Table of contents 目次

8×10154+19

c138

name 名前suberi
date 日付March 16, 2007 04:39:35 UTC 2007 年 3 月 16 日 (金) 13 時 39 分 35 秒 (日本時間)
composite number 合成数
521149937301225221583231257120702045795537650550148843910205812236172301369042097361478079470627378071760856736045886848228640350271254747<138>
prime factors 素因数
32177707529893710433902536146572371561641868491685058673<56>
16195993354003447450979603450797475454295102425384430441701793883484636403132310539<83>
factorization results 素因数分解の結果
Number: 88889_154
N=521149937301225221583231257120702045795537650550148843910205812236172301369042097361478079470627378071760856736045886848228640350271254747
  ( 138 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=32177707529893710433902536146572371561641868491685058673 (pp56)
 r2=16195993354003447450979603450797475454295102425384430441701793883484636403132310539 (pp83)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 32.41 hours.
Scaled time: 20.03 units (timescale=0.618).
Factorization parameters were as follows:
n: 521149937301225221583231257120702045795537650550148843910205812236172301369042097361478079470627378071760856736045886848228640350271254747
m: 10000000000000000000000000000000
c5: 4
c0: 5
skew: 1.05
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2400001)
Primes: RFBsize:216816, AFBsize:216926, largePrimes:5533675 encountered
Relations: rels:5520996, finalFF:582833
Max relations in full relation-set: 28
Initial matrix: 433806 x 582833 with sparse part having weight 41783728.
Pruned matrix : 323178 x 325411 with weight 25316982.
Total sieving time: 26.72 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 5.18 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 32.41 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.26GHz, Windows XP and Cygwin

8×10157+19

c122

name 名前Jo Yeong Uk
date 日付July 16, 2007 10:03:05 UTC 2007 年 7 月 16 日 (月) 19 時 3 分 5 秒 (日本時間)
composite number 合成数
71334606001089460171433505241882854150874389311670197254671100147853471919307059160203441539544459417073704994902162953321<122>
prime factors 素因数
584698862250581133160768195196298297489539613970663689401<57>
122002299998521265446868714174191654500476089207312611183964015921<66>
factorization results 素因数分解の結果
Number: 88889_157
N=71334606001089460171433505241882854150874389311670197254671100147853471919307059160203441539544459417073704994902162953321
  ( 122 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=584698862250581133160768195196298297489539613970663689401 (pp57)
 r2=122002299998521265446868714174191654500476089207312611183964015921 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.80 hours.
Scaled time: 42.41 units (timescale=2.142).
Factorization parameters were as follows:
n: 71334606001089460171433505241882854150874389311670197254671100147853471919307059160203441539544459417073704994902162953321
m: 20000000000000000000000000000000
c5: 25
c0: 1
skew: 0.53
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2700001)
Primes: RFBsize:216816, AFBsize:216556, largePrimes:5671234 encountered
Relations: rels:5704347, finalFF:614436
Max relations in full relation-set: 28
Initial matrix: 433436 x 614436 with sparse part having weight 47552480.
Pruned matrix : 325242 x 327473 with weight 29562975.
Total sieving time: 19.05 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 19.80 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10158+19

c127

name 名前Jo Yeong Uk
date 日付July 26, 2007 14:35:58 UTC 2007 年 7 月 26 日 (木) 23 時 35 分 58 秒 (日本時間)
composite number 合成数
1672274845849899157699286610421044576382314630035217679398866050298573807484823525552765996029264801596675892531763861780857371<127>
prime factors 素因数
507720820294334799136631537333312339<36>
3293689718850709442805545468432778915791702568309037103083241191944222576426385744129092889<91>
factorization results 素因数分解の結果
Number: 88889_158
N=1672274845849899157699286610421044576382314630035217679398866050298573807484823525552765996029264801596675892531763861780857371
  ( 127 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=507720820294334799136631537333312339 (pp36)
 r2=3293689718850709442805545468432778915791702568309037103083241191944222576426385744129092889 (pp91)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 26.23 hours.
Scaled time: 56.17 units (timescale=2.141).
Factorization parameters were as follows:
n: 1672274845849899157699286610421044576382314630035217679398866050298573807484823525552765996029264801596675892531763861780857371
m: 100000000000000000000000000000000
c5: 2
c0: 25
skew: 1.66
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: RFBsize:283146, AFBsize:282402, largePrimes:5682679 encountered
Relations: rels:5768719, finalFF:704676
Max relations in full relation-set: 28
Initial matrix: 565613 x 704676 with sparse part having weight 43802932.
Pruned matrix : 450587 x 453479 with weight 27244630.
Total sieving time: 25.05 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.04 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 26.23 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

8×10160+19

c129

name 名前Jo Yeong Uk
date 日付November 3, 2007 02:52:55 UTC 2007 年 11 月 3 日 (土) 11 時 52 分 55 秒 (日本時間)
composite number 合成数
798686650063927990314125701018237249713184766388387794727385204591609598499027731309396698824991490472673979526416377225579124843<129>
prime factors 素因数
584055110117804933562252574038305701305028939<45>
1367485081849265048121060885327005302341443223828135540212293179914394095612984131937<85>
factorization results 素因数分解の結果
Number: 88889_160
N=798686650063927990314125701018237249713184766388387794727385204591609598499027731309396698824991490472673979526416377225579124843
  ( 129 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=584055110117804933562252574038305701305028939 (pp45)
 r2=1367485081849265048121060885327005302341443223828135540212293179914394095612984131937 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 27.65 hours.
Scaled time: 59.31 units (timescale=2.145).
Factorization parameters were as follows:
n: 798686650063927990314125701018237249713184766388387794727385204591609598499027731309396698824991490472673979526416377225579124843
m: 200000000000000000000000000000000
c5: 1
c0: 4
skew: 1.32
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:282707, largePrimes:5654427 encountered
Relations: rels:5714441, finalFF:680834
Max relations in full relation-set: 28
Initial matrix: 565917 x 680834 with sparse part having weight 42328056.
Pruned matrix : 473624 x 476517 with weight 27571459.
Total sieving time: 26.35 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 27.65 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quda Q6600

8×10161+19

c155

name 名前Robert Backstrom
date 日付June 8, 2007 15:51:34 UTC 2007 年 6 月 9 日 (土) 0 時 51 分 34 秒 (日本時間)
composite number 合成数
30928556850727534375834466961593652655991752591030184995683339981040021436582753239254075890869051080560655867883720843021220508122940858838857695506270127<155>
prime factors 素因数
20551810746861218705246366224186858134216473117184809940650521769<65>
1504906659159028468961208577641797976861017330391535785231117565171524456762298528051525783<91>
factorization results 素因数分解の結果
Number: n
N=30928556850727534375834466961593652655991752591030184995683339981040021436582753239254075890869051080560655867883720843021220508122940858838857695506270127
  ( 155 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=20551810746861218705246366224186858134216473117184809940650521769 (pp65)
 r2=1504906659159028468961208577641797976861017330391535785231117565171524456762298528051525783 (pp91)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.08 hours.
Scaled time: 50.90 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_8_160_9
n: 30928556850727534375834466961593652655991752591030184995683339981040021436582753239254075890869051080560655867883720843021220508122940858838857695506270127
skew: 0.83
deg: 5
c5: 5
c0: 2
m: 200000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1600001)
Primes: RFBsize:250150, AFBsize:249566, largePrimes:7153402 encountered
Relations: rels:6692688, finalFF:576485
Max relations in full relation-set: 28
Initial matrix: 499781 x 576485 with sparse part having weight 35524689.
Pruned matrix : 433288 x 435850 with weight 22114077.
Total sieving time: 30.66 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 4.16 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 35.08 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8×10164+19

c162

name 名前Robert Backstrom
date 日付June 24, 2007 07:30:51 UTC 2007 年 6 月 24 日 (日) 16 時 30 分 51 秒 (日本時間)
composite number 合成数
100895447092949930634380123596922688863665027115651406230293857989658216672972632109976037331315424391474334720645730861394879556060032791020305208727456173540169<162>
prime factors 素因数
438099651139842378074782985862900871663962476527603599689<57>
230302504990454513418307626464605022752045200943246897387527811045552664240151617880164349500151770360321<105>
factorization results 素因数分解の結果
Number: n
N=100895447092949930634380123596922688863665027115651406230293857989658216672972632109976037331315424391474334720645730861394879556060032791020305208727456173540169
  ( 162 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=438099651139842378074782985862900871663962476527603599689 (pp57)
 r2=230302504990454513418307626464605022752045200943246897387527811045552664240151617880164349500151770360321 (pp105)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 45.31 hours.
Scaled time: 65.87 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_8_163_9
n: 100895447092949930634380123596922688863665027115651406230293857989658216672972632109976037331315424391474334720645730861394879556060032791020305208727456173540169
skew: 1.05
deg: 5
c5: 4
c0: 5
m: 1000000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:283146, AFBsize:283197, largePrimes:5489253 encountered
Relations: rels:5506229, finalFF:648965
Max relations in full relation-set: 28
Initial matrix: 566407 x 648965 with sparse part having weight 37677844.
Pruned matrix : 491814 x 494710 with weight 23543322.
Total sieving time: 39.96 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 5.09 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.5,2.5,100000
total time: 45.31 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

8×10169+19

c138

name 名前Jo Yeong Uk
date 日付October 12, 2008 01:09:11 UTC 2008 年 10 月 12 日 (日) 10 時 9 分 11 秒 (日本時間)
composite number 合成数
210377596051195229278114432178007432868301425550480627660077223627399086374121611283425294082727290932956598726259701763200994497679949509<138>
prime factors 素因数
67798627312166014383929640769882002342372388847421981172672289<62>
3102977219325565368707599249750650170581500768570091107590293404218912306981<76>
factorization results 素因数分解の結果
Number: 88889_169
N=210377596051195229278114432178007432868301425550480627660077223627399086374121611283425294082727290932956598726259701763200994497679949509
  ( 138 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=67798627312166014383929640769882002342372388847421981172672289 (pp62)
 r2=3102977219325565368707599249750650170581500768570091107590293404218912306981 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 57.72 hours.
Scaled time: 137.30 units (timescale=2.379).
Factorization parameters were as follows:
n: 210377596051195229278114432178007432868301425550480627660077223627399086374121611283425294082727290932956598726259701763200994497679949509
m: 10000000000000000000000000000000000
c5: 4
c0: 5
skew: 1.05
type: snfs
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [3500000, 6700001)
Primes: RFBsize:476648, AFBsize:476559, largePrimes:6565015 encountered
Relations: rels:7040243, finalFF:1111712
Max relations in full relation-set: 28
Initial matrix: 953271 x 1111712 with sparse part having weight 56167175.
Pruned matrix : 811416 x 816246 with weight 37322717.
Total sieving time: 53.99 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.57 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,49,49,2.5,2.5,100000
total time: 57.72 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673800)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.40 BogoMIPS (lpj=2672204)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Luigi MorelliAugust 29, 2008 10:44:43 UTC 2008 年 8 月 29 日 (金) 19 時 44 分 43 秒 (日本時間)
255e4214Luigi MorelliAugust 29, 2008 10:48:52 UTC 2008 年 8 月 29 日 (金) 19 時 48 分 52 秒 (日本時間)

8×10170+19

c161

name 名前Serge Batalov
date 日付August 10, 2008 19:06:02 UTC 2008 年 8 月 11 日 (月) 4 時 6 分 2 秒 (日本時間)
composite number 合成数
32815378673782298576607235073579556585939084838902199304862538597260220415657115437029661430649398611754093077143742580179076977702588819453143262953557765056267<161>
prime factors 素因数
40186975583101099592439039411422087973769840987<47>
816567512176293048559848164336180107760931586096734124270214265473016206624606162885231652725468625601857209063441<114>
factorization results 素因数分解の結果
N=32815378673782298576607235073579556585939084838902199304862538597260220415657115437029661430649398611754093077143742580179076977702588819453143262953557765056267
  ( 161 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=40186975583101099592439039411422087973769840987
 r2=816567512176293048559848164336180107760931586096734124270214265473016206624606162885231652725468625601857209063441
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.384).
Factorization parameters were as follows:
n: 32815378673782298576607235073579556585939084838902199304862538597260220415657115437029661430649398611754093077143742580179076977702588819453143262953557765056267
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 8
c0: 1
skew: 0.66
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 7700001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1009103 x 1009351
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 4.00 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.6,2.6,100000
total time: 41 hours.
software ソフトウェア
Msieve-1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Serge BatalovAugust 9, 2008 01:55:41 UTC 2008 年 8 月 9 日 (土) 10 時 55 分 41 秒 (日本時間)

8×10172+19

c137

name 名前Sinkiti Sibata
date 日付November 2, 2008 09:59:19 UTC 2008 年 11 月 2 日 (日) 18 時 59 分 19 秒 (日本時間)
composite number 合成数
18831948303162667244590918998815998979388665461180031905468570772382957770384992951626941042510712833480481908158471365601449643984507387<137>
prime factors 素因数
14123871181080477763897946609418072128713121<44>
2956392197812963543895136286012007490917219747<46>
451003028266667406944543619427456332464089161001<48>
factorization results 素因数分解の結果
Number: 88889_172
N=18831948303162667244590918998815998979388665461180031905468570772382957770384992951626941042510712833480481908158471365601449643984507387
  ( 137 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=14123871181080477763897946609418072128713121 (pp44)
 r2=2956392197812963543895136286012007490917219747 (pp46)
 r3=451003028266667406944543619427456332464089161001 (pp48)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 100.01 hours.
Scaled time: 100.61 units (timescale=1.006).
Factorization parameters were as follows:
name: 88889_172
n: 18831948303162667244590918998815998979388665461180031905468570772382957770384992951626941042510712833480481908158471365601449643984507387
m: 20000000000000000000000000000000000
deg: 5
c5: 25
c0: 1
skew: 0.53
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [2850000, 5350001)
Primes: RFBsize:393606, AFBsize:392982, largePrimes:11092016 encountered
Relations: rels:12144422, finalFF:1245359
Max relations in full relation-set: 28
Initial matrix: 786652 x 1245359 with sparse part having weight 133842613.
Pruned matrix : 559260 x 563257 with weight 95031013.
Total sieving time: 94.74 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.90 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,53,53,2.6,2.6,100000
total time: 100.01 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

8×10182+19

c175

name 名前Jo Yeong Uk
date 日付March 30, 2009 23:15:44 UTC 2009 年 3 月 31 日 (火) 8 時 15 分 44 秒 (日本時間)
composite number 合成数
5833853330203762714345524825222676540842628502998305272899892469686186017970178843993230892473164621066104172362421750069512185508543521417275161269036073070558931934631994297<175>
prime factors 素因数
2110195633562623203363788636409114570248983488203027<52>
2764603071590345234203219159089774679474933517069560468037418091215396508782747937036376125151482683214742185677398930843011<124>
factorization results 素因数分解の結果
Number: 88889_182
N=5833853330203762714345524825222676540842628502998305272899892469686186017970178843993230892473164621066104172362421750069512185508543521417275161269036073070558931934631994297
  ( 175 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=2110195633562623203363788636409114570248983488203027
 r2=2764603071590345234203219159089774679474933517069560468037418091215396508782747937036376125151482683214742185677398930843011
Version: 
Total time: 78.73 hours.
Scaled time: 187.62 units (timescale=2.383).
Factorization parameters were as follows:
n: 5833853330203762714345524825222676540842628502998305272899892469686186017970178843993230892473164621066104172362421750069512185508543521417275161269036073070558931934631994297
m: 2000000000000000000000000000000000000
deg: 5
c5: 25
c0: 1
skew: 0.53
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, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18294595
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1201370 x 1201618
Total sieving time: 72.82 hours.
Total relation processing time: 2.03 hours.
Matrix solve time: 3.56 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 78.73 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkFebruary 1, 2009 05:41:24 UTC 2009 年 2 月 1 日 (日) 14 時 41 分 24 秒 (日本時間)
255e4204Jo Yeong UkFebruary 1, 2009 05:41:29 UTC 2009 年 2 月 1 日 (日) 14 時 41 分 29 秒 (日本時間)
3025e4403Jo Yeong UkFebruary 1, 2009 05:41:36 UTC 2009 年 2 月 1 日 (日) 14 時 41 分 36 秒 (日本時間)
351e6828Jo Yeong UkFebruary 1, 2009 05:41:41 UTC 2009 年 2 月 1 日 (日) 14 時 41 分 41 秒 (日本時間)
403e62111Jo Yeong UkFebruary 3, 2009 12:51:05 UTC 2009 年 2 月 3 日 (火) 21 時 51 分 5 秒 (日本時間)

8×10184+19

c131

name 名前Jo Yeong Uk
date 日付April 7, 2009 22:41:49 UTC 2009 年 4 月 8 日 (水) 7 時 41 分 49 秒 (日本時間)
composite number 合成数
32299945255435921563264500910223759473383544543244622969530356135443820563047187110300569176110925997216606362828072402522777701457<131>
prime factors 素因数
655200614742021634033184493527939976327840479083596331<54>
49297794490247366498009769287197835197566546266043480968889690856371958296947<77>
factorization results 素因数分解の結果
Number: 88889_184
N=32299945255435921563264500910223759473383544543244622969530356135443820563047187110300569176110925997216606362828072402522777701457
  ( 131 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=655200614742021634033184493527939976327840479083596331
 r2=49297794490247366498009769287197835197566546266043480968889690856371958296947
Version: 
Total time: 90.35 hours.
Scaled time: 215.67 units (timescale=2.387).
Factorization parameters were as follows:
n: 32299945255435921563264500910223759473383544543244622969530356135443820563047187110300569176110925997216606362828072402522777701457
m: 10000000000000000000000000000000000000
deg: 5
c5: 4
c0: 5
skew: 1.05
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, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19738380
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1439655 x 1439903
Total sieving time: 82.17 hours.
Total relation processing time: 2.51 hours.
Matrix solve time: 5.15 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 90.35 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkFebruary 1, 2009 05:41:57 UTC 2009 年 2 月 1 日 (日) 14 時 41 分 57 秒 (日本時間)
255e4204Jo Yeong UkFebruary 1, 2009 05:42:01 UTC 2009 年 2 月 1 日 (日) 14 時 42 分 1 秒 (日本時間)
3025e4403Jo Yeong UkFebruary 1, 2009 05:42:07 UTC 2009 年 2 月 1 日 (日) 14 時 42 分 7 秒 (日本時間)
351e6828Jo Yeong UkFebruary 1, 2009 05:42:13 UTC 2009 年 2 月 1 日 (日) 14 時 42 分 13 秒 (日本時間)
403e62111Jo Yeong UkFebruary 1, 2009 05:44:06 UTC 2009 年 2 月 1 日 (日) 14 時 44 分 6 秒 (日本時間)

8×10188+19

c184

name 名前Robert Backstrom
date 日付December 25, 2008 11:09:47 UTC 2008 年 12 月 25 日 (木) 20 時 9 分 47 秒 (日本時間)
composite number 合成数
8179708188910360622884778585523961432675889287649663098268969254521844933182008731838491661809964929501140046828829381511814566015357402124679202069466171794321237589848982137562242467<184>
prime factors 素因数
200566861506992331136426364484679792245665453316940240273757774540395067<72>
40782949523419614037769977548545749947635754809093559084419918633991991426423339650836469118542851487206338102201<113>
factorization results 素因数分解の結果
Number: n
N=8179708188910360622884778585523961432675889287649663098268969254521844933182008731838491661809964929501140046828829381511814566015357402124679202069466171794321237589848982137562242467
  ( 184 digits)
SNFS difficulty: 190 digits.
Divisors found:

Thu Dec 25 21:52:08 2008  prp72 factor: 200566861506992331136426364484679792245665453316940240273757774540395067
Thu Dec 25 21:52:08 2008  prp113 factor: 40782949523419614037769977548545749947635754809093559084419918633991991426423339650836469118542851487206338102201
Thu Dec 25 21:52:08 2008  elapsed time 04:14:57 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20050930-k8
Total time: 69.18 hours.
Scaled time: 139.12 units (timescale=2.011).
Factorization parameters were as follows:
name: KA_8_187_9
n: 8179708188910360622884778585523961432675889287649663098268969254521844933182008731838491661809964929501140046828829381511814566015357402124679202069466171794321237589848982137562242467
type: snfs
skew: 1.66
deg: 5
c5: 2
c0: 25
m: 100000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 8600001)
Primes: RFBsize:602489, AFBsize:602100, largePrimes:34905775 encountered
Relations: rels:31238877, finalFF:727045
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3975978 hash collisions in 36541534 relations
Msieve: matrix is 1696807 x 1697055 (460.7 MB)

Total sieving time: 68.38 hours.
Total relation processing time: 0.80 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,29,29,58,58,2.5,2.5,100000
total time: 69.18 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.98 BogoMIPS (lpj=2830490)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22643.71 BogoMIPS).

8×10191+19

c188

name 名前Jo Yeong Uk
date 日付January 27, 2009 14:41:57 UTC 2009 年 1 月 27 日 (火) 23 時 41 分 57 秒 (日本時間)
composite number 合成数
34070099229164004940164388228780716323836293173203866956262510114560708658063966611302755419275158638899535794898002640432690260210382862740087730505515097312720923299689110344533878454921<188>
prime factors 素因数
19309596681702726210004771712508766867<38>
1764412783486459285717951078009843334141086331932434701677798688195359927405853534975872523428117711532280972811375506792046840790602551996700236286963<151>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 34070099229164004940164388228780716323836293173203866956262510114560708658063966611302755419275158638899535794898002640432690260210382862740087730505515097312720923299689110344533878454921 (188 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3327473856
Step 1 took 19035ms
Step 2 took 8027ms
********** Factor found in step 2: 19309596681702726210004771712508766867
Found probable prime factor of 38 digits: 19309596681702726210004771712508766867
Probable prime cofactor 1764412783486459285717951078009843334141086331932434701677798688195359927405853534975872523428117711532280972811375506792046840790602551996700236286963 has 151 digits
execution environment 実行環境
Core 2 Quad Q6700

8×10193+19

c187

name 名前Jo Yeong Uk
date 日付April 16, 2009 05:39:17 UTC 2009 年 4 月 16 日 (木) 14 時 39 分 17 秒 (日本時間)
composite number 合成数
1225343616600765389446596377587123501111823188920308230898053264431036428255694719361772425231791742314403597155481201704900221111723936087363568901508090124451871252104661683469880265089<187>
prime factors 素因数
1681578303467735333201104967483311312998583427691180027389<58>
35884535642448250237342854660843058641051045981390093667103<59>
20306424780177190474846958704671361567809643262574547068456307082537867<71>
factorization results 素因数分解の結果
Number: 88889_193
N=1225343616600765389446596377587123501111823188920308230898053264431036428255694719361772425231791742314403597155481201704900221111723936087363568901508090124451871252104661683469880265089
  ( 187 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=1681578303467735333201104967483311312998583427691180027389
 r2=35884535642448250237342854660843058641051045981390093667103
 r3=20306424780177190474846958704671361567809643262574547068456307082537867
Version: 
Total time: 208.79 hours.
Scaled time: 499.02 units (timescale=2.390).
Factorization parameters were as follows:
n: 1225343616600765389446596377587123501111823188920308230898053264431036428255694719361772425231791742314403597155481201704900221111723936087363568901508090124451871252104661683469880265089
m: 1000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 25
skew: 1.66
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, 11100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22616652
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2153331 x 2153578
Total sieving time: 188.60 hours.
Total relation processing time: 6.21 hours.
Matrix solve time: 12.83 hours.
Time per square root: 1.16 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: 208.79 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkFebruary 1, 2009 05:42:28 UTC 2009 年 2 月 1 日 (日) 14 時 42 分 28 秒 (日本時間)
255e4204Jo Yeong UkFebruary 1, 2009 05:42:33 UTC 2009 年 2 月 1 日 (日) 14 時 42 分 33 秒 (日本時間)
3025e4403Jo Yeong UkFebruary 1, 2009 05:42:40 UTC 2009 年 2 月 1 日 (日) 14 時 42 分 40 秒 (日本時間)
351e6828Jo Yeong UkFebruary 1, 2009 05:42:45 UTC 2009 年 2 月 1 日 (日) 14 時 42 分 45 秒 (日本時間)
403e62111Jo Yeong UkFebruary 3, 2009 12:51:30 UTC 2009 年 2 月 3 日 (火) 21 時 51 分 30 秒 (日本時間)

8×10196+19

c168

name 名前Jo Yeong Uk
date 日付April 27, 2009 14:54:56 UTC 2009 年 4 月 27 日 (月) 23 時 54 分 56 秒 (日本時間)
composite number 合成数
194006887441057763765515995169149538695667950334540943575287725969382691109491784798555200805367453309820823386266387230890825153146947270793405098814003126465216508297<168>
prime factors 素因数
421129308634456116834768473972139562323863312499765456942425930345152305882854016787<84>
460682463707263415511160506455196986916514178796229063957358489523887114186474351731<84>
factorization results 素因数分解の結果
Number: 88889_196
N=194006887441057763765515995169149538695667950334540943575287725969382691109491784798555200805367453309820823386266387230890825153146947270793405098814003126465216508297
  ( 168 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=421129308634456116834768473972139562323863312499765456942425930345152305882854016787
 r2=460682463707263415511160506455196986916514178796229063957358489523887114186474351731
Version: 
Total time: 229.06 hours.
Scaled time: 547.23 units (timescale=2.389).
Factorization parameters were as follows:
n: 194006887441057763765515995169149538695667950334540943575287725969382691109491784798555200805367453309820823386266387230890825153146947270793405098814003126465216508297
m: 2000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 2
skew: 0.83
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7000000, 12300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33667751
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2463371 x 2463619
Total sieving time: 202.13 hours.
Total relation processing time: 9.13 hours.
Matrix solve time: 17.44 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000
total time: 229.06 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673787)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkFebruary 1, 2009 05:42:57 UTC 2009 年 2 月 1 日 (日) 14 時 42 分 57 秒 (日本時間)
255e4204Jo Yeong UkFebruary 1, 2009 05:43:03 UTC 2009 年 2 月 1 日 (日) 14 時 43 分 3 秒 (日本時間)
3025e4403Jo Yeong UkFebruary 1, 2009 05:43:09 UTC 2009 年 2 月 1 日 (日) 14 時 43 分 9 秒 (日本時間)
351e6828Jo Yeong UkFebruary 1, 2009 05:43:13 UTC 2009 年 2 月 1 日 (日) 14 時 43 分 13 秒 (日本時間)
403e62111Jo Yeong UkFebruary 3, 2009 12:51:44 UTC 2009 年 2 月 3 日 (火) 21 時 51 分 44 秒 (日本時間)
4511e63974Jo Yeong UkApril 15, 2009 12:31:55 UTC 2009 年 4 月 15 日 (水) 21 時 31 分 55 秒 (日本時間)

8×10197+19

c197

name 名前Wataru Sakai
date 日付November 4, 2008 14:20:39 UTC 2008 年 11 月 4 日 (火) 23 時 20 分 39 秒 (日本時間)
composite number 合成数
88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<197>
prime factors 素因数
106311392897166500371783359424653869114814020003048227<54>
836118185140042779513129418862402364113623638373731957714431877766932382409809916330540749485034097969436866621225052370275032773495280814961907<144>
factorization results 素因数分解の結果
Number: 88889_197
N=88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=106311392897166500371783359424653869114814020003048227
 r2=836118185140042779513129418862402364113623638373731957714431877766932382409809916330540749485034097969436866621225052370275032773495280814961907
Version: 
Total time: 624.61 hours.
Scaled time: 1221.73 units (timescale=1.956).
Factorization parameters were as follows:
n: 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 2000000000000000000000000000000000000000
deg: 5
c5: 25
c0: 1
skew: 0.53
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.7
alambda: 2.7
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [9100000, 14800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2170422 x 2170670
Total sieving time: 624.61 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,197,5,0,0,0,0,0,0,0,0,18200000,18200000,28,28,56,56,2.7,2.7,100000
total time: 624.61 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
2011e374Jo Yeong UkAugust 5, 2008 11:34:23 UTC 2008 年 8 月 5 日 (火) 20 時 34 分 23 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 11:34:29 UTC 2008 年 8 月 5 日 (火) 20 時 34 分 29 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 11:34:34 UTC 2008 年 8 月 5 日 (火) 20 時 34 分 34 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 11:34:42 UTC 2008 年 8 月 5 日 (火) 20 時 34 分 42 秒 (日本時間)
403e62350Jo Yeong UkAugust 5, 2008 11:34:49 UTC 2008 年 8 月 5 日 (火) 20 時 34 分 49 秒 (日本時間)
4511e63191 / 3918Jo Yeong UkAugust 5, 2008 11:35:00 UTC 2008 年 8 月 5 日 (火) 20 時 35 分 0 秒 (日本時間)

8×10199+19

c187

name 名前Jo Yeong Uk
date 日付May 8, 2009 05:35:11 UTC 2009 年 5 月 8 日 (金) 14 時 35 分 11 秒 (日本時間)
composite number 合成数
2327581007576077147015288016795181679544665102324936432988127419120440012555007949741851791245503580514745708551006880414182023517427243632126415766287037827987344845272029386659222209141<187>
prime factors 素因数
278473795189238042105936853934504027567029947<45>
1121240111371370740629796346623166506341482028979326158193334831378901<70>
7454557093327744248147966603565393081246214460774357627670416990333845203<73>
factorization results 素因数分解の結果
Number: 88889_199
N=2327581007576077147015288016795181679544665102324936432988127419120440012555007949741851791245503580514745708551006880414182023517427243632126415766287037827987344845272029386659222209141
  ( 187 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=278473795189238042105936853934504027567029947
 r2=1121240111371370740629796346623166506341482028979326158193334831378901
 r3=7454557093327744248147966603565393081246214460774357627670416990333845203
Version: 
Total time: 290.34 hours.
Scaled time: 691.87 units (timescale=2.383).
Factorization parameters were as follows:
n: 2327581007576077147015288016795181679544665102324936432988127419120440012555007949741851791245503580514745708551006880414182023517427243632126415766287037827987344845272029386659222209141
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4
c0: 5
skew: 1.05
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8500000, 14600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 36830304
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3039811 x 3040058
Total sieving time: 247.85 hours.
Total relation processing time: 11.88 hours.
Matrix solve time: 25.60 hours.
Time per square root: 5.01 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,17000000,17000000,29,29,56,56,2.6,2.6,100000
total time: 290.34 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672305)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkFebruary 1, 2009 05:43:23 UTC 2009 年 2 月 1 日 (日) 14 時 43 分 23 秒 (日本時間)
255e4204Jo Yeong UkFebruary 1, 2009 05:43:29 UTC 2009 年 2 月 1 日 (日) 14 時 43 分 29 秒 (日本時間)
3025e4403Jo Yeong UkFebruary 1, 2009 05:43:35 UTC 2009 年 2 月 1 日 (日) 14 時 43 分 35 秒 (日本時間)
351e6828Jo Yeong UkFebruary 1, 2009 05:43:44 UTC 2009 年 2 月 1 日 (日) 14 時 43 分 44 秒 (日本時間)
403e62111Jo Yeong UkFebruary 3, 2009 12:52:19 UTC 2009 年 2 月 3 日 (火) 21 時 52 分 19 秒 (日本時間)
4511e63974Jo Yeong UkApril 16, 2009 13:11:40 UTC 2009 年 4 月 16 日 (木) 22 時 11 分 40 秒 (日本時間)

8×10202+19

c191

name 名前Jo Yeong Uk
date 日付August 13, 2010 04:36:57 UTC 2010 年 8 月 13 日 (金) 13 時 36 分 57 秒 (日本時間)
composite number 合成数
86094179592643670322540272043539960567554123266649964120109083649182739645954998694879837449160856812180855409789384828667627680748976657848850029507459639707978076159400233088523717596446243<191>
prime factors 素因数
5876837161693207203417932964245678754187<40>
14649747342640103472550416468369943555968205613898606492495582120057039811515488128245422360316868951376298408892845812242357968002654251505674098802889<152>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 86094179592643670322540272043539960567554123266649964120109083649182739645954998694879837449160856812180855409789384828667627680748976657848850029507459639707978076159400233088523717596446243 (191 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1861390109
Step 1 took 5719ms
Step 2 took 3030ms
********** Factor found in step 2: 5876837161693207203417932964245678754187
Found probable prime factor of 40 digits: 5876837161693207203417932964245678754187
Probable prime cofactor 14649747342640103472550416468369943555968205613898606492495582120057039811515488128245422360316868951376298408892845812242357968002654251505674098802889 has 152 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)

8×10203+19

c189

name 名前matsui
date 日付August 15, 2011 19:16:49 UTC 2011 年 8 月 16 日 (火) 4 時 16 分 49 秒 (日本時間)
composite number 合成数
140316526246450999561897379112199552920409139912543618683818119969691244922669376162749737000402297064074231504149955338170756330831670651911013990503337171204873631018628731944769752327247<189>
prime factors 素因数
2889367548866649240379351056262339457644925062072189<52>
48563058826313038357546973029285453260272064490736091452671560973275748115145619194858092188565497040621256065596019678764427291246632123<137>
factorization results 素因数分解の結果
N=140316526246450999561897379112199552920409139912543618683818119969691244922669376162749737000402297064074231504149955338170756330831670651911013990503337171204873631018628731944769752327247
  ( 189 digits)
SNFS difficulty: 203 digits.
Divisors found:
 r1=2889367548866649240379351056262339457644925062072189 (pp52)
 r2=48563058826313038357546973029285453260272064490736091452671560973275748115145619194858092188565497040621256065596019678764427291246632123 (pp137)
Version: Msieve v. 1.50
Total time:
Scaled time: 169.60 units (timescale=1.382).
Factorization parameters were as follows:
n: 140316526246450999561897379112199552920409139912543618683818119969691244922669376162749737000402297064074231504149955338170756330831670651911013990503337171204873631018628731944769752327247
m: 20000000000000000000000000000000000000000
deg: 5
c5: 250
c0: 1
skew: 0.33
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8750000, 18350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3506472 x 3506702
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,203.000,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e60--
403e6266Jo Yeong UkFebruary 4, 2011 02:20:35 UTC 2011 年 2 月 4 日 (金) 11 時 20 分 35 秒 (日本時間)
4511e6600 / 4420Dmitry DomanovMay 11, 2009 08:40:45 UTC 2009 年 5 月 11 日 (月) 17 時 40 分 45 秒 (日本時間)

8×10204+19

c122

name 名前Jo Yeong Uk
date 日付October 31, 2008 15:11:55 UTC 2008 年 11 月 1 日 (土) 0 時 11 分 55 秒 (日本時間)
composite number 合成数
38461951094348424889796919695047691873076556376697842828616885689987407536284091576355196737748437367339041253075869613881<122>
prime factors 素因数
82897411705071064047937967244636410137<38>
191569661445027288713112719046241871161<39>
2421941276018788705974103400089367990086645033<46>
factorization results 素因数分解の結果
Number: 88889_204
N=38461951094348424889796919695047691873076556376697842828616885689987407536284091576355196737748437367339041253075869613881
  ( 122 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=82897411705071064047937967244636410137 (pp38)
 r2=191569661445027288713112719046241871161 (pp39)
 r3=2421941276018788705974103400089367990086645033 (pp46)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.67 hours.
Scaled time: 11.11 units (timescale=2.381).
Factorization parameters were as follows:
n: 38461951094348424889796919695047691873076556376697842828616885689987407536284091576355196737748437367339041253075869613881
m: 100000000000000000000000
deg: 6
c6: 1
c3: -5
c0: 25
skew: 1.71
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1650001)
Primes: RFBsize:114155, AFBsize:113645, largePrimes:3608661 encountered
Relations: rels:3614398, finalFF:283594
Max relations in full relation-set: 28
Initial matrix: 227865 x 283594 with sparse part having weight 25287404.
Pruned matrix : 206933 x 208136 with weight 15893379.
Total sieving time: 4.43 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.4,2.4,50000
total time: 4.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)

8×10205+19

c195

name 名前Jo Yeong Uk
date 日付February 4, 2011 02:28:18 UTC 2011 年 2 月 4 日 (金) 11 時 28 分 18 秒 (日本時間)
composite number 合成数
990930287301268043844290701781305127266910740305203221011224117696628194867352108647019972882679138379406098037262642098387030958781515056950685458562952332773169892919541643992123964538929784087<195>
prime factors 素因数
153357268180133707635396056211376485232162658029493887<54>
composite cofactor 合成数の残り
6461580198059603184795634194621050986107132901660715732956321677546476872881665207637567094658840892101017664608809519863242166705472311434601<142>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 990930287301268043844290701781305127266910740305203221011224117696628194867352108647019972882679138379406098037262642098387030958781515056950685458562952332773169892919541643992123964538929784087 (195 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=8149266422
Step 1 took 73187ms
Step 2 took 24799ms
********** Factor found in step 2: 153357268180133707635396056211376485232162658029493887
Found probable prime factor of 54 digits: 153357268180133707635396056211376485232162658029493887
Composite cofactor 6461580198059603184795634194621050986107132901660715732956321677546476872881665207637567094658840892101017664608809519863242166705472311434601 has 142 digits
execution environment 実行環境
Core 2 Quad Q6700

c142

name 名前Jo Yeong Uk
date 日付March 3, 2011 12:53:05 UTC 2011 年 3 月 3 日 (木) 21 時 53 分 5 秒 (日本時間)
composite number 合成数
6461580198059603184795634194621050986107132901660715732956321677546476872881665207637567094658840892101017664608809519863242166705472311434601<142>
prime factors 素因数
45409884567836020919716764355085121802016525343670289<53>
142294574398375874731529317980479357863860293481246551310316399554787903956419162498818009<90>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 6461580198059603184795634194621050986107132901660715732956321677546476872881665207637567094658840892101017664608809519863242166705472311434601 (142 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1922815235
Step 1 took 45292ms
Step 2 took 17951ms
********** Factor found in step 2: 45409884567836020919716764355085121802016525343670289
Found probable prime factor of 53 digits: 45409884567836020919716764355085121802016525343670289
Probable prime cofactor 142294574398375874731529317980479357863860293481246551310316399554787903956419162498818009 has 90 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:51:57 UTC 2010 年 8 月 27 日 (金) 23 時 51 分 57 秒 (日本時間)
403e6211111Luigi MorelliNovember 8, 2010 14:56:57 UTC 2010 年 11 月 8 日 (月) 23 時 56 分 57 秒 (日本時間)
2100Jo Yeong UkFebruary 4, 2011 02:20:46 UTC 2011 年 2 月 4 日 (金) 11 時 20 分 46 秒 (日本時間)

8×10206+19

c177

name 名前Erik Branger
date 日付October 3, 2017 15:18:35 UTC 2017 年 10 月 4 日 (水) 0 時 18 分 35 秒 (日本時間)
composite number 合成数
416243790640222562743061738954409203639871192491207655972894453875768263500636991231196949947075564373967251239645740817555819357665653350254833178599172276701880616349447141169<177>
prime factors 素因数
11780160788813310682201644659846725454094690201514627037077331518995736289<74>
35334304692640227084171250586268230385268851978196495105235298137273783162061392533187740058672377571921<104>
factorization results 素因数分解の結果
Number: 88889_206
N = 416243790640222562743061738954409203639871192491207655972894453875768263500636991231196949947075564373967251239645740817555819357665653350254833178599172276701880616349447141169 (177 digits)
SNFS difficulty: 207 digits.
Divisors found:
r1=11780160788813310682201644659846725454094690201514627037077331518995736289 (pp74)
r2=35334304692640227084171250586268230385268851978196495105235298137273783162061392533187740058672377571921 (pp104)
Version: Msieve v. 1.51 (SVN 845)
Total time: 574.18 hours.
Factorization parameters were as follows:
n: 416243790640222562743061738954409203639871192491207655972894453875768263500636991231196949947075564373967251239645740817555819357665653350254833178599172276701880616349447141169
m: 100000000000000000000000000000000000000000
deg: 5
c5: 80
c0: 1
skew: 0.42
# Murphy_E = 1.087e-11
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: 39226020
Relations: 5542048 relations
Pruned matrix : 3412130 x 3412359
Polynomial selection time: 0.00 hours.
Total sieving time: 560.67 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 12.84 hours.
time per square root: 0.36 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: 574.18 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
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
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:52:05 UTC 2010 年 8 月 27 日 (金) 23 時 52 分 5 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:21:10 UTC 2011 年 2 月 4 日 (金) 11 時 21 分 10 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:27:09 UTC 2013 年 4 月 27 日 (土) 21 時 27 分 9 秒 (日本時間)

8×10207+19

c138

name 名前Jo Yeong Uk
date 日付October 31, 2008 15:29:01 UTC 2008 年 11 月 1 日 (土) 0 時 29 分 1 秒 (日本時間)
composite number 合成数
190476190476190476190476190476190476190476190476190476190476190476190380952380952380952380952380952380952380952380952380952380952380952381<138>
prime factors 素因数
5582664782691969404374014480446767<34>
34119224042741568474837497946520829604804791221870890569522792743145229666446531659254662634444747964243<104>
factorization results 素因数分解の結果
Number: 88889_207
N=190476190476190476190476190476190476190476190476190476190476190476190380952380952380952380952380952380952380952380952380952380952380952381
  ( 138 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=5582664782691969404374014480446767 (pp34)
 r2=34119224042741568474837497946520829604804791221870890569522792743145229666446531659254662634444747964243 (pp104)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.72 hours.
Scaled time: 11.27 units (timescale=2.388).
Factorization parameters were as follows:
n: 190476190476190476190476190476190476190476190476190476190476190476190380952380952380952380952380952380952380952380952380952380952380952381
m: 100000000000000000000000
deg: 6
c6: 4
c3: -2
c0: 1
skew: 0.79
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1650001)
Primes: RFBsize:114155, AFBsize:113945, largePrimes:3605300 encountered
Relations: rels:3601927, finalFF:271303
Max relations in full relation-set: 28
Initial matrix: 228165 x 271303 with sparse part having weight 24454403.
Pruned matrix : 212282 x 213486 with weight 16741789.
Total sieving time: 4.47 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.4,2.4,50000
total time: 4.72 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)

8×10208+19

c195

name 名前Jo Yeong Uk
date 日付April 25, 2013 10:28:35 UTC 2013 年 4 月 25 日 (木) 19 時 28 分 35 秒 (日本時間)
composite number 合成数
264988233914120754226950959765010523979560149531763216738196649383817824329516733123865513760228509848978519812689389974743293223735747537811776115948388153612780361688536283294036573730301717691<195>
prime factors 素因数
8478028295219003145204279117984099674180127907<46>
31255879868147528779826930510022349346598455289648875179316308690615810352675221344929264077286384688419529412966972850905021120411037395334432360713<149>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM]
Input number is 264988233914120754226950959765010523979560149531763216738196649383817824329516733123865513760228509848978519812689389974743293223735747537811776115948388153612780361688536283294036573730301717691 (195 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6518865964
Step 1 took 54704ms
Step 2 took 17798ms
********** Factor found in step 2: 8478028295219003145204279117984099674180127907
Found probable prime factor of 46 digits: 8478028295219003145204279117984099674180127907
Probable prime cofactor 31255879868147528779826930510022349346598455289648875179316308690615810352675221344929264077286384688419529412966972850905021120411037395334432360713 has 149 digits
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:52:13 UTC 2010 年 8 月 27 日 (金) 23 時 52 分 13 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:21:19 UTC 2011 年 2 月 4 日 (金) 11 時 21 分 19 秒 (日本時間)

8×10209+19

c132

name 名前Serge Batalov
date 日付November 24, 2008 05:20:39 UTC 2008 年 11 月 24 日 (月) 14 時 20 分 39 秒 (日本時間)
composite number 合成数
432950716808460649723417766969409385732779343406951001345295744775167364733733640303682640791939620325514072296340059443129231158681<132>
prime factors 素因数
287944218227248700481818032174301<33>
1503592325881574908416447589270613098491254186484255698064601081514562926755107233101700906147750381<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1801430418
Step 1 took 15665ms
Step 2 took 12740ms
********** Factor found in step 2: 287944218227248700481818032174301
Found probable prime factor of 33 digits: 287944218227248700481818032174301
Probable prime cofactor 1503592325881574908416447589270613098491254186484255698064601081514562926755107233101700906147750381 has 100 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)

8×10214+19

c207

name 名前Dmitry Domanov
date 日付December 17, 2009 18:14:31 UTC 2009 年 12 月 18 日 (金) 3 時 14 分 31 秒 (日本時間)
composite number 合成数
709209125709418564029354626699044545487241607079580808116671496824068451375474309090021128846924275711536883036707946272479724087863315756383012891817319750311934552550698545723248673887532570761539982723843<207>
prime factors 素因数
335641198293710957912166662603<30>
composite cofactor 合成数の残り
2112997836126207443444981630168333103292685356156473714928084867103157017340713491392612217986513249301447225320298675488334218036013653216145526375104840470441559720260810151081<178>
factorization results 素因数分解の結果
Factor=335641198293710957912166662603  Method=ECM  B1=11000000  Sigma=265716689
software ソフトウェア
ECMNET

c178

name 名前Erik Branger
date 日付September 29, 2017 08:05:44 UTC 2017 年 9 月 29 日 (金) 17 時 5 分 44 秒 (日本時間)
composite number 合成数
2112997836126207443444981630168333103292685356156473714928084867103157017340713491392612217986513249301447225320298675488334218036013653216145526375104840470441559720260810151081<178>
prime factors 素因数
43944737820555321009242953427255014981299535747342283<53>
48083068438238458134288649378602395743613734893704666677174072869946033296308266238558471145560812526104462646457055463679707<125>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Input number is 2112997836126207443444981630168333103292685356156473714928084867103157017340713491392612217986513249301447225320298675488334218036013653216145526375104840470441559720260810151081 (178 digits)
Run 620 out of 6600:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3257396093
Step 1 took 128545ms
Step 2 took 42775ms
********** Factor found in step 2: 43944737820555321009242953427255014981299535747342283
Found prime factor of 53 digits: 43944737820555321009242953427255014981299535747342283
Prime cofactor 48083068438238458134288649378602395743613734893704666677174072869946033296308266238558471145560812526104462646457055463679707 has 125 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6751Jo Yeong UkAugust 27, 2010 14:52:23 UTC 2010 年 8 月 27 日 (金) 23 時 52 分 23 秒 (日本時間)
403e62097Jo Yeong UkFebruary 4, 2011 02:21:32 UTC 2011 年 2 月 4 日 (金) 11 時 21 分 32 秒 (日本時間)
4511e6398110Dmitry DomanovDecember 17, 2009 18:13:58 UTC 2009 年 12 月 18 日 (金) 3 時 13 分 58 秒 (日本時間)
3971Jo Yeong UkApril 27, 2013 12:27:21 UTC 2013 年 4 月 27 日 (土) 21 時 27 分 21 秒 (日本時間)

8×10218+19

c179

name 名前Erik Branger
date 日付October 23, 2017 14:59:39 UTC 2017 年 10 月 23 日 (月) 23 時 59 分 39 秒 (日本時間)
composite number 合成数
16913247356283240157172610592809020159577277417324926249481612713499098219982551571542737551743249490119088991143635756109473844887832553150369341736401369132343805655569406444969<179>
prime factors 素因数
82486463716702750980701640889219480693762235373701831851090061290178599777578767923<83>
205042701483376392748492038357604111073990534941296759422501449689585956453778318558281693364403<96>
factorization results 素因数分解の結果
Number: 88889_218
N = 16913247356283240157172610592809020159577277417324926249481612713499098219982551571542737551743249490119088991143635756109473844887832553150369341736401369132343805655569406444969 (179 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=82486463716702750980701640889219480693762235373701831851090061290178599777578767923 (pp83)
r2=205042701483376392748492038357604111073990534941296759422501449689585956453778318558281693364403 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.07 hours.
Factorization parameters were as follows:
n: 16913247356283240157172610592809020159577277417324926249481612713499098219982551571542737551743249490119088991143635756109473844887832553150369341736401369132343805655569406444969
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: 25
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 28403401
Relations: 7097246 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 52.27 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6288501 x 6288726
Matrix solve time: 25.30 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 78.07 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-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
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:52:39 UTC 2010 年 8 月 27 日 (金) 23 時 52 分 39 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:21:40 UTC 2011 年 2 月 4 日 (金) 11 時 21 分 40 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:27:30 UTC 2013 年 4 月 27 日 (土) 21 時 27 分 30 秒 (日本時間)
5043e66600Erik BrangerOctober 2, 2017 09:09:43 UTC 2017 年 10 月 2 日 (月) 18 時 9 分 43 秒 (日本時間)

8×10220+19

c207

name 名前Erik Branger
date 日付October 19, 2017 15:10:24 UTC 2017 年 10 月 20 日 (金) 0 時 10 分 24 秒 (日本時間)
composite number 合成数
228382046534058896327838594996718592060284322444717338981497161415105682944153483499551825523530002445779230654178629926684205515178022266671915819332434181996478167544902802028411143375971655352700164832929<207>
prime factors 素因数
47020219664448664970078462590096144181718208975680513426212450582686143491<74>
4857102926440290319199204008590863054470948738312586287332124922915784763684800857876256875539265828359796800485444256344068633332619<133>
factorization results 素因数分解の結果
Number: 88889_220
N = 228382046534058896327838594996718592060284322444717338981497161415105682944153483499551825523530002445779230654178629926684205515178022266671915819332434181996478167544902802028411143375971655352700164832929 (207 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=47020219664448664970078462590096144181718208975680513426212450582686143491 (pp74)
r2=4857102926440290319199204008590863054470948738312586287332124922915784763684800857876256875539265828359796800485444256344068633332619 (pp133)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 80.35 hours.
Factorization parameters were as follows:
n: 228382046534058896327838594996718592060284322444717338981497161415105682944153483499551825523530002445779230654178629926684205515178022266671915819332434181996478167544902802028411143375971655352700164832929
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
c0: 1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 26573433
Relations: 7371060 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 53.48 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 6367642 x 6367867
Matrix solve time: 26.35 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 80.35 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
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
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:52:51 UTC 2010 年 8 月 27 日 (金) 23 時 52 分 51 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:21:50 UTC 2011 年 2 月 4 日 (金) 11 時 21 分 50 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:27:41 UTC 2013 年 4 月 27 日 (土) 21 時 27 分 41 秒 (日本時間)

8×10221+19

c215

name 名前NFS@Home + Greg Childers
date 日付March 10, 2013 18:04:15 UTC 2013 年 3 月 11 日 (月) 3 時 4 分 15 秒 (日本時間)
composite number 合成数
22640222999404477234279414481948822851320438650924580011835742578513675586150420905800795866099042315737097315687430326482486754549786289030011058899926846609461049208496388926882013109764527247664031316409257236261<215>
prime factors 素因数
5263406832490251849386933049967233694751867475728727541108648444140291599696609087<82>
4301438919684042551867740791931980219071094914004030680060359229733927260484327848234049024981509499087465335097548734744393187407003<133>
factorization results 素因数分解の結果
prp82: 5263406832490251849386933049967233694751867475728727541108648444140291599696609087
prp133: 4301438919684042551867740791931980219071094914004030680060359229733927260484327848234049024981509499087465335097548734744393187407003
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
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e60--
403e6300280Serge BatalovNovember 13, 2008 22:47:22 UTC 2008 年 11 月 14 日 (金) 7 時 47 分 22 秒 (日本時間)
20Serge BatalovNovember 13, 2008 22:47:39 UTC 2008 年 11 月 14 日 (金) 7 時 47 分 39 秒 (日本時間)
4511e61272572Dmitry DomanovDecember 19, 2009 22:32:01 UTC 2009 年 12 月 20 日 (日) 7 時 32 分 1 秒 (日本時間)
700Dmitry DomanovJanuary 7, 2010 18:36:25 UTC 2010 年 1 月 8 日 (金) 3 時 36 分 25 秒 (日本時間)
5043e6660180Dmitry DomanovJune 13, 2011 18:38:11 UTC 2011 年 6 月 14 日 (火) 3 時 38 分 11 秒 (日本時間)
480Dmitry DomanovJune 14, 2011 09:45:34 UTC 2011 年 6 月 14 日 (火) 18 時 45 分 34 秒 (日本時間)
5511e75620 / 17452120Dmitry DomanovJune 12, 2011 22:04:46 UTC 2011 年 6 月 13 日 (月) 7 時 4 分 46 秒 (日本時間)
2750yoyo@homeDecember 7, 2011 06:32:56 UTC 2011 年 12 月 7 日 (水) 15 時 32 分 56 秒 (日本時間)
2750yoyo@homeMay 25, 2012 23:50:06 UTC 2012 年 5 月 26 日 (土) 8 時 50 分 6 秒 (日本時間)

8×10224+19

c215

name 名前Jo Yeong Uk
date 日付September 2, 2010 14:21:13 UTC 2010 年 9 月 2 日 (木) 23 時 21 分 13 秒 (日本時間)
composite number 合成数
38202026670778060461839811400914975585180498535085196352209019702562646668703744851504568576573231947842061664650104163964306037042498796707669289165458133972947268144356786737805890511677507337670628032364390065017<215>
prime factors 素因数
2316855080319576414930458934339781512787027<43>
16488742431619265227772118010325043566034634320717800175411952448815148813635739160662722711425670208160019939517359455249512883169033594071198081644028752076492279275114371<173>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 38202026670778060461839811400914975585180498535085196352209019702562646668703744851504568576573231947842061664650104163964306037042498796707669289165458133972947268144356786737805890511677507337670628032364390065017 (215 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1116834661
Step 1 took 22919ms
Step 2 took 8406ms
********** Factor found in step 2: 2316855080319576414930458934339781512787027
Found probable prime factor of 43 digits: 2316855080319576414930458934339781512787027
Probable prime cofactor 16488742431619265227772118010325043566034634320717800175411952448815148813635739160662722711425670208160019939517359455249512883169033594071198081644028752076492279275114371 has 173 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e60--
403e6266Wataru SakaiJuly 5, 2010 01:54:21 UTC 2010 年 7 月 5 日 (月) 10 時 54 分 21 秒 (日本時間)
4511e6600 / 4420Dmitry DomanovMay 12, 2009 00:21:53 UTC 2009 年 5 月 12 日 (火) 9 時 21 分 53 秒 (日本時間)

8×10225+19

c110

name 名前Jo Yeong Uk
date 日付October 31, 2008 10:28:32 UTC 2008 年 10 月 31 日 (金) 19 時 28 分 32 秒 (日本時間)
composite number 合成数
27534764596801380073444030684382856370143345530480298090729657481328086634802851751249267898435076081333000887<110>
prime factors 素因数
50532169039234753564210908503389<32>
544895758886235998604351913304690160474307653093573978373738315850473064776483<78>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 27534764596801380073444030684382856370143345530480298090729657481328086634802851751249267898435076081333000887 (110 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3291085960
Step 1 took 3256ms
Step 2 took 2058ms
********** Factor found in step 2: 50532169039234753564210908503389
Found probable prime factor of 32 digits: 50532169039234753564210908503389
Probable prime cofactor 544895758886235998604351913304690160474307653093573978373738315850473064776483 has 78 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)

8×10227+19

c196

composite cofactor 合成数の残り
9097793815393447552722809249138055200656158678748957766912186177233971864190349402337867308990770756526315512821678093326066945622035654440878171666227400696434321205697103138583138190600028256389<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:53:19 UTC 2010 年 8 月 27 日 (金) 23 時 53 分 19 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:22:09 UTC 2011 年 2 月 4 日 (金) 11 時 22 分 9 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:27:51 UTC 2013 年 4 月 27 日 (土) 21 時 27 分 51 秒 (日本時間)
5043e66600Erik BrangerOctober 9, 2017 12:50:36 UTC 2017 年 10 月 9 日 (月) 21 時 50 分 36 秒 (日本時間)

8×10229+19

c203

name 名前Jo Yeong Uk
date 日付August 16, 2010 07:08:30 UTC 2010 年 8 月 16 日 (月) 16 時 8 分 30 秒 (日本時間)
composite number 合成数
11829385417642955783673865240019110415610542018655950360401284468236384437574781014592143476197603317129914054070147627677423516532150415271176848805421617923288484768674429408174875719277086347418452347<203>
prime factors 素因数
819511007420440103348304619569732783998649001<45>
composite cofactor 合成数の残り
14434687649746276338194496638492808440588841182404928554108497978330431857340845364445342349996854839658131657989934971463845928314381760915675703022286249347<158>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 11829385417642955783673865240019110415610542018655950360401284468236384437574781014592143476197603317129914054070147627677423516532150415271176848805421617923288484768674429408174875719277086347418452347 (203 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5216322693
Step 1 took 6649ms
Step 2 took 3365ms
********** Factor found in step 2: 819511007420440103348304619569732783998649001
Found probable prime factor of 45 digits: 819511007420440103348304619569732783998649001
Composite cofactor 14434687649746276338194496638492808440588841182404928554108497978330431857340845364445342349996854839658131657989934971463845928314381760915675703022286249347 has 158 digits
execution environment 実行環境
Core 2 Quad Q6700

c158

name 名前Jo Yeong Uk
date 日付December 31, 2010 14:57:47 UTC 2010 年 12 月 31 日 (金) 23 時 57 分 47 秒 (日本時間)
composite number 合成数
14434687649746276338194496638492808440588841182404928554108497978330431857340845364445342349996854839658131657989934971463845928314381760915675703022286249347<158>
prime factors 素因数
280094490061119663967369772099508032125929863<45>
51535064636924741022392034123508211423873817857319062936717207063458834251553842470041232486333282077026100517669<113>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 14434687649746276338194496638492808440588841182404928554108497978330431857340845364445342349996854839658131657989934971463845928314381760915675703022286249347 (158 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1655552630
Step 1 took 14781ms
Step 2 took 6106ms
********** Factor found in step 2: 280094490061119663967369772099508032125929863
Found probable prime factor of 45 digits: 280094490061119663967369772099508032125929863
Probable prime cofactor 51535064636924741022392034123508211423873817857319062936717207063458834251553842470041232486333282077026100517669 has 113 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 19, 2010 13:08:23 UTC 2010 年 8 月 19 日 (木) 22 時 8 分 23 秒 (日本時間)
4511e64200Wataru SakaiAugust 25, 2010 04:43:40 UTC 2010 年 8 月 25 日 (水) 13 時 43 分 40 秒 (日本時間)

8×10232+19

c189

composite cofactor 合成数の残り
315100028245168413730164547912666490544882273079051501825528218827081332903514884049893121986958096917511944946111063802903815642455242090360685290200921648196299277805766036401233373029049<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:54:03 UTC 2010 年 8 月 27 日 (金) 23 時 54 分 3 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:22:21 UTC 2011 年 2 月 4 日 (金) 11 時 22 分 21 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:28:00 UTC 2013 年 4 月 27 日 (土) 21 時 28 分 0 秒 (日本時間)
5043e66600Erik BrangerOctober 16, 2017 07:45:21 UTC 2017 年 10 月 16 日 (月) 16 時 45 分 21 秒 (日本時間)

8×10234+19

c139

name 名前Serge Batalov
date 日付November 1, 2008 05:00:51 UTC 2008 年 11 月 1 日 (土) 14 時 0 分 51 秒 (日本時間)
composite number 合成数
2404549213661918600414415840219982246832209037094558163654197849879077303245717353071130110863139553088219578414824432195743107120942866737<139>
prime factors 素因数
708452754409146374529483146787025747<36>
22620385990634069598730260876721948262835656222041<50>
150045427642136409744783106387616892839332104918312931<54>
factorization results 素因数分解の結果
SNFS difficulty: 156 digits.
Divisors found:
 r1=708452754409146374529483146787025747
 r2=22620385990634069598730260876721948262835656222041
 r3=150045427642136409744783106387616892839332104918312931
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 2404549213661918600414415840219982246832209037094558163654197849879077303245717353071130110863139553088219578414824432195743107120942866737
m: 100000000000000000000000000
deg: 6
c6: 4
c3: -2
c0: 1
skew: 0.79
type: snfs
lss: 0
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1350000, 2650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 632870 x 633118
Total sieving time: 0.00 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,156,6,0,0,0,0,0,0,0,0,2700000,2700000,27,27,52,52,2.5,2.5,100000
total time: 18.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkOctober 31, 2008 12:41:57 UTC 2008 年 10 月 31 日 (金) 21 時 41 分 57 秒 (日本時間)

8×10235+19

c218

composite cofactor 合成数の残り
12280608372222213187496179705857115487173131098410772829046992031355640811916958681018009753801751556550452982365372923466140474264236900619003942702200010266891711374653542091878936361638833753245269714591617409078223<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:54:16 UTC 2010 年 8 月 27 日 (金) 23 時 54 分 16 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:22:31 UTC 2011 年 2 月 4 日 (金) 11 時 22 分 31 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:28:13 UTC 2013 年 4 月 27 日 (土) 21 時 28 分 13 秒 (日本時間)
5043e66600Erik BrangerOctober 17, 2017 07:50:34 UTC 2017 年 10 月 17 日 (火) 16 時 50 分 34 秒 (日本時間)

8×10236+19

c167

name 名前Jo Yeong Uk
date 日付August 11, 2010 00:55:29 UTC 2010 年 8 月 11 日 (水) 9 時 55 分 29 秒 (日本時間)
composite number 合成数
23136206068176776873478700137293933435222206613866125553873090047947723950687208390503231817519526754213889155211496567739648707571291492543463800535086488252929185043<167>
prime factors 素因数
1860212165869270315226990975636507<34>
12437401761301411940732840551791208047356050850672581136225799741749059382891698369778813511769480111707326300324942950318244778156649<134>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 23136206068176776873478700137293933435222206613866125553873090047947723950687208390503231817519526754213889155211496567739648707571291492543463800535086488252929185043 (167 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=151534686
Step 1 took 4952ms
Step 2 took 2715ms
********** Factor found in step 2: 1860212165869270315226990975636507
Found probable prime factor of 34 digits: 1860212165869270315226990975636507
Probable prime cofactor 12437401761301411940732840551791208047356050850672581136225799741749059382891698369778813511769480111707326300324942950318244778156649 has 134 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)

8×10237+19

c113

name 名前Jo Yeong Uk
date 日付November 1, 2008 17:11:24 UTC 2008 年 11 月 2 日 (日) 2 時 11 分 24 秒 (日本時間)
composite number 合成数
63195696222892684832277844391928328946821188206823261379133646682788995464468527739880731086293082863637460423441<113>
prime factors 素因数
1487191291700791041015131345158905072042727<43>
42493320513341915820527305465165793249803276165861201738045955147117383<71>
factorization results 素因数分解の結果
Number: 88889_237
N=63195696222892684832277844391928328946821188206823261379133646682788995464468527739880731086293082863637460423441
  ( 113 digits)
Divisors found:
 r1=1487191291700791041015131345158905072042727 (pp43)
 r2=42493320513341915820527305465165793249803276165861201738045955147117383 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.14 hours.
Scaled time: 48.09 units (timescale=2.388).
Factorization parameters were as follows:
name: 88889_237
n: 63195696222892684832277844391928328946821188206823261379133646682788995464468527739880731086293082863637460423441
skew: 27018.80
# norm 7.50e+15
c5: 123120
c4: 15962790444
c3: -173345636186388
c2: -9974465700677868059
c1: 72237218500103757733458
c0: 896261119410555873154720925
# alpha -6.43
Y1: 402453350621
Y0: -3483938486140772011098
# Murphy_E 6.73e-10
# M 16365498609173863858154545566911789076320402775766839248454106356650596401781867323838807040660698237825956707642
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1200000, 2400001)
Primes: RFBsize:176302, AFBsize:176053, largePrimes:7835106 encountered
Relations: rels:7790839, finalFF:486106
Max relations in full relation-set: 28
Initial matrix: 352440 x 486106 with sparse part having weight 54607869.
Pruned matrix : 287389 x 289215 with weight 33631177.
Polynomial selection time: 1.05 hours.
Total sieving time: 18.36 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 20.14 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkOctober 31, 2008 14:23:57 UTC 2008 年 10 月 31 日 (金) 23 時 23 分 57 秒 (日本時間)

8×10238+19

c208

name 名前Erik Branger
date 日付October 20, 2017 07:04:03 UTC 2017 年 10 月 20 日 (金) 16 時 4 分 3 秒 (日本時間)
composite number 合成数
2686695552798647250622175115413609104122325040014285159798624947487841653972005922986139120486419724716359549509331411261170168629105887132539326421631581937041969467983345153216801491374715957503195708610187<208>
prime factors 素因数
83698491943258236281323308185314660947868713592433<50>
32099688900249722702807760848834555175222425421745990187766337707766897899941402507728964357795900556503561488496349885458143803062404211542476542769444414139<158>
factorization results 素因数分解の結果
Fri 2017/10/20 02:36:59 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Fri 2017/10/20 02:36:59 UTC Input number is 2686695552798647250622175115413609104122325040014285159798624947487841653972005922986139120486419724716359549509331411261170168629105887132539326421631581937041969467983345153216801491374715957503195708610187 (208 digits)
Fri 2017/10/20 02:36:59 UTC Run 4488 out of 6600:
Fri 2017/10/20 02:36:59 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1488121754
Fri 2017/10/20 02:36:59 UTC Step 1 took 170805ms
Fri 2017/10/20 02:36:59 UTC Step 2 took 54523ms
Fri 2017/10/20 02:36:59 UTC ********** Factor found in step 2: 83698491943258236281323308185314660947868713592433
Fri 2017/10/20 02:36:59 UTC Found prime factor of 50 digits: 83698491943258236281323308185314660947868713592433
Fri 2017/10/20 02:36:59 UTC Prime cofactor 32099688900249722702807760848834555175222425421745990187766337707766897899941402507728964357795900556503561488496349885458143803062404211542476542769444414139 has 158 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:54:28 UTC 2010 年 8 月 27 日 (金) 23 時 54 分 28 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:22:43 UTC 2011 年 2 月 4 日 (金) 11 時 22 分 43 秒 (日本時間)
4511e63974Jo Yeong UkApril 27, 2013 12:28:21 UTC 2013 年 4 月 27 日 (土) 21 時 28 分 21 秒 (日本時間)

8×10239+19

c196

name 名前Jo Yeong Uk
date 日付December 19, 2010 14:11:51 UTC 2010 年 12 月 19 日 (日) 23 時 11 分 51 秒 (日本時間)
composite number 合成数
5633333054049790478537461497669924833525041453770623561289552226418209977689021686864500585702211805359557911926626204142236525686379536239115500687096545411638208029673011537965348196986006977067<196>
prime factors 素因数
88583052949665573229200163559413016488603<41>
63593801144455339615805018829593964047252484653250699809247730553161972767418390182410577814526907145417423412508121818607200519540586738448680050507603889<155>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.0 and --enable-asm-redc] [ECM]
Input number is 5633333054049790478537461497669924833525041453770623561289552226418209977689021686864500585702211805359557911926626204142236525686379536239115500687096545411638208029673011537965348196986006977067 (196 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7585779737
Step 1 took 20290ms
********** Factor found in step 1: 88583052949665573229200163559413016488603
Found probable prime factor of 41 digits: 88583052949665573229200163559413016488603
Probable prime cofactor 63593801144455339615805018829593964047252484653250699809247730553161972767418390182410577814526907145417423412508121818607200519540586738448680050507603889 has 155 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:54:37 UTC 2010 年 8 月 27 日 (金) 23 時 54 分 37 秒 (日本時間)

8×10240+19

c123

name 名前Jo Yeong Uk
date 日付November 1, 2008 10:10:14 UTC 2008 年 11 月 1 日 (土) 19 時 10 分 14 秒 (日本時間)
composite number 合成数
171937307092353385967400546721317067525746091830138769938460004457841338344298987572006993464275252473429109785647831808737<123>
prime factors 素因数
59644893805996916150715795095302049977<38>
1072585571895690212926242783522064352375233<43>
2687601656653192547082463793848796171321257<43>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.3] [ECM]
Input number is 171937307092353385967400546721317067525746091830138769938460004457841338344298987572006993464275252473429109785647831808737 (123 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3843108160
Step 1 took 13198ms
Step 2 took 9251ms
********** Factor found in step 2: 59644893805996916150715795095302049977
Found probable prime factor of 38 digits: 59644893805996916150715795095302049977
Composite cofactor 2882682759929168977194009694842213855041748885584302599479357366656409353283853227881 has 85 digits

Sat Nov 01 18:46:36 2008  
Sat Nov 01 18:46:36 2008  
Sat Nov 01 18:46:36 2008  Msieve v. 1.32
Sat Nov 01 18:46:36 2008  random seeds: 7b2a1340 77511deb
Sat Nov 01 18:46:36 2008  factoring 2882682759929168977194009694842213855041748885584302599479357366656409353283853227881 (85 digits)
Sat Nov 01 18:46:37 2008  no P-1/P+1/ECM available, skipping
Sat Nov 01 18:46:37 2008  commencing quadratic sieve (85-digit input)
Sat Nov 01 18:46:37 2008  using multiplier of 1
Sat Nov 01 18:46:37 2008  using VC8 32kb sieve core
Sat Nov 01 18:46:37 2008  sieve interval: 12 blocks of size 32768
Sat Nov 01 18:46:37 2008  processing polynomials in batches of 17
Sat Nov 01 18:46:37 2008  using a sieve bound of 1423453 (54412 primes)
Sat Nov 01 18:46:37 2008  using large prime bound of 116723146 (26 bits)
Sat Nov 01 18:46:37 2008  using trial factoring cutoff of 27 bits
Sat Nov 01 18:46:37 2008  polynomial 'A' values have 11 factors
Sat Nov 01 19:03:03 2008  54673 relations (28990 full + 25683 combined from 274856 partial), need 54508
Sat Nov 01 19:03:03 2008  begin with 303846 relations
Sat Nov 01 19:03:03 2008  reduce to 77135 relations in 2 passes
Sat Nov 01 19:03:03 2008  attempting to read 77135 relations
Sat Nov 01 19:03:04 2008  recovered 77135 relations
Sat Nov 01 19:03:04 2008  recovered 69084 polynomials
Sat Nov 01 19:03:04 2008  attempting to build 54673 cycles
Sat Nov 01 19:03:04 2008  found 54673 cycles in 1 passes
Sat Nov 01 19:03:04 2008  distribution of cycle lengths:
Sat Nov 01 19:03:04 2008     length 1 : 28990
Sat Nov 01 19:03:04 2008     length 2 : 25683
Sat Nov 01 19:03:04 2008  largest cycle: 2 relations
Sat Nov 01 19:03:04 2008  matrix is 54412 x 54673 with weight 1751130 (avg 32.03/col)
Sat Nov 01 19:03:04 2008  filtering completed in 3 passes
Sat Nov 01 19:03:04 2008  matrix is 39912 x 39976 with weight 1384330 (avg 34.63/col)
Sat Nov 01 19:03:04 2008  saving the first 48 matrix rows for later
Sat Nov 01 19:03:04 2008  matrix is 39864 x 39976 with weight 1001281 (avg 25.05/col)
Sat Nov 01 19:03:04 2008  matrix includes 64 packed rows
Sat Nov 01 19:03:04 2008  commencing Lanczos iteration
Sat Nov 01 19:03:21 2008  lanczos halted after 632 iterations (dim = 39862)
Sat Nov 01 19:03:21 2008  recovered 16 nontrivial dependencies
Sat Nov 01 19:03:21 2008  prp43 factor: 1072585571895690212926242783522064352375233
Sat Nov 01 19:03:21 2008  prp43 factor: 2687601656653192547082463793848796171321257
Sat Nov 01 19:03:21 2008  elapsed time 00:16:45
execution environment 実行環境
Core 2 Quad Q6600,Windows Vista(tm) Ultimate K x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkOctober 31, 2008 20:33:58 UTC 2008 年 11 月 1 日 (土) 5 時 33 分 58 秒 (日本時間)

8×10241+19

c156

name 名前Serge Batalov
date 日付November 21, 2008 03:16:53 UTC 2008 年 11 月 21 日 (金) 12 時 16 分 53 秒 (日本時間)
composite number 合成数
106869613180725367756482673561212081961910321290404689886593580970870742430107906860369691577928515018345019206551145738469458270291451265220531056171179129<156>
prime factors 素因数
139271372194463204233517633963<30>
767348030659914881516899932516529213904508061822198690776663718238208342560952835364792234120627533932150190654837531132325483<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3302111522
Step 1 took 26889ms
Step 2 took 16389ms
********** Factor found in step 2: 139271372194463204233517633963
Found probable prime factor of 30 digits: 139271372194463204233517633963
Probable prime cofactor 767348030659914881516899932516529213904508061822198690776663718238208342560952835364792234120627533932150190654837531132325483 has 126 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)

8×10242+19

c230

name 名前Jo Yeong Uk
date 日付February 13, 2013 12:47:35 UTC 2013 年 2 月 13 日 (水) 21 時 47 分 35 秒 (日本時間)
composite number 合成数
14327884531649643079543687483165236109140550637339442872657364071677202794628723742392100032583830517512514592446687734664738768526360494686573985850092011832815974326087990996866887251569205573473641034310077657719985935009606729<230>
prime factors 素因数
823893757005482850788033998495188004934824849<45>
composite cofactor 合成数の残り
17390451632654249895117632252443553172493557962986817249094856370082603134994899114313206471855776230099508805636995616735626167822504477677826107013735377875764178673374089530974200121<185>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM]
Input number is 14327884531649643079543687483165236109140550637339442872657364071677202794628723742392100032583830517512514592446687734664738768526360494686573985850092011832815974326087990996866887251569205573473641034310077657719985935009606729 (230 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1848119855
Step 1 took 63472ms
Step 2 took 20385ms
********** Factor found in step 2: 823893757005482850788033998495188004934824849
Found probable prime factor of 45 digits: 823893757005482850788033998495188004934824849
Composite cofactor 17390451632654249895117632252443553172493557962986817249094856370082603134994899114313206471855776230099508805636995616735626167822504477677826107013735377875764178673374089530974200121 has 185 digits
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e60--
403e6266Jo Yeong UkFebruary 4, 2011 02:22:52 UTC 2011 年 2 月 4 日 (金) 11 時 22 分 52 秒 (日本時間)
4511e64420600Dmitry DomanovMay 12, 2009 08:43:00 UTC 2009 年 5 月 12 日 (火) 17 時 43 分 0 秒 (日本時間)
3820Jo Yeong UkApril 27, 2013 12:28:32 UTC 2013 年 4 月 27 日 (土) 21 時 28 分 32 秒 (日本時間)
5043e66600Erik BrangerOctober 24, 2017 07:09:02 UTC 2017 年 10 月 24 日 (火) 16 時 9 分 2 秒 (日本時間)

8×10243+19

c121

name 名前Jo Yeong Uk
date 日付November 1, 2008 11:36:47 UTC 2008 年 11 月 1 日 (土) 20 時 36 分 47 秒 (日本時間)
composite number 合成数
4436201638881531080820121090024595020987461248035884770887711417896929274628629764144793641653411786281356411430875505523<121>
prime factors 素因数
570594377243591599388686219119749929<36>
485954209612491624876956921153428347098089<42>
15998838028061921724000945081009795138974083<44>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.3] [ECM]
Input number is 4436201638881531080820121090024595020987461248035884770887711417896929274628629764144793641653411786281356411430875505523 (121 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2085848685
Step 1 took 12792ms
Step 2 took 9578ms
********** Factor found in step 2: 570594377243591599388686219119749929
Found probable prime factor of 36 digits: 570594377243591599388686219119749929
Composite cofactor 7774702688645105274357691330510344294773167446766755376698913587511041625917629827387 has 85 digits

Sat Nov 01 20:06:03 2008  
Sat Nov 01 20:06:03 2008  
Sat Nov 01 20:06:03 2008  Msieve v. 1.32
Sat Nov 01 20:06:03 2008  random seeds: f05f1888 7a2ed8fe
Sat Nov 01 20:06:03 2008  factoring 7774702688645105274357691330510344294773167446766755376698913587511041625917629827387 (85 digits)
Sat Nov 01 20:06:04 2008  no P-1/P+1/ECM available, skipping
Sat Nov 01 20:06:04 2008  commencing quadratic sieve (85-digit input)
Sat Nov 01 20:06:04 2008  using multiplier of 67
Sat Nov 01 20:06:04 2008  using VC8 32kb sieve core
Sat Nov 01 20:06:04 2008  sieve interval: 12 blocks of size 32768
Sat Nov 01 20:06:04 2008  processing polynomials in batches of 17
Sat Nov 01 20:06:04 2008  using a sieve bound of 1442509 (54745 primes)
Sat Nov 01 20:06:04 2008  using large prime bound of 115400720 (26 bits)
Sat Nov 01 20:06:04 2008  using double large prime bound of 325068826146400 (41-49 bits)
Sat Nov 01 20:06:04 2008  using trial factoring cutoff of 49 bits
Sat Nov 01 20:06:04 2008  polynomial 'A' values have 11 factors
Sat Nov 01 20:32:05 2008  55096 relations (16088 full + 39008 combined from 569882 partial), need 54841
Sat Nov 01 20:32:05 2008  begin with 585970 relations
Sat Nov 01 20:32:05 2008  reduce to 129381 relations in 9 passes
Sat Nov 01 20:32:05 2008  attempting to read 129381 relations
Sat Nov 01 20:32:07 2008  recovered 129381 relations
Sat Nov 01 20:32:07 2008  recovered 111770 polynomials
Sat Nov 01 20:32:07 2008  attempting to build 55096 cycles
Sat Nov 01 20:32:07 2008  found 55096 cycles in 5 passes
Sat Nov 01 20:32:07 2008  distribution of cycle lengths:
Sat Nov 01 20:32:07 2008     length 1 : 16088
Sat Nov 01 20:32:07 2008     length 2 : 11156
Sat Nov 01 20:32:07 2008     length 3 : 9817
Sat Nov 01 20:32:07 2008     length 4 : 6949
Sat Nov 01 20:32:07 2008     length 5 : 4796
Sat Nov 01 20:32:07 2008     length 6 : 2849
Sat Nov 01 20:32:07 2008     length 7 : 1602
Sat Nov 01 20:32:07 2008     length 9+: 1839
Sat Nov 01 20:32:07 2008  largest cycle: 17 relations
Sat Nov 01 20:32:07 2008  matrix is 54745 x 55096 with weight 3015660 (avg 54.73/col)
Sat Nov 01 20:32:07 2008  filtering completed in 3 passes
Sat Nov 01 20:32:07 2008  matrix is 49581 x 49645 with weight 2734730 (avg 55.09/col)
Sat Nov 01 20:32:07 2008  saving the first 48 matrix rows for later
Sat Nov 01 20:32:07 2008  matrix is 49533 x 49645 with weight 2135984 (avg 43.03/col)
Sat Nov 01 20:32:07 2008  matrix includes 64 packed rows
Sat Nov 01 20:32:07 2008  commencing Lanczos iteration
Sat Nov 01 20:32:40 2008  lanczos halted after 785 iterations (dim = 49530)
Sat Nov 01 20:32:41 2008  recovered 16 nontrivial dependencies
Sat Nov 01 20:32:41 2008  prp42 factor: 485954209612491624876956921153428347098089
Sat Nov 01 20:32:41 2008  prp44 factor: 15998838028061921724000945081009795138974083
Sat Nov 01 20:32:41 2008  elapsed time 00:26:38
execution environment 実行環境
Core 2 Quad Q6600,Windows Vista(tm) Ultimate K x64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkNovember 1, 2008 06:41:41 UTC 2008 年 11 月 1 日 (土) 15 時 41 分 41 秒 (日本時間)

8×10244+19

c199

name 名前Jo Yeong Uk
date 日付April 7, 2013 02:21:51 UTC 2013 年 4 月 7 日 (日) 11 時 21 分 51 秒 (日本時間)
composite number 合成数
4989719550969023674916220069105323099035254845764663680168570115803888352756291458951569036847759837310694658793643565127294386108522380829831128949397387038248676240394807727475466179992759373354377<199>
prime factors 素因数
517577048455959524461040395235338167494627565865529<51>
9640534807048341155855022792607401918177305505201463644035201520650627425256390522949906867325311783925942694752372751331460482714493443683496322513<148>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.5 and --enable-asm-redc] [ECM]
Input number is 4989719550969023674916220069105323099035254845764663680168570115803888352756291458951569036847759837310694658793643565127294386108522380829831128949397387038248676240394807727475466179992759373354377 (199 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2544345299
Step 1 took 55807ms
Step 2 took 18055ms
********** Factor found in step 2: 517577048455959524461040395235338167494627565865529
Found probable prime factor of 51 digits: 517577048455959524461040395235338167494627565865529
Probable prime cofactor 9640534807048341155855022792607401918177305505201463644035201520650627425256390522949906867325311783925942694752372751331460482714493443683496322513 has 148 digits
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkAugust 27, 2010 14:54:51 UTC 2010 年 8 月 27 日 (金) 23 時 54 分 51 秒 (日本時間)
403e62111Jo Yeong UkFebruary 4, 2011 02:23:00 UTC 2011 年 2 月 4 日 (金) 11 時 23 分 0 秒 (日本時間)

8×10246+19

c157

name 名前Serge Batalov
date 日付November 4, 2008 16:57:49 UTC 2008 年 11 月 5 日 (水) 1 時 57 分 49 秒 (日本時間)
composite number 合成数
2299045240422569802993721301700792860811599639640751880445141369355142007512624617692485421768499513237520278081936673408099549026757535740080796611359052603<157>
prime factors 素因数
8415713706200900127931199895379743806544075670969<49>
273184820763160944148394055954587276134525002594293166787252148081315618120301142706791530493734100974000787<108>
factorization results 素因数分解の結果
SNFS difficulty: 164 digits.
Divisors found:
 r1=8415713706200900127931199895379743806544075670969
 r2=273184820763160944148394055954587276134525002594293166787252148081315618120301142706791530493734100974000787
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.507).
Factorization parameters were as follows:
n: 2299045240422569802993721301700792860811599639640751880445141369355142007512624617692485421768499513237520278081936673408099549026757535740080796611359052603
m: 1000000000000000000000000000
deg: 6
c6: 400
c3: -20
c0: 1
skew: 0.37
type: snfs
lss: 0
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1950000, 4050001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 837829 x 838077
Total sieving time: 0.00 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,164,6,0,0,0,0,0,0,0,0,3900000,3900000,27,27,52,52,2.5,2.5,100000
total time: 20.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e6825Serge BatalovNovember 2, 2008 02:58:43 UTC 2008 年 11 月 2 日 (日) 11 時 58 分 43 秒 (日本時間)

8×10248+19

c225

composite cofactor 合成数の残り
104128327705561543944931510347175093586276681018588879317229309027845086070462881772026811950472282549171380984313090893055479588264997354436791371692423068005894007866833280708963730259493917032855339318439724897216879358067<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 31, 2008 04:00:00 UTC 2008 年 10 月 31 日 (金) 13 時 0 分 0 秒 (日本時間)
351e60--
403e6266Jo Yeong UkFebruary 4, 2011 02:23:11 UTC 2011 年 2 月 4 日 (金) 11 時 23 分 11 秒 (日本時間)
4511e64420600Dmitry DomanovMay 12, 2009 17:28:12 UTC 2009 年 5 月 13 日 (水) 2 時 28 分 12 秒 (日本時間)
3820Jo Yeong UkApril 27, 2013 12:28:42 UTC 2013 年 4 月 27 日 (土) 21 時 28 分 42 秒 (日本時間)
5043e66600Erik BrangerOctober 30, 2017 07:35:02 UTC 2017 年 10 月 30 日 (月) 16 時 35 分 2 秒 (日本時間)

8×10251+19

c203

name 名前Erik Branger
date 日付April 28, 2014 07:13:54 UTC 2014 年 4 月 28 日 (月) 16 時 13 分 54 秒 (日本時間)
composite number 合成数
20636505635139097800830634048955384832959675912320810581209496532071987027460362341409944057532351537554688435341672261579309409451780380846262419842623031403024054299706046584986621026085830239374899023<203>
prime factors 素因数
66239727824355905915143451702317834929209257823<47>
composite cofactor 合成数の残り
311542729913681686090896881619070800798413784932788851627079633203900904901608531414485357385262199704278346713435257204864018773448039377364593541032144401<156>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 20636505635139097800830634048955384832959675912320810581209496532071987027460362341409944057532351537554688435341672261579309409451780380846262419842623031403024054299706046584986621026085830239374899023 (203 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:568293251
Step 1 took 79499ms
Step 2 took 42806ms
********** Factor found in step 2: 66239727824355905915143451702317834929209257823
Found probable prime factor of 47 digits: 66239727824355905915143451702317834929209257823
Composite cofactor 311542729913681686090896881619070800798413784932788851627079633203900904901608531414485357385262199704278346713435257204864018773448039377364593541032144401 has 156 digits
software ソフトウェア
GMP-ECM

c156

name 名前Erik Branger
date 日付October 30, 2017 07:35:46 UTC 2017 年 10 月 30 日 (月) 16 時 35 分 46 秒 (日本時間)
composite number 合成数
311542729913681686090896881619070800798413784932788851627079633203900904901608531414485357385262199704278346713435257204864018773448039377364593541032144401<156>
prime factors 素因数
814354970872757731269067550943605493490722883<45>
382563797185146637459471281202310877024657583181819001765139205392954968992270347147792771565055193904867288347<111>
factorization results 素因数分解の結果
Sun 2017/10/29 03:10:13 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Sun 2017/10/29 03:10:13 UTC Input number is 311542729913681686090896881619070800798413784932788851627079633203900904901608531414485357385262199704278346713435257204864018773448039377364593541032144401 (156 digits)
Sun 2017/10/29 03:10:13 UTC Run 361 out of 6600:
Sun 2017/10/29 03:10:13 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2254246243
Sun 2017/10/29 03:10:13 UTC Step 1 took 137328ms
Sun 2017/10/29 03:10:13 UTC Step 2 took 45302ms
Sun 2017/10/29 03:10:13 UTC ********** Factor found in step 2: 814354970872757731269067550943605493490722883
Sun 2017/10/29 03:10:13 UTC Found prime factor of 45 digits: 814354970872757731269067550943605493490722883
Sun 2017/10/29 03:10:13 UTC Prime cofactor 382563797185146637459471281202310877024657583181819001765139205392954968992270347147792771565055193904867288347 has 111 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:20:21 UTC 2014 年 2 月 27 日 (木) 20 時 20 分 21 秒 (日本時間)
403e60--
4511e64439640Erik BrangerApril 27, 2014 19:30:13 UTC 2014 年 4 月 28 日 (月) 4 時 30 分 13 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:54 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 54 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:52 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 52 秒 (日本時間)
2599KTakahashiAugust 28, 2014 10:59:07 UTC 2014 年 8 月 28 日 (木) 19 時 59 分 7 秒 (日本時間)

8×10253+19

c228

name 名前Erik Branger
date 日付November 1, 2017 08:43:02 UTC 2017 年 11 月 1 日 (水) 17 時 43 分 2 秒 (日本時間)
composite number 合成数
210922637679809580865977356571886999315594939325443541874581123730692371850829067201180943603826135338070103140593069889188315440202171801978174758132754411530820365480532722674671702370289150855409143021771966347859464316474061<228>
prime factors 素因数
535971172073540759572614776553169327602492916021<48>
393533549320948972105551432815465086611534626113215148310843768167197919438525395698553285152580511043133805849590157791816669111819134755178312263886004098846520564489658922653241<180>
factorization results 素因数分解の結果
Tue 2017/10/31 19:13:49 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Tue 2017/10/31 19:13:49 UTC Input number is 210922637679809580865977356571886999315594939325443541874581123730692371850829067201180943603826135338070103140593069889188315440202171801978174758132754411530820365480532722674671702370289150855409143021771966347859464316474061 (228 digits)
Tue 2017/10/31 19:13:49 UTC Run 1839 out of 6600:
Tue 2017/10/31 19:13:49 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3900128024
Tue 2017/10/31 19:13:49 UTC Step 1 took 190071ms
Tue 2017/10/31 19:13:49 UTC Step 2 took 58828ms
Tue 2017/10/31 19:13:49 UTC ********** Factor found in step 2: 535971172073540759572614776553169327602492916021
Tue 2017/10/31 19:13:49 UTC Found prime factor of 48 digits: 535971172073540759572614776553169327602492916021
Tue 2017/10/31 19:13:49 UTC Prime cofactor 393533549320948972105551432815465086611534626113215148310843768167197919438525395698553285152580511043133805849590157791816669111819134755178312263886004098846520564489658922653241 has 180 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:20:36 UTC 2014 年 2 月 27 日 (木) 20 時 20 分 36 秒 (日本時間)
403e60--
4511e6940 / 4439640Erik BrangerApril 28, 2014 07:09:09 UTC 2014 年 4 月 28 日 (月) 16 時 9 分 9 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:53 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 53 秒 (日本時間)

8×10254+19

c199

name 名前Erik Branger
date 日付April 28, 2014 07:10:40 UTC 2014 年 4 月 28 日 (月) 16 時 10 分 40 秒 (日本時間)
composite number 合成数
8968281208072633514651897900399256809993040800121898321073770223098995572252019088148867531304252809658529494475683664252560236273411180699775411242227982913624464070252520390674361993454520999510611<199>
prime factors 素因数
52904068605384519127567637467029007097<38>
composite cofactor 合成数の残り
169519688078581001834204465904758177514329317825992385974464531063908365206667017533743806913030337574519980859601834138993409506990543202002354739053792831995563<162>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 8968281208072633514651897900399256809993040800121898321073770223098995572252019088148867531304252809658529494475683664252560236273411180699775411242227982913624464070252520390674361993454520999510611 (199 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1096194505
Step 1 took 78859ms
Step 2 took 41012ms
********** Factor found in step 2: 52904068605384519127567637467029007097
Found probable prime factor of 38 digits: 52904068605384519127567637467029007097
Composite cofactor 169519688078581001834204465904758177514329317825992385974464531063908365206667017533743806913030337574519980859601834138993409506990543202002354739053792831995563 has 162 digits
software ソフトウェア
GMP-ECM

c162

name 名前Erik Branger
date 日付November 1, 2017 13:23:53 UTC 2017 年 11 月 1 日 (水) 22 時 23 分 53 秒 (日本時間)
composite number 合成数
169519688078581001834204465904758177514329317825992385974464531063908365206667017533743806913030337574519980859601834138993409506990543202002354739053792831995563<162>
prime factors 素因数
9054936642332097743165395137542855954387662363<46>
18721245081502991988951684628722942666959351282428780777585178086493017798214095677351828408040888771513660594676401<116>
factorization results 素因数分解の結果
Wed 2017/11/01 13:20:17 UTC GMP-ECM 7.0-dev [configured with GMP 6.1.0, --enable-asm-redc] [ECM]
Wed 2017/11/01 13:20:17 UTC Input number is 169519688078581001834204465904758177514329317825992385974464531063908365206667017533743806913030337574519980859601834138993409506990543202002354739053792831995563 (162 digits)
Wed 2017/11/01 13:20:17 UTC Run 1521 out of 6600:
Wed 2017/11/01 13:20:17 UTC Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:58559374
Wed 2017/11/01 13:20:17 UTC Step 1 took 128077ms
Wed 2017/11/01 13:20:17 UTC Step 2 took 44257ms
Wed 2017/11/01 13:20:17 UTC ********** Factor found in step 2: 9054936642332097743165395137542855954387662363
Wed 2017/11/01 13:20:17 UTC Found prime factor of 46 digits: 9054936642332097743165395137542855954387662363
Wed 2017/11/01 13:20:17 UTC Prime cofactor 18721245081502991988951684628722942666959351282428780777585178086493017798214095677351828408040888771513660594676401 has 116 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:21:00 UTC 2014 年 2 月 27 日 (木) 20 時 21 分 0 秒 (日本時間)
403e60--
4511e6640Erik BrangerApril 28, 2014 07:10:12 UTC 2014 年 4 月 28 日 (月) 16 時 10 分 12 秒 (日本時間)
5043e61088 / 7404CypMay 2, 2014 17:22:35 UTC 2014 年 5 月 3 日 (土) 2 時 22 分 35 秒 (日本時間)

8×10255+19

c148

name 名前Serge Batalov
date 日付February 28, 2014 14:56:35 UTC 2014 年 2 月 28 日 (金) 23 時 56 分 35 秒 (日本時間)
composite number 合成数
4574939133166380985264826330639054276430211418768363943552002093102602985195350284528053716403500726231159952712692933748472769018645430872051423089<148>
prime factors 素因数
15117076638470249114449544624100684769<38>
302633851939599307890190981340340102939011842075197056684436577816219868919034808165777703674645509508468987281<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1656756113
Step 1 took 10313ms
Step 2 took 9392ms
********** Factor found in step 2: 15117076638470249114449544624100684769
Found probable prime factor of 38 digits: 15117076638470249114449544624100684769
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:21:15 UTC 2014 年 2 月 27 日 (木) 20 時 21 分 15 秒 (日本時間)

8×10256+19

c253

composite cofactor 合成数の残り
1115153542703410975898744058322530283388394039504314250268333821213008266075635289033858849440332315755725616470817825729380114024449741423772285646579963478721476463290539316132089937133219030095206233708303712067355273979286022944284141122680829116659<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:21:33 UTC 2014 年 2 月 27 日 (木) 20 時 21 分 33 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:03 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 3 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:08:03 UTC 2014 年 5 月 19 日 (月) 5 時 8 分 3 秒 (日本時間)
5043e687001000Serge BatalovMay 18, 2014 20:17:11 UTC 2014 年 5 月 19 日 (月) 5 時 17 分 11 秒 (日本時間)
1100Serge BatalovJanuary 6, 2015 01:38:55 UTC 2015 年 1 月 6 日 (火) 10 時 38 分 55 秒 (日本時間)
6600Erik BrangerNovember 7, 2017 08:31:44 UTC 2017 年 11 月 7 日 (火) 17 時 31 分 44 秒 (日本時間)

8×10257+19

c201

name 名前KTakahashi
date 日付February 27, 2014 11:23:23 UTC 2014 年 2 月 27 日 (木) 20 時 23 分 23 秒 (日本時間)
composite number 合成数
129752833851125785433282203329236276591396445728233388583244175604370453464317184626268570831221633627311799768438156743382854538341432819798768061578396505261605936749128309489671888721970475090251763<201>
prime factors 素因数
66590187048195668838207789588707<32>
1948527847762541687418492774335866833877182414983397541918565214087755123327231878385153092813104840459112256984728012159831914150578036941492742146564039230328336716209<169>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 129752833851125785433282203329236276591396445728233388583244175604370453464317184626268570831221633627311799768438156743382854538341432819798768061578396505261605936749128309489671888721970475090251763 (201 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3460598367
Step 1 took 5662ms
Step 2 took 2964ms
********** Factor found in step 2: 66590187048195668838207789588707
Found probable prime factor of 32 digits: 66590187048195668838207789588707
Probable prime cofactor 1948527847762541687418492774335866833877182414983397541918565214087755123327231878385153092813104840459112256984728012159831914150578036941492742146564039230328336716209 has 169 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)

8×10258+19

c115

name 名前Dmitry Domanov
date 日付February 27, 2014 11:54:44 UTC 2014 年 2 月 27 日 (木) 20 時 54 分 44 秒 (日本時間)
composite number 合成数
1093754226531281143124840972041623685478282522093356030751029127471286401763204622567922468682376723426425126747097<115>
prime factors 素因数
6013597517394051473583074575519126966562233<43>
181880184592940889424414566741469794591238958444348196221653352438239009<72>
factorization results 素因数分解の結果
N=1093754226531281143124840972041623685478282522093356030751029127471286401763204622567922468682376723426425126747097
  ( 115 digits)
Divisors found:
 r1=6013597517394051473583074575519126966562233 (pp43)
 r2=181880184592940889424414566741469794591238958444348196221653352438239009 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 26.32 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1093754226531281143124840972041623685478282522093356030751029127471286401763204622567922468682376723426425126747097
skew: 68871.17
c0: -5962021011063546960687502297
c1: -304470285122788722328405
c2: 3300322586628893113
c3: -20867944247207
c4: -1218495924
c5: 15120
Y0: -9372896850415187617530
Y1: 330716884409
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2250000, 3450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 382541 x 382777
Total sieving time: 26.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 26.32 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)

8×10259+19

c242

name 名前Erik Branger
date 日付April 28, 2014 08:46:17 UTC 2014 年 4 月 28 日 (月) 17 時 46 分 17 秒 (日本時間)
composite number 合成数
57921980449897660404658744638031601820648068957522599480637505927092970667581468221768131772889569069961602361668122344361456148248114952308129507250001381750789284760444206059940338036642719995356294185767137220919407322044599006210966349707<242>
prime factors 素因数
12860037084145558420676478139751725529<38>
composite cofactor 合成数の残り
4504029037467281151992983569159830740292425182978712525652925223388085413576220786738893664165639034589087994259570506868517967364381351398203498261681984412712293153910115003532152699126293387481896225283<205>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 57921980449897660404658744638031601820648068957522599480637505927092970667581468221768131772889569069961602361668122344361456148248114952308129507250001381750789284760444206059940338036642719995356294185767137220919407322044599006210966349707 (242 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1342766706
Step 1 took 92337ms
Step 2 took 46519ms
********** Factor found in step 2: 12860037084145558420676478139751725529
Found probable prime factor of 38 digits: 12860037084145558420676478139751725529
Composite cofactor 4504029037467281151992983569159830740292425182978712525652925223388085413576220786738893664165639034589087994259570506868517967364381351398203498261681984412712293153910115003532152699126293387481896225283 has 205 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:24:50 UTC 2014 年 2 月 27 日 (木) 20 時 24 分 50 秒 (日本時間)
403e60--
4511e67540640Erik BrangerApril 28, 2014 15:41:55 UTC 2014 年 4 月 29 日 (火) 0 時 41 分 55 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:53 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 53 秒 (日本時間)
6600Erik BrangerNovember 15, 2017 08:34:09 UTC 2017 年 11 月 15 日 (水) 17 時 34 分 9 秒 (日本時間)
5043e66000Erik BrangerMay 8, 2018 17:32:45 UTC 2018 年 5 月 9 日 (水) 2 時 32 分 45 秒 (日本時間)

8×10260+19

c238

composite cofactor 合成数の残り
4118562919742160734203432949334400913505021561850547886151832663922123979528646145054615872064414787270339285214569899021864180033857421206154310383141408479910704859054980916213409181630229006477089329824338917412893884924322737242610193<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:25:03 UTC 2014 年 2 月 27 日 (木) 20 時 25 分 3 秒 (日本時間)
403e60--
4511e63440640Erik BrangerApril 28, 2014 20:38:38 UTC 2014 年 4 月 29 日 (火) 5 時 38 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:53 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 53 秒 (日本時間)
2500Erik BrangerNovember 15, 2017 09:56:05 UTC 2017 年 11 月 15 日 (水) 18 時 56 分 5 秒 (日本時間)
5043e66800Erik BrangerMay 18, 2018 14:48:30 UTC 2018 年 5 月 18 日 (金) 23 時 48 分 30 秒 (日本時間)

8×10262+19

c256

name 名前KTakahashi
date 日付February 27, 2014 11:28:46 UTC 2014 年 2 月 27 日 (木) 20 時 28 分 46 秒 (日本時間)
composite number 合成数
4475159703066440961987042510716748850177638667438407957460474410561332147639770005879800454866420118930725478767968395527145004180638255108380816176270275480202816475322822637617733760106938416264475673227642367836087430523844853597108196551475496514773593<256>
prime factors 素因数
2165283649787415633551044740663169<34>
composite cofactor 合成数の残り
2066777580621275907456430015676616670007381636740703544297437060557760439488206018355350413730316125719029674349698655215551918433000708056737575827077990607041799482950731007364539830797123662005522945980601154811181319897<223>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 4475159703066440961987042510716748850177638667438407957460474410561332147639770005879800454866420118930725478767968395527145004180638255108380816176270275480202816475322822637617733760106938416264475673227642367836087430523844853597108196551475496514773593 (256 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3791331756
Step 1 took 7925ms
Step 2 took 3869ms
********** Factor found in step 2: 2165283649787415633551044740663169
Found probable prime factor of 34 digits: 2165283649787415633551044740663169
Composite cofactor 2066777580621275907456430015676616670007381636740703544297437060557760439488206018355350413730316125719029674349698655215551918433000708056737575827077990607041799482950731007364539830797123662005522945980601154811181319897 has 223 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:25:17 UTC 2014 年 2 月 27 日 (木) 20 時 25 分 17 秒 (日本時間)
403e60--
4511e6940640Erik BrangerApril 29, 2014 05:56:19 UTC 2014 年 4 月 29 日 (火) 14 時 56 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:54 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 54 秒 (日本時間)
5043e67500Erik BrangerMay 18, 2018 14:48:39 UTC 2018 年 5 月 18 日 (金) 23 時 48 分 39 秒 (日本時間)

8×10264+19

c131

name 名前Jo Yeong Uk
date 日付March 6, 2014 12:30:23 UTC 2014 年 3 月 6 日 (木) 21 時 30 分 23 秒 (日本時間)
composite number 合成数
37528792491115951802782676767502697539284443546368830026774307238454416517586382181149591462432965390923206613713975357450168931259<131>
prime factors 素因数
3197495693964886410787813974504709441802782455824347<52>
11736932925961300026118459703417523981635252387177267156020305977782587094036897<80>
factorization results 素因数分解の結果
Number: 88889_264
N=37528792491115951802782676767502697539284443546368830026774307238454416517586382181149591462432965390923206613713975357450168931259
  ( 131 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=3197495693964886410787813974504709441802782455824347
 r2=11736932925961300026118459703417523981635252387177267156020305977782587094036897
Version: 
Total time: 45.60 hours.
Scaled time: 239.48 units (timescale=5.252).
Factorization parameters were as follows:
n: 37528792491115951802782676767502697539284443546368830026774307238454416517586382181149591462432965390923206613713975357450168931259
m: 200000000000000000000000000000
deg: 6
c6: 25
c3: -10
c0: 4
skew: 0.74
# Murphy_E = 6.902e-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, 9500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18243422
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1367678 x 1367926
Total sieving time: 40.84 hours.
Total relation processing time: 2.48 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,177,6,0,0,0,0,0,0,0,0,9000000,9000000,28,28,53,53,2.5,2.5,100000
total time: 45.60 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:30:01 UTC 2014 年 2 月 27 日 (木) 20 時 30 分 1 秒 (日本時間)
403e6604KTakahashiFebruary 27, 2014 21:21:13 UTC 2014 年 2 月 28 日 (金) 6 時 21 分 13 秒 (日本時間)
4511e61000 / 4305Serge BatalovMarch 2, 2014 03:22:55 UTC 2014 年 3 月 2 日 (日) 12 時 22 分 55 秒 (日本時間)

8×10265+19

c247

composite cofactor 合成数の残り
2914406366294762071217857534186056867209145552328631705934497880809940778428629670815402948810455170299654329358015810251472333386367799416559494863220873251904166269533706700390094432754402404700293885463878915345339765721146902990179846762208149<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:30:15 UTC 2014 年 2 月 27 日 (木) 20 時 30 分 15 秒 (日本時間)
403e60--
4511e6940640Erik BrangerApril 29, 2014 09:35:17 UTC 2014 年 4 月 29 日 (火) 18 時 35 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:54 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 54 秒 (日本時間)
5043e67500Erik BrangerMay 29, 2018 05:06:42 UTC 2018 年 5 月 29 日 (火) 14 時 6 分 42 秒 (日本時間)

8×10266+19

c241

composite cofactor 合成数の残り
2025510900752483196993887961330052195607749647600063382975991843136068669813802371811538934628773513105189288027558654076571874713641788702736758402510383355770951350955400768738182536450476385055688415624518095391321492037414890265961686043<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:30:29 UTC 2014 年 2 月 27 日 (木) 20 時 30 分 29 秒 (日本時間)
403e60--
4511e6940640Erik BrangerApril 29, 2014 18:15:21 UTC 2014 年 4 月 30 日 (水) 3 時 15 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:55 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 55 秒 (日本時間)
5043e67500Erik BrangerJune 20, 2018 18:25:46 UTC 2018 年 6 月 21 日 (木) 3 時 25 分 46 秒 (日本時間)

8×10267+19

c156

name 名前Serge Batalov
date 日付March 2, 2014 02:54:44 UTC 2014 年 3 月 2 日 (日) 11 時 54 分 44 秒 (日本時間)
composite number 合成数
203533383790472449078038801205218768427368014832504639446388672474442480856367371659704936473166037744867236637684356560712223791971970741868388901738637501<156>
prime factors 素因数
528362530625303843765100503428048577221<39>
4102729468811729266176891986615245576981<40>
93892469227375980136487677159271828179354182177938182116991678258475750627701<77>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1904895260
Step 1 took 40970ms
Step 2 took 21516ms
********** Factor found in step 2: 528362530625303843765100503428048577221
Found probable prime factor of 39 digits: 528362530625303843765100503428048577221

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1166502663
Step 1 took 43402ms
Step 2 took 24951ms
********** Factor found in step 2: 4102729468811729266176891986615245576981
Found probable prime factor of 40 digits: 4102729468811729266176891986615245576981

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:30:42 UTC 2014 年 2 月 27 日 (木) 20 時 30 分 42 秒 (日本時間)

8×10268+19

c261

name 名前Erik Branger
date 日付June 19, 2018 05:25:22 UTC 2018 年 6 月 19 日 (火) 14 時 25 分 22 秒 (日本時間)
composite number 合成数
202689210003830344682198634417424933968732589867790870208600311443625800460544849017428203852412976660826455778070050551373051039050891153641844096937340954052385517846824211871700091396871936439683812027860979798273006348360338921593933049813186549050475919459<261>
prime factors 素因数
57247673480464690806078105721037376817675801<44>
3540566763346224211642249740408630733759352857521425390764188115407033508916458418381332021473404646213132878007540599805454776767144539414238909256313326960186169875128827727725584064436232557725715422703382343287259<217>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 202689210003830344682198634417424933968732589867790870208600311443625800460544849017428203852412976660826455778070050551373051039050891153641844096937340954052385517846824211871700091396871936439683812027860979798273006348360338921593933049813186549050475919459 (261 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2253217828
Step 1 took 355844ms
Step 2 took 130531ms
********** Factor found in step 2: 57247673480464690806078105721037376817675801
Found probable prime factor of 44 digits: 57247673480464690806078105721037376817675801
Probable prime cofactor 3540566763346224211642249740408630733759352857521425390764188115407033508916458418381332021473404646213132878007540599805454776767144539414238909256313326960186169875128827727725584064436232557725715422703382343287259 has 217 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:30:55 UTC 2014 年 2 月 27 日 (木) 20 時 30 分 55 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:47 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 47 秒 (日本時間)
4511e6450 / 4151Erik BrangerApril 30, 2014 06:53:56 UTC 2014 年 4 月 30 日 (水) 15 時 53 分 56 秒 (日本時間)

8×10269+19

c245

composite cofactor 合成数の残り
99141338661438568614579165118445054247682048706192556644124715429492501877301224971803877377980944689351839858970344214516622560836015693460480577296905672596974577939641531971355788729761758386531878331890460805194794540990042664829354868778387<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:31:09 UTC 2014 年 2 月 27 日 (木) 20 時 31 分 9 秒 (日本時間)
403e60--
4511e6940640Erik BrangerApril 30, 2014 06:54:06 UTC 2014 年 4 月 30 日 (水) 15 時 54 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:55 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 55 秒 (日本時間)
5043e67500Erik BrangerAugust 4, 2018 19:35:28 UTC 2018 年 8 月 5 日 (日) 4 時 35 分 28 秒 (日本時間)

8×10270+19

c153

name 名前KTakahashi
date 日付February 27, 2014 07:59:46 UTC 2014 年 2 月 27 日 (木) 16 時 59 分 46 秒 (日本時間)
composite number 合成数
941261789529260377620733442636518855569444718316948221502324763752794988307169463205729988440057622562309512712093569533153947131066802790239108057886841<153>
prime factors 素因数
43241518763217038146140300456608137<35>
composite cofactor 合成数の残り
21767546942174825423727956410758344555795317346990799657891740874939108906749443119017070516271779429648396587176897393<119>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 941261789529260377620733442636518855569444718316948221502324763752794988307169463205729988440057622562309512712093569533153947131066802790239108057886841 (153 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3443500164
Step 1 took 4321ms
Step 2 took 2636ms
********** Factor found in step 2: 43241518763217038146140300456608137
Found probable prime factor of 35 digits: 43241518763217038146140300456608137
Composite cofactor 21767546942174825423727956410758344555795317346990799657891740874939108906749443119017070516271779429648396587176897393 has 119 digits

c119

name 名前Cyp
date 日付March 4, 2014 03:45:32 UTC 2014 年 3 月 4 日 (火) 12 時 45 分 32 秒 (日本時間)
composite number 合成数
21767546942174825423727956410758344555795317346990799657891740874939108906749443119017070516271779429648396587176897393<119>
prime factors 素因数
776508155651386686522358732086232113952647359667386574649<57>
28032605689652749737003381379380405434547458036255054283697657<62>
factorization results 素因数分解の結果
03/03/14 23:16:43 v1.34.3, 
03/03/14 23:16:43 v1.34.3, ****************************
03/03/14 23:16:43 v1.34.3, Starting factorization of 21767546942174825423727956410758344555795317346990799657891740874939108906749443119017070516271779429648396587176897393
03/03/14 23:16:43 v1.34.3, using pretesting plan: none
03/03/14 23:16:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/03/14 23:16:43 v1.34.3, ****************************
03/03/14 23:16:43 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C119
03/03/14 23:16:43 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C119
03/03/14 23:16:43 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C119
03/03/14 23:16:43 v1.34.3, final ECM pretested depth: 0.00
03/03/14 23:16:43 v1.34.3, scheduler: switching to sieve method
03/03/14 23:16:43 v1.34.3, nfs: commencing nfs on c119: 21767546942174825423727956410758344555795317346990799657891740874939108906749443119017070516271779429648396587176897393
03/03/14 23:16:43 v1.34.3, nfs: commencing poly selection with 8 threads
03/03/14 23:16:43 v1.34.3, nfs: setting deadline of 1518 seconds
03/03/14 23:42:27 v1.34.3, nfs: completed 159 ranges of size 250 in 1543.7750 seconds
03/03/14 23:42:27 v1.34.3, nfs: best poly = # norm 2.863715e-11 alpha -7.729850 e 3.561e-10 rroots 3
03/03/14 23:42:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/03/14 23:50:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
03/04/14 04:00:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/04/14 04:08:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/04/14 04:16:41 v1.34.3, nfs: commencing msieve filtering
03/04/14 04:19:25 v1.34.3, nfs: commencing msieve linear algebra
03/04/14 04:36:06 v1.34.3, nfs: commencing msieve sqrt
03/04/14 04:45:31 v1.34.3, prp62 = 28032605689652749737003381379380405434547458036255054283697657
03/04/14 04:45:31 v1.34.3, prp57 = 776508155651386686522358732086232113952647359667386574649
03/04/14 04:45:31 v1.34.3, NFS elapsed time = 19727.8159 seconds.
03/04/14 04:45:31 v1.34.3, 
03/04/14 04:45:31 v1.34.3, 
03/04/14 04:45:31 v1.34.3, Total factoring time = 19727.8612 seconds
--
Tue Mar  4 04:16:41 2014  
Tue Mar  4 04:16:41 2014  commencing relation filtering
Tue Mar  4 04:16:41 2014  estimated available RAM is 15988.7 MB
Tue Mar  4 04:16:41 2014  commencing duplicate removal, pass 1
Tue Mar  4 04:17:20 2014  found 1101742 hash collisions in 10332230 relations
Tue Mar  4 04:17:35 2014  added 63206 free relations
Tue Mar  4 04:17:35 2014  commencing duplicate removal, pass 2
Tue Mar  4 04:17:46 2014  found 523308 duplicates and 9872128 unique relations
Tue Mar  4 04:17:46 2014  memory use: 41.3 MB
Tue Mar  4 04:17:46 2014  reading ideals above 100000
Tue Mar  4 04:17:46 2014  commencing singleton removal, initial pass
Tue Mar  4 04:18:48 2014  memory use: 344.5 MB
Tue Mar  4 04:18:48 2014  reading all ideals from disk
Tue Mar  4 04:18:48 2014  memory use: 347.2 MB
Tue Mar  4 04:18:49 2014  keeping 10839559 ideals with weight <= 200, target excess is 50238
Tue Mar  4 04:18:49 2014  commencing in-memory singleton removal
Tue Mar  4 04:18:50 2014  begin with 9872128 relations and 10839559 unique ideals
Tue Mar  4 04:18:55 2014  reduce to 3597299 relations and 3413189 ideals in 24 passes
Tue Mar  4 04:18:55 2014  max relations containing the same ideal: 104
Tue Mar  4 04:18:56 2014  removing 570006 relations and 507089 ideals in 62917 cliques
Tue Mar  4 04:18:56 2014  commencing in-memory singleton removal
Tue Mar  4 04:18:57 2014  begin with 3027293 relations and 3413189 unique ideals
Tue Mar  4 04:18:58 2014  reduce to 2950442 relations and 2827359 ideals in 12 passes
Tue Mar  4 04:18:58 2014  max relations containing the same ideal: 89
Tue Mar  4 04:18:59 2014  removing 425366 relations and 362449 ideals in 62917 cliques
Tue Mar  4 04:18:59 2014  commencing in-memory singleton removal
Tue Mar  4 04:18:59 2014  begin with 2525076 relations and 2827359 unique ideals
Tue Mar  4 04:19:00 2014  reduce to 2470420 relations and 2409049 ideals in 10 passes
Tue Mar  4 04:19:00 2014  max relations containing the same ideal: 82
Tue Mar  4 04:19:02 2014  relations with 0 large ideals: 156
Tue Mar  4 04:19:02 2014  relations with 1 large ideals: 474
Tue Mar  4 04:19:02 2014  relations with 2 large ideals: 7593
Tue Mar  4 04:19:02 2014  relations with 3 large ideals: 58453
Tue Mar  4 04:19:02 2014  relations with 4 large ideals: 240606
Tue Mar  4 04:19:02 2014  relations with 5 large ideals: 553146
Tue Mar  4 04:19:02 2014  relations with 6 large ideals: 738057
Tue Mar  4 04:19:02 2014  relations with 7+ large ideals: 871935
Tue Mar  4 04:19:02 2014  commencing 2-way merge
Tue Mar  4 04:19:03 2014  reduce to 1383313 relation sets and 1321943 unique ideals
Tue Mar  4 04:19:03 2014  ignored 1 oversize relation sets
Tue Mar  4 04:19:03 2014  commencing full merge
Tue Mar  4 04:19:18 2014  memory use: 149.1 MB
Tue Mar  4 04:19:18 2014  found 687296 cycles, need 678143
Tue Mar  4 04:19:19 2014  weight of 678143 cycles is about 47541749 (70.11/cycle)
Tue Mar  4 04:19:19 2014  distribution of cycle lengths:
Tue Mar  4 04:19:19 2014  1 relations: 83105
Tue Mar  4 04:19:19 2014  2 relations: 79149
Tue Mar  4 04:19:19 2014  3 relations: 76665
Tue Mar  4 04:19:19 2014  4 relations: 68393
Tue Mar  4 04:19:19 2014  5 relations: 61790
Tue Mar  4 04:19:19 2014  6 relations: 52100
Tue Mar  4 04:19:19 2014  7 relations: 46184
Tue Mar  4 04:19:19 2014  8 relations: 39713
Tue Mar  4 04:19:19 2014  9 relations: 33971
Tue Mar  4 04:19:19 2014  10+ relations: 137073
Tue Mar  4 04:19:19 2014  heaviest cycle: 23 relations
Tue Mar  4 04:19:19 2014  commencing cycle optimization
Tue Mar  4 04:19:20 2014  start with 4088832 relations
Tue Mar  4 04:19:24 2014  pruned 77991 relations
Tue Mar  4 04:19:24 2014  memory use: 139.8 MB
Tue Mar  4 04:19:24 2014  distribution of cycle lengths:
Tue Mar  4 04:19:24 2014  1 relations: 83105
Tue Mar  4 04:19:24 2014  2 relations: 80692
Tue Mar  4 04:19:24 2014  3 relations: 78902
Tue Mar  4 04:19:24 2014  4 relations: 69702
Tue Mar  4 04:19:24 2014  5 relations: 62813
Tue Mar  4 04:19:24 2014  6 relations: 52549
Tue Mar  4 04:19:24 2014  7 relations: 46438
Tue Mar  4 04:19:24 2014  8 relations: 39599
Tue Mar  4 04:19:24 2014  9 relations: 33605
Tue Mar  4 04:19:24 2014  10+ relations: 130738
Tue Mar  4 04:19:24 2014  heaviest cycle: 23 relations
Tue Mar  4 04:19:25 2014  RelProcTime: 164
Tue Mar  4 04:19:25 2014  
Tue Mar  4 04:19:25 2014  commencing linear algebra
Tue Mar  4 04:19:25 2014  read 678143 cycles
Tue Mar  4 04:19:26 2014  cycles contain 2376488 unique relations
Tue Mar  4 04:19:46 2014  read 2376488 relations
Tue Mar  4 04:19:48 2014  using 20 quadratic characters above 134216042
Tue Mar  4 04:19:58 2014  building initial matrix
Tue Mar  4 04:20:15 2014  memory use: 306.1 MB
Tue Mar  4 04:20:15 2014  read 678143 cycles
Tue Mar  4 04:20:16 2014  matrix is 677963 x 678143 (205.8 MB) with weight 65078455 (95.97/col)
Tue Mar  4 04:20:16 2014  sparse part has weight 45811356 (67.55/col)
Tue Mar  4 04:20:19 2014  filtering completed in 2 passes
Tue Mar  4 04:20:20 2014  matrix is 676166 x 676346 (205.6 MB) with weight 64998323 (96.10/col)
Tue Mar  4 04:20:20 2014  sparse part has weight 45785544 (67.70/col)
Tue Mar  4 04:20:21 2014  matrix starts at (0, 0)
Tue Mar  4 04:20:21 2014  matrix is 676166 x 676346 (205.6 MB) with weight 64998323 (96.10/col)
Tue Mar  4 04:20:21 2014  sparse part has weight 45785544 (67.70/col)
Tue Mar  4 04:20:21 2014  saving the first 48 matrix rows for later
Tue Mar  4 04:20:21 2014  matrix includes 64 packed rows
Tue Mar  4 04:20:21 2014  matrix is 676118 x 676346 (197.3 MB) with weight 51794254 (76.58/col)
Tue Mar  4 04:20:21 2014  sparse part has weight 44945672 (66.45/col)
Tue Mar  4 04:20:21 2014  using block size 65536 for processor cache size 8192 kB
Tue Mar  4 04:20:23 2014  commencing Lanczos iteration (8 threads)
Tue Mar  4 04:20:23 2014  memory use: 188.3 MB
Tue Mar  4 04:20:27 2014  linear algebra at 0.4%, ETA 0h14m
Tue Mar  4 04:36:05 2014  lanczos halted after 10693 iterations (dim = 676118)
Tue Mar  4 04:36:06 2014  recovered 30 nontrivial dependencies
Tue Mar  4 04:36:06 2014  BLanczosTime: 1001
Tue Mar  4 04:36:06 2014  
Tue Mar  4 04:36:06 2014  commencing square root phase
Tue Mar  4 04:36:06 2014  reading relations for dependency 1
Tue Mar  4 04:36:06 2014  read 337222 cycles
Tue Mar  4 04:36:06 2014  cycles contain 1185446 unique relations
Tue Mar  4 04:36:17 2014  read 1185446 relations
Tue Mar  4 04:36:20 2014  multiplying 1185446 relations
Tue Mar  4 04:37:24 2014  multiply complete, coefficients have about 53.19 million bits
Tue Mar  4 04:37:24 2014  initial square root is modulo 43261171
Tue Mar  4 04:38:46 2014  GCD is N, no factor found
Tue Mar  4 04:38:46 2014  reading relations for dependency 2
Tue Mar  4 04:38:46 2014  read 338601 cycles
Tue Mar  4 04:38:47 2014  cycles contain 1189538 unique relations
Tue Mar  4 04:38:57 2014  read 1189538 relations
Tue Mar  4 04:39:01 2014  multiplying 1189538 relations
Tue Mar  4 04:39:45 2014  multiply complete, coefficients have about 53.37 million bits
Tue Mar  4 04:39:45 2014  initial square root is modulo 45967703
Tue Mar  4 04:40:57 2014  GCD is N, no factor found
Tue Mar  4 04:40:57 2014  reading relations for dependency 3
Tue Mar  4 04:40:57 2014  read 337887 cycles
Tue Mar  4 04:40:57 2014  cycles contain 1185788 unique relations
Tue Mar  4 04:41:12 2014  read 1185788 relations
Tue Mar  4 04:41:16 2014  multiplying 1185788 relations
Tue Mar  4 04:42:22 2014  multiply complete, coefficients have about 53.20 million bits
Tue Mar  4 04:42:22 2014  initial square root is modulo 43498471
Tue Mar  4 04:43:22 2014  GCD is N, no factor found
Tue Mar  4 04:43:22 2014  reading relations for dependency 4
Tue Mar  4 04:43:22 2014  read 338331 cycles
Tue Mar  4 04:43:22 2014  cycles contain 1187786 unique relations
Tue Mar  4 04:43:33 2014  read 1187786 relations
Tue Mar  4 04:43:36 2014  multiplying 1187786 relations
Tue Mar  4 04:44:28 2014  multiply complete, coefficients have about 53.29 million bits
Tue Mar  4 04:44:28 2014  initial square root is modulo 44800489
Tue Mar  4 04:45:31 2014  sqrtTime: 565
--
n: 21767546942174825423727956410758344555795317346990799657891740874939108906749443119017070516271779429648396587176897393
skew: 118826.91
c0: -187118418324070164932136674208
c1: -7901572646989921065779592
c2: 49453652296481612228
c3: 546491108177023
c4: -2704114414
c5: 22440
Y0: -62712965027584960844969
Y1: 41907605159
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 07:57:41 UTC 2014 年 2 月 27 日 (木) 16 時 57 分 41 秒 (日本時間)
403e6604KTakahashiFebruary 27, 2014 15:12:28 UTC 2014 年 2 月 28 日 (金) 0 時 12 分 28 秒 (日本時間)
4511e62000 / 4305Serge BatalovMarch 2, 2014 02:59:47 UTC 2014 年 3 月 2 日 (日) 11 時 59 分 47 秒 (日本時間)

8×10271+19

c265

name 名前KTakahashi
date 日付February 27, 2014 11:33:31 UTC 2014 年 2 月 27 日 (木) 20 時 33 分 31 秒 (日本時間)
composite number 合成数
7389911791241642818035707869027484837055678089530444081045532110136658867538509985017877582231474391784856759030402928474244633238215931190314338211691228424113319124380436723464604955176028160736862884528286688671976503036468568072495773663259640209212097765946529<265>
prime factors 素因数
27392705691792834091521063423163<32>
composite cofactor 合成数の残り
269776628653946527364354505261791349948785313545847846131720880759873832082380074082889614013873366956650613351982396176415167074322816495978259556036759868305443559000481357399270353103289250077597925070425750135326675869238130048083<234>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 7389911791241642818035707869027484837055678089530444081045532110136658867538509985017877582231474391784856759030402928474244633238215931190314338211691228424113319124380436723464604955176028160736862884528286688671976503036468568072495773663259640209212097765946529 (265 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1415184491
Step 1 took 7894ms
Step 2 took 3915ms
********** Factor found in step 2: 27392705691792834091521063423163
Found probable prime factor of 32 digits: 27392705691792834091521063423163
Composite cofactor 269776628653946527364354505261791349948785313545847846131720880759873832082380074082889614013873366956650613351982396176415167074322816495978259556036759868305443559000481357399270353103289250077597925070425750135326675869238130048083 has 234 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:31:30 UTC 2014 年 2 月 27 日 (木) 20 時 31 分 30 秒 (日本時間)
403e60--
4511e6940640Erik BrangerApril 30, 2014 14:35:41 UTC 2014 年 4 月 30 日 (水) 23 時 35 分 41 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:55 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 55 秒 (日本時間)
5043e67500Erik BrangerAugust 4, 2018 19:35:57 UTC 2018 年 8 月 5 日 (日) 4 時 35 分 57 秒 (日本時間)

8×10274+19

c249

composite cofactor 合成数の残り
890381413566083990911228594512392536070371022069691071048115467395032159961441627208278767112477000543595837699326659059625134392444348085156769982176960644892029667040873900697179647770115844942070344755070860949966092349271704026509312194221885659<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:34:29 UTC 2014 年 2 月 27 日 (木) 20 時 34 分 29 秒 (日本時間)
403e60--
4511e6940640Erik BrangerApril 30, 2014 21:10:46 UTC 2014 年 5 月 1 日 (木) 6 時 10 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:56 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 56 秒 (日本時間)
5043e67500Erik BrangerAugust 4, 2018 19:36:30 UTC 2018 年 8 月 5 日 (日) 4 時 36 分 30 秒 (日本時間)

8×10275+19

c275

composite cofactor 合成数の残り
88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:34:42 UTC 2014 年 2 月 27 日 (木) 20 時 34 分 42 秒 (日本時間)
403e60--
4511e645001000Serge BatalovMarch 2, 2014 03:23:09 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 9 秒 (日本時間)
3500Serge BatalovMarch 19, 2014 18:58:47 UTC 2014 年 3 月 20 日 (木) 3 時 58 分 47 秒 (日本時間)
5043e66538Serge BatalovOctober 26, 2014 19:47:39 UTC 2014 年 10 月 27 日 (月) 4 時 47 分 39 秒 (日本時間)

8×10276+19

c178

name 名前KTakahashi
date 日付February 27, 2014 08:01:54 UTC 2014 年 2 月 27 日 (木) 17 時 1 分 54 秒 (日本時間)
composite number 合成数
3244711343583863174416294680790570674152864678583355782679941754186671326072156053094185128449604725208235434308263638961617741692261355333774127369359201145577786965718732359417<178>
prime factors 素因数
417016061857435449589819016731<30>
composite cofactor 合成数の残り
7780782661299810932375630471672637648088465679100453962818863386472253786160778508354349563007359664435147215945631038615001907762940173337799133307<148>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 3244711343583863174416294680790570674152864678583355782679941754186671326072156053094185128449604725208235434308263638961617741692261355333774127369359201145577786965718732359417 (178 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=986073024
Step 1 took 5585ms
Step 2 took 3073ms
********** Factor found in step 2: 417016061857435449589819016731
Found probable prime factor of 30 digits: 417016061857435449589819016731
Composite cofactor 7780782661299810932375630471672637648088465679100453962818863386472253786160778508354349563007359664435147215945631038615001907762940173337799133307 has 148 digits

c148

name 名前Jo Yeong Uk
date 日付August 7, 2014 11:15:22 UTC 2014 年 8 月 7 日 (木) 20 時 15 分 22 秒 (日本時間)
composite number 合成数
7780782661299810932375630471672637648088465679100453962818863386472253786160778508354349563007359664435147215945631038615001907762940173337799133307<148>
prime factors 素因数
200243232675509811674332019561665073769682994639725895859379<60>
38856657262961864810383182927523999540233119218550959729547063342357984200528008945662233<89>
factorization results 素因数分解の結果
Number: 88889_276
N=7780782661299810932375630471672637648088465679100453962818863386472253786160778508354349563007359664435147215945631038615001907762940173337799133307
  ( 148 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=200243232675509811674332019561665073769682994639725895859379
 r2=38856657262961864810383182927523999540233119218550959729547063342357984200528008945662233
Version: 
Total time: 89.52 hours.
Scaled time: 470.60 units (timescale=5.257).
Factorization parameters were as follows:
n: 7780782661299810932375630471672637648088465679100453962818863386472253786160778508354349563007359664435147215945631038615001907762940173337799133307
m: 10000000000000000000000000000000
deg: 6
c6: 1
c3: -5
c0: 25
skew: 1.71
# Murphy_E = 3.419e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3500000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20433719
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1526824 x 1527072
Total sieving time: 83.83 hours.
Total relation processing time: 2.44 hours.
Matrix solve time: 2.82 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,186,6,0,0,0,0,0,0,0,0,7000000,7000000,28,28,54,54,2.5,2.5,100000
total time: 89.52 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 08:00:56 UTC 2014 年 2 月 27 日 (木) 17 時 0 分 56 秒 (日本時間)
403e60--
4511e61300 / 44391000Serge BatalovMarch 2, 2014 03:22:58 UTC 2014 年 3 月 2 日 (日) 12 時 22 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:56 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 56 秒 (日本時間)

8×10277+19

c275

composite cofactor 合成数の残り
28766630708378281193815174397698669543329737504494786048184106436533620999640417116145271485077310320028766630708378281193815174397698669543329737504494786048184106436533620999640417116145271485077310320028766630708378281193815174397698669543329737504494786048184106436533621<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:34:57 UTC 2014 年 2 月 27 日 (木) 20 時 34 分 57 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:10 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 10 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:07:02 UTC 2014 年 5 月 19 日 (月) 5 時 7 分 2 秒 (日本時間)
5043e676001000Serge BatalovMay 18, 2014 20:16:15 UTC 2014 年 5 月 19 日 (月) 5 時 16 分 15 秒 (日本時間)
1100Serge BatalovJanuary 6, 2015 01:39:46 UTC 2015 年 1 月 6 日 (火) 10 時 39 分 46 秒 (日本時間)
5500Erik BrangerAugust 4, 2018 19:38:14 UTC 2018 年 8 月 5 日 (日) 4 時 38 分 14 秒 (日本時間)

8×10278+19

c193

name 名前KTakahashi
date 日付February 27, 2014 11:36:27 UTC 2014 年 2 月 27 日 (木) 20 時 36 分 27 秒 (日本時間)
composite number 合成数
5543375558890279778863586477001092156873232879935208416529320250226788497731029618345029704580152983835368939056291255602734764447027645521202071301666818559541626916245568198046478001774593473<193>
prime factors 素因数
1242965077772172125082917088713<31>
4459799923603603059565253593148553228540481944193877965340862416571628200033986979133818133732643373522210266703542895146933076795263080485660725776369719617598521<163>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 5543375558890279778863586477001092156873232879935208416529320250226788497731029618345029704580152983835368939056291255602734764447027645521202071301666818559541626916245568198046478001774593473 (193 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1241003352
Step 1 took 6614ms
Step 2 took 3136ms
********** Factor found in step 2: 1242965077772172125082917088713
Found probable prime factor of 31 digits: 1242965077772172125082917088713
Probable prime cofactor 4459799923603603059565253593148553228540481944193877965340862416571628200033986979133818133732643373522210266703542895146933076795263080485660725776369719617598521 has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)

8×10279+19

c152

name 名前Jo Yeong Uk
date 日付March 27, 2014 12:16:04 UTC 2014 年 3 月 27 日 (木) 21 時 16 分 4 秒 (日本時間)
composite number 合成数
33302804791589022537575229707001548179065804610401451686297363320765304952769787683901985163145326338026615477700057292896486579809331495268325624397909<152>
prime factors 素因数
27522376501253079715320781561889858848363<41>
1210026495716049915994454874495214308058744849417650944708589143869151223095409040546792336465602698210964014143<112>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.3, --enable-asm-redc] [ECM]
Input number is 33302804791589022537575229707001548179065804610401451686297363320765304952769787683901985163145326338026615477700057292896486579809331495268325624397909 (152 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=8572188082
Step 1 took 24523ms
********** Factor found in step 1: 27522376501253079715320781561889858848363
Found probable prime factor of 41 digits: 27522376501253079715320781561889858848363
Probable prime cofactor 1210026495716049915994454874495214308058744849417650944708589143869151223095409040546792336465602698210964014143 has 112 digits
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:37:24 UTC 2014 年 2 月 27 日 (木) 20 時 37 分 24 秒 (日本時間)
403e60--
4511e61000 / 4439Serge BatalovMarch 2, 2014 03:22:59 UTC 2014 年 3 月 2 日 (日) 12 時 22 分 59 秒 (日本時間)

8×10280+19

c240

composite cofactor 合成数の残り
368653540681793631920314841857132725195640152033316087767448059222177009114067013140680140948679206221054623469112843713948216700258022069551819209332377670814139853796411892353004880231224924674659927427605075078469553914303480535674419299<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:37:39 UTC 2014 年 2 月 27 日 (木) 20 時 37 分 39 秒 (日本時間)
403e60--
4511e6940640Erik BrangerMay 1, 2014 07:51:37 UTC 2014 年 5 月 1 日 (木) 16 時 51 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:57 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 57 秒 (日本時間)
5043e67500Erik BrangerSeptember 25, 2018 18:56:26 UTC 2018 年 9 月 26 日 (水) 3 時 56 分 26 秒 (日本時間)

8×10283+19

c223

composite cofactor 合成数の残り
5302716655547926704502148000403580064208167946303529477667697130011395066390929172678469909797671209583867086999974663815679310276531771963163106752610012372404384318207349326127970971651921463428208690406637850649676066201<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:37:58 UTC 2014 年 2 月 27 日 (木) 20 時 37 分 58 秒 (日本時間)
403e60--
4511e6910610CypMarch 7, 2014 18:11:15 UTC 2014 年 3 月 8 日 (土) 3 時 11 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:57 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 57 秒 (日本時間)
5043e67500Erik BrangerSeptember 20, 2018 15:18:21 UTC 2018 年 9 月 21 日 (金) 0 時 18 分 21 秒 (日本時間)

8×10285+19

c185

name 名前Jo Yeong Uk
date 日付October 5, 2016 14:33:56 UTC 2016 年 10 月 5 日 (水) 23 時 33 分 56 秒 (日本時間)
composite number 合成数
18460036098600590813455335711908984638019459647053339812806003942140708856156168213386941278163577148875114625286649748043582299225186134851486702082245921831900142280728229964053694707<185>
prime factors 素因数
51456919045603971459141251846028482362874812847611125206040871242769<68>
358747403478243313871794317215977722022879113607703235258524208311112142854853562406949164424083178284350538931345603<117>
factorization results 素因数分解の結果
Number: 88889_285
N=18460036098600590813455335711908984638019459647053339812806003942140708856156168213386941278163577148875114625286649748043582299225186134851486702082245921831900142280728229964053694707
  ( 185 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=51456919045603971459141251846028482362874812847611125206040871242769
 r2=358747403478243313871794317215977722022879113607703235258524208311112142854853562406949164424083178284350538931345603
Version: 
Total time: 132.42 hours.
Scaled time: 685.00 units (timescale=5.173).
Factorization parameters were as follows:
n: 18460036098600590813455335711908984638019459647053339812806003942140708856156168213386941278163577148875114625286649748043582299225186134851486702082245921831900142280728229964053694707
m: 100000000000000000000000000000000
deg: 6
c6: 1
c3: -5
c0: 25
skew: 1.71
# Murphy_E = 2.192e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5000000, 10900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22511550
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1952410 x 1952656
Total sieving time: 122.70 hours.
Total relation processing time: 3.78 hours.
Matrix solve time: 5.81 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,10000000,10000000,28,28,55,55,2.5,2.5,100000
total time: 132.42 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.. 6799.87 BogoMIPS (lpj=3399935)
Total of 12 processors activated (81598.44 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
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:38:22 UTC 2014 年 2 月 27 日 (木) 20 時 38 分 22 秒 (日本時間)
403e62104KTakahashiApril 20, 2014 21:32:11 UTC 2014 年 4 月 21 日 (月) 6 時 32 分 11 秒 (日本時間)
4511e63974300Serge BatalovMay 27, 2014 00:36:57 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 57 秒 (日本時間)
3674KTakahashiOctober 11, 2014 18:48:08 UTC 2014 年 10 月 12 日 (日) 3 時 48 分 8 秒 (日本時間)

8×10286+19

c253

composite cofactor 合成数の残り
6240345075817657490173291134868528987301993310010380086599377213984321888217431768953009605022468703238923726884181018681616802915189169814266255188178751460294203722854176147499421001039948819377179788904172934937821561627735658815143662682275717714531<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:38:39 UTC 2014 年 2 月 27 日 (木) 20 時 38 分 39 秒 (日本時間)
403e60--
4511e62122640Erik BrangerMay 1, 2014 11:24:40 UTC 2014 年 5 月 1 日 (木) 20 時 24 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:58 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 58 秒 (日本時間)
1182Alfred ReichFebruary 26, 2015 13:14:51 UTC 2015 年 2 月 26 日 (木) 22 時 14 分 51 秒 (日本時間)
5043e67200Erik BrangerOctober 31, 2018 19:06:45 UTC 2018 年 11 月 1 日 (木) 4 時 6 分 45 秒 (日本時間)

8×10287+19

c260

name 名前Serge Batalov
date 日付February 28, 2014 04:32:42 UTC 2014 年 2 月 28 日 (金) 13 時 32 分 42 秒 (日本時間)
composite number 合成数
64428951211446292785642181025655158666649317958997942402706191823017447635675530346789577481914397062939685145821992277621868343981713312317677732278265879127839546501558209278944192220257912577509665066659485179804892413076812959327528559382456607763319154201<260>
prime factors 素因数
386505815630943087835040971111050601<36>
composite cofactor 合成数の残り
166695942482186561944375940196286514304022401574881075485301905742203731668517825972801616391428719334980587375617027570383534746726429322529649175370757183604149544319387704245316728215065988375211604546733371303398261943601<225>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1956567376
Step 1 took 27466ms
********** Factor found in step 1: 386505815630943087835040971111050601
Found probable prime factor of 36 digits: 386505815630943087835040971111050601
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:38:54 UTC 2014 年 2 月 27 日 (木) 20 時 38 分 54 秒 (日本時間)
403e60--
4511e6940 / 4439640Erik BrangerMay 1, 2014 16:33:24 UTC 2014 年 5 月 2 日 (金) 1 時 33 分 24 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:58 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 58 秒 (日本時間)

8×10288+19

c154

name 名前Jo Yeong Uk
date 日付March 17, 2017 10:18:45 UTC 2017 年 3 月 17 日 (金) 19 時 18 分 45 秒 (日本時間)
composite number 合成数
3671505867021397077738063472287489054028524084128396725672465677332541229428948930513028194396057549425061947053131904775155784206751607051788119048095763<154>
prime factors 素因数
868084345667372929568424912386623787314028994088862075499907<60>
4229434484501372957484518593446118582329268733744122106120989082476878619840706425093564853809<94>
factorization results 素因数分解の結果
Number: 88889_288
N=3671505867021397077738063472287489054028524084128396725672465677332541229428948930513028194396057549425061947053131904775155784206751607051788119048095763
  ( 154 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=868084345667372929568424912386623787314028994088862075499907
 r2=4229434484501372957484518593446118582329268733744122106120989082476878619840706425093564853809
Version: 
Total time: 138.79 hours.
Scaled time: 713.24 units (timescale=5.139).
Factorization parameters were as follows:
n: 3671505867021397077738063472287489054028524084128396725672465677332541229428948930513028194396057549425061947053131904775155784206751607051788119048095763
m: 100000000000000000000000000000000
deg: 6
c6: 4
c3: -2
c0: 1
skew: 0.79
# Murphy_E = 2.332e-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, 11900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22558961
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2146439 x 2146687
Total sieving time: 127.63 hours.
Total relation processing time: 3.83 hours.
Matrix solve time: 7.14 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 138.79 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
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:39:18 UTC 2014 年 2 月 27 日 (木) 20 時 39 分 18 秒 (日本時間)
403e62104KTakahashiApril 13, 2014 13:22:17 UTC 2014 年 4 月 13 日 (日) 22 時 22 分 17 秒 (日本時間)
4511e63974300Serge BatalovMay 27, 2014 00:36:59 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 59 秒 (日本時間)
3674KTakahashiOctober 4, 2014 05:56:52 UTC 2014 年 10 月 4 日 (土) 14 時 56 分 52 秒 (日本時間)
5043e61537 / 657797KTakahashiOctober 18, 2014 11:48:35 UTC 2014 年 10 月 18 日 (土) 20 時 48 分 35 秒 (日本時間)
720KTakahashiOctober 21, 2014 09:39:57 UTC 2014 年 10 月 21 日 (火) 18 時 39 分 57 秒 (日本時間)
720KTakahashiOctober 23, 2014 11:54:54 UTC 2014 年 10 月 23 日 (木) 20 時 54 分 54 秒 (日本時間)

8×10289+19

c223

name 名前KTakahashi
date 日付February 27, 2014 11:41:30 UTC 2014 年 2 月 27 日 (木) 20 時 41 分 30 秒 (日本時間)
composite number 合成数
1076848404796288938269478278970955062672668686189797268438017351285342981545464916303247792856462775165931365775400200007803519760046702873711644883147405928392000892785117468787811845175476216397709745133406841248048079841<223>
prime factors 素因数
3613175405556226775757289504946647<34>
composite cofactor 合成数の残り
298033802383450730176506970684737953765348979174458473141171778195076743570594290104123971624589903135338565022301770632430466794127502518480022821254977057600124552632614455683951753021703<189>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 1076848404796288938269478278970955062672668686189797268438017351285342981545464916303247792856462775165931365775400200007803519760046702873711644883147405928392000892785117468787811845175476216397709745133406841248048079841 (223 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=956356568
Step 1 took 6193ms
Step 2 took 3292ms
********** Factor found in step 2: 3613175405556226775757289504946647
Found probable prime factor of 34 digits: 3613175405556226775757289504946647
Composite cofactor 298033802383450730176506970684737953765348979174458473141171778195076743570594290104123971624589903135338565022301770632430466794127502518480022821254977057600124552632614455683951753021703 has 189 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:40:59 UTC 2014 年 2 月 27 日 (木) 20 時 40 分 59 秒 (日本時間)
403e60--
4511e60--
5043e620471300Erik BrangerMarch 1, 2014 22:47:55 UTC 2014 年 3 月 2 日 (日) 7 時 47 分 55 秒 (日本時間)
606Alfred ReichSeptember 9, 2014 08:17:37 UTC 2014 年 9 月 9 日 (火) 17 時 17 分 37 秒 (日本時間)
141Alfred ReichSeptember 10, 2014 07:11:39 UTC 2014 年 9 月 10 日 (水) 16 時 11 分 39 秒 (日本時間)
5511e73159 / 16875900Serge BatalovJune 5, 2014 02:12:19 UTC 2014 年 6 月 5 日 (木) 11 時 12 分 19 秒 (日本時間)
920Serge BatalovJune 5, 2014 15:28:35 UTC 2014 年 6 月 6 日 (金) 0 時 28 分 35 秒 (日本時間)
1339Alfred ReichSeptember 10, 2014 07:11:39 UTC 2014 年 9 月 10 日 (水) 16 時 11 分 39 秒 (日本時間)
6026e770 / 40584Alfred ReichSeptember 10, 2014 07:11:39 UTC 2014 年 9 月 10 日 (水) 16 時 11 分 39 秒 (日本時間)

8×10290+19

c268

name 名前Serge Batalov
date 日付February 28, 2014 04:40:02 UTC 2014 年 2 月 28 日 (金) 13 時 40 分 2 秒 (日本時間)
composite number 合成数
1047589236786960338628650582062034594179358068928928267569651190179037721597635308778995774187656033770036328230665899314411317091872891143729243015148397363332670188664095892914988823941186636577293479762265958722304586412025480505341794553992521016477066401856435681<268>
prime factors 素因数
1140441848358184595712409358749027<34>
composite cofactor 合成数の残り
918581897266486886341894417412477826197444051857783879461812897950026825110515255453260586680289159453728917670201117434577329797713918558121936138677814910240206946043149291762797025452857840526653491246016877343031909273251898221803<234>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=179450178
Step 1 took 27109ms
Step 2 took 18706ms
********** Factor found in step 2: 1140441848358184595712409358749027
Found probable prime factor of 34 digits: 1140441848358184595712409358749027
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:44:09 UTC 2014 年 2 月 27 日 (木) 20 時 44 分 9 秒 (日本時間)
403e60--
4511e6940 / 4439640Erik BrangerMay 4, 2014 18:35:51 UTC 2014 年 5 月 5 日 (月) 3 時 35 分 51 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:36:59 UTC 2014 年 5 月 27 日 (火) 9 時 36 分 59 秒 (日本時間)

8×10292+19

c289

composite cofactor 合成数の残り
2067664314698508697113023700602207231655940658034168152800392856219792716652451474503114419374014628725026491949032074642681760616163965780155591739681062779457755033470316094182109534517071153498229562430539401928096973456359360057894600811558243519164663616861802486366338424956708278411<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:44:21 UTC 2014 年 2 月 27 日 (木) 20 時 44 分 21 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:14 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 14 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:06:41 UTC 2014 年 5 月 19 日 (月) 5 時 6 分 41 秒 (日本時間)
5043e62100 / 68751000Serge BatalovMay 18, 2014 20:15:51 UTC 2014 年 5 月 19 日 (月) 5 時 15 分 51 秒 (日本時間)
1100Serge BatalovJanuary 6, 2015 01:40:11 UTC 2015 年 1 月 6 日 (火) 10 時 40 分 11 秒 (日本時間)

8×10293+19

c280

composite cofactor 合成数の残り
4687757198663470483099964971369079336671492089209712588998508330992283850698630992973913305530477223319234469365331276383466206753621525790758576693882823221898495458924043882660764777206751705009629344872368509801161681005512428872421677935028708870136786949535496851475272106009<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:44:34 UTC 2014 年 2 月 27 日 (木) 20 時 44 分 34 秒 (日本時間)
403e60--
4511e6940 / 4439640Erik BrangerMay 5, 2014 07:07:29 UTC 2014 年 5 月 5 日 (月) 16 時 7 分 29 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:00 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 0 秒 (日本時間)

8×10294+19

c183

name 名前Jo Yeong Uk
date 日付March 31, 2017 10:25:03 UTC 2017 年 3 月 31 日 (金) 19 時 25 分 3 秒 (日本時間)
composite number 合成数
102185647048606350049141857621511787224210803729400223883867344566087307684707901952192778719274841242243394235776158044251123851065652367619315149523965682366420750759968754519309379<183>
prime factors 素因数
105116736179846982608662604721118808351839638291983924117053887010083186358618695702101449<90>
972115866247732851583984349369509160415103625646387172452930867450225861659823774548171718571<93>
factorization results 素因数分解の結果
Number: 88889_294
N=102185647048606350049141857621511787224210803729400223883867344566087307684707901952192778719274841242243394235776158044251123851065652367619315149523965682366420750759968754519309379
  ( 183 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=105116736179846982608662604721118808351839638291983924117053887010083186358618695702101449
 r2=972115866247732851583984349369509160415103625646387172452930867450225861659823774548171718571
Version: 
Total time: 197.60 hours.
Scaled time: 1033.66 units (timescale=5.231).
Factorization parameters were as follows:
n: 102185647048606350049141857621511787224210803729400223883867344566087307684707901952192778719274841242243394235776158044251123851065652367619315149523965682366420750759968754519309379
m: 1000000000000000000000000000000000
deg: 6
c6: 1
c3: -5
c0: 25
skew: 1.71
# Murphy_E = 1.398e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 15700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33956279
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2799546 x 2799794
Total sieving time: 176.26 hours.
Total relation processing time: 7.12 hours.
Matrix solve time: 13.99 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 197.60 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
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:44:47 UTC 2014 年 2 月 27 日 (木) 20 時 44 分 47 秒 (日本時間)
403e62104KTakahashiApril 20, 2014 00:04:53 UTC 2014 年 4 月 20 日 (日) 9 時 4 分 53 秒 (日本時間)
4511e63974300Serge BatalovMay 27, 2014 00:37:00 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 0 秒 (日本時間)
3674KTakahashiOctober 9, 2014 23:23:54 UTC 2014 年 10 月 10 日 (金) 8 時 23 分 54 秒 (日本時間)

8×10295+19

c280

composite cofactor 合成数の残り
1664580017457766361296309192823755414209690112680668632497305805123307703899315247223822388978749326258824944496783024946617006784176488088211613194531101626946668705148740331207341264198802824295171258924857973545389172337002221333092738702951077359579774080313556440474843490467<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:45:05 UTC 2014 年 2 月 27 日 (木) 20 時 45 分 5 秒 (日本時間)
403e60--
4511e6940 / 4439640Erik BrangerMay 5, 2014 07:36:28 UTC 2014 年 5 月 5 日 (月) 16 時 36 分 28 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:01 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 1 秒 (日本時間)

8×10296+19

c246

composite cofactor 合成数の残り
180213595931131824641453011659004250466936973135575714463558729658974539111145064001947139163311810591166580451955764366928629806674330936800857638994213665903793352530077971574098462200711133035946131758110765589564946310869059803906421359772931<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:45:20 UTC 2014 年 2 月 27 日 (木) 20 時 45 分 20 秒 (日本時間)
403e60--
4511e61955 / 4439640Erik BrangerMay 5, 2014 15:32:48 UTC 2014 年 5 月 6 日 (火) 0 時 32 分 48 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:01 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 1 秒 (日本時間)
1015Alfred ReichSeptember 7, 2014 06:02:11 UTC 2014 年 9 月 7 日 (日) 15 時 2 分 11 秒 (日本時間)

8×10298+19

c278

composite cofactor 合成数の残り
84182924383915033016318888773142333335118329234999617180196830726442663685608669343725231888426135809315571788426761701635246307686399770483840644566454290644463976486420050962204915535357071981327175977447180323641172831844978499731047403454062467563962911841279173039979945323<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:45:34 UTC 2014 年 2 月 27 日 (木) 20 時 45 分 34 秒 (日本時間)
403e60--
4511e6910610CypMarch 7, 2014 16:54:11 UTC 2014 年 3 月 8 日 (土) 1 時 54 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:02 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 2 秒 (日本時間)
5043e67500Erik BrangerJuly 1, 2018 20:09:00 UTC 2018 年 7 月 2 日 (月) 5 時 9 分 0 秒 (日本時間)

8×10299+19

c278

name 名前Alfred Reich
date 日付September 5, 2014 17:20:42 UTC 2014 年 9 月 6 日 (土) 2 時 20 分 42 秒 (日本時間)
composite number 合成数
79413816322000384411999023039034350235024988457057577148326281796707111391418169030845345091656802841042443311344592490495182308739479584524610498225327589395176824950299994857343556665072312572244470750581633854719248711650791110554386166677029628248190766356928888391245578401<278>
prime factors 素因数
6783164816316021749060454772798479848263<40>
composite cofactor 合成数の残り
11707487356194083045348696336826886280072455073283365054660533120795278275894772387599297334788171211941272347538286057812758407633642961655023733244870093513230594241885009252401605146894387108985442558583923586478456296277343681699623127<239>
factorization results 素因数分解の結果
6783164816316021749060454772798479848263

c239

name 名前Alfred Reich
date 日付September 7, 2014 22:48:28 UTC 2014 年 9 月 8 日 (月) 7 時 48 分 28 秒 (日本時間)
composite number 合成数
11707487356194083045348696336826886280072455073283365054660533120795278275894772387599297334788171211941272347538286057812758407633642961655023733244870093513230594241885009252401605146894387108985442558583923586478456296277343681699623127<239>
prime factors 素因数
2055750811383799600191648912419070954155830769<46>
5694993425936363084514065291165855671233246686106312350315556686233318103560636866341313935738039313922337232005734981029495867603045580423494941114221134682799308555191143267861601548102099783<193>
factorization results 素因数分解の結果
Input number is 11707487356194083045348696336826886280072455073283365054660533120795278275894772387599297334788171211941272347538286057812758407633642961655023733244870093513230594241885009252401605146894387108985442558583923586478456296277343681699623127 (239 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1997151314
Step 1 took 77876ms
Step 2 took 35521ms
********** Factor found in step 2: 2055750811383799600191648912419070954155830769
Found probable prime factor of 46 digits: 2055750811383799600191648912419070954155830769
Probable prime cofactor ((10^299*8+1)/68332339438892822278602924948089229351087924977062168282809063)/2055750811383799600191648912419070954155830769 has 193 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:45:47 UTC 2014 年 2 月 27 日 (木) 20 時 45 分 47 秒 (日本時間)
403e60--
4511e6940 / 4439640Erik BrangerMay 6, 2014 05:28:49 UTC 2014 年 5 月 6 日 (火) 14 時 28 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:02 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 2 秒 (日本時間)

8×10300+19

c201

name 名前Jo Yeong Uk
date 日付March 23, 2014 13:49:22 UTC 2014 年 3 月 23 日 (日) 22 時 49 分 22 秒 (日本時間)
composite number 合成数
133333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333326666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<201>
prime factors 素因数
88587773836807707417170670888544246189627752244091197482405897275371<68>
1505098588197439327287456236229891494067961481307367103556928919689694787445608870936709486834185245197541187034582155281524047706177<133>
factorization results 素因数分解の結果
Number: 88889_300
N=133333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333326666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
  ( 201 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=88587773836807707417170670888544246189627752244091197482405897275371
 r2=1505098588197439327287456236229891494067961481307367103556928919689694787445608870936709486834185245197541187034582155281524047706177
Version: 
Total time: 251.45 hours.
Scaled time: 1320.88 units (timescale=5.253).
Factorization parameters were as follows:
n: 133333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333326666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 2000000000000000000000000000000000
deg: 6
c6: 25
c3: -10
c0: 4
skew: 0.74
# Murphy_E = 1.17e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6


Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 19200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38267625
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3255763 x 3256009
Total sieving time: 226.17 hours.
Total relation processing time: 5.28 hours.
Matrix solve time: 19.74 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 251.45 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:46:08 UTC 2014 年 2 月 27 日 (木) 20 時 46 分 8 秒 (日本時間)
403e60--
4511e64444Serge BatalovFebruary 28, 2014 16:17:22 UTC 2014 年 3 月 1 日 (土) 1 時 17 分 22 秒 (日本時間)
5043e6800 / 6551Serge BatalovFebruary 28, 2014 16:31:48 UTC 2014 年 3 月 1 日 (土) 1 時 31 分 48 秒 (日本時間)