Table of contents 目次

89×10152+19

c153

name 名前suberi
date 日付January 14, 2007 11:28:07 UTC 2007 年 1 月 14 日 (日) 20 時 28 分 7 秒 (日本時間)
composite number 合成数
988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<153>
prime factors 素因数
10190419905946011268576405253557768498330481<44>
97041034424094909444203541070911753967506741360316917336324363078053621728588507016698294822884773453384829769<110>
factorization results 素因数分解の結果
Number: 98889_152
N=988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 153 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=10190419905946011268576405253557768498330481 (pp44)
 r2=97041034424094909444203541070911753967506741360316917336324363078053621728588507016698294822884773453384829769 (pp110)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 43.91 hours.
Scaled time: 25.77 units (timescale=0.587).
Factorization parameters were as follows:
n: 988888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 1000000000000000000000000000000
c5: 8900
c0: 1
skew: 1
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:176708, largePrimes:5432566 encountered
Relations: rels:5283059, finalFF:427140
Max relations in full relation-set: 28
Initial matrix: 353077 x 427140 with sparse part having weight 38289802.
Pruned matrix : 323868 x 325697 with weight 25340331.
Total sieving time: 38.58 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 4.83 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 43.91 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.21GHz, Windows XP and Cygwin

89×10156+19

c147

name 名前Robert Backstrom
date 日付April 11, 2007 07:42:42 UTC 2007 年 4 月 11 日 (水) 16 時 42 分 42 秒 (日本時間)
composite number 合成数
731841879584066931047543751234400010997014602921761226349534798267800406145405129532579566785063134021457398220721966959322822974289311948478815581<147>
prime factors 素因数
35190907398243504644236934773128038169516636457174728867557<59>
20796334442362108455107590366458381110422317923673323714312825264926001029408728804836633<89>
factorization results 素因数分解の結果
Number: n
N=731841879584066931047543751234400010997014602921761226349534798267800406145405129532579566785063134021457398220721966959322822974289311948478815581
  ( 147 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=35190907398243504644236934773128038169516636457174728867557 (pp59)
 r2=20796334442362108455107590366458381110422317923673323714312825264926001029408728804836633 (pp89)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.30 hours.
Scaled time: 42.22 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_9_8_155_9
n: 731841879584066931047543751234400010997014602921761226349534798267800406145405129532579566785063134021457398220721966959322822974289311948478815581
type: snfs
skew: 0.26
deg: 5
c5: 890
c0: 1
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:216816, AFBsize:217061, largePrimes:6420765 encountered
Relations: rels:5891265, finalFF:498686
Max relations in full relation-set: 28
Initial matrix: 433944 x 498686 with sparse part having weight 28275743.
Pruned matrix : 373550 x 375783 with weight 17348083.
Total sieving time: 32.31 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.69 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 35.30 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

89×10157+19

c130

name 名前Robert Backstrom
date 日付April 23, 2007 06:07:59 UTC 2007 年 4 月 23 日 (月) 15 時 7 分 59 秒 (日本時間)
composite number 合成数
9357831762831592716696047258075955006494138738306098602738469766935052019174596543063795350498288700538403141385637434411425432507<130>
prime factors 素因数
998766999662301920263579973857<30>
671276082185180309721450498078371896813263139<45>
13957571951968016563167181516143946350859587741613040809<56>
factorization results 素因数分解の結果
GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 9357831762831592716696047258075955006494138738306098602738469766935052019174596543063795350498288700538403141385637434411425432507 (130 digits)
Using B1=124000, B2=42887191, polynomial x^2, sigma=2735283990
Step 1 took 2060ms
Step 2 took 1450ms
********** Factor found in step 2: 998766999662301920263579973857
Found probable prime factor of 30 digits: 998766999662301920263579973857
Composite cofactor 9369384216734849844858838821136383764594390595025958560650767203742805702183608663516846355662439451 has 100 digits


Number: n
N=9369384216734849844858838821136383764594390595025958560650767203742805702183608663516846355662439451
  ( 100 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=671276082185180309721450498078371896813263139 (pp45)
 r2=13957571951968016563167181516143946350859587741613040809 (pp56)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 30.98 hours.
Scaled time: 42.35 units (timescale=1.367).
Factorization parameters were as follows:
name: KA_9_8_156_9

n: 9369384216734849844858838821136383764594390595025958560650767203742805702183608663516846355662439451

# n: 9357831762831592716696047258075955006494138738306098602738469766935052019174596543063795350498288700538403141385637434411425432507

skew: 0.16
deg: 5
c5: 8900
c0: 1
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:216816, AFBsize:217461, largePrimes:6928854 encountered
Relations: rels:6418255, finalFF:501673
Max relations in full relation-set: 28
Initial matrix: 434344 x 501673 with sparse part having weight 33339151.
Pruned matrix : 377922 x 380157 with weight 21090312.
Total sieving time: 28.11 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.53 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 30.98 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

89×10158+19

c144

name 名前Robert Backstrom
date 日付July 14, 2007 08:07:37 UTC 2007 年 7 月 14 日 (土) 17 時 7 分 37 秒 (日本時間)
composite number 合成数
261456590056179812443165367795872934768914215004307843412220192729070446047275621879186181977133609132560926795382217178649634421230505048201787<144>
prime factors 素因数
424900550000295550092866554354772812998171689914130662333763053<63>
615335965218209178221823895527708916744280900160476438475349268969266385168270279<81>
factorization results 素因数分解の結果
Number: n
N=261456590056179812443165367795872934768914215004307843412220192729070446047275621879186181977133609132560926795382217178649634421230505048201787
  ( 144 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=424900550000295550092866554354772812998171689914130662333763053 (pp63)
 r2=615335965218209178221823895527708916744280900160476438475349268969266385168270279 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 33.67 hours.
Scaled time: 48.65 units (timescale=1.445).
Factorization parameters were as follows:
name: KA_9_8_157_9
n: 261456590056179812443165367795872934768914215004307843412220192729070446047275621879186181977133609132560926795382217178649634421230505048201787
skew: 0.10
deg: 5
c5: 89000
c0: 1
m: 10000000000000000000000000000000
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, 1300001)
Primes: RFBsize:250150, AFBsize:249496, largePrimes:6906833 encountered
Relations: rels:6429793, finalFF:563547
Max relations in full relation-set: 28
Initial matrix: 499713 x 563547 with sparse part having weight 31998849.
Pruned matrix : 438837 x 441399 with weight 20235550.
Total sieving time: 28.59 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 4.48 hours.
Total square root time: 0.40 hours, sqrts: 6.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 33.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

89×10159+19

c138

name 名前Jo Yeong Uk
date 日付July 15, 2007 15:01:10 UTC 2007 年 7 月 16 日 (月) 0 時 1 分 10 秒 (日本時間)
composite number 合成数
480070228645531417045881919545642127785431791418776155479123176469269339752586987754641251300301563314530672605705684987320238042321205807<138>
prime factors 素因数
748314670082521201732646760076033103<36>
641535236229688185049707266010883443210404427579829424348071950643837839950313319024896633402043943969<102>
factorization results 素因数分解の結果
GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 480070228645531417045881919545642127785431791418776155479123176469269339752586987754641251300301563314530672605705684987320238042321205807 (138 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1203473070
Step 1 took 7135ms
Step 2 took 4021ms
********** Factor found in step 2: 748314670082521201732646760076033103
Found probable prime factor of 36 digits: 748314670082521201732646760076033103
Probable prime cofactor 641535236229688185049707266010883443210404427579829424348071950643837839950313319024896633402043943969 has 102 digits
execution environment 実行環境
Core 2 Quad Q6600

89×10161+19

c119

name 名前Robert Backstrom
date 日付December 30, 2007 12:04:12 UTC 2007 年 12 月 30 日 (日) 21 時 4 分 12 秒 (日本時間)
composite number 合成数
78655886558212839023556857120942142003924560409165078599494695301264178096244478079634342453626033940099746525414904767<119>
prime factors 素因数
24068764486818214538179925119843116225195355366201<50>
3267965275130364758731306727795381662655553549388276194815369559709367<70>
factorization results 素因数分解の結果
Number: n
N=78655886558212839023556857120942142003924560409165078599494695301264178096244478079634342453626033940099746525414904767
  ( 119 digits)
SNFS difficulty: 162 digits.
Divisors found:

Sun Dec 30 22:54:11 2007  prp50 factor: 24068764486818214538179925119843116225195355366201
Sun Dec 30 22:54:11 2007  prp70 factor: 3267965275130364758731306727795381662655553549388276194815369559709367
Sun Dec 30 22:54:11 2007  elapsed time 01:13:42 (Msieve 1.32)

Version: GGNFS-0.77.1-20050930-k8
Total time: 37.56 hours.
Scaled time: 31.47 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_9_8_160_9
n: 78655886558212839023556857120942142003924560409165078599494695301264178096244478079634342453626033940099746525414904767
type: snfs
deg: 5
c5: 890
c0: 1
skew: 0.22
m: 100000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3600001)
Primes: RFBsize:216816, AFBsize:217061, largePrimes:5646354 encountered
Relations: rels:5529662, finalFF:441875
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 37.45 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 37.56 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

89×10163+19

c147

name 名前Robert Backstrom
date 日付October 12, 2007 07:21:19 UTC 2007 年 10 月 12 日 (金) 16 時 21 分 19 秒 (日本時間)
composite number 合成数
692754456618632700742588855519739501284878125239435320459568642724351039203120317771928341708484604722354579869380134021593082789437079791653771527<147>
prime factors 素因数
53555495404586983124284868689499027110767249977749056417262621184569457<71>
12935263718227109600388586097547759844207588321745878007455274683392359947511<77>
factorization results 素因数分解の結果
Number: n
N=692754456618632700742588855519739501284878125239435320459568642724351039203120317771928341708484604722354579869380134021593082789437079791653771527
  ( 147 digits)
SNFS difficulty: 164 digits.
Divisors found:

Fri Oct 12 07:40:24 2007  prp71 factor: 53555495404586983124284868689499027110767249977749056417262621184569457
Fri Oct 12 07:40:24 2007  prp77 factor: 12935263718227109600388586097547759844207588321745878007455274683392359947511
Fri Oct 12 07:40:24 2007  elapsed time 01:36:36 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 40.85 hours.
Scaled time: 58.50 units (timescale=1.432).
Factorization parameters were as follows:
name: KA_9_8_162_9
n: 692754456618632700742588855519739501284878125239435320459568642724351039203120317771928341708484604722354579869380134021593082789437079791653771527
skew: 0.10
deg: 5
c5: 89000
c0: 1
m: 100000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2100001)
Primes: RFBsize:203362, AFBsize:202807, largePrimes:7209972 encountered
Relations: rels:6664266, finalFF:448066
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 40.59 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 40.85 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

89×10164+19

c150

name 名前Robert Backstrom
date 日付October 29, 2007 10:41:22 UTC 2007 年 10 月 29 日 (月) 19 時 41 分 22 秒 (日本時間)
composite number 合成数
376292541901713990156240140280107136920403712406844501532612508891705603189038511185276004611331447762586551055990351376936771061312168024647111016473<150>
prime factors 素因数
270666531521708051044165587427652002648199<42>
1390244075564748945696789150673380726874059327867465501106095914306348058416858266414264460951086291348664927<109>
factorization results 素因数分解の結果
Number: n
N=376292541901713990156240140280107136920403712406844501532612508891705603189038511185276004611331447762586551055990351376936771061312168024647111016473
  ( 150 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Oct 29 21:17:16 2007  prp42 factor: 270666531521708051044165587427652002648199
Mon Oct 29 21:17:16 2007  prp109 factor: 1390244075564748945696789150673380726874059327867465501106095914306348058416858266414264460951086291348664927
Mon Oct 29 21:17:16 2007  elapsed time 02:10:55 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 74.57 hours.
Scaled time: 98.88 units (timescale=1.326).
Factorization parameters were as follows:
name: KA_9_8_163_9
n: 376292541901713990156240140280107136920403712406844501532612508891705603189038511185276004611331447762586551055990351376936771061312168024647111016473
skew: 0.65
deg: 5
c5: 89
c0: 10
m: 1000000000000000000000000000000000
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  special-q in [100000, 3500000)
Primes: RFBsize:250150, AFBsize:249266, largePrimes:7709961 encountered
Relations: rels:7186570, finalFF:561747
Max relations in full relation-set: 28
Initial matrix: 499481 x 561747 with sparse part having weight 51822639.
Pruned matrix : 473183 x 475744 with weight 37331802.
Total sieving time: 74.27 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 74.57 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

89×10166+19

c166

name 名前JMB
date 日付January 27, 2007 07:49:19 UTC 2007 年 1 月 27 日 (土) 16 時 49 分 19 秒 (日本時間)
composite number 合成数
4708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994709<166>
prime factors 素因数
2145267415169671460471822733293<31>
composite cofactor 合成数の残り
2195061872331785564833392556541334193678898931031362398283536977263473924321435784902869096812578999064592069887228245952439930289418313<136>
factorization results 素因数分解の結果
P1: 2145267415169671460471822733293 (P31)

C2: 2195061872331785564833392556541334193678898931031362398283536977263473924321435784902869096812578999064592069887228245952439930289418313 (C136)

B1: 250000
Sigma: 3985830839

c136

name 名前Erik Branger
date 日付November 6, 2008 15:45:32 UTC 2008 年 11 月 7 日 (金) 0 時 45 分 32 秒 (日本時間)
composite number 合成数
2195061872331785564833392556541334193678898931031362398283536977263473924321435784902869096812578999064592069887228245952439930289418313<136>
prime factors 素因数
787295564822051341879920685703659778682875348470397<51>
2788103947756805820487521573803396169483071780461221984528675501647444463826993994429<85>
factorization results 素因数分解の結果
Number: 98889_166
N=2195061872331785564833392556541334193678898931031362398283536977263473924321435784902869096812578999064592069887228245952439930289418313
  ( 136 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=787295564822051341879920685703659778682875348470397
 r2=2788103947756805820487521573803396169483071780461221984528675501647444463826993994429
Version: 
Total time: 57.30 hours.
Scaled time: 127.08 units (timescale=2.218).
Factorization parameters were as follows:
n: 2195061872331785564833392556541334193678898931031362398283536977263473924321435784902869096812578999064592069887228245952439930289418313
m: 2000000000000000000000000000000000
deg: 5
c5: 445
c0: 16
skew: 0.51
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 821410 x 821658
Total sieving time: 57.30 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,169,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.6,2.6,100000
total time: 57.30 hours.
 --------- CPU info (if available) ----------
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
2011e374Jo Yeong UkAugust 5, 2008 11:45:49 UTC 2008 年 8 月 5 日 (火) 20 時 45 分 49 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 11:45:54 UTC 2008 年 8 月 5 日 (火) 20 時 45 分 54 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 11:45:59 UTC 2008 年 8 月 5 日 (火) 20 時 45 分 59 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 11:46:05 UTC 2008 年 8 月 5 日 (火) 20 時 46 分 5 秒 (日本時間)
403e661 / 2089Jo Yeong UkAugust 5, 2008 11:52:13 UTC 2008 年 8 月 5 日 (火) 20 時 52 分 13 秒 (日本時間)

89×10167+19

c142

name 名前Robert Backstrom
date 日付April 16, 2009 23:38:49 UTC 2009 年 4 月 17 日 (金) 8 時 38 分 49 秒 (日本時間)
composite number 合成数
7736354788131589206605390894565669193375418184832672785771192551985407171377229803380722616315685306413508395609143695564930928388730640388599<142>
prime factors 素因数
11735515965675694227339384230495652756357364865648203<53>
659225790392093267074705101810375554863868616091506172922557608512373829311495920690579333<90>
factorization results 素因数分解の結果
Number: n
N=7736354788131589206605390894565669193375418184832672785771192551985407171377229803380722616315685306413508395609143695564930928388730640388599
  ( 142 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Apr 17 03:58:58 2009  prp53 factor: 11735515965675694227339384230495652756357364865648203
Fri Apr 17 03:58:58 2009  prp90 factor: 659225790392093267074705101810375554863868616091506172922557608512373829311495920690579333
Fri Apr 17 03:58:58 2009  elapsed time 01:46:12 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 38.58 hours.
Scaled time: 102.19 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_9_8_166_9
n: 7736354788131589206605390894565669193375418184832672785771192551985407171377229803380722616315685306413508395609143695564930928388730640388599
m: 5000000000000000000000000000000000
deg: 5
c5: 356
c0: 125
skew: 0.81
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 4700557)
Primes: RFBsize:348513, AFBsize:349036, largePrimes:16214116 encountered
Relations: rels:15325613, finalFF:700471
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1460658 hash collisions in 16448507 relations
Msieve: matrix is 883293 x 883541 (238.8 MB)

Total sieving time: 38.03 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 38.58 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 12:54:54 UTC 2008 年 8 月 5 日 (火) 21 時 54 分 54 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 12:55:00 UTC 2008 年 8 月 5 日 (火) 21 時 55 分 0 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 12:55:06 UTC 2008 年 8 月 5 日 (火) 21 時 55 分 6 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 12:55:16 UTC 2008 年 8 月 5 日 (火) 21 時 55 分 16 秒 (日本時間)

89×10168+19

c145

name 名前Robert Backstrom
date 日付June 6, 2009 20:48:08 UTC 2009 年 6 月 7 日 (日) 5 時 48 分 8 秒 (日本時間)
composite number 合成数
1456898472398100290050596745119217016354672758605044647270127522188882139954015967734324164186163472619789554745096128190882591606939001790586913<145>
prime factors 素因数
1197741581225809551137206782460379046419207957<46>
1216371290130096965390512251725852109764456594341931436026498758415155508058087929946270416461522909<100>
factorization results 素因数分解の結果
Number: n
N=1456898472398100290050596745119217016354672758605044647270127522188882139954015967734324164186163472619789554745096128190882591606939001790586913
  ( 145 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun Jun 07 06:14:32 2009  prp46 factor: 1197741581225809551137206782460379046419207957
Sun Jun 07 06:14:32 2009  prp100 factor: 1216371290130096965390512251725852109764456594341931436026498758415155508058087929946270416461522909
Sun Jun 07 06:14:32 2009  elapsed time 01:18:27 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 37.15 hours.
Scaled time: 96.40 units (timescale=2.595).
Factorization parameters were as follows:
name: KA_9_8_167_9
n: 1456898472398100290050596745119217016354672758605044647270127522188882139954015967734324164186163472619789554745096128190882591606939001790586913
m: 10000000000000000000000000000000000
deg: 5
c5: 89
c0: 100
skew: 1.02
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2600000, 4572629)
Primes: RFBsize:361407, AFBsize:361067, largePrimes:16319409 encountered
Relations: rels:15511318, finalFF:797908
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1476171 hash collisions in 17185281 relations
Msieve: matrix is 795559 x 795807 (216.5 MB)

Total sieving time: 36.66 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5200000,5200000,28,28,56,56,2.4,2.4,100000
total time: 37.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Luigi MorelliAugust 29, 2008 10:50:35 UTC 2008 年 8 月 29 日 (金) 19 時 50 分 35 秒 (日本時間)
255e4214Luigi MorelliAugust 29, 2008 10:54:18 UTC 2008 年 8 月 29 日 (金) 19 時 54 分 18 秒 (日本時間)
3025e4430Serge BatalovOctober 21, 2008 05:35:28 UTC 2008 年 10 月 21 日 (火) 14 時 35 分 28 秒 (日本時間)

89×10169+19

c169

name 名前Robert Backstrom
date 日付May 30, 2007 15:48:27 UTC 2007 年 5 月 31 日 (木) 0 時 48 分 27 秒 (日本時間)
composite number 合成数
2996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996633<169>
prime factors 素因数
1043029760492294778115192930717<31>
2137408286980640850586822612999<31>
1344155050671296329476443457173504996983463628893573178601520913356656425293555294725257688032563620895713451<109>
factorization results 素因数分解の結果
GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 2996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996633 (169 digits)
Using B1=169500, B2=66949183, polynomial x^2, sigma=2896656812
Step 1 took 4010ms
Step 2 took 2570ms
********** Factor found in step 2: 1043029760492294778115192930717
Found probable prime factor of 31 digits: 1043029760492294778115192930717
Composite cofactor 2873008144291711989195209969423528648144428878253696886313746593312608244389199594374269643148028490471315967218187741359804754194171749549 has 139 digits


GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 2873008144291711989195209969423528648144428878253696886313746593312608244389199594374269643148028490471315967218187741359804754194171749549 (139 digits)
Using B1=75500, B2=21150129, polynomial x^2, sigma=2425771376
Step 1 took 1370ms
Step 2 took 1040ms
********** Factor found in step 2: 2137408286980640850586822612999
Found probable prime factor of 31 digits: 2137408286980640850586822612999
Probable prime cofactor 1344155050671296329476443457173504996983463628893573178601520913356656425293555294725257688032563620895713451 has 109 digits

89×10171+19

c165

name 名前Serge Batalov
date 日付October 5, 2008 18:21:05 UTC 2008 年 10 月 6 日 (月) 3 時 21 分 5 秒 (日本時間)
composite number 合成数
995077574850154454487684142878694352676489781788767772295123953291595307585354484031425533710695819398473817099576283669917204961707234693618912994475429930254118327<165>
prime factors 素因数
20859158360218646280250430937682237384800186664930597024627057321<65>
47704588922816156402622683680592959261170977885583403442268477509804178279463931489193875017204443487<101>
factorization results 素因数分解の結果
SNFS difficulty: 172 digits.
Divisors found:
 r1=20859158360218646280250430937682237384800186664930597024627057321
 r2=47704588922816156402622683680592959261170977885583403442268477509804178279463931489193875017204443487
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.945).
Factorization parameters were as follows:
n: 995077574850154454487684142878694352676489781788767772295123953291595307585354484031425533710695819398473817099576283669917204961707234693618912994475429930254118327
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 890
c0: 1
skew: 0.26
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1147835 x 1148083
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,172,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

89×10173+19

c164

name 名前Serge Batalov
date 日付October 8, 2008 17:15:57 UTC 2008 年 10 月 9 日 (木) 2 時 15 分 57 秒 (日本時間)
composite number 合成数
10334846166644773118947276370372213703596548275653083075970650843413193899166892826813873902967045814628347177312759151240329845214046927329358818292276154861809039<164>
prime factors 素因数
36508796972420217359188613859528017520402107<44>
26223045467053073103521145401907892655457523884058353664729<59>
10795017884319115590619497478062896384036042183481493808139013<62>
factorization results 素因数分解の結果
SNFS difficulty: 174 digits.
Divisors found:
 r1=36508796972420217359188613859528017520402107
 r2=26223045467053073103521145401907892655457523884058353664729
 r3=10795017884319115590619497478062896384036042183481493808139013
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.927).
Factorization parameters were as follows:
n: 10334846166644773118947276370372213703596548275653083075970650843413193899166892826813873902967045814628347177312759151240329845214046927329358818292276154861809039
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 89000
c0: 1
skew: 0.103
type: snfs
rlim: 9000000
alim: 9000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1248890 x 1249138
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,174,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 40.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

89×10176+19

c162

name 名前Dmitry Domanov
date 日付December 11, 2010 16:31:37 UTC 2010 年 12 月 12 日 (日) 1 時 31 分 37 秒 (日本時間)
composite number 合成数
252573925791023055552477728807718982392114689986929665050984081948377626141689477103537048347149277731434175895238037623247371708275450278275198710587424745140169<162>
prime factors 素因数
46769179170386538273401476276159760249811023880307<50>
11941449567918718358536044806928058191426749433739891<53>
452242858937830963822035036405149710954577535615731294875937<60>
factorization results 素因数分解の結果
Number: new-s
N=252573925791023055552477728807718982392114689986929665050984081948377626141689477103537048347149277731434175895238037623247371708275450278275198710587424745140169
  ( 162 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=46769179170386538273401476276159760249811023880307 (pp50)
 r2=11941449567918718358536044806928058191426749433739891 (pp53)
 r3=452242858937830963822035036405149710954577535615731294875937 (pp60)
Version: Msieve-1.40
Total time: 74.83 hours.
Scaled time: 135.66 units (timescale=1.813).
Factorization parameters were as follows:
n: 252573925791023055552477728807718982392114689986929665050984081948377626141689477103537048347149277731434175895238037623247371708275450278275198710587424745140169
m: 100000000000000000000000000000000000
deg: 5
c5: 890
c0: 1
skew: 0.26
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 6850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1200766 x 1200994
Total sieving time: 72.42 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.81 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 74.83 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
2011e374Max DettweilerMarch 6, 2009 07:08:27 UTC 2009 年 3 月 6 日 (金) 16 時 8 分 27 秒 (日本時間)
255e4204Andreas TeteJune 2, 2009 09:21:32 UTC 2009 年 6 月 2 日 (火) 18 時 21 分 32 秒 (日本時間)
3025e4403Andreas TeteJune 2, 2009 10:19:43 UTC 2009 年 6 月 2 日 (火) 19 時 19 分 43 秒 (日本時間)
351e60--
403e62500Dmitry DomanovJune 18, 2009 09:09:14 UTC 2009 年 6 月 18 日 (木) 18 時 9 分 14 秒 (日本時間)
4511e60--
5043e674591130yoyo@homeFebruary 26, 2010 09:40:08 UTC 2010 年 2 月 26 日 (金) 18 時 40 分 8 秒 (日本時間)
6329juno1369October 7, 2010 22:11:04 UTC 2010 年 10 月 8 日 (金) 7 時 11 分 4 秒 (日本時間)
5511e71608315088juno1369October 7, 2010 22:12:29 UTC 2010 年 10 月 8 日 (金) 7 時 12 分 29 秒 (日本時間)
995yoyo@homeDecember 16, 2010 20:15:23 UTC 2010 年 12 月 17 日 (金) 5 時 15 分 23 秒 (日本時間)

89×10181+19

c179

name 名前Robert Backstrom
date 日付July 9, 2009 20:46:58 UTC 2009 年 7 月 10 日 (金) 5 時 46 分 58 秒 (日本時間)
composite number 合成数
36995469094234526333291765390530822629588061686827118925884357983123415222180654279419711518476950575716007814773246872012304111069543168308600407365839464604896703662135760901193<179>
prime factors 素因数
40086795901480525822645927616850833828200151<44>
4401347710531047444920804384243769376286461546304783503<55>
209682175547011199524064175561135108760786096939706109059852576036837707179292081<81>
factorization results 素因数分解の結果
Number: n
N=36995469094234526333291765390530822629588061686827118925884357983123415222180654279419711518476950575716007814773246872012304111069543168308600407365839464604896703662135760901193
  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Jul 10 06:11:59 2009  prp44 factor: 40086795901480525822645927616850833828200151
Fri Jul 10 06:11:59 2009  prp55 factor: 4401347710531047444920804384243769376286461546304783503
Fri Jul 10 06:11:59 2009  prp81 factor: 209682175547011199524064175561135108760786096939706109059852576036837707179292081
Fri Jul 10 06:11:59 2009  elapsed time 02:39:51 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 141.03 hours.
Scaled time: 375.14 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_9_8_180_9
n: 36995469094234526333291765390530822629588061686827118925884357983123415222180654279419711518476950575716007814773246872012304111069543168308600407365839464604896703662135760901193
m: 2000000000000000000000000000000000000
deg: 5
c5: 445
c0: 16
skew: 0.51
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4100000, 6500029)
Primes: RFBsize:552319, AFBsize:551788, largePrimes:20639948 encountered
Relations: rels:20319258, finalFF:1160014
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1760100 hash collisions in 21647752 relations
Msieve: matrix is 1348819 x 1349067 (365.5 MB)

Total sieving time: 140.52 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,56,56,2.5,2.5,100000
total time: 141.03 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
3025e443050Makoto KamadaFebruary 5, 2009 05:37:36 UTC 2009 年 2 月 5 日 (木) 14 時 37 分 36 秒 (日本時間)
380Max DettweilerMarch 8, 2009 03:18:54 UTC 2009 年 3 月 8 日 (日) 12 時 18 分 54 秒 (日本時間)
351e612011Max DettweilerMarch 8, 2009 03:18:54 UTC 2009 年 3 月 8 日 (日) 12 時 18 分 54 秒 (日本時間)
1200Dmitry DomanovJune 18, 2009 09:10:07 UTC 2009 年 6 月 18 日 (木) 18 時 10 分 7 秒 (日本時間)
403e6280 / 1822Dmitry DomanovJune 18, 2009 09:10:07 UTC 2009 年 6 月 18 日 (木) 18 時 10 分 7 秒 (日本時間)
4511e654 / 4362Dmitry DomanovJune 21, 2009 18:03:04 UTC 2009 年 6 月 22 日 (月) 3 時 3 分 4 秒 (日本時間)

89×10182+19

c164

name 名前Dmitry Domanov
date 日付December 19, 2010 09:50:30 UTC 2010 年 12 月 19 日 (日) 18 時 50 分 30 秒 (日本時間)
composite number 合成数
91235921601499157776791814421833016011298857357560733035581713899828173236456197313123647100677332449106946417217708840749344833433112252741095346149832282860470159<164>
prime factors 素因数
3090622181384609075994059932603415885414565499524281<52>
2514064421801267257790055443234980708597029308553770909<55>
11742039690372078442725180530764223541420039156008148800371<59>
factorization results 素因数分解の結果
N=91235921601499157776791814421833016011298857357560733035581713899828173236456197313123647100677332449106946417217708840749344833433112252741095346149832282860470159
  ( 164 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=3090622181384609075994059932603415885414565499524281 (pp52)
 r2=2514064421801267257790055443234980708597029308553770909 (pp55)
 r3=11742039690372078442725180530764223541420039156008148800371 (pp59)
Version: Msieve v. 1.47
Total time: 246.09 hours.
Scaled time: 304.66 units (timescale=1.238).
Factorization parameters were as follows:
n: 91235921601499157776791814421833016011298857357560733035581713899828173236456197313123647100677332449106946417217708840749344833433112252741095346149832282860470159
m: 1000000000000000000000000000000000000
deg: 5
c5: 8900
c0: 1
skew: 0.16
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 9950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1609553 x 1609778
Total sieving time: 236.52 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 4.93 hours.
Time per square root: 4.34 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 246.09 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU1: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU2: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU3: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU4: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU5: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU6: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
CPU7: Intel(R) Xeon(R) CPU           E5504  @ 2.00GHz stepping 05
Memory: 8285828k/9437184k available (2630k kernel code, 92872k reserved, 1532k data, 320k init, 7462464k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4000.10 BogoMIPS (lpj=2000051)
Calibrating delay using timer specific routine.. 3999.39 BogoMIPS (lpj=1999698)
Calibrating delay using timer specific routine.. 3999.38 BogoMIPS (lpj=1999692)
Calibrating delay using timer specific routine.. 3999.38 BogoMIPS (lpj=1999692)
Calibrating delay using timer specific routine.. 3999.42 BogoMIPS (lpj=1999710)
Calibrating delay using timer specific routine.. 3999.43 BogoMIPS (lpj=1999717)
Calibrating delay using timer specific routine.. 3999.47 BogoMIPS (lpj=1999735)
Calibrating delay using timer specific routine.. 3999.48 BogoMIPS (lpj=1999743)
Total of 8 processors activated (31996.07 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:09:10 UTC 2009 年 3 月 6 日 (金) 16 時 9 分 10 秒 (日本時間)
255e4204Andreas TeteJune 2, 2009 10:27:03 UTC 2009 年 6 月 2 日 (火) 19 時 27 分 3 秒 (日本時間)
3025e4403Andreas TeteJune 2, 2009 20:51:30 UTC 2009 年 6 月 3 日 (水) 5 時 51 分 30 秒 (日本時間)
351e61200Dmitry DomanovJune 18, 2009 09:11:02 UTC 2009 年 6 月 18 日 (木) 18 時 11 分 2 秒 (日本時間)
403e6750Dmitry DomanovJune 18, 2009 09:11:02 UTC 2009 年 6 月 18 日 (木) 18 時 11 分 2 秒 (日本時間)
4511e6336 / 418836Dmitry DomanovJune 21, 2009 18:03:45 UTC 2009 年 6 月 22 日 (月) 3 時 3 分 45 秒 (日本時間)
300Dmitry DomanovJune 23, 2009 11:56:47 UTC 2009 年 6 月 23 日 (火) 20 時 56 分 47 秒 (日本時間)
5043e620 / 7442Rich DickersonSeptember 25, 2010 19:37:45 UTC 2010 年 9 月 26 日 (日) 4 時 37 分 45 秒 (日本時間)

89×10183+19

c138

name 名前Serge Batalov
date 日付August 5, 2008 18:49:27 UTC 2008 年 8 月 6 日 (水) 3 時 49 分 27 秒 (日本時間)
composite number 合成数
427017476485584704577871537539261177750725753274655162889021543708187546606591716767002537530030373273345333794747984461847059765927125697<138>
prime factors 素因数
855468002423990818667567862479<30>
275723309612424883809954589539130241126436024793<48>
1810374387839617565875816723065884562933961409570318045244551<61>
factorization results 素因数分解の結果
# by ECM -
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3594520275
Step 1 took 4753ms
Step 2 took 2516ms
********** Factor found in step 2: 855468002423990818667567862479
Found probable prime factor of 30 digits: 855468002423990818667567862479
Composite cofactor 499162417852707040683001124722295789588462930665489693937531449950777948895806297476020644412226345984152943 has 108 digits
# 
# then gnfs-108
#
Number: 98889_183
N=499162417852707040683001124722295789588462930665489693937531449950777948895806297476020644412226345984152943
  ( 108 digits)
Divisors found:
 r1=275723309612424883809954589539130241126436024793
 r2=1810374387839617565875816723065884562933961409570318045244551
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.731).
Factorization parameters were as follows:
name: 98889_183
n: 499162417852707040683001124722295789588462930665489693937531449950777948895806297476020644412226345984152943
skew: 6367.74
# norm 1.99e+14
c5: 98280
c4: -3932189772
c3: -14195911115856
c2: 168247492708970018
c1: 394303928144318474569
c0: 11250118535848240977980
# alpha -4.82
Y1: 146536788547
Y0: -347661669355558617337
# Murphy_E 1.26e-09
# M 234099490853764417282034601725069136841311422359331376023196173334057189716504940742691805709108107303510010
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1600000, 2900001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 363455 x 363690
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:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,49,49,2.6,2.6,100000

total time: 9.00 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

89×10184+19

c151

name 名前Dmitry Domanov
date 日付December 9, 2010 21:29:58 UTC 2010 年 12 月 10 日 (金) 6 時 29 分 58 秒 (日本時間)
composite number 合成数
9304614518461221721104624962266784798483154187010164476340585209206066713053419278049718921187096589377538419636855579283100025304641980222987710282567<151>
prime factors 素因数
550430708386191940522211731098270118979771844421<48>
16904243125790393339203696570670975596466064552021321059199023227488558990952385101524564399671705619227<104>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1025793762
Step 1 took 72803ms
Step 2 took 2282ms
********** Factor found in step 2: 550430708386191940522211731098270118979771844421
Found probable prime factor of 48 digits: 550430708386191940522211731098270118979771844421
Probable prime cofactor 16904243125790393339203696570670975596466064552021321059199023227488558990952385101524564399671705619227 has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:09:40 UTC 2009 年 3 月 6 日 (金) 16 時 9 分 40 秒 (日本時間)
255e40--
3025e4430Ignacio SantosSeptember 21, 2010 15:52:03 UTC 2010 年 9 月 22 日 (水) 0 時 52 分 3 秒 (日本時間)
351e6300Ignacio SantosSeptember 21, 2010 15:52:12 UTC 2010 年 9 月 22 日 (水) 0 時 52 分 12 秒 (日本時間)
403e6110 / 764Ignacio SantosSeptember 21, 2010 15:52:12 UTC 2010 年 9 月 22 日 (水) 0 時 52 分 12 秒 (日本時間)
4511e6432 / 444132Ignacio SantosSeptember 21, 2010 15:52:12 UTC 2010 年 9 月 22 日 (水) 0 時 52 分 12 秒 (日本時間)
400Dmitry DomanovDecember 9, 2010 21:16:47 UTC 2010 年 12 月 10 日 (金) 6 時 16 分 47 秒 (日本時間)

89×10185+19

c176

name 名前Dmitry Domanov
date 日付June 21, 2009 18:08:19 UTC 2009 年 6 月 22 日 (月) 3 時 8 分 19 秒 (日本時間)
composite number 合成数
73335102607284543560711996354737756709932388834895989633418583233732688994282767788833980465972570073634106877205723215483757441834725275179950550473039036490945536505526586039<176>
prime factors 素因数
40940401384167441808899155767<29>
1791264866192661432732845062852095165264741708650930105086935795122598812517413884118459537265905771919543758665292146582186543306950429077800614017<148>
factorization results 素因数分解の結果
[2009-06-21 02:52:13 GMT] a: Factor found!  / (probable) 40940401384167441808899155767  B1: 11000000 sigma: 2019692168 (found in step 2)
[2009-06-21 02:52:13 GMT] a:    Co-factor:  / (Probable) 1791264866192661432732845062852095165264741708650930105086935795122598812517413884118459537265905771919543758665292146582186543306950429077800614017
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:10:16 UTC 2009 年 3 月 6 日 (金) 16 時 10 分 16 秒 (日本時間)

89×10188+19

c180

name 名前matsui
date 日付January 2, 2010 14:23:08 UTC 2010 年 1 月 2 日 (土) 23 時 23 分 8 秒 (日本時間)
composite number 合成数
173018150540991956564701088207302131443448578816904191046940273952880832958355226717188652476361159129202935283242928780647733126805011843368747565724168501268951381838402899388773<180>
prime factors 素因数
2091546326560676247569725487130968152749100744835293083169<58>
82722600185242733898512039792030400940846037334204427271661548152684517349797738972521701637486575332142872813759995282117<122>
factorization results 素因数分解の結果
N=173018150540991956564701088207302131443448578816904191046940273952880832958355226717188652476361159129202935283242928780647733126805011843368747565724168501268951381838402899388773
  ( 180 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=2091546326560676247569725487130968152749100744835293083169 (pp58)
 r2=82722600185242733898512039792030400940846037334204427271661548152684517349797738972521701637486575332142872813759995282117 (pp122)
Version: Msieve v. 1.43
Total time: 
Scaled time: 4.50 units (timescale=1.728).
Factorization parameters were as follows:
n: 173018150540991956564701088207302131443448578816904191046940273952880832958355226717188652476361159129202935283242928780647733126805011843368747565724168501268951381838402899388773
m: 10000000000000000000000000000000000000
deg: 5
c5: 89000
c0: 1
skew: 0.10
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 800000


Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5150000, 9150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1359811 x 1360041
Total sieving time:
Total relation processing time:
Matrix solve time: 
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:10:51 UTC 2009 年 3 月 6 日 (金) 16 時 10 分 51 秒 (日本時間)
255e40--
3025e40--
351e6120Dmitry DomanovJune 23, 2009 11:57:13 UTC 2009 年 6 月 23 日 (火) 20 時 57 分 13 秒 (日本時間)
403e60 / 1283--
4511e6300 / 4475Dmitry DomanovJune 23, 2009 11:57:21 UTC 2009 年 6 月 23 日 (火) 20 時 57 分 21 秒 (日本時間)

89×10192+19

c177

name 名前Dmitry Domanov
date 日付December 21, 2010 19:06:43 UTC 2010 年 12 月 22 日 (水) 4 時 6 分 43 秒 (日本時間)
composite number 合成数
748114386776887849372434441465472766147859627402750026457249655664184415920532110551366024994406745282199985529975194514572694215680472202450911817988622631689574593364587771447<177>
prime factors 素因数
9875701094636583704726750466026393168555739318445554101423<58>
75753040681150520258072059737465334597972288947874780980937806435418896154403977556962920626531430932596646398009917689<119>
factorization results 素因数分解の結果
Sieving took ~12 cpu-days.

Msieve v. 1.47
Tue Dec 21 21:09:48 2010
random seeds: 974d7a2d 8fc25c5b
factoring 7481143867768878493724344414654727661478596274027500264572496556641844                                                                              15920532110551366024994406745282199985529975194514572694215680472202450911817988                                                                              622631689574593364587771447 (177 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (177-digit input)
R0: -100000000000000000000000000000000000000
R1:  1
A0:  1
A1:  0
A2:  0
A3:  0
A4:  0
A5:  8900
skew 0.16, size 2.241e-13, alpha -0.637, combined = 3.272e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1198250 cycles
cycles contain 3885368 unique relations
read 3885368 relations
multiplying 3885368 relations
multiply complete, coefficients have about 134.28 million bits
initial square root is modulo 65921
sqrtTime: 2931
prp58 factor: 9875701094636583704726750466026393168555739318445554101423
prp119 factor: 75753040681150520258072059737465334597972288947874780980937806435                                                                              418896154403977556962920626531430932596646398009917689

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:11:24 UTC 2009 年 3 月 6 日 (金) 16 時 11 分 24 秒 (日本時間)
255e40--
3025e40--
351e6120Dmitry DomanovJune 23, 2009 11:57:49 UTC 2009 年 6 月 23 日 (火) 20 時 57 分 49 秒 (日本時間)
403e6300Rich DickersonSeptember 23, 2010 17:20:29 UTC 2010 年 9 月 24 日 (金) 2 時 20 分 29 秒 (日本時間)
4511e6600 / 4409300Dmitry DomanovJune 23, 2009 11:57:55 UTC 2009 年 6 月 23 日 (火) 20 時 57 分 55 秒 (日本時間)
300Rich DickersonSeptember 23, 2010 19:42:50 UTC 2010 年 9 月 24 日 (金) 4 時 42 分 50 秒 (日本時間)

89×10194+19

c158

name 名前Dmitry Domanov
date 日付June 21, 2009 18:10:46 UTC 2009 年 6 月 22 日 (月) 3 時 10 分 46 秒 (日本時間)
composite number 合成数
11070898318641207744978714683156962920665409033304389057909037952605216370120689461218759571224944153596701707447956520710070267070374124660487522560378769893<158>
prime factors 素因数
38346165072677325477768700865603<32>
composite cofactor 合成数の残り
288709400214039153514611082816280322399269582988374671238906295467466961967639668368802541858848488578358621719840471080565431<126>
factorization results 素因数分解の結果
[2009-06-21 00:32:28 GMT] a: Factor found!  / (probable) 38346165072677325477768700865603  B1: 11000000 sigma: 2792758941 (found in step 2)
[2009-06-21 00:32:28 GMT] a:    Co-factor:  / (Composite) 288709400214039153514611082816280322399269582988374671238906295467466961967639668368802541858848488578358621719840471080565431
software ソフトウェア
ECMNET

c126

name 名前Jo Yeong Uk
date 日付June 23, 2009 14:58:21 UTC 2009 年 6 月 23 日 (火) 23 時 58 分 21 秒 (日本時間)
composite number 合成数
288709400214039153514611082816280322399269582988374671238906295467466961967639668368802541858848488578358621719840471080565431<126>
prime factors 素因数
9097052437296664414776212359460597<34>
3374615834793386611677694152332672045296747<43>
9404503802431255949573827788376837390651779708209<49>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 288709400214039153514611082816280322399269582988374671238906295467466961967639668368802541858848488578358621719840471080565431 (126 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6364061278
Step 1 took 4180ms
********** Factor found in step 1: 9097052437296664414776212359460597
Found probable prime factor of 34 digits: 9097052437296664414776212359460597
Composite cofactor 31736587450059131430259469757449683794651893754830576115125492366442558497351134990476896123 has 92 digits

06/23/09 22:31:38 v1.10 @ 조영욱-PC, starting SIQS on c92: 31736587450059131430259469757449683794651893754830576115125492366442558497351134990476896123
06/23/09 22:31:38 v1.10 @ 조영욱-PC, random seeds: 552356298, 3598319296
06/23/09 22:31:38 v1.10 @ 조영욱-PC, ==== sieve params ====
06/23/09 22:31:38 v1.10 @ 조영욱-PC, n = 92 digits, 306 bits
06/23/09 22:31:38 v1.10 @ 조영욱-PC, factor base: 71746 primes (max prime = 1914439)
06/23/09 22:31:38 v1.10 @ 조영욱-PC, single large prime cutoff: 229732680 (120 * pmax)
06/23/09 22:31:38 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
06/23/09 22:31:38 v1.10 @ 조영욱-PC, double large prime cutoff: 1122537872193945
06/23/09 22:31:38 v1.10 @ 조영욱-PC, using 16 large prime slices of factor base
06/23/09 22:31:38 v1.10 @ 조영욱-PC, buckets hold 1024 elements
06/23/09 22:31:38 v1.10 @ 조영욱-PC, sieve interval: 11 blocks of size 65536
06/23/09 22:31:38 v1.10 @ 조영욱-PC, polynomial A has ~ 12 factors
06/23/09 22:31:38 v1.10 @ 조영욱-PC, using multiplier of 3
06/23/09 22:31:38 v1.10 @ 조영욱-PC, using small prime variation correction of 17 bits
06/23/09 22:31:38 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
06/23/09 22:31:38 v1.10 @ 조영욱-PC, trial factoring cutoff at 100 bits
06/23/09 22:31:38 v1.10 @ 조영욱-PC, ==== sieving started ====
06/23/09 23:55:14 v1.10 @ 조영욱-PC, sieve time = 2424.8690, relation time = 833.1370, poly_time = 1757.1540
06/23/09 23:55:14 v1.10 @ 조영욱-PC, 71833 relations found: 19062 full + 52771 from 910631 partial, using 753626 polys (368 A polys)
06/23/09 23:55:14 v1.10 @ 조영욱-PC, on average, sieving found 1.23 rels/poly and 185.33 rels/sec
06/23/09 23:55:14 v1.10 @ 조영욱-PC, trial division touched 29908181 sieve locations out of 1086571937792
06/23/09 23:55:14 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
06/23/09 23:55:15 v1.10 @ 조영욱-PC, begin with 929693 relations
06/23/09 23:55:15 v1.10 @ 조영욱-PC, reduce to 175623 relations in 10 passes
06/23/09 23:55:17 v1.10 @ 조영욱-PC, recovered 175623 relations
06/23/09 23:55:17 v1.10 @ 조영욱-PC, recovered 156791 polynomials
06/23/09 23:55:17 v1.10 @ 조영욱-PC, attempting to build 71833 cycles
06/23/09 23:55:17 v1.10 @ 조영욱-PC, found 71833 cycles in 5 passes
06/23/09 23:55:17 v1.10 @ 조영욱-PC, distribution of cycle lengths:
06/23/09 23:55:17 v1.10 @ 조영욱-PC,    length 1 : 19062
06/23/09 23:55:17 v1.10 @ 조영욱-PC,    length 2 : 14133
06/23/09 23:55:17 v1.10 @ 조영욱-PC,    length 3 : 12724
06/23/09 23:55:17 v1.10 @ 조영욱-PC,    length 4 : 9637
06/23/09 23:55:17 v1.10 @ 조영욱-PC,    length 5 : 6676
06/23/09 23:55:17 v1.10 @ 조영욱-PC,    length 6 : 4215
06/23/09 23:55:17 v1.10 @ 조영욱-PC,    length 7 : 2381
06/23/09 23:55:17 v1.10 @ 조영욱-PC,    length 9+: 3005
06/23/09 23:55:17 v1.10 @ 조영욱-PC, largest cycle: 21 relations
06/23/09 23:55:17 v1.10 @ 조영욱-PC, matrix is 71746 x 71833 (18.7 MB) with weight 4332676 (60.32/col)
06/23/09 23:55:17 v1.10 @ 조영욱-PC, sparse part has weight 4332676 (60.32/col)
06/23/09 23:55:18 v1.10 @ 조영욱-PC, filtering completed in 3 passes
06/23/09 23:55:18 v1.10 @ 조영욱-PC, matrix is 67865 x 67929 (17.9 MB) with weight 4138642 (60.93/col)
06/23/09 23:55:18 v1.10 @ 조영욱-PC, sparse part has weight 4138642 (60.93/col)
06/23/09 23:55:18 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
06/23/09 23:55:18 v1.10 @ 조영욱-PC, matrix is 67817 x 67929 (12.2 MB) with weight 3300446 (48.59/col)
06/23/09 23:55:18 v1.10 @ 조영욱-PC, sparse part has weight 2517689 (37.06/col)
06/23/09 23:55:18 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
06/23/09 23:55:18 v1.10 @ 조영욱-PC, using block size 27171 for processor cache size 4096 kB
06/23/09 23:55:18 v1.10 @ 조영욱-PC, commencing Lanczos iteration
06/23/09 23:55:18 v1.10 @ 조영욱-PC, memory use: 10.7 MB
06/23/09 23:55:39 v1.10 @ 조영욱-PC, lanczos halted after 1074 iterations (dim = 67814)
06/23/09 23:55:39 v1.10 @ 조영욱-PC, recovered 16 nontrivial dependencies
06/23/09 23:55:40 v1.10 @ 조영욱-PC, prp49 = 9404503802431255949573827788376837390651779708209
06/23/09 23:55:44 v1.10 @ 조영욱-PC, prp43 = 3374615834793386611677694152332672045296747
06/23/09 23:55:44 v1.10 @ 조영욱-PC, Lanczos elapsed time = 24.9760 seconds.
06/23/09 23:55:44 v1.10 @ 조영욱-PC, Sqrt elapsed time = 4.9760 seconds.
06/23/09 23:55:44 v1.10 @ 조영욱-PC, SIQS elapsed time = 5046.4850 seconds.
06/23/09 23:55:44 v1.10 @ 조영욱-PC, 
06/23/09 23:55:44 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM 6.2.3 / YAFU 1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:12:01 UTC 2009 年 3 月 6 日 (金) 16 時 12 分 1 秒 (日本時間)
255e40--
3025e40--
351e60 / 568--
403e6120 / 2350Dmitry DomanovJune 21, 2009 18:09:52 UTC 2009 年 6 月 22 日 (月) 3 時 9 分 52 秒 (日本時間)

89×10195+19

c162

name 名前Dmitry Domanov
date 日付December 23, 2010 14:17:23 UTC 2010 年 12 月 23 日 (木) 23 時 17 分 23 秒 (日本時間)
composite number 合成数
186176134374224885446313829243699405980513658842895376886403205565395066412732882555349106134677758370423399970720625653674723005660040380049846505017679909311141<162>
prime factors 素因数
289585549135941085357956288116281147305069725574391<51>
642905472768696816758515713419024979738320915296327760390263526129204875226824978343549212344127538347820829251<111>
factorization results 素因数分解の結果
Sieving took ~16 cpu-days.

Msieve v. 1.47
Thu Dec 23 13:08:31 2010
random seeds: f4251969 53499965
factoring 186176134374224885446313829243699405980513658842895376886403205565395066412732882555349106134677758370423399970720625653674723005660040380049846505017679909311141 (162 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (162-digit input)
R0: -1000000000000000000000000000000000000000
R1:  1
A0:  1
A1:  0
A2:  0
A3:  0
A4:  0
A5:  89
skew 0.41, size 2.261e-13, alpha -0.204, combined = 3.158e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 922694 cycles
cycles contain 2824984 unique relations
read 2824984 relations
multiplying 2824984 relations
multiply complete, coefficients have about 82.87 million bits
initial square root is modulo 887581
reading relations for dependency 2
read 922735 cycles
cycles contain 2825158 unique relations
read 2825158 relations
multiplying 2825158 relations
multiply complete, coefficients have about 82.87 million bits
initial square root is modulo 888361
reading relations for dependency 3
read 922319 cycles
cycles contain 2823528 unique relations
read 2823528 relations
multiplying 2823528 relations
multiply complete, coefficients have about 82.82 million bits
initial square root is modulo 880861
reading relations for dependency 4
read 923390 cycles
cycles contain 2828442 unique relations
read 2828442 relations
multiplying 2828442 relations
multiply complete, coefficients have about 82.96 million bits
initial square root is modulo 902141
reading relations for dependency 5
read 923092 cycles
cycles contain 2826400 unique relations
read 2826400 relations
multiplying 2826400 relations
multiply complete, coefficients have about 82.91 million bits
initial square root is modulo 893881
sqrtTime: 8466
prp51 factor: 289585549135941085357956288116281147305069725574391
prp111 factor: 642905472768696816758515713419024979738320915296327760390263526129204875226824978343549212344127538347820829251
elapsed time 02:21:08

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:12:30 UTC 2009 年 3 月 6 日 (金) 16 時 12 分 30 秒 (日本時間)
255e40--
3025e40--
351e6120Dmitry DomanovJune 23, 2009 11:58:14 UTC 2009 年 6 月 23 日 (火) 20 時 58 分 14 秒 (日本時間)
403e60--
4511e6700 / 4475300Dmitry DomanovJune 23, 2009 11:58:19 UTC 2009 年 6 月 23 日 (火) 20 時 58 分 19 秒 (日本時間)
400Dmitry DomanovDecember 9, 2010 21:15:53 UTC 2010 年 12 月 10 日 (金) 6 時 15 分 53 秒 (日本時間)

89×10196+19

c167

name 名前Dmitry Domanov
date 日付December 9, 2010 21:10:14 UTC 2010 年 12 月 10 日 (金) 6 時 10 分 14 秒 (日本時間)
composite number 合成数
14750491532876512186151580834233782030017745771463797894841534231240953087050031419302634865277757284818839183065541316819820003567318279594901975639146402502762766253<167>
prime factors 素因数
5639392232641971122838206299876477417<37>
2615617237527407625662939276906569887161584996244062233469220041596471837659827895613059683208511595543935568974694375701393033509<130>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3477016352
Step 1 took 100760ms
Step 2 took 48540ms
********** Factor found in step 2: 5639392232641971122838206299876477417
Found probable prime factor of 37 digits: 5639392232641971122838206299876477417
Probable prime cofactor 2615617237527407625662939276906569887161584996244062233469220041596471837659827895613059683208511595543935568974694375701393033509 has 130 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:13:03 UTC 2009 年 3 月 6 日 (金) 16 時 13 分 3 秒 (日本時間)
255e40--
3025e40--
351e6120Dmitry DomanovJune 23, 2009 11:58:43 UTC 2009 年 6 月 23 日 (火) 20 時 58 分 43 秒 (日本時間)
403e60--
4511e6700 / 4475300Dmitry DomanovJune 23, 2009 11:58:49 UTC 2009 年 6 月 23 日 (火) 20 時 58 分 49 秒 (日本時間)
400Dmitry DomanovDecember 9, 2010 18:08:47 UTC 2010 年 12 月 10 日 (金) 3 時 8 分 47 秒 (日本時間)

89×10198+19

c151

name 名前Dmitry Domanov
date 日付December 9, 2010 21:09:16 UTC 2010 年 12 月 10 日 (金) 6 時 9 分 16 秒 (日本時間)
composite number 合成数
3644294481802054702074482416107025751122026723203262487883027906121152932420037231524191511230107502368223926430246726131550570211348197102339570924797<151>
prime factors 素因数
4395777690025921192930302738422830259<37>
829044309968406269555460993165557657147907929306084728707699607402895883204870741180673313769422382597949693648783<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3264684808
Step 1 took 79853ms
********** Factor found in step 1: 4395777690025921192930302738422830259
Found probable prime factor of 37 digits: 4395777690025921192930302738422830259
Probable prime cofactor 829044309968406269555460993165557657147907929306084728707699607402895883204870741180673313769422382597949693648783 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:13:37 UTC 2009 年 3 月 6 日 (金) 16 時 13 分 37 秒 (日本時間)
255e40--
3025e4430Ignacio SantosSeptember 21, 2010 15:52:41 UTC 2010 年 9 月 22 日 (水) 0 時 52 分 41 秒 (日本時間)
351e6300Ignacio SantosSeptember 21, 2010 15:53:00 UTC 2010 年 9 月 22 日 (水) 0 時 53 分 0 秒 (日本時間)
403e6110Ignacio SantosSeptember 21, 2010 15:53:00 UTC 2010 年 9 月 22 日 (水) 0 時 53 分 0 秒 (日本時間)
4511e6632 / 444132Ignacio SantosSeptember 21, 2010 15:53:00 UTC 2010 年 9 月 22 日 (水) 0 時 53 分 0 秒 (日本時間)
600Dmitry DomanovDecember 9, 2010 18:08:06 UTC 2010 年 12 月 10 日 (金) 3 時 8 分 6 秒 (日本時間)

89×10199+19

c186

name 名前Dmitry Domanov
date 日付June 22, 2009 10:14:54 UTC 2009 年 6 月 22 日 (月) 19 時 14 分 54 秒 (日本時間)
composite number 合成数
156930468699671468968523943076463035821124211681984406088854715732931548129974033756478401291711597907464147199423406607932444371864424577908674449449576888774949443876757429882635734591<186>
prime factors 素因数
75505703827954394348190142512190813<35>
2078392237191109696799707468604509557501015179027375428569828921512009119409343165258187588687754438966150764624796567341773480588321102772113091935307<151>
factorization results 素因数分解の結果
C186=P35*P151
C186=75505703827954394348190142512190813<35>*2078392237191109696799707468604509557501015179027375428569828921512009119409343165258187588687754438
966150764624796567341773480588321102772113091935307<151>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:14:15 UTC 2009 年 3 月 6 日 (金) 16 時 14 分 15 秒 (日本時間)

89×10200+19

c148

name 名前Dmitry Domanov
date 日付December 25, 2010 10:13:35 UTC 2010 年 12 月 25 日 (土) 19 時 13 分 35 秒 (日本時間)
composite number 合成数
1505871617969754125105340716471716819425587070405342528239414663881617287096489984670330206579680277997690189671740540831971891667033085854377993899<148>
prime factors 素因数
20502432527984094536714150970230783711779461876400423<53>
73448436711808031978070821097623409494793851759943982262957531629491094500762361466324087150813<95>
factorization results 素因数分解の結果
Sieving took ~20 cpu-days

Sat Dec 25 09:07:22 2010  Msieve v. 1.47
Sat Dec 25 09:07:22 2010  random seeds: b64a5c24 9dce27fe
Sat Dec 25 09:07:22 2010  factoring 1505871617969754125105340716471716819425587070405342528239414663881617287096489984670330206579680277997690189671740540831971891667033085854377993899 (148 digits)
Sat Dec 25 09:07:24 2010  no P-1/P+1/ECM available, skipping
Sat Dec 25 09:07:24 2010  commencing number field sieve (148-digit input)
Sat Dec 25 09:07:24 2010  R0: -10000000000000000000000000000000000000000
Sat Dec 25 09:07:24 2010  R1:  1
Sat Dec 25 09:07:24 2010  A0:  1
Sat Dec 25 09:07:24 2010  A1:  0
Sat Dec 25 09:07:24 2010  A2:  0
Sat Dec 25 09:07:24 2010  A3:  0
Sat Dec 25 09:07:24 2010  A4:  0
Sat Dec 25 09:07:24 2010  A5:  89
Sat Dec 25 09:07:24 2010  skew 0.41, size 1.050e-13, alpha -0.204, combined = 1.952e-11 rroots = 1
Sat Dec 25 09:07:24 2010
Sat Dec 25 09:07:24 2010  commencing square root phase
Sat Dec 25 09:07:24 2010  reading relations for dependency 1
Sat Dec 25 09:07:24 2010  read 1327123 cycles
Sat Dec 25 09:07:28 2010  cycles contain 4311898 unique relations
Sat Dec 25 09:08:25 2010  read 4311898 relations
Sat Dec 25 09:09:04 2010  multiplying 4311898 relations
Sat Dec 25 09:23:53 2010  multiply complete, coefficients have about 127.25 million bits
Sat Dec 25 09:23:54 2010  initial square root is modulo 1361025431
Sat Dec 25 09:53:55 2010  Newton iteration failed to converge
Sat Dec 25 09:53:55 2010  algebraic square root failed
Sat Dec 25 09:53:55 2010  reading relations for dependency 2
Sat Dec 25 09:53:56 2010  read 1328612 cycles
Sat Dec 25 09:54:00 2010  cycles contain 4313828 unique relations
Sat Dec 25 09:54:56 2010  read 4313828 relations
Sat Dec 25 09:55:34 2010  multiplying 4313828 relations
Sat Dec 25 10:10:31 2010  multiply complete, coefficients have about 127.31 million bits
Sat Dec 25 10:10:32 2010  initial square root is modulo 1373752141
Sat Dec 25 10:40:26 2010  reading relations for dependency 3
Sat Dec 25 10:40:28 2010  read 1328901 cycles
Sat Dec 25 10:40:32 2010  cycles contain 4316328 unique relations
Sat Dec 25 10:41:32 2010  read 4316328 relations
Sat Dec 25 10:42:11 2010  multiplying 4316328 relations
Sat Dec 25 10:57:26 2010  multiply complete, coefficients have about 127.39 million bits
Sat Dec 25 10:57:27 2010  initial square root is modulo 1391798491
Sat Dec 25 11:27:47 2010  Newton iteration failed to converge
Sat Dec 25 11:27:47 2010  algebraic square root failed
Sat Dec 25 11:27:47 2010  reading relations for dependency 4
Sat Dec 25 11:27:48 2010  read 1328939 cycles
Sat Dec 25 11:27:52 2010  cycles contain 4314824 unique relations
Sat Dec 25 11:28:51 2010  read 4314824 relations
Sat Dec 25 11:29:30 2010  multiplying 4314824 relations
Sat Dec 25 11:45:03 2010  multiply complete, coefficients have about 127.34 million bits
Sat Dec 25 11:45:04 2010  initial square root is modulo 1381360051
Sat Dec 25 12:15:38 2010  reading relations for dependency 5
Sat Dec 25 12:15:39 2010  read 1328728 cycles
Sat Dec 25 12:15:43 2010  cycles contain 4315482 unique relations
Sat Dec 25 12:16:48 2010  read 4315482 relations
Sat Dec 25 12:17:29 2010  multiplying 4315482 relations
Sat Dec 25 12:33:01 2010  multiply complete, coefficients have about 127.37 million bits
Sat Dec 25 12:33:03 2010  initial square root is modulo 1386731261
Sat Dec 25 13:04:12 2010  sqrtTime: 14208
Sat Dec 25 13:04:12 2010  prp53 factor: 20502432527984094536714150970230783711779461876400423
Sat Dec 25 13:04:12 2010  prp95 factor: 73448436711808031978070821097623409494793851759943982262957531629491094500762361466324087150813
Sat Dec 25 13:04:12 2010  elapsed time 03:56:50

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Max DettweilerMarch 6, 2009 07:16:20 UTC 2009 年 3 月 6 日 (金) 16 時 16 分 20 秒 (日本時間)
255e40--
3025e40--
351e6120Dmitry DomanovJune 23, 2009 11:59:07 UTC 2009 年 6 月 23 日 (火) 20 時 59 分 7 秒 (日本時間)
403e60--
4511e6700 / 4475300Dmitry DomanovJune 23, 2009 11:59:13 UTC 2009 年 6 月 23 日 (火) 20 時 59 分 13 秒 (日本時間)
400Dmitry DomanovDecember 9, 2010 18:07:13 UTC 2010 年 12 月 10 日 (金) 3 時 7 分 13 秒 (日本時間)

89×10202+19

c164

name 名前Beyond
date 日付May 27, 2012 14:01:34 UTC 2012 年 5 月 27 日 (日) 23 時 1 分 34 秒 (日本時間)
composite number 合成数
21150621299558047085377771778266095047068947280768390087402711503004833041281128928725628570836480465839611415738214909151792029289948445791391889040197585828014401<164>
prime factors 素因数
363308545780454593139679146766021696873722378987<48>
58216690868425798517131054370977187595908801446281188440123643711484002123222110968711429683810302556367593308277123<116>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 21150621299558047085377771778266095047068947280768390087402711503004833041281128928725628570836480465839611415738214909151792029289948445791391889040197585828014401 (164 digits)
[Sun May 27 07:37:09 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4154729543
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 299288ms
Using 20 small primes for NTT
Estimated memory usage: 608M
Initializing tables of differences for F took 188ms
Computing roots of F took 10982ms
Building F from its roots took 8346ms
Computing 1/F took 3042ms
Initializing table of differences for G took 171ms
Computing roots of G took 9126ms
Building G from its roots took 7972ms
Computing roots of G took 9142ms
Building G from its roots took 7862ms
Computing G * H took 1763ms
Reducing  G * H mod F took 1653ms
Computing roots of G took 9142ms
Building G from its roots took 7956ms
Computing G * H took 1794ms
Reducing  G * H mod F took 1654ms
Computing roots of G took 9126ms
Building G from its roots took 7940ms
Computing G * H took 1732ms
Reducing  G * H mod F took 1685ms
Computing polyeval(F,G) took 16646ms
Computing product of all F(g_i) took 62ms
Step 2 took 118623ms
********** Factor found in step 2: 363308545780454593139679146766021696873722378987
Found probable prime factor of 48 digits: 363308545780454593139679146766021696873722378987
Probable prime cofactor 58216690868425798517131054370977187595908801446281188440123643711484002123222110968711429683810302556367593308277123 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
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:15:26 UTC 2011 年 1 月 22 日 (土) 2 時 15 分 26 秒 (日本時間)
4511e6600Dmitry DomanovApril 21, 2011 06:14:35 UTC 2011 年 4 月 21 日 (木) 15 時 14 分 35 秒 (日本時間)
5043e61120 / 5442560Dmitry DomanovOctober 2, 2011 19:46:28 UTC 2011 年 10 月 3 日 (月) 4 時 46 分 28 秒 (日本時間)
560Dmitry DomanovOctober 8, 2011 22:54:58 UTC 2011 年 10 月 9 日 (日) 7 時 54 分 58 秒 (日本時間)
5511e7815 / 17330yoyo@homeMay 26, 2012 04:35:07 UTC 2012 年 5 月 26 日 (土) 13 時 35 分 7 秒 (日本時間)

89×10203+19

c177

name 名前Dmitry Domanov
date 日付April 24, 2011 04:22:29 UTC 2011 年 4 月 24 日 (日) 13 時 22 分 29 秒 (日本時間)
composite number 合成数
121124001728400961710007834505966968650537924163586673328901868828963183274256389906054266565905793264191296754170948931927040471598094504518129782667177746868682608075312655133<177>
prime factors 素因数
412494275521500033822492333623963522471<39>
293638018552545305273111551553156796886831250314200063137192576795881747182994978587775566129874821962675471985826661245672750842605607323<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2905400789
Step 1 took 96262ms
Step 2 took 43038ms
********** Factor found in step 2: 412494275521500033822492333623963522471
Found probable prime factor of 39 digits: 412494275521500033822492333623963522471
Probable prime cofactor 293638018552545305273111551553156796886831250314200063137192576795881747182994978587775566129874821962675471985826661245672750842605607323 has 138 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:15:37 UTC 2011 年 1 月 22 日 (土) 2 時 15 分 37 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovApril 23, 2011 22:18:41 UTC 2011 年 4 月 24 日 (日) 7 時 18 分 41 秒 (日本時間)

89×10206+19

c202

name 名前matsui
date 日付February 3, 2012 08:52:27 UTC 2012 年 2 月 3 日 (金) 17 時 52 分 27 秒 (日本時間)
composite number 合成数
8805542940873252619154331486148089444528542326464020452604907160885184624532638388011797448767075580250651263892228069498489700977613143806388866627684824883474964060522772222370630249315591648387744663<202>
prime factors 素因数
3984044791851281065679397570957905387457388492398630920985345218715533<70>
2210201792631339340219935306191371964603619103536173980745461521027858771266980530020434731312177928204440506424077140570710773138611<133>
factorization results 素因数分解の結果
N=8805542940873252619154331486148089444528542326464020452604907160885184624532638388011797448767075580250651263892228069498489700977613143806388866627684824883474964060522772222370630249315591648387744663
  ( 202 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=3984044791851281065679397570957905387457388492398630920985345218715533 (pp70)
 r2=2210201792631339340219935306191371964603619103536173980745461521027858771266980530020434731312177928204440506424077140570710773138611 (pp133)
Version: Msieve v. 1.50 (SVN exported)
Total time:
Scaled time: 40.36 units (timescale=0.594).
Factorization parameters were as follows:
n: 8805542940873252619154331486148089444528542326464020452604907160885184624532638388011797448767075580250651263892228069498489700977613143806388866627684824883474964060522772222370630249315591648387744663
m: 100000000000000000000000000000000000000000
deg: 5
c5: 890
c0: 1
skew: 0.26
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 16000
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, 24208001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3989625 x 3989853
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,207.000,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:15:47 UTC 2011 年 1 月 22 日 (土) 2 時 15 分 47 秒 (日本時間)
4511e645501150Serge BatalovJanuary 21, 2011 23:39:23 UTC 2011 年 1 月 22 日 (土) 8 時 39 分 23 秒 (日本時間)
3400Wataru SakaiOctober 1, 2011 02:21:32 UTC 2011 年 10 月 1 日 (土) 11 時 21 分 32 秒 (日本時間)
5043e6120Dmitry DomanovSeptember 29, 2011 21:49:42 UTC 2011 年 9 月 30 日 (金) 6 時 49 分 42 秒 (日本時間)
5511e72665 / 17439yoyo@homeMay 26, 2012 06:05:07 UTC 2012 年 5 月 26 日 (土) 15 時 5 分 7 秒 (日本時間)

89×10207+19

c195

name 名前Dmitry Domanov
date 日付October 2, 2011 10:51:50 UTC 2011 年 10 月 2 日 (日) 19 時 51 分 50 秒 (日本時間)
composite number 合成数
120044169248046374570318323424200962490563918643871016742307964284148587648793792784058389319561269339993894818057124096574458390586188889929699702567566099259548588027611364574942769166113418773<195>
prime factors 素因数
1560448761559484592896031247674446768526419<43>
composite cofactor 合成数の残り
76929260482783412961622711907769609345252137083814556656934657169017577444614888425554831001226339080005709014889332960257688838408018061884979502917367<152>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1327274620
Step 1 took 396623ms
Step 2 took 100965ms
********** Factor found in step 2: 1560448761559484592896031247674446768526419
Found probable prime factor of 43 digits: 1560448761559484592896031247674446768526419
Composite cofactor 76929260482783412961622711907769609345252137083814556656934657169017577444614888425554831001226339080005709014889332960257688838408018061884979502917367 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:15:55 UTC 2011 年 1 月 22 日 (土) 2 時 15 分 55 秒 (日本時間)
4511e6600Dmitry DomanovApril 24, 2011 21:40:14 UTC 2011 年 4 月 25 日 (月) 6 時 40 分 14 秒 (日本時間)
5043e61200640Dmitry DomanovOctober 1, 2011 07:51:33 UTC 2011 年 10 月 1 日 (土) 16 時 51 分 33 秒 (日本時間)
560Dmitry DomanovOctober 2, 2011 19:45:50 UTC 2011 年 10 月 3 日 (月) 4 時 45 分 50 秒 (日本時間)
5511e72595 / 173012585yoyo@homeMay 29, 2012 19:20:26 UTC 2012 年 5 月 30 日 (水) 4 時 20 分 26 秒 (日本時間)
10KTakahashiApril 12, 2014 06:56:37 UTC 2014 年 4 月 12 日 (土) 15 時 56 分 37 秒 (日本時間)

89×10208+19

c169

composite cofactor 合成数の残り
1536929751620223959178261420943659482799621286147356170549891875173684147115317104194475326556537335865730968108674276166889184291032032302224235839176127477449821900229<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:16:10 UTC 2011 年 1 月 22 日 (土) 2 時 16 分 10 秒 (日本時間)
4511e6600Dmitry DomanovApril 23, 2011 22:19:27 UTC 2011 年 4 月 24 日 (日) 7 時 19 分 27 秒 (日本時間)
5043e61120700Dmitry DomanovOctober 1, 2011 07:50:48 UTC 2011 年 10 月 1 日 (土) 16 時 50 分 48 秒 (日本時間)
420Dmitry DomanovOctober 2, 2011 19:45:05 UTC 2011 年 10 月 3 日 (月) 4 時 45 分 5 秒 (日本時間)
5511e72624 / 173302620yoyo@homeMay 29, 2012 20:25:07 UTC 2012 年 5 月 30 日 (水) 5 時 25 分 7 秒 (日本時間)
4KTakahashiApril 12, 2014 04:08:18 UTC 2014 年 4 月 12 日 (土) 13 時 8 分 18 秒 (日本時間)

89×10209+19

c199

name 名前Dmitry Domanov
date 日付April 24, 2011 04:21:22 UTC 2011 年 4 月 24 日 (日) 13 時 21 分 22 秒 (日本時間)
composite number 合成数
1868789968383736897147681322348368050337561741791296729312267972430574536701325480230621332563578797430219539012445025042868392095390133205825397523047107111927677484314121052039181416023370016493519<199>
prime factors 素因数
13756406956347458206287946026996143<35>
135848697578799307539211918511982075362780105781002172938251967796011653138172415972059660159430920917592982417727785588482555828960961425098563083066945424210545633<165>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2584718580
Step 1 took 109174ms
Step 2 took 46082ms
********** Factor found in step 2: 13756406956347458206287946026996143
Found probable prime factor of 35 digits: 13756406956347458206287946026996143
Probable prime cofactor 135848697578799307539211918511982075362780105781002172938251967796011653138172415972059660159430920917592982417727785588482555828960961425098563083066945424210545633 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:16:33 UTC 2011 年 1 月 22 日 (土) 2 時 16 分 33 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovApril 23, 2011 22:16:53 UTC 2011 年 4 月 24 日 (日) 7 時 16 分 53 秒 (日本時間)

89×10210+19

c204

name 名前Wataru Sakai
date 日付August 31, 2011 05:14:39 UTC 2011 年 8 月 31 日 (水) 14 時 14 分 39 秒 (日本時間)
composite number 合成数
120678940205737009833789207521562543541453155621200560009401675889052972925217388229304581762949470967051751673325710248072009183282261802446793173911544807357611118452865288009572231842028685554935740383<204>
prime factors 素因数
23496508763667483344077826191883375504838247<44>
composite cofactor 合成数の残り
5136037077659050458733278094297472232290567860412981861236474291764308200365851928773206261810305384064277383969146215380968356259100808220456750424272996921289<160>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3378403208
Step 1 took 57689ms
Step 2 took 20237ms
********** Factor found in step 2: 23496508763667483344077826191883375504838247
Found probable prime factor of 44 digits: 23496508763667483344077826191883375504838247
Composite cofactor 5136037077659050458733278094297472232290567860412981861236474291764308200365851928773206261810305384064277383969146215380968356259100808220456750424272996921289 has 160 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:16:50 UTC 2011 年 1 月 22 日 (土) 2 時 16 分 50 秒 (日本時間)
4511e65100600Dmitry DomanovJanuary 22, 2011 00:15:55 UTC 2011 年 1 月 22 日 (土) 9 時 15 分 55 秒 (日本時間)
500Serge BatalovJune 26, 2011 15:55:23 UTC 2011 年 6 月 27 日 (月) 0 時 55 分 23 秒 (日本時間)
4000Wataru SakaiAugust 31, 2011 05:14:18 UTC 2011 年 8 月 31 日 (水) 14 時 14 分 18 秒 (日本時間)
5043e60--
5511e72742 / 174482665yoyo@homeMay 29, 2012 22:30:07 UTC 2012 年 5 月 30 日 (水) 7 時 30 分 7 秒 (日本時間)
77KTakahashiSeptember 3, 2014 10:09:40 UTC 2014 年 9 月 3 日 (水) 19 時 9 分 40 秒 (日本時間)

89×10211+19

c141

name 名前Bryan Koen
date 日付June 23, 2011 18:27:18 UTC 2011 年 6 月 24 日 (金) 3 時 27 分 18 秒 (日本時間)
composite number 合成数
181706793243978582779136929974880379326392900379200677207446068443802836280788957122507370672440775365520965176506580125362169244854506576003<141>
prime factors 素因数
12283934613220384995626558895553640179199268402442488111451783<62>
14792230581268285126712524304756084562019285507138302777871873991818603116546341<80>
factorization results 素因数分解の結果
Number: 98889_211
N = 181706793243978582779136929974880379326392900379200677207446068443802836280788957122507370672440775365520965176506580125362169244854506576003 (141 digits)
Divisors found:
r1=12283934613220384995626558895553640179199268402442488111451783 (pp62)
r2=14792230581268285126712524304756084562019285507138302777871873991818603116546341 (pp80)
Version: Msieve v. 1.48
Total time: 141.78 hours.
Factorization parameters were as follows:
n: 181706793243978582779136929974880379326392900379200677207446068443802836280788957122507370672440775365520965176506580125362169244854506576003
Y0: -2352879886880908727848564809
Y1: 3553816199518477
c0: -14603211236483329322186519140557245680
c1: 3919198611220082872546332398852
c2: 4313513041558414978910440
c3: 41603799591942181
c4: -108190059918
c5: 2520
skew: 6558621.45
type: gnfs
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23182891
Relations: 3358988 relations
Pruned matrix : 2060378 x 2060609
Polynomial selection time: 64.49 hours.
Total sieving time: 73.81 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.02 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,12900000,12900000,28,28,56,56,2.5,2.5,100000
total time: 141.78 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.41GHz
software ソフトウェア
GGNFS
execution environment 実行環境
Windows 7
Core i7 3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:17:01 UTC 2011 年 1 月 22 日 (土) 2 時 17 分 1 秒 (日本時間)
4511e64600600Dmitry DomanovJanuary 22, 2011 00:14:09 UTC 2011 年 1 月 22 日 (土) 9 時 14 分 9 秒 (日本時間)
4000Wataru SakaiMay 1, 2011 08:25:19 UTC 2011 年 5 月 1 日 (日) 17 時 25 分 19 秒 (日本時間)

89×10212+19

c193

name 名前Dmitry Domanov
date 日付September 7, 2011 06:06:51 UTC 2011 年 9 月 7 日 (水) 15 時 6 分 51 秒 (日本時間)
composite number 合成数
2253614297171256021972549932900782136732009640455578093113159721392934478025553345006759284769510562177159059289729704160484384380631129086290734773333293179159630842013992558246921814610298041<193>
prime factors 素因数
75961510249742180482255951812219076300859<41>
composite cofactor 合成数の残り
29667844804058578751235894253115612811463175144975650701622629266228142748463133650663165270830295340865189613763137596556041903521124671504482819507099<152>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3107745991
Step 1 took 346916ms
Step 2 took 93372ms
********** Factor found in step 2: 75961510249742180482255951812219076300859
Found probable prime factor of 41 digits: 75961510249742180482255951812219076300859
Composite cofactor 29667844804058578751235894253115612811463175144975650701622629266228142748463133650663165270830295340865189613763137596556041903521124671504482819507099 has 152 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:17:12 UTC 2011 年 1 月 22 日 (土) 2 時 17 分 12 秒 (日本時間)
4511e6600Dmitry DomanovApril 23, 2011 16:05:01 UTC 2011 年 4 月 24 日 (日) 1 時 5 分 1 秒 (日本時間)
5043e61090660Dmitry DomanovSeptember 6, 2011 22:22:25 UTC 2011 年 9 月 7 日 (水) 7 時 22 分 25 秒 (日本時間)
430Dmitry DomanovOctober 1, 2011 07:50:13 UTC 2011 年 10 月 1 日 (土) 16 時 50 分 13 秒 (日本時間)
5511e72635 / 17341yoyo@homeMay 30, 2012 00:21:32 UTC 2012 年 5 月 30 日 (水) 9 時 21 分 32 秒 (日本時間)

89×10213+19

c206

composite cofactor 合成数の残り
89513179145554643919143091261344378583765103924564632965355013256353688955133469133676838448502100993497824018596437394177255600535123463350511948350404819178756630943958344130860567765862256079968716732999<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:17:23 UTC 2011 年 1 月 22 日 (土) 2 時 17 分 23 秒 (日本時間)
4511e62725600Dmitry DomanovJanuary 22, 2011 00:15:41 UTC 2011 年 1 月 22 日 (土) 9 時 15 分 41 秒 (日本時間)
500Serge BatalovJune 26, 2011 15:55:55 UTC 2011 年 6 月 27 日 (月) 0 時 55 分 55 秒 (日本時間)
200Serge BatalovJune 28, 2011 00:56:26 UTC 2011 年 6 月 28 日 (火) 9 時 56 分 26 秒 (日本時間)
1425Wataru SakaiAugust 29, 2011 12:42:11 UTC 2011 年 8 月 29 日 (月) 21 時 42 分 11 秒 (日本時間)
5043e6480Dmitry DomanovJune 19, 2011 21:34:23 UTC 2011 年 6 月 20 日 (月) 6 時 34 分 23 秒 (日本時間)
5511e72719 / 174252690yoyo@homeMay 30, 2012 02:45:09 UTC 2012 年 5 月 30 日 (水) 11 時 45 分 9 秒 (日本時間)
29KTakahashiApril 21, 2014 20:29:52 UTC 2014 年 4 月 22 日 (火) 5 時 29 分 52 秒 (日本時間)

89×10214+19

c177

composite cofactor 合成数の残り
406551032355665919672989076588632918119692185033553511012007316697400178648171660013932563067075748298136837557506936416191182238208311135717350229519482080456193789805136522541<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:17:33 UTC 2011 年 1 月 22 日 (土) 2 時 17 分 33 秒 (日本時間)
4511e6600Dmitry DomanovApril 23, 2011 22:17:31 UTC 2011 年 4 月 24 日 (日) 7 時 17 分 31 秒 (日本時間)
5043e61080480Dmitry DomanovSeptember 7, 2011 21:57:42 UTC 2011 年 9 月 8 日 (木) 6 時 57 分 42 秒 (日本時間)
300Dmitry DomanovSeptember 17, 2011 20:56:01 UTC 2011 年 9 月 18 日 (日) 5 時 56 分 1 秒 (日本時間)
300Dmitry DomanovOctober 1, 2011 07:48:50 UTC 2011 年 10 月 1 日 (土) 16 時 48 分 50 秒 (日本時間)
5511e72636 / 173421Dmitry DomanovOctober 1, 2011 07:48:50 UTC 2011 年 10 月 1 日 (土) 16 時 48 分 50 秒 (日本時間)
2635yoyo@homeMay 30, 2012 04:35:07 UTC 2012 年 5 月 30 日 (水) 13 時 35 分 7 秒 (日本時間)
6026e71 / 40885Dmitry DomanovOctober 1, 2011 07:48:50 UTC 2011 年 10 月 1 日 (土) 16 時 48 分 50 秒 (日本時間)

89×10215+19

c169

name 名前Dmitry Domanov
date 日付January 21, 2011 00:01:24 UTC 2011 年 1 月 21 日 (金) 9 時 1 分 24 秒 (日本時間)
composite number 合成数
8786902684234650858286792452491109411862356302804009733135383945158267357735239327868999856232442034491628596145557744970520019817359676513875963277528433227381384230297<169>
prime factors 素因数
280141946452963475338793080721<30>
31365894309976151748909174873554198580106349038088781733390786534549309594277471934734800313449405296213932526073086013599959490295317285257<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=342364135
Step 1 took 28348ms
Step 2 took 15839ms
********** Factor found in step 2: 280141946452963475338793080721
Found probable prime factor of 30 digits: 280141946452963475338793080721
Probable prime cofactor 31365894309976151748909174873554198580106349038088781733390786534549309594277471934734800313449405296213932526073086013599959490295317285257 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)

89×10216+19

c175

name 名前Grzegorz Roman Granowski
date 日付June 1, 2012 05:18:00 UTC 2012 年 6 月 1 日 (金) 14 時 18 分 0 秒 (日本時間)
composite number 合成数
5085788952294848021991369044743759485335365796905884547725499238018015681283966470415682535834263961399726721589042780226250673802278896417667314166346208816072691050139296479<175>
prime factors 素因数
328308733013961374731852802120643214788874219896287982589<57>
15490873196110120337179277389683806178438999305059872633864620293583848924463912300254390149513692464351595227149792011<119>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 5085788952294848021991369044743759485335365796905884547725499238018015681283966470415682535834263961399726721589042780226250673802278896417667314166346208816072691050139296479 (175 digits)
[Fri Jun 01 03:49:08 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1470777761
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1145187ms
Using 22 small primes for NTT
Estimated memory usage: 664M
Initializing tables of differences for F took 733ms
Computing roots of F took 33712ms
Building F from its roots took 16910ms
Computing 1/F took 6349ms
Initializing table of differences for G took 593ms
Computing roots of G took 27347ms
Building G from its roots took 16926ms
Computing roots of G took 28111ms
Building G from its roots took 16942ms
Computing G * H took 3588ms
Reducing  G * H mod F took 3541ms
Computing roots of G took 26598ms
Building G from its roots took 16599ms
Computing G * H took 3604ms
Reducing  G * H mod F took 3557ms
Computing roots of G took 28111ms
Building G from its roots took 16989ms
Computing G * H took 3588ms
Reducing  G * H mod F took 3542ms
Computing polyeval(F,G) took 37534ms
Computing product of all F(g_i) took 156ms
Step 2 took 295794ms
********** Factor found in step 2: 328308733013961374731852802120643214788874219896287982589
Found probable prime factor of 57 digits: 328308733013961374731852802120643214788874219896287982589
Probable prime cofactor 15490873196110120337179277389683806178438999305059872633864620293583848924463912300254390149513692464351595227149792011 has 119 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
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:17:41 UTC 2011 年 1 月 22 日 (土) 2 時 17 分 41 秒 (日本時間)
4511e6600Dmitry DomanovApril 24, 2011 21:32:24 UTC 2011 年 4 月 25 日 (月) 6 時 32 分 24 秒 (日本時間)
5043e61100 / 3079480Dmitry DomanovSeptember 7, 2011 21:58:21 UTC 2011 年 9 月 8 日 (木) 6 時 58 分 21 秒 (日本時間)
300Dmitry DomanovSeptember 17, 2011 20:56:36 UTC 2011 年 9 月 18 日 (日) 5 時 56 分 36 秒 (日本時間)
320Dmitry DomanovOctober 1, 2011 07:49:39 UTC 2011 年 10 月 1 日 (土) 16 時 49 分 39 秒 (日本時間)
5511e71795 / 17337yoyo@homeMay 30, 2012 06:15:08 UTC 2012 年 5 月 30 日 (水) 15 時 15 分 8 秒 (日本時間)

89×10217+19

c206

name 名前Scott O
date 日付May 31, 2012 00:16:30 UTC 2012 年 5 月 31 日 (木) 9 時 16 分 30 秒 (日本時間)
composite number 合成数
34216553349781140226859825156185089878164850587584247088128499864067213849470161324758770317533275550932368521556096431121943492952955673942656072133134320702747464499014654094077582527592574162990462991921<206>
prime factors 素因数
1828596071738999942170362613845406284825334460071<49>
18711925437552265423528061303926697276316663966077165024852236317375097564422446702012730513611675007514595351039698733443711000438379483653905269855975317351<158>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 34216553349781140226859825156185089878164850587584247088128499864067213849470161324758770317533275550932368521556096431121943492952955673942656072133134320702747464499014654094077582527592574162990462991921 (206 digits)
[Wed May 30 12:37:26 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=406193853
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 2256508ms
Using 48 small primes for NTT
Estimated memory usage: 544M
Initializing tables of differences for F took 1420ms
Computing roots of F took 54865ms
Building F from its roots took 24695ms
Computing 1/F took 10639ms
Initializing table of differences for G took 1217ms
Computing roots of G took 45848ms
Building G from its roots took 26614ms
Computing roots of G took 46332ms
Building G from its roots took 26926ms
Computing G * H took 5476ms
Reducing  G * H mod F took 5959ms
Computing roots of G took 46129ms
Building G from its roots took 26911ms
Computing G * H took 5522ms
Reducing  G * H mod F took 5913ms
Computing roots of G took 46083ms
Building G from its roots took 26925ms
Computing G * H took 5553ms
Reducing  G * H mod F took 5913ms
Computing polyeval(F,G) took 48860ms
Computing product of all F(g_i) took 358ms
Step 2 took 469407ms
********** Factor found in step 2: 1828596071738999942170362613845406284825334460071
Found probable prime factor of 49 digits: 1828596071738999942170362613845406284825334460071
Probable prime cofactor 18711925437552265423528061303926697276316663966077165024852236317375097564422446702012730513611675007514595351039698733443711000438379483653905269855975317351 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
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:17:50 UTC 2011 年 1 月 22 日 (土) 2 時 17 分 50 秒 (日本時間)
4511e6600Dmitry DomanovApril 23, 2011 22:15:44 UTC 2011 年 4 月 24 日 (日) 7 時 15 分 44 秒 (日本時間)
5043e61240 / 5068440Dmitry DomanovAugust 7, 2011 20:36:25 UTC 2011 年 8 月 8 日 (月) 5 時 36 分 25 秒 (日本時間)
800Dmitry DomanovSeptember 7, 2011 21:58:55 UTC 2011 年 9 月 8 日 (木) 6 時 58 分 55 秒 (日本時間)
5511e7970 / 17287yoyo@homeMay 30, 2012 09:10:07 UTC 2012 年 5 月 30 日 (水) 18 時 10 分 7 秒 (日本時間)

89×10218+19

c216

name 名前Serge Batalov
date 日付January 21, 2011 06:15:32 UTC 2011 年 1 月 21 日 (金) 15 時 15 分 32 秒 (日本時間)
composite number 合成数
662350226985190146610106422564560541787601399121827788940983850561881372330133214259135223636228324774875344198853910843194165364292624841854580635558532410508297983180769517005283917541117809034754781573267842524373<216>
prime factors 素因数
8011949221525296330291921189123937364553303443933<49>
82670297660610166094417275782701511003459153036200060240892524485506200036400932267569741388790357654505146559960577000640200974106311349559348564218779527714235982681<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=658974453
Step 1 took 18993ms
Step 2 took 12313ms
********** Factor found in step 2: 8011949221525296330291921189123937364553303443933
Found probable prime factor of 49 digits: 8011949221525296330291921189123937364553303443933
Probable prime cofactor has 167 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)

89×10219+19

c182

name 名前Dmitry Domanov
date 日付August 8, 2011 22:21:34 UTC 2011 年 8 月 9 日 (火) 7 時 21 分 34 秒 (日本時間)
composite number 合成数
21313904410529360397688545003596425253105128291253800862943839402437634693230996094553129708019883481303696614474069086560557635222896807381756816787613806320186571872469126256984903<182>
prime factors 素因数
42523358117456072009506749733660189630661<41>
composite cofactor 合成数の残り
501228156808713693739142814594780848023089332959989270258954810043159198918653566057548479342600995558907036830243566390437696059469285997723<141>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2151760168
Step 1 took 336559ms
Step 2 took 90904ms
********** Factor found in step 2: 42523358117456072009506749733660189630661
Found probable prime factor of 41 digits: 42523358117456072009506749733660189630661
Composite cofactor 501228156808713693739142814594780848023089332959989270258954810043159198918653566057548479342600995558907036830243566390437696059469285997723 has 141 digits

c141

name 名前Erik Branger
date 日付November 23, 2011 18:08:10 UTC 2011 年 11 月 24 日 (木) 3 時 8 分 10 秒 (日本時間)
composite number 合成数
501228156808713693739142814594780848023089332959989270258954810043159198918653566057548479342600995558907036830243566390437696059469285997723<141>
prime factors 素因数
365847298128415526367418966352592824953494102199869499<54>
1370047447043816433157509790974505699716568413773766492318477531470318966264761071103777<88>
factorization results 素因数分解の結果
Number: 98889_219
N = 501228156808713693739142814594780848023089332959989270258954810043159198918653566057548479342600995558907036830243566390437696059469285997723 (141 digits)
Divisors found:
r1=365847298128415526367418966352592824953494102199869499 (pp54)
r2=1370047447043816433157509790974505699716568413773766492318477531470318966264761071103777 (pp88)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 523.56 hours.
Factorization parameters were as follows:
# Murphy_E = 1.886e-11, selected by Dmitry Domanov
n: 501228156808713693739142814594780848023089332959989270258954810043159198918653566057548479342600995558907036830243566390437696059469285997723
Y0: -2138007106786696337913394256
Y1: 2656794011900693
c0: -9047563723700490030758221045022721
c1: 59698873404883440642641254714
c2: 137464053515801200304193
c3: -107165735357038800
c4: -64855820738
c5: 11220
skew: 1425341.75
type: gnfs
# selected mechanically
rlim: 19000000
alim: 19000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [9500000, 17200000)
Relations: 23266568
Relations in full relation-set: 3858862 relations
Pruned matrix : 2405640 x 2405865
Polynomial selection time: 0.00 hours.
Total sieving time: 516.36 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 6.64 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19000000,19000000,28,28,56,56,2.6,2.6,100000
total time: 523.56 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:18:01 UTC 2011 年 1 月 22 日 (土) 2 時 18 分 1 秒 (日本時間)
4511e6600Dmitry DomanovApril 23, 2011 16:56:52 UTC 2011 年 4 月 24 日 (日) 1 時 56 分 52 秒 (日本時間)
5043e61100 / 7407500Dmitry DomanovAugust 7, 2011 20:35:19 UTC 2011 年 8 月 8 日 (月) 5 時 35 分 19 秒 (日本時間)
600Dmitry DomanovAugust 10, 2011 17:39:28 UTC 2011 年 8 月 11 日 (木) 2 時 39 分 28 秒 (日本時間)

89×10221+19

c221

name 名前Wataru Sakai
date 日付May 30, 2011 00:30:48 UTC 2011 年 5 月 30 日 (月) 9 時 30 分 48 秒 (日本時間)
composite number 合成数
89898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<221>
prime factors 素因数
11112432481422281702938304515286660476265687<44>
8089947007487573538301392968961286727163143873775135001091344207067312096563780993344206381634412006359292431879337228291847674068748479954545650816227368215995120405081101436077<178>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3531104831
Step 1 took 342508ms
Step 2 took 88578ms
********** Factor found in step 2: 11112432481422281702938304515286660476265687
Found probable prime factor of 44 digits: 11112432481422281702938304515286660476265687
Probable prime cofactor 8089947007487573538301392968961286727163143873775135001091344207067312096563780993344206381634412006359292431879337228291847674068748479954545650816227368215995120405081101436077 has 178 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6330300Dmitry DomanovJanuary 21, 2011 17:26:44 UTC 2011 年 1 月 22 日 (土) 2 時 26 分 44 秒 (日本時間)
30Andreas TeteJanuary 21, 2011 18:41:12 UTC 2011 年 1 月 22 日 (土) 3 時 41 分 12 秒 (日本時間)
4511e61750 / 4402600Dmitry DomanovJanuary 21, 2011 19:52:34 UTC 2011 年 1 月 22 日 (土) 4 時 52 分 34 秒 (日本時間)
1150Serge BatalovJanuary 21, 2011 23:38:41 UTC 2011 年 1 月 22 日 (土) 8 時 38 分 41 秒 (日本時間)

89×10222+19

c220

name 名前Dmitry Domanov
date 日付June 11, 2011 21:43:31 UTC 2011 年 6 月 12 日 (日) 6 時 43 分 31 秒 (日本時間)
composite number 合成数
4432491657951093181931371084217341501070770456696050600129488520344638677224961402460281886548134867274266646745355844414562478211066288161761043876687086010259475073459833657054634194930026395736839484038049703670501519<220>
prime factors 素因数
162186132248915806037548154148577379551351<42>
composite cofactor 合成数の残り
27329658809227345841760180919648318119859486116152166125823346038015935445713039623769492624317924363079033765664998534533633094459517492523090193746835319508151853026758262003369<179>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=215970246
Step 1 took 461167ms
Step 2 took 112890ms
********** Factor found in step 2: 162186132248915806037548154148577379551351
Found probable prime factor of 42 digits: 162186132248915806037548154148577379551351
Composite cofactor 27329658809227345841760180919648318119859486116152166125823346038015935445713039623769492624317924363079033765664998534533633094459517492523090193746835319508151853026758262003369 has 179 digits

c179

name 名前Crystal Pellet
date 日付May 31, 2012 00:16:30 UTC 2012 年 5 月 31 日 (木) 9 時 16 分 30 秒 (日本時間)
composite number 合成数
27329658809227345841760180919648318119859486116152166125823346038015935445713039623769492624317924363079033765664998534533633094459517492523090193746835319508151853026758262003369<179>
prime factors 素因数
227170381999301377785504446580448069006505431<45>
120304674265641695138364515042973407107014913790535509027542097354437341782073654963162341455705783079097042517644388344438360069244799<135>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with MPIR 2.3.0, --enable-asm-redc] [ECM]
Input number is 27329658809227345841760180919648318119859486116152166125823346038015935445713039623769492624317924363079033765664998534533633094459517492523090193746835319508151853026758262003369 (179 digits)
[Thu May 31 00:19:21 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=231937672
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 628450ms
Using 22 small primes for NTT
Estimated memory usage: 515M
Initializing tables of differences for F took 405ms
Computing roots of F took 21107ms
Building F from its roots took 15444ms
Computing 1/F took 6739ms
Initializing table of differences for G took 328ms
Computing roots of G took 17659ms
Building G from its roots took 13946ms
Computing roots of G took 17519ms
Building G from its roots took 13962ms
Computing G * H took 3744ms
Reducing  G * H mod F took 3557ms
Computing roots of G took 17519ms
Building G from its roots took 13962ms
Computing G * H took 3744ms
Reducing  G * H mod F took 3572ms
Computing roots of G took 17160ms
Building G from its roots took 14415ms
Computing G * H took 3806ms
Reducing  G * H mod F took 3604ms
Computing polyeval(F,G) took 26847ms
Computing product of all F(g_i) took 94ms
Step 2 took 219696ms
********** Factor found in step 2: 227170381999301377785504446580448069006505431
Found probable prime factor of 45 digits: 227170381999301377785504446580448069006505431
Probable prime cofactor 120304674265641695138364515042973407107014913790535509027542097354437341782073654963162341455705783079097042517644388344438360069244799 has 135 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
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:26:52 UTC 2011 年 1 月 22 日 (土) 2 時 26 分 52 秒 (日本時間)
4511e6600Dmitry DomanovJanuary 21, 2011 19:52:23 UTC 2011 年 1 月 22 日 (土) 4 時 52 分 23 秒 (日本時間)
5043e61100 / 5406800Dmitry DomanovJune 11, 2011 07:03:21 UTC 2011 年 6 月 11 日 (土) 16 時 3 分 21 秒 (日本時間)
300Dmitry DomanovSeptember 6, 2011 22:19:40 UTC 2011 年 9 月 7 日 (水) 7 時 19 分 40 秒 (日本時間)
5511e7830 / 17337yoyo@homeMay 30, 2012 12:10:08 UTC 2012 年 5 月 30 日 (水) 21 時 10 分 8 秒 (日本時間)

89×10223+19

c144

name 名前Dmitry Domanov
date 日付September 8, 2011 05:55:24 UTC 2011 年 9 月 8 日 (木) 14 時 55 分 24 秒 (日本時間)
composite number 合成数
322116305101752075429803400163191765258993587708870763366518699923576318340612980977450895600443730253152140338978040338330405867371839225484241<144>
prime factors 素因数
223781721044179757976639183632597842981237140201558797<54>
1439421877706261653276235351667015571529277358188475971736999885894442950937865166121444053<91>
factorization results 素因数分解の結果
Wed Sep  7 10:41:17 2011  commencing relation filtering
Wed Sep  7 10:41:18 2011  estimated available RAM is 2006.1 MB
Wed Sep  7 10:41:18 2011  commencing duplicate removal, pass 1
Wed Sep  7 10:48:43 2011  found 3809384 hash collisions in 24903164 relations
Wed Sep  7 10:50:15 2011  added 190 free relations
Wed Sep  7 10:50:15 2011  commencing duplicate removal, pass 2
Wed Sep  7 10:50:48 2011  found 3392117 duplicates and 21511237 unique relations
Wed Sep  7 10:50:48 2011  memory use: 106.6 MB
Wed Sep  7 10:50:48 2011  reading ideals above 17367040
Wed Sep  7 10:50:59 2011  commencing singleton removal, initial pass
Wed Sep  7 10:58:07 2011  memory use: 689.0 MB
Wed Sep  7 10:58:08 2011  reading all ideals from disk
Wed Sep  7 10:58:10 2011  memory use: 370.7 MB
Wed Sep  7 10:58:14 2011  commencing in-memory singleton removal
Wed Sep  7 10:58:18 2011  begin with 21511237 relations and 20734928 unique ideals
Wed Sep  7 10:58:57 2011  reduce to 10024466 relations and 7558984 ideals in 18 passes
Wed Sep  7 10:58:57 2011  max relations containing the same ideal: 35
Wed Sep  7 10:59:00 2011  reading ideals above 720000
Wed Sep  7 10:59:00 2011  commencing singleton removal, initial pass
Wed Sep  7 11:03:04 2011  memory use: 188.2 MB
Wed Sep  7 11:03:04 2011  reading all ideals from disk
Wed Sep  7 11:03:06 2011  memory use: 329.9 MB
Wed Sep  7 11:03:10 2011  commencing in-memory singleton removal
Wed Sep  7 11:03:14 2011  begin with 10024656 relations and 9668318 unique ideals
Wed Sep  7 11:04:04 2011  reduce to 9990418 relations and 9633125 ideals in 13 passes
Wed Sep  7 11:04:04 2011  max relations containing the same ideal: 160
Wed Sep  7 11:04:23 2011  removing 1088532 relations and 977220 ideals in 111312 cliques
Wed Sep  7 11:04:24 2011  commencing in-memory singleton removal
Wed Sep  7 11:04:27 2011  begin with 8901886 relations and 9633125 unique ideals
Wed Sep  7 11:05:09 2011  reduce to 8814779 relations and 8567472 ideals in 12 passes
Wed Sep  7 11:05:09 2011  max relations containing the same ideal: 143
Wed Sep  7 11:05:25 2011  removing 800603 relations and 689291 ideals in 111312 cliques
Wed Sep  7 11:05:26 2011  commencing in-memory singleton removal
Wed Sep  7 11:05:29 2011  begin with 8014176 relations and 8567472 unique ideals
Wed Sep  7 11:05:54 2011  reduce to 7958548 relations and 7821842 ideals in 8 passes
Wed Sep  7 11:05:54 2011  max relations containing the same ideal: 136
Wed Sep  7 11:06:12 2011  relations with 0 large ideals: 503
Wed Sep  7 11:06:12 2011  relations with 1 large ideals: 490
Wed Sep  7 11:06:12 2011  relations with 2 large ideals: 9932
Wed Sep  7 11:06:12 2011  relations with 3 large ideals: 88751
Wed Sep  7 11:06:12 2011  relations with 4 large ideals: 425690
Wed Sep  7 11:06:12 2011  relations with 5 large ideals: 1196173
Wed Sep  7 11:06:12 2011  relations with 6 large ideals: 2064286
Wed Sep  7 11:06:12 2011  relations with 7+ large ideals: 4172723
Wed Sep  7 11:06:12 2011  commencing 2-way merge
Wed Sep  7 11:06:33 2011  reduce to 4774659 relation sets and 4637953 unique ideals
Wed Sep  7 11:06:33 2011  commencing full merge
Wed Sep  7 11:10:13 2011  memory use: 548.3 MB
Wed Sep  7 11:10:14 2011  found 2480535 cycles, need 2462153
Wed Sep  7 11:10:16 2011  weight of 2462153 cycles is about 172455475 (70.04/cycle)
Wed Sep  7 11:10:16 2011  distribution of cycle lengths:
Wed Sep  7 11:10:16 2011  1 relations: 345646
Wed Sep  7 11:10:16 2011  2 relations: 319537
Wed Sep  7 11:10:16 2011  3 relations: 314048
Wed Sep  7 11:10:16 2011  4 relations: 275482
Wed Sep  7 11:10:16 2011  5 relations: 232365
Wed Sep  7 11:10:16 2011  6 relations: 197543
Wed Sep  7 11:10:16 2011  7 relations: 163765
Wed Sep  7 11:10:16 2011  8 relations: 133651
Wed Sep  7 11:10:16 2011  9 relations: 108455
Wed Sep  7 11:10:16 2011  10+ relations: 371661
Wed Sep  7 11:10:16 2011  heaviest cycle: 22 relations
Wed Sep  7 11:10:18 2011  commencing cycle optimization
Wed Sep  7 11:10:29 2011  start with 13243668 relations
Wed Sep  7 11:11:20 2011  pruned 271884 relations
Wed Sep  7 11:11:21 2011  memory use: 456.9 MB
Wed Sep  7 11:11:21 2011  distribution of cycle lengths:
Wed Sep  7 11:11:21 2011  1 relations: 345646
Wed Sep  7 11:11:21 2011  2 relations: 326866
Wed Sep  7 11:11:21 2011  3 relations: 324452
Wed Sep  7 11:11:21 2011  4 relations: 280158
Wed Sep  7 11:11:21 2011  5 relations: 236169
Wed Sep  7 11:11:21 2011  6 relations: 197776
Wed Sep  7 11:11:21 2011  7 relations: 163162
Wed Sep  7 11:11:21 2011  8 relations: 131887
Wed Sep  7 11:11:21 2011  9 relations: 106639
Wed Sep  7 11:11:21 2011  10+ relations: 349398
Wed Sep  7 11:11:21 2011  heaviest cycle: 22 relations
Wed Sep  7 11:11:30 2011  RelProcTime: 1813
Wed Sep  7 11:11:32 2011
Wed Sep  7 11:11:32 2011  commencing linear algebra
Wed Sep  7 11:11:33 2011  read 2462153 cycles
Wed Sep  7 11:11:45 2011  cycles contain 7800935 unique relations
Wed Sep  7 11:14:09 2011  read 7800935 relations
Wed Sep  7 11:14:37 2011  using 20 quadratic characters above 268435172
Wed Sep  7 11:16:41 2011  building initial matrix
Wed Sep  7 11:20:17 2011  memory use: 1027.6 MB
Wed Sep  7 11:20:23 2011  read 2462153 cycles
Wed Sep  7 11:20:24 2011  matrix is 2461973 x 2462153 (752.7 MB) with weight 234395886 (95.20/col)
Wed Sep  7 11:20:24 2011  sparse part has weight 167765312 (68.14/col)
Wed Sep  7 11:22:25 2011  filtering completed in 2 passes
Wed Sep  7 11:22:27 2011  matrix is 2458506 x 2458685 (752.4 MB) with weight 234265681 (95.28/col)
Wed Sep  7 11:22:27 2011  sparse part has weight 167732055 (68.22/col)
Wed Sep  7 11:22:46 2011  matrix starts at (0, 0)
Wed Sep  7 11:22:48 2011  matrix is 2458506 x 2458685 (752.4 MB) with weight 234265681 (95.28/col)
Wed Sep  7 11:22:48 2011  sparse part has weight 167732055 (68.22/col)
Wed Sep  7 11:22:48 2011  saving the first 48 matrix rows for later
Wed Sep  7 11:22:49 2011  matrix includes 64 packed rows
Wed Sep  7 11:22:50 2011  matrix is 2458458 x 2458685 (724.2 MB) with weight 188166236 (76.53/col)
Wed Sep  7 11:22:50 2011  sparse part has weight 165257115 (67.21/col)
Wed Sep  7 11:22:50 2011  using block size 65536 for processor cache size 2048 kB
Wed Sep  7 11:23:09 2011  commencing Lanczos iteration (8 threads)
Wed Sep  7 11:23:09 2011  memory use: 701.1 MB
Wed Sep  7 11:23:54 2011  linear algebra at 0.1%, ETA 19h20m
Wed Sep  7 11:24:08 2011  checkpointing every 130000 dimensions
Thu Sep  8 06:30:34 2011  lanczos halted after 38883 iterations (dim = 2458458)
Thu Sep  8 06:30:43 2011  recovered 30 nontrivial dependencies
Thu Sep  8 06:30:43 2011  BLanczosTime: 69551
Thu Sep  8 06:30:43 2011
Thu Sep  8 06:30:43 2011  commencing square root phase
Thu Sep  8 06:30:43 2011  reading relations for dependency 1
Thu Sep  8 06:30:44 2011  read 1228187 cycles
Thu Sep  8 06:30:50 2011  cycles contain 3898710 unique relations
Thu Sep  8 06:32:08 2011  read 3898710 relations
Thu Sep  8 06:33:01 2011  multiplying 3898710 relations
Thu Sep  8 06:45:43 2011  multiply complete, coefficients have about 187.43 million bits
Thu Sep  8 06:45:47 2011  initial square root is modulo 5328119
Thu Sep  8 07:01:53 2011  sqrtTime: 1870


 nfs: commencing gnfs on c144: 322116305101752075429803400163191765258993587708870763366518699923576318340612980977450895600443730253152140338978040338330405867371839225484241
 nfs: commencing poly selection with 8 threads
 nfs: setting deadline of 39937 seconds
 nfs: completed 84 ranges of size 250 in 39717.6968 seconds
 nfs: best poly = # norm 6.545634e-14 alpha -7.793781 e 1.267e-11 rroots 5
 nfs: commencing lattice sieving with 8 threads
 nfs: commencing lattice sieving with 8 threads
 nfs: commencing lattice sieving with 8 threads
 nfs: commencing lattice sieving with 8 threads
 nfs: commencing lattice sieving with 8 threads
 nfs: commencing msieve filtering
 nfs: commencing lattice sieving with 8 threads
 nfs: commencing msieve filtering
 nfs: commencing lattice sieving with 8 threads
 nfs: commencing msieve filtering
 nfs: commencing lattice sieving with 8 threads
 nfs: commencing msieve filtering
 nfs: commencing msieve linear algebra
 nfs: commencing msieve sqrt
 prp54 = 223781721044179757976639183632597842981237140201558797
 prp91 = 1439421877706261653276235351667015571529277358188475971736999885894442950937865166121444053
 NFS elapsed time = 846039.5015 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:27:03 UTC 2011 年 1 月 22 日 (土) 2 時 27 分 3 秒 (日本時間)
4511e64600600Dmitry DomanovJanuary 22, 2011 00:12:43 UTC 2011 年 1 月 22 日 (土) 9 時 12 分 43 秒 (日本時間)
4000Wataru SakaiMay 16, 2011 00:32:05 UTC 2011 年 5 月 16 日 (月) 9 時 32 分 5 秒 (日本時間)

89×10224+19

c213

name 名前Dmitry Domanov
date 日付January 20, 2011 19:22:07 UTC 2011 年 1 月 21 日 (金) 4 時 22 分 7 秒 (日本時間)
composite number 合成数
305951860945106602022955758963600210429006639466009279816998139704015581067629323942347213879473675864449199315887533217775499774893313060788642800218433970208568106774379902470722796410408475409127389849140547381<213>
prime factors 素因数
2409345538248543347880416070379<31>
composite cofactor 合成数の残り
126985463931220150990788470994700964809856266182466493546593725603842672241362608274040929608453164181847553489651487141752289284859216771024438906258080917020004416585388254360569439<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=376978524
Step 1 took 58695ms
Step 2 took 21747ms
********** Factor found in step 2: 2409345538248543347880416070379
Found probable prime factor of 31 digits: 2409345538248543347880416070379
Composite cofactor 126985463931220150990788470994700964809856266182466493546593725603842672241362608274040929608453164181847553489651487141752289284859216771024438906258080917020004416585388254360569439 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:27:14 UTC 2011 年 1 月 22 日 (土) 2 時 27 分 14 秒 (日本時間)
4511e6600Dmitry DomanovApril 23, 2011 14:08:36 UTC 2011 年 4 月 23 日 (土) 23 時 8 分 36 秒 (日本時間)
5043e61100500Dmitry DomanovAugust 7, 2011 20:31:17 UTC 2011 年 8 月 8 日 (月) 5 時 31 分 17 秒 (日本時間)
480Dmitry DomanovSeptember 5, 2011 20:40:31 UTC 2011 年 9 月 6 日 (火) 5 時 40 分 31 秒 (日本時間)
120Dmitry DomanovSeptember 6, 2011 22:20:16 UTC 2011 年 9 月 7 日 (水) 7 時 20 分 16 秒 (日本時間)
5511e72631 / 173372630yoyo@homeMay 30, 2012 13:50:09 UTC 2012 年 5 月 30 日 (水) 22 時 50 分 9 秒 (日本時間)
1KTakahashiApril 11, 2014 12:40:28 UTC 2014 年 4 月 11 日 (金) 21 時 40 分 28 秒 (日本時間)

89×10226+19

c168

name 名前Dmitry Domanov
date 日付January 20, 2011 18:29:32 UTC 2011 年 1 月 21 日 (金) 3 時 29 分 32 秒 (日本時間)
composite number 合成数
112572106189739054784459434939387583469058448296205996404921065769429396023191131792496510944660469953678418920877129035303827354942068314534760533712738870396966349183<168>
prime factors 素因数
676654088770796084318250209671<30>
composite cofactor 合成数の残り
166365810918598838294424156952948435972483047518672612218442772097894337388389535916735240624165137755364953094447396879225825454568179273<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2296030492
Step 1 took 27390ms
Step 2 took 15736ms
********** Factor found in step 2: 676654088770796084318250209671
Found probable prime factor of 30 digits: 676654088770796084318250209671
Composite cofactor 166365810918598838294424156952948435972483047518672612218442772097894337388389535916735240624165137755364953094447396879225825454568179273 has 138 digits

c138

name 名前Dmitry Domanov
date 日付August 26, 2011 18:13:09 UTC 2011 年 8 月 27 日 (土) 3 時 13 分 9 秒 (日本時間)
composite number 合成数
166365810918598838294424156952948435972483047518672612218442772097894337388389535916735240624165137755364953094447396879225825454568179273<138>
prime factors 素因数
144639833251691145488601327482786074273055267147135262363769944323<66>
1150207430266473085745024426164383202346121699342268552366032903247475651<73>
factorization results 素因数分解の結果
N=166365810918598838294424156952948435972483047518672612218442772097894337388389535916735240624165137755364953094447396879225825454568179273
  ( 138 digits)
Divisors found:
 r1=144639833251691145488601327482786074273055267147135262363769944323 (pp66)
 r2=1150207430266473085745024426164383202346121699342268552366032903247475651 (pp73)
Version: Msieve-1.40
Total time: 424.87 hours.
Scaled time: 772.84 units (timescale=1.819).
Factorization parameters were as follows:
# Murphy_E = 2.73e-11, selected by Dmitry Domanov
n: 166365810918598838294424156952948435972483047518672612218442772097894337388389535916735240624165137755364953094447396879225825454568179273
Y0: -135618677921316443750301665
Y1: 3561263371381639
c0: 506864285472771714831902473052
c1: 40931675763306898475675920
c2: 1392640399207840293455
c3: 25759027129860156
c4: -626710048796
c5: 3626340
skew: 58328.54
type: gnfs
# selected mechanically
rlim: 15300000
alim: 15300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 360000Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [7650000, 14130001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1956050 x 1956274
Total sieving time: 419.15 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.53 hours.
Time per square root: 0.94 hours.
Prototype def-par.txt line would be:
gnfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15300000,15300000,28,28,55,55,2.6,2.6,100000
total time: 424.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:27:28 UTC 2011 年 1 月 22 日 (土) 2 時 27 分 28 秒 (日本時間)
4511e64600600Dmitry DomanovJanuary 22, 2011 00:14:19 UTC 2011 年 1 月 22 日 (土) 9 時 14 分 19 秒 (日本時間)
4000Wataru SakaiMay 14, 2011 10:00:26 UTC 2011 年 5 月 14 日 (土) 19 時 0 分 26 秒 (日本時間)

89×10227+19

c198

name 名前Beyond
date 日付May 31, 2012 00:16:31 UTC 2012 年 5 月 31 日 (木) 9 時 16 分 31 秒 (日本時間)
composite number 合成数
115407150463565212219323385123000208552626318385887585644256741646729804096814391915001258330483371168689569910228019071890251277619654357855754343467831602998320076970698368053211590283734437193247<198>
prime factors 素因数
10580831259048065935931609040120797813598319290643<50>
composite cofactor 合成数の残り
10907191281864194396371055110482547463001742603338100521624651910885400894202745008699028894445729959400389502700933919241273306510533218866143452229<149>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 115407150463565212219323385123000208552626318385887585644256741646729804096814391915001258330483371168689569910228019071890251277619654357855754343467831602998320076970698368053211590283734437193247 (198 digits)
[Wed May 30 14:47:54 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=948500751
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 450062ms
Using 24 small primes for NTT
Estimated memory usage: 721M
Initializing tables of differences for F took 297ms
Computing roots of F took 14788ms
Building F from its roots took 10530ms
Computing 1/F took 4259ms
Initializing table of differences for G took 249ms
Computing roots of G took 12356ms
Building G from its roots took 10311ms
Computing roots of G took 12340ms
Building G from its roots took 10327ms
Computing G * H took 2371ms
Reducing  G * H mod F took 2278ms
Computing roots of G took 12355ms
Building G from its roots took 10328ms
Computing G * H took 2387ms
Reducing  G * H mod F took 2278ms
Computing roots of G took 12371ms
Building G from its roots took 10280ms
Computing G * H took 2402ms
Reducing  G * H mod F took 2278ms
Computing polyeval(F,G) took 21621ms
Computing product of all F(g_i) took 94ms
Step 2 took 157234ms
********** Factor found in step 2: 10580831259048065935931609040120797813598319290643
Found probable prime factor of 50 digits: 10580831259048065935931609040120797813598319290643
Composite cofactor 10907191281864194396371055110482547463001742603338100521624651910885400894202745008699028894445729959400389502700933919241273306510533218866143452229 has 149 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
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:27:38 UTC 2011 年 1 月 22 日 (土) 2 時 27 分 38 秒 (日本時間)
4511e6600Dmitry DomanovApril 23, 2011 13:45:46 UTC 2011 年 4 月 23 日 (土) 22 時 45 分 46 秒 (日本時間)
5043e61110 / 7190480Dmitry DomanovAugust 7, 2011 20:33:22 UTC 2011 年 8 月 8 日 (月) 5 時 33 分 22 秒 (日本時間)
480Dmitry DomanovSeptember 5, 2011 20:41:11 UTC 2011 年 9 月 6 日 (火) 5 時 41 分 11 秒 (日本時間)
150Dmitry DomanovSeptember 6, 2011 22:21:10 UTC 2011 年 9 月 7 日 (水) 7 時 21 分 10 秒 (日本時間)
5511e790 / 17333yoyo@homeMay 30, 2012 15:35:23 UTC 2012 年 5 月 31 日 (木) 0 時 35 分 23 秒 (日本時間)

89×10229+19

c154

composite cofactor 合成数の残り
9794256256760224166962544576171452463861297973621420077083936064802545829492314121118661363674478164603146082015444186907581827388099754946831247139391469<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:27:51 UTC 2011 年 1 月 22 日 (土) 2 時 27 分 51 秒 (日本時間)
4511e64600600Dmitry DomanovJanuary 22, 2011 00:12:12 UTC 2011 年 1 月 22 日 (土) 9 時 12 分 12 秒 (日本時間)
4000Wataru SakaiMay 6, 2011 05:14:44 UTC 2011 年 5 月 6 日 (金) 14 時 14 分 44 秒 (日本時間)
5043e60--
5511e72773 / 174792710yoyo@homeJuly 31, 2011 18:30:31 UTC 2011 年 8 月 1 日 (月) 3 時 30 分 31 秒 (日本時間)
63KTakahashiAugust 14, 2014 23:10:37 UTC 2014 年 8 月 15 日 (金) 8 時 10 分 37 秒 (日本時間)

89×10230+19

c220

name 名前Dmitry Domanov
date 日付April 23, 2011 16:04:01 UTC 2011 年 4 月 24 日 (日) 1 時 4 分 1 秒 (日本時間)
composite number 合成数
1706712554117338243766225446458372699377874068164531242146897142545825053827744904369444760968722750168999575194268391327431656986434146284975108367711403995244157802757577474425922766204373961704590403848914224192695273<220>
prime factors 素因数
4777041941358387533268500958934751<34>
357273931246251899056906609586912977795051401429786685174448355943346833944496998993985057994407339443758813420498629386105525526958388721046225084827513327989623894672910048797426196023<186>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=931289704
Step 1 took 353048ms
Step 2 took 165379ms
********** Factor found in step 2: 4777041941358387533268500958934751
Found probable prime factor of 34 digits: 4777041941358387533268500958934751
Probable prime cofactor 357273931246251899056906609586912977795051401429786685174448355943346833944496998993985057994407339443758813420498629386105525526958388721046225084827513327989623894672910048797426196023 has 186 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:27:59 UTC 2011 年 1 月 22 日 (土) 2 時 27 分 59 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovApril 23, 2011 13:43:20 UTC 2011 年 4 月 23 日 (土) 22 時 43 分 20 秒 (日本時間)

89×10231+19

c185

name 名前Dmitry Domanov
date 日付January 20, 2011 22:20:03 UTC 2011 年 1 月 21 日 (金) 7 時 20 分 3 秒 (日本時間)
composite number 合成数
19744812240370029542074164517668467199095032221944794001223819187780180085456040428922552275690283894593383233654308296056275646092509469939801276355189627947118143903472651333318484577<185>
prime factors 素因数
2679668171557924047154892760908696555796827<43>
7368379581450435261753856496333003388292150153754435799024101919964769883977224808339172773504175405211383637036800092509028037847341749003251<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1705268611
Step 1 took 43122ms
Step 2 took 18359ms
********** Factor found in step 2: 2679668171557924047154892760908696555796827
Found probable prime factor of 43 digits: 2679668171557924047154892760908696555796827
Probable prime cofactor 7368379581450435261753856496333003388292150153754435799024101919964769883977224808339172773504175405211383637036800092509028037847341749003251 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)

89×10232+19

c170

composite cofactor 合成数の残り
16430096647704944767575752272893313097530226228644745016055471398698121265013925867289316181254386940577006731472551892218733649828079556385000436789144988678501891694709<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:28:09 UTC 2011 年 1 月 22 日 (土) 2 時 28 分 9 秒 (日本時間)
4511e6600Dmitry DomanovApril 23, 2011 13:44:28 UTC 2011 年 4 月 23 日 (土) 22 時 44 分 28 秒 (日本時間)
5043e61088600Dmitry DomanovJuly 21, 2011 07:42:33 UTC 2011 年 7 月 21 日 (木) 16 時 42 分 33 秒 (日本時間)
488Dmitry DomanovSeptember 5, 2011 20:41:52 UTC 2011 年 9 月 6 日 (火) 5 時 41 分 52 秒 (日本時間)
5511e72635 / 17341yoyo@homeJune 3, 2012 05:55:07 UTC 2012 年 6 月 3 日 (日) 14 時 55 分 7 秒 (日本時間)

89×10234+19

c178

name 名前Dmitry Domanov
date 日付April 24, 2011 15:59:41 UTC 2011 年 4 月 25 日 (月) 0 時 59 分 41 秒 (日本時間)
composite number 合成数
1398199733326795184636465464495530230549124960495022476548062261853147427477221027437862603818569939697900294935577303529793369226827302621892919403118149768174307734232997744069<178>
prime factors 素因数
1181086148099951021097806580514590557811137<43>
composite cofactor 合成数の残り
1183825359035935989318999426939929529218883364127177455280580149462756297016307051264612545156559082254486438752441466360891952319436037<136>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=131683853
Step 1 took 256101ms
Step 2 took 142713ms
********** Factor found in step 2: 1181086148099951021097806580514590557811137
Found probable prime factor of 43 digits: 1181086148099951021097806580514590557811137
Composite cofactor 1183825359035935989318999426939929529218883364127177455280580149462756297016307051264612545156559082254486438752441466360891952319436037 has 136 digits

c136

name 名前Dmitry Domanov
date 日付August 23, 2011 20:04:38 UTC 2011 年 8 月 24 日 (水) 5 時 4 分 38 秒 (日本時間)
composite number 合成数
1183825359035935989318999426939929529218883364127177455280580149462756297016307051264612545156559082254486438752441466360891952319436037<136>
prime factors 素因数
21468696431626754438928164939489845696332339195925098235338267683<65>
55141930149609629077840342475295468380874837785405453910492189258950839<71>
factorization results 素因数分解の結果
N=1183825359035935989318999426939929529218883364127177455280580149462756297016307051264612545156559082254486438752441466360891952319436037
  ( 136 digits)
Divisors found:
 r1=21468696431626754438928164939489845696332339195925098235338267683 (pp65)
 r2=55141930149609629077840342475295468380874837785405453910492189258950839 (pp71)
Version: Msieve-1.40
Total time: 267.83 hours.
Scaled time: 474.87 units (timescale=1.773).
Factorization parameters were as follows:
# Murphy_E = 4.01e-11, selected by Dmitry Domanov
n: 1183825359035935989318999426939929529218883364127177455280580149462756297016307051264612545156559082254486438752441466360891952319436037
Y0: -75744069653696152563074663
Y1: 1146068647917571
c0: 45661098473066466227305251935604
c1: 1408961794802356120596546265
c2: 4230694881927147490201
c3: -56612909014254917
c4: -204897281922
c5: 474840
skew: 203380.76
type: gnfs
# selected mechanically
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 360000Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [6700000, 10660001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1876589 x 1876814
Total sieving time: 262.15 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.09 hours.
Time per square root: 1.37 hours.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13400000,13400000,28,28,55,55,2.6,2.6,100000
total time: 267.83 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:28:16 UTC 2011 年 1 月 22 日 (土) 2 時 28 分 16 秒 (日本時間)
4511e64600600Dmitry DomanovApril 23, 2011 13:45:08 UTC 2011 年 4 月 23 日 (土) 22 時 45 分 8 秒 (日本時間)
4000Wataru SakaiMay 11, 2011 04:48:51 UTC 2011 年 5 月 11 日 (水) 13 時 48 分 51 秒 (日本時間)
5043e66600Wataru SakaiMay 21, 2011 00:40:54 UTC 2011 年 5 月 21 日 (土) 9 時 40 分 54 秒 (日本時間)

89×10235+19

c234

composite cofactor 合成数の残り
332959221848110736999625888514777403666292555181444070332959221848110736999625888514777403666292555181444070332959221848110736999625888514777403666292555181444070332959221848110736999625888514777403666292555181444070332959221848110737<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:28:25 UTC 2011 年 1 月 22 日 (土) 2 時 28 分 25 秒 (日本時間)
4511e61750600Dmitry DomanovJanuary 21, 2011 19:51:52 UTC 2011 年 1 月 22 日 (土) 4 時 51 分 52 秒 (日本時間)
1150Serge BatalovJanuary 21, 2011 23:39:54 UTC 2011 年 1 月 22 日 (土) 8 時 39 分 54 秒 (日本時間)
5043e6180Dmitry DomanovApril 13, 2011 21:28:05 UTC 2011 年 4 月 14 日 (木) 6 時 28 分 5 秒 (日本時間)
5511e73305 / 17593200Dmitry DomanovApril 18, 2011 08:06:40 UTC 2011 年 4 月 18 日 (月) 17 時 6 分 40 秒 (日本時間)
100Dmitry DomanovApril 18, 2011 19:20:44 UTC 2011 年 4 月 19 日 (火) 4 時 20 分 44 秒 (日本時間)
2905yoyo@homeJuly 31, 2011 19:21:18 UTC 2011 年 8 月 1 日 (月) 4 時 21 分 18 秒 (日本時間)
100KTakahashiSeptember 18, 2014 01:04:58 UTC 2014 年 9 月 18 日 (木) 10 時 4 分 58 秒 (日本時間)

89×10238+19

c221

name 名前Dmitry Domanov
date 日付July 21, 2011 21:27:04 UTC 2011 年 7 月 22 日 (金) 6 時 27 分 4 秒 (日本時間)
composite number 合成数
16703420990340224460251083999490766200073155400549391960589977299294117258221068860049169501340793956961514429289197835599260013235222591074980821874472374466888328887728733948481828840070589699697815405588533994575074499<221>
prime factors 素因数
491222499557395721403279724105473746543<39>
composite cofactor 合成数の残り
34003778339531357463842033539497779517967416122532893269024072771782364773448288571713276142700668985815398365668436372469387739662086154342386985588401961016233175488670616028922093<182>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3388218595
Step 1 took 469890ms
Step 2 took 119089ms
********** Factor found in step 2: 491222499557395721403279724105473746543
Found probable prime factor of 39 digits: 491222499557395721403279724105473746543
Composite cofactor 34003778339531357463842033539497779517967416122532893269024072771782364773448288571713276142700668985815398365668436372469387739662086154342386985588401961016233175488670616028922093 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:28:41 UTC 2011 年 1 月 22 日 (土) 2 時 28 分 41 秒 (日本時間)
4511e6600Dmitry DomanovApril 22, 2011 21:52:41 UTC 2011 年 4 月 23 日 (土) 6 時 52 分 41 秒 (日本時間)
5043e61140480Dmitry DomanovJuly 21, 2011 07:42:59 UTC 2011 年 7 月 21 日 (木) 16 時 42 分 59 秒 (日本時間)
480Dmitry DomanovSeptember 6, 2011 22:16:19 UTC 2011 年 9 月 7 日 (水) 7 時 16 分 19 秒 (日本時間)
180Dmitry DomanovSeptember 7, 2011 21:54:25 UTC 2011 年 9 月 8 日 (木) 6 時 54 分 25 秒 (日本時間)
5511e72617 / 173232610yoyo@homeJune 3, 2012 09:25:14 UTC 2012 年 6 月 3 日 (日) 18 時 25 分 14 秒 (日本時間)
7KTakahashiApril 12, 2014 04:59:00 UTC 2014 年 4 月 12 日 (土) 13 時 59 分 0 秒 (日本時間)

89×10239+19

c179

name 名前Dmitry Domanov
date 日付September 8, 2011 06:00:05 UTC 2011 年 9 月 8 日 (木) 15 時 0 分 5 秒 (日本時間)
composite number 合成数
14839899376103395995678615240831519272008245108785361310734984469235634429875389609454654502747054421308045599585541800953766040005741921170409405641132141527885521575470046200499<179>
prime factors 素因数
71549531204495373535150030414530153645282395413<47>
composite cofactor 合成数の残り
207407359996385586919897643795316812685310981198246608284313618039620291007023420293669662403350383866276506341109500038954933562023<132>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3852295100
Step 1 took 341791ms
Step 2 took 88814ms
********** Factor found in step 2: 71549531204495373535150030414530153645282395413
Found probable prime factor of 47 digits: 71549531204495373535150030414530153645282395413
Composite cofactor 207407359996385586919897643795316812685310981198246608284313618039620291007023420293669662403350383866276506341109500038954933562023 has 132 digits

c132

name 名前Warut Roonguthai
date 日付September 11, 2011 15:04:46 UTC 2011 年 9 月 12 日 (月) 0 時 4 分 46 秒 (日本時間)
composite number 合成数
207407359996385586919897643795316812685310981198246608284313618039620291007023420293669662403350383866276506341109500038954933562023<132>
prime factors 素因数
75318860854526589519728381762363635887749885144687076702396467<62>
2753724069154195239109759717516083223966263533454613703562284533057469<70>
factorization results 素因数分解の結果
N = 207407359996385586919897643795316812685310981198246608284313618039620291007023420293669662403350383866276506341109500038954933562023 (132 digits)
Divisors found:
r1=75318860854526589519728381762363635887749885144687076702396467 (pp62)
r2=2753724069154195239109759717516083223966263533454613703562284533057469 (pp70)
Version: Msieve v. 1.48
Total time: 48.40 hours.
Factorization parameters were as follows:
n: 207407359996385586919897643795316812685310981198246608284313618039620291007023420293669662403350383866276506341109500038954933562023
Y0: -30452524452729050381754505
Y1: 220773220378577
c0: -9971984409521312792991511815480576
c1: 4594913519869185875568617226
c2: 41456643010297305999985
c3: -14444629393035244
c4: -44072410824
c5: 7920
skew: 1105678.09
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20203345
Relations: 2722840 relations
Pruned matrix : 1548850 x 1549077
Polynomial selection time: 0.00 hours.
Total sieving time: 43.83 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.17 hours.
time per square root: 1.29 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 48.40 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:28:52 UTC 2011 年 1 月 22 日 (土) 2 時 28 分 52 秒 (日本時間)
4511e6600Dmitry DomanovApril 21, 2011 19:22:18 UTC 2011 年 4 月 22 日 (金) 4 時 22 分 18 秒 (日本時間)
5043e61140 / 7407480Dmitry DomanovSeptember 6, 2011 22:16:52 UTC 2011 年 9 月 7 日 (水) 7 時 16 分 52 秒 (日本時間)
660Dmitry DomanovSeptember 7, 2011 21:55:05 UTC 2011 年 9 月 8 日 (木) 6 時 55 分 5 秒 (日本時間)

89×10240+19

c187

composite cofactor 合成数の残り
5486217504754882022594824095426109491617742869417833448866860472717788050025109951616718370856036160138423312889003882346295827121940798519631659287971449102717059650552235320004542207603<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:29:04 UTC 2011 年 1 月 22 日 (土) 2 時 29 分 4 秒 (日本時間)
4511e6600Dmitry DomanovApril 21, 2011 19:21:44 UTC 2011 年 4 月 22 日 (金) 4 時 21 分 44 秒 (日本時間)
5043e61088480Dmitry DomanovJuly 20, 2011 20:27:09 UTC 2011 年 7 月 21 日 (木) 5 時 27 分 9 秒 (日本時間)
480Dmitry DomanovSeptember 6, 2011 22:17:23 UTC 2011 年 9 月 7 日 (水) 7 時 17 分 23 秒 (日本時間)
128Dmitry DomanovSeptember 7, 2011 21:55:47 UTC 2011 年 9 月 8 日 (木) 6 時 55 分 47 秒 (日本時間)
5511e72635 / 17341yoyo@homeJune 3, 2012 11:00:07 UTC 2012 年 6 月 3 日 (日) 20 時 0 分 7 秒 (日本時間)

89×10241+19

c198

name 名前Dmitry Domanov
date 日付July 21, 2011 07:28:47 UTC 2011 年 7 月 21 日 (木) 16 時 28 分 47 秒 (日本時間)
composite number 合成数
915062788846486167039794863877233856073134435542429146702802933664350621118321523077728239584208443058593693426664193269327626412921252623860662332124514973446100765297223473986672908791191217054413<198>
prime factors 素因数
795473016316964106692793113402904224275567<42>
1150337937398834821465952803776306352203597696333078716831167916593444079798845252319159954641964002804575713543150011863078201061646852640015859975067191939<157>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3588773928
Step 1 took 404444ms
Step 2 took 97979ms
********** Factor found in step 2: 795473016316964106692793113402904224275567
Found probable prime factor of 42 digits: 795473016316964106692793113402904224275567
Probable prime cofactor 1150337937398834821465952803776306352203597696333078716831167916593444079798845252319159954641964002804575713543150011863078201061646852640015859975067191939 has 157 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:29:12 UTC 2011 年 1 月 22 日 (土) 2 時 29 分 12 秒 (日本時間)
4511e6600 / 2725Dmitry DomanovApril 21, 2011 19:21:05 UTC 2011 年 4 月 22 日 (金) 4 時 21 分 5 秒 (日本時間)
5043e6480 / 7407Dmitry DomanovJuly 20, 2011 20:26:40 UTC 2011 年 7 月 21 日 (木) 5 時 26 分 40 秒 (日本時間)

89×10242+19

c194

composite cofactor 合成数の残り
28015603132901918752085809581080357866326455667726414110685524950681813213953953819257181491818800227509064946497043709518332908739929161391994456121091096331359025916398913912946267260694398359<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:29:20 UTC 2011 年 1 月 22 日 (土) 2 時 29 分 20 秒 (日本時間)
4511e6600Dmitry DomanovApril 21, 2011 19:20:06 UTC 2011 年 4 月 22 日 (金) 4 時 20 分 6 秒 (日本時間)
5043e61110480Dmitry DomanovJuly 20, 2011 20:26:10 UTC 2011 年 7 月 21 日 (木) 5 時 26 分 10 秒 (日本時間)
480Dmitry DomanovSeptember 5, 2011 20:43:51 UTC 2011 年 9 月 6 日 (火) 5 時 43 分 51 秒 (日本時間)
150Dmitry DomanovSeptember 7, 2011 21:56:21 UTC 2011 年 9 月 8 日 (木) 6 時 56 分 21 秒 (日本時間)
5511e72627 / 173332625yoyo@homeJune 3, 2012 12:10:07 UTC 2012 年 6 月 3 日 (日) 21 時 10 分 7 秒 (日本時間)
2KTakahashiApril 12, 2014 03:05:41 UTC 2014 年 4 月 12 日 (土) 12 時 5 分 41 秒 (日本時間)

89×10243+19

c234

name 名前Dmitry Domanov
date 日付January 21, 2011 19:51:36 UTC 2011 年 1 月 22 日 (土) 4 時 51 分 36 秒 (日本時間)
composite number 合成数
287410760418670245728641158084017468726567665003902028523529547656407605648933119058999650346011995222510346384588267408400241484847316258938326878715776014889877820248982861279994922878195814026176785398671786900640360955543721263779<234>
prime factors 素因数
19470287314046742393696022536482195819<38>
composite cofactor 合成数の残り
14761505867009942656147659190809991122593155190552512370633447372523484715363742433728785904011226132240046830644082289026889807380473329243861209569001055276440559524616004588195877521973317820841<197>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3305259718
Step 1 took 240778ms
Step 2 took 75995ms
********** Factor found in step 2: 19470287314046742393696022536482195819
Found probable prime factor of 38 digits: 19470287314046742393696022536482195819
Composite cofactor 14761505867009942656147659190809991122593155190552512370633447372523484715363742433728785904011226132240046830644082289026889807380473329243861209569001055276440559524616004588195877521973317820841 has 197 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:29:33 UTC 2011 年 1 月 22 日 (土) 2 時 29 分 33 秒 (日本時間)
4511e6600Dmitry DomanovJanuary 21, 2011 19:51:24 UTC 2011 年 1 月 22 日 (土) 4 時 51 分 24 秒 (日本時間)
5043e61110480Dmitry DomanovJuly 20, 2011 20:25:37 UTC 2011 年 7 月 21 日 (木) 5 時 25 分 37 秒 (日本時間)
480Dmitry DomanovSeptember 4, 2011 20:11:06 UTC 2011 年 9 月 5 日 (月) 5 時 11 分 6 秒 (日本時間)
150Dmitry DomanovSeptember 7, 2011 21:56:59 UTC 2011 年 9 月 8 日 (木) 6 時 56 分 59 秒 (日本時間)
5511e72627 / 173332625yoyo@homeJune 3, 2012 13:55:07 UTC 2012 年 6 月 3 日 (日) 22 時 55 分 7 秒 (日本時間)
2KTakahashiApril 12, 2014 03:22:47 UTC 2014 年 4 月 12 日 (土) 12 時 22 分 47 秒 (日本時間)

89×10246+19

c236

composite cofactor 合成数の残り
50910570601792447194570753394637631594700093843902174073542204459582920944871555495741577334487760663074888867263793439839189610036236477393756960713332966486256788716390541525140808552314192088611031005777982882854733095724456462421793<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:29:44 UTC 2011 年 1 月 22 日 (土) 2 時 29 分 44 秒 (日本時間)
4511e6600Dmitry DomanovJanuary 21, 2011 19:52:05 UTC 2011 年 1 月 22 日 (土) 4 時 52 分 5 秒 (日本時間)
5043e6720400Dmitry DomanovApril 13, 2011 09:22:31 UTC 2011 年 4 月 13 日 (水) 18 時 22 分 31 秒 (日本時間)
320Dmitry DomanovApril 13, 2011 21:27:38 UTC 2011 年 4 月 14 日 (木) 6 時 27 分 38 秒 (日本時間)
5511e73185 / 17473200Dmitry DomanovApril 13, 2011 21:25:19 UTC 2011 年 4 月 14 日 (木) 6 時 25 分 19 秒 (日本時間)
200Dmitry DomanovApril 13, 2011 21:27:38 UTC 2011 年 4 月 14 日 (木) 6 時 27 分 38 秒 (日本時間)
2785yoyo@homeAugust 1, 2011 02:16:21 UTC 2011 年 8 月 1 日 (月) 11 時 16 分 21 秒 (日本時間)

89×10247+19

c173

name 名前Dmitry Domanov
date 日付September 7, 2011 06:06:05 UTC 2011 年 9 月 7 日 (水) 15 時 6 分 5 秒 (日本時間)
composite number 合成数
24268117820442439430378958597282779563601713925292691320902576109777730334343752235760167752258772054126779949076997991019203502591135565522217678248019559900572724085708611<173>
prime factors 素因数
118406723275451705334624987404757538955441<42>
204955573037749531496582037299573394095191139487591820174586179040433064555618168638845286798096210843891815922066217233163811640371<132>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1501892615
Step 1 took 281535ms
********** Factor found in step 1: 118406723275451705334624987404757538955441
Found probable prime factor of 42 digits: 118406723275451705334624987404757538955441
Probable prime cofactor 204955573037749531496582037299573394095191139487591820174586179040433064555618168638845286798096210843891815922066217233163811640371 has 132 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:29:54 UTC 2011 年 1 月 22 日 (土) 2 時 29 分 54 秒 (日本時間)
4511e6600Dmitry DomanovApril 20, 2011 17:33:08 UTC 2011 年 4 月 21 日 (木) 2 時 33 分 8 秒 (日本時間)
5043e61226 / 7407186Dmitry DomanovJuly 20, 2011 20:23:29 UTC 2011 年 7 月 21 日 (木) 5 時 23 分 29 秒 (日本時間)
560Dmitry DomanovSeptember 5, 2011 20:42:52 UTC 2011 年 9 月 6 日 (火) 5 時 42 分 52 秒 (日本時間)
480Dmitry DomanovSeptember 6, 2011 22:18:27 UTC 2011 年 9 月 7 日 (水) 7 時 18 分 27 秒 (日本時間)

89×10248+19

c193

composite cofactor 合成数の残り
2074857012206824984051622201008991711662986556458432426576993368396297907557941400820470793007687682236223195872168596149773198754488581266315881252839001899332956858499768051462413962906148247<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:30:01 UTC 2011 年 1 月 22 日 (土) 2 時 30 分 1 秒 (日本時間)
4511e6600Dmitry DomanovApril 20, 2011 17:33:40 UTC 2011 年 4 月 21 日 (木) 2 時 33 分 40 秒 (日本時間)
5043e61100440Dmitry DomanovJuly 20, 2011 20:24:42 UTC 2011 年 7 月 21 日 (木) 5 時 24 分 42 秒 (日本時間)
480Dmitry DomanovSeptember 4, 2011 20:10:21 UTC 2011 年 9 月 5 日 (月) 5 時 10 分 21 秒 (日本時間)
180Dmitry DomanovSeptember 6, 2011 22:18:58 UTC 2011 年 9 月 7 日 (水) 7 時 18 分 58 秒 (日本時間)
5511e72631 / 173372630yoyo@homeJune 3, 2012 17:10:06 UTC 2012 年 6 月 4 日 (月) 2 時 10 分 6 秒 (日本時間)
1KTakahashiApril 11, 2014 12:50:44 UTC 2014 年 4 月 11 日 (金) 21 時 50 分 44 秒 (日本時間)

89×10249+19

c220

composite cofactor 合成数の残り
6745872271452086219047049133060149732800638555472609400890162872452328834907247430154103568058253565571335204192192587868874227064870702199034408450902939676286425440109573032070696037968498194429399933261374315442765741<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:30:12 UTC 2011 年 1 月 22 日 (土) 2 時 30 分 12 秒 (日本時間)
4511e6600Dmitry DomanovApril 20, 2011 17:34:11 UTC 2011 年 4 月 21 日 (木) 2 時 34 分 11 秒 (日本時間)
5043e61080440Dmitry DomanovJuly 20, 2011 20:24:06 UTC 2011 年 7 月 21 日 (木) 5 時 24 分 6 秒 (日本時間)
640Dmitry DomanovAugust 24, 2011 20:20:46 UTC 2011 年 8 月 25 日 (木) 5 時 20 分 46 秒 (日本時間)
5511e72636 / 173421Dmitry DomanovAugust 24, 2011 20:20:53 UTC 2011 年 8 月 25 日 (木) 5 時 20 分 53 秒 (日本時間)
2635yoyo@homeJune 3, 2012 18:10:16 UTC 2012 年 6 月 4 日 (月) 3 時 10 分 16 秒 (日本時間)
6026e71 / 40885Dmitry DomanovAugust 24, 2011 20:20:46 UTC 2011 年 8 月 25 日 (木) 5 時 20 分 46 秒 (日本時間)

89×10250+19

c214

composite cofactor 合成数の残り
3111379074953661627881667561807360957954427038401279291150702417414670171106705717268177172189062018108862127418403592699510970246091205163257467626095831144294594236861466565439991233375280185874458806503351156087<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 20, 2011 14:00:00 UTC 2011 年 1 月 20 日 (木) 23 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovJanuary 21, 2011 17:30:19 UTC 2011 年 1 月 22 日 (土) 2 時 30 分 19 秒 (日本時間)
4511e61600600Dmitry DomanovFebruary 23, 2011 21:31:25 UTC 2011 年 2 月 24 日 (木) 6 時 31 分 25 秒 (日本時間)
1000Dmitry DomanovJuly 13, 2011 08:14:41 UTC 2011 年 7 月 13 日 (水) 17 時 14 分 41 秒 (日本時間)
5043e6800Dmitry DomanovJuly 14, 2011 21:06:04 UTC 2011 年 7 月 15 日 (金) 6 時 6 分 4 秒 (日本時間)
5511e75321 / 173811Dmitry DomanovJuly 14, 2011 21:07:00 UTC 2011 年 7 月 15 日 (金) 6 時 7 分 0 秒 (日本時間)
2660yoyo@homeDecember 7, 2011 11:40:55 UTC 2011 年 12 月 7 日 (水) 20 時 40 分 55 秒 (日本時間)
2660yoyo@homeJune 3, 2012 18:45:05 UTC 2012 年 6 月 4 日 (月) 3 時 45 分 5 秒 (日本時間)