48)
 r2=3418539893488372730772838500428811339296289133697830561 (pp55)
Version: Msieve-1.40
Total time: 6.07 hours.
Scaled time: 11.28 units (timescale=1.860).
Factorization parameters were as follows:
name: new13
n: 1725481870853423888189791265548285807678612909702357091775019090850446323151936066968148563283627201333
skew: 4607.34
# norm 1.07e+014
c5: 75600
c4: 3720478704
c3: -2491371751871
c2: -75744265931664106
c1: 40663810221935016184
c0: 107011609308218830588320
# alpha -6.02
Y1: 116621884483
Y0: -29625173028059534443
# Murphy_E 2.65e-009
# M 1136911264888065093869747367793786726182059218130955322838623856287308103568680179816495027383892317150
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 246293 x 246524
Polynomial selection time: 0.57 hours.
Total sieving time: 5.23 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.07 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10167+179

c151

name 名前Sinkiti Sibata
date 日付May 16, 2010 22:38:25 UTC 2010 年 5 月 17 日 (月) 7 時 38 分 25 秒 (日本時間)
composite number 合成数
1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333<151>
prime factors 素因数
104286494254734496808941076756928990914570092464413<51>
17675220881006093261801519683112800571816387853884700916897589658355527775976282924182829587695153841<101>
factorization results 素因数分解の結果
Number: 91113_167
N=1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333
  ( 151 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=104286494254734496808941076756928990914570092464413 (pp51)
 r2=17675220881006093261801519683112800571816387853884700916897589658355527775976282924182829587695153841 (pp101)
Version: Msieve v. 1.42
Total time: 1.92 hours.
Scaled time: 1.96 units (timescale=1.024).
Factorization parameters were as follows:
name: 91113_167
n: 1843286820858205156020279962995455298077897048700323023521010902865736871791960030252351561870616936639118867269359204092675103269949943627792852760333
m: 1000000000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 4700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 858688 x 858914
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 1.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.19 BogoMIPS (lpj=2394097)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393881)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393889)
Total of 4 processors activated (19151.51 BogoMIPS).

Total time: 32 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6623118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
505Ignacio SantosMay 14, 2010 15:49:14 UTC 2010 年 5 月 15 日 (土) 0 時 49 分 14 秒 (日本時間)
403e6190 / 1998Ignacio SantosMay 14, 2010 15:49:14 UTC 2010 年 5 月 15 日 (土) 0 時 49 分 14 秒 (日本時間)
4511e653 / 4410Ignacio SantosMay 14, 2010 15:49:14 UTC 2010 年 5 月 15 日 (土) 0 時 49 分 14 秒 (日本時間)

82×10172+179

c149

name 名前Ignacio Santos
date 日付May 14, 2010 13:47:46 UTC 2010 年 5 月 14 日 (金) 22 時 47 分 46 秒 (日本時間)
composite number 合成数
59272376134795179789116011703033010811965086828788122349848216676712513647302712962904924551420811357874374458526543534101453140831794314258964664123<149>
prime factors 素因数
25413506161017873264712462919617928489<38>
2332317932018128730384729363991908352511826873469049648431936477642506085422964990651659948080109844437568762307<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3316400038
Step 1 took 21216ms
Step 2 took 16380ms
********** Factor found in step 2: 25413506161017873264712462919617928489
Found probable prime factor of 38 digits: 25413506161017873264712462919617928489
Probable prime cofactor 2332317932018128730384729363991908352511826873469049648431936477642506085422964990651659948080109844437568762307 has 112 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10173+179

c125

name 名前ruffenach timothee
date 日付July 15, 2010 20:37:34 UTC 2010 年 7 月 16 日 (金) 5 時 37 分 34 秒 (日本時間)
composite number 合成数
22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869<125>
prime factors 素因数
50918920975053459374181212509893980989478718898829<50>
446363148391063076205447019854164186142713925794503145959795168000553106761<75>
factorization results 素因数分解の結果
Number: 91113_173/91113_173
N=22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869
  ( 125 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=50918920975053459374181212509893980989478718898829 (pp50)
 r2=446363148391063076205447019854164186142713925794503145959795168000553106761 (pp75)
Version: Msieve v. 1.44
Total time: 91.31 hours.
Scaled time: 184.45 units (timescale=2.020).
Factorization parameters were as follows:
n: 22728329879100601468116101594196023734229535704684217778820702744006044081677650833022312172979510695409841207560560794882869
m: 10000000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 7000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1115331 x 1115561
Total sieving time: 89.31 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 91.31 hours.
 --------- CPU info (if available) ----------
[    0.075688] CPU0: Intel(R) Core(TM)2 Quad CPU    Q8300  @ 2.50GHz stepping 0a
[    0.000000] Memory: 3346268k/3407488k available (4679k kernel code, 59632k reserved, 2143k data, 576k init, 2498184k highmem)
[    0.004004] Calibrating delay loop (skipped), value calculated using timer frequency.. 4987.78 BogoMIPS (lpj=9975564)
[    0.348022] Total of 4 processors activated (19950.26 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6543118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
425Ignacio SantosMay 14, 2010 17:19:29 UTC 2010 年 5 月 15 日 (土) 2 時 19 分 29 秒 (日本時間)
403e62047160Ignacio SantosMay 14, 2010 17:19:29 UTC 2010 年 5 月 15 日 (土) 2 時 19 分 29 秒 (日本時間)
1887Wataru SakaiMay 26, 2010 06:43:45 UTC 2010 年 5 月 26 日 (水) 15 時 43 分 45 秒 (日本時間)
4511e645 / 3968Ignacio SantosMay 14, 2010 17:19:29 UTC 2010 年 5 月 15 日 (土) 2 時 19 分 29 秒 (日本時間)
5043e610 / 7463Rich DickersonJuly 2, 2010 02:34:58 UTC 2010 年 7 月 2 日 (金) 11 時 34 分 58 秒 (日本時間)

82×10175+179

c168

name 名前matsui
date 日付August 24, 2010 10:35:49 UTC 2010 年 8 月 24 日 (火) 19 時 35 分 49 秒 (日本時間)
composite number 合成数
307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619<168>
prime factors 素因数
19105388602221941271673523579321154842370011<44>
16101656215331488460773714322299197368334838077062656302716058249935509235907702340561570271977662149457031821252736901712329<125>
factorization results 素因数分解の結果
N=307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619
  ( 168 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=19105388602221941271673523579321154842370011 (pp44)
 r2=16101656215331488460773714322299197368334838077062656302716058249935509235907702340561570271977662149457031821252736901712329 (pp125)
Version: Msieve v. 1.47
Total time:
Scaled time: 16.20 units (timescale=1.762).
Factorization parameters were as follows:
n: 307628399133290299346641211076913975278043203874850700200296062846858265234319277963223492328719193590807806526668351127233345271678706186142958819456029983186498565619
m: 100000000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1347603 x 1347831
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 568Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6120 / 2318Rich DickersonJuly 1, 2010 03:58:56 UTC 2010 年 7 月 1 日 (木) 12 時 58 分 56 秒 (日本時間)

82×10176+179

c128

name 名前Serge Batalov
date 日付May 14, 2010 05:00:37 UTC 2010 年 5 月 14 日 (金) 14 時 0 分 37 秒 (日本時間)
composite number 合成数
48558038293115665677307503964845160010306699782527157746487674497605138737750184784354622146631843382655895455882546910586846019<128>
prime factors 素因数
54256640131419202741304502872009<32>
894969503741836704554030385609832529742872307818126252850279018153577478888941433315672026654891<96>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=703236478
Step 1 took 3132ms
Step 2 took 2012ms
********** Factor found in step 2: 54256640131419202741304502872009
Found probable prime factor of 32 digits: 54256640131419202741304502872009
Probable prime cofactor has 96 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10178+179

c166

name 名前Robert Backstrom
date 日付February 24, 2012 19:56:05 UTC 2012 年 2 月 25 日 (土) 4 時 56 分 5 秒 (日本時間)
composite number 合成数
4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181<166>
prime factors 素因数
3619397358945853160234023595567988377141102039617<49>
18447676393042060708234401403057720199607607122481985657<56>
64408178787746008196434649808512362177106510197393585471041949<62>
factorization results 素因数分解の結果
Number: n
N=4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181
  ( 166 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Feb 25 03:04:25 2012  prp49 factor: 3619397358945853160234023595567988377141102039617
Sat Feb 25 03:04:25 2012  prp56 factor: 18447676393042060708234401403057720199607607122481985657
Sat Feb 25 03:04:25 2012  prp62 factor: 64408178787746008196434649808512362177106510197393585471041949
Sat Feb 25 03:04:25 2012  elapsed time 03:02:57 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.070).
Factorization parameters were as follows:
name: KA_91113_178
n: 4300500039621760416218474388532176692859210387984334874933520614589731425261025083722339984269343810788769449481896898877898247922582830740104189891601542707452056181
m: 100000000000000000000000000000000000
#  c166, diff: 179.91
skew: 0.18
deg: 5
c5: 82000
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9971109 hash collisions in 79542329 relations (73979572 unique)
Msieve: matrix is 1222796 x 1223030 (337.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6300 / 2318Rich DickersonOctober 26, 2010 02:27:18 UTC 2010 年 10 月 26 日 (火) 11 時 27 分 18 秒 (日本時間)

82×10179+179

c175

name 名前Wataru Sakai
date 日付May 17, 2010 01:14:12 UTC 2010 年 5 月 17 日 (月) 10 時 14 分 12 秒 (日本時間)
composite number 合成数
2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661<175>
prime factors 素因数
591142271683524909650188872353477106879688489797835335309738231907573501<72>
3573276644510026393763720321446854942627652858477829989704553079718616522918705831390773229575628167161<103>
factorization results 素因数分解の結果
Number: 91113_179
N=2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661
  ( 175 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=591142271683524909650188872353477106879688489797835335309738231907573501
 r2=3573276644510026393763720321446854942627652858477829989704553079718616522918705831390773229575628167161
Version: 
Total time: 157.56 hours.
Scaled time: 315.91 units (timescale=2.005).
Factorization parameters were as follows:
n: 2112314872989340280273271720714879480844524094171118627860866456104937742095112386743214896868802320043008791609061006487125054450067838795341675946684142208250032135522000661
m: 200000000000000000000000000000000000
deg: 5
c5: 25625
c0: 17
skew: 0.23
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1352982 x 1353230
Total sieving time: 157.56 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 157.56 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)

82×10181+179

c150

name 名前Dmitry Domanov
date 日付January 9, 2014 09:03:05 UTC 2014 年 1 月 9 日 (木) 18 時 3 分 5 秒 (日本時間)
composite number 合成数
121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313<150>
prime factors 素因数
116254978752800566370187649860907565005791781<45>
8294842735876936632698836676794302086229247964536607<52>
126451517362627926307401887758703359699221473724204139<54>
factorization results 素因数分解の結果
N=121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313
  ( 150 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=116254978752800566370187649860907565005791781 (pp45)
 r2=8294842735876936632698836676794302086229247964536607 (pp52)
 r3=126451517362627926307401887758703359699221473724204139 (pp54)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 135.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 121939318281096594120648253113278545333423927058710108907842496917383022708537728033178519585379342162191913722283475922712489268689959053414227230313
m: 1000000000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
# Murphy_E = 8.718e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 10500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1284508 x 1284733
Total sieving time: 133.66 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.53 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 135.86 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6597300Rich DickersonOctober 23, 2010 20:19:11 UTC 2010 年 10 月 24 日 (日) 5 時 19 分 11 秒 (日本時間)
297KTakahashiDecember 7, 2012 21:19:01 UTC 2012 年 12 月 8 日 (土) 6 時 19 分 1 秒 (日本時間)
4511e61214 / 399264Rich DickersonOctober 26, 2010 14:48:52 UTC 2010 年 10 月 26 日 (火) 23 時 48 分 52 秒 (日本時間)
300Rich DickersonJune 15, 2013 19:52:48 UTC 2013 年 6 月 16 日 (日) 4 時 52 分 48 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:11 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 11 秒 (日本時間)
5043e6100 / 7258Rich DickersonJune 15, 2013 20:58:42 UTC 2013 年 6 月 16 日 (日) 5 時 58 分 42 秒 (日本時間)

82×10189+179

c142

name 名前Eric Jeancolas
date 日付April 4, 2020 15:33:39 UTC 2020 年 4 月 5 日 (日) 0 時 33 分 39 秒 (日本時間)
composite number 合成数
7105159587556645424837951183952630223830016439011972408914355794528493823597305552169770552954088808637795703874637463973315816083760036144259<142>
prime factors 素因数
802487741924200877470859804064348520899893857080640951972846354893479<69>
8853916659860661820054972488848706448078736939115129170149553481075162821<73>
factorization results 素因数分解の結果
7105159587556645424837951183952630223830016439011972408914355794528493823597305552169770552954088808637795703874637463973315816083760036144259=802487741924200877470859804064348520899893857080640951972846354893479*8853916659860661820054972488848706448078736939115129170149553481075162821

Info:Square Root: Factors: 802487741924200877470859804064348520899893857080640951972846354893479 8853916659860661820054972488848706448078736939115129170149553481075162821
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66462/43.730/51.084/56.160/0.933
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66462/41.230/45.988/51.840/1.472
Info:Polynomial Selection (size optimized): Total time: 21822
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3729.76
Info:Polynomial Selection (root optimized): Rootsieve time: 3728.24
Info:Generate Factor Base: Total cpu/real time for makefb: 40.92/10.5063
Info:Generate Free Relations: Total cpu/real time for freerel: 1488.62/259.137
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34026747
Info:Lattice Sieving: Average J: 3790.51 for 1128964 special-q, max bucket fill -bkmult 1.0,1s:1.315140
Info:Lattice Sieving: Total time: 186328s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 205.64/253.434
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 252.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1474.08/889.399
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 741.5000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1059.12/822.509
Info:Filtering - Merging: Total cpu/real time for merge: 2692.79/2612.54
Info:Filtering - Merging: Total cpu/real time for replay: 244.29/254.892
Info:Linear Algebra: Total cpu/real time for bwc: 315108/163292
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 109030.0, iteration CPU time 1.41, COMM 0.03, cpu-wait 0.16, comm-wait 0.0 (68000 iterations)
Info:Linear Algebra: Lingen CPU time 13003.35, WCT time 6192.71
Info:Linear Algebra: Mksol: WCT time 46460.42, iteration CPU time 1.19, COMM 0.03, cpu-wait 0.14, comm-wait 0.0 (34000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 266.17/143.673
Info:Square Root: Total cpu/real time for sqrt: 16604.9/4993.25
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 884771/366875
Info:root: Cleaning up computation data in /tmp/cado.xz8x6c57
802487741924200877470859804064348520899893857080640951972846354893479 8853916659860661820054972488848706448078736939115129170149553481075162821
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
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62446300Rich DickersonOctober 23, 2010 22:27:02 UTC 2010 年 10 月 24 日 (日) 7 時 27 分 2 秒 (日本時間)
346KTakahashiDecember 4, 2012 19:17:06 UTC 2012 年 12 月 5 日 (水) 4 時 17 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:11 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 11 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:05:50 UTC 2014 年 2 月 17 日 (月) 17 時 5 分 50 秒 (日本時間)
4511e61050 / 393450Rich DickersonOctober 26, 2010 03:40:35 UTC 2010 年 10 月 26 日 (火) 12 時 40 分 35 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:05:50 UTC 2014 年 2 月 17 日 (月) 17 時 5 分 50 秒 (日本時間)

82×10190+179

c169

name 名前Edwin Hall
date 日付December 13, 2020 03:16:07 UTC 2020 年 12 月 13 日 (日) 12 時 16 分 7 秒 (日本時間)
composite number 合成数
4492815399273915019229362973854778624058003247226212483599102291249513357227982831502528431903635638508785183878578462703007807461564326678659179714109610241620247252793<169>
prime factors 素因数
446300759396316071762871655254458396643523342069214976471190064510497339<72>
10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787<98>
factorization results 素因数分解の結果
Factors: 10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787
446300759396316071762871655254458396643523342069214976471190064510497339

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 198.62/146.795
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.7s
Info:Filtering - Merging: Total cpu/real time for merge: 433.96/36.4532
Info:Filtering - Merging: Total cpu/real time for replay: 91.84/77.1356
Info:Quadratic Characters: Total cpu/real time for characters: 132.64/25.2449
Info:Square Root: Total cpu/real time for sqrt: 3424.92/227.817
Info:Filtering - Singleton removal: Total cpu/real time for purge: 380.81/121.395
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55087354
Info:Lattice Sieving: Average J: 3791.22 for 521494 special-q, max bucket fill -bkmult 1.0,1s:1.242940
Info:Lattice Sieving: Total time: 248395s
Info:Generate Free Relations: Total cpu/real time for freerel: 897.56/41.438
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1039.62/262.831
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 225.4s
Info:Linear Algebra: Total cpu/real time for bwc: 78875/7679.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 49426.13, WCT time 5024.93, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (62000 iterations)
Info:Linear Algebra: Lingen CPU time 2563.09, WCT time 110.39
Info:Linear Algebra: Mksol: CPU time 25641.61,  WCT time 2373.32, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 61.71/6.88699
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.44903e+06/15278.2
Info:root: Cleaning up computation data in /tmp/cado.nepoxt8f
10066788605403839126942816595675078659638774241431290624185335000877292402527132385017782925973787 446300759396316071762871655254458396643523342069214976471190064510497339
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 24, 2010 00:34:23 UTC 2010 年 10 月 24 日 (日) 9 時 34 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:12 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 12 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:06:10 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 10 秒 (日本時間)
4511e65200200Rich DickersonOctober 24, 2010 13:57:48 UTC 2010 年 10 月 24 日 (日) 22 時 57 分 48 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:06:10 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 10 秒 (日本時間)
4000Robert BalfourApril 17, 2020 21:47:50 UTC 2020 年 4 月 18 日 (土) 6 時 47 分 50 秒 (日本時間)

82×10192+179

c181

name 名前Robert Backstrom
date 日付March 7, 2012 11:09:16 UTC 2012 年 3 月 7 日 (水) 20 時 9 分 16 秒 (日本時間)
composite number 合成数
6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757<181>
prime factors 素因数
1425041520636312839937743897564731282492848736844081912705843179323299733204792223<82>
4595423717829413743908880818394848222563884065085441043271341973594814340928775435686140845032574259<100>
factorization results 素因数分解の結果
Number: n
N=6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757
  ( 181 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Mar  7 22:05:22 2012  prp82 factor: 1425041520636312839937743897564731282492848736844081912705843179323299733204792223
Wed Mar  7 22:05:22 2012  prp100 factor: 4595423717829413743908880818394848222563884065085441043271341973594814340928775435686140845032574259
Wed Mar  7 22:05:22 2012  elapsed time 05:24:04 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.655).
Factorization parameters were as follows:
name: KA_91113_192
n: 6548669602823805978938101988155279737323538707738642243948836640524454856946471482524507533614033899554274919109912756224589024927967444425026707643613594667513309182692236913187757
m: 100000000000000000000000000000000000000
#  c181, diff: 193.91
skew: 0.29
deg: 5
c5: 8200
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8884226 hash collisions in 78590462 relations (72014699 unique)
Msieve: matrix is 1395896 x 1396121 (394.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6300 / 2208Rich DickersonOctober 24, 2010 03:15:37 UTC 2010 年 10 月 24 日 (日) 12 時 15 分 37 秒 (日本時間)
4511e632 / 4409Rich DickersonOctober 26, 2010 04:14:39 UTC 2010 年 10 月 26 日 (火) 13 時 14 分 39 秒 (日本時間)

82×10193+179

c173

name 名前Bob Backstrom
date 日付March 7, 2021 09:07:08 UTC 2021 年 3 月 7 日 (日) 18 時 7 分 8 秒 (日本時間)
composite number 合成数
62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909<173>
prime factors 素因数
493212021269064196245264336596027116931795207583933770652361445059697<69>
125903470844453061580754965818363960655861984620526539516558835180549965047802531775965192416841025060997<105>
factorization results 素因数分解の結果
Number: n
N=62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909  ( 173 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Mar  7 20:00:48 2021  p69 factor: 493212021269064196245264336596027116931795207583933770652361445059697
Sun Mar  7 20:00:48 2021  p105 factor: 125903470844453061580754965818363960655861984620526539516558835180549965047802531775965192416841025060997
Sun Mar  7 20:00:48 2021  elapsed time 01:11:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 82x10^193+17 = 91(192)3
#
n: 62097105339983387329133446722827554070464426753542360799817300596148227443276375564764580346695440930747232727056242475613165265968374391683015430094705704471374733731337909
m: 100000000000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
# Murphy_E = 2.269e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19023223)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3290432 hash collisions in 26993401 relations (25194459 unique)
Msieve: matrix is 1648430 x 1648656 (575.5 MB)

Sieving start time : 2021/03/07 14:10:25
Sieving end time  : 2021/03/07 18:48:46

Total sieving time: 4hrs 38min 21secs.

Total relation processing time: 0hrs 56min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e61900100Rich DickersonOctober 24, 2010 14:56:54 UTC 2010 年 10 月 24 日 (日) 23 時 56 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:13 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 13 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:06:25 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 25 秒 (日本時間)
4511e61200 / 4055200Rich DickersonOctober 24, 2010 13:58:00 UTC 2010 年 10 月 24 日 (日) 22 時 58 分 0 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:06:25 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 25 秒 (日本時間)

82×10194+179

c177

name 名前Edwin Hall
date 日付January 4, 2021 17:47:15 UTC 2021 年 1 月 5 日 (火) 2 時 47 分 15 秒 (日本時間)
composite number 合成数
309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143<177>
prime factors 素因数
41023681651228456866193007085386497237858464028802120877897797<62>
7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019<115>
factorization results 素因数分解の結果
p62 factor: 41023681651228456866193007085386497237858464028802120877897797
p115 factor: 7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019


Msieve v. 1.54 (SVN 1034)
random seeds: 4d0b19af 12b836d5
factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 85
A1: 0
A2: 0
A3: 0
A4: 0
A5: 41
skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 645009 hash collisions in 37658721 relations
added 726706 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38385427 unique relations
memory use: 159.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1252.8 MB
keeping 40433338 ideals with weight <= 200, target excess is 204316
commencing in-memory singleton removal
begin with 38385427 relations and 40433338 unique ideals
reduce to 15274463 relations and 13461771 ideals in 14 passes
max relations containing the same ideal: 109
removing 2068661 relations and 1668661 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13205802 relations and 13461771 unique ideals
reduce to 12974087 relations and 11553387 ideals in 8 passes
max relations containing the same ideal: 99
removing 1650800 relations and 1250800 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11323287 relations and 11553387 unique ideals
reduce to 11148561 relations and 10122378 ideals in 8 passes
max relations containing the same ideal: 91
removing 1548764 relations and 1148764 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9599797 relations and 10122378 unique ideals
reduce to 9418446 relations and 8786188 ideals in 8 passes
max relations containing the same ideal: 80
removing 1509581 relations and 1114330 ideals in 395251 cliques
commencing in-memory singleton removal
begin with 7908865 relations and 8786188 unique ideals
reduce to 7695308 relations and 7449903 ideals in 9 passes
max relations containing the same ideal: 71
removing 70443 relations and 62045 ideals in 8398 cliques
commencing in-memory singleton removal
begin with 7624865 relations and 7449903 unique ideals
reduce to 7624370 relations and 7387363 ideals in 4 passes
max relations containing the same ideal: 70
relations with 0 large ideals: 4332
relations with 1 large ideals: 12493
relations with 2 large ideals: 99235
relations with 3 large ideals: 438704
relations with 4 large ideals: 1165222
relations with 5 large ideals: 1927367
relations with 6 large ideals: 2069530
relations with 7+ large ideals: 1907487
commencing 2-way merge
reduce to 4705376 relation sets and 4468369 unique ideals
commencing full merge
memory use: 515.9 MB
found 2187660 cycles, need 2162569
weight of 2162569 cycles is about 194824876 (90.09/cycle)
distribution of cycle lengths:
1 relations: 179986
2 relations: 178338
3 relations: 187877
4 relations: 185025
5 relations: 181895
6 relations: 169560
7 relations: 159495
8 relations: 145210
9 relations: 129700
10+ relations: 645483
heaviest cycle: 26 relations
commencing cycle optimization
start with 16007969 relations
pruned 543919 relations
memory use: 474.1 MB
distribution of cycle lengths:
1 relations: 179986
2 relations: 182707
3 relations: 194960
4 relations: 191497
5 relations: 188774
6 relations: 175144
7 relations: 164628
8 relations: 148681
9 relations: 132577
10+ relations: 603615
heaviest cycle: 25 relations
RelProcTime: 966
elapsed time 00:16:07


Msieve v. 1.54 (SVN 1034)
random seeds: e51c18b7 4f9850ba
factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 85
A1: 0
A2: 0
A3: 0
A4: 0
A5: 41
skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1

commencing linear algebra
read 2162569 cycles
cycles contain 7457868 unique relations
read 7457868 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 935.7 MB
read 2162569 cycles
matrix is 2162390 x 2162569 (794.3 MB) with weight 238365841 (110.22/col)
sparse part has weight 184425108 (85.28/col)
filtering completed in 2 passes
matrix is 2161648 x 2161827 (794.2 MB) with weight 238334020 (110.25/col)
sparse part has weight 184412733 (85.30/col)
matrix starts at (0, 0)
matrix is 2161648 x 2161827 (794.2 MB) with weight 238334020 (110.25/col)
sparse part has weight 184412733 (85.30/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2161600 x 2161827 (759.0 MB) with weight 195295201 (90.34/col)
sparse part has weight 177339355 (82.03/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 718.1 MB
linear algebra at 0.1%, ETA 1h58m
checkpointing every 1050000 dimensions
lanczos halted after 34186 iterations (dim = 2161600)
recovered 36 nontrivial dependencies
BLanczosTime: 7749
elapsed time 02:09:10


Msieve v. 1.54 (SVN 1034)
random seeds: 25b9f9e3 fb62daba
factoring 309224750100368092261579539438709545125562054824081603762647217378016695297006819212742163748150645236721177985332019589444063650459802297961811356033076338792881840333502569143 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 85
A1: 0
A2: 0
A3: 0
A4: 0
A5: 41
skew 1.00, size 1.237e-13, alpha -0.277, combined = 2.240e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1081453 cycles
cycles contain 3729384 unique relations
read 3729384 relations
multiplying 3729384 relations
multiply complete, coefficients have about 103.21 million bits
initial square root is modulo 25616141
GCD is 1, no factor found
reading relations for dependency 2
read 1079982 cycles
cycles contain 3725062 unique relations
read 3725062 relations
multiplying 3725062 relations
multiply complete, coefficients have about 103.10 million bits
initial square root is modulo 25123561
sqrtTime: 420
p62 factor: 41023681651228456866193007085386497237858464028802120877897797
p115 factor: 7537713283008287400350226137629349121972406807738209154203085689088641443090790252798162774875664066153661452963019
elapsed time 00:07:01
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 24, 2010 19:15:25 UTC 2010 年 10 月 25 日 (月) 4 時 15 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:14 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 14 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:06:42 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 42 秒 (日本時間)
4511e61300 / 4011300Rich DickersonOctober 25, 2010 17:51:33 UTC 2010 年 10 月 26 日 (火) 2 時 51 分 33 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:06:42 UTC 2014 年 2 月 17 日 (月) 17 時 6 分 42 秒 (日本時間)

82×10195+179

c176

name 名前Bob Backstrom
date 日付March 4, 2021 07:14:29 UTC 2021 年 3 月 4 日 (木) 16 時 14 分 29 秒 (日本時間)
composite number 合成数
94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537<176>
prime factors 素因数
12055294435909984942126023498587748200844299830511820573753885790324663<71>
7857494503268360366766627782641513760052349757301897361413524389348518837232835486399447112373759892147399<106>
factorization results 素因数分解の結果
Number: n
N=94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537  ( 176 digits)
SNFS difficulty: 196 digits.
Divisors found:

Thu Mar  4 18:10:22 2021  p71 factor: 12055294435909984942126023498587748200844299830511820573753885790324663
Thu Mar  4 18:10:22 2021  p106 factor: 7857494503268360366766627782641513760052349757301897361413524389348518837232835486399447112373759892147399
Thu Mar  4 18:10:22 2021  elapsed time 01:15:57 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 82x10^195+17 = 91(194)3
#
n: 94724409765444355721868493518017738405442091426316534277196813704661103849152822699912675829231848788073916128593352894334949937314600764127805998201484406046085699424461001537
m: 1000000000000000000000000000000000000000
deg: 5
c5: 82
c0: 17
skew: 0.73
# Murphy_E = 2.396e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3435918 hash collisions in 28132139 relations (26265493 unique)
Msieve: matrix is 1630256 x 1630481 (568.9 MB)

Sieving start time : 2021/03/04 12:05:13
Sieving end time  : 2021/03/04 16:53:44

Total sieving time: 4hrs 48min 31secs.

Total relation processing time: 0hrs 51min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 38sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 24, 2010 20:36:28 UTC 2010 年 10 月 25 日 (月) 5 時 36 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:15 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 15 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:07:01 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 1 秒 (日本時間)
4511e61300 / 4011300Rich DickersonOctober 25, 2010 17:48:50 UTC 2010 年 10 月 26 日 (火) 2 時 48 分 50 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:07:01 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 1 秒 (日本時間)

82×10196+179

c182

name 名前Bob Backstrom
date 日付March 1, 2021 22:09:56 UTC 2021 年 3 月 2 日 (火) 7 時 9 分 56 秒 (日本時間)
composite number 合成数
11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549<182>
prime factors 素因数
252730206611290093045599579497216589513506064643065298480911039941479735998772158118493<87>
44473379584987404187799726783143665053844456635642984081804539134235750395114055307175155221993<95>
factorization results 素因数分解の結果
Number: n
N=11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549  ( 182 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Mar  2 09:04:06 2021  p87 factor: 252730206611290093045599579497216589513506064643065298480911039941479735998772158118493
Tue Mar  2 09:04:06 2021  p95 factor: 44473379584987404187799726783143665053844456635642984081804539134235750395114055307175155221993
Tue Mar  2 09:04:06 2021  elapsed time 01:15:18 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 82x10^196+17 = 91(195)3
#
n: 11239766411216197512347106754331822719949119788522139734333739417284228995447396497014657809394155926429213456071635019377145027035921165475736195593952464559768232423023338613616549
m: 1000000000000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
# Murphy_E = 2.113e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3357588 hash collisions in 27427370 relations (25589190 unique)
Msieve: matrix is 1735926 x 1736151 (608.8 MB)

Sieving start time : 2021/03/02 02:26:08
Sieving end time  : 2021/03/02 07:45:47

Total sieving time: 5hrs 19min 39secs.

Total relation processing time: 0hrs 59min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 42sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 25, 2010 00:18:41 UTC 2010 年 10 月 25 日 (月) 9 時 18 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:16 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 16 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:07:15 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 15 秒 (日本時間)
4511e6150 / 4011Rich DickersonOctober 26, 2010 13:10:39 UTC 2010 年 10 月 26 日 (火) 22 時 10 分 39 秒 (日本時間)

82×10198+179

c152

name 名前Eric Jeancolas
date 日付July 14, 2021 05:54:10 UTC 2021 年 7 月 14 日 (水) 14 時 54 分 10 秒 (日本時間)
composite number 合成数
37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341<152>
prime factors 素因数
738783617611967898711782554365501233268689880199856910569702406041863<69>
50280496167248724878116790005527426208071434759115494023388007396648621389474043107<83>
factorization results 素因数分解の結果
37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341=738783617611967898711782554365501233268689880199856910569702406041863*50280496167248724878116790005527426208071434759115494023388007396648621389474043107

cado polynomial
n: 37146406853764699489750044872243532010369987716235326410722800188908550115313219606998618014054638905980538478081822674912454036384146039833167308588341
skew: 0.77
type: snfs
c0: 17
c6: 82
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 82*x^6+17
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 738783617611967898711782554365501233268689880199856910569702406041863 50280496167248724878116790005527426208071434759115494023388007396648621389474043107
Info:Square Root: Total cpu/real time for sqrt: 784.65/236.136
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28837033
Info:Lattice Sieving: Average J: 1893.21 for 3795639 special-q, max bucket fill -bkmult 1.0,1s:1.173810
Info:Lattice Sieving: Total time: 988436s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.74/3.84764
Info:Generate Free Relations: Total cpu/real time for freerel: 182.75/47.066
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.05/147.2
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 146.20000000000005s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 552.27/533.414
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 430.79999999999995s
Info:Filtering - Merging: Merged matrix has 2689816 rows and total weight 457516562 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 745.07/206.088
Info:Filtering - Merging: Total cpu/real time for replay: 106.27/92.7573
Info:Linear Algebra: Total cpu/real time for bwc: 126760/32453.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 81354.39, WCT time 20755.87, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations)
Info:Linear Algebra: Lingen CPU time 585.1, WCT time 148.4
Info:Linear Algebra: Mksol: CPU time 43836.27,  WCT time 11196.21, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 92.53/41.2083
Info:Square Root: Total cpu/real time for sqrt: 784.65/236.136
Info:Filtering - Singleton removal: Total cpu/real time for purge: 438.39/487.886
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.04298e+06/104421
Info:root: Cleaning up computation data in /tmp/cado.jni7tefx
738783617611967898711782554365501233268689880199856910569702406041863 50280496167248724878116790005527426208071434759115494023388007396648621389474043107
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62100300Rich DickersonOctober 25, 2010 00:18:28 UTC 2010 年 10 月 25 日 (月) 9 時 18 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:17 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 17 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:07:28 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 28 秒 (日本時間)
4511e61212 / 4011212Rich DickersonOctober 26, 2010 13:07:40 UTC 2010 年 10 月 26 日 (火) 22 時 7 分 40 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:07:28 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 28 秒 (日本時間)

82×10199+179

c179

name 名前Rich Dickerson
date 日付October 26, 2010 01:21:49 UTC 2010 年 10 月 26 日 (火) 10 時 21 分 49 秒 (日本時間)
composite number 合成数
21769421411378083733783896654566984566235704548798609775907810343311747254989509902748935754551814161994075374765741443744678584064674209649100793754476909456721369737141126761919<179>
prime factors 素因数
9905816859120072358555496458241347<34>
2197640206858402195187406419975670663417643118623478333671799258823606881720470930648315664336568856940862362210105490989904186027253070503710677<145>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4056647778
Step 1 took 141851ms
Step 2 took 65214ms
********** Factor found in step 2: 9905816859120072358555496458241347
Found probable prime factor of 34 digits: 9905816859120072358555496458241347
Probable prime cofactor 2197640206858402195187406419975670663417643118623478333671799258823606881720470930648315664336568856940862362210105490989904186027253070503710677 has 145 digits
software ソフトウェア
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
execution environment 実行環境
PPC G5, 2.5 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e6300 / 2318Rich DickersonOctober 25, 2010 23:22:31 UTC 2010 年 10 月 26 日 (火) 8 時 22 分 31 秒 (日本時間)

82×10200+179

c174

name 名前Rich Dickerson
date 日付October 25, 2010 21:27:17 UTC 2010 年 10 月 26 日 (火) 6 時 27 分 17 秒 (日本時間)
composite number 合成数
740187767144944693802855664062043425910233313968541780969222240605145537251671176423734331172929578225014291442689525502192944963957893762504314224846689390651808571323015327<174>
prime factors 素因数
434408623177171774106069137408921<33>
composite cofactor 合成数の残り
1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=231680584
Step 1 took 40639ms
Step 2 took 21584ms
********** Factor found in step 2: 434408623177171774106069137408921
Found probable prime factor of 33 digits: 434408623177171774106069137408921
Composite cofactor 1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287 has 142 digits
software ソフトウェア
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
execution environment 実行環境
PPC G5, 2.5 GHz, Mac OS X

c142

name 名前Eric Jeancolas
date 日付March 23, 2020 06:13:29 UTC 2020 年 3 月 23 日 (月) 15 時 13 分 29 秒 (日本時間)
composite number 合成数
1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287<142>
prime factors 素因数
818219468205738117771620786219280367848419253604210061455598990761<66>
2082445562004330015794122248157223283368910742903749496881828613427881086367<76>
factorization results 素因数分解の結果
1703897500310582349508134188522862477330067908209795821401509648398843937661452821697196807571648429741951087010246706903465973994525476055287=818219468205738117771620786219280367848419253604210061455598990761*2082445562004330015794122248157223283368910742903749496881828613427881086367

Info:Square Root: Factors: 2082445562004330015794122248157223283368910742903749496881828613427881086367 818219468205738117771620786219280367848419253604210061455598990761
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66686/41.440/50.863/57.500/0.945
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66686/41.440/45.714/51.690/1.416
Info:Polynomial Selection (size optimized): Total time: 59971.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 11675
Info:Polynomial Selection (root optimized): Rootsieve time: 11672
Info:Generate Factor Base: Total cpu/real time for makefb: 16.37/2.34923
Info:Generate Free Relations: Total cpu/real time for freerel: 1059.58/107.749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33898852
Info:Lattice Sieving: Average J: 3839.56 for 1028153 special-q, max bucket fill -bkmult 1.0,1s:1.112590
Info:Lattice Sieving: Total time: 1.26948e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 224.09/527.748
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 525.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1645.19/1587.28
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1402.1000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1193.29/1542.05
Info:Filtering - Merging: Total cpu/real time for merge: 1301.5/1168.35
Info:Filtering - Merging: Total cpu/real time for replay: 79/61.1312
Info:Linear Algebra: Total cpu/real time for bwc: 151420/32360.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 19821.34, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 726.3, WCT time 159.64
Info:Linear Algebra: Mksol: WCT time 12007.62, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (32000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 138.83/35.6071
Info:Square Root: Total cpu/real time for sqrt: 12038.7/1594.04
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.51883e+06/255680
Info:root: Cleaning up computation data in /tmp/cado.ibr4aa2d
2082445562004330015794122248157223283368910742903749496881828613427881086367 818219468205738117771620786219280367848419253604210061455598990761
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
351e6118Makoto KamadaMay 13, 2010 21:00:00 UTC 2010 年 5 月 14 日 (金) 6 時 0 分 0 秒 (日本時間)
403e62508300Rich DickersonOctober 25, 2010 21:24:30 UTC 2010 年 10 月 26 日 (火) 6 時 24 分 30 秒 (日本時間)
408KTakahashiDecember 3, 2012 19:16:32 UTC 2012 年 12 月 4 日 (火) 4 時 16 分 32 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:17 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 17 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:07:47 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 47 秒 (日本時間)
4511e61032 / 286832Rich DickersonOctober 26, 2010 15:28:24 UTC 2010 年 10 月 27 日 (水) 0 時 28 分 24 秒 (日本時間)
1000Dmitry DomanovFebruary 17, 2014 08:07:47 UTC 2014 年 2 月 17 日 (月) 17 時 7 分 47 秒 (日本時間)
5043e6300 / 7226Dmitry DomanovSeptember 3, 2014 12:06:05 UTC 2014 年 9 月 3 日 (水) 21 時 6 分 5 秒 (日本時間)

82×10202+179

c156

name 名前ebina
date 日付January 14, 2023 04:20:21 UTC 2023 年 1 月 14 日 (土) 13 時 20 分 21 秒 (日本時間)
composite number 合成数
114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607<156>
prime factors 素因数
1594190401908866193547132219149954929454433444967518992781043453<64>
72113280000925192412013016813564056226061011905400466083232429480381503621864363279038286019<92>
factorization results 素因数分解の結果
Number: 91113_202
N = 114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607 (156 digits)
SNFS difficulty: 204 digits.
Divisors found:
r1=1594190401908866193547132219149954929454433444967518992781043453 (pp64)
r2=72113280000925192412013016813564056226061011905400466083232429480381503621864363279038286019 (pp92)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 68.18 hours.
Factorization parameters were as follows:
n: 114962298827641535160948603513622447484652893331026250838749783892918010469519027624858609677296531810450117500479874117628062241081105247617038279481383607
m: 10000000000000000000000000000000000000000
deg: 5
c5: 8200
c0: 17
skew: 0.29
# Murphy_E = 9.353e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39112187
Relations: 6093754 relations
Pruned matrix : 3631154 x 3631385
Total sieving time: 61.72 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 5.93 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 68.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 20:01:15 UTC 2014 年 1 月 7 日 (火) 5 時 1 分 15 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:18 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 18 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:03 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 3 秒 (日本時間)
4511e659801500Dmitry DomanovFebruary 17, 2014 08:08:03 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 3 秒 (日本時間)
4480Ignacio SantosDecember 10, 2021 07:10:16 UTC 2021 年 12 月 10 日 (金) 16 時 10 分 16 秒 (日本時間)
5043e6200 / 6132Dmitry DomanovSeptember 4, 2014 11:43:05 UTC 2014 年 9 月 4 日 (木) 20 時 43 分 5 秒 (日本時間)

82×10204+179

c175

composite cofactor 合成数の残り
2439381456634102831394523200626033084609115678902055989040734412934468789702422089401874105834484582911912241545212166860386674359316477465773551680053404427860242496767058437<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 00:25:18 UTC 2014 年 1 月 2 日 (木) 9 時 25 分 18 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:19 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 19 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:16 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 16 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovMarch 17, 2014 10:04:44 UTC 2014 年 3 月 17 日 (月) 19 時 4 分 44 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 4, 2014 11:43:27 UTC 2014 年 9 月 4 日 (木) 20 時 43 分 27 秒 (日本時間)

82×10206+179

c188

name 名前Bob Backstrom
date 日付August 16, 2021 02:41:11 UTC 2021 年 8 月 16 日 (月) 11 時 41 分 11 秒 (日本時間)
composite number 合成数
26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169<188>
prime factors 素因数
35027325473995492759631559686083412055639436917851<50>
759609949720278146727162357882342344291660647898819205734285567254543881161977827319006553794269724515048068882833921555115797948630197019<138>
factorization results 素因数分解の結果
Number: n
N=26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169
  ( 188 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Aug 16 12:31:55 2021  p50 factor: 35027325473995492759631559686083412055639436917851
Mon Aug 16 12:31:55 2021  p138 factor: 759609949720278146727162357882342344291660647898819205734285567254543881161977827319006553794269724515048068882833921555115797948630197019
Mon Aug 16 12:31:55 2021  elapsed time 02:27:21 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 82x10^206+17 = 91(205)3
#
n: 26607104942137534158592195631182917290573065838142810680939295358813922679139808836264961842985029803693044352179213307442331154172577504091057269590404084891812563864080225654216248086169
m: 100000000000000000000000000000000000000000
deg: 5
c5: 820
c0: 17
skew: 0.46
# Murphy_E = 7.133e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9826370 hash collisions in 63228246 relations (55656950 unique)
Msieve: matrix is 2446599 x 2446828 (849.3 MB)

Sieving start time : 2021/08/15 18:35:56
Sieving end time  : 2021/08/16 10:02:59

Total sieving time: 15hrs 27min 3secs.

Total relation processing time: 1hrs 54min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 37sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 6, 2014 17:01:42 UTC 2014 年 1 月 7 日 (火) 2 時 1 分 42 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:19 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 19 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:25 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 25 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 10:04:27 UTC 2014 年 3 月 17 日 (月) 19 時 4 分 27 秒 (日本時間)

82×10207+179

c181

composite cofactor 合成数の残り
1200597654395998489256417709830911340127329051385830552418373067983818232809720391677609512041346633640998497356508361201362441340885727421493110677991992561748254971871529347260569<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 12:44:16 UTC 2014 年 1 月 1 日 (水) 21 時 44 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:20 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 20 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:33 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 33 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 10:04:15 UTC 2014 年 3 月 17 日 (月) 19 時 4 分 15 秒 (日本時間)

82×10208+179

c191

name 名前Cyp
date 日付January 4, 2014 23:15:14 UTC 2014 年 1 月 5 日 (日) 8 時 15 分 14 秒 (日本時間)
composite number 合成数
55266616814990347606605016536015365023568930814411822187362255854620850096605877790244539216434375053673351279231695641022184282257448010233885715041942550998145033393709812383708969697658697<191>
prime factors 素因数
3214977849447235591740444735930604981<37>
composite cofactor 合成数の残り
17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437<155>
factorization results 素因数分解の結果
Run 288 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2961982489
Step 1 took 15890ms
Step 2 took 5726ms
********** Factor found in step 2: 3214977849447235591740444735930604981
Found probable prime factor of 37 digits: 3214977849447235591740444735930604981
Composite cofactor 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437 has 155 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

c155

name 名前Bob Backstrom
date 日付October 11, 2021 21:16:55 UTC 2021 年 10 月 12 日 (火) 6 時 16 分 55 秒 (日本時間)
composite number 合成数
17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437<155>
prime factors 素因数
28404016788715950334237986597690016654462211<44>
605208660339438260417409149413939146805293097785913003483567959254667647400025825541229835198561422241431081367<111>
factorization results 素因数分解の結果
#
# N = 82x10^208+17 = 91(207)3
#
n: 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437
m: 100000000000000000000000000000000000000000
deg: 5
c5: 82000
c0: 17
skew: 0.18
# Murphy_E = 4.743e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 17190356948957693470039350293303266778552822149005164531509144449475110498095531104582493698801666759964689810166266539491323283588038166571093187567722437 (155 digits)
Using B1=43820000, B2=240491351116, polynomial Dickson(12), sigma=1:4092512755
Step 1 took 102662ms
Step 2 took 34558ms
********** Factor found in step 2: 28404016788715950334237986597690016654462211
Found prime factor of 44 digits: 28404016788715950334237986597690016654462211
Prime cofactor 605208660339438260417409149413939146805293097785913003483567959254667647400025825541229835198561422241431081367 has 111 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 23:15:13 UTC 2014 年 1 月 5 日 (日) 8 時 15 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:21 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 21 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:08:45 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 45 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovFebruary 17, 2014 08:08:45 UTC 2014 年 2 月 17 日 (月) 17 時 8 分 45 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 4, 2014 11:43:48 UTC 2014 年 9 月 4 日 (木) 20 時 43 分 48 秒 (日本時間)

82×10210+179

c210

name 名前Serge Batalov
date 日付December 4, 2013 05:18:51 UTC 2013 年 12 月 4 日 (水) 14 時 18 分 51 秒 (日本時間)
composite number 合成数
828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828283<210>
prime factors 素因数
299599063243074939525063551<27>
composite cofactor 合成数の残り
2764637577023444065259279322679495132897295795067458755073051553745821152227590301189789938195009935386185913362316820047840085802550401244985444662758069878788675993945895108644576133<184>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2455480549
Step 1 took 68420ms
Step 2 took 34731ms
********** Factor found in step 2: 299599063243074939525063551
Found probable prime factor of 27 digits: 299599063243074939525063551
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62010210Serge BatalovDecember 4, 2013 17:31:57 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:21 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 21 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:09:00 UTC 2014 年 2 月 17 日 (月) 17 時 9 分 0 秒 (日本時間)
4511e61560 / 403160Serge BatalovDecember 4, 2013 17:31:57 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 57 秒 (日本時間)
1500Dmitry DomanovMarch 17, 2014 10:03:55 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 55 秒 (日本時間)

82×10211+179

c183

composite cofactor 合成数の残り
138746582317773409469984344313297376464031078436871272176300053373983742465202825535859005588421223245138350730892441328353755088530913089257289550028979954477215017167825399480200521<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:25 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 25 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:10:22 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 22 秒 (日本時間)
4511e61500 / 3681Dmitry DomanovMarch 17, 2014 10:03:43 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 43 秒 (日本時間)
5043e6197 / 7200CypFebruary 9, 2014 21:03:39 UTC 2014 年 2 月 10 日 (月) 6 時 3 分 39 秒 (日本時間)

82×10212+179

c186

name 名前Cyp
date 日付January 3, 2014 10:20:02 UTC 2014 年 1 月 3 日 (金) 19 時 20 分 2 秒 (日本時間)
composite number 合成数
145307671739651476927830705273480326269356487101530071295445865009563180191539967100994887832103547830884290066029849890978728937171814722382536744490685637962881265355997189518946746873<186>
prime factors 素因数
10247120023266321159777443443<29>
composite cofactor 合成数の残り
14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011<158>
factorization results 素因数分解の結果
Run 80 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4104633162
Step 1 took 16190ms
Step 2 took 5655ms
********** Factor found in step 2: 10247120023266321159777443443
Found probable prime factor of 29 digits: 10247120023266321159777443443
Composite cofactor 14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011 has 158 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

c158

name 名前Dmitry Domanov
date 日付February 6, 2014 09:43:40 UTC 2014 年 2 月 6 日 (木) 18 時 43 分 40 秒 (日本時間)
composite number 合成数
14180342516700016568425214560069135480231668984005699746387790252384894378202597251760855709518726165948236801078449004586239866855736886137969860554953783011<158>
prime factors 素因数
28313219691219919427671373511873723889<38>
composite cofactor 合成数の残り
500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3957107082
Step 1 took 19530ms
Step 2 took 7927ms
********** Factor found in step 2: 28313219691219919427671373511873723889
Found probable prime factor of 38 digits: 28313219691219919427671373511873723889
Composite cofactor 500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099 has 120 digits

c120

name 名前Dmitry Domanov
date 日付February 8, 2014 07:28:17 UTC 2014 年 2 月 8 日 (土) 16 時 28 分 17 秒 (日本時間)
composite number 合成数
500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099<120>
prime factors 素因数
2993437678029177448652911831757835498096706782006544822321<58>
167312058108754111656667010540474476295193823483976597345478019<63>
factorization results 素因数分解の結果
N=500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099
  ( 120 digits)
Divisors found:
 r1=2993437678029177448652911831757835498096706782006544822321 (pp58)
 r2=167312058108754111656667010540474476295193823483976597345478019 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 41.15 hours.
Scaled time: 34.32 units (timescale=0.834).
Factorization parameters were as follows:
n: 500838218731351718454967203024088097957676909763992008938653989078336318389697920986997576790468647489373171887166062099
skew: 600564.57
c0: -619390764362070614599264931535
c1: 39577707680193865859073215
c2: -40023407900928832449
c3: -212678676298405
c4: 88464766
c5: 240
Y0: -291002749739973392612492
Y1: 1375907271167
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2500000, 4100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 703837 x 704064
Total sieving time: 39.91 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,54,54,2.5,2.5,100000
total time: 41.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6590 / 1525290CypJanuary 3, 2014 10:20:00 UTC 2014 年 1 月 3 日 (金) 19 時 20 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:23 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 23 秒 (日本時間)
4511e6230 / 4345Ignacio SantosFebruary 6, 2014 17:03:33 UTC 2014 年 2 月 7 日 (金) 2 時 3 分 33 秒 (日本時間)

82×10214+179

c170

name 名前Dmitry Domanov
date 日付March 18, 2014 05:36:04 UTC 2014 年 3 月 18 日 (火) 14 時 36 分 4 秒 (日本時間)
composite number 合成数
14325839345029248417295921350337306461922822544408734771750001494528902417073070606392079969195403022883463411846561281311171297030072786566398131465417306490527079145089<170>
prime factors 素因数
28283560685704864000365338679620787567151<41>
composite cofactor 合成数の残り
506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1102289318
Step 1 took 57311ms
Step 2 took 26866ms
********** Factor found in step 2: 28283560685704864000365338679620787567151
Found probable prime factor of 41 digits: 28283560685704864000365338679620787567151

c129

name 名前Jo Yeong Uk
date 日付March 29, 2014 08:07:38 UTC 2014 年 3 月 29 日 (土) 17 時 7 分 38 秒 (日本時間)
composite number 合成数
506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239<129>
prime factors 素因数
126466449793602300425538720305443078910723018638317109973<57>
4005075122621360894660526135877737261776259764350189478424098414656093843<73>
factorization results 素因数分解の結果
Number: 91113_214
N=506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239
  ( 129 digits)
Divisors found:
 r1=126466449793602300425538720305443078910723018638317109973
 r2=4005075122621360894660526135877737261776259764350189478424098414656093843
Version: 
Total time: 59.83 hours.
Scaled time: 311.59 units (timescale=5.208).
Factorization parameters were as follows:
name: 91113_214
n: 506507631914599914584588378416259626788616946789144191862583155632960102022179980469103587281154329170004709269586982556839196239
skew: 21918.62
# norm 1.31e+17
c5: 904440
c4: 415775232688
c3: -2514592792913432
c2: -180153466990569993377
c1: 182334207693774332942442
c0: 4349066166988235172041941512
# alpha -5.34
Y1: 162865775453183
Y0: -3545189155162198478593867
# Murphy_E 9.25e-11
# M 39779048598158534465528462206504083078124457490717168068984709077063240463015044785459280608764543021785042201343177437445746617
type: gnfs
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4200000, 9300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20470146
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1465568 x 1465816
Polynomial selection time: 9.10 hours.
Total sieving time: 45.30 hours.
Total relation processing time: 2.52 hours.
Matrix solve time: 2.55 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,55,55,2.6,2.6,100000
total time: 59.83 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 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
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:26 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 26 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:23 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 23 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:09:21 UTC 2014 年 2 月 17 日 (月) 17 時 9 分 21 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovMarch 17, 2014 10:03:26 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 26 秒 (日本時間)

82×10215+179

c172

composite cofactor 合成数の残り
7424666747374476019496985890320059324590051666326552946195523249114385414451521968352054591849762647313993141012717584165121104019300535507770136466146948724554330170423871<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 06:17:43 UTC 2014 年 1 月 1 日 (水) 15 時 17 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:24 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 24 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:09:30 UTC 2014 年 2 月 17 日 (月) 17 時 9 分 30 秒 (日本時間)
4511e61500 / 3175Dmitry DomanovMarch 17, 2014 10:03:13 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 13 秒 (日本時間)
5043e6239 / 713739CypJanuary 11, 2014 23:54:18 UTC 2014 年 1 月 12 日 (日) 8 時 54 分 18 秒 (日本時間)
200Dmitry DomanovSeptember 4, 2014 11:44:07 UTC 2014 年 9 月 4 日 (木) 20 時 44 分 7 秒 (日本時間)

82×10216+179

c157

composite cofactor 合成数の残り
2677655212168781556332744515987808021458414475584530914719588555571251259860881816635785095343904783985706943044334742003461297398435064952171036611955469039<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 09:41:02 UTC 2014 年 1 月 1 日 (水) 18 時 41 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:25 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:09:38 UTC 2014 年 2 月 17 日 (月) 17 時 9 分 38 秒 (日本時間)
4511e61500 / 3311Dmitry DomanovMarch 17, 2014 10:03:00 UTC 2014 年 3 月 17 日 (月) 19 時 3 分 0 秒 (日本時間)
5043e6200 / 7137Dmitry DomanovSeptember 4, 2014 11:44:22 UTC 2014 年 9 月 4 日 (木) 20 時 44 分 22 秒 (日本時間)

82×10217+179

c196

composite cofactor 合成数の残り
2875880217580305916253543219985459579480801556884481004077882327065000535376817202522350380885814273399415502503794090980219375717580030651340683386481425360836772103413170484355491786270371006097<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 23:45:07 UTC 2014 年 1 月 3 日 (金) 8 時 45 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:25 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 25 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:20:33 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 33 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 14, 2014 12:20:33 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 33 秒 (日本時間)

82×10218+179

c201

composite cofactor 合成数の残り
200913951888736292850480629461876537918479800544211191591829666150508479429105895823303095112294161487802660883908859945379000936330704517134096200543641612283909828090616262345464691755424327904542907<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 18:12:27 UTC 2014 年 1 月 5 日 (日) 3 時 12 分 27 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:27 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:20:18 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 18 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 14, 2014 12:20:18 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 18 秒 (日本時間)

82×10219+179

c176

name 名前Dmitry Domanov
date 日付February 6, 2014 09:44:44 UTC 2014 年 2 月 6 日 (木) 18 時 44 分 44 秒 (日本時間)
composite number 合成数
63393002576412580529432706453103489145127488368513495978293738510222709411032063823165593029441195405860611422976893216229547117625286276369368803959168932711535458006722914061<176>
prime factors 素因数
1425161783857586745265877795882455853849<40>
44481267526569673027796198052736620176236853227417522827551171521980116285750379067669295173076103126791349893733738352599059409179053589<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3591500481
Step 1 took 22904ms
Step 2 took 8934ms
********** Factor found in step 2: 1425161783857586745265877795882455853849
Found probable prime factor of 40 digits: 1425161783857586745265877795882455853849

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:27 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 27 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 05:10:28 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 28 秒 (日本時間)

82×10220+179

c194

name 名前Erik Branger
date 日付January 25, 2019 08:28:27 UTC 2019 年 1 月 25 日 (金) 17 時 28 分 27 秒 (日本時間)
composite number 合成数
39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231<194>
prime factors 素因数
10211695043515373025792521100331816258454144719<47>
9642436412203318612694697805486352523658535115533461614643<58>
404572841940902510677494833087648307674756890877696106633397603333846484776899332150479843<90>
factorization results 素因数分解の結果
Number: 91113_220
N = 39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231 (194 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=10211695043515373025792521100331816258454144719 (pp47)
r2=9642436412203318612694697805486352523658535115533461614643 (pp58)
r3=404572841940902510677494833087648307674756890877696106633397603333846484776899332150479843 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 113.41 hours.
Factorization parameters were as follows:
n: 39836515764575661316803705870500196156607770660378447987282268507788431904085227041745481956982014917485971680386712223001768857885155796115811846152904726686526930929818998211696677608253470231
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 82
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 9857650 relations
Pruned matrix : 8391982 x 8392207
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 48.13 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 63.99 hours.
time per square root: 0.87 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 113.41 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 06:00:12 UTC 2014 年 1 月 5 日 (日) 15 時 0 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:29 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 29 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:20:02 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 2 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovFebruary 14, 2014 12:20:02 UTC 2014 年 2 月 14 日 (金) 21 時 20 分 2 秒 (日本時間)

82×10221+179

c188

name 名前Erik Branger
date 日付July 14, 2020 11:36:36 UTC 2020 年 7 月 14 日 (火) 20 時 36 分 36 秒 (日本時間)
composite number 合成数
13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551<188>
prime factors 素因数
42838229989265240820236795067270978141169509006756049<53>
15144386150018202642419413643877163584634130197731704504371<59>
20756342478508556557004101731991670822411229967991007213549665183011403438869<77>
factorization results 素因数分解の結果
Number: 91113_221
N = 13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551 (188 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=42838229989265240820236795067270978141169509006756049 (pp53)
r2=15144386150018202642419413643877163584634130197731704504371 (pp59)
r3=20756342478508556557004101731991670822411229967991007213549665183011403438869 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.03 hours.
Factorization parameters were as follows:
n: 13465857699612586504523202186070930362517734111342835874994691080711666266556420982227148882450921255795390982397812564140765863289859405902335440196709106422062832986510074146632919667551
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 820
c0: 17
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7989570 relations
Pruned matrix : 6893063 x 6893288
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.20 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 34.98 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 72.03 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 09:24:19 UTC 2014 年 1 月 2 日 (木) 18 時 24 分 19 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:30 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:03 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 3 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMarch 17, 2014 10:02:31 UTC 2014 年 3 月 17 日 (月) 19 時 2 分 31 秒 (日本時間)
5043e639 / 7137CypFebruary 2, 2014 13:22:30 UTC 2014 年 2 月 2 日 (日) 22 時 22 分 30 秒 (日本時間)

82×10222+179

c188

name 名前Erik Branger
date 日付July 25, 2020 17:29:34 UTC 2020 年 7 月 26 日 (日) 2 時 29 分 34 秒 (日本時間)
composite number 合成数
10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853<188>
prime factors 素因数
24899688247206910704122774060005353813870960602341097<53>
1310492753225399685435536232448382113068717403486285771<55>
306576312568060532373766549227905890585239458737201938522901374822414855949683719<81>
factorization results 素因数分解の結果
Number: 91113_222
N = 10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853 (188 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=24899688247206910704122774060005353813870960602341097 (pp53)
r2=1310492753225399685435536232448382113068717403486285771 (pp55)
r3=306576312568060532373766549227905890585239458737201938522901374822414855949683719 (pp81)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 115.91 hours.
Factorization parameters were as follows:
n: 10003849042998238042504204041956418794543567288307867574535797438093208873999475671957189249832769715654772116476210848041448620190185386549734747717873687648403361252681624815320865056853
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8200
c0: 17
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 10418520 relations
Pruned matrix : 8838179 x 8838404
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 51.12 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 63.32 hours.
time per square root: 1.06 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 115.91 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-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
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:27 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 27 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:30 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:12 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 12 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovMarch 17, 2014 10:02:18 UTC 2014 年 3 月 17 日 (月) 19 時 2 分 18 秒 (日本時間)
5043e647 / 7143CypJanuary 11, 2014 08:58:59 UTC 2014 年 1 月 11 日 (土) 17 時 58 分 59 秒 (日本時間)

82×10224+179

c222

name 名前Serge Batalov
date 日付January 5, 2014 02:55:25 UTC 2014 年 1 月 5 日 (日) 11 時 55 分 25 秒 (日本時間)
composite number 合成数
684531263043659737874613907671758911428332915936221721345688287837048167626680023374238250271308122547791969279572585357709324651473411803990316387010601886634944486184155605643208948994072961015109775440353952750646965523<222>
prime factors 素因数
37755854380033738774846649062407679822021<41>
composite cofactor 合成数の残り
18130466765590063655143936669917624824710825003957855388563122155056169841358837296609232086307737343576186960455069184029844032051508135979879404275750352052156344461771227427894263<182>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1771707250
Step 1 took 288625ms
Step 2 took 162337ms
********** Factor found in step 2: 37755854380033738774846649062407679822021
Found probable prime factor of 41 digits: 37755854380033738774846649062407679822021
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:17 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 17 秒 (日本時間)
4511e6560 / 267560Serge BatalovDecember 4, 2013 17:32:17 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 17 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:33 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 33 秒 (日本時間)
5043e6500 / 7419Serge BatalovJanuary 4, 2014 23:01:29 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 29 秒 (日本時間)

82×10227+179

c207

composite cofactor 合成数の残り
155272603535706263231781416930436739431285078406361202499642054720328152519241388725430115802704094317853791814718761180294877356629229414253391633584989952580448921513181051679851099309762987184640387460787<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:28 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 28 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:31 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 31 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:19:40 UTC 2014 年 2 月 14 日 (金) 21 時 19 分 40 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovFebruary 14, 2014 12:19:40 UTC 2014 年 2 月 14 日 (金) 21 時 19 分 40 秒 (日本時間)
5043e647 / 7143CypJanuary 12, 2014 14:00:45 UTC 2014 年 1 月 12 日 (日) 23 時 0 分 45 秒 (日本時間)

82×10228+179

c182

composite cofactor 合成数の残り
41051413806200675507995477759559745346191498743541563159691583262559619952249920520750405241206440985231163951925209740866739727533804640444396485816283885230036686745128795283680507<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 04:14:11 UTC 2014 年 1 月 3 日 (金) 13 時 14 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:32 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 32 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:32 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 32 秒 (日本時間)
4511e61504 / 31714CypJanuary 7, 2014 07:14:43 UTC 2014 年 1 月 7 日 (火) 16 時 14 分 43 秒 (日本時間)
1500Dmitry DomanovMarch 17, 2014 10:01:53 UTC 2014 年 3 月 17 日 (月) 19 時 1 分 53 秒 (日本時間)
5043e6240 / 7136Dmitry DomanovNovember 22, 2014 00:41:13 UTC 2014 年 11 月 22 日 (土) 9 時 41 分 13 秒 (日本時間)

82×10229+179

c173

name 名前Dmitry Domanov
date 日付March 18, 2014 05:35:26 UTC 2014 年 3 月 18 日 (火) 14 時 35 分 26 秒 (日本時間)
composite number 合成数
25606848990912006092022536634665100341428248029155257288603942392861004693432648218394285995872357495941282320123547416568031042135438153784385818776505503689777773481314161<173>
prime factors 素因数
2036460737948522000584114776702730997655889<43>
12574192329731672124890085706828777393065261377395571813861339793711289738857132407533375833269572693601907503622351388424664380449<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1098591702
Step 1 took 97098ms
Step 2 took 30374ms
********** Factor found in step 2: 2036460737948522000584114776702730997655889
Found probable prime factor of 43 digits: 2036460737948522000584114776702730997655889

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 10:11:58 UTC 2014 年 1 月 5 日 (日) 19 時 11 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:33 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:41 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 41 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovMarch 17, 2014 10:01:34 UTC 2014 年 3 月 17 日 (月) 19 時 1 分 34 秒 (日本時間)
5043e639 / 7137CypJanuary 12, 2014 00:03:03 UTC 2014 年 1 月 12 日 (日) 9 時 3 分 3 秒 (日本時間)

82×10231+179

c193

composite cofactor 合成数の残り
2925505068008071460895492762368336334835985398711700574935384162738581756358227377265372674113423263118233481525235670818452630565838483554055971209593067227865971534599464605046689914599577577<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 13:09:29 UTC 2014 年 1 月 4 日 (土) 22 時 9 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:33 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:11:59 UTC 2014 年 2 月 14 日 (金) 21 時 11 分 59 秒 (日本時間)
4511e61500 / 3876Dmitry DomanovFebruary 14, 2014 12:11:59 UTC 2014 年 2 月 14 日 (金) 21 時 11 分 59 秒 (日本時間)
5043e639 / 7137CypJanuary 13, 2014 01:36:09 UTC 2014 年 1 月 13 日 (月) 10 時 36 分 9 秒 (日本時間)

82×10232+179

c208

name 名前Cyp
date 日付January 1, 2014 19:28:21 UTC 2014 年 1 月 2 日 (木) 4 時 28 分 21 秒 (日本時間)
composite number 合成数
1518495458962058413365330464358572361881800939520835409477804408043195918822799575706472502760157455924487923291281799518121857247266562117782554192916389494252368837991636464843541278693652535337211288338267<208>
prime factors 素因数
19913593876326491736102078856031<32>
composite cofactor 合成数の残り
76254214502549597064369332978505057969241671958598737426940355277694348553230752342512187607078273934926467923251841075759001790518233719503472534228928034395856336032698759557<176>
factorization results 素因数分解の結果
Run 93 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3540152180
Step 1 took 18563ms
Step 2 took 6321ms
********** Factor found in step 2: 19913593876326491736102078856031
Found probable prime factor of 32 digits: 19913593876326491736102078856031
Composite cofactor 76254214502549597064369332978505057969241671958598737426940355277694348553230752342512187607078273934926467923251841075759001790518233719503472534228928034395856336032698759557 has 176 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

c176

name 名前Dmitry Domanov
date 日付March 19, 2014 05:31:50 UTC 2014 年 3 月 19 日 (水) 14 時 31 分 50 秒 (日本時間)
composite number 合成数
76254214502549597064369332978505057969241671958598737426940355277694348553230752342512187607078273934926467923251841075759001790518233719503472534228928034395856336032698759557<176>
prime factors 素因数
9008757276331807487050830534559858597<37>
8464454326335101909908706053556706881537664364213611846356230433350370941054456475544324985887311331533303373513062416964158244553541315681<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4062588996
Step 1 took 92885ms
Step 2 took 31606ms
********** Factor found in step 2: 9008757276331807487050830534559858597
Found probable prime factor of 37 digits: 9008757276331807487050830534559858597

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 19:28:20 UTC 2014 年 1 月 2 日 (木) 4 時 28 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:34 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 34 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:10:56 UTC 2014 年 2 月 17 日 (月) 17 時 10 分 56 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 10:01:13 UTC 2014 年 3 月 17 日 (月) 19 時 1 分 13 秒 (日本時間)

82×10233+179

c191

composite cofactor 合成数の残り
63625170882865674202717024409392689994749270304318104590641324802383067647845518451433868399674650307078554361894937720073308216414932009737585577509008392598315204112825018236426989138694083<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:29 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 29 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:35 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:11:04 UTC 2014 年 2 月 17 日 (月) 17 時 11 分 4 秒 (日本時間)
4511e61500 / 3875Dmitry DomanovMarch 17, 2014 10:00:57 UTC 2014 年 3 月 17 日 (月) 19 時 0 分 57 秒 (日本時間)
5043e647 / 7143CypJanuary 30, 2014 23:38:35 UTC 2014 年 1 月 31 日 (金) 8 時 38 分 35 秒 (日本時間)

82×10234+179

c196

name 名前Serge Batalov
date 日付January 6, 2014 22:10:57 UTC 2014 年 1 月 7 日 (火) 7 時 10 分 57 秒 (日本時間)
composite number 合成数
8094751113421565149334069470185769461651427908496686125464614734565079540570068521761842706492377296650005849531443793314390510602716363925997428039103443352221694033366424582282405601812678007529<196>
prime factors 素因数
3267981838773568499354861634297127<34>
2476987790256331718788812981723745492142712429988225558935144877731282985290122383629522352779878517010926362895311261882084607379688753474098612024391851000361327<163>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1348334217
Step 1 took 5807ms
Step 2 took 3939ms
********** Factor found in step 2: 3267981838773568499354861634297127
Found probable prime factor of 34 digits: 3267981838773568499354861634297127
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:30 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 30 秒 (日本時間)

82×10235+179

c198

name 名前Serge Batalov
date 日付January 9, 2014 08:33:13 UTC 2014 年 1 月 9 日 (木) 17 時 33 分 13 秒 (日本時間)
composite number 合成数
550631946023081058170632049554385292693851711434686277354057315900220666448874049151399672668509231913012809793074784167318222380867435994885359770351856520302938832802277758753358006611353385450873<198>
prime factors 素因数
2387248115296452178856613552223042219171<40>
composite cofactor 合成数の残り
230655516070939583867303783146622304112670008849922296797127735261356020721435972861424310865136025871815568760423101958781061370185662203620691968706139706163<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4160673270
Step 1 took 17527ms
Step 2 took 6811ms
********** Factor found in step 2: 2387248115296452178856613552223042219171
Found probable prime factor of 40 digits: 2387248115296452178856613552223042219171
Composite cofactor

c159

name 名前Serge Batalov
date 日付January 9, 2014 17:17:36 UTC 2014 年 1 月 10 日 (金) 2 時 17 分 36 秒 (日本時間)
composite number 合成数
230655516070939583867303783146622304112670008849922296797127735261356020721435972861424310865136025871815568760423101958781061370185662203620691968706139706163<159>
prime factors 素因数
6739570388414422398606534272641154479243<40>
composite cofactor 合成数の残り
34224068119749172870726891427962297261100287964912229876563735158294501126275614490386472703927856797267017951456520441<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2277796290
Step 1 took 18583ms
Step 2 took 7214ms
********** Factor found in step 2: 6739570388414422398606534272641154479243
Found probable prime factor of 40 digits: 6739570388414422398606534272641154479243
Composite cofactor 

c119

name 名前Dmitry Domanov
date 日付January 13, 2014 11:48:23 UTC 2014 年 1 月 13 日 (月) 20 時 48 分 23 秒 (日本時間)
composite number 合成数
34224068119749172870726891427962297261100287964912229876563735158294501126275614490386472703927856797267017951456520441<119>
prime factors 素因数
78317182035023812272466768014134500059359231071208288190041<59>
436993099476485359116969662297858584986709383448139186154401<60>
factorization results 素因数分解の結果
N=34224068119749172870726891427962297261100287964912229876563735158294501126275614490386472703927856797267017951456520441
  ( 119 digits)
Divisors found:
 r1=78317182035023812272466768014134500059359231071208288190041 (pp59)
 r2=436993099476485359116969662297858584986709383448139186154401 (pp60)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 42.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 34224068119749172870726891427962297261100287964912229876563735158294501126275614490386472703927856797267017951456520441
skew: 92809.08
c0: 21218459437865305380384663615
c1: 24133119710149600324077
c2: -16475293734589226225
c3: -341530905238597
c4: 2097396474
c5: 15984
Y0: -73473224379103011912802
Y1: 856336625717
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 4450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 543564 x 543796
Total sieving time: 41.84 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 42.31 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6590 / 2318290CypJanuary 3, 2014 04:06:52 UTC 2014 年 1 月 3 日 (金) 13 時 6 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:36 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 36 秒 (日本時間)

82×10237+179

c223

composite cofactor 合成数の残り
1312213149488934301004836861057761043427663212331600535805772856689420935941017329820851763791169434316379119550144908312055832113392533718977147311582888916425778680789995549888888925592483177310777058656159075442266046703<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 3, 2014 20:47:44 UTC 2014 年 1 月 4 日 (土) 5 時 47 分 44 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:37 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 37 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:11:12 UTC 2014 年 2 月 17 日 (月) 17 時 11 分 12 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 10:00:42 UTC 2014 年 3 月 17 日 (月) 19 時 0 分 42 秒 (日本時間)

82×10238+179

c220

composite cofactor 合成数の残り
1317520321292053093672064101424148558745789914943547711484460191943291661140221813807053758666972145996870656593059912881346766127428512675165420179046279941705601049084880849644567365101859338134911908648218672572515433<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:31 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 31 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:10:38 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:11:24 UTC 2014 年 2 月 17 日 (月) 17 時 11 分 24 秒 (日本時間)
4511e61500 / 4040Dmitry DomanovMarch 17, 2014 10:00:29 UTC 2014 年 3 月 17 日 (月) 19 時 0 分 29 秒 (日本時間)

82×10239+179

c235

composite cofactor 合成数の残り
5202395385855955822781035619278554647674116877522289409255315166822421309011500465995050111121896564959836873182730331297420309770923304637681711105908715725255155288330075491832556463436994233588821701855795944288689802099610645116061<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:32 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 32 秒 (日本時間)
4511e6136060Serge BatalovDecember 4, 2013 17:32:32 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 32 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:48 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 48 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:50 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 50 秒 (日本時間)
5043e6500 / 6757Serge BatalovJanuary 4, 2014 23:01:45 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 45 秒 (日本時間)
5511e7200 / 17504Dmitry DomanovMay 13, 2014 09:06:45 UTC 2014 年 5 月 13 日 (火) 18 時 6 分 45 秒 (日本時間)

82×10240+179

c194

name 名前Cyp
date 日付January 6, 2014 20:23:02 UTC 2014 年 1 月 7 日 (火) 5 時 23 分 2 秒 (日本時間)
composite number 合成数
61160889593567900402753524529873264851884165233748893091575115960471849323466827859212261635485619643687235770407929023651473232589174082837776561125464131905609982250258927519032845902015129157<194>
prime factors 素因数
5226891817734732798598461069923<31>
composite cofactor 合成数の残り
11701196758281910957253281848079766951531511095393563506467827459260359439058742127055699140748615073690266027004571488739671913788300084125272619988248766321051959<164>
factorization results 素因数分解の結果
Run 41 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=916119622
Step 1 took 18812ms
Step 2 took 6079ms
********** Factor found in step 2: 5226891817734732798598461069923
Found probable prime factor of 31 digits: 5226891817734732798598461069923
Composite cofactor 11701196758281910957253281848079766951531511095393563506467827459260359439058742127055699140748615073690266027004571488739671913788300084125272619988248766321051959 has 164 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6592290CypJanuary 6, 2014 20:23:01 UTC 2014 年 1 月 7 日 (火) 5 時 23 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:39 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 39 秒 (日本時間)
2KTakahashiFebruary 11, 2014 11:00:19 UTC 2014 年 2 月 11 日 (火) 20 時 0 分 19 秒 (日本時間)
4511e6460230Ignacio SantosFebruary 8, 2014 17:39:33 UTC 2014 年 2 月 9 日 (日) 2 時 39 分 33 秒 (日本時間)
230Ignacio SantosFebruary 8, 2014 21:46:17 UTC 2014 年 2 月 9 日 (日) 6 時 46 分 17 秒 (日本時間)
5043e61200 / 7408Erik BrangerFebruary 27, 2014 12:13:44 UTC 2014 年 2 月 27 日 (木) 21 時 13 分 44 秒 (日本時間)
5511e78 / 17308KTakahashiFebruary 11, 2014 10:57:54 UTC 2014 年 2 月 11 日 (火) 19 時 57 分 54 秒 (日本時間)

82×10242+179

c220

name 名前Dmitry Domanov
date 日付February 6, 2014 09:44:12 UTC 2014 年 2 月 6 日 (木) 18 時 44 分 12 秒 (日本時間)
composite number 合成数
1972889238425390627979869349385929542679208112995225917551856955931087855216465910890026497270001965833433382307103365527225385868670183771205626790220267627655105040943398342088315831141633459324262587783676743772208423<220>
prime factors 素因数
3428849822046086265725508084015649243<37>
575379308169325108543823191131363666150132016503222138683522954398026972303918993224635416285002941209125052368070045185783147980932987726050232613940158770393827807187625623241892261<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3129682457
Step 1 took 30435ms
Step 2 took 11078ms
********** Factor found in step 2: 3428849822046086265725508084015649243
Found probable prime factor of 37 digits: 3428849822046086265725508084015649243

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:27:32 UTC 2014 年 1 月 7 日 (火) 5 時 27 分 32 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 05:10:39 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 39 秒 (日本時間)

82×10243+179

c218

composite cofactor 合成数の残り
47933394718767001823243197695252812744809881663375637938702764776369233788673186845438161064525310492931235570591769008017757289995202686187867592121307714165376584283127103299927282779990010587831443916320376745977489<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 16:08:04 UTC 2014 年 1 月 5 日 (日) 1 時 8 分 4 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:40 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 17, 2014 08:12:00 UTC 2014 年 2 月 17 日 (月) 17 時 12 分 0 秒 (日本時間)
4511e61500 / 4013Dmitry DomanovMarch 17, 2014 09:59:46 UTC 2014 年 3 月 17 日 (月) 18 時 59 分 46 秒 (日本時間)

82×10244+179

c205

composite cofactor 合成数の残り
1937821583511593448490733203450125976195416689318724022321540303433020036304102364192724485135463617389434993799412408934514345923957059949197684809688594666156241263470767616712080818224350949758412455783<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 22:05:56 UTC 2014 年 1 月 3 日 (金) 7 時 5 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:41 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 41 秒 (日本時間)
1500Dmitry DomanovFebruary 13, 2014 10:51:17 UTC 2014 年 2 月 13 日 (木) 19 時 51 分 17 秒 (日本時間)
4511e61500 / 3350Dmitry DomanovFebruary 14, 2014 12:11:16 UTC 2014 年 2 月 14 日 (金) 21 時 11 分 16 秒 (日本時間)
5043e6189 / 7137CypFebruary 14, 2014 03:12:09 UTC 2014 年 2 月 14 日 (金) 12 時 12 分 9 秒 (日本時間)

82×10245+179

c186

name 名前Cyp
date 日付January 1, 2014 06:21:52 UTC 2014 年 1 月 1 日 (水) 15 時 21 分 52 秒 (日本時間)
composite number 合成数
107716761873645556352931327689596435386852152350682103065177669175399160324065518312597789644674281046791517093283578157164950338464392064579386146242659064190959831827490129866658363763<186>
prime factors 素因数
69063666146065376791132499023515323<35>
composite cofactor 合成数の残り
1559673383770726504459806133944758299283041312004860853806684946107972896541146769042135553903511526124542131729613255111590421784565300572529785946281<151>
factorization results 素因数分解の結果
Run 23 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3658316169
Step 1 took 16025ms
********** Factor found in step 1: 69063666146065376791132499023515323
Found probable prime factor of 35 digits: 69063666146065376791132499023515323
Composite cofactor 1559673383770726504459806133944758299283041312004860853806684946107972896541146769042135553903511526124542131729613255111590421784565300572529785946281 has 151 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6890290CypJanuary 1, 2014 06:21:51 UTC 2014 年 1 月 1 日 (水) 15 時 21 分 51 秒 (日本時間)
600Lionel DebrouxJanuary 2, 2014 14:44:43 UTC 2014 年 1 月 2 日 (木) 23 時 44 分 43 秒 (日本時間)
4511e62524500Serge BatalovJanuary 4, 2014 22:39:04 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 4 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:12 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 12 秒 (日本時間)
1124Ignacio SantosJanuary 8, 2016 22:07:09 UTC 2016 年 1 月 9 日 (土) 7 時 7 分 9 秒 (日本時間)
5043e6500 / 6953Serge BatalovJanuary 4, 2014 23:01:05 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 5 秒 (日本時間)

82×10246+179

c198

name 名前Cyp
date 日付February 14, 2014 16:00:47 UTC 2014 年 2 月 15 日 (土) 1 時 0 分 47 秒 (日本時間)
composite number 合成数
270292251858695207280429584313361138015425931391242982474978211818614132507310491144435478756047799326114988602944183760886603400053777478373300917613336493357963625395494343043024822086053035366157<198>
prime factors 素因数
35154853002510185951605035862515468002393<41>
composite cofactor 合成数の残り
7688618462987040373270467442148089734626241348266678847374942432105957275151648540781357713309772763126877380340078174630413403749936221658257669404345467349<157>
factorization results 素因数分解の結果
Run 84 out of 501:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1194503445
Step 1 took 68845ms
Step 2 took 20849ms
********** Factor found in step 2: 35154853002510185951605035862515468002393
Found probable prime factor of 41 digits: 35154853002510185951605035862515468002393
Composite cofactor 7688618462987040373270467442148089734626241348266678847374942432105957275151648540781357713309772763126877380340078174630413403749936221658257669404345467349 has 157 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

c157

name 名前Serge Batalov
date 日付May 24, 2014 21:27:50 UTC 2014 年 5 月 25 日 (日) 6 時 27 分 50 秒 (日本時間)
composite number 合成数
7688618462987040373270467442148089734626241348266678847374942432105957275151648540781357713309772763126877380340078174630413403749936221658257669404345467349<157>
prime factors 素因数
145220646256909628297246663120019776242486039<45>
52944389528367178170471829003768446439768854868143190223731624953168011200039913869154515779411385119323988770291<113>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=822003147
Step 1 took 40382ms
Step 2 took 21293ms
********** Factor found in step 2: 145220646256909628297246663120019776242486039
Found probable prime factor of 45 digits: 145220646256909628297246663120019776242486039
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 08:36:11 UTC 2014 年 1 月 1 日 (水) 17 時 36 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:10:42 UTC 2014 年 1 月 9 日 (木) 14 時 10 分 42 秒 (日本時間)
4511e62901 / 4345501CypFebruary 14, 2014 16:00:46 UTC 2014 年 2 月 15 日 (土) 1 時 0 分 46 秒 (日本時間)
1500Dmitry DomanovMarch 17, 2014 09:58:57 UTC 2014 年 3 月 17 日 (月) 18 時 58 分 57 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:03 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 3 秒 (日本時間)

82×10247+179

c239

name 名前Serge Batalov
date 日付December 25, 2013 04:23:06 UTC 2013 年 12 月 25 日 (水) 13 時 23 分 6 秒 (日本時間)
composite number 合成数
63617703668856873771391001619056826258322818376221069000988212349623382383542558356597351964273760516424101598781732208696868002003864876820713532553657302661343207668626151910990551093902857425368070001918982257457452200295076489825489111<239>
prime factors 素因数
5678333917136551429391319659060296097<37>
composite cofactor 合成数の残り
11203586227443589076574673192292631065361163597002062140520484516385340460712249950365860769997111466097123084767970467755173530790803415611128818848236861401745098299290129039578836438212779042069555063<203>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1334473032
Step 1 took 78285ms
Step 2 took 34857ms
********** Factor found in step 2: 5678333917136551429391319659060296097
Found probable prime factor of 37 digits: 5678333917136551429391319659060296097
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e60--
4511e62000 / 4475Serge BatalovDecember 25, 2013 04:18:59 UTC 2013 年 12 月 25 日 (水) 13 時 18 分 59 秒 (日本時間)

82×10249+179

c247

name 名前Serge Batalov
date 日付December 24, 2013 21:31:37 UTC 2013 年 12 月 25 日 (水) 6 時 31 分 37 秒 (日本時間)
composite number 合成数
1135907132665641579742065965728850655917106484367424399839310698305836069207219936555430882821482497333388743437365803654296360941417667511670753161839061352837689952762886312319051379018964108105112967349596198866863372535981936306085414675366053<247>
prime factors 素因数
6032330369637967032198902591466291529<37>
188303203415865558325043380698896191434121845720128008808859469683738244544261614601308662120483581398180817253756961383263457467737873140644268025593358320885422604798833519576184281023392099868494866942124157<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3902649265
Step 1 took 76810ms
Step 2 took 33978ms
********** Factor found in step 2: 6032330369637967032198902591466291529
Found probable prime factor of 37 digits: 6032330369637967032198902591466291529
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 29, 2013 16:00:00 UTC 2013 年 11 月 30 日 (土) 1 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:48 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 48 秒 (日本時間)
4511e6660 / 442960Serge BatalovDecember 4, 2013 17:32:48 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 48 秒 (日本時間)
600Serge BatalovDecember 24, 2013 19:51:14 UTC 2013 年 12 月 25 日 (水) 4 時 51 分 14 秒 (日本時間)

82×10251+179

c220

name 名前Eric Jeancolas
date 日付April 18, 2021 08:30:16 UTC 2021 年 4 月 18 日 (日) 17 時 30 分 16 秒 (日本時間)
composite number 合成数
1608210822034283104552075923506860886054386949494281617268067995291197750276174524033478227676355505962258398500069315963008162078855434242687277259919692308112215318571075811753033634163906311801642754335401873242644717<220>
prime factors 素因数
114694419815869826851954419776197573<36>
14021700660032992667943356434446074338872920289627362673694328443930471003467189066805160805897559520671594658575010544887874597934084445746888472576263888026630788259252550018597118729<185>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1608210822034283104552075923506860886054386949494281617268067995291197750276174524033478227676355505962258398500069315963008162078855434242687277259919692308112215318571075811753033634163906311801642754335401873242644717 (220 digits)
Run 229 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3354901359
Step 1 took 4739ms
Step 2 took 2328ms
********** Factor found in step 2: 114694419815869826851954419776197573
Found prime factor of 36 digits: 114694419815869826851954419776197573
Prime cofactor 14021700660032992667943356434446074338872920289627362673694328443930471003467189066805160805897559520671594658575010544887874597934084445746888472576263888026630788259252550018597118729 has 185 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6229 / 902Eric JeancolasApril 18, 2021 08:28:35 UTC 2021 年 4 月 18 日 (日) 17 時 28 分 35 秒 (日本時間)

82×10252+179

c252

composite cofactor 合成数の残り
828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828282828283<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:09:11 UTC 2021 年 4 月 22 日 (木) 13 時 9 分 11 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 06:37:35 UTC 2022 年 3 月 5 日 (土) 15 時 37 分 35 秒 (日本時間)

82×10254+179

c208

composite cofactor 合成数の残り
7963451583474244525116274144583521867791178778783434843585880000135968597661811811280214074554582475966012555350985913895198284633094326452162830295416920006680712427646059837836817791043706895440615028970099<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:09:27 UTC 2021 年 4 月 22 日 (木) 13 時 9 分 27 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 19:20:08 UTC 2022 年 2 月 18 日 (金) 4 時 20 分 8 秒 (日本時間)

82×10255+179

c151

name 名前Dmitry Domanov
date 日付January 13, 2021 10:40:44 UTC 2021 年 1 月 13 日 (水) 19 時 40 分 44 秒 (日本時間)
composite number 合成数
2479941896179180867958288060633893109381163061730970516303703701554034349065380850199497565294240410725401744847835489707179746217388820598609033276123<151>
prime factors 素因数
51838398424763648519836504670204911<35>
18942212620584591932234717971703557305381323<44>
2525568912876250430662641975452551690509873136562993806201724121822573791<73>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1544755827
Step 1 took 6778ms
********** Factor found in step 1: 51838398424763648519836504670204911
Found prime factor of 35 digits: 51838398424763648519836504670204911
Composite cofactor 47839863335640618616748595118763832489903620505132020437764334741852759758878393335345793350886539812865342560705493 has 116 digits

NFS on c116:
01/12/21 23:00:43 v1.34.5 @ 10464, nfs: commencing nfs on c116: 47839863335640618616748595118763832489903620505132020437764334741852759758878393335345793350886539812865342560705493
01/12/21 23:00:43 v1.34.5 @ 10464, nfs: commencing poly selection with 2 threads
01/12/21 23:00:43 v1.34.5 @ 10464, nfs: setting deadline of 4050 seconds
01/13/21 00:07:33 v1.34.5 @ 10464, nfs: completed 68 ranges of size 250 in 4009.7383 seconds
01/13/21 00:07:33 v1.34.5 @ 10464, nfs: best poly = # norm 5.166411e-11 alpha -6.677198 e 4.876e-10 rroots 5
01/13/21 00:07:33 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 00:27:50 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 00:47:36 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 01:10:41 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 01:34:51 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 01:57:30 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 02:17:55 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 02:37:01 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 02:56:31 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 03:15:46 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 03:34:29 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 03:52:03 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 04:11:03 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 04:30:23 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 04:50:10 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 05:10:44 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 05:32:38 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 05:53:08 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 06:13:54 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 06:34:48 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 06:54:49 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 07:16:12 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 07:37:48 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 08:00:39 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 08:21:56 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 08:43:28 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 09:05:38 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 09:26:25 v1.34.5 @ 10464, nfs: commencing lattice sieving with 2 threads
01/13/21 09:47:20 v1.34.5 @ 10464, nfs: commencing msieve filtering
01/13/21 09:51:22 v1.34.5 @ 10464, nfs: commencing msieve linear algebra
01/13/21 10:26:16 v1.34.5 @ 10464, nfs: commencing msieve sqrt
01/13/21 10:34:34 v1.34.5 @ 10464, prp73 = 2525568912876250430662641975452551690509873136562993806201724121822573791
01/13/21 10:34:34 v1.34.5 @ 10464, prp44 = 18942212620584591932234717971703557305381323
01/13/21 10:34:34 v1.34.5 @ 10464, NFS elapsed time = 41631.0510 seconds.

Wed Jan 13 09:47:20 2021  commencing relation filtering
Wed Jan 13 09:47:20 2021  estimated available RAM is 1839.2 MB
Wed Jan 13 09:47:20 2021  commencing duplicate removal, pass 1
Wed Jan 13 09:48:37 2021  found 763375 hash collisions in 10103529 relations
Wed Jan 13 09:48:53 2021  added 62786 free relations
Wed Jan 13 09:48:53 2021  commencing duplicate removal, pass 2
Wed Jan 13 09:48:58 2021  found 472173 duplicates and 9694142 unique relations
Wed Jan 13 09:48:58 2021  memory use: 32.6 MB
Wed Jan 13 09:48:58 2021  reading ideals above 100000
Wed Jan 13 09:48:58 2021  commencing singleton removal, initial pass
Wed Jan 13 09:50:36 2021  memory use: 344.5 MB
Wed Jan 13 09:50:36 2021  reading all ideals from disk
Wed Jan 13 09:50:38 2021  memory use: 337.6 MB
Wed Jan 13 09:50:38 2021  keeping 10660686 ideals with weight <= 200, target excess is 49758
Wed Jan 13 09:50:39 2021  commencing in-memory singleton removal
Wed Jan 13 09:50:40 2021  begin with 9694142 relations and 10660686 unique ideals
Wed Jan 13 09:50:46 2021  reduce to 3449677 relations and 3244680 ideals in 24 passes
Wed Jan 13 09:50:46 2021  max relations containing the same ideal: 106
Wed Jan 13 09:50:48 2021  removing 615340 relations and 541701 ideals in 73639 cliques
Wed Jan 13 09:50:48 2021  commencing in-memory singleton removal
Wed Jan 13 09:50:48 2021  begin with 2834337 relations and 3244680 unique ideals
Wed Jan 13 09:50:50 2021  reduce to 2740199 relations and 2606170 ideals in 11 passes
Wed Jan 13 09:50:50 2021  max relations containing the same ideal: 87
Wed Jan 13 09:50:51 2021  removing 459924 relations and 386285 ideals in 73639 cliques
Wed Jan 13 09:50:51 2021  commencing in-memory singleton removal
Wed Jan 13 09:50:51 2021  begin with 2280275 relations and 2606170 unique ideals
Wed Jan 13 09:50:52 2021  reduce to 2212738 relations and 2150463 ideals in 9 passes
Wed Jan 13 09:50:52 2021  max relations containing the same ideal: 79
Wed Jan 13 09:50:53 2021  relations with 0 large ideals: 145
Wed Jan 13 09:50:53 2021  relations with 1 large ideals: 526
Wed Jan 13 09:50:53 2021  relations with 2 large ideals: 8087
Wed Jan 13 09:50:53 2021  relations with 3 large ideals: 61421
Wed Jan 13 09:50:53 2021  relations with 4 large ideals: 241698
Wed Jan 13 09:50:53 2021  relations with 5 large ideals: 528120
Wed Jan 13 09:50:53 2021  relations with 6 large ideals: 664451
Wed Jan 13 09:50:53 2021  relations with 7+ large ideals: 708290
Wed Jan 13 09:50:53 2021  commencing 2-way merge
Wed Jan 13 09:50:54 2021  reduce to 1233343 relation sets and 1171070 unique ideals
Wed Jan 13 09:50:54 2021  ignored 2 oversize relation sets
Wed Jan 13 09:50:54 2021  commencing full merge
Wed Jan 13 09:51:14 2021  memory use: 130.6 MB
Wed Jan 13 09:51:14 2021  found 605779 cycles, need 595270
Wed Jan 13 09:51:14 2021  weight of 595270 cycles is about 41702474 (70.06/cycle)
Wed Jan 13 09:51:14 2021  distribution of cycle lengths:
Wed Jan 13 09:51:14 2021  1 relations: 68062
Wed Jan 13 09:51:14 2021  2 relations: 66400
Wed Jan 13 09:51:14 2021  3 relations: 65852
Wed Jan 13 09:51:14 2021  4 relations: 59194
Wed Jan 13 09:51:14 2021  5 relations: 54619
Wed Jan 13 09:51:14 2021  6 relations: 46593
Wed Jan 13 09:51:14 2021  7 relations: 41629
Wed Jan 13 09:51:14 2021  8 relations: 36223
Wed Jan 13 09:51:14 2021  9 relations: 31028
Wed Jan 13 09:51:14 2021  10+ relations: 125670
Wed Jan 13 09:51:14 2021  heaviest cycle: 22 relations
Wed Jan 13 09:51:14 2021  commencing cycle optimization
Wed Jan 13 09:51:15 2021  start with 3666342 relations
Wed Jan 13 09:51:20 2021  pruned 71987 relations
Wed Jan 13 09:51:20 2021  memory use: 124.7 MB
Wed Jan 13 09:51:20 2021  distribution of cycle lengths:
Wed Jan 13 09:51:20 2021  1 relations: 68062
Wed Jan 13 09:51:20 2021  2 relations: 67773
Wed Jan 13 09:51:20 2021  3 relations: 67680
Wed Jan 13 09:51:20 2021  4 relations: 60425
Wed Jan 13 09:51:20 2021  5 relations: 55451
Wed Jan 13 09:51:20 2021  6 relations: 47255
Wed Jan 13 09:51:20 2021  7 relations: 42025
Wed Jan 13 09:51:20 2021  8 relations: 36260
Wed Jan 13 09:51:20 2021  9 relations: 30761
Wed Jan 13 09:51:20 2021  10+ relations: 119578
Wed Jan 13 09:51:20 2021  heaviest cycle: 22 relations
Wed Jan 13 09:51:22 2021  RelProcTime: 242
Wed Jan 13 09:51:22 2021  
Wed Jan 13 09:51:22 2021  commencing linear algebra
Wed Jan 13 09:51:22 2021  read 595270 cycles
Wed Jan 13 09:51:23 2021  cycles contain 2111287 unique relations
Wed Jan 13 09:51:40 2021  read 2111287 relations
Wed Jan 13 09:51:42 2021  using 20 quadratic characters above 134215814
Wed Jan 13 09:51:53 2021  building initial matrix
Wed Jan 13 09:52:13 2021  memory use: 260.1 MB
Wed Jan 13 09:52:14 2021  read 595270 cycles
Wed Jan 13 09:52:14 2021  matrix is 595089 x 595270 (178.9 MB) with weight 57027013 (95.80/col)
Wed Jan 13 09:52:14 2021  sparse part has weight 40361384 (67.80/col)
Wed Jan 13 09:52:19 2021  filtering completed in 2 passes
Wed Jan 13 09:52:19 2021  matrix is 593260 x 593441 (178.8 MB) with weight 56946587 (95.96/col)
Wed Jan 13 09:52:19 2021  sparse part has weight 40335026 (67.97/col)
Wed Jan 13 09:52:21 2021  matrix starts at (0, 0)
Wed Jan 13 09:52:21 2021  matrix is 593260 x 593441 (178.8 MB) with weight 56946587 (95.96/col)
Wed Jan 13 09:52:21 2021  sparse part has weight 40335026 (67.97/col)
Wed Jan 13 09:52:21 2021  saving the first 48 matrix rows for later
Wed Jan 13 09:52:21 2021  matrix includes 64 packed rows
Wed Jan 13 09:52:21 2021  matrix is 593212 x 593441 (173.0 MB) with weight 45357844 (76.43/col)
Wed Jan 13 09:52:21 2021  sparse part has weight 39408434 (66.41/col)
Wed Jan 13 09:52:21 2021  using block size 65536 for processor cache size 16384 kB
Wed Jan 13 09:52:24 2021  commencing Lanczos iteration (2 threads)
Wed Jan 13 09:52:24 2021  memory use: 138.2 MB
Wed Jan 13 09:52:33 2021  linear algebra at 0.5%, ETA 0h29m
Wed Jan 13 10:26:15 2021  lanczos halted after 9384 iterations (dim = 593212)
Wed Jan 13 10:26:16 2021  recovered 30 nontrivial dependencies
Wed Jan 13 10:26:16 2021  BLanczosTime: 2094
Wed Jan 13 10:26:16 2021  
Wed Jan 13 10:26:16 2021  commencing square root phase
Wed Jan 13 10:26:16 2021  reading relations for dependency 1
Wed Jan 13 10:26:16 2021  read 296412 cycles
Wed Jan 13 10:26:16 2021  cycles contain 1054874 unique relations
Wed Jan 13 10:26:27 2021  read 1054874 relations
Wed Jan 13 10:26:31 2021  multiplying 1054874 relations
Wed Jan 13 10:27:18 2021  multiply complete, coefficients have about 45.63 million bits
Wed Jan 13 10:27:18 2021  initial square root is modulo 3557831
Wed Jan 13 10:28:21 2021  GCD is N, no factor found
Wed Jan 13 10:28:21 2021  reading relations for dependency 2
Wed Jan 13 10:28:21 2021  read 296612 cycles
Wed Jan 13 10:28:21 2021  cycles contain 1053602 unique relations
Wed Jan 13 10:28:32 2021  read 1053602 relations
Wed Jan 13 10:28:36 2021  multiplying 1053602 relations
Wed Jan 13 10:29:25 2021  multiply complete, coefficients have about 45.57 million bits
Wed Jan 13 10:29:25 2021  initial square root is modulo 3492407
Wed Jan 13 10:30:27 2021  GCD is 1, no factor found
Wed Jan 13 10:30:27 2021  reading relations for dependency 3
Wed Jan 13 10:30:27 2021  read 296397 cycles
Wed Jan 13 10:30:28 2021  cycles contain 1053444 unique relations
Wed Jan 13 10:30:38 2021  read 1053444 relations
Wed Jan 13 10:30:42 2021  multiplying 1053444 relations
Wed Jan 13 10:31:29 2021  multiply complete, coefficients have about 45.57 million bits
Wed Jan 13 10:31:29 2021  initial square root is modulo 3487751
Wed Jan 13 10:32:30 2021  GCD is N, no factor found
Wed Jan 13 10:32:30 2021  reading relations for dependency 4
Wed Jan 13 10:32:30 2021  read 297217 cycles
Wed Jan 13 10:32:31 2021  cycles contain 1056134 unique relations
Wed Jan 13 10:32:41 2021  read 1056134 relations
Wed Jan 13 10:32:45 2021  multiplying 1056134 relations
Wed Jan 13 10:33:31 2021  multiply complete, coefficients have about 45.68 million bits
Wed Jan 13 10:33:31 2021  initial square root is modulo 3623369
Wed Jan 13 10:34:34 2021  sqrtTime: 498
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovJanuary 12, 2021 15:40:02 UTC 2021 年 1 月 13 日 (水) 0 時 40 分 2 秒 (日本時間)

82×10258+179

c233

composite cofactor 合成数の残り
30590455007877915426552832192440864559384284420235785633142232666485247180633141067413958632483362062119062392654644710053352904574260959783724781800985671654250178432527536841401769665267005276929856891608489413092383734051869714631<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:09:44 UTC 2021 年 4 月 22 日 (木) 13 時 9 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 08:29:01 UTC 2022 年 2 月 16 日 (水) 17 時 29 分 1 秒 (日本時間)

82×10259+179

c248

composite cofactor 合成数の残り
81688122745108352978631480896532942732511907412536491616066353177000977778979885129601915397305257224943947348662421597747980915817453707676133480739294326175936643045487708277013380710890171866157089941393192882621952432310052860682717756322457237<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:09:57 UTC 2021 年 4 月 22 日 (木) 13 時 9 分 57 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 13:30:57 UTC 2022 年 2 月 21 日 (月) 22 時 30 分 57 秒 (日本時間)

82×10260+179

c234

composite cofactor 合成数の残り
632918421823894620645068712503201059920706876086308906228242918710572777222234941917828191081318913996835113766616876765147888435807880624993221958106897557305075866814148810810255791756156397636670057415727114171297881378350423703813<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:10:12 UTC 2021 年 4 月 22 日 (木) 13 時 10 分 12 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 17:29:07 UTC 2022 年 2 月 20 日 (日) 2 時 29 分 7 秒 (日本時間)

82×10261+179

c213

composite cofactor 合成数の残り
647253166519703666662516288353960888601418996975741808859039356597373140736898789236452695276969367385824555828861305442439739428897186282778250228611350627801844058762932285631794479043103799287645416857253522293<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:10:28 UTC 2021 年 4 月 22 日 (木) 13 時 10 分 28 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 06:33:36 UTC 2022 年 2 月 18 日 (金) 15 時 33 分 36 秒 (日本時間)

82×10262+179

c214

composite cofactor 合成数の残り
4623057886020605447090352754771393076083372614338386602271832208717429770979614022855029829900958930609674229304201630390558469873349384424338394524284567012147278362441207176273543313889876145320661176832510207067<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:10:46 UTC 2021 年 4 月 22 日 (木) 13 時 10 分 46 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 05:19:56 UTC 2022 年 2 月 19 日 (土) 14 時 19 分 56 秒 (日本時間)

82×10263+179

c262

composite cofactor 合成数の残り
3026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947212993724621631598375784422296050203026947213<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:11:01 UTC 2021 年 4 月 22 日 (木) 13 時 11 分 1 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 09:00:23 UTC 2022 年 3 月 5 日 (土) 18 時 0 分 23 秒 (日本時間)

82×10265+179

c248

composite cofactor 合成数の残り
17341624023139679421360685790267517114130966812821160003431937484773608155212647746286879315041443008212244746287562653814587558841869942549179142334670434332527922244828722748118448209455434390863678950873260463146507654195896169998578573428461863<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:11:14 UTC 2021 年 4 月 22 日 (木) 13 時 11 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 17:24:57 UTC 2022 年 2 月 21 日 (月) 2 時 24 分 57 秒 (日本時間)

82×10267+179

c243

composite cofactor 合成数の残り
245870808564009131319980098855085296305327890486314902873041339491423329091766190215853845069300614616344069526985665384353806667479240773615606837996988483891193689809819561298638055570404784692725228143328680404125830670458082501836430595053<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:11:30 UTC 2021 年 4 月 22 日 (木) 13 時 11 分 30 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 08:58:55 UTC 2022 年 2 月 21 日 (月) 17 時 58 分 55 秒 (日本時間)

82×10268+179

c210

composite cofactor 合成数の残り
263463326662418158207060202918204620589642718812021789535499892612842712045481047273349290216560302991372392230760173205701016239434052251848759051205373006392636798068555969481383030213472343286501460088669963<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:11:48 UTC 2021 年 4 月 22 日 (木) 13 時 11 分 48 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 00:34:41 UTC 2022 年 2 月 20 日 (日) 9 時 34 分 41 秒 (日本時間)

82×10270+179

c254

composite cofactor 合成数の残り
27402197051908391753040404817462304922615025299911644889560466269147267750867846143045238318801286795947327534381134317057544266033211978708123395221416710774087872698251170290136984389182341385958017885730183495365047155332882727034971977336490439230971<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:12:02 UTC 2021 年 4 月 22 日 (木) 13 時 12 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 21:06:24 UTC 2022 年 3 月 5 日 (土) 6 時 6 分 24 秒 (日本時間)

82×10274+179

c258

composite cofactor 合成数の残り
411256522943769284111096414592282409963779621077827741771416264249345830409816794073175170505590264625677969632238046361154428764610600035729986852030805815165746834008043914587219446112815244766075799565572982761509153342256075460254137294776414686604204961<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:08:02 UTC 2021 年 4 月 22 日 (木) 13 時 8 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 18:37:16 UTC 2022 年 3 月 7 日 (月) 3 時 37 分 16 秒 (日本時間)

82×10275+179

c239

composite cofactor 合成数の残り
44319885372486861013796781259414316103280018075859355758366006411636405017197672646487451500611640930464678663203135382346441298686494498773736109825275365316163402009209323843856550615850505009191662851874973919103240265114169695182048579<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:07:47 UTC 2021 年 4 月 22 日 (木) 13 時 7 分 47 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 15:11:55 UTC 2022 年 2 月 21 日 (月) 0 時 11 分 55 秒 (日本時間)

82×10276+179

c264

name 名前Marlon Trifunovic
date 日付February 16, 2022 22:02:28 UTC 2022 年 2 月 17 日 (木) 7 時 2 分 28 秒 (日本時間)
composite number 合成数
288062329375863535308041781885165892542923399964332021528869426757367370200165962963245668680816261093501791995168849118790532365349882632249756311588782315239369661742829541457391861191656185125243567583043730157629339882785027138333082702295160188487134679814297<264>
prime factors 素因数
2185316075052534909509244955732263433<37>
composite cofactor 合成数の残り
131817238094008221960758908946969227613045204945980481483033948708729244843542370036491379444399661787437087587710313632010780555800625564731702095801428321409969485709169135982258138071303480644484641107802023154343320256609809<228>
factorization results 素因数分解の結果
Run 274 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3757871309
Step 1 took 26378ms
********** Factor found in step 1: 2185316075052534909509244955732263433
Found prime factor of 37 digits: 2185316075052534909509244955732263433
Composite cofactor 131817238094008221960758908946969227613045204945980481483033948708729244843542370036491379444399661787437087587710313632010780555800625564731702095801428321409969485709169135982258138071303480644484641107802023154343320256609809 has 228 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:07:34 UTC 2021 年 4 月 22 日 (木) 13 時 7 分 34 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 24, 2022 01:03:42 UTC 2022 年 2 月 24 日 (木) 10 時 3 分 42 秒 (日本時間)

82×10278+179

c190

composite cofactor 合成数の残り
2459830018002333671623799486444951519078034139886680010342715903203624942991047126945853063123825737143829782706815835090439585598427161125161263269149808171959032187222862673964394593630057<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e635501200Dmitry DomanovFebruary 5, 2021 06:00:58 UTC 2021 年 2 月 5 日 (金) 15 時 0 分 58 秒 (日本時間)
2350Ignacio SantosMarch 3, 2021 22:26:12 UTC 2021 年 3 月 4 日 (木) 7 時 26 分 12 秒 (日本時間)
4511e64480Ignacio SantosApril 5, 2021 20:16:49 UTC 2021 年 4 月 6 日 (火) 5 時 16 分 49 秒 (日本時間)

82×10279+179

c260

composite cofactor 合成数の残り
61553439315911566580789813862106958920799597125584967346973510028392289440727976738351613914056714993395962588690204745532003688990339535484235128812691025136059992012830408444795577118423153321033195901850275474976302425086222875233262893876583639975388535761<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:07:00 UTC 2021 年 4 月 22 日 (木) 13 時 7 分 0 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 03:36:47 UTC 2022 年 3 月 2 日 (水) 12 時 36 分 47 秒 (日本時間)

82×10280+179

c227

composite cofactor 合成数の残り
56824038128566186815541520466337356506039637211955540156395655196545351229429761266698472857448553556383654514384703716983392254458846853236271242611245880423992174127479839157910452339565891016459050759643062095894773430753727<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:06:44 UTC 2021 年 4 月 22 日 (木) 13 時 6 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 23:59:01 UTC 2022 年 2 月 24 日 (木) 8 時 59 分 1 秒 (日本時間)

82×10283+179

c218

name 名前Marlon Trifunovic
date 日付February 28, 2022 23:32:49 UTC 2022 年 3 月 1 日 (火) 8 時 32 分 49 秒 (日本時間)
composite number 合成数
13012798119450080815603833378618822873557596123376260929419029902416323239103836615487311138131157461837327662795897816111017113907135325565350251400451281574068682762860777441505983012509866404742845581135029236348517<218>
prime factors 素因数
63719842770591909863478397494611629<35>
composite cofactor 合成数の残り
204218930142366414011532264794272971721681624850730833055955054443972207660320605909766789215920300877536426886058513755659368479615726294987361841043803272612410930879426692439512473<183>
factorization results 素因数分解の結果
Run 351 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:227151958
Step 1 took 20697ms
Step 2 took 8178ms
********** Factor found in step 2: 63719842770591909863478397494611629
Found prime factor of 35 digits: 63719842770591909863478397494611629
Composite cofactor 204218930142366414011532264794272971721681624850730833055955054443972207660320605909766789215920300877536426886058513755659368479615726294987361841043803272612410930879426692439512473 has 183 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:06:24 UTC 2021 年 4 月 22 日 (木) 13 時 6 分 24 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 22, 2022 04:16:14 UTC 2022 年 2 月 22 日 (火) 13 時 16 分 14 秒 (日本時間)
2350Ignacio SantosMarch 1, 2022 14:20:46 UTC 2022 年 3 月 1 日 (火) 23 時 20 分 46 秒 (日本時間)
4511e64480Ignacio SantosMarch 7, 2022 17:41:03 UTC 2022 年 3 月 8 日 (火) 2 時 41 分 3 秒 (日本時間)

82×10284+179

c265

composite cofactor 合成数の残り
6094537281046379132159924725498167338352687454978166845983387593287581206172865027667782096870112836258588514471625899279393540842118687474776639407554547394494510162117014533329916958247302942914457574493898363615974842854101438581364003464124785885152690062784117<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:06:10 UTC 2021 年 4 月 22 日 (木) 13 時 6 分 10 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 19:43:18 UTC 2022 年 3 月 6 日 (日) 4 時 43 分 18 秒 (日本時間)

82×10285+179

c278

composite cofactor 合成数の残り
69747036540066719725959198267715648827280855191822803679790024947417730416784108555526106145236936896566874027243078495685470859832305788094514457582940383845551699573628965640109964504703910684272176204871188999702215027492185140130017202995988037331924388758512539689136488487<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:05:51 UTC 2021 年 4 月 22 日 (木) 13 時 5 分 51 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 23:59:05 UTC 2022 年 2 月 24 日 (木) 8 時 59 分 5 秒 (日本時間)

82×10286+179

c263

composite cofactor 合成数の残り
35705953028846742416392942396396711203913811662122571379195328878948761098521444421575025741456068232610715503877220108329193537557839642956194299792927474546919212147890158084338587188964520547640308218244235066309045465638163465686571269440249850037311841016693<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:05:33 UTC 2021 年 4 月 22 日 (木) 13 時 5 分 33 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 23:01:51 UTC 2022 年 3 月 5 日 (土) 8 時 1 分 51 秒 (日本時間)

82×10287+179

c249

name 名前Eric Jeancolas
date 日付April 21, 2021 02:41:45 UTC 2021 年 4 月 21 日 (水) 11 時 41 分 45 秒 (日本時間)
composite number 合成数
166439660094832904769487592829366715066406027303027084935787169351108089055788259949537486141747046992937826868761920670107354345717797628928363125509122498718157593402662247493138388668131562981646955126989775380775809795787566325514774214967878511<249>
prime factors 素因数
261511160952766775027669756174472179<36>
636453371582464314224203326562730082524132388645322441808548371861850365880681132588292170950501768869092194297878670090765467853756032937488445960651266935296895712771566385370854072683548253127324555619035209109<213>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 166439660094832904769487592829366715066406027303027084935787169351108089055788259949537486141747046992937826868761920670107354345717797628928363125509122498718157593402662247493138388668131562981646955126989775380775809795787566325514774214967878511 (249 digits)
Run 70 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3629727049
Step 1 took 4738ms
Step 2 took 2359ms
********** Factor found in step 2: 261511160952766775027669756174472179
Found prime factor of 36 digits: 261511160952766775027669756174472179
Prime cofactor 636453371582464314224203326562730082524132388645322441808548371861850365880681132588292170950501768869092194297878670090765467853756032937488445960651266935296895712771566385370854072683548253127324555619035209109 has 213 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40 / 147--
351e670 / 902Eric JeancolasApril 21, 2021 02:40:07 UTC 2021 年 4 月 21 日 (水) 11 時 40 分 7 秒 (日本時間)

82×10288+179

c279

composite cofactor 合成数の残り
847379918518039236991970900412095221598501939851039228591656088409529400633060070764604197006477510561097358064246338433702429308824243929776125132557349622728401266298124380581807346937461527218833182402863679727327140110436775916823518443764126076228520472858071650149962379949<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:05:14 UTC 2021 年 4 月 22 日 (木) 13 時 5 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 17:45:05 UTC 2022 年 3 月 9 日 (水) 2 時 45 分 5 秒 (日本時間)

82×10289+179

c254

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:57:01 UTC 2022 年 4 月 15 日 (金) 9 時 57 分 1 秒 (日本時間)
composite number 合成数
57041354452316965262468998505860730145795597286765432095783479941867206440718414258713866305386471365716239679602465588035052628872024264970614764474711767607633873207022413683892653142131102173675525346733876629649296453079747628852414437393870169505049<254>
prime factors 素因数
8809190394247747535039455850102830847<37>
6475209627613907153607140004378494692146188738993111542726435668004122221804110570182747050745513365818318051972815817115275964599029384486133010063639627478790483304102444387295189032852848498593652294054504109908967<217>
factorization results 素因数分解の結果
Run 31 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:490420297
Step 1 took 26741ms
Step 2 took 5130ms
********** Factor found in step 2: 8809190394247747535039455850102830847
Found prime factor of 37 digits: 8809190394247747535039455850102830847
Prime cofactor 6475209627613907153607140004378494692146188738993111542726435668004122221804110570182747050745513365818318051972815817115275964599029384486133010063639627478790483304102444387295189032852848498593652294054504109908967 has 217 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:04:55 UTC 2021 年 4 月 22 日 (木) 13 時 4 分 55 秒 (日本時間)

82×10290+179

c221

composite cofactor 合成数の残り
15537309624252464752153743599580388758699303330364214166927302035770174290949954672601840711470683382970544473470368820995530192063568065639725337339840831898388736088702820847540177374677006058814233854882248232285851837<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:04:39 UTC 2021 年 4 月 22 日 (木) 13 時 4 分 39 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 10:26:23 UTC 2022 年 2 月 21 日 (月) 19 時 26 分 23 秒 (日本時間)

82×10291+179

c271

composite cofactor 合成数の残り
6076228459829312803055288702650707202775650450396413811021882753291282644223281096467436571860821335195383997028478020604591818040198785630660186145644864962237838091183272720674949119465499104496948144393112196115633419969165529324191340469349736421571440584031469959913<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:04:23 UTC 2021 年 4 月 22 日 (木) 13 時 4 分 23 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 17:48:47 UTC 2022 年 3 月 9 日 (水) 2 時 48 分 47 秒 (日本時間)

82×10292+179

c263

composite cofactor 合成数の残り
29965355339583843376782310992422146022002714826141242279108585176953916267095035392231569016234040364111776633418138754258205085025503114595886772911783242563012520117805023295382409043855542175283156033381836441815207843713226305920158742029856382112243309954851<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:04:07 UTC 2021 年 4 月 22 日 (木) 13 時 4 分 7 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 11:02:44 UTC 2022 年 3 月 6 日 (日) 20 時 2 分 44 秒 (日本時間)

82×10293+179

c238

composite cofactor 合成数の残り
9184899419009681521647158916135797106704044607142437185638752301795184284891728928142205346084906047650340833925101015594857991365333875995769489746653405435652431765356479135828322502607495151031630577249997347082434843809487123188613453<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:03:50 UTC 2021 年 4 月 22 日 (木) 13 時 3 分 50 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 22:01:00 UTC 2022 年 2 月 22 日 (火) 7 時 1 分 0 秒 (日本時間)

82×10294+179

c265

composite cofactor 合成数の残り
3016364515610368745448267108831809544622952573904155699164437144314408370248674588241940663130392875554164889893316530284917597401144799392659997964944210410041523476450342616154398296561307855888675643018805678284381900283957987414820825504590464161242937193411457<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 22, 2021 04:02:56 UTC 2021 年 4 月 22 日 (木) 13 時 2 分 56 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 00:10:50 UTC 2022 年 3 月 6 日 (日) 9 時 10 分 50 秒 (日本時間)

82×10295+179

c296

name 名前Eric Jeancolas
date 日付April 22, 2021 04:01:23 UTC 2021 年 4 月 22 日 (木) 13 時 1 分 23 秒 (日本時間)
composite number 合成数
10123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123457<296>
prime factors 素因数
3090771348040488661925113600322945467<37>
composite cofactor 合成数の残り
3275381984028551618466898292744489214944612105446275046101886738274287857964312434351879149062225740062529766090294483698715625819870557318283435789193402052513779446457776090160133464535406819703437626522772004140744995196841829441661714975110796625440225971<259>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123457 (296 digits)
Run 30 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2832424327
Step 1 took 12422ms
Step 2 took 6663ms
********** Factor found in step 2: 3090771348040488661925113600322945467
Found prime factor of 37 digits: 3090771348040488661925113600322945467
Composite cofactor 3275381984028551618466898292744489214944612105446275046101886738274287857964312434351879149062225740062529766090294483698715625819870557318283435789193402052513779446457776090160133464535406819703437626522772004140744995196841829441661714975110796625440225971 has 259 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6123030Eric JeancolasApril 22, 2021 03:59:34 UTC 2021 年 4 月 22 日 (木) 12 時 59 分 34 秒 (日本時間)
1200Eric JeancolasApril 23, 2021 07:46:10 UTC 2021 年 4 月 23 日 (金) 16 時 46 分 10 秒 (日本時間)
403e6584 / 2015Marlon TrifunovicMarch 5, 2022 13:28:06 UTC 2022 年 3 月 5 日 (土) 22 時 28 分 6 秒 (日本時間)

82×10296+179

c276

composite cofactor 合成数の残り
987109324391064810936806472199091513905627051425677038697195521955748244106818205726563112331883146988688660573189527166460681833978680860025906129265607378895436971956055205695116890017711356106060552773862088858937591645854415108110027452377780599509064651308033544551451591<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 07:46:24 UTC 2021 年 4 月 23 日 (金) 16 時 46 分 24 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 09:30:52 UTC 2022 年 3 月 9 日 (水) 18 時 30 分 52 秒 (日本時間)

82×10297+179

c285

composite cofactor 合成数の残り
152165683720958861215829279631772535022094667604952115920668071379652410923109408602167127658203425226795912757711456550456982868291374400863733430681127110488329409246232340118794460992719303359980417413833296844822012863563684263933665956659891460400047821691119734654912111974393523<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 07:45:58 UTC 2021 年 4 月 23 日 (金) 16 時 45 分 58 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 05:35:30 UTC 2022 年 3 月 9 日 (水) 14 時 35 分 30 秒 (日本時間)

82×10299+179

c243

composite cofactor 合成数の残り
287337618335628998445005869032415870587970217543016495707566459173649203249991828488054322205833660062895714385721159910619304376650761774276883816974401535945579434951914497951314732118751489742566184752601162423196419848643847522971806018653<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasApril 23, 2021 07:45:44 UTC 2021 年 4 月 23 日 (金) 16 時 45 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 00:41:37 UTC 2022 年 2 月 17 日 (木) 9 時 41 分 37 秒 (日本時間)