Table of contents 目次

93×1097-1

c95

name 名前KTakahashi
date 日付November 17, 2014 13:37:07 UTC 2014 年 11 月 17 日 (月) 22 時 37 分 7 秒 (日本時間)
composite number 合成数
48104277659959654476801324160761392437800651735374747840480008276004758702736254073346092174003<95>
prime factors 素因数
209868209604791236293897012759724551018777227<45>
229211836087734206356649639791262942598103507930489<51>
factorization results 素因数分解の結果
Number: 92999_97
N=48104277659959654476801324160761392437800651735374747840480008276004758702736254073346092174003
  ( 95 digits)
SNFS difficulty: 98 digits.
Divisors found:
 r1=209868209604791236293897012759724551018777227 (pp45)
 r2=229211836087734206356649639791262942598103507930489 (pp51)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.27 hours.
Scaled time: 0.47 units (timescale=1.742).
Factorization parameters were as follows:
n: 48104277659959654476801324160761392437800651735374747840480008276004758702736254073346092174003
m: 1000000000000000000000000
deg: 4
c4: 930
c0: -1
skew: 0.18
# Murphy_E = 2.668e-07
type: snfs
lss: 1
rlim: 310000
alim: 310000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1Factor base limits: 310000/310000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [155000, 275001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 30459 x 30687
Total sieving time: 0.26 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,98.0000,4,0,0,0,0,0,0,0,0,310000,310000,24,24,43,43,2.1,2.1,10000
total time: 0.27 hours.
 --------- CPU info (if available) ----------

ECM

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

93×10101-1

c103

name 名前KTakahashi
date 日付November 17, 2014 14:10:42 UTC 2014 年 11 月 17 日 (月) 23 時 10 分 42 秒 (日本時間)
composite number 合成数
9299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<103>
prime factors 素因数
767247589551321138387193820179463<33>
12121250202217707509586361438427327185992503258921295424838450039078473<71>
factorization results 素因数分解の結果
Number: 92999_101
N=9299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 103 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=767247589551321138387193820179463 (pp33)
 r2=12121250202217707509586361438427327185992503258921295424838450039078473 (pp71)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.49 hours.
Scaled time: 0.86 units (timescale=1.781).
Factorization parameters were as follows:
n: 9299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 10000000000000000000000000
deg: 4
c4: 930
c0: -1
skew: 0.18
# Murphy_E = 1.773e-07
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44323 x 44553
Total sieving time: 0.47 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.49 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 KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)

93×10114-1

c97

name 名前KTakahashi
date 日付November 17, 2014 19:42:32 UTC 2014 年 11 月 18 日 (火) 4 時 42 分 32 秒 (日本時間)
composite number 合成数
9094271353696432290997807548393431097840060403842331512698062507677824529948416423760789533220343<97>
prime factors 素因数
2943123426300920298658676807<28>
3090006784094207582400875205587789418771991953952862596431198157962449<70>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 9094271353696432290997807548393431097840060403842331512698062507677824529948416423760789533220343 (97 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1057128031
Step 1 took 2823ms
Step 2 took 1685ms
********** Factor found in step 2: 2943123426300920298658676807
Found probable prime factor of 28 digits: 2943123426300920298658676807
Probable prime cofactor 3090006784094207582400875205587789418771991953952862596431198157962449 has 70 digits

ECM

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

93×10115-1

c114

name 名前Dmitry Domanov
date 日付November 18, 2014 07:24:00 UTC 2014 年 11 月 18 日 (火) 16 時 24 分 0 秒 (日本時間)
composite number 合成数
175108265863302579551873470156279420071549614008661269064206364149877612502353605723969120692901525136509131990209<114>
prime factors 素因数
41727915259568470709426480181042097229537176534469273<53>
4196429770671305324965636852879288105807131205921688514915433<61>
factorization results 素因数分解の結果
N=175108265863302579551873470156279420071549614008661269064206364149877612502353605723969120692901525136509131990209
  ( 114 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=41727915259568470709426480181042097229537176534469273 (pp53)
 r2=4196429770671305324965636852879288105807131205921688514915433 (pp61)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.84 hours.
Scaled time: 1.81 units (timescale=2.146).
Factorization parameters were as follows:
n: 175108265863302579551873470156279420071549614008661269064206364149877612502353605723969120692901525136509131990209
m: 100000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 2.829e-08
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor 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, 760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58696 x 58922
Total sieving time: 0.81 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 0.84 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:07 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 7 秒 (日本時間)

93×10121-1

c109

name 名前Dmitry Domanov
date 日付November 18, 2014 08:30:31 UTC 2014 年 11 月 18 日 (火) 17 時 30 分 31 秒 (日本時間)
composite number 合成数
4099516124209055672082252684361249409504447441605773962924441285565007531589216333078713370300301149696846651<109>
prime factors 素因数
54909017601851104624297702966198171729<38>
74660161540949731029297947598934720342657089150093593955214033184822219<71>
factorization results 素因数分解の結果
N=4099516124209055672082252684361249409504447441605773962924441285565007531589216333078713370300301149696846651
  ( 109 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=54909017601851104624297702966198171729 (pp38)
 r2=74660161540949731029297947598934720342657089150093593955214033184822219 (pp71)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4099516124209055672082252684361249409504447441605773962924441285565007531589216333078713370300301149696846651
m: 1000000000000000000000000
deg: 5
c5: 930
c0: -1
skew: 0.25
# Murphy_E = 1.218e-08
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 790001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85625 x 85850
Total sieving time: 1.69 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,50000
total time: 1.73 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:07 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 7 秒 (日本時間)

93×10123-1

c125

name 名前Serge Batalov
date 日付November 18, 2014 00:43:17 UTC 2014 年 11 月 18 日 (火) 9 時 43 分 17 秒 (日本時間)
composite number 合成数
92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<125>
prime factors 素因数
2882750511564264686332885563414124350444856943<46>
32260856299193051479266752761418807600647232671454194636374247163395855776270193<80>
factorization results 素因数分解の結果
Divisors found:
 r1=2882750511564264686332885563414124350444856943 (pp46)
 r2=32260856299193051479266752761418807600647232671454194636374247163395855776270193 (pp80)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 1.13 hours.
Scaled time: 2.71 units (timescale=2.400).
Factorization parameters were as follows:
n: 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 1000000000000000000000000
deg: 5
c5: 93000
c0: -1
skew: 0.10
# Murphy_E = 9.112e-09
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 875001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 103257 x 103482
Total sieving time: 1.10 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,124.000,5,0,0,0,0,0,0,0,0,850000,850000,25,25,46,46,2.2,2.2,50000
total time: 1.13 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:07 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 7 秒 (日本時間)

93×10131-1

c105

name 名前Dmitry Domanov
date 日付November 18, 2014 12:36:50 UTC 2014 年 11 月 18 日 (火) 21 時 36 分 50 秒 (日本時間)
composite number 合成数
659986596795983236361065772848631874774335919357619417907816919938157561841085259801204776910122417072581<105>
prime factors 素因数
32612665583813335488482830708398647098623790169<47>
20237125208298054384899877432253254427558391915489813244749<59>
factorization results 素因数分解の結果
N=659986596795983236361065772848631874774335919357619417907816919938157561841085259801204776910122417072581
  ( 105 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=32612665583813335488482830708398647098623790169 (pp47)
 r2=20237125208298054384899877432253254427558391915489813244749 (pp59)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.79 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 659986596795983236361065772848631874774335919357619417907816919938157561841085259801204776910122417072581
m: 100000000000000000000000000
deg: 5
c5: 930
c0: -1
skew: 0.25
# Murphy_E = 5.349e-09
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 174456 x 174683
Total sieving time: 2.66 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 2.79 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:08 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 8 秒 (日本時間)

93×10132-1

c100

name 名前Dmitry Domanov
date 日付November 18, 2014 13:21:49 UTC 2014 年 11 月 18 日 (火) 22 時 21 分 49 秒 (日本時間)
composite number 合成数
3114483420659927755726797237915593873456809183613441233119922390230023126287634980232479019368289893<100>
prime factors 素因数
42066105571083432122745619463283809417<38>
74037835886591980186215633224775478986586133244961814229650429<62>
factorization results 素因数分解の結果
N=3114483420659927755726797237915593873456809183613441233119922390230023126287634980232479019368289893
  ( 100 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=42066105571083432122745619463283809417 (pp38)
 r2=74037835886591980186215633224775478986586133244961814229650429 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.73 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3114483420659927755726797237915593873456809183613441233119922390230023126287634980232479019368289893
m: 100000000000000000000000000
deg: 5
c5: 9300
c0: -1
skew: 0.16
# Murphy_E = 5.012e-09
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 175514 x 175739
Total sieving time: 2.61 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 2.73 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:09 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 9 秒 (日本時間)

93×10133-1

c112

name 名前Dmitry Domanov
date 日付November 18, 2014 12:23:53 UTC 2014 年 11 月 18 日 (火) 21 時 23 分 53 秒 (日本時間)
composite number 合成数
1404303573167596057240171514788673219469727671877689034186285392039194845588429301621109505239273609639023369483<112>
prime factors 素因数
1607373267856354173726171825273712849<37>
873663635728135172694520835969381940919627423421986400170073356146996381467<75>
factorization results 素因数分解の結果
N=1404303573167596057240171514788673219469727671877689034186285392039194845588429301621109505239273609639023369483
  ( 112 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1607373267856354173726171825273712849 (pp37)
 r2=873663635728135172694520835969381940919627423421986400170073356146996381467 (pp75)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.09 hours.
Scaled time: 6.29 units (timescale=2.034).
Factorization parameters were as follows:
n: 1404303573167596057240171514788673219469727671877689034186285392039194845588429301621109505239273609639023369483
m: 100000000000000000000000000
deg: 5
c5: 93000
c0: -1
skew: 0.10
# Murphy_E = 3.992e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196660 x 196884
Total sieving time: 2.92 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 3.09 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:09 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 9 秒 (日本時間)

93×10134-1

c112

name 名前Dmitry Domanov
date 日付November 18, 2014 20:11:41 UTC 2014 年 11 月 19 日 (水) 5 時 11 分 41 秒 (日本時間)
composite number 合成数
6563146693274045856725115227060324290737670787907631991582573038807406307132958779089088966750455829110014953493<112>
prime factors 素因数
3239418558643254231504427277190195526783449791683<49>
2026026144649504093518476674477039257010076299535871900719168071<64>
factorization results 素因数分解の結果
N=6563146693274045856725115227060324290737670787907631991582573038807406307132958779089088966750455829110014953493
  ( 112 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=3239418558643254231504427277190195526783449791683 (pp49)
 r2=2026026144649504093518476674477039257010076299535871900719168071 (pp64)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.51 hours.
Scaled time: 5.21 units (timescale=2.080).
Factorization parameters were as follows:
n: 6563146693274045856725115227060324290737670787907631991582573038807406307132958779089088966750455829110014953493
m: 1000000000000000000000000000
deg: 5
c5: 93
c0: -10
skew: 0.64
# Murphy_E = 4.215e-09
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, 1270001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 206580 x 206805
Total sieving time: 2.41 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 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: 2.51 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:10 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 10 秒 (日本時間)

93×10135-1

c125

name 名前Dmitry Domanov
date 日付November 18, 2014 20:43:21 UTC 2014 年 11 月 19 日 (水) 5 時 43 分 21 秒 (日本時間)
composite number 合成数
11074601171357510900255855786737762220480352612952470761723216871159232285742720995904397422721432294212335164678097897317299<125>
prime factors 素因数
180564029839650387146859491681214399248793707948168033<54>
61333373990336246231229722123911163923675635612218759013314544763200403<71>
factorization results 素因数分解の結果
N=11074601171357510900255855786737762220480352612952470761723216871159232285742720995904397422721432294212335164678097897317299
  ( 125 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=180564029839650387146859491681214399248793707948168033 (pp54)
 r2=61333373990336246231229722123911163923675635612218759013314544763200403 (pp71)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.07 hours.
Scaled time: 4.31 units (timescale=2.084).
Factorization parameters were as follows:
n: 11074601171357510900255855786737762220480352612952470761723216871159232285742720995904397422721432294212335164678097897317299
m: 1000000000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 5.467e-09
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, 1120001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 187094 x 187320
Total sieving time: 1.91 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 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: 2.07 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:10 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 10 秒 (日本時間)

93×10136-1

c105

name 名前Dmitry Domanov
date 日付November 19, 2014 11:09:56 UTC 2014 年 11 月 19 日 (水) 20 時 9 分 56 秒 (日本時間)
composite number 合成数
205240619381103402077221062115747415247915585717905845115253585270508913687936196667123452476847520047029<105>
prime factors 素因数
29258750192804925001904092184835668697433157<44>
7014674858927313777553660399196838330928927894707084500024497<61>
factorization results 素因数分解の結果
N=205240619381103402077221062115747415247915585717905845115253585270508913687936196667123452476847520047029
  ( 105 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=29258750192804925001904092184835668697433157 (pp44)
 r2=7014674858927313777553660399196838330928927894707084500024497 (pp61)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.46 hours.
Scaled time: 7.19 units (timescale=2.078).
Factorization parameters were as follows:
n: 205240619381103402077221062115747415247915585717905845115253585270508913687936196667123452476847520047029
m: 1000000000000000000000000000
deg: 5
c5: 930
c0: -1
skew: 0.25
# Murphy_E = 3.514e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 213535 x 213760
Total sieving time: 3.36 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,75000
total time: 3.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:10 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 10 秒 (日本時間)

93×10138-1

c138

name 名前Erik Branger
date 日付November 18, 2014 18:23:46 UTC 2014 年 11 月 19 日 (水) 3 時 23 分 46 秒 (日本時間)
composite number 合成数
171903881700554528650646950092421441774491682070240295748613678373382624768946395563770794824399260628465804066543438077634011090573012939<138>
prime factors 素因数
346134724953310619610730953662674220115881<42>
496638647635663481570999837346590257139848857556801325137936845461307335114976456393857247835219<96>
factorization results 素因数分解の結果
Number: 92999_138
N = 171903881700554528650646950092421441774491682070240295748613678373382624768946395563770794824399260628465804066543438077634011090573012939 (138 digits)
SNFS difficulty: 140 digits.
Divisors found:
r1=346134724953310619610730953662674220115881 (pp42)
r2=496638647635663481570999837346590257139848857556801325137936845461307335114976456393857247835219 (pp96)
Version: Msieve v. 1.51 (SVN 845)
Total time: 3.89 hours.
Factorization parameters were as follows:
n: 171903881700554528650646950092421441774491682070240295748613678373382624768946395563770794824399260628465804066543438077634011090573012939
m: 1000000000000000000000000000
deg: 5
c5: 93000
c0: -1
skew: 0.10
# Murphy_E = 2.619e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4034730
Relations: 361984 relations
Pruned matrix : 228137 x 228365
Polynomial selection time: 0.00 hours.
Total sieving time: 3.81 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,140,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 3.89 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

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

93×10140-1

c118

name 名前Dmitry Domanov
date 日付November 20, 2014 01:06:16 UTC 2014 年 11 月 20 日 (木) 10 時 6 分 16 秒 (日本時間)
composite number 合成数
2588049476309109925535822677622554553121396570435177532993212324567102803487846107742468004431158311531449759618224017<118>
prime factors 素因数
726508245902199383145704569671984212980135002104593<51>
3562312597147736014774288571552017537338764199253674782260648944769<67>
factorization results 素因数分解の結果
N=2588049476309109925535822677622554553121396570435177532993212324567102803487846107742468004431158311531449759618224017
  ( 118 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=726508245902199383145704569671984212980135002104593 (pp51)
 r2=3562312597147736014774288571552017537338764199253674782260648944769 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.42 hours.
Scaled time: 7.28 units (timescale=2.127).
Factorization parameters were as follows:
n: 2588049476309109925535822677622554553121396570435177532993212324567102803487846107742468004431158311531449759618224017
m: 10000000000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 3.572e-09
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1630000/1630000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [815000, 1515001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 223569 x 223794
Total sieving time: 3.31 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1630000,1630000,26,26,48,48,2.3,2.3,100000
total time: 3.42 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:11 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 11 秒 (日本時間)

93×10144-1

c116

name 名前Serge Batalov
date 日付November 18, 2014 06:36:40 UTC 2014 年 11 月 18 日 (火) 15 時 36 分 40 秒 (日本時間)
composite number 合成数
27632813494804557115509236702415441361605406468858653360687386452335954518071651321513010636946920686001547624680689<116>
prime factors 素因数
4204467071746148684607573783791887<34>
6572251137485643201119910368629353294191113503843299812924633060139672660860226047<82>
factorization results 素因数分解の結果
Input number is 27632813494804557115509236702415441361605406468858653360687386452335954518071651321513010636946920686001547624680689 (116 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2347621384
Step 1 took 2240ms
Step 2 took 1736ms
********** Factor found in step 2: 4204467071746148684607573783791887
Found probable prime factor of 34 digits: 4204467071746148684607573783791887
Probable prime cofactor 6572251137485643201119910368629353294191113503843299812924633060139672660860226047 has 82 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:12 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 12 秒 (日本時間)

93×10146-1

c118

name 名前Dmitry Domanov
date 日付November 21, 2014 09:51:40 UTC 2014 年 11 月 21 日 (金) 18 時 51 分 40 秒 (日本時間)
composite number 合成数
8976291671782397043798778238426805751859267413575353349500635453256143013819075531725211025440452456748727721084478047<118>
prime factors 素因数
621173953890173885905594580360105893953054152920273<51>
14450528093728544179985080612859060693263585702524337904945736353839<68>
factorization results 素因数分解の結果
N=8976291671782397043798778238426805751859267413575353349500635453256143013819075531725211025440452456748727721084478047
  ( 118 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=621173953890173885905594580360105893953054152920273 (pp51)
 r2=14450528093728544179985080612859060693263585702524337904945736353839 (pp68)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.95 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8976291671782397043798778238426805751859267413575353349500635453256143013819075531725211025440452456748727721084478047
m: 100000000000000000000000000000
deg: 5
c5: 930
c0: -1
skew: 0.25
# Murphy_E = 1.491e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3


Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 363652 x 363877
Total sieving time: 8.73 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 8.95 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:12 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 12 秒 (日本時間)

93×10147-1

c120

name 名前Dmitry Domanov
date 日付November 21, 2014 22:11:18 UTC 2014 年 11 月 22 日 (土) 7 時 11 分 18 秒 (日本時間)
composite number 合成数
920597238623712367912161044694964519486933112467745954477256713863250598964179358963753180254992107064160684697461729071<120>
prime factors 素因数
916582256156916982009759876090879252129988233<45>
1004380384237012798148566816261663796991474074776061840712994873721207261687<76>
factorization results 素因数分解の結果
N=920597238623712367912161044694964519486933112467745954477256713863250598964179358963753180254992107064160684697461729071
  ( 120 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=916582256156916982009759876090879252129988233 (pp45)
 r2=1004380384237012798148566816261663796991474074776061840712994873721207261687 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.78 hours.
Scaled time: 19.42 units (timescale=1.648).
Factorization parameters were as follows:
n: 920597238623712367912161044694964519486933112467745954477256713863250598964179358963753180254992107064160684697461729071
m: 100000000000000000000000000000
deg: 5
c5: 9300
c0: -1
skew: 0.16
# Murphy_E = 1.395e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 3350001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 300098 x 300323
Total sieving time: 11.47 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 11.78 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:13 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 13 秒 (日本時間)

93×10148-1

c118

name 名前Jane Sullivan
date 日付November 23, 2014 22:27:53 UTC 2014 年 11 月 24 日 (月) 7 時 27 分 53 秒 (日本時間)
composite number 合成数
1657215785712461831368995180905646018643970865289355630698616293427835127336229328027420375403171291617416131459761013<118>
prime factors 素因数
38992548728376247587560017236178079888891<41>
42500832588726052758738116652140341122570296868405862317645886086633048465743<77>
factorization results 素因数分解の結果
11/23/14 13:51:14 v1.34.5 @ JANELT3, scheduler: switching to sieve method
11/23/14 13:51:14 v1.34.5 @ JANELT3, nfs: commencing nfs on c118: 1657215785712461831368995180905646018643970865289355630698616293427835127336229328027420375403171291617416131459761013
11/23/14 13:51:14 v1.34.5 @ JANELT3, nfs: commencing poly selection with 4 threads
11/23/14 13:51:14 v1.34.5 @ JANELT3, nfs: setting deadline of 2587 seconds
11/23/14 14:34:25 v1.34.5 @ JANELT3, nfs: completed 86 ranges of size 250 in 2590.9469 seconds
11/23/14 14:34:25 v1.34.5 @ JANELT3, nfs: best poly = # norm 4.050062e-011 alpha -6.626492 e 4.293e-010 rroots 3
11/23/14 14:34:25 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 14:47:11 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 14:59:39 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 15:12:49 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 15:25:15 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 15:39:29 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 15:52:25 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 16:06:12 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 16:20:56 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 16:35:03 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 16:48:42 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 17:03:01 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 17:17:01 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 17:30:40 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 17:44:38 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 17:58:49 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 18:12:58 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 18:27:49 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 18:42:05 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 18:56:09 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 19:10:43 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 19:25:09 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 19:40:04 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 19:54:18 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 20:08:50 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 20:22:52 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 20:37:49 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 20:54:36 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 21:09:09 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 21:25:09 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 21:39:40 v1.34.5 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/23/14 21:53:33 v1.34.5 @ JANELT3, nfs: commencing msieve filtering
11/23/14 21:56:43 v1.34.5 @ JANELT3, nfs: commencing msieve linear algebra
11/23/14 22:19:53 v1.34.5 @ JANELT3, nfs: commencing msieve sqrt
11/23/14 22:24:50 v1.34.5 @ JANELT3, prp41 = 38992548728376247587560017236178079888891
11/23/14 22:24:50 v1.34.5 @ JANELT3, prp77 = 42500832588726052758738116652140341122570296868405862317645886086633048465743
11/23/14 22:24:50 v1.34.5 @ JANELT3, NFS elapsed time = 30816.8399 seconds.
11/23/14 22:24:50 v1.34.5 @ JANELT3, 
11/23/14 22:24:50 v1.34.5 @ JANELT3, 
11/23/14 22:24:50 v1.34.5 @ JANELT3, Total factoring time = 36553.0221 seconds
software ソフトウェア
yafu-x64 v.1.34.5
execution environment 実行環境
Intel(R) Core(TM) i7-4710MQ CPU @ 2.50GHz,WIN64
Windows 7 Professional

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:13 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 13 秒 (日本時間)

93×10149-1

c127

name 名前Dmitry Domanov
date 日付November 26, 2014 22:05:27 UTC 2014 年 11 月 27 日 (木) 7 時 5 分 27 秒 (日本時間)
composite number 合成数
7123247494674661048788239304587911201684941295771562461979680006201483651814434893619006245185241536041323644279721349270611013<127>
prime factors 素因数
6897283615734810277164880247296940505668693013859176341<55>
1032761285678373172452725919209166594485358025984582734088561836109649393<73>
factorization results 素因数分解の結果
Number: ws
N=7123247494674661048788239304587911201684941295771562461979680006201483651814434893619006245185241536041323644279721349270611013
  ( 127 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=6897283615734810277164880247296940505668693013859176341 (pp55)
 r2=1032761285678373172452725919209166594485358025984582734088561836109649393 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.62 hours.
Scaled time: 20.62 units (timescale=2.144).
Factorization parameters were as follows:
n: 7123247494674661048788239304587911201684941295771562461979680006201483651814434893619006245185241536041323644279721349270611013
m: 500000000000000000000000000000
deg: 5
c5: 1488
c0: -5
skew: 0.32
# Murphy_E = 1.161e-09
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: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 461544 x 461792
Total sieving time: 9.33 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 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: 9.62 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:13 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 13 秒 (日本時間)

93×10150-1

c137

name 名前Dmitry Domanov
date 日付November 26, 2014 20:22:48 UTC 2014 年 11 月 27 日 (木) 5 時 22 分 48 秒 (日本時間)
composite number 合成数
35508200369080745995303561906359317086934420269081567882029702800664746171537144581191259674769108188790554293056546588693415397632529689<137>
prime factors 素因数
45208294739321547231622322988065381978986164349667802535697<59>
785435517394028273327030903053809790056090180770059363602781057911795748793737<78>
factorization results 素因数分解の結果
N=35508200369080745995303561906359317086934420269081567882029702800664746171537144581191259674769108188790554293056546588693415397632529689
  ( 137 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=45208294739321547231622322988065381978986164349667802535697 (pp59)
 r2=785435517394028273327030903053809790056090180770059363602781057911795748793737 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.09 hours.
Scaled time: 17.13 units (timescale=2.117).
Factorization parameters were as follows:
n: 35508200369080745995303561906359317086934420269081567882029702800664746171537144581191259674769108188790554293056546588693415397632529689
m: 1000000000000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 1.501e-09
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, 1800001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 362041 x 362273
Total sieving time: 7.61 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.06 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: 8.09 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:14 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 14 秒 (日本時間)

93×10151-1

c111

name 名前Serge Batalov
date 日付November 18, 2014 06:24:12 UTC 2014 年 11 月 18 日 (火) 15 時 24 分 12 秒 (日本時間)
composite number 合成数
127126048236711315435007589135842563638142421390664145304688178041102695450685075153176495578328511903933481299<111>
prime factors 素因数
216535441768004460885970871538199<33>
587091181003587627382620150384680403310439484155772877006722018320099017636901<78>
factorization results 素因数分解の結果
Input number is 127126048236711315435007589135842563638142421390664145304688178041102695450685075153176495578328511903933481299 (111 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1899458354
Step 1 took 2042ms
Step 2 took 1779ms
********** Factor found in step 2: 216535441768004460885970871538199
Found probable prime factor of 33 digits: 216535441768004460885970871538199
Probable prime cofactor 587091181003587627382620150384680403310439484155772877006722018320099017636901 has 78 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:14 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 14 秒 (日本時間)

93×10152-1

c144

name 名前Dmitry Domanov
date 日付November 24, 2014 20:02:11 UTC 2014 年 11 月 25 日 (火) 5 時 2 分 11 秒 (日本時間)
composite number 合成数
701807565158449712180820306832264242991858528829294545487301413660932091981857344432435471420313653516830979982689421366912274469478141736152867<144>
prime factors 素因数
37132655959717737881942946527885670799<38>
1043707680017813141290900325986926430697998495877969<52>
18108528143779850497859283509456037239242195121625769757<56>
factorization results 素因数分解の結果
N=701807565158449712180820306832264242991858528829294545487301413660932091981857344432435471420313653516830979982689421366912274469478141736152867
  ( 144 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=37132655959717737881942946527885670799 (pp38)
 r2=1043707680017813141290900325986926430697998495877969 (pp52)
 r3=18108528143779850497859283509456037239242195121625769757 (pp56)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 12.89 hours.
Scaled time: 18.96 units (timescale=1.471).
Factorization parameters were as follows:
n: 701807565158449712180820306832264242991858528829294545487301413660932091981857344432435471420313653516830979982689421366912274469478141736152867
m: 1000000000000000000000000000000
deg: 5
c5: 9300
c0: -1
skew: 0.16
# Murphy_E = 9.008e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 456770 x 456997
Total sieving time: 12.37 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 12.89 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:15 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 15 秒 (日本時間)

93×10156-1

c126

name 名前Serge Batalov
date 日付November 18, 2014 06:23:01 UTC 2014 年 11 月 18 日 (火) 15 時 23 分 1 秒 (日本時間)
composite number 合成数
314639300106554780178886059679653355456515842557371829244382373816709674971665810034290237843841932259789974919186044939303297<126>
prime factors 素因数
113283914497600570471654672043<30>
2777440217368363027829988838685527318715696302153692029271200120241399515097490581995391370293379<97>
factorization results 素因数分解の結果
Input number is 314639300106554780178886059679653355456515842557371829244382373816709674971665810034290237843841932259789974919186044939303297 (126 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=610784384
Step 1 took 2522ms
Step 2 took 2086ms
********** Factor found in step 2: 113283914497600570471654672043
Found probable prime factor of 30 digits: 113283914497600570471654672043
Probable prime cofactor 2777440217368363027829988838685527318715696302153692029271200120241399515097490581995391370293379 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:15 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 15 秒 (日本時間)

93×10157-1

c104

name 名前Serge Batalov
date 日付November 19, 2014 05:09:45 UTC 2014 年 11 月 19 日 (水) 14 時 9 分 45 秒 (日本時間)
composite number 合成数
14145858280715693510534249146959299616189330229091982891822943752890059436027099257866525278878364457073<104>
prime factors 素因数
16244752092166234831082054608575112192897<41>
870795577578392321260208303824928414081510579781004210264993009<63>
factorization results 素因数分解の結果
Divisors found:
 r1=16244752092166234831082054608575112192897 (pp41)
 r2=870795577578392321260208303824928414081510579781004210264993009 (pp63)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 2.92 hours.
Scaled time: 7.02 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  14145858280715693510534249146959299616189330229091982891822943752890059436027099257866525278878364457073
skew:  6805677.29
Y0:  -16743228487550794698382457
Y1:  2921504264629
c0:  -126591854351104246729136703240
c1:  -37950393894994326366988
c2:  1024792014687641
c3:  -42522496
c4:  180
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 : 333934 x 334161
Total sieving time: 2.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 2.92 hours.

ECM

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

93×10159-1

c129

name 名前Jo Yeong Uk
date 日付December 7, 2014 11:11:30 UTC 2014 年 12 月 7 日 (日) 20 時 11 分 30 秒 (日本時間)
composite number 合成数
335439405403837524479411100626368506963357229591865484705180010237640208019864232253064670736199609279413173110801553227970766049<129>
prime factors 素因数
109049989029328992391113244036503601236188978350271<51>
3076015031176400238197992756358855052222646596442472042024319529311382376077919<79>
factorization results 素因数分解の結果
Number: 92999_159
N=335439405403837524479411100626368506963357229591865484705180010237640208019864232253064670736199609279413173110801553227970766049
  ( 129 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=109049989029328992391113244036503601236188978350271
 r2=3076015031176400238197992756358855052222646596442472042024319529311382376077919
Version: 
Total time: 10.00 hours.
Scaled time: 52.53 units (timescale=5.253).
Factorization parameters were as follows:
n: 335439405403837524479411100626368506963357229591865484705180010237640208019864232253064670736199609279413173110801553227970766049
m: 100000000000000000000000000000000
deg: 5
c5: 93
c0: -10
skew: 0.64
# Murphy_E = 4.793e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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: 51/51
Sieved rational special-q in [1500000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9251417
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 630235 x 630483
Total sieving time: 9.17 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,51,51,2.4,2.4,75000
total time: 10.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

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

93×10160-1

c145

name 名前Jo Yeong Uk
date 日付December 7, 2014 22:16:05 UTC 2014 年 12 月 8 日 (月) 7 時 16 分 5 秒 (日本時間)
composite number 合成数
5299127131207480252339558660914760021971199235890153025059475596521947294660764463791613625156263298180775499153738767665038791146660331468588151<145>
prime factors 素因数
203587823452633879388373594370012756736269277053127890128541<60>
26028703688363557610344373146830361386297354833924183655202809054168452287472473426211<86>
factorization results 素因数分解の結果
Number: 92999_160
N=5299127131207480252339558660914760021971199235890153025059475596521947294660764463791613625156263298180775499153738767665038791146660331468588151
  ( 145 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=203587823452633879388373594370012756736269277053127890128541
 r2=26028703688363557610344373146830361386297354833924183655202809054168452287472473426211
Version: 
Total time: 7.74 hours.
Scaled time: 40.57 units (timescale=5.240).
Factorization parameters were as follows:
n: 5299127131207480252339558660914760021971199235890153025059475596521947294660764463791613625156263298180775499153738767665038791146660331468588151
m: 100000000000000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 6.182e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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: 51/51
Sieved rational special-q in [1500000, 2625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8769758
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 601101 x 601349
Total sieving time: 7.06 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,51,51,2.4,2.4,75000
total time: 7.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

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

93×10163-1

c133

name 名前Serge Batalov
date 日付November 18, 2014 06:22:45 UTC 2014 年 11 月 18 日 (火) 15 時 22 分 45 秒 (日本時間)
composite number 合成数
6070135188842224050505035934957673691791640879780627812195562479444579502394988611449145012557719280847324202424409633713900413301139<133>
prime factors 素因数
294717072264634338429517768727<30>
20596483068316067485043585090188761222912097356316612416663062221307162748407653773823472910282016093157<104>
factorization results 素因数分解の結果
Input number is 6070135188842224050505035934957673691791640879780627812195562479444579502394988611449145012557719280847324202424409633713900413301139 (133 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1277225431
Step 1 took 2520ms
Step 2 took 2034ms
********** Factor found in step 2: 294717072264634338429517768727
Found probable prime factor of 30 digits: 294717072264634338429517768727
Probable prime cofactor 20596483068316067485043585090188761222912097356316612416663062221307162748407653773823472910282016093157 has 104 digits

ECM

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

93×10166-1

c129

name 名前Cyp
date 日付March 9, 2015 20:07:14 UTC 2015 年 3 月 10 日 (火) 5 時 7 分 14 秒 (日本時間)
composite number 合成数
217143095278748772974125116225900762877063406678119272533456927428668910472224475316917988439432596144284947512861729659130456361<129>
prime factors 素因数
11253523682083615981215458133942841062728423641<47>
19295564786028354971158527291309986977564530057472495301976881367832164454846963921<83>
factorization results 素因数分解の結果
03/09/15 13:36:45 v1.34.3, 
03/09/15 13:36:45 v1.34.3, ****************************
03/09/15 13:36:45 v1.34.3, Starting factorization of 217143095278748772974125116225900762877063406678119272533456927428668910472224475316917988439432596144284947512861729659130456361
03/09/15 13:36:45 v1.34.3, using pretesting plan: none
03/09/15 13:36:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/09/15 13:36:45 v1.34.3, ****************************
03/09/15 13:36:45 v1.34.3, nfs: commencing nfs on c129: 217143095278748772974125116225900762877063406678119272533456927428668910472224475316917988439432596144284947512861729659130456361
03/09/15 13:36:45 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/09/15 13:36:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/09/15 13:37:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
[325 lines snipped]
03/09/15 20:04:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/09/15 20:05:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/09/15 20:06:24 v1.34.3, nfs: commencing msieve filtering
03/09/15 20:07:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/09/15 20:09:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
[16 lines snipped]
03/09/15 20:29:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/09/15 20:30:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/09/15 20:31:18 v1.34.3, nfs: commencing msieve filtering
03/09/15 20:33:30 v1.34.3, nfs: commencing msieve linear algebra
03/09/15 21:05:41 v1.34.3, nfs: commencing msieve sqrt
03/09/15 21:07:13 v1.34.3, prp83 = 19295564786028354971158527291309986977564530057472495301976881367832164454846963921
03/09/15 21:07:13 v1.34.3, prp47 = 11253523682083615981215458133942841062728423641
03/09/15 21:07:13 v1.34.3, NFS elapsed time = 27027.4426 seconds.
03/09/15 21:07:13 v1.34.3, 
03/09/15 21:07:13 v1.34.3, 
03/09/15 21:07:13 v1.34.3, Total factoring time = 27027.4433 seconds
--
Mon Mar  9 20:06:24 2015  
Mon Mar  9 20:06:24 2015  commencing relation filtering
Mon Mar  9 20:06:24 2015  estimated available RAM is 15987.3 MB
Mon Mar  9 20:06:24 2015  commencing duplicate removal, pass 1
Mon Mar  9 20:06:52 2015  found 1915181 hash collisions in 10058360 relations
Mon Mar  9 20:07:00 2015  added 362154 free relations
Mon Mar  9 20:07:00 2015  commencing duplicate removal, pass 2
Mon Mar  9 20:07:09 2015  found 1703684 duplicates and 8716830 unique relations
Mon Mar  9 20:07:09 2015  memory use: 45.3 MB
Mon Mar  9 20:07:09 2015  reading ideals above 100000
Mon Mar  9 20:07:09 2015  commencing singleton removal, initial pass
Mon Mar  9 20:07:48 2015  memory use: 188.2 MB
Mon Mar  9 20:07:48 2015  reading all ideals from disk
Mon Mar  9 20:07:48 2015  memory use: 310.6 MB
Mon Mar  9 20:07:48 2015  keeping 10094666 ideals with weight <= 200, target excess is 44255
Mon Mar  9 20:07:49 2015  commencing in-memory singleton removal
Mon Mar  9 20:07:49 2015  begin with 8716830 relations and 10094666 unique ideals
Mon Mar  9 20:07:52 2015  reduce to 3112191 relations and 3168383 ideals in 18 passes
Mon Mar  9 20:07:52 2015  max relations containing the same ideal: 106
Mon Mar  9 20:31:18 2015  
Mon Mar  9 20:31:18 2015  commencing relation filtering
Mon Mar  9 20:31:18 2015  estimated available RAM is 15987.3 MB
Mon Mar  9 20:31:18 2015  commencing duplicate removal, pass 1
Mon Mar  9 20:31:51 2015  found 2098899 hash collisions in 10924096 relations
Mon Mar  9 20:31:59 2015  added 1706 free relations
Mon Mar  9 20:31:59 2015  commencing duplicate removal, pass 2
Mon Mar  9 20:32:07 2015  found 1843896 duplicates and 9081906 unique relations
Mon Mar  9 20:32:07 2015  memory use: 74.6 MB
Mon Mar  9 20:32:07 2015  reading ideals above 100000
Mon Mar  9 20:32:07 2015  commencing singleton removal, initial pass
Mon Mar  9 20:32:49 2015  memory use: 344.5 MB
Mon Mar  9 20:32:49 2015  reading all ideals from disk
Mon Mar  9 20:32:49 2015  memory use: 323.8 MB
Mon Mar  9 20:32:49 2015  keeping 10251088 ideals with weight <= 200, target excess is 46300
Mon Mar  9 20:32:50 2015  commencing in-memory singleton removal
Mon Mar  9 20:32:50 2015  begin with 9081906 relations and 10251088 unique ideals
Mon Mar  9 20:32:53 2015  reduce to 3576083 relations and 3496064 ideals in 17 passes
Mon Mar  9 20:32:53 2015  max relations containing the same ideal: 109
Mon Mar  9 20:32:54 2015  removing 167089 relations and 153933 ideals in 13156 cliques
Mon Mar  9 20:32:54 2015  commencing in-memory singleton removal
Mon Mar  9 20:32:55 2015  begin with 3408994 relations and 3496064 unique ideals
Mon Mar  9 20:32:56 2015  reduce to 3402718 relations and 3335814 ideals in 8 passes
Mon Mar  9 20:32:56 2015  max relations containing the same ideal: 105
Mon Mar  9 20:32:57 2015  removing 120870 relations and 107714 ideals in 13156 cliques
Mon Mar  9 20:32:57 2015  commencing in-memory singleton removal
Mon Mar  9 20:32:57 2015  begin with 3281848 relations and 3335814 unique ideals
Mon Mar  9 20:32:58 2015  reduce to 3278407 relations and 3224643 ideals in 7 passes
Mon Mar  9 20:32:58 2015  max relations containing the same ideal: 105
Mon Mar  9 20:32:58 2015  relations with 0 large ideals: 1040
Mon Mar  9 20:32:58 2015  relations with 1 large ideals: 269
Mon Mar  9 20:32:58 2015  relations with 2 large ideals: 5017
Mon Mar  9 20:32:58 2015  relations with 3 large ideals: 43911
Mon Mar  9 20:32:58 2015  relations with 4 large ideals: 206856
Mon Mar  9 20:32:58 2015  relations with 5 large ideals: 566277
Mon Mar  9 20:32:58 2015  relations with 6 large ideals: 954134
Mon Mar  9 20:32:58 2015  relations with 7+ large ideals: 1500903
Mon Mar  9 20:32:58 2015  commencing 2-way merge
Mon Mar  9 20:33:00 2015  reduce to 1964849 relation sets and 1911085 unique ideals
Mon Mar  9 20:33:00 2015  commencing full merge
Mon Mar  9 20:33:22 2015  memory use: 236.8 MB
Mon Mar  9 20:33:22 2015  found 998123 cycles, need 993285
Mon Mar  9 20:33:22 2015  weight of 993285 cycles is about 69873253 (70.35/cycle)
Mon Mar  9 20:33:22 2015  distribution of cycle lengths:
Mon Mar  9 20:33:22 2015  1 relations: 119433
Mon Mar  9 20:33:22 2015  2 relations: 122057
Mon Mar  9 20:33:22 2015  3 relations: 117997
Mon Mar  9 20:33:22 2015  4 relations: 103811
Mon Mar  9 20:33:22 2015  5 relations: 90827
Mon Mar  9 20:33:22 2015  6 relations: 76039
Mon Mar  9 20:33:22 2015  7 relations: 63474
Mon Mar  9 20:33:22 2015  8 relations: 53370
Mon Mar  9 20:33:22 2015  9 relations: 44151
Mon Mar  9 20:33:22 2015  10+ relations: 202126
Mon Mar  9 20:33:22 2015  heaviest cycle: 28 relations
Mon Mar  9 20:33:22 2015  commencing cycle optimization
Mon Mar  9 20:33:23 2015  start with 6115136 relations
Mon Mar  9 20:33:29 2015  pruned 147633 relations
Mon Mar  9 20:33:29 2015  memory use: 196.3 MB
Mon Mar  9 20:33:29 2015  distribution of cycle lengths:
Mon Mar  9 20:33:29 2015  1 relations: 119433
Mon Mar  9 20:33:29 2015  2 relations: 124560
Mon Mar  9 20:33:29 2015  3 relations: 122190
Mon Mar  9 20:33:29 2015  4 relations: 106004
Mon Mar  9 20:33:29 2015  5 relations: 92673
Mon Mar  9 20:33:29 2015  6 relations: 76593
Mon Mar  9 20:33:29 2015  7 relations: 63834
Mon Mar  9 20:33:29 2015  8 relations: 52984
Mon Mar  9 20:33:29 2015  9 relations: 43770
Mon Mar  9 20:33:29 2015  10+ relations: 191244
Mon Mar  9 20:33:29 2015  heaviest cycle: 28 relations
Mon Mar  9 20:33:30 2015  RelProcTime: 132
Mon Mar  9 20:33:30 2015  
Mon Mar  9 20:33:30 2015  commencing linear algebra
Mon Mar  9 20:33:31 2015  read 993285 cycles
Mon Mar  9 20:33:32 2015  cycles contain 3222879 unique relations
Mon Mar  9 20:33:45 2015  read 3222879 relations
Mon Mar  9 20:33:48 2015  using 20 quadratic characters above 134217050
Mon Mar  9 20:33:58 2015  building initial matrix
Mon Mar  9 20:34:16 2015  memory use: 390.5 MB
Mon Mar  9 20:34:16 2015  read 993285 cycles
Mon Mar  9 20:34:16 2015  matrix is 993107 x 993285 (298.1 MB) with weight 88274349 (88.87/col)
Mon Mar  9 20:34:16 2015  sparse part has weight 67213155 (67.67/col)
Mon Mar  9 20:34:21 2015  filtering completed in 2 passes
Mon Mar  9 20:34:21 2015  matrix is 992588 x 992766 (298.0 MB) with weight 88256885 (88.90/col)
Mon Mar  9 20:34:21 2015  sparse part has weight 67207722 (67.70/col)
Mon Mar  9 20:34:24 2015  matrix starts at (0, 0)
Mon Mar  9 20:34:24 2015  matrix is 992588 x 992766 (298.0 MB) with weight 88256885 (88.90/col)
Mon Mar  9 20:34:24 2015  sparse part has weight 67207722 (67.70/col)
Mon Mar  9 20:34:24 2015  saving the first 48 matrix rows for later
Mon Mar  9 20:34:25 2015  matrix includes 64 packed rows
Mon Mar  9 20:34:25 2015  matrix is 992540 x 992766 (281.8 MB) with weight 69742897 (70.25/col)
Mon Mar  9 20:34:25 2015  sparse part has weight 63949532 (64.42/col)
Mon Mar  9 20:34:25 2015  using block size 65536 for processor cache size 8192 kB
Mon Mar  9 20:34:27 2015  commencing Lanczos iteration (8 threads)
Mon Mar  9 20:34:27 2015  memory use: 275.4 MB
Mon Mar  9 20:34:33 2015  linear algebra at 0.3%, ETA 0h32m
Mon Mar  9 21:05:40 2015  lanczos halted after 15696 iterations (dim = 992538)
Mon Mar  9 21:05:41 2015  recovered 37 nontrivial dependencies
Mon Mar  9 21:05:41 2015  BLanczosTime: 1931
Mon Mar  9 21:05:41 2015  
Mon Mar  9 21:05:41 2015  commencing square root phase
Mon Mar  9 21:05:41 2015  reading relations for dependency 1
Mon Mar  9 21:05:41 2015  read 496468 cycles
Mon Mar  9 21:05:41 2015  cycles contain 1610132 unique relations
Mon Mar  9 21:05:51 2015  read 1610132 relations
Mon Mar  9 21:05:55 2015  multiplying 1610132 relations
Mon Mar  9 21:06:27 2015  multiply complete, coefficients have about 48.29 million bits
Mon Mar  9 21:06:27 2015  initial square root is modulo 8562431
Mon Mar  9 21:07:13 2015  sqrtTime: 92
--
n: 217143095278748772974125116225900762877063406678119272533456927428668910472224475316917988439432596144284947512861729659130456361
m: 1000000000000000000000000000000000
deg: 5
c5: 930
c0: -1
skew: 0.25
# Murphy_E = 2.523e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:17 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 17 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2015 14:19:36 UTC 2015 年 2 月 10 日 (火) 23 時 19 分 36 秒 (日本時間)
4511e6164 / 3914Pierre JammesDecember 11, 2014 12:49:20 UTC 2014 年 12 月 11 日 (木) 21 時 49 分 20 秒 (日本時間)

93×10169-1

c162

name 名前Cyp
date 日付March 23, 2015 14:35:40 UTC 2015 年 3 月 23 日 (月) 23 時 35 分 40 秒 (日本時間)
composite number 合成数
642487627645115431748601146057962134626897565878351457521283520110623713165071180019464349208174862522207282604029657115593205051126364023772371065999119442381589<162>
prime factors 素因数
1126371061764045977020283152771912138487945394535363086172510969375677308033339<79>
570404948648889182941247608631153170444398205798146114505491966274817409938219296751<84>
factorization results 素因数分解の結果
03/23/15 08:27:22 v1.34.3, 
03/23/15 08:27:22 v1.34.3, ****************************
03/23/15 08:27:22 v1.34.3, Starting factorization of 642487627645115431748601146057962134626897565878351457521283520110623713165071180019464349208174862522207282604029657115593205051126364023772371065999119442381589
03/23/15 08:27:22 v1.34.3, using pretesting plan: none
03/23/15 08:27:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/23/15 08:27:22 v1.34.3, ****************************
03/23/15 08:27:22 v1.34.3, nfs: commencing nfs on c162: 642487627645115431748601146057962134626897565878351457521283520110623713165071180019464349208174862522207282604029657115593205051126364023772371065999119442381589
03/23/15 08:27:22 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
03/23/15 08:27:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/23/15 08:32:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
[68 lines snipped]
03/23/15 14:10:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/23/15 14:15:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/23/15 14:20:42 v1.34.3, nfs: commencing msieve filtering
03/23/15 14:22:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/23/15 14:27:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/23/15 14:32:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/23/15 14:37:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/23/15 14:42:09 v1.34.3, nfs: commencing msieve filtering
03/23/15 14:44:28 v1.34.3, nfs: commencing msieve linear algebra
03/23/15 15:33:46 v1.34.3, nfs: commencing msieve sqrt
03/23/15 15:35:39 v1.34.3, prp84 = 570404948648889182941247608631153170444398205798146114505491966274817409938219296751
03/23/15 15:35:39 v1.34.3, prp79 = 1126371061764045977020283152771912138487945394535363086172510969375677308033339
03/23/15 15:35:39 v1.34.3, NFS elapsed time = 25697.0533 seconds.
03/23/15 15:35:39 v1.34.3, 
03/23/15 15:35:39 v1.34.3, 
03/23/15 15:35:39 v1.34.3, Total factoring time = 25697.0544 seconds
--
Mon Mar 23 14:20:42 2015  
Mon Mar 23 14:20:42 2015  commencing relation filtering
Mon Mar 23 14:20:42 2015  estimated available RAM is 15987.3 MB
Mon Mar 23 14:20:42 2015  commencing duplicate removal, pass 1
Mon Mar 23 14:21:10 2015  found 1364357 hash collisions in 10067547 relations
Mon Mar 23 14:21:20 2015  added 371389 free relations
Mon Mar 23 14:21:20 2015  commencing duplicate removal, pass 2
Mon Mar 23 14:21:28 2015  found 927919 duplicates and 9511017 unique relations
Mon Mar 23 14:21:28 2015  memory use: 41.3 MB
Mon Mar 23 14:21:28 2015  reading ideals above 100000
Mon Mar 23 14:21:28 2015  commencing singleton removal, initial pass
Mon Mar 23 14:22:12 2015  memory use: 344.5 MB
Mon Mar 23 14:22:12 2015  reading all ideals from disk
Mon Mar 23 14:22:13 2015  memory use: 347.5 MB
Mon Mar 23 14:22:13 2015  keeping 10912836 ideals with weight <= 200, target excess is 49219
Mon Mar 23 14:22:14 2015  commencing in-memory singleton removal
Mon Mar 23 14:22:14 2015  begin with 9511017 relations and 10912836 unique ideals
Mon Mar 23 14:22:19 2015  reduce to 3361487 relations and 3442299 ideals in 24 passes
Mon Mar 23 14:22:19 2015  max relations containing the same ideal: 100
Mon Mar 23 14:42:09 2015  
Mon Mar 23 14:42:09 2015  commencing relation filtering
Mon Mar 23 14:42:09 2015  estimated available RAM is 15987.3 MB
Mon Mar 23 14:42:09 2015  commencing duplicate removal, pass 1
Mon Mar 23 14:42:43 2015  found 1526854 hash collisions in 10959811 relations
Mon Mar 23 14:42:51 2015  added 1141 free relations
Mon Mar 23 14:42:51 2015  commencing duplicate removal, pass 2
Mon Mar 23 14:43:00 2015  found 1012783 duplicates and 9948169 unique relations
Mon Mar 23 14:43:00 2015  memory use: 41.3 MB
Mon Mar 23 14:43:00 2015  reading ideals above 100000
Mon Mar 23 14:43:00 2015  commencing singleton removal, initial pass
Mon Mar 23 14:43:45 2015  memory use: 344.5 MB
Mon Mar 23 14:43:45 2015  reading all ideals from disk
Mon Mar 23 14:43:45 2015  memory use: 363.7 MB
Mon Mar 23 14:43:46 2015  keeping 11083375 ideals with weight <= 200, target excess is 51680
Mon Mar 23 14:43:46 2015  commencing in-memory singleton removal
Mon Mar 23 14:43:47 2015  begin with 9948169 relations and 11083375 unique ideals
Mon Mar 23 14:43:52 2015  reduce to 3987932 relations and 3903879 ideals in 25 passes
Mon Mar 23 14:43:52 2015  max relations containing the same ideal: 112
Mon Mar 23 14:43:53 2015  removing 185315 relations and 173263 ideals in 12052 cliques
Mon Mar 23 14:43:53 2015  commencing in-memory singleton removal
Mon Mar 23 14:43:53 2015  begin with 3802617 relations and 3903879 unique ideals
Mon Mar 23 14:43:54 2015  reduce to 3794893 relations and 3722847 ideals in 9 passes
Mon Mar 23 14:43:54 2015  max relations containing the same ideal: 106
Mon Mar 23 14:43:55 2015  removing 133118 relations and 121066 ideals in 12052 cliques
Mon Mar 23 14:43:55 2015  commencing in-memory singleton removal
Mon Mar 23 14:43:56 2015  begin with 3661775 relations and 3722847 unique ideals
Mon Mar 23 14:43:57 2015  reduce to 3657531 relations and 3597514 ideals in 7 passes
Mon Mar 23 14:43:57 2015  max relations containing the same ideal: 105
Mon Mar 23 14:43:57 2015  relations with 0 large ideals: 1181
Mon Mar 23 14:43:57 2015  relations with 1 large ideals: 264
Mon Mar 23 14:43:57 2015  relations with 2 large ideals: 4336
Mon Mar 23 14:43:57 2015  relations with 3 large ideals: 39723
Mon Mar 23 14:43:57 2015  relations with 4 large ideals: 199423
Mon Mar 23 14:43:57 2015  relations with 5 large ideals: 577734
Mon Mar 23 14:43:57 2015  relations with 6 large ideals: 1033884
Mon Mar 23 14:43:57 2015  relations with 7+ large ideals: 1800986
Mon Mar 23 14:43:57 2015  commencing 2-way merge
Mon Mar 23 14:43:59 2015  reduce to 2109713 relation sets and 2049697 unique ideals
Mon Mar 23 14:43:59 2015  ignored 1 oversize relation sets
Mon Mar 23 14:43:59 2015  commencing full merge
Mon Mar 23 14:44:20 2015  memory use: 244.5 MB
Mon Mar 23 14:44:20 2015  found 1052689 cycles, need 1047897
Mon Mar 23 14:44:21 2015  weight of 1047897 cycles is about 73416533 (70.06/cycle)
Mon Mar 23 14:44:21 2015  distribution of cycle lengths:
Mon Mar 23 14:44:21 2015  1 relations: 145391
Mon Mar 23 14:44:21 2015  2 relations: 131056
Mon Mar 23 14:44:21 2015  3 relations: 124103
Mon Mar 23 14:44:21 2015  4 relations: 108756
Mon Mar 23 14:44:21 2015  5 relations: 94292
Mon Mar 23 14:44:21 2015  6 relations: 77839
Mon Mar 23 14:44:21 2015  7 relations: 66055
Mon Mar 23 14:44:21 2015  8 relations: 54337
Mon Mar 23 14:44:21 2015  9 relations: 44764
Mon Mar 23 14:44:21 2015  10+ relations: 201304
Mon Mar 23 14:44:21 2015  heaviest cycle: 28 relations
Mon Mar 23 14:44:21 2015  commencing cycle optimization
Mon Mar 23 14:44:22 2015  start with 6267555 relations
Mon Mar 23 14:44:27 2015  pruned 126910 relations
Mon Mar 23 14:44:27 2015  memory use: 211.1 MB
Mon Mar 23 14:44:27 2015  distribution of cycle lengths:
Mon Mar 23 14:44:27 2015  1 relations: 145391
Mon Mar 23 14:44:27 2015  2 relations: 133618
Mon Mar 23 14:44:27 2015  3 relations: 128028
Mon Mar 23 14:44:27 2015  4 relations: 110594
Mon Mar 23 14:44:27 2015  5 relations: 95810
Mon Mar 23 14:44:27 2015  6 relations: 78195
Mon Mar 23 14:44:27 2015  7 relations: 66076
Mon Mar 23 14:44:27 2015  8 relations: 53948
Mon Mar 23 14:44:27 2015  9 relations: 44110
Mon Mar 23 14:44:27 2015  10+ relations: 192127
Mon Mar 23 14:44:27 2015  heaviest cycle: 27 relations
Mon Mar 23 14:44:28 2015  RelProcTime: 139
Mon Mar 23 14:44:28 2015  
Mon Mar 23 14:44:28 2015  commencing linear algebra
Mon Mar 23 14:44:29 2015  read 1047897 cycles
Mon Mar 23 14:44:30 2015  cycles contain 3579236 unique relations
Mon Mar 23 14:44:44 2015  read 3579236 relations
Mon Mar 23 14:44:47 2015  using 20 quadratic characters above 134217404
Mon Mar 23 14:44:58 2015  building initial matrix
Mon Mar 23 14:45:16 2015  memory use: 429.3 MB
Mon Mar 23 14:45:16 2015  read 1047897 cycles
Mon Mar 23 14:45:16 2015  matrix is 1047719 x 1047897 (314.6 MB) with weight 93243086 (88.98/col)
Mon Mar 23 14:45:16 2015  sparse part has weight 70933333 (67.69/col)
Mon Mar 23 14:45:22 2015  filtering completed in 2 passes
Mon Mar 23 14:45:22 2015  matrix is 1046473 x 1046650 (314.5 MB) with weight 93201474 (89.05/col)
Mon Mar 23 14:45:22 2015  sparse part has weight 70920293 (67.76/col)
Mon Mar 23 14:45:25 2015  matrix starts at (0, 0)
Mon Mar 23 14:45:25 2015  matrix is 1046473 x 1046650 (314.5 MB) with weight 93201474 (89.05/col)
Mon Mar 23 14:45:25 2015  sparse part has weight 70920293 (67.76/col)
Mon Mar 23 14:45:25 2015  saving the first 48 matrix rows for later
Mon Mar 23 14:45:25 2015  matrix includes 64 packed rows
Mon Mar 23 14:45:25 2015  matrix is 1046425 x 1046650 (298.8 MB) with weight 74378871 (71.06/col)
Mon Mar 23 14:45:25 2015  sparse part has weight 67849841 (64.83/col)
Mon Mar 23 14:45:25 2015  using block size 65536 for processor cache size 8192 kB
Mon Mar 23 14:45:27 2015  commencing Lanczos iteration (8 threads)
Mon Mar 23 14:45:27 2015  memory use: 291.8 MB
Mon Mar 23 14:45:32 2015  linear algebra at 0.1%, ETA 0h45m
Mon Mar 23 14:45:33 2015  checkpointing every 1460000 dimensions
Mon Mar 23 15:33:44 2015  lanczos halted after 16549 iterations (dim = 1046420)
Mon Mar 23 15:33:46 2015  recovered 34 nontrivial dependencies
Mon Mar 23 15:33:46 2015  BLanczosTime: 2958
Mon Mar 23 15:33:46 2015  
Mon Mar 23 15:33:46 2015  commencing square root phase
Mon Mar 23 15:33:46 2015  reading relations for dependency 1
Mon Mar 23 15:33:46 2015  read 523200 cycles
Mon Mar 23 15:33:46 2015  cycles contain 1789700 unique relations
Mon Mar 23 15:33:57 2015  read 1789700 relations
Mon Mar 23 15:34:01 2015  multiplying 1789700 relations
Mon Mar 23 15:34:46 2015  multiply complete, coefficients have about 56.52 million bits
Mon Mar 23 15:34:46 2015  initial square root is modulo 130141021
Mon Mar 23 15:35:39 2015  sqrtTime: 113
--
n: 642487627645115431748601146057962134626897565878351457521283520110623713165071180019464349208174862522207282604029657115593205051126364023772371065999119442381589
m: 5000000000000000000000000000000000
deg: 5
c5: 1488
c0: -5
skew: 0.32
# Murphy_E = 1.94e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:18 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 18 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2015 19:05:04 UTC 2015 年 2 月 11 日 (水) 4 時 5 分 4 秒 (日本時間)

93×10170-1

c154

name 名前Ignacio Santos
date 日付February 19, 2015 21:55:21 UTC 2015 年 2 月 20 日 (金) 6 時 55 分 21 秒 (日本時間)
composite number 合成数
6406855724708664753246808877611404208093276500564534120429637037168816875234313816856131577747583603200315074909583113601600119674114434712973315832894677<154>
prime factors 素因数
393221496810165717809555945634287849<36>
16293248911062667473718062255131299127624676971023144397757164134618771419241917200619412114037774583461683471327023373<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4036303817
Step 1 took 10438ms
Step 2 took 6500ms
********** Factor found in step 2: 393221496810165717809555945634287849
Found probable prime factor of 36 digits: 393221496810165717809555945634287849
Probable prime cofactor 16293248911062667473718062255131299127624676971023144397757164134618771419241917200619412114037774583461683471327023373 has 119 digits
software ソフトウェア
GMP-ECM 7.0

ECM

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

93×10172-1

c161

name 名前Serge Batalov
date 日付November 18, 2014 06:34:58 UTC 2014 年 11 月 18 日 (火) 15 時 34 分 58 秒 (日本時間)
composite number 合成数
33153489240731596614848766812474343214057028744659740489040126921328234804625149753076026488801707750063794714040276723940738855374218749013745718626994333088677<161>
prime factors 素因数
71294764840371626644640599815771211<35>
465019967664694281984459046482192329580646285830431775215678511250732085365712324670119387016622986737290922219330673355168207<126>
factorization results 素因数分解の結果
Input number is 33153489240731596614848766812474343214057028744659740489040126921328234804625149753076026488801707750063794714040276723940738855374218749013745718626994333088677 (161 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2737746799
Step 1 took 4445ms
Step 2 took 3570ms
********** Factor found in step 2: 71294764840371626644640599815771211
Found probable prime factor of 35 digits: 71294764840371626644640599815771211
Probable prime cofactor 465019967664694281984459046482192329580646285830431775215678511250732085365712324670119387016622986737290922219330673355168207 has 126 digits

ECM

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

93×10174-1

c134

name 名前Jo Yeong Uk
date 日付May 11, 2015 21:58:42 UTC 2015 年 5 月 12 日 (火) 6 時 58 分 42 秒 (日本時間)
composite number 合成数
21329409672447108596610828567412433211287659839550286684112837788343575739795380123753304973543021227996055906357963839181379401799569<134>
prime factors 素因数
104987716205902221865335532419135818511095381246076723277<57>
203161002479716834583278205881102336125929136554077516327341597081114041882197<78>
factorization results 素因数分解の結果
Number: 92999_174
N=21329409672447108596610828567412433211287659839550286684112837788343575739795380123753304973543021227996055906357963839181379401799569
  ( 134 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=104987716205902221865335532419135818511095381246076723277
 r2=203161002479716834583278205881102336125929136554077516327341597081114041882197
Version: 
Total time: 35.42 hours.
Scaled time: 186.26 units (timescale=5.258).
Factorization parameters were as follows:
n: 21329409672447108596610828567412433211287659839550286684112837788343575739795380123753304973543021227996055906357963839181379401799569
m: 100000000000000000000000000000000000
deg: 5
c5: 93
c0: -10
skew: 0.64
# Murphy_E = 1.226e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18204830
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1394193 x 1394441
Total sieving time: 31.18 hours.
Total relation processing time: 1.80 hours.
Matrix solve time: 2.28 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 35.42 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400094)
Total of 12 processors activated (81602.25 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:19 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 19 秒 (日本時間)
403e60--
4511e64800CypApril 1, 2015 05:47:16 UTC 2015 年 4 月 1 日 (水) 14 時 47 分 16 秒 (日本時間)

93×10175-1

c140

name 名前Jo Yeong Uk
date 日付May 22, 2015 23:02:23 UTC 2015 年 5 月 23 日 (土) 8 時 2 分 23 秒 (日本時間)
composite number 合成数
71979731578909799694941545563897493513018626616132450555059426703414263369040432084430883337948107803946459492922876666353066052902646600213<140>
prime factors 素因数
12195365638346555112535325600059379262899916930979<50>
5902220049276750939638878101955048666990146396286413916595508854041974327820910469267759847<91>
factorization results 素因数分解の結果
Number: 92999_175
N=71979731578909799694941545563897493513018626616132450555059426703414263369040432084430883337948107803946459492922876666353066052902646600213
  ( 140 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=12195365638346555112535325600059379262899916930979
 r2=5902220049276750939638878101955048666990146396286413916595508854041974327820910469267759847
Version: 
Total time: 28.44 hours.
Scaled time: 149.33 units (timescale=5.250).
Factorization parameters were as follows:
n: 71979731578909799694941545563897493513018626616132450555059426703414263369040432084430883337948107803946459492922876666353066052902646600213
m: 100000000000000000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 1.575e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18069806
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1216630 x 1216878
Total sieving time: 25.29 hours.
Total relation processing time: 1.45 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 28.44 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:19 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 19 秒 (日本時間)
403e60--
4511e6800 / 4434CypApril 3, 2015 14:33:36 UTC 2015 年 4 月 3 日 (金) 23 時 33 分 36 秒 (日本時間)

93×10177-1

c137

name 名前Jo Yeong Uk
date 日付October 21, 2015 11:22:51 UTC 2015 年 10 月 21 日 (水) 20 時 22 分 51 秒 (日本時間)
composite number 合成数
87889092257449765823807237095111767143529539514428049306844698779905266926550751079499475124799618288137350705145380025687304489244331167<137>
prime factors 素因数
62593046024855218277613654150881456017905594472340570699<56>
1404135089104781411226598514935271092646353326820883910303295886763169890059831933<82>
factorization results 素因数分解の結果
Number: 92999_177
N=87889092257449765823807237095111767143529539514428049306844698779905266926550751079499475124799618288137350705145380025687304489244331167
  ( 137 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=62593046024855218277613654150881456017905594472340570699
 r2=1404135089104781411226598514935271092646353326820883910303295886763169890059831933
Version: 
Total time: 47.67 hours.
Scaled time: 250.25 units (timescale=5.250).
Factorization parameters were as follows:
n: 87889092257449765823807237095111767143529539514428049306844698779905266926550751079499475124799618288137350705145380025687304489244331167
m: 100000000000000000000000000000000000
deg: 5
c5: 9300
c0: -1
skew: 0.16
# Murphy_E = 9.407e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4500000, 9600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18928444
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1502754 x 1503002
Total sieving time: 42.34 hours.
Total relation processing time: 2.42 hours.
Matrix solve time: 2.78 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,53,53,2.5,2.5,100000
total time: 47.67 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:20 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 20 秒 (日本時間)
403e60--
4511e6601 / 4434KTakahashiApril 30, 2015 09:39:47 UTC 2015 年 4 月 30 日 (木) 18 時 39 分 47 秒 (日本時間)

93×10178-1

c162

name 名前Jo Yeong Uk
date 日付November 18, 2015 23:48:57 UTC 2015 年 11 月 19 日 (木) 8 時 48 分 57 秒 (日本時間)
composite number 合成数
559632960086277850220279848176397688566096225759247782358717986577791804973273113868777627199763671799371911117834157185860452869592708979944915607026408787629347<162>
prime factors 素因数
356901213222517984611697771015754551819415145419202578372662537981<66>
1568033224189020218795268163013402526589121356675071994559845975336428068627176465860959563325087<97>
factorization results 素因数分解の結果
Number: 92999_178
N=559632960086277850220279848176397688566096225759247782358717986577791804973273113868777627199763671799371911117834157185860452869592708979944915607026408787629347
  ( 162 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=356901213222517984611697771015754551819415145419202578372662537981
 r2=1568033224189020218795268163013402526589121356675071994559845975336428068627176465860959563325087
Version: 
Total time: 57.68 hours.
Scaled time: 298.40 units (timescale=5.173).
Factorization parameters were as follows:
n: 559632960086277850220279848176397688566096225759247782358717986577791804973273113868777627199763671799371911117834157185860452869592708979944915607026408787629347
m: 200000000000000000000000000000000000
deg: 5
c5: 11625
c0: -4
skew: 0.20
# Murphy_E = 7.457e-11
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2700000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18148118
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1329131 x 1329378
Total sieving time: 54.24 hours.
Total relation processing time: 1.31 hours.
Matrix solve time: 2.02 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000
total time: 57.68 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:20 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 20 秒 (日本時間)
403e60--
4511e6601 / 44341KTakahashiMay 7, 2015 20:51:05 UTC 2015 年 5 月 8 日 (金) 5 時 51 分 5 秒 (日本時間)
600KTakahashiMay 11, 2015 18:17:55 UTC 2015 年 5 月 12 日 (火) 3 時 17 分 55 秒 (日本時間)

93×10179-1

c181

name 名前Serge Batalov
date 日付December 1, 2014 11:13:10 UTC 2014 年 12 月 1 日 (月) 20 時 13 分 10 秒 (日本時間)
composite number 合成数
9299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<181>
prime factors 素因数
2015005754352876119612780978872203027109035544433910742878509686486114969<73>
4615371434999557642675437991100679192596498611638737035137173448112935881953594718296002484064661588070198871<109>
factorization results 素因数分解の結果
Mon Dec  1 03:12:00 2014  prp73 factor: 2015005754352876119612780978872203027109035544433910742878509686486114969
Mon Dec  1 03:12:00 2014  prp109 factor: 4615371434999557642675437991100679192596498611638737035137173448112935881953594718296002484064661588070198871
software ソフトウェア
Msieve v. 1.52 (SVN 923M)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:21 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 21 秒 (日本時間)
403e62000Serge BatalovNovember 25, 2014 22:30:21 UTC 2014 年 11 月 26 日 (水) 7 時 30 分 21 秒 (日本時間)
4511e62000 / 3991Serge BatalovNovember 25, 2014 22:30:21 UTC 2014 年 11 月 26 日 (水) 7 時 30 分 21 秒 (日本時間)

93×10180-1

c182

name 名前Dmitry Domanov
date 日付November 22, 2014 17:01:23 UTC 2014 年 11 月 23 日 (日) 2 時 1 分 23 秒 (日本時間)
composite number 合成数
92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<182>
prime factors 素因数
32520338610454990842120063639054458704433641704104086811650605612611<68>
2859748821007089768296792192844920951335057544241990875182255993573107646761936419963254870386600982519753069871509<115>
factorization results 素因数分解の結果
N=92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 182 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=32520338610454990842120063639054458704433641704104086811650605612611 (pp68)
 r2=2859748821007089768296792192844920951335057544241990875182255993573107646761936419963254870386600982519753069871509 (pp115)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 88.10 hours.
Scaled time: 168.80 units (timescale=1.916).
Factorization parameters were as follows:
n: 92999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 1000000000000000000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 9.896e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 200000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 8550001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1444959 x 1445191
Total sieving time: 84.55 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.48 hours.
Time per square root: 0.80 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 88.10 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:21 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 21 秒 (日本時間)

93×10182-1

c155

name 名前Jo Yeong Uk
date 日付March 18, 2016 12:36:48 UTC 2016 年 3 月 18 日 (金) 21 時 36 分 48 秒 (日本時間)
composite number 合成数
58698224619449460434374956208222141135447901723547765429842351200155410389702419403103795959348732126890507395154800258072501054503048060793779200944772701<155>
prime factors 素因数
6843345232011365887352705443265842579155386807797510129116802031577173<70>
8577416837729394634875279512187628675514792311112436208233752216238784008559631900137<85>
factorization results 素因数分解の結果
Number: 92999_182
N=58698224619449460434374956208222141135447901723547765429842351200155410389702419403103795959348732126890507395154800258072501054503048060793779200944772701
  ( 155 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=6843345232011365887352705443265842579155386807797510129116802031577173
 r2=8577416837729394634875279512187628675514792311112436208233752216238784008559631900137
Version: 
Total time: 71.74 hours.
Scaled time: 368.72 units (timescale=5.140).
Factorization parameters were as follows:
n: 58698224619449460434374956208222141135447901723547765429842351200155410389702419403103795959348732126890507395154800258072501054503048060793779200944772701
m: 1000000000000000000000000000000000000
deg: 5
c5: 9300
c0: -1
skew: 0.16
# Murphy_E = 5.904e-11
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18795454
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1431529 x 1431777
Total sieving time: 67.44 hours.
Total relation processing time: 1.64 hours.
Matrix solve time: 2.42 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 71.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914)
Total of 12 processors activated (81597.93 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:21 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 21 秒 (日本時間)
403e60--
4511e6601 / 4434CypJanuary 31, 2015 01:39:41 UTC 2015 年 1 月 31 日 (土) 10 時 39 分 41 秒 (日本時間)

93×10183-1

c145

name 名前KTakahashi
date 日付May 28, 2015 19:55:47 UTC 2015 年 5 月 29 日 (金) 4 時 55 分 47 秒 (日本時間)
composite number 合成数
2360943585887257407914155717496689922466123857488276806129267835808762471659684621200328939952430043389866308444775810298776225947436998354059719<145>
prime factors 素因数
5358245830682593878474523200217098767723<40>
440618751078558436667852921508176494058093418324831490382699893931643568503535741856757636140561194104853<105>
factorization results 素因数分解の結果
Input number is 2360943585887257407914155717496689922466123857488276806129267835808762471659684621200328939952430043389866308444775810298776225947436998354059719 (145 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2621828509
Step 1 took 45085ms
Step 2 took 18361ms
********** Factor found in step 2: 5358245830682593878474523200217098767723
Found probable prime factor of 40 digits: 5358245830682593878474523200217098767723
Probable prime cofactor 440618751078558436667852921508176494058093418324831490382699893931643568503535741856757636140561194104853 has 105 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:22 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 22 秒 (日本時間)

93×10184-1

c149

name 名前Jo Yeong Uk
date 日付June 21, 2016 00:48:00 UTC 2016 年 6 月 21 日 (火) 9 時 48 分 0 秒 (日本時間)
composite number 合成数
22755944328426892467985049621358259894882106698903730675922543284901132400881496880180500508578837462777485917535112998035078934635895562605642066967<149>
prime factors 素因数
44575848408364308544794971968869416639184858947791587279559<59>
510499410352376330494292364565448801645899334302046361268230559264845057305896758721035313<90>
factorization results 素因数分解の結果
Number: 92999_184
N=22755944328426892467985049621358259894882106698903730675922543284901132400881496880180500508578837462777485917535112998035078934635895562605642066967
  ( 149 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=44575848408364308544794971968869416639184858947791587279559
 r2=510499410352376330494292364565448801645899334302046361268230559264845057305896758721035313
Version: 
Total time: 80.34 hours.
Scaled time: 421.96 units (timescale=5.252).
Factorization parameters were as follows:
n: 22755944328426892467985049621358259894882106698903730675922543284901132400881496880180500508578837462777485917535112998035078934635895562605642066967
m: 10000000000000000000000000000000000000
deg: 5
c5: 93
c0: -10
skew: 0.64
# Murphy_E = 4.827e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20679684
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1607195 x 1607443
Total sieving time: 74.95 hours.
Total relation processing time: 2.07 hours.
Matrix solve time: 3.22 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 80.34 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:22 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 22 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 2, 2014 16:59:12 UTC 2014 年 12 月 3 日 (水) 1 時 59 分 12 秒 (日本時間)

93×10185-1

c174

name 名前Jo Yeong Uk
date 日付August 21, 2016 11:52:41 UTC 2016 年 8 月 21 日 (日) 20 時 52 分 41 秒 (日本時間)
composite number 合成数
203912373896294504172526333947174274887853587675430268417885512049551100361022525044971284933682916452745529882838453260446418291889885963132305674642656528551011099715030871<174>
prime factors 素因数
178816407269906916818819358886620159330085292052305765806381867930962319164851<78>
1140344876678500392853187731122739275712794990856118161322423217283491646075519298846851940419021<97>
factorization results 素因数分解の結果
Number: 92999_185
N=203912373896294504172526333947174274887853587675430268417885512049551100361022525044971284933682916452745529882838453260446418291889885963132305674642656528551011099715030871
  ( 174 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=178816407269906916818819358886620159330085292052305765806381867930962319164851
 r2=1140344876678500392853187731122739275712794990856118161322423217283491646075519298846851940419021
Version: 
Total time: 65.51 hours.
Scaled time: 334.58 units (timescale=5.107).
Factorization parameters were as follows:
n: 203912373896294504172526333947174274887853587675430268417885512049551100361022525044971284933682916452745529882838453260446418291889885963132305674642656528551011099715030871
m: 10000000000000000000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 6.189e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19766512
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1645727 x 1645975
Total sieving time: 59.83 hours.
Total relation processing time: 1.50 hours.
Matrix solve time: 3.49 hours.
Time per square root: 0.69 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 65.51 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:23 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 23 秒 (日本時間)
403e60--
4511e6601KTakahashiJuly 3, 2015 09:44:48 UTC 2015 年 7 月 3 日 (金) 18 時 44 分 48 秒 (日本時間)
5043e62000 / 7413Rich DickersonAugust 10, 2016 14:17:39 UTC 2016 年 8 月 10 日 (水) 23 時 17 分 39 秒 (日本時間)

93×10186-1

c169

name 名前Jo Yeong Uk
date 日付November 17, 2016 06:01:46 UTC 2016 年 11 月 17 日 (木) 15 時 1 分 46 秒 (日本時間)
composite number 合成数
1207265094543128426796384231926776273529211895952466725835947383956999960928055117037789855056133037513867550336495720311399070333118859136801047012034381332672145773127<169>
prime factors 素因数
5315171546950420360899930166556316332117102952444638553952917982324419352166632817<82>
227135678289781026281660508387434558490435775517176393862940534468842494442859258437431<87>
factorization results 素因数分解の結果
Number: 92999_186
N=1207265094543128426796384231926776273529211895952466725835947383956999960928055117037789855056133037513867550336495720311399070333118859136801047012034381332672145773127
  ( 169 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=5315171546950420360899930166556316332117102952444638553952917982324419352166632817
 r2=227135678289781026281660508387434558490435775517176393862940534468842494442859258437431
Version: 
Total time: 100.58 hours.
Scaled time: 501.48 units (timescale=4.986).
Factorization parameters were as follows:
n: 1207265094543128426796384231926776273529211895952466725835947383956999960928055117037789855056133037513867550336495720311399070333118859136801047012034381332672145773127
m: 10000000000000000000000000000000000000
deg: 5
c5: 930
c0: -1
skew: 0.25
# Murphy_E = 3.959e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21138426
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1777769 x 1778017
Total sieving time: 93.39 hours.
Total relation processing time: 2.54 hours.
Matrix solve time: 4.51 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 100.58 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367844k/51380224k available (5460k kernel code, 1086464k absent, 925916k reserved, 6959k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve 1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:23 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 23 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 19, 2015 17:44:18 UTC 2015 年 6 月 20 日 (土) 2 時 44 分 18 秒 (日本時間)

93×10189-1

c139

name 名前Serge Batalov
date 日付November 18, 2014 06:38:14 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 14 秒 (日本時間)
composite number 合成数
9959380190163089253397741119841607234750495272936208915675562919278798008081827306290114492098075421326045286421716423970617405498310007327<139>
prime factors 素因数
350815097613640525146146675584123<33>
28389257640021946622968216091940425492412321597671372740090051720734608880434507094794749964139549489951149<107>
factorization results 素因数分解の結果
Input number is 9959380190163089253397741119841607234750495272936208915675562919278798008081827306290114492098075421326045286421716423970617405498310007327 (139 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3304028489
Step 1 took 3174ms
Step 2 took 2229ms
********** Factor found in step 2: 350815097613640525146146675584123
Found probable prime factor of 33 digits: 350815097613640525146146675584123
Probable prime cofactor 28389257640021946622968216091940425492412321597671372740090051720734608880434507094794749964139549489951149 has 107 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:24 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 24 秒 (日本時間)

93×10190-1

c189

name 名前Serge Batalov
date 日付November 20, 2014 16:14:41 UTC 2014 年 11 月 21 日 (金) 1 時 14 分 41 秒 (日本時間)
composite number 合成数
998925886143931256713211600429645542427497314715359828141783029001074113856068743286788399570354457572502685284640171858216970998925886143931256713211600429645542427497314715359828141783029<189>
prime factors 素因数
96782209481718540258700428834627456485593710424654556466178235118322340962238513482747891<89>
10321379223447271427104055976969279827148227156016915459801129522146845957473604500359647547279424119<101>
factorization results 素因数分解の結果
prp89 factor: 96782209481718540258700428834627456485593710424654556466178235118322340962238513482747891
prp101 factor: 10321379223447271427104055976969279827148227156016915459801129522146845957473604500359647547279424119

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:24 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 24 秒 (日本時間)
403e60--
4511e64500Serge BatalovNovember 20, 2014 02:30:28 UTC 2014 年 11 月 20 日 (木) 11 時 30 分 28 秒 (日本時間)

93×10193-1

c182

name 名前Jo Yeong Uk
date 日付June 1, 2017 10:52:56 UTC 2017 年 6 月 1 日 (木) 19 時 52 分 56 秒 (日本時間)
composite number 合成数
17735720102027160366346395006761360897904595133078484484878225564004487622462805471195087279294438187308560476575765323551719331176851215476355317815834558166534687399729186958457157<182>
prime factors 素因数
1373697584122328663639828440980974077882038209541506981254663945721<67>
12910934915386575326324774085374416454577142964663174922125722206108231136718015435395393253957926228252297681311917<116>
factorization results 素因数分解の結果
Number: 92999_193
N=17735720102027160366346395006761360897904595133078484484878225564004487622462805471195087279294438187308560476575765323551719331176851215476355317815834558166534687399729186958457157
  ( 182 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=1373697584122328663639828440980974077882038209541506981254663945721
 r2=12910934915386575326324774085374416454577142964663174922125722206108231136718015435395393253957926228252297681311917
Version: 
Total time: 199.66 hours.
Scaled time: 1050.03 units (timescale=5.259).
Factorization parameters were as follows:
n: 17735720102027160366346395006761360897904595133078484484878225564004487622462805471195087279294438187308560476575765323551719331176851215476355317815834558166534687399729186958457157
m: 200000000000000000000000000000000000000
deg: 5
c5: 11625
c0: -4
skew: 0.20
# Murphy_E = 1.818e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 14400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23966248
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2456515 x 2456763
Total sieving time: 183.33 hours.
Total relation processing time: 5.50 hours.
Matrix solve time: 10.06 hours.
Time per square root: 0.78 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 199.66 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367836k/51380224k available (5467k kernel code, 1086464k absent, 925924k reserved, 6954k data, 1316k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.09 BogoMIPS (lpj=3400049)
Total of 12 processors activated (81601.17 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:24 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 24 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 5, 2014 11:28:06 UTC 2014 年 12 月 5 日 (金) 20 時 28 分 6 秒 (日本時間)

93×10194-1

c170

name 名前Serge Batalov
date 日付November 18, 2014 06:35:13 UTC 2014 年 11 月 18 日 (火) 15 時 35 分 13 秒 (日本時間)
composite number 合成数
91572318839316548110663621788932095025065719756173752534050246630828533626490320017847196874171155142683248259793151909778237228938865243262668189551113542066539515883709<170>
prime factors 素因数
5849613447406728262365563370447677<34>
composite cofactor 合成数の残り
15654422238774208041297631369085458177687228704923473415191760901618998603132542445123346728945727675094676978244308252900767480099871617<137>
factorization results 素因数分解の結果
Input number is 91572318839316548110663621788932095025065719756173752534050246630828533626490320017847196874171155142683248259793151909778237228938865243262668189551113542066539515883709 (170 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3487278742
Step 1 took 4444ms
Step 2 took 3722ms
********** Factor found in step 2: 5849613447406728262365563370447677
Found probable prime factor of 34 digits: 5849613447406728262365563370447677
Composite cofactor 15654422238774208041297631369085458177687228704923473415191760901618998603132542445123346728945727675094676978244308252900767480099871617 has 137 digits

c137

name 名前Erik Branger
date 日付December 6, 2014 08:53:39 UTC 2014 年 12 月 6 日 (土) 17 時 53 分 39 秒 (日本時間)
composite number 合成数
15654422238774208041297631369085458177687228704923473415191760901618998603132542445123346728945727675094676978244308252900767480099871617<137>
prime factors 素因数
35131027407457566574432406589308555601495181<44>
445601036861538203783547798257207191450542828710998674670943161561081809129325957496486332357<93>
factorization results 素因数分解の結果
Number: 92999_194
N = 15654422238774208041297631369085458177687228704923473415191760901618998603132542445123346728945727675094676978244308252900767480099871617 (137 digits)
Divisors found:
r1=35131027407457566574432406589308555601495181 (pp44)
r2=445601036861538203783547798257207191450542828710998674670943161561081809129325957496486332357 (pp93)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 128.75 hours.
Factorization parameters were as follows:
# Murphy_E = 3.309e-11, selected by Erik Branger
# expecting poly E from 3.50e-011 to > 4.02e-011
n: 15654422238774208041297631369085458177687228704923473415191760901618998603132542445123346728945727675094676978244308252900767480099871617
Y0: -292528080418186404648495955
Y1: 162932457565303
c0: -33713474803097252349306484252656
c1: 2363731052065081086231952620
c2: -12335930162541205571744
c3: -30773872409092453
c4: 21100581040
c5: 7308
skew: 675043.56
type: gnfs
# selected mechanically
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22731290
Relations: 3727786 relations
Pruned matrix : 2248894 x 2249122
Polynomial selection time: 0.00 hours.
Total sieving time: 125.23 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.30 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14400000,14400000,28,28,55,55,2.6,2.6,100000
total time: 128.75 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:25 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 25 秒 (日本時間)
403e60--
4511e6700 / 4434Erik BrangerNovember 20, 2014 18:32:35 UTC 2014 年 11 月 21 日 (金) 3 時 32 分 35 秒 (日本時間)

93×10196-1

c164

name 名前Jo Yeong Uk
date 日付August 27, 2017 11:58:49 UTC 2017 年 8 月 27 日 (日) 20 時 58 分 49 秒 (日本時間)
composite number 合成数
31931010035954586995725150798346327600898892961844610280443128280431777677047911581072638178673800032725526048903190173528697091320571619132006175613079057720338197<164>
prime factors 素因数
23788734178037353467376037439619778051011553<44>
15666288594208372830101014292481708058006373368481<50>
85679160055408350138434669781205166158024580638445268940473857751175829<71>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 31931010035954586995725150798346327600898892961844610280443128280431777677047911581072638178673800032725526048903190173528697091320571619132006175613079057720338197 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1568809302
Step 1 took 29994ms
Step 2 took 9926ms
********** Factor found in step 2: 23788734178037353467376037439619778051011553
Found probable prime factor of 44 digits: 23788734178037353467376037439619778051011553
Composite cofactor 1342274447937397452847540602664851591129790564267223488271331460264061994082391718569637498084944008154325903569237645749 has 121 digits

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 1342274447937397452847540602664851591129790564267223488271331460264061994082391718569637498084944008154325903569237645749 (121 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4576096898
Step 1 took 20054ms
Step 2 took 7485ms
********** Factor found in step 2: 15666288594208372830101014292481708058006373368481
Found probable prime factor of 50 digits: 15666288594208372830101014292481708058006373368481
Probable prime cofactor 85679160055408350138434669781205166158024580638445268940473857751175829 has 71 digits
execution environment 実行環境
Core i7_4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:25 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 25 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 26, 2015 06:05:06 UTC 2015 年 6 月 26 日 (金) 15 時 5 分 6 秒 (日本時間)

93×10198-1

c173

name 名前Jo Yeong Uk
date 日付July 21, 2017 14:13:07 UTC 2017 年 7 月 21 日 (金) 23 時 13 分 7 秒 (日本時間)
composite number 合成数
78704193014908227003312113392686938274271021908802529966730185246036758961305354214230818623207447279137655030319653806996553221828489530775402126474433358464586405463587683<173>
prime factors 素因数
7645387125960611303159181633574222378027<40>
10294337188977774665798646085253447616598669032563119990941289871199270056156564242512006039233102166140581186486223917125716935778729<134>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 78704193014908227003312113392686938274271021908802529966730185246036758961305354214230818623207447279137655030319653806996553221828489530775402126474433358464586405463587683 (173 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5257180480
Step 1 took 30104ms
Step 2 took 9858ms
********** Factor found in step 2: 7645387125960611303159181633574222378027
Found probable prime factor of 40 digits: 7645387125960611303159181633574222378027
Probable prime cofactor 10294337188977774665798646085253447616598669032563119990941289871199270056156564242512006039233102166140581186486223917125716935778729 has 134 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:26 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 26 秒 (日本時間)
403e60--
4511e6601 / 4434CypNovember 30, 2014 02:04:50 UTC 2014 年 11 月 30 日 (日) 11 時 4 分 50 秒 (日本時間)

93×10199-1

c197

name 名前Jo Yeong Uk
date 日付May 29, 2018 00:21:18 UTC 2018 年 5 月 29 日 (火) 9 時 21 分 18 秒 (日本時間)
composite number 合成数
22756747497981256270340372427631095994323047935987471554065627523429662074534465461130007096190080015660557417965595712922406831918173587491129762399980424303227543005358846991460102283015636087797<197>
prime factors 素因数
26782000216885637469758322694631574895927938398428939603486486605799<68>
849703058535317256362658454121224267342450853764472015240935088213550454126182623760416259061230923837298655565725808359759409603<129>
factorization results 素因数分解の結果
Number: 92999_199
N=22756747497981256270340372427631095994323047935987471554065627523429662074534465461130007096190080015660557417965595712922406831918173587491129762399980424303227543005358846991460102283015636087797
  ( 197 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=26782000216885637469758322694631574895927938398428939603486486605799
 r2=849703058535317256362658454121224267342450853764472015240935088213550454126182623760416259061230923837298655565725808359759409603
Version: 
Total time: 264.59 hours.
Scaled time: 1379.30 units (timescale=5.213).
Factorization parameters were as follows:
n: 22756747497981256270340372427631095994323047935987471554065627523429662074534465461130007096190080015660557417965595712922406831918173587491129762399980424303227543005358846991460102283015636087797
m: 10000000000000000000000000000000000000000
deg: 5
c5: 93
c0: -10
skew: 0.64
# Murphy_E = 1.155e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 17900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39026746
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3357538 x 3357784
Total sieving time: 237.84 hours.
Total relation processing time: 5.09 hours.
Matrix solve time: 21.09 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 264.59 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:26 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 26 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:28 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 28 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:27 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 27 秒 (日本時間)

93×10200-1

c146

name 名前Serge Batalov
date 日付November 18, 2014 06:38:07 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 7 秒 (日本時間)
composite number 合成数
12008373333498142581693692828571578139128784468558614804166909639433445973925503328564197852152099598624129341674032864380885586294711136150123553<146>
prime factors 素因数
110792987822643711000662881486009<33>
108385680082218060422246722447489484565927946273242035764754654997841383117098431882600358822721207018152716584617<114>
factorization results 素因数分解の結果
Input number is 12008373333498142581693692828571578139128784468558614804166909639433445973925503328564197852152099598624129341674032864380885586294711136150123553 (146 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2053217026
Step 1 took 3045ms
Step 2 took 2242ms
********** Factor found in step 2: 110792987822643711000662881486009
Found probable prime factor of 33 digits: 110792987822643711000662881486009
Probable prime cofactor 108385680082218060422246722447489484565927946273242035764754654997841383117098431882600358822721207018152716584617 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:27 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 27 秒 (日本時間)

93×10201-1

c196

name 名前Serge Batalov
date 日付November 18, 2014 06:40:44 UTC 2014 年 11 月 18 日 (火) 15 時 40 分 44 秒 (日本時間)
composite number 合成数
1381764855149664523093740606691940681161637530421299064297069697214758752250883805773842623728388176199504499122943330302018584618440270071735436781590922155543070806578787511442833067249500035131<196>
prime factors 素因数
109315145522483379276419721601631<33>
composite cofactor 合成数の残り
12640195908310529617864765917889118991642984483584443904071990791014105893175441456225489910097953472434234936730238098810172310927816038018367430912769724858478501<164>
factorization results 素因数分解の結果
Input number is 1381764855149664523093740606691940681161637530421299064297069697214758752250883805773842623728388176199504499122943330302018584618440270071735436781590922155543070806578787511442833067249500035131 (196 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1796757114
Step 1 took 5381ms
********** Factor found in step 1: 109315145522483379276419721601631
Found probable prime factor of 33 digits: 109315145522483379276419721601631
Composite cofactor 12640195908310529617864765917889118991642984483584443904071990791014105893175441456225489910097953472434234936730238098810172310927816038018367430912769724858478501 has 164 digits

c164

name 名前Cyp
date 日付December 5, 2014 13:42:05 UTC 2014 年 12 月 5 日 (金) 22 時 42 分 5 秒 (日本時間)
composite number 合成数
12640195908310529617864765917889118991642984483584443904071990791014105893175441456225489910097953472434234936730238098810172310927816038018367430912769724858478501<164>
prime factors 素因数
3874313943124491225452738561541761020406729<43>
3262563667753955443653755197049065473708827152546695899896778734553859363303925960526293631906848514506867141184699439869<121>
factorization results 素因数分解の結果
Run 502 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1156723808
Step 1 took 50144ms
Step 2 took 16749ms
********** Factor found in step 2: 3874313943124491225452738561541761020406729
Found probable prime factor of 43 digits: 3874313943124491225452738561541761020406729
Probable prime cofactor 3262563667753955443653755197049065473708827152546695899896778734553859363303925960526293631906848514506867141184699439869 has 121 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:27 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 27 秒 (日本時間)
403e60 / 340--
4511e6502 / 4434CypDecember 5, 2014 13:42:05 UTC 2014 年 12 月 5 日 (金) 22 時 42 分 5 秒 (日本時間)

93×10202-1

c183

name 名前Bob Backstrom
date 日付September 15, 2021 18:39:35 UTC 2021 年 9 月 16 日 (木) 3 時 39 分 35 秒 (日本時間)
composite number 合成数
118614203312973963684402652555915994820941519808316662376608819074892851778498185163814198734567090020846705880612249532217633383157107281147038108292815887723835825985340257321489871<183>
prime factors 素因数
61916636125461230760553306631897125427994309708367<50>
1915708131698674064002554354083713230846703972605892682597698891403752786522604167818114543033406008735198871361721104692354322013313<133>
factorization results 素因数分解の結果
Number: n
N=118614203312973963684402652555915994820941519808316662376608819074892851778498185163814198734567090020846705880612249532217633383157107281147038108292815887723835825985340257321489871  ( 183 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Sep 16 04:32:59 2021  p50 factor: 61916636125461230760553306631897125427994309708367
Thu Sep 16 04:32:59 2021  p133 factor: 1915708131698674064002554354083713230846703972605892682597698891403752786522604167818114543033406008735198871361721104692354322013313
Thu Sep 16 04:32:59 2021  elapsed time 01:42:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 93x10^202-1 = 929(202)
#
n: 118614203312973963684402652555915994820941519808316662376608819074892851778498185163814198734567090020846705880612249532217633383157107281147038108292815887723835825985340257321489871
m: 5000000000000000000000000000000000
deg: 6
c6: 1488
c0: -25
skew: 0.51
# Murphy_E = 9.437e-12
type: snfs
lss: 1
rlim: 18500000
alim: 18500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11355239 hash collisions in 71775594 relations (63684507 unique)
Msieve: matrix is 2071597 x 2071825 (709.6 MB)

Sieving start time : 2021/09/15 11:36:05
Sieving end time  : 2021/09/16 02:49:20

Total sieving time: 15hrs 13min 15secs.

Total relation processing time: 1hrs 21min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 24sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18500000,18500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118839] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798236)
[    0.152049] smpboot: Total of 16 processors activated (102385.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:27 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 27 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 4, 2015 19:31:04 UTC 2015 年 6 月 5 日 (金) 4 時 31 分 4 秒 (日本時間)

93×10203-1

c133

name 名前Erik Branger
date 日付December 8, 2014 16:35:56 UTC 2014 年 12 月 9 日 (火) 1 時 35 分 56 秒 (日本時間)
composite number 合成数
2409329888411670915152124025948487868799042793176997004207818793565507896717550227135626427131526365203278509171864577407785576377233<133>
prime factors 素因数
987499950732326315436312377583301475094030086654507799926951<60>
2439827856826646695489342723032892615495990209461450073813022911849605383<73>
factorization results 素因数分解の結果
Number: 92999_203
N = 2409329888411670915152124025948487868799042793176997004207818793565507896717550227135626427131526365203278509171864577407785576377233 (133 digits)
Divisors found:
r1=987499950732326315436312377583301475094030086654507799926951 (pp60)
r2=2439827856826646695489342723032892615495990209461450073813022911849605383 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 66.08 hours.
Factorization parameters were as follows:
# Murphy_E = 5.831e-11, selected by Erik Branger
# expecting poly E from 5.96e-011 to > 6.85e-011
n: 2409329888411670915152124025948487868799042793176997004207818793565507896717550227135626427131526365203278509171864577407785576377233
Y0: -46435102511237451294706311
Y1: 23998821363037
c0: 1470617842938849205968453745841888
c1: 30496034233350721822051570712
c2: -2162630837819798822456
c3: -38939240600501372
c4: 1510681473
c5: 11160
skew: 1225276.57
type: gnfs
# selected mechanically
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22013610
Relations: 2046832 relations
Pruned matrix : 1305946 x 1306172
Polynomial selection time: 0.00 hours.
Total sieving time: 64.86 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.06 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11400000,11400000,28,28,54,54,2.6,2.6,100000
total time: 66.08 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:28 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 28 秒 (日本時間)
403e60--
4511e6601 / 4434KTakahashiNovember 20, 2014 21:17:19 UTC 2014 年 11 月 21 日 (金) 6 時 17 分 19 秒 (日本時間)

93×10205-1

c193

name 名前Serge Batalov
date 日付November 18, 2014 06:39:19 UTC 2014 年 11 月 18 日 (火) 15 時 39 分 19 秒 (日本時間)
composite number 合成数
2101516263069233504299036144631896588651867822907803534224258585870601088914027783056210120609274128629373467869432834399295940217632416181511309880070952834050232916953666410442963266845846207<193>
prime factors 素因数
20735684454442004019195004564820987<35>
composite cofactor 合成数の残り
101347812640881797041988498834811661353746561534407722887762701973417434191105205084773989306217649843940975950942353290438964618537542032098025141687722018061<159>
factorization results 素因数分解の結果
Input number is 2101516263069233504299036144631896588651867822907803534224258585870601088914027783056210120609274128629373467869432834399295940217632416181511309880070952834050232916953666410442963266845846207 (193 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1875645127
Step 1 took 5192ms
Step 2 took 3567ms
********** Factor found in step 2: 20735684454442004019195004564820987
Found probable prime factor of 35 digits: 20735684454442004019195004564820987
Composite cofactor 101347812640881797041988498834811661353746561534407722887762701973417434191105205084773989306217649843940975950942353290438964618537542032098025141687722018061 has 159 digits

c159

name 名前ebina
date 日付October 14, 2023 08:41:39 UTC 2023 年 10 月 14 日 (土) 17 時 41 分 39 秒 (日本時間)
composite number 合成数
101347812640881797041988498834811661353746561534407722887762701973417434191105205084773989306217649843940975950942353290438964618537542032098025141687722018061<159>
prime factors 素因数
10888800310742335291069071368856879000616585813311360064355022701<65>
9307527895510877507546185342264347815201491383595108756650851818263678475769480100999946723361<94>
factorization results 素因数分解の結果
Number: 92999_205
N = 101347812640881797041988498834811661353746561534407722887762701973417434191105205084773989306217649843940975950942353290438964618537542032098025141687722018061 (159 digits)
SNFS difficulty: 207 digits.
Divisors found:
r1=10888800310742335291069071368856879000616585813311360064355022701 (pp65)
r2=9307527895510877507546185342264347815201491383595108756650851818263678475769480100999946723361 (pp94)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 93.86 hours.
Factorization parameters were as follows:
n: 101347812640881797041988498834811661353746561534407722887762701973417434191105205084773989306217649843940975950942353290438964618537542032098025141687722018061
m: 100000000000000000000000000000000000000000
deg: 5
c5: 93
c0: -1
skew: 0.40
# Murphy_E = 9.081e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39101263
Relations: 6455182 relations
Pruned matrix : 3848919 x 3849148
Total sieving time: 86.02 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 7.53 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 93.86 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:28 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 28 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 20, 2015 21:54:54 UTC 2015 年 5 月 21 日 (木) 6 時 54 分 54 秒 (日本時間)

93×10206-1

c197

name 名前Cyp
date 日付December 3, 2014 10:02:15 UTC 2014 年 12 月 3 日 (水) 19 時 2 分 15 秒 (日本時間)
composite number 合成数
95927324540996078408382432080340944915862777848484748568210020370057307726447096454781770480797799347734827110720946387653438386255477273036503084825894770420206274389426143821847945309118505481637<197>
prime factors 素因数
1665069893691276055439402350250983227472607<43>
57611590302876592530052417363325127100827886422541151184604714609194830613108445183264462039097691842641134259011745047153585157934627052133382053425079291<155>
factorization results 素因数分解の結果
Run 597 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1344974756
Step 1 took 69266ms
Step 2 took 20981ms
********** Factor found in step 2: 1665069893691276055439402350250983227472607
Found probable prime factor of 43 digits: 1665069893691276055439402350250983227472607
Probable prime cofactor 57611590302876592530052417363325127100827886422541151184604714609194830613108445183264462039097691842641134259011745047153585157934627052133382053425079291 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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:29 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 29 秒 (日本時間)
403e60 / 13--
4511e6597 / 4434CypDecember 3, 2014 10:02:14 UTC 2014 年 12 月 3 日 (水) 19 時 2 分 14 秒 (日本時間)

93×10207-1

c192

name 名前Cyp
date 日付July 16, 2015 23:22:24 UTC 2015 年 7 月 17 日 (金) 8 時 22 分 24 秒 (日本時間)
composite number 合成数
321891667332209307054891255960846968532889239340066039422091925608175680377654931885182002803447781934884914255763260150320306927593661515015716110246904186959232054015242685379270134775403149<192>
prime factors 素因数
67059528259782137114598126332245702607<38>
4800088454025982260550867398446770385988590945541679794161347198697793339830971563940269572190879877287415936406106934738576220356282792597894621239380707<154>
factorization results 素因数分解の結果
Run 321 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=266372674
Step 1 took 59548ms
Step 2 took 19330ms
********** Factor found in step 2: 67059528259782137114598126332245702607
Found probable prime factor of 38 digits: 67059528259782137114598126332245702607
Probable prime cofactor 4800088454025982260550867398446770385988590945541679794161347198697793339830971563940269572190879877287415936406106934738576220356282792597894621239380707 has 154 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:29 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 29 秒 (日本時間)
403e60 / 965--
4511e6321 / 4434CypJuly 16, 2015 23:22:23 UTC 2015 年 7 月 17 日 (金) 8 時 22 分 23 秒 (日本時間)

93×10211-1

c158

name 名前Bob Backstrom
date 日付July 11, 2022 18:51:56 UTC 2022 年 7 月 12 日 (火) 3 時 51 分 56 秒 (日本時間)
composite number 合成数
27522572824995999825053326494564502703451964083754166525759207399497257422639033853538390350109483274497240804232588806187504807919716947388405464659655827001<158>
prime factors 素因数
417786100110904286794566027048349665814199<42>
65877186478176122763918126247130175771204363106739948723157936842980384477137507519339923762494989530145131245318799<116>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 27522572824995999825053326494564502703451964083754166525759207399497257422639033853538390350109483274497240804232588806187504807919716947388405464659655827001 (158 digits)
Using B1=27530000, B2=144286522396, polynomial Dickson(12), sigma=1:1828907573
Step 1 took 64935ms
Step 2 took 20268ms
********** Factor found in step 2: 417786100110904286794566027048349665814199
Found prime factor of 42 digits: 417786100110904286794566027048349665814199
Prime cofactor 65877186478176122763918126247130175771204363106739948723157936842980384477137507519339923762494989530145131245318799 has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:30 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 30 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 5, 2014 03:16:17 UTC 2014 年 12 月 5 日 (金) 12 時 16 分 17 秒 (日本時間)

93×10212-1

c182

name 名前Serge Batalov
date 日付November 18, 2014 06:35:45 UTC 2014 年 11 月 18 日 (火) 15 時 35 分 45 秒 (日本時間)
composite number 合成数
39574193090858480536016060813034429201877814772489995391475733183546386472577090562837225933629375541826256079994626588806237279041424830506424147648662560441980223433700068679266799<182>
prime factors 素因数
31274312486166660885685689286303<32>
composite cofactor 合成数の残り
1265389706276134621814513451043735169245405842952430713679154955425350052352612074330975565288661134466099019628849547533001109318131517525076077779633<151>
factorization results 素因数分解の結果
Input number is 39574193090858480536016060813034429201877814772489995391475733183546386472577090562837225933629375541826256079994626588806237279041424830506424147648662560441980223433700068679266799 (182 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3188868923
Step 1 took 4624ms
Step 2 took 2850ms
********** Factor found in step 2: 31274312486166660885685689286303
Found probable prime factor of 32 digits: 31274312486166660885685689286303
Composite cofactor 1265389706276134621814513451043735169245405842952430713679154955425350052352612074330975565288661134466099019628849547533001109318131517525076077779633 has 151 digits

c151

name 名前Bob Backstrom
date 日付June 19, 2022 17:20:25 UTC 2022 年 6 月 20 日 (月) 2 時 20 分 25 秒 (日本時間)
composite number 合成数
1265389706276134621814513451043735169245405842952430713679154955425350052352612074330975565288661134466099019628849547533001109318131517525076077779633<151>
prime factors 素因数
2578965917882426486045527382930379055457898509<46>
490657785549620040310553005011592083678356222669965295755262215840320157298107317608914830842150979037237<105>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 1265389706276134621814513451043735169245405842952430713679154955425350052352612074330975565288661134466099019628849547533001109318131517525076077779633 (151 digits)
Using B1=59240000, B2=388129104100, polynomial Dickson(30), sigma=1:3942357034
Step 1 took 102377ms
Step 2 took 42339ms
********** Factor found in step 2: 2578965917882426486045527382930379055457898509
Found prime factor of 46 digits: 2578965917882426486045527382930379055457898509
Prime cofactor 490657785549620040310553005011592083678356222669965295755262215840320157298107317608914830842150979037237 has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:30 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 30 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 17, 2015 01:35:12 UTC 2015 年 7 月 17 日 (金) 10 時 35 分 12 秒 (日本時間)

93×10214-1

c194

composite cofactor 合成数の残り
33837842412286445189087472202685113151975793460671103560766517372052752101877292909035942446325712713801693481282412217891264281981700358057943239827477668485514843769556771541682594602521231803<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:30 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 30 秒 (日本時間)
403e60--
4511e6601 / 4434CypJanuary 25, 2015 02:11:06 UTC 2015 年 1 月 25 日 (日) 11 時 11 分 6 秒 (日本時間)

93×10215-1

c188

name 名前Cyp
date 日付May 15, 2015 18:37:38 UTC 2015 年 5 月 16 日 (土) 3 時 37 分 38 秒 (日本時間)
composite number 合成数
37716257335906286282207523950195937781212069303905051621833371813218044950708840287797876856917140859205540214750113871407666156403672997391759246841228978976656950340457998751771298036587<188>
prime factors 素因数
1008289878785516616892122231462088479976997<43>
composite cofactor 合成数の残り
37406164764180169907189535121502449715900258203751184521715140028833423477771168170415623255528283948882751406066060011653709109829801626594043471<146>
factorization results 素因数分解の結果
Run 456 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1805088931
Step 1 took 59586ms
Step 2 took 19175ms
********** Factor found in step 2: 1008289878785516616892122231462088479976997
Found probable prime factor of 43 digits: 1008289878785516616892122231462088479976997
Composite cofactor 37406164764180169907189535121502449715900258203751184521715140028833423477771168170415623255528283948882751406066060011653709109829801626594043471 has 146 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

c146

name 名前Robert Balfour
date 日付April 11, 2020 17:47:01 UTC 2020 年 4 月 12 日 (日) 2 時 47 分 1 秒 (日本時間)
composite number 合成数
37406164764180169907189535121502449715900258203751184521715140028833423477771168170415623255528283948882751406066060011653709109829801626594043471<146>
prime factors 素因数
5379606041767401795999811773543045112158029<43>
6953327896830684221284611004929504618561145755163728472621215731414292896558926933847718078195963903499<103>
factorization results 素因数分解の結果
Sat 2020/04/11 17:44:03 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Sat 2020/04/11 17:44:03 UTC Input number is 37406164764180169907189535121502449715900258203751184521715140028833423477771168170415623255528283948882751406066060011653709109829801626594043471 (146 digits)
Sat 2020/04/11 17:44:03 UTC Run 48 out of 4000:
Sat 2020/04/11 17:44:03 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2952100703
Sat 2020/04/11 17:44:03 UTC Step 1 took 21884ms
Sat 2020/04/11 17:44:03 UTC Step 2 took 10368ms
Sat 2020/04/11 17:44:03 UTC ********** Factor found in step 2: 5379606041767401795999811773543045112158029
Sat 2020/04/11 17:44:03 UTC Found prime factor of 43 digits: 5379606041767401795999811773543045112158029
Sat 2020/04/11 17:44:03 UTC Prime cofactor 6953327896830684221284611004929504618561145755163728472621215731414292896558926933847718078195963903499 has 103 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:31 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 31 秒 (日本時間)
403e60--
4511e61401 / 4434601CypMay 15, 2015 18:37:38 UTC 2015 年 5 月 16 日 (土) 3 時 37 分 38 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:19:47 UTC 2016 年 3 月 1 日 (火) 22 時 19 分 47 秒 (日本時間)

93×10216-1

c177

name 名前Seth Troisi
date 日付November 30, 2023 08:37:33 UTC 2023 年 11 月 30 日 (木) 17 時 37 分 33 秒 (日本時間)
composite number 合成数
951170750946202930424357052128849411587792348052653476748358345238305474677726966007822629728812233706347189251465506799164421187744064935585977818491713593265697949222196913121<177>
prime factors 素因数
1285006086045694331101230419689642287656351<43>
740207195339602195282518005885742111775434382038008550842118303552103794622561928271280900617653495181646577078279114051540919270342271<135>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Sun Nov 19 11:33:53 2023 
Input number is 951170750946202930424357052128849411587792348052653476748358345238305474677726966007822629728812233706347189251465506799164421187744064935585977818491713593265697949222196913121 (177 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 4416MB of memory
Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1
P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13
Probability of finding a factor of n digits (assuming one exists):
20  25      30      35      40      45      50      55      60      65
0.77    0.5     0.25    0.11    0.04    0.013   0.0039  0.0011  0.00026 6.1e-05
Step 1 took 0ms
Computing F from factored S_1 took 72360ms
Computing h took 7958ms
Computing DCT-I of h took 23602ms
Multi-point evaluation 1 of 5:
Computing g_i took 29202ms
Computing g*h took 49238ms
Computing gcd of coefficients and N took 12020ms
Step 2 took 194847ms
********** Factor found in step 2: 1285006086045694331101230419689642287656351
Found prime factor of 43 digits: 1285006086045694331101230419689642287656351
Prime cofactor 740207195339602195282518005885742111775434382038008550842118303552103794622561928271280900617653495181646577078279114051540919270342271 has 135 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:31 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 31 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 17, 2015 01:30:37 UTC 2015 年 7 月 17 日 (金) 10 時 30 分 37 秒 (日本時間)

93×10217-1

c181

composite cofactor 合成数の残り
1395452903781240064033515473287977963800958579896162272814879469569794772079429791740244241447648550118447632196122773781816505974348424201022939944023095397108528088861754255697579<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:32 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 32 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 13, 2015 09:01:05 UTC 2015 年 6 月 13 日 (土) 18 時 1 分 5 秒 (日本時間)

93×10218-1

c156

name 名前Serge Batalov
date 日付November 18, 2014 06:33:56 UTC 2014 年 11 月 18 日 (火) 15 時 33 分 56 秒 (日本時間)
composite number 合成数
184859703938376330420402568449701492491844011292147008669483398540371808214225938032629426168725416753775060528722123886156296953706296675711815622791011663<156>
prime factors 素因数
563315259984213181672541037523<30>
composite cofactor 合成数の残り
328163849038204634269642142458882153827543587165970654501208169818063912727752241909529610604811162548675439511451827070140181<126>
factorization results 素因数分解の結果
Input number is 184859703938376330420402568449701492491844011292147008669483398540371808214225938032629426168725416753775060528722123886156296953706296675711815622791011663 (156 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1783915948
Step 1 took 3712ms
Step 2 took 1714ms
********** Factor found in step 2: 563315259984213181672541037523
Found probable prime factor of 30 digits: 563315259984213181672541037523
Composite cofactor 328163849038204634269642142458882153827543587165970654501208169818063912727752241909529610604811162548675439511451827070140181 has 126 digits

c126

name 名前Erik Branger
date 日付December 2, 2014 08:02:39 UTC 2014 年 12 月 2 日 (火) 17 時 2 分 39 秒 (日本時間)
composite number 合成数
328163849038204634269642142458882153827543587165970654501208169818063912727752241909529610604811162548675439511451827070140181<126>
prime factors 素因数
147704787102899582134373609090478843875891729006804992477<57>
2221754998432020847950116228361697112374551221803348962566640917465753<70>
factorization results 素因数分解の結果
Number: 92999_218
N = 328163849038204634269642142458882153827543587165970654501208169818063912727752241909529610604811162548675439511451827070140181 (126 digits)
Divisors found:
r1=147704787102899582134373609090478843875891729006804992477 (pp57)
r2=2221754998432020847950116228361697112374551221803348962566640917465753 (pp70)
Version: Msieve v. 1.51 (SVN 845)
Total time: 43.70 hours.
Factorization parameters were as follows:
n: 328163849038204634269642142458882153827543587165970654501208169818063912727752241909529610604811162548675439511451827070140181
Y0: -4694003610776025626547289
Y1: 4564412062949
c0: -461424637116852911012589086438640
c1: 1663339072953208274101879310
c2: -3524401468821085606945
c3: 1602000702132248
c4: 3801403932
c5: 144
skew: 1400971.45
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18795473
Relations: 1891936 relations
Pruned matrix : 1057463 x 1057699
Polynomial selection time: 0.00 hours.
Total sieving time: 42.53 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.89 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 43.70 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:32 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 32 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:06 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 6 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:02 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 2 秒 (日本時間)

93×10219-1

c201

name 名前Serge Batalov
date 日付June 20, 2015 04:17:29 UTC 2015 年 6 月 20 日 (土) 13 時 17 分 29 秒 (日本時間)
composite number 合成数
207010944825587642140822965192975852902688870088274777586754999131072820132533657262824112361327798922963297293907708489025173949952976581993511896604696341521501373572563661402493535360663666750789589<201>
prime factors 素因数
1049785183937761542664513396402015759<37>
composite cofactor 合成数の残り
197193623984181385716710997332704595390593466895624828657373498264440537681528890311306698714726472055784515746261851231152137970298166932052569219668226707890577371<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2603065434
Step 1 took 18138ms
Step 2 took 13116ms
********** Factor found in step 2: 1049785183937761542664513396402015759
Found probable prime factor of 37 digits: 1049785183937761542664513396402015759
Composite cofactor 

c165

name 名前Cyp
date 日付July 16, 2015 12:12:02 UTC 2015 年 7 月 16 日 (木) 21 時 12 分 2 秒 (日本時間)
composite number 合成数
197193623984181385716710997332704595390593466895624828657373498264440537681528890311306698714726472055784515746261851231152137970298166932052569219668226707890577371<165>
prime factors 素因数
221887771081121657393735117791588861<36>
888708841516497326715794810325641607007140484506478686795294197032765832844944465816279699149560918691590606164673663635815625911<129>
factorization results 素因数分解の結果
Run 17 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2376234064
Step 1 took 50318ms
Step 2 took 17581ms
********** Factor found in step 2: 221887771081121657393735117791588861
Found probable prime factor of 36 digits: 221887771081121657393735117791588861
Probable prime cofactor 888708841516497326715794810325641607007140484506478686795294197032765832844944465816279699149560918691590606164673663635815625911 has 129 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:33 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 33 秒 (日本時間)
403e60 / 2014--
4511e617 / 4434CypJuly 16, 2015 12:12:01 UTC 2015 年 7 月 16 日 (木) 21 時 12 分 1 秒 (日本時間)

93×10220-1

c218

name 名前Erik Branger
date 日付April 2, 2018 17:01:08 UTC 2018 年 4 月 3 日 (火) 2 時 1 分 8 秒 (日本時間)
composite number 合成数
56081529276970391364650545739612856539829946330579509135862027377434722305975999517578242778749321594403907616233492130495085328348308508713742989808840378701079418681782548392932521256708677561358017246577820659711753<218>
prime factors 素因数
16891722908475414823349762163508506950563900746643<50>
3320059746470948074515466933813955453510646579751398307904417698732914235280239540554678438920940491329322405827704361340558603394000803269070840205673084391348513350771<169>
factorization results 素因数分解の結果
Number: 92999_220
N = 56081529276970391364650545739612856539829946330579509135862027377434722305975999517578242778749321594403907616233492130495085328348308508713742989808840378701079418681782548392932521256708677561358017246577820659711753 (218 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=16891722908475414823349762163508506950563900746643 (pp50)
r2=3320059746470948074515466933813955453510646579751398307904417698732914235280239540554678438920940491329322405827704361340558603394000803269070840205673084391348513350771 (pp169)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 79.22 hours.
Factorization parameters were as follows:
n: 56081529276970391364650545739612856539829946330579509135862027377434722305975999517578242778749321594403907616233492130495085328348308508713742989808840378701079418681782548392932521256708677561358017246577820659711753
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 93
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30373598
Relations: 8228258 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.72 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 7285798 x 7286023
Matrix solve time: 36.90 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 79.22 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:33 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 33 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:38 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 38 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:38 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 38 秒 (日本時間)
4511e61000 / 3974Serge BatalovDecember 18, 2014 00:18:39 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 39 秒 (日本時間)

93×10221-1

c204

name 名前Erik Branger
date 日付February 26, 2020 13:49:13 UTC 2020 年 2 月 26 日 (水) 22 時 49 分 13 秒 (日本時間)
composite number 合成数
473681780037052501066132961339463142505181249188523988420020316740920928389062330726774171936973665968941107014286666308628257910773083326396410809929419421708008836061852013507373419415264938433937249799<204>
prime factors 素因数
5435730548273540885535951724470616489350972543959054146003536767765566020468642687233<85>
87142248099015877369338387681958547850412213404336335705486730200507273315932360411535298199419883240262896330928125703<119>
factorization results 素因数分解の結果
Number: 92999_221
N = 473681780037052501066132961339463142505181249188523988420020316740920928389062330726774171936973665968941107014286666308628257910773083326396410809929419421708008836061852013507373419415264938433937249799 (204 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=5435730548273540885535951724470616489350972543959054146003536767765566020468642687233 (pp85)
r2=87142248099015877369338387681958547850412213404336335705486730200507273315932360411535298199419883240262896330928125703 (pp119)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 100.77 hours.
Factorization parameters were as follows:
n: 473681780037052501066132961339463142505181249188523988420020316740920928389062330726774171936973665968941107014286666308628257910773083326396410809929419421708008836061852013507373419415264938433937249799
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 930
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 110000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/110000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33957838
Relations: 11458048 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 36.91 hours.
Total relation processing time: 0.33 hours.
Pruned matrix : 9753900 x 9754125
Matrix solve time: 63.22 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,110000000,29,28,58,56,2.8,2.8,100000
total time: 100.77 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:34 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 34 秒 (日本時間)
403e60--
4511e6601 / 4434345CypJanuary 1, 2015 16:20:49 UTC 2015 年 1 月 2 日 (金) 1 時 20 分 49 秒 (日本時間)
256CypJune 10, 2015 18:11:58 UTC 2015 年 6 月 11 日 (木) 3 時 11 分 58 秒 (日本時間)

93×10222-1

c163

name 名前Serge Batalov
date 日付November 18, 2014 06:33:32 UTC 2014 年 11 月 18 日 (火) 15 時 33 分 32 秒 (日本時間)
composite number 合成数
8811004651571931876582712496859285068419688623095606673370923203979542448158148009496949137917328479521074283068216352504228817345573246764948783003045193207372999<163>
prime factors 素因数
1961911118822088151244215517867<31>
4491031508533358587426590763776026892427335965966986622336610710305012158209966056225224681783669511358790896881988776981290872499797<133>
factorization results 素因数分解の結果
Input number is 8811004651571931876582712496859285068419688623095606673370923203979542448158148009496949137917328479521074283068216352504228817345573246764948783003045193207372999 (163 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2091878193
Step 1 took 4132ms
Step 2 took 3019ms
********** Factor found in step 2: 1961911118822088151244215517867
Found probable prime factor of 31 digits: 1961911118822088151244215517867
Probable prime cofactor 4491031508533358587426590763776026892427335965966986622336610710305012158209966056225224681783669511358790896881988776981290872499797 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:34 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 34 秒 (日本時間)

93×10224-1

c188

composite cofactor 合成数の残り
11728600981100945994031947028453256702647011465606679979196941773840198856358004193164126397246640746850958297542768429951124842707507118432179095291703709556463759613512282983283159592169<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:35 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 35 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 3, 2014 06:36:58 UTC 2014 年 12 月 3 日 (水) 15 時 36 分 58 秒 (日本時間)

93×10225-1

c199

name 名前Serge Batalov
date 日付November 18, 2014 06:39:34 UTC 2014 年 11 月 18 日 (火) 15 時 39 分 34 秒 (日本時間)
composite number 合成数
8315872130687442381120476984746494626264571129586397518430910304233888664676490941619840015468641477619773793563720625605834131095450102074306554788591420489858162505803647744873568763216587392263981<199>
prime factors 素因数
138474167220475936850960395871837<33>
60053599148547821541128017652046715852096480931813909499978077710453805158026408984149993685055046537099410764296876181592568287948336261727288952988729576578114967313<167>
factorization results 素因数分解の結果
Input number is 8315872130687442381120476984746494626264571129586397518430910304233888664676490941619840015468641477619773793563720625605834131095450102074306554788591420489858162505803647744873568763216587392263981 (199 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1718786471
Step 1 took 6647ms
Step 2 took 4530ms
********** Factor found in step 2: 138474167220475936850960395871837
Found probable prime factor of 33 digits: 138474167220475936850960395871837
Probable prime cofactor 60053599148547821541128017652046715852096480931813909499978077710453805158026408984149993685055046537099410764296876181592568287948336261727288952988729576578114967313 has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:35 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 35 秒 (日本時間)

93×10226-1

c222

name 名前Bob Backstrom
date 日付August 9, 2018 03:16:42 UTC 2018 年 8 月 9 日 (木) 12 時 16 分 42 秒 (日本時間)
composite number 合成数
185196948989790470561551002542774023280252170538112635987829573403806414624903493471608411605595815425153449611793341711669857165359567841923849802486458219867012659704987234354392483313854464272023651044341526273771671279<222>
prime factors 素因数
8492814230842241215286893195296075639503<40>
38795244040548690539514979113553028150713739507864434129981<59>
296280374894699526355554983252499222320816626151322080692063<60>
1897146327499981443796953807745697804783651033609564818234165931<64>
factorization results 素因数分解の結果
Number: n
N=185196948989790470561551002542774023280252170538112635987829573403806414624903493471608411605595815425153449611793341711669857165359567841923849802486458219867012659704987234354392483313854464272023651044341526273771671279
  ( 222 digits)
SNFS difficulty: 229 digits.
Divisors found:

Thu Aug  9 12:34:22 2018  found factor: 16112111328181937559065365184617031977077912390081730752920339920254399363834979137080950178224640372293
Thu Aug  9 12:56:19 2018  found factor: 16112111328181937559065365184617031977077912390081730752920339920254399363834979137080950178224640372293
Thu Aug  9 13:07:14 2018  p40 factor: 8492814230842241215286893195296075639503
Thu Aug  9 13:07:14 2018  p59 factor: 38795244040548690539514979113553028150713739507864434129981
Thu Aug  9 13:07:14 2018  p60 factor: 296280374894699526355554983252499222320816626151322080692063
Thu Aug  9 13:07:14 2018  p64 factor: 1897146327499981443796953807745697804783651033609564818234165931
Thu Aug  9 13:07:14 2018  elapsed time 13:22:52 (Msieve 1.53 - dependency 4)


From msieve.log:
...
Thu Aug  9 12:23:24 2018  commencing square root phase
Thu Aug  9 12:23:24 2018  reading relations for dependency 1
Thu Aug  9 12:23:24 2018  read 2694790 cycles
Thu Aug  9 12:23:27 2018  cycles contain 7041534 unique relations
Thu Aug  9 12:24:07 2018  read 7041534 relations
Thu Aug  9 12:24:35 2018  multiplying 7041534 relations
Thu Aug  9 12:29:11 2018  multiply complete, coefficients have about 243.09 million bits
Thu Aug  9 12:29:12 2018  initial square root is modulo 529270663
Thu Aug  9 12:34:22 2018  found factor: 16112111328181937559065365184617031977077912390081730752920339920254399363834979137080950178224640372293
Thu Aug  9 12:34:22 2018  reading relations for dependency 2
Thu Aug  9 12:34:23 2018  read 2694448 cycles
Thu Aug  9 12:34:26 2018  cycles contain 7042206 unique relations
Thu Aug  9 12:35:06 2018  read 7042206 relations
Thu Aug  9 12:35:34 2018  multiplying 7042206 relations
Thu Aug  9 12:40:10 2018  multiply complete, coefficients have about 243.11 million bits
Thu Aug  9 12:40:11 2018  initial square root is modulo 530421109
Thu Aug  9 12:45:21 2018  GCD is 1, no factor found
Thu Aug  9 12:45:21 2018  reading relations for dependency 3
Thu Aug  9 12:45:21 2018  read 2692724 cycles
Thu Aug  9 12:45:24 2018  cycles contain 7037522 unique relations
Thu Aug  9 12:46:04 2018  read 7037522 relations
Thu Aug  9 12:46:32 2018  multiplying 7037522 relations
Thu Aug  9 12:51:08 2018  multiply complete, coefficients have about 242.95 million bits
Thu Aug  9 12:51:09 2018  initial square root is modulo 523437727
Thu Aug  9 12:56:19 2018  found factor: 16112111328181937559065365184617031977077912390081730752920339920254399363834979137080950178224640372293
Thu Aug  9 12:56:19 2018  reading relations for dependency 4
Thu Aug  9 12:56:19 2018  read 2691710 cycles
Thu Aug  9 12:56:22 2018  cycles contain 7037472 unique relations
Thu Aug  9 12:57:01 2018  read 7037472 relations
Thu Aug  9 12:57:29 2018  multiplying 7037472 relations
Thu Aug  9 13:02:04 2018  multiply complete, coefficients have about 242.95 million bits
Thu Aug  9 13:02:05 2018  initial square root is modulo 523433161
Thu Aug  9 13:07:14 2018  sqrtTime: 2630
Thu Aug  9 13:07:14 2018  p40 factor: 8492814230842241215286893195296075639503
Thu Aug  9 13:07:14 2018  p59 factor: 38795244040548690539514979113553028150713739507864434129981
Thu Aug  9 13:07:14 2018  p60 factor: 296280374894699526355554983252499222320816626151322080692063
Thu Aug  9 13:07:14 2018  p64 factor: 1897146327499981443796953807745697804783651033609564818234165931
Thu Aug  9 13:07:14 2018  elapsed time 13:22:52

---


Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# 93x10^226-1 = 929(226)
#
n: 185196948989790470561551002542774023280252170538112635987829573403806414624903493471608411605595815425153449611793341711669857165359567841923849802486458219867012659704987234354392483313854464272023651044341526273771671279
m: 50000000000000000000000000000000000000
deg: 6
c6: 1488
c0: -25
skew: 0.51
# Murphy_E = 1.466e-12
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 93900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 22133646 hash collisions in 128304191 relations (109673806 unique)
Msieve: matrix is 5385341 x 5385567 (1544.0 MB)

Sieving start time: 2018/08/06 10:14:47
Sieving end time  : 2018/08/08 23:39:06

Total sieving time: 61hrs 24min 19secs.

Total relation processing time: 11hrs 54min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 43min 50sec.

Prototype def-par.txt line would be:
snfs,229,6,0,0,0,0,0,0,0,0,47000000,47000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285184K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2408K init, 2416K bss, 418276K reserved, 0K cma-reserved)
[    0.072652] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.85 BogoMIPS (lpj=11977704)
[    0.070214] smpboot: Total of 16 processors activated (95821.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:36 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 36 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 5, 2014 03:19:42 UTC 2014 年 12 月 5 日 (金) 12 時 19 分 42 秒 (日本時間)

93×10227-1

c216

name 名前Serge Batalov
date 日付November 18, 2014 06:39:08 UTC 2014 年 11 月 18 日 (火) 15 時 39 分 8 秒 (日本時間)
composite number 合成数
897545970717270761439739076255620515269504194217379289386332300890784787310957149919465433339760593981194100667164584000754761577426285132673766076907746428225613845079039128131553629275732070041427629085161293713727<216>
prime factors 素因数
616208770431857896108490110063<30>
composite cofactor 合成数の残り
1456561499584374913516085683470465093717849745277556732792656595123524875288590653798319420193543191411796723272395061677609509673383451203580261461890705066538402865367178384605414881329<187>
factorization results 素因数分解の結果
Input number is 897545970717270761439739076255620515269504194217379289386332300890784787310957149919465433339760593981194100667164584000754761577426285132673766076907746428225613845079039128131553629275732070041427629085161293713727 (216 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3182936505
Step 1 took 6039ms
Step 2 took 3463ms
********** Factor found in step 2: 616208770431857896108490110063
Found probable prime factor of 30 digits: 616208770431857896108490110063
Composite cofactor 1456561499584374913516085683470465093717849745277556732792656595123524875288590653798319420193543191411796723272395061677609509673383451203580261461890705066538402865367178384605414881329 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:36 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 36 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 17, 2015 01:06:11 UTC 2015 年 7 月 17 日 (金) 10 時 6 分 11 秒 (日本時間)

93×10228-1

c207

name 名前Serge Batalov
date 日付November 17, 2014 22:29:26 UTC 2014 年 11 月 18 日 (火) 7 時 29 分 26 秒 (日本時間)
composite number 合成数
321068337453766206058054121516782670609651991599793545209328307705941316049483851208169467687435568226258207642101965313591955207966734967248224099964816640967200353514107577890197529111964091578571511005501<207>
prime factors 素因数
31989852313092259726846541725238299181426473829<47>
composite cofactor 合成数の残り
10036568293951293022613008583105212723450070966879788087744628668673073245059277304204331994106411056332644332904649644502762875095463893298198229729695717739769<161>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=695283216
Step 1 took 5394ms
Step 2 took 3308ms
********** Factor found in step 2: 31989852313092259726846541725238299181426473829
Found probable prime factor of 47 digits: 31989852313092259726846541725238299181426473829
Composite cofactor 

c161

name 名前Cyp
date 日付June 23, 2015 16:06:40 UTC 2015 年 6 月 24 日 (水) 1 時 6 分 40 秒 (日本時間)
composite number 合成数
10036568293951293022613008583105212723450070966879788087744628668673073245059277304204331994106411056332644332904649644502762875095463893298198229729695717739769<161>
prime factors 素因数
305949216407332215201955132307341435922137<42>
32804687038612601583421191515763893431019637007267842327750159227720866968262201361911476464585509557882332144061711137<119>
factorization results 素因数分解の結果
Run 521 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=645687006
Step 1 took 50521ms
Step 2 took 16947ms
********** Factor found in step 2: 305949216407332215201955132307341435922137
Found probable prime factor of 42 digits: 305949216407332215201955132307341435922137
Probable prime cofactor 32804687038612601583421191515763893431019637007267842327750159227720866968262201361911476464585509557882332144061711137 has 119 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:36 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 36 秒 (日本時間)
403e60 / 275--
4511e6521 / 4434CypJune 23, 2015 16:06:40 UTC 2015 年 6 月 24 日 (水) 1 時 6 分 40 秒 (日本時間)

93×10229-1

c198

name 名前Serge Batalov
date 日付November 18, 2014 06:38:29 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 29 秒 (日本時間)
composite number 合成数
186253731367276463521915334517127928288961549845708945885786791363317556022935009169301752270275947121709356891067614272727463957276284018042554727265641066688699172453181327216777213675673235157091<198>
prime factors 素因数
522129167249076639588973859953<30>
composite cofactor 合成数の残り
356719645348649777657609995704403266524175173543882945594934416895804350532379331365929341382373458472040336917263576137458117857189695704045304084010088886609600048147<168>
factorization results 素因数分解の結果
Input number is 186253731367276463521915334517127928288961549845708945885786791363317556022935009169301752270275947121709356891067614272727463957276284018042554727265641066688699172453181327216777213675673235157091 (198 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2378696836
Step 1 took 5854ms
Step 2 took 3951ms
********** Factor found in step 2: 522129167249076639588973859953
Found probable prime factor of 30 digits: 522129167249076639588973859953
Composite cofactor 356719645348649777657609995704403266524175173543882945594934416895804350532379331365929341382373458472040336917263576137458117857189695704045304084010088886609600048147 has 168 digits

c168

name 名前Serge Batalov
date 日付June 11, 2015 07:07:06 UTC 2015 年 6 月 11 日 (木) 16 時 7 分 6 秒 (日本時間)
composite number 合成数
356719645348649777657609995704403266524175173543882945594934416895804350532379331365929341382373458472040336917263576137458117857189695704045304084010088886609600048147<168>
prime factors 素因数
587319027126286854728777910481341928079<39>
4765326486003191087597051118794563776928747627<46>
127456003337676668046352628742490478965361345492082016956319596444890572678027475959<84>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1891732714
Step 1 took 8129ms
Step 2 took 4092ms
********** Factor found in step 2: 587319027126286854728777910481341928079
Found probable prime factor of 39 digits: 587319027126286854728777910481341928079
Composite cofactor 607369468505141751216934623457764293871275433838787924159253740707509515045640420486584746694856153174684771341121314521720799293 has 129 digits

Divisors found:
 r1=4765326486003191087597051118794563776928747627 (pp46)
 r2=127456003337676668046352628742490478965361345492082016956319596444890572678027475959 (pp84)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 44.02 hours.
Scaled time: 105.65 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  607369468505141751216934623457764293871275433838787924159253740707509515045640420486584746694856153174684771341121314521720799293
skew:  790545.71
Y0:  -15075505216606089299245825
Y1:  19840656348707
c0:  48508950928013297508184457718624
c1:  153242497755978089695468668
c2:  556347885439205344928
c3:  362627088241973
c4:  -1395257656
c5:  780
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [3100000, 7600001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1085978 x 1086205
Total sieving time: 42.65 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 44.02 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:37 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 37 秒 (日本時間)

93×10230-1

c205

composite cofactor 合成数の残り
1539290911804470300970035315504686309768806746562319332037276746740793322516654162395183476584259775116205238198183872365825941826381684209041135433234247347381409256823251262110232656743710237270175326203<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:37 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 37 秒 (日本時間)
403e60--
4511e6601 / 4434345CypJanuary 2, 2015 05:12:56 UTC 2015 年 1 月 2 日 (金) 14 時 12 分 56 秒 (日本時間)
256CypJuly 16, 2015 17:14:08 UTC 2015 年 7 月 17 日 (金) 2 時 14 分 8 秒 (日本時間)

93×10231-1

c189

name 名前Cyp
date 日付June 15, 2015 06:50:45 UTC 2015 年 6 月 15 日 (月) 15 時 50 分 45 秒 (日本時間)
composite number 合成数
576777244614429030949794564490257314787323824623874947708965155816310764111440321199302560937376683658942617631306025831611802156140849256600034751487865961448665232179385215376467043654917<189>
prime factors 素因数
1432046876060664869146932593112944461<37>
402764221099418390951981742535997623480982159910845306389376358655701407940837833278264770275786654689054148076263241275568978550352566201113217030150297<153>
factorization results 素因数分解の結果
Run 263 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=647478474
Step 1 took 59329ms
Step 2 took 15660ms
********** Factor found in step 2: 1432046876060664869146932593112944461
Found probable prime factor of 37 digits: 1432046876060664869146932593112944461
Probable prime cofactor 402764221099418390951981742535997623480982159910845306389376358655701407940837833278264770275786654689054148076263241275568978550352566201113217030150297 has 153 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:38 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 38 秒 (日本時間)
403e60 / 1165--
4511e6263 / 4434CypJune 15, 2015 06:50:45 UTC 2015 年 6 月 15 日 (月) 15 時 50 分 45 秒 (日本時間)

93×10232-1

c197

composite cofactor 合成数の残り
73982820309351513693319971280711626844902792005945230539457457575795523923579502037608685359349764956587767688425016763799493227453170864612731983200156625071413015040706001427741527777036884143727<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:38 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 38 秒 (日本時間)
403e60--
4511e6601 / 4434345CypJanuary 6, 2015 16:01:45 UTC 2015 年 1 月 7 日 (水) 1 時 1 分 45 秒 (日本時間)
256CypJune 24, 2015 21:42:58 UTC 2015 年 6 月 25 日 (木) 6 時 42 分 58 秒 (日本時間)

93×10233-1

c224

composite cofactor 合成数の残り
39939338237812501650835374829840951551449385696053984242866952375737813015977178999133037613720436273741963681066206137716091349183007705805566513524139778603894352196523113021794086369775756977137846785562888868836106818303<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:39 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 39 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 27, 2015 07:17:09 UTC 2015 年 6 月 27 日 (土) 16 時 17 分 9 秒 (日本時間)

93×10234-1

c216

name 名前Serge Batalov
date 日付November 18, 2014 06:38:43 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 43 秒 (日本時間)
composite number 合成数
427412221376522318059757546248067345352424218056355389786959175501089624731499189876011154080893125511957292763586646332928724027049176243767328751433364510787880510366891381953062784894726728487932034852413077011249<216>
prime factors 素因数
34503666507487518580646646583<29>
composite cofactor 合成数の残り
12387443557158515436578937831523609744657419437613673146526773442164260505519415960172918647580073096132306445923456864919526422328780458463205754349963717412675720177079469962226043660503<188>
factorization results 素因数分解の結果
Input number is 427412221376522318059757546248067345352424218056355389786959175501089624731499189876011154080893125511957292763586646332928724027049176243767328751433364510787880510366891381953062784894726728487932034852413077011249 (216 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=190700721
Step 1 took 6043ms
Step 2 took 3454ms
********** Factor found in step 2: 34503666507487518580646646583
Found probable prime factor of 29 digits: 34503666507487518580646646583
Composite cofactor 12387443557158515436578937831523609744657419437613673146526773442164260505519415960172918647580073096132306445923456864919526422328780458463205754349963717412675720177079469962226043660503 has 188 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:39 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 39 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 17, 2015 00:32:06 UTC 2015 年 5 月 17 日 (日) 9 時 32 分 6 秒 (日本時間)

93×10236-1

c221

composite cofactor 合成数の残り
43492262552133461879321588705348318996799017594133654899997024141645345035965202215483969679692430262954766583568643792712637069529628022522805953153843488010640846974078453944190882792709494470785110466499226372163660943<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:40 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 40 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 27, 2015 08:09:10 UTC 2015 年 6 月 27 日 (土) 17 時 9 分 10 秒 (日本時間)

93×10237-1

c233

name 名前Serge Batalov
date 日付December 18, 2014 01:38:19 UTC 2014 年 12 月 18 日 (木) 10 時 38 分 19 秒 (日本時間)
composite number 合成数
12536941851641604690811378744113872099197676163242845821093525990630725456206507427733629618565566251199603347336513223036104909668637842395003449007067465058666821603496431757179117984350930840971319116800755775384914446156328654987<233>
prime factors 素因数
2103059215031448735995204008355971334833843<43>
composite cofactor 合成数の残り
5961288090242446984770226805413221610462737224390463816444198785508696380105811104504466194267175090128748596645775250346515384006272875260462306390966291377424547667050067448945214025732809<190>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1962426349
Step 1 took 79938ms
Step 2 took 31789ms
********** Factor found in step 2: 2103059215031448735995204008355971334833843
Found probable prime factor of 43 digits: 2103059215031448735995204008355971334833843
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:40 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 40 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:42 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 42 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:42 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 42 秒 (日本時間)
4511e61000 / 3974Serge BatalovDecember 18, 2014 00:18:57 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 57 秒 (日本時間)

93×10238-1

c198

composite cofactor 合成数の残り
144139718839675499499518862917277995492113339277749111844662759994846191749675367678511371298025029888701767441385208447700682710718757914124133226791628837893811828586474821449396541464645245854673<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:40 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 40 秒 (日本時間)
403e60--
4511e6601 / 4434CypFebruary 5, 2015 18:01:50 UTC 2015 年 2 月 6 日 (金) 3 時 1 分 50 秒 (日本時間)

93×10239-1

c223

composite cofactor 合成数の残り
9955755231131174653846222021098289788816693483060477849205560691719357157216299789409194849311210724697353773942822773257180506071161378898020454004076042975674664134961747167025333932588697016325887973110994185042151349257<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:41 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 41 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 28, 2015 07:11:21 UTC 2015 年 6 月 28 日 (日) 16 時 11 分 21 秒 (日本時間)

93×10241-1

c243

name 名前Bob Backstrom
date 日付April 20, 2019 11:58:49 UTC 2019 年 4 月 20 日 (土) 20 時 58 分 49 秒 (日本時間)
composite number 合成数
929999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<243>
prime factors 素因数
42089515124637526431870213179068514263685517135286954009719889<62>
149330060822089508725166796436786898287380362844696723440832667376990488706527482533<84>
147965949006150091482827624286720789298602296856259013663368707340703372689581514748404608267872227<99>
factorization results 素因数分解の結果
Number: n
N=929999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 243 digits)
SNFS difficulty: 242 digits.
Divisors found:

Sat Apr 20 19:54:14 2019  found factor: 149330060822089508725166796436786898287380362844696723440832667376990488706527482533
Sat Apr 20 21:41:14 2019  p62 factor: 42089515124637526431870213179068514263685517135286954009719889
Sat Apr 20 21:41:14 2019  p84 factor: 149330060822089508725166796436786898287380362844696723440832667376990488706527482533
Sat Apr 20 21:41:14 2019  p99 factor: 147965949006150091482827624286720789298602296856259013663368707340703372689581514748404608267872227
Sat Apr 20 21:41:14 2019  elapsed time 111:20:34 (Msieve 1.54 - dependency 6)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# N = 93x10^241-1 = 929(241)
#
n: 929999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 10000000000000000000000000000000000000000
deg: 6
c6: 930
c0: -1
skew: 0.32
# Murphy_E = 2.611e-13
type: snfs
lss: 1
rlim: 78000000
alim: 78000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
Factor base limits: 78000000/78000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 61/61
Sieved  special-q in [100000, 280600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 27232169 hash collisions in 120365944 relations (93043665 unique)
Msieve: matrix is 13282436 x 13282661 (4674.0 MB)

Sieving start time: 2019/04/07 15:45:17
Sieving end time  : 2019/04/16 06:13:05

Total sieving time: 206hrs 27min 48secs.

Total relation processing time: 106hrs 59min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 3hrs 33min 19sec.

Prototype def-par.txt line would be:
snfs,242,6,0,0,0,0,0,0,0,0,78000000,78000000,30,30,61,61,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285104K/16703460K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 418356K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.04 BogoMIPS (lpj=11978096)
[    0.078215] smpboot: Total of 16 processors activated (95824.76 BogoMIPS)


--- NEWTON ITERATION FAILED TO CONVERGE (3 TIMES) ---

...
Sat Apr 20 18:07:55 2019  commencing square root phase
Sat Apr 20 18:07:55 2019  reading relations for dependency 1
Sat Apr 20 18:07:57 2019  read 6637956 cycles
Sat Apr 20 18:08:06 2019  cycles contain 19385140 unique relations
Sat Apr 20 18:09:36 2019  read 19385140 relations
Sat Apr 20 18:10:55 2019  multiplying 19385140 relations
Sat Apr 20 18:26:34 2019  multiply complete, coefficients have about 667.04 million bits
Sat Apr 20 18:26:37 2019  initial square root is modulo 964783
Sat Apr 20 18:43:21 2019  Newton iteration failed to converge
Sat Apr 20 18:43:21 2019  algebraic square root failed
Sat Apr 20 18:43:21 2019  reading relations for dependency 2
Sat Apr 20 18:43:22 2019  read 6641110 cycles
Sat Apr 20 18:43:32 2019  cycles contain 19393062 unique relations
Sat Apr 20 18:45:02 2019  read 19393062 relations
Sat Apr 20 18:46:23 2019  multiplying 19393062 relations
Sat Apr 20 19:02:01 2019  multiply complete, coefficients have about 667.31 million bits
Sat Apr 20 19:02:04 2019  initial square root is modulo 970087
Sat Apr 20 19:18:48 2019  Newton iteration failed to converge
Sat Apr 20 19:18:48 2019  algebraic square root failed
Sat Apr 20 19:18:48 2019  reading relations for dependency 3
Sat Apr 20 19:18:49 2019  read 6644044 cycles
Sat Apr 20 19:18:59 2019  cycles contain 19398420 unique relations
Sat Apr 20 19:20:29 2019  read 19398420 relations
Sat Apr 20 19:21:49 2019  multiplying 19398420 relations
Sat Apr 20 19:37:27 2019  multiply complete, coefficients have about 667.49 million bits
Sat Apr 20 19:37:31 2019  initial square root is modulo 973597
Sat Apr 20 19:54:14 2019  found factor: 149330060822089508725166796436786898287380362844696723440832667376990488706527482533
Sat Apr 20 19:54:14 2019  reading relations for dependency 4
Sat Apr 20 19:54:15 2019  read 6641929 cycles
Sat Apr 20 19:54:25 2019  cycles contain 19395414 unique relations
Sat Apr 20 19:55:54 2019  read 19395414 relations
Sat Apr 20 19:57:15 2019  multiplying 19395414 relations
Sat Apr 20 20:12:55 2019  multiply complete, coefficients have about 667.40 million bits
Sat Apr 20 20:12:58 2019  initial square root is modulo 971767
Sat Apr 20 20:29:41 2019  Newton iteration failed to converge
Sat Apr 20 20:29:41 2019  algebraic square root failed
Sat Apr 20 20:29:41 2019  reading relations for dependency 5
Sat Apr 20 20:29:43 2019  read 6641698 cycles
Sat Apr 20 20:29:52 2019  cycles contain 19391848 unique relations
Sat Apr 20 20:31:21 2019  read 19391848 relations
Sat Apr 20 20:32:43 2019  multiplying 19391848 relations
Sat Apr 20 20:48:44 2019  multiply complete, coefficients have about 667.27 million bits
Sat Apr 20 20:48:47 2019  initial square root is modulo 969343
Sat Apr 20 21:05:47 2019  Newton iteration failed to converge
Sat Apr 20 21:05:47 2019  algebraic square root failed
Sat Apr 20 21:05:47 2019  reading relations for dependency 6
Sat Apr 20 21:05:48 2019  read 6639392 cycles
Sat Apr 20 21:05:58 2019  cycles contain 19386834 unique relations
Sat Apr 20 21:07:27 2019  read 19386834 relations
Sat Apr 20 21:08:48 2019  multiplying 19386834 relations
Sat Apr 20 21:24:26 2019  multiply complete, coefficients have about 667.09 million bits
Sat Apr 20 21:24:29 2019  initial square root is modulo 965779
Sat Apr 20 21:41:14 2019  sqrtTime: 12799
Sat Apr 20 21:41:14 2019  p62 factor: 42089515124637526431870213179068514263685517135286954009719889
Sat Apr 20 21:41:14 2019  p84 factor: 149330060822089508725166796436786898287380362844696723440832667376990488706527482533
Sat Apr 20 21:41:14 2019  p99 factor: 147965949006150091482827624286720789298602296856259013663368707340703372689581514748404608267872227
Sat Apr 20 21:41:14 2019  elapsed time 111:20:34

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:41 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 41 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:45 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 45 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:46 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 46 秒 (日本時間)
4511e640001000Serge BatalovDecember 18, 2014 00:19:02 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 2 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:51 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 51 秒 (日本時間)
2000Serge BatalovDecember 20, 2014 04:02:08 UTC 2014 年 12 月 20 日 (土) 13 時 2 分 8 秒 (日本時間)
5043e6500 / 1576Serge BatalovJanuary 11, 2015 01:24:51 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 51 秒 (日本時間)
5511e70 / 14998--
6026e71000 / 41892Serge BatalovMay 16, 2017 01:44:28 UTC 2017 年 5 月 16 日 (火) 10 時 44 分 28 秒 (日本時間)

93×10242-1

c228

name 名前Cyp
date 日付May 13, 2015 06:13:09 UTC 2015 年 5 月 13 日 (水) 15 時 13 分 9 秒 (日本時間)
composite number 合成数
676221549715472180711543793548907410298843844969803466413712076046231769312649241465631284223298273871663400633603701386559320237563591433451092937643790321011147359733369722669390146384404436649857437904693828067349502416019837<228>
prime factors 素因数
602292001588208202297076762640495736289688839<45>
composite cofactor 合成数の残り
1122747019605633405506432035739630145054821306592805666524505718884262943146233223211645072599508892476213939867169750577694106649688391111107854349540548295420700813865498287288225883<184>
factorization results 素因数分解の結果
Run 166 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1096484741
Step 1 took 79918ms
Step 2 took 23831ms
********** Factor found in step 2: 602292001588208202297076762640495736289688839
Found probable prime factor of 45 digits: 602292001588208202297076762640495736289688839
Composite cofactor 1122747019605633405506432035739630145054821306592805666524505718884262943146233223211645072599508892476213939867169750577694106649688391111107854349540548295420700813865498287288225883 has 184 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:42 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 42 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 13, 2015 06:13:09 UTC 2015 年 5 月 13 日 (水) 15 時 13 分 9 秒 (日本時間)

93×10245-1

c244

name 名前Serge Batalov
date 日付November 19, 2014 00:37:28 UTC 2014 年 11 月 19 日 (水) 9 時 37 分 28 秒 (日本時間)
composite number 合成数
1836855619198103890973730989531898084139838040687339522022516294686944499308710250839423266837843175982619000592534070709065771281848706300612285206399367963657910329843966028046612680229113174007505431562314833102903416946474422279281058660873<244>
prime factors 素因数
96369487734684207500313201288170730003280982051<47>
composite cofactor 合成数の残り
19060551865287167600120271595099458100723359019052556114370603925167115971703600182967916476867387348105479141059131768099395177432280223047919361172745484039948920715106752031740680191388905738723<197>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2978404791
Step 1 took 84183ms
Step 2 took 28249ms
********** Factor found in step 2: 96369487734684207500313201288170730003280982051
Found probable prime factor of 47 digits: 96369487734684207500313201288170730003280982051
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:42 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 42 秒 (日本時間)
403e62100Serge BatalovNovember 19, 2014 00:15:34 UTC 2014 年 11 月 19 日 (水) 9 時 15 分 34 秒 (日本時間)
4511e64440Serge BatalovNovember 19, 2014 00:30:42 UTC 2014 年 11 月 19 日 (水) 9 時 30 分 42 秒 (日本時間)

93×10246-1

c216

composite cofactor 合成数の残り
376534240365040595579028932224490270680322657470218997152982615378152537314144106994356019701813363002681634160548681457540685991682665809405642848390801277404544523636711958351540329252735571329202050180858260672809<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:42 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 42 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 29, 2015 21:10:37 UTC 2015 年 5 月 30 日 (土) 6 時 10 分 37 秒 (日本時間)

93×10247-1

c249

name 名前NFS@Home + Dmitry Domanov
date 日付November 28, 2016 10:44:58 UTC 2016 年 11 月 28 日 (月) 19 時 44 分 58 秒 (日本時間)
composite number 合成数
929999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<249>
prime factors 素因数
913471142464677628405871143644065711176355800353156179014750240837863999112572098851<84>
1018094559058237041498019534230885695909116960976023414318297655238028074996922271351015638587163724909886787539497975702108924746730018047917462532553639370561151349<166>
factorization results 素因数分解の結果
913471142464677628405871143644065711176355800353156179014750240837863999112572098851
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:43 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 43 秒 (日本時間)
403e62100Serge BatalovNovember 19, 2014 00:15:17 UTC 2014 年 11 月 19 日 (水) 9 時 15 分 17 秒 (日本時間)
4511e64440Serge BatalovNovember 19, 2014 00:30:48 UTC 2014 年 11 月 19 日 (水) 9 時 30 分 48 秒 (日本時間)
5043e62000Serge BatalovJanuary 4, 2015 08:43:05 UTC 2015 年 1 月 4 日 (日) 17 時 43 分 5 秒 (日本時間)
5511e75600 / 167601000Serge BatalovJanuary 4, 2015 08:59:39 UTC 2015 年 1 月 4 日 (日) 17 時 59 分 39 秒 (日本時間)
1100Serge BatalovJanuary 4, 2015 10:45:24 UTC 2015 年 1 月 4 日 (日) 19 時 45 分 24 秒 (日本時間)
1100Serge BatalovJanuary 6, 2015 01:22:58 UTC 2015 年 1 月 6 日 (火) 10 時 22 分 58 秒 (日本時間)
2400Dmitry DomanovMay 27, 2016 16:43:47 UTC 2016 年 5 月 28 日 (土) 1 時 43 分 47 秒 (日本時間)

93×10248-1

c247

composite cofactor 合成数の残り
1466183194072205580955383887750275894687056597824373324925114299227494876241526091754690209679962163014346523726943086867412896105943559829733564559356771243890903358032476746019233801040517105470597509065111146145357086552104682326974617688790793<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:43 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 43 秒 (日本時間)
403e62100Serge BatalovNovember 19, 2014 00:15:09 UTC 2014 年 11 月 19 日 (水) 9 時 15 分 9 秒 (日本時間)
4511e64440Serge BatalovNovember 19, 2014 00:30:54 UTC 2014 年 11 月 19 日 (水) 9 時 30 分 54 秒 (日本時間)

93×10249-1

c228

composite cofactor 合成数の残り
256874513318835418190489466845197929927173709519385115397924292163951521320697774789048537993600694619967875649092905671962040717773462227202031319804035178095936814685554548697926427585200302436735541262174243710126793099495689<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:44 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 44 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 24, 2015 09:47:10 UTC 2015 年 5 月 24 日 (日) 18 時 47 分 10 秒 (日本時間)

93×10250-1

c135

name 名前KTakahashi
date 日付November 19, 2014 18:08:07 UTC 2014 年 11 月 20 日 (木) 3 時 8 分 7 秒 (日本時間)
composite number 合成数
318235620223070086385033545995346602744965538908354329208831686094504442085898176408504114879476011921697744221475715494129487649897563<135>
prime factors 素因数
1042500912347923647718048767593479768781<40>
305261718674508282554977580210897814733257360977112324993023012536876756270631407133619270087623<96>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 318235620223070086385033545995346602744965538908354329208831686094504442085898176408504114879476011921697744221475715494129487649897563 (135 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1864674593
Step 1 took 30061ms
Step 2 took 12949ms
********** Factor found in step 2: 1042500912347923647718048767593479768781
Found probable prime factor of 40 digits: 1042500912347923647718048767593479768781
Probable prime cofactor 305261718674508282554977580210897814733257360977112324993023012536876756270631407133619270087623 has 96 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:51:44 UTC 2014 年 11 月 18 日 (火) 5 時 51 分 44 秒 (日本時間)

93×10252-1

c202

composite cofactor 合成数の残り
5683288112333856007430336948104833026323228245049696302797718669371312866522800604045504395784072508172962021495381308114156924494050606197459574550022207424181487998435610287446424634950549146238154433<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10256-1

c246

composite cofactor 合成数の残り
134344461799304704843256957698141628286401507581615275337443975952610736995770641802098622992350243715697199615503430331744653590051883138985444953622831203281000532254282974045267601879648146728558119127959946740236629772192888191529934485082709<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10257-1

c254

composite cofactor 合成数の残り
37648620967448111699005347723472903113500471619821796527420745604624708020775561591929431100999510163103541804138109715368329008464867359455268985227976568793746280680589909359932961165245060136587577574376267604778541095696317317151173382020152132814619<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10259-1

c256

composite cofactor 合成数の残り
3283121577875290803376319867827879703601196044721058224219552577603462457681268908838657520996092026250851669979206896673456491578616640837090095210525758383433297913276167008511404434685296910688502367024750500411272756798356321068108886668761274698429397<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e66767856QWERTYFebruary 26, 2024 00:26:39 UTC 2024 年 2 月 26 日 (月) 9 時 26 分 39 秒 (日本時間)
5043e60--
5511e70--
6026e70--
6585e765555QWERTYFebruary 26, 2024 00:26:48 UTC 2024 年 2 月 26 日 (月) 9 時 26 分 48 秒 (日本時間)

93×10260-1

c244

composite cofactor 合成数の残り
2131807501121502442662394156081148597552006088873041724664002555540656483805950347678781641855972639635935422713475530923685980816931013015830751445290951013657350409165296126115782874945440065148419582624613077790222318208716857886407667142519<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10262-1

c229

composite cofactor 合成数の残り
2803631383309343403263594627865440331354837236231335129267767113204005608535064117308512852573640841273583238855501273138636650019406402336884976585351546176010990595762722346900153706532168456735052208567317561903363073921594889<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10263-1

c227

composite cofactor 合成数の残り
14417068884822243460116069711321192939982930292308419933527183359238642335262498867724773168052443667126642361168214647626495308871646193121773680748564338517498344153267131476784579289144859597406506294140204335153081021791053<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10264-1

c224

composite cofactor 合成数の残り
14024256358209584425296827151857371150997597861171693620194411920645021838174678143138224594117436781667988498666703847742742548976476908996311095382097222466048101184017121125403258013383007821567749335520916492373205562437<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10267-1

c242

composite cofactor 合成数の残り
29315126198609423144203496446869739189149090979329308918482766315045083307361966769697101560851406836175312963688393237668795733542922509743810399865800673770231928760580710941037180985226070433188676645755153756604095780186701478894674115673<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10268-1

c260

composite cofactor 合成数の残り
42009817083619423217950806006310991445031905726323831547770827093080856604503505179183619284725587153674279116267208104921088701092588282645516187453343521655959679771503513111676037137581558158714268740196535726123098252220638400270928375249027120631265057081<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10270-1

c264

composite cofactor 合成数の残り
477081362732947351255303406997551387600633836960768465832994857786226643616215581022797086682651833464972735082264703997715590797835115581911809991646305338546091879519637343472875203112901514816944163264260040163171470280065176290823012186766396028327408709545033<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10272-1

c240

composite cofactor 合成数の残り
968119211833082237290770725094610635966570828059440735550901559349523236429551883376374701510637309563416824675812494492630560750530081873483259058855783478788157662281117381597383830564533739306740105736613473731925630999850805483418115997<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10274-1

c274

composite cofactor 合成数の残り
1116446578631452581032412965186074429771908763505402160864345738295318127250900360144057623049219687875150060024009603841536614645858343337334933973589435774309723889555822328931572629051620648259303721488595438175270108043217286914765906362545018007202881152460984393757503<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10276-1

c251

composite cofactor 合成数の残り
31233704981983519858865359724087887951547308189936437080903856596964400741985671308747113728904911347083585970128441058720521600498705251756707127039248057453879829766905993095492310382256032979070484788885517005686099060117575231268736573414639869577<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10277-1

c258

composite cofactor 合成数の残り
144606230176140459571981233957195096247774710049955567374224188855376484015059877026171950258961561302191117363109834140902947505080992966109479109073893064849806936616908231931087270932459826935757528460985792750637616277295128560316706985466720737572412553<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10278-1

c251

composite cofactor 合成数の残り
35788882415424794665913646082871758349973278040445145191008878924171209633036297755143946821673554920044309233611143631853168289016518773156540600310077738049566432392311493403658676711559609173116325515237212184255037632305377712256751808784412029863<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10279-1

c232

composite cofactor 合成数の残り
3412031697376991425732739326045451940094633079733166322183332375490914755486614180094318274163294213965977955045318790662727758009614953472598525312994487036926550900743947564961749712034686418994711843754905086620655836797448673971<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10282-1

c266

composite cofactor 合成数の残り
26842777641739455486425387417958738439282131124197049491729735224839337364066179686303992389133410672394745350485836849126906022411891996702662157440135351276949424514636979783993666223241185354342704252803170328434997311134817778383901425084032730373651840894598683<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10283-1

c262

composite cofactor 合成数の残り
9021757012778778631667098741035403565215226443626396705587415782082189984903980015048817943772919982490976665580899219157435716816191871723338373055180026370513247729196612242009430688885738011445987806515315156066374173538670073035608875003169860535384375620629<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10284-1

c271

composite cofactor 合成数の残り
1675266346214677766478906569376055464920363140003012457959499284204667009461102584034151424104041439136389201383633753644292772455297576506946796257031639961565076716728701629961540905569348323604879224046460062633540982500403667093625029583453024804927696246115857100637<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10286-1

c203

composite cofactor 合成数の残り
54978165334080303069311000921490660269712045554634626006508689437276800964858169330457367148859577464483379826643259009398544285090046966267509087763643950349209395623660224439349395447150274274363753977<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10287-1

c263

composite cofactor 合成数の残り
95802210305770184247720911109794405482342217455445589028744981832043186525872772517087120325877918706044569931587681049852899793811247014412208243101680495184282764587665541804493035074248599601136005580247586704274042742958884665535173538096715547363909184367223<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10288-1

c274

composite cofactor 合成数の残り
1119093519407320355848772081393254905429088473554673072326319882992922041424182715908075513872689236979574047180513626016051852307984208938657750502020250361425122076986886349303286220522870467831335368794405925256268384530409597763648612206753161884552619424950534706589803<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10289-1

c227

composite cofactor 合成数の残り
32461185513679455894852551793280179692600234510564585943163001620397375663611541435901267655044433694752660348449666885798887172541977905586874874195957917990398122845867049709609615864843358014584338612379070460690545091616197<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10290-1

c291

composite cofactor 合成数の残り
547058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10291-1

c276

composite cofactor 合成数の残り
150593732918684108817595194322945744540038824457929518130942135717907328919334745026849637201253046622164527447242474132422319857681438068824712982720080406420525959264621044575340573271389446944085012084710761412855174951510186048564761725124482763655041789799011344943211483<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10292-1

c261

composite cofactor 合成数の残り
763206487866322590075470862503229467797749160907355197377612354255344535508943365193925492257984592282996408049987738623542465417412813604079393820068686606823401283728608802168596374599314256752554568042505280650297542687469504501436219894977406372452718562211<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10293-1

c286

composite cofactor 合成数の残り
9178520799477072233185164801046615080899270134981034279366071071432152955063113922079930662808887659594355510132163682385277981880062292863916908623742479856559182316019133883965165713391582548920250113586415503399610112819604372177921291067395163164891392867879364877271565588711345559<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10294-1

c285

composite cofactor 合成数の残り
245445436188335306415544349834174766812813362899992887941106708109291870846832251909015813872307989471778868555602264211197313831177606421227866671923660653692643519084824981521659008888714440078785450436035226588477163907825941565417859884003151038021456300521401944617169380843072571<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10295-1

c217

composite cofactor 合成数の残り
2709502920118384795952576348661615405777891599208499622747204049001974590155538077551505110845665227340656484102412474443347756218153102193780028072339505839378228398803873450488533397110152257625367120365253461461337<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10296-1

c298

composite cofactor 合成数の残り
9299999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<298>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e60--
5043e652002000Serge BatalovDecember 17, 2018 00:53:52 UTC 2018 年 12 月 17 日 (月) 9 時 53 分 52 秒 (日本時間)
3200Dmitry DomanovJune 4, 2019 14:58:24 UTC 2019 年 6 月 4 日 (火) 23 時 58 分 24 秒 (日本時間)
5511e71000 / 15891Dmitry DomanovSeptember 14, 2019 11:40:52 UTC 2019 年 9 月 14 日 (土) 20 時 40 分 52 秒 (日本時間)

93×10297-1

c221

composite cofactor 合成数の残り
28553892670197646794639101599128865951165138620219106845374694976894299494580675474669797314632926624118739155417704209298107208258680065132055917964991470639513379492824425686503526470373272159617535144164079702765150019<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10298-1

c269

composite cofactor 合成数の残り
59408854794275092873392324206523802351113246530440279307211677522180429192773754464873247039615866951943389667761883820428472087018313248171023220121979468128082819577528499340273417155320672982260726752728595170318878617957965367288516984895065775554847816759246838519<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10299-1

c257

composite cofactor 合成数の残り
13736996753078021516033370773680127468225679348814721050980612261033076478043148593404497045778307779216545182092660057662830877253657333065144642064838436735135860838761428894101850539841362651638081967097168849499681712089619788680283840930542085865053013<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)

93×10300-1

c283

composite cofactor 合成数の残り
1161275683209130542697566465774878109197718442987581457888909994331759714869805585571036647526508696183087782740887992311786305944718068989449826316652129953934099910782059189247928038179256676891528541580303756754492005189468972010601661891525320799000138820398440480920106869994621<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62880Erik BrangerDecember 12, 2018 00:00:00 UTC 2018 年 12 月 12 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovDecember 15, 2018 00:56:42 UTC 2018 年 12 月 15 日 (土) 9 時 56 分 42 秒 (日本時間)
5043e6528 / 6996Dmitry DomanovDecember 16, 2018 19:25:43 UTC 2018 年 12 月 17 日 (月) 4 時 25 分 43 秒 (日本時間)