Table of contents 目次

43×10152-79

c140

name 名前Sinkiti Sibata
date 日付October 26, 2006 22:54:14 UTC 2006 年 10 月 27 日 (金) 7 時 54 分 14 秒 (日本時間)
composite number 合成数
20984441024199006214282702098464189974691210272294309386562281479507447360215780310022944469827007599041064432596741706279115742469976314177<140>
prime factors 素因数
1430176486021512778804762093129<31>
2634124550304617716630218784122614557<37>
5570208680054061570851852839330927864723474994741869020269931636097026509<73>
factorization results 素因数分解の結果
Number: 47777_152
N=20984441024199006214282702098464189974691210272294309386562281479507447360215780310022944469827007599041064432596741706279115742469976314177
  ( 140 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1430176486021512778804762093129 (pp31)
 r2=2634124550304617716630218784122614557 (pp37)
 r3=5570208680054061570851852839330927864723474994741869020269931636097026509 (pp73)
Version: GGNFS-0.77.1
Total time: 55.54 hours.
Scaled time: 33.10 units (timescale=0.596).
Factorization parameters were as follows:
name: 47777_152
n: 20984441024199006214282702098464189974691210272294309386562281479507447360215780310022944469827007599041064432596741706279115742469976314177
m: 1000000000000000000000000000000
c5: 4300
c0: -7
skew: 2
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1200000, 2600001)
Relations: rels:5441857, finalFF:403012
Initial matrix: 352762 x 403012 with sparse part having weight 38799169.
Pruned matrix : 345979 x 347806 with weight 27944683.
Total sieving time: 49.59 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 5.37 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: 55.54 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin

43×10154-79

c154

name 名前Sinkiti Sibata
date 日付October 29, 2006 22:27:12 UTC 2006 年 10 月 30 日 (月) 7 時 27 分 12 秒 (日本時間)
composite number 合成数
2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883<154>
prime factors 素因数
698263010678625674370967526486806265752943801620969881754577082577<66>
3601250309102059914245749920964728989234812179604000200365723315889504010401022986601979<88>
factorization results 素因数分解の結果
Number: 47777_154
N=2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883
  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=698263010678625674370967526486806265752943801620969881754577082577 (pp66)
 r2=3601250309102059914245749920964728989234812179604000200365723315889504010401022986601979 (pp88)
Version: GGNFS-0.77.1
Total time: 68.58 hours.
Scaled time: 40.26 units (timescale=0.587).
Factorization parameters were as follows:
name: 47777_154
n: 2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883
m: 10000000000000000000000000000000
c5: 43
c0: -70
skew: 1.1
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 3200001)
Relations: rels:5765318, finalFF:550075
Initial matrix: 432277 x 550075 with sparse part having weight 49724344.
Pruned matrix : 410491 x 412716 with weight 27468631.
Total sieving time: 61.33 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 6.59 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 68.58 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin

43×10156-79

c146

name 名前Robert Backstrom
date 日付April 12, 2007 06:34:48 UTC 2007 年 4 月 12 日 (木) 15 時 34 分 48 秒 (日本時間)
composite number 合成数
55532090147357078614709045295335410496884507949289740354906265287483458384991574448553960954638656267233942947332864511635639261192072916572233177<146>
prime factors 素因数
19163362490036635820158997010258849551<38>
2897826003981773784334186754550525299012182064741398699239307009312692916090017208342332671221035127546930327<109>
factorization results 素因数分解の結果
Number: n
N=55532090147357078614709045295335410496884507949289740354906265287483458384991574448553960954638656267233942947332864511635639261192072916572233177
  ( 146 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=19163362490036635820158997010258849551 (pp38)
 r2=2897826003981773784334186754550525299012182064741398699239307009312692916090017208342332671221035127546930327 (pp109)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 29.34 hours.
Scaled time: 42.51 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_4_7_156
n: 55532090147357078614709045295335410496884507949289740354906265287483458384991574448553960954638656267233942947332864511635639261192072916572233177
skew: 0.44
deg: 5
c5: 430
c0: -7
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:216651, largePrimes:6922881 encountered
Relations: rels:6392211, finalFF:486337
Max relations in full relation-set: 28
Initial matrix: 433534 x 486337 with sparse part having weight 33091584.
Pruned matrix : 388899 x 391130 with weight 22447641.
Total sieving time: 25.47 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.53 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 29.34 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

43×10160-79

c145

name 名前Jo Yeong Uk
date 日付July 12, 2007 09:52:41 UTC 2007 年 7 月 12 日 (木) 18 時 52 分 41 秒 (日本時間)
composite number 合成数
1361420192801642844760463669804693004476351044512514200603381946512896191823153079084354130656684493321162606096630346339637421538262702081581801<145>
prime factors 素因数
4421264001211142317908244507<28>
composite cofactor 合成数の残り
307925559846392608191890342655880287652240774038193999902100985083530393790025178760683643373658220133542015572724043<117>
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 1361420192801642844760463669804693004476351044512514200603381946512896191823153079084354130656684493321162606096630346339637421538262702081581801 (145 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2804776548
Step 1 took 7220ms
********** Factor found in step 1: 4421264001211142317908244507
Found probable prime factor of 28 digits: 4421264001211142317908244507
Composite cofactor 307925559846392608191890342655880287652240774038193999902100985083530393790025178760683643373658220133542015572724043 has 117 digits
execution environment 実行環境
Core 2 Quad Q6600

c117

name 名前Sinkiti Sibata
date 日付August 1, 2007 05:06:51 UTC 2007 年 8 月 1 日 (水) 14 時 6 分 51 秒 (日本時間)
composite number 合成数
307925559846392608191890342655880287652240774038193999902100985083530393790025178760683643373658220133542015572724043<117>
prime factors 素因数
10962690224883063587814306144466516475374288984362790602653<59>
28088503235042124615343896925550058586948441134278026650631<59>
factorization results 素因数分解の結果
Number: 47777_160
N=307925559846392608191890342655880287652240774038193999902100985083530393790025178760683643373658220133542015572724043
  ( 117 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=10962690224883063587814306144466516475374288984362790602653 (pp59)
 r2=28088503235042124615343896925550058586948441134278026650631 (pp59)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 92.60 hours.
Scaled time: 63.15 units (timescale=0.682).
Factorization parameters were as follows:
name: 47777_160
n: 307925559846392608191890342655880287652240774038193999902100985083530393790025178760683643373658220133542015572724043
m: 100000000000000000000000000000000
c5: 43
c0: -7
skew: 0.7
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4450001)
Primes: RFBsize:315948, AFBsize:316331, largePrimes:5787779 encountered
Relations: rels:5898099, finalFF:709902
Max relations in full relation-set: 0
Initial matrix: 632346 x 709902 with sparse part having weight 39393248.
Pruned matrix : 573683 x 576908 with weight 30096165.
Total sieving time: 78.88 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 13.14 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 92.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

43×10163-79

c124

name 名前Sinkiti Sibata
date 日付May 12, 2008 06:11:32 UTC 2008 年 5 月 12 日 (月) 15 時 11 分 32 秒 (日本時間)
composite number 合成数
1131179319877381526484592406638873153964107702611935425473131250001541648222905288588232080460486389335504040917062171767903<124>
prime factors 素因数
4940707832454493415501651784634079823643014735022300729459783<61>
228950862555947401946978886763873337701268538465930614150009641<63>
factorization results 素因数分解の結果
Number: 47777_163
N=1131179319877381526484592406638873153964107702611935425473131250001541648222905288588232080460486389335504040917062171767903
  ( 124 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=4940707832454493415501651784634079823643014735022300729459783 (pp61)
 r2=228950862555947401946978886763873337701268538465930614150009641 (pp63)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 181.33 hours.
Scaled time: 122.58 units (timescale=0.676).
Factorization parameters were as follows:
name: 47777_163
n: 1131179319877381526484592406638873153964107702611935425473131250001541648222905288588232080460486389335504040917062171767903
m: 100000000000000000000000000000000
c5: 43000
c0: -7
skew: 0.17
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 6700001)
Primes: RFBsize:348513, AFBsize:348291, largePrimes:6066233 encountered
Relations: rels:6239037, finalFF:799065
Max relations in full relation-set: 28
Initial matrix: 696871 x 799065 with sparse part having weight 64573761.
Pruned matrix : 622367 x 625915 with weight 49390580.
Total sieving time: 156.93 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 23.53 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 181.33 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

43×10164-79

c164

name 名前Robert Backstrom
date 日付May 6, 2007 10:41:40 UTC 2007 年 5 月 6 日 (日) 19 時 41 分 40 秒 (日本時間)
composite number 合成数
53086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<164>
prime factors 素因数
2631129533782044843927495361912765542751<40>
215880931151977979223281199254244241548167819075235827<54>
93460247031749192280709130483295872291224585644076339206811461233287789<71>
factorization results 素因数分解の結果
Number: n
N=53086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753
  ( 164 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2631129533782044843927495361912765542751 (pp40)
 r2=215880931151977979223281199254244241548167819075235827 (pp54)
 r3=93460247031749192280709130483295872291224585644076339206811461233287789 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 117.61 hours.
Scaled time: 140.90 units (timescale=1.198).
Factorization parameters were as follows:
name: KA_4_7_164
n: 53086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753
type: snfs
skew: 1.10
deg: 5
c5: 43
c0: -70
m: 1000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 4500001)
Primes: RFBsize:250150, AFBsize:248761, largePrimes:8106263 encountered
Relations: rels:7638338, finalFF:562340
Max relations in full relation-set: 28
Initial matrix: 498976 x 562340 with sparse part having weight 56255595.
Pruned matrix : 471675 x 474233 with weight 44274525.
Total sieving time: 106.62 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 9.71 hours.
Total square root time: 0.86 hours, sqrts: 5.
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: 117.61 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

43×10165-79

c130

name 名前Jo Yeong Uk
date 日付September 5, 2008 16:18:21 UTC 2008 年 9 月 6 日 (土) 1 時 18 分 21 秒 (日本時間)
composite number 合成数
1544577977188098720238620993157952890934508035999346072911447051418801275216503660329923388280907102934899877127344967702159349449<130>
prime factors 素因数
385071591629280252011363710960963257145127<42>
4011144968271534743653930349805245289947412403901164321780638693543548253701599315974287<88>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1544577977188098720238620993157952890934508035999346072911447051418801275216503660329923388280907102934899877127344967702159349449 (130 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3941855257
Step 1 took 11715ms
Step 2 took 5580ms
********** Factor found in step 2: 385071591629280252011363710960963257145127
Found probable prime factor of 42 digits: 385071591629280252011363710960963257145127
Probable prime cofactor 4011144968271534743653930349805245289947412403901164321780638693543548253701599315974287 has 88 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkAugust 5, 2008 11:41:36 UTC 2008 年 8 月 5 日 (火) 20 時 41 分 36 秒 (日本時間)
255e4214Jo Yeong UkAugust 5, 2008 11:41:41 UTC 2008 年 8 月 5 日 (火) 20 時 41 分 41 秒 (日本時間)
3025e4430Jo Yeong UkAugust 5, 2008 11:41:46 UTC 2008 年 8 月 5 日 (火) 20 時 41 分 46 秒 (日本時間)
351e6904Jo Yeong UkAugust 5, 2008 11:42:03 UTC 2008 年 8 月 5 日 (火) 20 時 42 分 3 秒 (日本時間)

43×10167-79

c129

name 名前Robert Backstrom
date 日付February 9, 2008 16:14:27 UTC 2008 年 2 月 10 日 (日) 1 時 14 分 27 秒 (日本時間)
composite number 合成数
890177903885214075436071470878082609272975849514979173383160933886046473812329845688925342329115567989763435282381737410131024269<129>
prime factors 素因数
27530433290624738915011972223<29>
32334322329331329096070235876248176740375231051072784305900774570153124823803731961300200455222281203<101>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 890177903885214075436071470878082609272975849514979173383160933886046473812329845688925342329115567989763435282381737410131024269 (129 digits)
Using B1=546000, B2=354479377, polynomial Dickson(3), sigma=2702448369
Step 1 took 4956ms
Step 2 took 2598ms
********** Factor found in step 2: 27530433290624738915011972223
Found probable prime factor of 29 digits: 27530433290624738915011972223
Probable prime cofactor 32334322329331329096070235876248176740375231051072784305900774570153124823803731961300200455222281203 has 101 digits

43×10168-79

c136

name 名前Erik Branger
date 日付January 21, 2009 16:22:07 UTC 2009 年 1 月 22 日 (木) 1 時 22 分 7 秒 (日本時間)
composite number 合成数
9002382959448748794439199014832033133711285895903932632389666139902386003239170475300347336941766288329532183182089193481662048433984619<136>
prime factors 素因数
1308979129371218843055335143575659161498651650606112393<55>
6877407559410922828407190093693313130619469297610260690908537887846523454630592083<82>
factorization results 素因数分解の結果
Number: 47777_168
N=9002382959448748794439199014832033133711285895903932632389666139902386003239170475300347336941766288329532183182089193481662048433984619
  ( 136 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1308979129371218843055335143575659161498651650606112393
 r2=6877407559410922828407190093693313130619469297610260690908537887846523454630592083
Version: 
Total time: 116.36 hours.
Scaled time: 242.96 units (timescale=2.088).
Factorization parameters were as follows:
n: 9002382959448748794439199014832033133711285895903932632389666139902386003239170475300347336941766288329532183182089193481662048433984619
m: 5000000000000000000000000000000000
deg: 5
c5: 344
c0: -175
skew: 0.87
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 998810 x 999058
Total sieving time: 116.36 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,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 116.36 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

43×10169-79

c124

name 名前Robert Backstrom
date 日付February 10, 2008 16:34:10 UTC 2008 年 2 月 11 日 (月) 1 時 34 分 10 秒 (日本時間)
composite number 合成数
9474258348909698297300765641420130260059687955777652443081365287143667919310393304032500434762909523667744364610006682544113<124>
prime factors 素因数
3156831836580797731306525780758247<34>
3001191966934602598099805375944976471798484695463390773319663402408270737672035770264235879<91>
factorization results 素因数分解の結果
GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 9474258348909698297300765641420130260059687955777652443081365287143667919310393304032500434762909523667744364610006682544113 (124 digits)
Using B1=1266000, B2=1174889278, polynomial Dickson(6), sigma=259918347
Step 1 took 13688ms
Step 2 took 8734ms
********** Factor found in step 2: 3156831836580797731306525780758247
Found probable prime factor of 34 digits: 3156831836580797731306525780758247
Probable prime cofactor 3001191966934602598099805375944976471798484695463390773319663402408270737672035770264235879 has 91 digits

43×10170-79

c139

name 名前Erik Branger
date 日付January 20, 2009 06:41:29 UTC 2009 年 1 月 20 日 (火) 15 時 41 分 29 秒 (日本時間)
composite number 合成数
1215793462267647551285892538593877354317166737178594605321560408370658353862767905904353311381922334245683040902952768797380928615781640731<139>
prime factors 素因数
19724348612725122674663619250491107143649597908233700859<56>
61639219937700802753408962418792264762496168162642674184908540680230576705040487009<83>
factorization results 素因数分解の結果
Number: 47777_170
N=1215793462267647551285892538593877354317166737178594605321560408370658353862767905904353311381922334245683040902952768797380928615781640731
  ( 139 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=19724348612725122674663619250491107143649597908233700859
 r2=61639219937700802753408962418792264762496168162642674184908540680230576705040487009
Version: 
Total time: 109.07 hours.
Scaled time: 86.17 units (timescale=0.790).
Factorization parameters were as follows:
n: 1215793462267647551285892538593877354317166737178594605321560408370658353862767905904353311381922334245683040902952768797380928615781640731
m: 10000000000000000000000000000000000
deg: 5
c5: 43
c0: -7
skew: 0.70
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 915262 x 915510
Total sieving time: 109.07 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,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 109.07 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

43×10172-79

c161

name 名前Erik Branger
date 日付January 18, 2009 21:38:13 UTC 2009 年 1 月 19 日 (月) 6 時 38 分 13 秒 (日本時間)
composite number 合成数
41178136890447562326026403306646311339851781446200174720208011694883423225884632443497443169775352122387018738833041769196401751763481244442735023304349902594361<161>
prime factors 素因数
6941291317736286782073303602411662044216942598401706881620737753047439<70>
5932345295064880058048049218132535850826803648773363051774178987910528595746827458377686199<91>
factorization results 素因数分解の結果
Number: 47777_172
N=41178136890447562326026403306646311339851781446200174720208011694883423225884632443497443169775352122387018738833041769196401751763481244442735023304349902594361
  ( 161 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=6941291317736286782073303602411662044216942598401706881620737753047439
 r2=5932345295064880058048049218132535850826803648773363051774178987910528595746827458377686199
Version: 
Total time: 126.49 hours.
Scaled time: 254.24 units (timescale=2.010).
Factorization parameters were as follows:
n: 41178136890447562326026403306646311339851781446200174720208011694883423225884632443497443169775352122387018738833041769196401751763481244442735023304349902594361
m: 50000000000000000000000000000000000
deg: 5
c5: 172
c0: -875
skew: 1.38
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1176953 x 1177201
Total sieving time: 126.49 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,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 126.49 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

43×10175-79

c118

name 名前JMB
date 日付October 18, 2006 20:08:57 UTC 2006 年 10 月 19 日 (木) 5 時 8 分 57 秒 (日本時間)
composite number 合成数
2953939934998311490528636347565898394866912376577013806908991905371744510519282906721459264905889799112985767185239799<118>
prime factors 素因数
763897337718851240158040328891174998761<39>
3866933145518429531145860572794691424526989665039376693712221630894313776948959<79>
factorization results 素因数分解の結果
Number: N
N=2953939934998311490528636347565898394866912376577013806908991905371744510519282906721459264905889799112985767185239799
  ( 118 digits)
Divisors found:
 r1=763897337718851240158040328891174998761 (pp39)
 r2=3866933145518429531145860572794691424526989665039376693712221630894313776948959 (pp79)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 54.19 hours.
Scaled time: 75.38 units (timescale=1.391).
Factorization parameters were as follows:
name: (43*10^175-7)/9
n: 2953939934998311490528636347565898394866912376577013806908991905371744510519282906721459264905889799112985767185239799
skew: 27933.439453
# norm 2.76E+016
c5: 46440
c4: 15919347198
c3: 794873662952672
c2: -16331705097650427727
c1: 72617376145568288769948
c0: -3166591147057956099235500
#alpha -6.130000
Y1: 2146726319689
Y0: -36366385004763909404629
# Murphy_E 4.21E-010
# M 1451513041968703703828818440282867894869931362701179822260165269419519531044952989144692605747778864404447562205796047
type: gnfs
rlim: 3000000
alim: 3000000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 1500000)
Primes: RFBsize:216816, AFBsize:216593, largePrimes:4196009 encountered
Relations: rels:4469126, finalFF:496294
Max relations in full relation-set: 28
Initial matrix: 433493 x 496294 with sparse part having weight 55279533.
Pruned matrix : .Bye386919 x 389150 with weight 41507429.
Total sieving time: 41.95 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 4.16 hours.
Time per square root: 7.59 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,26,26,48,48,2.5,2.5,10000
total time: 54.19 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Stage-1 was run on a half dozen various Win 2K/XP systems under a Win32 Service which did sieving and then reported the results via TCP to the server. The server was a Win XP system using the standard (unchanged factLat Perl script under Cygwin. After finishing enough sieving, the server then ran stage-2 to combine the relationships into a solution. The distributed solution is nearly ready for release and is undergoing final testing. This allows the usage of widely seperated sieving boxes connected via the Internet with no real limit to the number of boxes doing the sieving. The only real limit remains the ability of GGNFS running stage-2 on a single computer.

43×10178-79

c156

name 名前Tyler Cadigan
date 日付January 29, 2009 03:33:16 UTC 2009 年 1 月 29 日 (木) 12 時 33 分 16 秒 (日本時間)
composite number 合成数
114784494947366634262426183006958123861511699275635538429018736808936826291842714776329045547599116455771782266887863028084494441647275112045251159350246101<156>
prime factors 素因数
3673652886587821683140672767941328687<37>
6902107741445885438068266121725096751735112138723<49>
4526925785659940824204341239430806891307484383858194682858972240819401<70>
factorization results 素因数分解の結果
Number: 47777_178
N=114784494947366634262426183006958123861511699275635538429018736808936826291842714776329045547599116455771782266887863028084494441647275112045251159350246101
  ( 156 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=3673652886587821683140672767941328687 (pp37)
 r2=6902107741445885438068266121725096751735112138723 (pp49)
 r3=4526925785659940824204341239430806891307484383858194682858972240819401 (pp70)
Version: Msieve-1.39
Total time: 265.08 hours.
Scaled time: 678.60 units (timescale=2.560).
Factorization parameters were as follows:
n: 114784494947366634262426183006958123861511699275635538429018736808936826291842714776329045547599116455771782266887863028084494441647275112045251159350246101
m: 500000000000000000000000000000000000
deg: 5
c5: 344
c0: -175
skew: 0.87
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1000000Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 7650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1044036 x 1044284
Total sieving time: 265.08 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,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 265.08 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.40 GHz, 3Gb RAM, Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e60--
403e61700 / 2350p37_x_c119January 23, 2009 20:26:19 UTC 2009 年 1 月 24 日 (土) 5 時 26 分 19 秒 (日本時間)

43×10179-79

c165

name 名前Serge Batalov
date 日付January 26, 2009 04:40:52 UTC 2009 年 1 月 26 日 (月) 13 時 40 分 52 秒 (日本時間)
composite number 合成数
900028343642920268629193882313065164523095389608686033709901992697050423470050911286995509976226984775059263572750134624657136766028945840031740266801444602051289561<165>
prime factors 素因数
14145656150669491298815154320590745375349211707577628084877873514139<68>
63625775577778579433341123264082604872882905945721415160648453020214286335148354296475720079558299<98>
factorization results 素因数分解の結果
SNFS difficulty: 181 digits.
Divisors found:
 r1=14145656150669491298815154320590745375349211707577628084877873514139 (pp68)
 r2=63625775577778579433341123264082604872882905945721415160648453020214286335148354296475720079558299 (pp98)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
n: 900028343642920268629193882313065164523095389608686033709901992697050423470050911286995509976226984775059263572750134624657136766028945840031740266801444602051289561
m: 1000000000000000000000000000000000000
deg: 5
c5: 43
c0: -70
skew: 1.10
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [4000000, 6700001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1586574 x 1586822
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,181,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 200.00 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Erik BrangerJanuary 21, 2009 16:44:17 UTC 2009 年 1 月 22 日 (木) 1 時 44 分 17 秒 (日本時間)
255e4214Erik BrangerJanuary 21, 2009 16:44:17 UTC 2009 年 1 月 22 日 (木) 1 時 44 分 17 秒 (日本時間)
3025e4402Erik BrangerJanuary 21, 2009 17:38:02 UTC 2009 年 1 月 22 日 (木) 2 時 38 分 2 秒 (日本時間)
351e6828Erik BrangerJanuary 21, 2009 21:37:45 UTC 2009 年 1 月 22 日 (木) 6 時 37 分 45 秒 (日本時間)
403e62111Erik BrangerJanuary 22, 2009 21:25:04 UTC 2009 年 1 月 23 日 (金) 6 時 25 分 4 秒 (日本時間)
4511e6900 / 3974400Erik BrangerJanuary 23, 2009 10:03:27 UTC 2009 年 1 月 23 日 (金) 19 時 3 分 27 秒 (日本時間)
500Serge BatalovJanuary 23, 2009 20:23:49 UTC 2009 年 1 月 24 日 (土) 5 時 23 分 49 秒 (日本時間)

43×10180-79

c177

name 名前Robert Backstrom
date 日付September 21, 2008 10:22:28 UTC 2008 年 9 月 21 日 (日) 19 時 22 分 28 秒 (日本時間)
composite number 合成数
619123723957208471916259916778252919240349588930643744690654111413473860020445481116726419305141606554072538263285963169337537615365786935049601889047269376412825939844211193181<177>
prime factors 素因数
7974850129236699611743439999799043481<37>
77634527787228389847918815078532026524742425012288827865479837265962584100748133165695301835012008917167725311213692593828248802988299673701<140>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 619123723957208471916259916778252919240349588930643744690654111413473860020445481116726419305141606554072538263285963169337537615365786935049601889047269376412825939844211193181 (177 digits)
Using B1=3834000, B2=8561443810, polynomial Dickson(6), sigma=936150032
Step 1 took 59850ms
Step 2 took 21227ms
********** Factor found in step 2: 7974850129236699611743439999799043481
Found probable prime factor of 37 digits: 7974850129236699611743439999799043481
Probable prime cofactor 77634527787228389847918815078532026524742425012288827865479837265962584100748133165695301835012008917167725311213692593828248802988299673701 has 140 digits

43×10181-79

c159

name 名前Tyler Cadigan
date 日付January 18, 2009 16:58:47 UTC 2009 年 1 月 19 日 (月) 1 時 58 分 47 秒 (日本時間)
composite number 合成数
128611121862230446765269107714484784834155430912953973027917455389262678968963120276135652426748429840669621417121389597978273948148186906111154745216473478667<159>
prime factors 素因数
11762494900496736764278874195216335838416155314149<50>
10934000222758789623278936927899822714858830939221261071656118922521895869107432990306817336243775060012500783<110>
factorization results 素因数分解の結果
Number: 47777_181
N=128611121862230446765269107714484784834155430912953973027917455389262678968963120276135652426748429840669621417121389597978273948148186906111154745216473478667
  ( 159 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=11762494900496736764278874195216335838416155314149 (pp50)
 r2=10934000222758789623278936927899822714858830939221261071656118922521895869107432990306817336243775060012500783 (pp110)
Version: Msieve-1.39
Total time: 208.06 hours.
Scaled time: 469.38 units (timescale=2.256).
Factorization parameters were as follows:
n: 128611121862230446765269107714484784834155430912953973027917455389262678968963120276135652426748429840669621417121389597978273948148186906111154745216473478667
m: 2000000000000000000000000000000000000
deg: 5
c5: 215
c0: -112
skew: 0.88
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1000000Factor 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, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1150786 x 1151034
Total sieving time: 208.06 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,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 208.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS msieve
execution environment 実行環境
C2Q Q6600 2.4 GHz, 4 Gb RAM, Windows vista

43×10182-79

c166

name 名前Tyler Cadigan
date 日付January 13, 2009 04:24:05 UTC 2009 年 1 月 13 日 (火) 13 時 24 分 5 秒 (日本時間)
composite number 合成数
1420851928525306131384810224137335708768862208498603709062388536173963432978334067142466657738746292096501148717730968627053157488992019955679761766260696175351159631<166>
prime factors 素因数
9186931074291987184692831511277158395546328415501621<52>
154660127199746895179494726776156683293322589732934675735755785599291749630480175689205742714029631751147398445811<114>
factorization results 素因数分解の結果
Number: 47777_182
N=1420851928525306131384810224137335708768862208498603709062388536173963432978334067142466657738746292096501148717730968627053157488992019955679761766260696175351159631
  ( 166 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=9186931074291987184692831511277158395546328415501621
 r2=154660127199746895179494726776156683293322589732934675735755785599291749630480175689205742714029631751147398445811
Version: 
Total time: 273.73 hours.
Scaled time: 702.12 units (timescale=2.565).
Factorization parameters were as follows:
n: 1420851928525306131384810224137335708768862208498603709062388536173963432978334067142466657738746292096501148717730968627053157488992019955679761766260696175351159631
m: 5000000000000000000000000000000000000
deg: 5
c5: 172
c0: -875
skew: 1.38
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1000000Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 8350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1267000 x 1267248
Total sieving time: 273.73 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,185,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 273.73 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS msieve
execution environment 実行環境
C2Q Q6600 2.4 GHz, 4 GB RAM, Windows Vista

43×10184-79

c163

name 名前Tyler Cadigan
date 日付January 5, 2009 16:02:32 UTC 2009 年 1 月 6 日 (火) 1 時 2 分 32 秒 (日本時間)
composite number 合成数
7004266842269483659952767910075690687168034383305029594855242179827887829067467896729417906148100412760492466019505809155804252673388696948980973408703058013905039<163>
prime factors 素因数
100986265192381720719980286210366635840357108525083480574351389325029919037606947<81>
69358608608073139344127843528616553111361386937716623546623185659992381518608784037<83>
factorization results 素因数分解の結果
Number: 47777_184
N=7004266842269483659952767910075690687168034383305029594855242179827887829067467896729417906148100412760492466019505809155804252673388696948980973408703058013905039
  ( 163 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=100986265192381720719980286210366635840357108525083480574351389325029919037606947
 r2=69358608608073139344127843528616553111361386937716623546623185659992381518608784037
Version: 
Total time: 347.18 hours.
Scaled time: 889.14 units (timescale=2.561).
Factorization parameters were as follows:
n: 7004266842269483659952767910075690687168034383305029594855242179827887829067467896729417906148100412760492466019505809155804252673388696948980973408703058013905039
m: 10000000000000000000000000000000000000
deg: 5
c5: 43
c0: -70
skew: 1.10
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1000000Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 9500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1331819 x 1332067
Total sieving time: 347.18 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,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 347.18 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs, msieve
execution environment 実行環境
C2Q Q6600 2.4 ghz, 4 gb RAM, windows vista

43×10185-79

c157

name 名前Tyler Cadigan
date 日付December 18, 2008 02:12:21 UTC 2008 年 12 月 18 日 (木) 11 時 12 分 21 秒 (日本時間)
composite number 合成数
2008662548458999269449272053889738154785837004738744490237883895960497711975400967535628915609095715969831195102711489927429245865192787596589288254649018977<157>
prime factors 素因数
711289181722006572964993391864934683586891620256502264874981119795063837321<75>
2823974552229371081708878262515141661878349230272684194999664683868033689289786137<82>
factorization results 素因数分解の結果
Number: 47777_185
N=2008662548458999269449272053889738154785837004738744490237883895960497711975400967535628915609095715969831195102711489927429245865192787596589288254649018977
  ( 157 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=711289181722006572964993391864934683586891620256502264874981119795063837321
 r2=2823974552229371081708878262515141661878349230272684194999664683868033689289786137
Version: 
Total time: 284.19 hours.
Scaled time: 728.96 units (timescale=2.565).
Factorization parameters were as follows:
n: 2008662548458999269449272053889738154785837004738744490237883895960497711975400967535628915609095715969831195102711489927429245865192787596589288254649018977
m: 10000000000000000000000000000000000000
deg: 5
c5: 43
c0: -7
skew: 0.70
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Y0: 10000000000000000000000000000000000000
Y1: -1
qintsize: 1000000Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1277651 x 1277899
Total sieving time: 284.19 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,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 284.19 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q 6600 2.4 ghz 4 gb ram windows vista

43×10187-79

c137

name 名前Serge Batalov
date 日付August 5, 2008 00:00:11 UTC 2008 年 8 月 5 日 (火) 9 時 0 分 11 秒 (日本時間)
composite number 合成数
57209503534818849035270417576380246604448742971932990242819408029054548750235778687622316088255706644603417952941962964205387931603045077<137>
prime factors 素因数
563109820432391065038572286966239<33>
101595641665225801482855126843463077933095944176748411552258185690480521896642701682667226673118857591243<105>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3325744018
Step 1 took 4776ms
Step 2 took 2552ms
********** Factor found in step 2: 563109820432391065038572286966239
Found probable prime factor of 33 digits: 563109820432391065038572286966239
Probable prime cofactor 101595641665225801482855126843463077933095944176748411552258185690480521896642701682667226673118857591243 has 105 digits
software ソフトウェア
GMP-ECM 6.2.1

43×10189-79

c155

name 名前Tyler Cadigan
date 日付December 9, 2008 18:10:33 UTC 2008 年 12 月 10 日 (水) 3 時 10 分 33 秒 (日本時間)
composite number 合成数
48995547973812574793179189250193418592905049952135556886116149139211425752282423974271146284116043931349369118869012729947615449980688775331671793574450267<155>
prime factors 素因数
29909335929237981822985403260970890761599739765839699<53>
1638135600527218522474084632256993846436678807085787257035715605380077124636341859263839470084034319833<103>
factorization results 素因数分解の結果
Number: 47777_189
N=48995547973812574793179189250193418592905049952135556886116149139211425752282423974271146284116043931349369118869012729947615449980688775331671793574450267
  ( 155 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=29909335929237981822985403260970890761599739765839699
 r2=1638135600527218522474084632256993846436678807085787257035715605380077124636341859263839470084034319833
Version: 
Total time: 497.51 hours.
Scaled time: 1275.61 units (timescale=2.564).
Factorization parameters were as follows:
n: 48995547973812574793179189250193418592905049952135556886116149139211425752282423974271146284116043931349369118869012729947615449980688775331671793574450267
m: 100000000000000000000000000000000000000
deg: 5
c5: 43
c0: -70
Y0: 100000000000000000000000000000000000000
Y1: -1
skew: 1.10
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 1000000Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 12450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1711650 x 1711898
Total sieving time: 497.51 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,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 497.51 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
ggnfs, msieve
execution environment 実行環境
C2Q Q6600 2.4 ghz, 4 gb ram, windows vista

43×10192-79

c139

name 名前Tyler Cadigan
date 日付November 28, 2008 03:08:18 UTC 2008 年 11 月 28 日 (金) 12 時 8 分 18 秒 (日本時間)
composite number 合成数
5646469006574256973282355219285673016714439033035136874206463329954028779275555920105596499863540512205308966627980373468257697311316283963<139>
prime factors 素因数
135427060717739009170914297860127597169429975010164729<54>
41693801642367404962648784775123910677444951042004634952791915483103489484160391387347<86>
factorization results 素因数分解の結果
Number: 47777_192
N=5646469006574256973282355219285673016714439033035136874206463329954028779275555920105596499863540512205308966627980373468257697311316283963
  ( 139 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=135427060717739009170914297860127597169429975010164729
 r2=41693801642367404962648784775123910677444951042004634952791915483103489484160391387347
Version: 
Total time: 593.99 hours.
Scaled time: 1495.67 units (timescale=2.518).
Factorization parameters were as follows:
n: 5646469006574256973282355219285673016714439033035136874206463329954028779275555920105596499863540512205308966627980373468257697311316283963
m: 500000000000000000000000000000000000000
deg: 5
c5: 172
c0: -875
Y0: 500000000000000000000000000000000000000
Y1: -1
skew: 1.38
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 1000000

Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6400000, 1
)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2014456 x 2014704
Total sieving time: 593.99 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,195,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 593.99 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
C2Q Q6600 2.4 Ghz, 4 GB RAM, Windows vista

43×10193-79

c156

name 名前Serge Batalov
date 日付August 2, 2008 05:03:57 UTC 2008 年 8 月 2 日 (土) 14 時 3 分 57 秒 (日本時間)
composite number 合成数
130610243793194724788670911461737544751632010871657647274115113335430059619819285864745331097215876198538092238382708414298965562721428435506791574921031681<156>
prime factors 素因数
4284288203992414224517391893<28>
composite cofactor 合成数の残り
30485867797475088755064300991906426987241836546815788111296849337158228409230973644957546968604924308437984135196279273180211517<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2654238649
Step 1 took 26688ms
Step 2 took 19224ms
********** Factor found in step 2: 4284288203992414224517391893
Found probable prime factor of 28 digits: 4284288203992414224517391893
Composite cofactor 30485867797475088755064300991906426987241836546815788111296849337158228409230973644957546968604924308437984135196279273180211517 has 128 digits
software ソフトウェア
GMP-ECM 6.2.1

c128

name 名前Serge Batalov
date 日付August 3, 2008 18:30:41 UTC 2008 年 8 月 4 日 (月) 3 時 30 分 41 秒 (日本時間)
composite number 合成数
30485867797475088755064300991906426987241836546815788111296849337158228409230973644957546968604924308437984135196279273180211517<128>
prime factors 素因数
150826515975256399552220025155339<33>
202125386244925252749734893061275680905056146225460546218343135651883483612166284107990237484503<96>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=275763691
Step 1 took 15783ms
Step 2 took 14885ms
********** Factor found in step 2: 150826515975256399552220025155339
Found probable prime factor of 33 digits: 150826515975256399552220025155339
Probable prime cofactor 202125386244925252749734893061275680905056146225460546218343135651883483612166284107990237484503 has 96 digits
software ソフトウェア
GMP-ECM 6.2.1

43×10194-79

c154

name 名前Serge Batalov
date 日付July 17, 2008 05:08:05 UTC 2008 年 7 月 17 日 (木) 14 時 8 分 5 秒 (日本時間)
composite number 合成数
3930464781537337285941378732053306328694376475213919421165283362786476353249507803011069339308331278376012203040428721791991379231770558552691759461933537<154>
prime factors 素因数
27984220393915439255871446690087<32>
composite cofactor 合成数の残り
140452895460755142568169629971827239108134551763753952081688857640992802509386073644380889037709828929708318820579567399351<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=4133533125
Step 1 took 75302ms
Step 2 took 44387ms
********** Factor found in step 2: 27984220393915439255871446690087
Found probable prime factor of 32 digits: 27984220393915439255871446690087
Composite cofactor 140452895460755142568169629971827239108134551763753952081688857640992802509386073644380889037709828929708318820579567399351 has 123 digits
software ソフトウェア
GMP-ECM 6.2.1

c123

name 名前Serge Batalov
date 日付July 17, 2008 19:09:56 UTC 2008 年 7 月 18 日 (金) 4 時 9 分 56 秒 (日本時間)
composite number 合成数
140452895460755142568169629971827239108134551763753952081688857640992802509386073644380889037709828929708318820579567399351<123>
prime factors 素因数
150253016357827367252162610270549921517<39>
750043144488989115802079916490146682858549<42>
1246296144452316719852297075309650379237447<43>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1189677086
Step 1 took 21161ms
Step 2 took 17730ms
********** Factor found in step 2: 150253016357827367252162610270549921517
Found probable prime factor of 39 digits: 150253016357827367252162610270549921517

Thu Jul 17 12:15:31 2008 Msieve v. 1.36
Thu Jul 17 12:15:31 2008 random seeds: c40b47a0 78880a05
Thu Jul 17 12:15:31 2008 factoring 934775879149519040345063733991838603284029386859630642611343691487753360644784884403 (84 digits)
Thu Jul 17 12:15:32 2008 no P-1/P+1/ECM available, skipping
Thu Jul 17 12:15:32 2008 commencing quadratic sieve (84-digit input)
Thu Jul 17 12:15:32 2008 using multiplier of 2
Thu Jul 17 12:15:32 2008 using 64kb Opteron sieve core
Thu Jul 17 12:15:32 2008 sieve interval: 6 blocks of size 65536
Thu Jul 17 12:15:32 2008 processing polynomials in batches of 17
Thu Jul 17 12:15:32 2008 using a sieve bound of 1409171 (53729 primes)
Thu Jul 17 12:15:32 2008 using large prime bound of 119779535 (26 bits)
Thu Jul 17 12:15:32 2008 using trial factoring cutoff of 27 bits
Thu Jul 17 12:15:32 2008 polynomial 'A' values have 11 factors
Thu Jul 17 12:52:32 2008 53862 relations (26979 full + 26883 combined from 284871 partial), need 53825
Thu Jul 17 12:52:32 2008 begin with 311850 relations
Thu Jul 17 12:52:32 2008 reduce to 77390 relations in 2 passes
Thu Jul 17 12:52:32 2008 attempting to read 77390 relations
Thu Jul 17 12:52:32 2008 recovered 77390 relations
Thu Jul 17 12:52:32 2008 recovered 72319 polynomials
Thu Jul 17 12:52:33 2008 attempting to build 53862 cycles
Thu Jul 17 12:52:33 2008 found 53862 cycles in 1 passes
Thu Jul 17 12:52:33 2008 distribution of cycle lengths:
Thu Jul 17 12:52:33 2008 length 1 : 26979
Thu Jul 17 12:52:33 2008 length 2 : 26883
Thu Jul 17 12:52:33 2008 largest cycle: 2 relations
Thu Jul 17 12:52:33 2008 matrix is 53729 x 53862 (8.4 MB) with weight 1758571 (32.65/col)
Thu Jul 17 12:52:33 2008 sparse part has weight 1758571 (32.65/col)
Thu Jul 17 12:52:33 2008 filtering completed in 3 passes
Thu Jul 17 12:52:33 2008 matrix is 39922 x 39986 (6.7 MB) with weight 1436413 (35.92/col)
Thu Jul 17 12:52:33 2008 sparse part has weight 1436413 (35.92/col)
Thu Jul 17 12:52:33 2008 saving the first 48 matrix rows for later
Thu Jul 17 12:52:33 2008 matrix is 39874 x 39986 (4.4 MB) with weight 1075978 (26.91/col)
Thu Jul 17 12:52:33 2008 sparse part has weight 761119 (19.03/col)
Thu Jul 17 12:52:33 2008 matrix includes 64 packed rows
Thu Jul 17 12:52:33 2008 using block size 15994 for processor cache size 1024 kB
Thu Jul 17 12:52:34 2008 commencing Lanczos iteration
Thu Jul 17 12:52:34 2008 memory use: 4.4 MB
Thu Jul 17 12:52:40 2008 lanczos halted after 632 iterations (dim = 39872)
Thu Jul 17 12:52:41 2008 recovered 17 nontrivial dependencies
Thu Jul 17 12:52:41 2008 prp42 factor: 750043144488989115802079916490146682858549
Thu Jul 17 12:52:41 2008 prp43 factor: 1246296144452316719852297075309650379237447
Thu Jul 17 12:52:41 2008 elapsed time 00:37:10
software ソフトウェア
GMP-ECM 6.2.1+Msieve v. 1.36

43×10202-79

c145

name 名前Serge Batalov
date 日付January 27, 2009 16:19:17 UTC 2009 年 1 月 28 日 (水) 1 時 19 分 17 秒 (日本時間)
composite number 合成数
1620475665754509628512199870326936517575062244459703135361427157918355426778703015892561725935428441318463956177498003715185107667479853399949029<145>
prime factors 素因数
894140490812561508197748839283473<33>
composite cofactor 合成数の残り
1812327796811753621163200021922067097052888721647496808031500412932013350729735549051173339843739136511233703573<112>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=209624069
Step 1 took 3916ms
Step 2 took 3799ms
********** Factor found in step 2: 894140490812561508197748839283473
Found probable prime factor of 33 digits: 894140490812561508197748839283473
Composite cofactor has 112 digits
software ソフトウェア
GMP-ECM 6.2.1

c112

name 名前Jo Yeong Uk
date 日付January 30, 2009 02:54:42 UTC 2009 年 1 月 30 日 (金) 11 時 54 分 42 秒 (日本時間)
composite number 合成数
1812327796811753621163200021922067097052888721647496808031500412932013350729735549051173339843739136511233703573<112>
prime factors 素因数
12468621839237019750134274632920275340919814102191<50>
145351091738832752462107761351113457049563025712898988930667003<63>
factorization results 素因数分解の結果
Number: 47777_202
N=1812327796811753621163200021922067097052888721647496808031500412932013350729735549051173339843739136511233703573
  ( 112 digits)
Divisors found:
 r1=12468621839237019750134274632920275340919814102191
 r2=145351091738832752462107761351113457049563025712898988930667003
Version: 
Total time: 11.29 hours.
Scaled time: 26.94 units (timescale=2.387).
Factorization parameters were as follows:
name: 47777_202
n: 1812327796811753621163200021922067097052888721647496808031500412932013350729735549051173339843739136511233703573
skew: 54094.49
# norm 4.44e+15
c5: 7680
c4: 3175216088
c3: -75687149631190
c2: -7247399479012978327
c1: 75161386214624790981960
c0: 3589599881379885118000877349
# alpha -6.21
Y1: 937728520817
Y0: -2982385752308822800816
# Murphy_E 7.94e-10
# M 452990686981099005718217834527867984953168050273452541942955949321535635220026936614575740434782683652135110614
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1200000, 2040001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8532087
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 384054 x 384302
Polynomial selection time: 0.87 hours.
Total sieving time: 9.47 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,51,51,2.6,2.6,60000
total time: 11.29 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672360)
Calibrating delay using timer specific routine.. 5344.08 BogoMIPS (lpj=2672043)
Calibrating delay using timer specific routine.. 5237.82 BogoMIPS (lpj=2618912)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)

43×10203-79

c167

name 名前Serge Batalov
date 日付January 28, 2009 17:50:41 UTC 2009 年 1 月 29 日 (木) 2 時 50 分 41 秒 (日本時間)
composite number 合成数
21863555755088029433730817494626466642214438152130570388670907894500227046563217432929076365045004043270948674389243385523071195421867008207311863136391377388444662813<167>
prime factors 素因数
2334561165143153784276485597559959244336157<43>
composite cofactor 合成数の残り
9365167244931605937271157091977652941532850887100421862106964322653891953074392906416380032956187565261989128184595620958209<124>
factorization results 素因数分解の結果
Using B1=5000000, B2=23417929090, polynomial Dickson(12), sigma=3473665096
Step 1 took 22798ms
Step 2 took 19003ms
********** Factor found in step 2: 2334561165143153784276485597559959244336157
Found probable prime factor of 43 digits: 2334561165143153784276485597559959244336157
Composite cofactor 9365167244931605937271157091977652941532850887100421862106964322653891953074392906416380032956187565261989128184595620958209 has 124 digits
software ソフトウェア
GMP-ECM 6.2.1

c124

name 名前Lionel Debroux
date 日付October 6, 2009 12:29:24 UTC 2009 年 10 月 6 日 (火) 21 時 29 分 24 秒 (日本時間)
composite number 合成数
9365167244931605937271157091977652941532850887100421862106964322653891953074392906416380032956187565261989128184595620958209<124>
prime factors 素因数
375528253117018963232975349935219398139299723906573412769943<60>
24938648869152625653899078805207205944348712733762951036782202663<65>
factorization results 素因数分解の結果
Number: 47777_203
N=9365167244931605937271157091977652941532850887100421862106964322653891953074392906416380032956187565261989128184595620958209
  ( 124 digits)
Divisors found:
 r1=375528253117018963232975349935219398139299723906573412769943 (pp60)
 r2=24938648869152625653899078805207205944348712733762951036782202663 (pp65)
Version: Msieve v. 1.43
Total time: 124.36 hours.
Scaled time: 263.27 units (timescale=2.117).
Factorization parameters were as follows:
# Murphy_E = 1.720399e-10, selected by Jeff Gilchrist
n: 9365167244931605937271157091977652941532850887100421862106964322653891953074392906416380032956187565261989128184595620958209
Y0: -791009809091308516245887
Y1: 36802700256773
c0: 14133203719709143941404877603600
c1: 178200169790415316254562260
c2: -3251458876158126409286
c3: 3149167561132455
c4: 36525171834
c5: 30240
skew: 289012.3
type: gnfs
# selected mechanically
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3350000, 6750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 798924 x 799149
Total sieving time: 120.74 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.58 hours.
Time per square root: 1.89 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6700000,6700000,27,27,52,52,2.5,2.5,100000
total time: 124.36 hours.
 --------- CPU info (if available) ----------
[    0.029439] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101689] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2043420k/2096800k available (7091k kernel code, 452k absent, 52268k reserved, 3271k data, 540k init)
[    0.000999] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.57 BogoMIPS (lpj=1995288)
[    0.000999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102027] Total of 2 processors activated (7980.40 BogoMIPS).
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Erik BrangerJanuary 27, 2009 17:31:01 UTC 2009 年 1 月 28 日 (水) 2 時 31 分 1 秒 (日本時間)

43×10204-79

c164

name 名前Serge Batalov
date 日付January 27, 2009 16:36:57 UTC 2009 年 1 月 28 日 (水) 1 時 36 分 57 秒 (日本時間)
composite number 合成数
69106161408526703164967068613428867322995617450218368629836212200192560941896832431130191192921493561896056136422990294289500958277687069562668017204720548884066757<164>
prime factors 素因数
707556978655308658653936630923687<33>
97668687460140583325533653402275318211878194887345665390224627878545528890196304695329982444456944390617538106202072842223345362611<131>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=4048053174
Step 1 took 900ms
Step 2 took 592ms
********** Factor found in step 2: 707556978655308658653936630923687
Found probable prime factor of 33 digits: 707556978655308658653936630923687
Probable prime cofactor has 131 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)

43×10206-79

c142

name 名前Serge Batalov
date 日付January 27, 2009 18:40:41 UTC 2009 年 1 月 28 日 (水) 3 時 40 分 41 秒 (日本時間)
composite number 合成数
8723288610647517197527756171948341705321824313191321225094558710330342975466993680395931955903102859094355495091889584532606869797036104870227<142>
prime factors 素因数
9979120019997928268416395684139<31>
composite cofactor 合成数の残り
874154093062940053723423566083923324074453222353223316638756093434022663299154755490033595932211400153439132793<111>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=748490644
Step 1 took 1189ms
Step 2 took 740ms
********** Factor found in step 2: 9979120019997928268416395684139
Found probable prime factor of 31 digits: 9979120019997928268416395684139
software ソフトウェア
GMP-ECM 6.2.1

c111

name 名前Jo Yeong Uk
date 日付January 29, 2009 22:10:58 UTC 2009 年 1 月 30 日 (金) 7 時 10 分 58 秒 (日本時間)
composite number 合成数
874154093062940053723423566083923324074453222353223316638756093434022663299154755490033595932211400153439132793<111>
prime factors 素因数
2075634083079828998567220764778928732800821<43>
421150384930020461727145617061926763309795192374704172359381305111733<69>
factorization results 素因数分解の結果
Number: 47777_206
N=874154093062940053723423566083923324074453222353223316638756093434022663299154755490033595932211400153439132793
  ( 111 digits)
Divisors found:
 r1=2075634083079828998567220764778928732800821
 r2=421150384930020461727145617061926763309795192374704172359381305111733
Version: 
Total time: 10.14 hours.
Scaled time: 24.15 units (timescale=2.382).
Factorization parameters were as follows:
name: 47777_206
n: 874154093062940053723423566083923324074453222353223316638756093434022663299154755490033595932211400153439132793
skew: 30687.16
# norm 3.99e+15
c5: 113400
c4: 2920482650
c3: -302366368859399
c2: -2625363309198789138
c1: 137037003928894478826152
c0: 801887937814693936058974480
# alpha -6.60
Y1: 274783993297
Y0: -1504508271055678830873
# Murphy_E 8.66e-10
# M 33913588752037023001154899934271482323043432368019170082195613568306518138961385112480392869526368209010001248
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8166464
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 386617 x 386865
Polynomial selection time: 0.76 hours.
Total sieving time: 8.40 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 10.14 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046968k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672360)
Calibrating delay using timer specific routine.. 5344.08 BogoMIPS (lpj=2672043)
Calibrating delay using timer specific routine.. 5237.82 BogoMIPS (lpj=2618912)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)

43×10207-79

c178

name 名前Ignacio Santos
date 日付September 14, 2010 20:12:53 UTC 2010 年 9 月 15 日 (水) 5 時 12 分 53 秒 (日本時間)
composite number 合成数
5684985121785899474438592801062600816063596045496953098922302431650969220810279684174333749164582170291031297140419628406687748414986302427267303411675760804315075354205616922913<178>
prime factors 素因数
16935236987912312958773394449117661612869<41>
335689729399335354230460703470719936240682720063041369072081708346441337221366204439071539256576878162993159346463986037560038256139628077<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2971075792
Step 1 took 91104ms
Step 2 took 41528ms
********** Factor found in step 2: 16935236987912312958773394449117661612869
Found probable prime factor of 41 digits: 16935236987912312958773394449117661612869
Probable prime cofactor 335689729399335354230460703470719936240682720063041369072081708346441337221366204439071539256576878162993159346463986037560038256139628077 has 138 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
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)

43×10210-79

c182

name 名前matsui
date 日付August 28, 2011 13:34:21 UTC 2011 年 8 月 28 日 (日) 22 時 34 分 21 秒 (日本時間)
composite number 合成数
23337464674702995330480445674284920787852638705431550115158243499099314489973279985628316733133095019103724758105728594109159839196033151616765317050945483740092205462401572796273881<182>
prime factors 素因数
447019218689256574067382428614332436304711730008251566727<57>
52206848607388243689553252029266731902286716640124312733282198343514613336900043929812018854706573321379695675389900069363103<125>
factorization results 素因数分解の結果
N=23337464674702995330480445674284920787852638705431550115158243499099314489973279985628316733133095019103724758105728594109159839196033151616765317050945483740092205462401572796273881
  ( 182 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=447019218689256574067382428614332436304711730008251566727 (pp57)
 r2=52206848607388243689553252029266731902286716640124312733282198343514613336900043929812018854706573321379695675389900069363103 (pp125)
Version: Msieve v. 1.50
Total time:
Scaled time: 209.10 units (timescale=1.484).
Factorization parameters were as follows:
n: 23337464674702995330480445674284920787852638705431550115158243499099314489973279985628316733133095019103724758105728594109159839196033151616765317050945483740092205462401572796273881
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 43
c0: -7
skew: 0.70
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [12000000, 30880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4748285 x 4748508
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,211.000,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time:
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 21:28:17 UTC 2010 年 9 月 15 日 (水) 6 時 28 分 17 秒 (日本時間)
403e6110 / 2144Ignacio SantosSeptember 14, 2010 21:28:17 UTC 2010 年 9 月 15 日 (水) 6 時 28 分 17 秒 (日本時間)
4511e632 / 4441Ignacio SantosSeptember 14, 2010 21:28:17 UTC 2010 年 9 月 15 日 (水) 6 時 28 分 17 秒 (日本時間)

43×10213-79

c153

name 名前Serge Batalov
date 日付January 28, 2009 17:49:32 UTC 2009 年 1 月 29 日 (木) 2 時 49 分 32 秒 (日本時間)
composite number 合成数
134685849692729957990131642317474515019929103925470657379372737015096256733245579874772589642182717175074950664718463649351359654504151751588005889573297<153>
prime factors 素因数
3526680938895455431728898504444220551<37>
38190540064821716358063950502102091512430090081925348378008427894317449358648344734268599001413164789278233232637447<116>
factorization results 素因数分解の結果
Using B1=5000000, B2=11416314010, polynomial Dickson(12), sigma=2511989336
Step 1 took 15349ms
Step 2 took 9332ms
********** Factor found in step 2: 3526680938895455431728898504444220551
Found probable prime factor of 37 digits: 3526680938895455431728898504444220551
Probable prime cofactor 38190540064821716358063950502102091512430090081925348378008427894317449358648344734268599001413164789278233232637447 has 116 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)

43×10215-79

c136

name 名前Dmitry Domanov
date 日付August 8, 2011 07:20:27 UTC 2011 年 8 月 8 日 (月) 16 時 20 分 27 秒 (日本時間)
composite number 合成数
2207841030190554585460252072204964640229072917619531868383189745070442478968228423473154639071982225639380156579222713767206159126954467<136>
prime factors 素因数
311053808967088169326468088483439552202208701537264507<54>
7097939219976440665284178732062980622519382846959040322402546024602565986356804281<82>
factorization results 素因数分解の結果
N=2207841030190554585460252072204964640229072917619531868383189745070442478968228423473154639071982225639380156579222713767206159126954467
  ( 136 digits)
Divisors found:
 r1=311053808967088169326468088483439552202208701537264507 (pp54)
 r2=7097939219976440665284178732062980622519382846959040322402546024602565986356804281 (pp82)
Version: Msieve-1.40
Total time: 325.20 hours.
Scaled time: 634.80 units (timescale=1.952).
Factorization parameters were as follows:
# Murphy_E = 3.764431e-11, selected by Jeff Gilchrist
n: 2207841030190554585460252072204964640229072917619531868383189745070442478968228423473154639071982225639380156579222713767206159126954467
Y0: -124262160057903236137264105
Y1: 1323277366671947
c0: 2841680698820019263896428682763856
c1: 6144454614164526235541628720
c2: -15087325150672164750400
c3: -97856575158651320
c4: 7415452329
c5: 74520
skew: 731103.49
type: gnfs
# selected mechanically
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 360000Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [6800000, 11120001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1706500 x 1706724
Total sieving time: 321.26 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.35 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13600000,13600000,28,28,55,55,2.6,2.6,100000
total time: 325.20 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
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e60--
403e62336900Dmitry DomanovMay 6, 2009 18:30:52 UTC 2009 年 5 月 7 日 (木) 3 時 30 分 52 秒 (日本時間)
300Dmitry DomanovMay 6, 2009 21:38:32 UTC 2009 年 5 月 7 日 (木) 6 時 38 分 32 秒 (日本時間)
1136Wataru SakaiNovember 30, 2009 15:09:11 UTC 2009 年 12 月 1 日 (火) 0 時 9 分 11 秒 (日本時間)
4511e64000Wataru SakaiAugust 14, 2010 04:22:34 UTC 2010 年 8 月 14 日 (土) 13 時 22 分 34 秒 (日本時間)

43×10218-79

c171

composite cofactor 合成数の残り
262234777106876320316845055651816891203948889707215001801151882090192776892731892132821615376356151282087608726542216003438225771452366090093383210604866824413679298578631<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 14, 2010 22:19:10 UTC 2010 年 9 月 15 日 (水) 7 時 19 分 10 秒 (日本時間)
403e62202110Ignacio SantosSeptember 14, 2010 22:19:10 UTC 2010 年 9 月 15 日 (水) 7 時 19 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:18 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 18 秒 (日本時間)
1792Youcef LemsaferJanuary 12, 2014 16:28:10 UTC 2014 年 1 月 13 日 (月) 1 時 28 分 10 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 14, 2010 22:19:10 UTC 2010 年 9 月 15 日 (水) 7 時 19 分 10 秒 (日本時間)
2109Youcef LemsaferJanuary 14, 2014 06:55:28 UTC 2014 年 1 月 14 日 (火) 15 時 55 分 28 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 16, 2014 19:37:49 UTC 2014 年 1 月 17 日 (金) 4 時 37 分 49 秒 (日本時間)
38KTakahashiApril 12, 2014 11:04:24 UTC 2014 年 4 月 12 日 (土) 20 時 4 分 24 秒 (日本時間)

43×10220-79

c206

name 名前Serge Batalov
date 日付January 27, 2009 16:26:14 UTC 2009 年 1 月 28 日 (水) 1 時 26 分 14 秒 (日本時間)
composite number 合成数
34279424892737131012994015785235495972981925535183248365424252776055587060151025021223575831013597252847825737932168354703821024629748951476405137596328920525315628014769854960572040910133135491259807032267<206>
prime factors 素因数
3502562889301427433586357821611<31>
9786954860237792671607046950183269287102623628043042827218853752548798081325699178457017851643964035536282843620014130674361843688073589623733707551549094537798547254146976097<175>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3982886919
Step 1 took 6067ms
Step 2 took 5661ms
********** Factor found in step 2: 3502562889301427433586357821611
Found probable prime factor of 31 digits: 3502562889301427433586357821611
Probable prime cofactor has 175 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)

43×10221-79

c206

name 名前Youcef Lemsafer
date 日付January 14, 2014 07:06:16 UTC 2014 年 1 月 14 日 (火) 16 時 6 分 16 秒 (日本時間)
composite number 合成数
11254477135017500619910604618310135349730785436492132313589352078210862452789045232021093406117000984456442566726308903603634553108623418240001719419282488225584773633006282227125197988646393374929738510009<206>
prime factors 素因数
3041095278745226374546983608032050519555834420712241<52>
composite cofactor 合成数の残り
3700797279742305028890616540084401838466031695775780746121754731339938425476589293458852771981934939850490140042287124981715979677378300109040541841482249<154>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-gpu] [ECM]
Input number is (43*10^221-7)/(9*3*8209*1723808875939) (206 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 1 is required.
GPU: will use device 1: GeForce GTX 660, compute capability 3.0, 5 MPs.
GPU: Selection and initialization of the device took 16ms
Using B1=31000000, B2=0, sigma=3:3272072172-3:3272072971 (800 curves)
dF=0, k=0, d=3539504, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
775     4798    33258   254650  2131042 1.9e+007        1.9e+008        1.6e+009        2.9e+010        Inf
Computing 800 Step 1 took 157607ms of CPU time / 29639112ms of GPU time
Throughput: 0.027 curves by second (on average 37048.89ms by Step 1)
Expected time to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
7.98h   2.06d   14.26d  109.19d 2.50y   22.74y  221.94y 1929y   34506y  Inf

Resuming ECM residue saved by ******@****** with GMP-ECM 7.0-dev on Tue Jan 14 06:48:00 2014 
Input number is (43*10^221-7)/(9*3*8209*1723808875939) (206 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=31000000-31000000, B2=144289975846, polynomial Dickson(12), sigma=3:3272072351
dF=65536, k=3, d=690690, d2=17, i0=28
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
76      364     2028    12790   89332   692068  5848035 5.3e+007        5.3e+008        5.6e+009
Step 1 took 0ms
Using 25 small primes for NTT
Estimated memory usage: 277M
Initializing tables of differences for F took 125ms
Computing roots of F took 7956ms
Building F from its roots took 10358ms
Computing 1/F took 5101ms
Initializing table of differences for G took 156ms
Computing roots of G took 6412ms
Building G from its roots took 10920ms
Computing roots of G took 6505ms
Building G from its roots took 10951ms
Computing G * H took 2683ms
Reducing  G * H mod F took 2714ms
Computing roots of G took 6427ms
Building G from its roots took 10983ms
Computing G * H took 2590ms
Reducing  G * H mod F took 2683ms
Computing polyeval(F,G) took 19142ms
Computing product of all F(g_i) took 93ms
Step 2 took 106299ms
********** Factor found in step 2: 3041095278745226374546983608032050519555834420712241
Found probable prime factor of 52 digits: 3041095278745226374546983608032050519555834420712241
Composite cofactor ((43*10^221-7)/(9*3*8209*1723808875939))/3041095278745226374546983608032050519555834420712241 has 154 digits
execution environment 実行環境
Windows 7 Pro 64-bit, 2x Intel Xeon E5-2620 @ 2.0 GHz, 2x NVIDIA GeForce GTX 660, 32GB RAM

c154

name 名前Erik Branger
date 日付December 30, 2017 13:44:40 UTC 2017 年 12 月 30 日 (土) 22 時 44 分 40 秒 (日本時間)
composite number 合成数
3700797279742305028890616540084401838466031695775780746121754731339938425476589293458852771981934939850490140042287124981715979677378300109040541841482249<154>
prime factors 素因数
2082226041630196162907901336629585217846193557558096807326775019064654483767<76>
1777327343790644752868336552643037929094411907465811227765848789748262479955647<79>
factorization results 素因数分解の結果
Number: 47777_221
N = 3700797279742305028890616540084401838466031695775780746121754731339938425476589293458852771981934939850490140042287124981715979677378300109040541841482249 (154 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2082226041630196162907901336629585217846193557558096807326775019064654483767 (pp76)
r2=1777327343790644752868336552643037929094411907465811227765848789748262479955647 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 88.48 hours.
Factorization parameters were as follows:
n: 3700797279742305028890616540084401838466031695775780746121754731339938425476589293458852771981934939850490140042287124981715979677378300109040541841482249
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 430
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 28439285
Relations: 9602726 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 43.99 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 8308707 x 8308932
Matrix solve time: 44.00 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 88.48 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 06:23:29 UTC 2010 年 9 月 15 日 (水) 15 時 23 分 29 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 06:23:29 UTC 2010 年 9 月 15 日 (水) 15 時 23 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:19 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 19 秒 (日本時間)
1792Youcef LemsaferJanuary 12, 2014 18:15:12 UTC 2014 年 1 月 13 日 (月) 3 時 15 分 12 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 06:23:29 UTC 2010 年 9 月 15 日 (水) 15 時 23 分 29 秒 (日本時間)
2109Youcef LemsaferJanuary 14, 2014 07:02:44 UTC 2014 年 1 月 14 日 (火) 16 時 2 分 44 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 16, 2014 19:38:25 UTC 2014 年 1 月 17 日 (金) 4 時 38 分 25 秒 (日本時間)
38KTakahashiApril 7, 2014 12:09:43 UTC 2014 年 4 月 7 日 (月) 21 時 9 分 43 秒 (日本時間)

43×10223-79

c172

name 名前Youcef Lemsafer
date 日付January 14, 2014 14:35:31 UTC 2014 年 1 月 14 日 (火) 23 時 35 分 31 秒 (日本時間)
composite number 合成数
2159198266542998720753663309385483711956974983348243052070568126736393921110956019933472250460560684326464028916812409596839877775300353728502547239322499241742067695496659<172>
prime factors 素因数
14247275286795522284436061281388491690632569943<47>
151551663253405321713682624536270436626459648630211246285215467933055195276055115822328897493576807216040347330165511355331813<126>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-gpu] [ECM]
Input number is (43*10^223-7)/(9*53*28181*774131*1014447066673*18865021475463176645417058017) (172 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 660, compute capability 3.0, 5 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=31000000, B2=0, sigma=3:948049868-3:948050667 (800 curves)
dF=0, k=0, d=7, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
775     4798    33258   254650  2131042 1.9e+007        1.9e+008        1.6e+009        2.9e+010        Inf
Computing 800 Step 1 took 144503ms of CPU time / 29727436ms of GPU time
Throughput: 0.027 curves by second (on average 37159.30ms by Step 1)
Expected time to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
8.00h   2.06d   14.30d  109.52d 2.51y   22.81y  222.60y 1935y   34609y  Inf

Resuming ECM residue saved by ******@****** with GMP-ECM 7.0-dev on Tue Jan 14 13:01:22 2014 
Input number is (43*10^223-7)/(9*53*28181*774131*1014447066673*18865021475463176645417058017) (172 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=31000000-31000000, B2=144289975846, polynomial Dickson(12), sigma=3:948050268
dF=65536, k=3, d=690690, d2=17, i0=28
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
76      364     2028    12790   89332   692068  5848035 5.3e+007        5.3e+008        5.6e+009
Step 1 took 15ms
Using 21 small primes for NTT
Estimated memory usage: 234M
Initializing tables of differences for F took 78ms
Computing roots of F took 6489ms
Building F from its roots took 8237ms
Computing 1/F took 3962ms
Initializing table of differences for G took 109ms
Computing roots of G took 5133ms
Building G from its roots took 8408ms
Computing roots of G took 4977ms
Building G from its roots took 8424ms
Computing G * H took 2044ms
Reducing  G * H mod F took 2152ms
Computing roots of G took 4977ms
Building G from its roots took 8408ms
Computing G * H took 2106ms
Reducing  G * H mod F took 2215ms
Computing polyeval(F,G) took 15413ms
Computing product of all F(g_i) took 78ms
Step 2 took 83617ms
********** Factor found in step 2: 14247275286795522284436061281388491690632569943
Found probable prime factor of 47 digits: 14247275286795522284436061281388491690632569943
Probable prime cofactor ((43*10^223-7)/(9*53*28181*774131*1014447066673*18865021475463176645417058017))/14247275286795522284436061281388491690632569943 has 126 digits
execution environment 実行環境
Windows 7 Pro 64-bit, 2x Intel Xeon E5-2620 @ 2.0 GHz, 2x NVIDIA GeForce GTX 660, 32 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 06:23:56 UTC 2010 年 9 月 15 日 (水) 15 時 23 分 56 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 06:23:56 UTC 2010 年 9 月 15 日 (水) 15 時 23 分 56 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:19 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 19 秒 (日本時間)
1792Youcef LemsaferJanuary 12, 2014 19:34:37 UTC 2014 年 1 月 13 日 (月) 4 時 34 分 37 秒 (日本時間)
4511e61703 / 397832Ignacio SantosSeptember 15, 2010 06:23:56 UTC 2010 年 9 月 15 日 (水) 15 時 23 分 56 秒 (日本時間)
1671Youcef LemsaferJanuary 14, 2014 14:33:14 UTC 2014 年 1 月 14 日 (火) 23 時 33 分 14 秒 (日本時間)

43×10225-79

c183

composite cofactor 合成数の残り
646441207525626975232845620158329461065780360714981794155155140335006686812034109288940147081298715170692723331561576460337390257265785110779815729680288772666197558161989394002284139<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 06:24:26 UTC 2010 年 9 月 15 日 (水) 15 時 24 分 26 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 06:24:26 UTC 2010 年 9 月 15 日 (水) 15 時 24 分 26 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:20 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 20 秒 (日本時間)
1792Youcef LemsaferJanuary 12, 2014 21:10:07 UTC 2014 年 1 月 13 日 (月) 6 時 10 分 7 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 06:24:26 UTC 2010 年 9 月 15 日 (水) 15 時 24 分 26 秒 (日本時間)
2109Youcef LemsaferJanuary 14, 2014 15:39:19 UTC 2014 年 1 月 15 日 (水) 0 時 39 分 19 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 17, 2014 07:06:47 UTC 2014 年 1 月 17 日 (金) 16 時 6 分 47 秒 (日本時間)
38KTakahashiApril 14, 2014 09:04:37 UTC 2014 年 4 月 14 日 (月) 18 時 4 分 37 秒 (日本時間)

43×10226-79

c226

name 名前RSALS + Jeff Gilchrist
date 日付February 24, 2011 13:27:28 UTC 2011 年 2 月 24 日 (木) 22 時 27 分 28 秒 (日本時間)
composite number 合成数
2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883<226>
prime factors 素因数
1016460055011415796418611300341184448066783117227055235928466346212120820088385661<82>
2473899363426233351611258262985515245433202437016340358154253081542326756853623441434265747623213661187099697242209832348580931599291867712288903<145>
factorization results 素因数分解の結果
<sieving on the RSALS grid>

<filtering by Jeff Gilchrist>

Sat Feb 19 19:22:33 2011  Msieve v. 1.48
Sat Feb 19 19:22:33 2011  random seeds: 7b2cfd83 3a840734
Sat Feb 19 19:22:33 2011  MPI process 0 of 25
Sat Feb 19 19:22:33 2011  factoring
2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883
(226 digits)
Sat Feb 19 19:22:35 2011  no P-1/P+1/ECM available, skipping
Sat Feb 19 19:22:35 2011  commencing number field sieve (226-digit input)
Sat Feb 19 19:22:35 2011  R0: -10000000000000000000000000000000000000
Sat Feb 19 19:22:35 2011  R1:  1
Sat Feb 19 19:22:35 2011  A0: -7
Sat Feb 19 19:22:35 2011  A1:  0
Sat Feb 19 19:22:35 2011  A2:  0
Sat Feb 19 19:22:35 2011  A3:  0
Sat Feb 19 19:22:35 2011  A4:  0
Sat Feb 19 19:22:35 2011  A5:  0
Sat Feb 19 19:22:35 2011  A6:  430000
Sat Feb 19 19:22:35 2011  skew 0.16, size 2.179e-11, alpha -1.900,
combined = 1.138e-12 rroots = 2
Sat Feb 19 19:22:35 2011
Sat Feb 19 19:22:35 2011  commencing linear algebra
Sat Feb 19 19:22:35 2011  initialized process (0,0) of 5 x 5 grid
Sat Feb 19 19:22:38 2011  read 5860705 cycles
Sat Feb 19 19:22:54 2011  cycles contain 16443107 unique relations
Sat Feb 19 19:27:05 2011  read 16443107 relations
Sat Feb 19 19:27:48 2011  using 20 quadratic characters above 1073737242
Sat Feb 19 19:29:09 2011  building initial matrix
Sat Feb 19 19:34:22 2011  memory use: 2172.4 MB
Sat Feb 19 19:34:33 2011  read 5860705 cycles
Sat Feb 19 19:34:34 2011  matrix is 5860526 x 5860705 (1952.9 MB) with
weight 573681918 (97.89/col)
Sat Feb 19 19:34:34 2011  sparse part has weight 447476324 (76.35/col)
Sat Feb 19 19:35:42 2011  filtering completed in 1 passes
Sat Feb 19 19:35:43 2011  matrix is 5860526 x 5860705 (1952.9 MB) with
weight 573681918 (97.89/col)
Sat Feb 19 19:35:43 2011  sparse part has weight 447476324 (76.35/col)
Sat Feb 19 19:36:43 2011  matrix starts at (0, 0)
Sat Feb 19 19:36:43 2011  matrix is 1172198 x 1039795 (122.5 MB) with
weight 42759959 (41.12/col)
Sat Feb 19 19:36:43 2011  sparse part has weight 20671663 (19.88/col)
Sat Feb 19 19:36:43 2011  saving the first 48 matrix rows for later
Sat Feb 19 19:36:43 2011  matrix includes 64 packed rows
Sat Feb 19 19:37:36 2011  matrix is 1172150 x 1039795 (106.3 MB) with
weight 24404657 (23.47/col)
Sat Feb 19 19:37:36 2011  sparse part has weight 17480889 (16.81/col)
Sat Feb 19 19:37:36 2011  using block size 262144 for processor cache
size 6144 kB
Sat Feb 19 19:37:37 2011  commencing Lanczos iteration
Sat Feb 19 19:37:37 2011  memory use: 130.9 MB
Sat Feb 19 19:38:23 2011  linear algebra at 0.0%, ETA 44h56m
Sat Feb 19 19:38:38 2011  checkpointing every 130000 dimensions
Mon Feb 21 09:04:07 2011  lanczos halted after 92679 iterations (dim = 5860478)
Mon Feb 21 18:25:33 2011
Mon Feb 21 18:25:33 2011
Mon Feb 21 18:25:33 2011  Msieve v. 1.48
Mon Feb 21 18:25:33 2011  random seeds: f636a4cf 6b4b92eb
Mon Feb 21 18:25:33 2011  MPI process 0 of 25
Mon Feb 21 18:25:33 2011  factoring
2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883
(226 digits)
Mon Feb 21 18:25:35 2011  no P-1/P+1/ECM available, skipping
Mon Feb 21 18:25:35 2011  commencing number field sieve (226-digit input)
Mon Feb 21 18:25:35 2011  R0: -10000000000000000000000000000000000000
Mon Feb 21 18:25:35 2011  R1:  1
Mon Feb 21 18:25:35 2011  A0: -7
Mon Feb 21 18:25:35 2011  A1:  0
Mon Feb 21 18:25:35 2011  A2:  0
Mon Feb 21 18:25:35 2011  A3:  0
Mon Feb 21 18:25:35 2011  A4:  0
Mon Feb 21 18:25:35 2011  A5:  0
Mon Feb 21 18:25:35 2011  A6:  430000
Mon Feb 21 18:25:35 2011  skew 0.16, size 2.179e-11, alpha -1.900,
combined = 1.138e-12 rroots = 2
Mon Feb 21 18:25:35 2011
Mon Feb 21 18:25:35 2011  commencing linear algebra
Mon Feb 21 18:25:36 2011  initialized process (0,0) of 5 x 5 grid
Mon Feb 21 18:26:10 2011  matrix starts at (0, 0)
Mon Feb 21 18:26:10 2011  matrix is 1172198 x 1039795 (122.5 MB) with
weight 42759959 (41.12/col)
Mon Feb 21 18:26:10 2011  sparse part has weight 20671663 (19.88/col)
Mon Feb 21 18:26:10 2011  saving the first 48 matrix rows for later
Mon Feb 21 18:26:10 2011  matrix includes 64 packed rows
Mon Feb 21 18:27:01 2011  matrix is 1172150 x 1039795 (106.3 MB) with
weight 24404657 (23.47/col)
Mon Feb 21 18:27:01 2011  sparse part has weight 17480889 (16.81/col)
Mon Feb 21 18:27:01 2011  using block size 262144 for processor cache
size 6144 kB
Mon Feb 21 18:27:02 2011  commencing Lanczos iteration
Mon Feb 21 18:27:02 2011  memory use: 130.9 MB
Mon Feb 21 18:27:13 2011  restarting at iteration 92512 (dim = 5850000)
Mon Feb 21 18:27:43 2011  linear algebra at 99.8%, ETA 0h 3m
Mon Feb 21 18:27:54 2011  checkpointing every 180000 dimensions
Mon Feb 21 18:30:45 2011  lanczos halted after 92679 iterations (dim = 5860478)
Mon Feb 21 18:30:55 2011  recovered 38 nontrivial dependencies
Mon Feb 21 18:30:55 2011  BLanczosTime: 320
Mon Feb 21 18:30:55 2011  elapsed time 00:05:22
Tue Feb 22 07:21:15 2011  Msieve v. 1.48
Tue Feb 22 07:21:15 2011  random seeds: 3910e9ae 8a6c0b4f
Tue Feb 22 07:21:15 2011  factoring
2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883
(226 digits)
Tue Feb 22 07:21:18 2011  no P-1/P+1/ECM available, skipping
Tue Feb 22 07:21:18 2011  commencing number field sieve (226-digit input)
Tue Feb 22 07:21:18 2011  R0: -10000000000000000000000000000000000000
Tue Feb 22 07:21:18 2011  R1:  1
Tue Feb 22 07:21:18 2011  A0: -7
Tue Feb 22 07:21:18 2011  A1:  0
Tue Feb 22 07:21:18 2011  A2:  0
Tue Feb 22 07:21:18 2011  A3:  0
Tue Feb 22 07:21:18 2011  A4:  0
Tue Feb 22 07:21:18 2011  A5:  0
Tue Feb 22 07:21:18 2011  A6:  430000
Tue Feb 22 07:21:18 2011  skew 0.16, size 2.179e-11, alpha -1.900,
combined = 1.138e-12 rroots = 2
Tue Feb 22 07:21:18 2011
Tue Feb 22 07:21:18 2011  commencing square root phase
Tue Feb 22 07:21:18 2011  reading relations for dependency 1
Tue Feb 22 07:21:21 2011  read 2929121 cycles
Tue Feb 22 07:21:30 2011  cycles contain 8218314 unique relations
Tue Feb 22 07:26:33 2011  read 8218314 relations
Tue Feb 22 07:27:45 2011  multiplying 8218314 relations
Tue Feb 22 07:48:08 2011  multiply complete, coefficients have about
344.51 million bits
Tue Feb 22 07:48:11 2011  initial square root is modulo 1519201
Tue Feb 22 08:13:37 2011  sqrtTime: 3139
Tue Feb 22 08:13:37 2011  prp82 factor:
1016460055011415796418611300341184448066783117227055235928466346212120820088385661
Tue Feb 22 08:13:37 2011  prp145 factor:
2473899363426233351611258262985515245433202437016340358154253081542326756853623441434265747623213661187099697242209832348580931599291867712288903
Tue Feb 22 08:13:37 2011  elapsed time 00:52:22
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6800Serge BatalovJanuary 28, 2009 23:34:47 UTC 2009 年 1 月 29 日 (木) 8 時 34 分 47 秒 (日本時間)
4511e64540310Serge BatalovJanuary 28, 2009 23:34:47 UTC 2009 年 1 月 29 日 (木) 8 時 34 分 47 秒 (日本時間)
700Dmitry DomanovApril 8, 2010 03:18:16 UTC 2010 年 4 月 8 日 (木) 12 時 18 分 16 秒 (日本時間)
3530Dmitry DomanovApril 11, 2010 19:36:47 UTC 2010 年 4 月 12 日 (月) 4 時 36 分 47 秒 (日本時間)
5043e60--
5511e72710 / 17479yoyo@homeSeptember 13, 2010 06:10:36 UTC 2010 年 9 月 13 日 (月) 15 時 10 分 36 秒 (日本時間)

43×10227-79

c212

composite cofactor 合成数の残り
61442206529043889798511661189828252117796614689695151690169043640612781510235094663334224008521698579298722982533969117848109527240874593665515163967943367406043132094367681131480561070284492018507488575950745349<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 06:25:10 UTC 2010 年 9 月 15 日 (水) 15 時 25 分 10 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 06:25:10 UTC 2010 年 9 月 15 日 (水) 15 時 25 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:21 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 21 秒 (日本時間)
1792Youcef LemsaferJanuary 12, 2014 22:35:46 UTC 2014 年 1 月 13 日 (月) 7 時 35 分 46 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 06:25:10 UTC 2010 年 9 月 15 日 (水) 15 時 25 分 10 秒 (日本時間)
2109Youcef LemsaferJanuary 14, 2014 21:26:32 UTC 2014 年 1 月 15 日 (水) 6 時 26 分 32 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 17, 2014 07:07:24 UTC 2014 年 1 月 17 日 (金) 16 時 7 分 24 秒 (日本時間)
38KTakahashiApril 15, 2014 09:17:20 UTC 2014 年 4 月 15 日 (火) 18 時 17 分 20 秒 (日本時間)

43×10230-79

c229

name 名前Serge Batalov
date 日付January 27, 2009 18:45:12 UTC 2009 年 1 月 28 日 (水) 3 時 45 分 12 秒 (日本時間)
composite number 合成数
2181633688483003551496702181633688483003551496702181633688483003551496702181633688483003551496702181633688483003551496702181633688483003551496702181633688483003551496702181633688483003551496702181633688483003551496702181633688483<229>
prime factors 素因数
692730088823719508465086751<27>
composite cofactor 合成数の残り
3149327167508337424894687917653959013981952149120694102773275999128510834233614653207416330576776052801668066525911784723885214992039134786270169083745020741277257567117346186246575033521599505550100733<202>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3170109874
Step 1 took 1812ms
********** Factor found in step 1: 692730088823719508465086751
Found probable prime factor of 27 digits: 692730088823719508465086751
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 06:26:35 UTC 2010 年 9 月 15 日 (水) 15 時 26 分 35 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 06:26:35 UTC 2010 年 9 月 15 日 (水) 15 時 26 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:21 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 21 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 07:04:36 UTC 2014 年 1 月 13 日 (月) 16 時 4 分 36 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 06:26:35 UTC 2010 年 9 月 15 日 (水) 15 時 26 分 35 秒 (日本時間)
2109Youcef LemsaferJanuary 14, 2014 23:17:34 UTC 2014 年 1 月 15 日 (水) 8 時 17 分 34 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 17, 2014 15:59:51 UTC 2014 年 1 月 18 日 (土) 0 時 59 分 51 秒 (日本時間)
38KTakahashiApril 15, 2014 09:17:37 UTC 2014 年 4 月 15 日 (火) 18 時 17 分 37 秒 (日本時間)

43×10232-79

c195

composite cofactor 合成数の残り
143711453017754604196206977949762846631230285814216728906616557268767379791973167737569188096344851360528760944492526775988287223481380704306934506611127912912961348865345521271974660131606215561<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 06:27:12 UTC 2010 年 9 月 15 日 (水) 15 時 27 分 12 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 06:27:12 UTC 2010 年 9 月 15 日 (水) 15 時 27 分 12 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:22 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 22 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 07:05:22 UTC 2014 年 1 月 13 日 (月) 16 時 5 分 22 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 06:27:12 UTC 2010 年 9 月 15 日 (水) 15 時 27 分 12 秒 (日本時間)
2109Youcef LemsaferJanuary 15, 2014 08:10:55 UTC 2014 年 1 月 15 日 (水) 17 時 10 分 55 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 17, 2014 16:00:15 UTC 2014 年 1 月 18 日 (土) 1 時 0 分 15 秒 (日本時間)
38KTakahashiApril 15, 2014 09:17:51 UTC 2014 年 4 月 15 日 (火) 18 時 17 分 51 秒 (日本時間)

43×10233-79

c184

composite cofactor 合成数の残り
7572140437051300824771445285077810969227788664665662325906650440060857477453622023897416949284624564983002473378062312818988253120414613153092824442232032803144528433132381178515442217<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 13:17:45 UTC 2010 年 9 月 15 日 (水) 22 時 17 分 45 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 13:17:45 UTC 2010 年 9 月 15 日 (水) 22 時 17 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:22 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 22 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 07:06:13 UTC 2014 年 1 月 13 日 (月) 16 時 6 分 13 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 13:17:45 UTC 2010 年 9 月 15 日 (水) 22 時 17 分 45 秒 (日本時間)
2109Youcef LemsaferJanuary 15, 2014 08:12:24 UTC 2014 年 1 月 15 日 (水) 17 時 12 分 24 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 18, 2014 07:50:26 UTC 2014 年 1 月 18 日 (土) 16 時 50 分 26 秒 (日本時間)
38KTakahashiApril 14, 2014 09:05:00 UTC 2014 年 4 月 14 日 (月) 18 時 5 分 0 秒 (日本時間)

43×10234-79

c200

name 名前Serge Batalov
date 日付January 28, 2009 06:10:03 UTC 2009 年 1 月 28 日 (水) 15 時 10 分 3 秒 (日本時間)
composite number 合成数
14790905787019117226178863844880653666357468350762679635947866974423951580519090573214009308982960975461138312966079186620819278624457612421365928952374487412934990503811509818270710362407812109755969<200>
prime factors 素因数
192264712908627279576854165210309221783217<42>
composite cofactor 合成数の残り
76929903377789411516700093310652483045899848288680400340995715116837047878585117428117743576767502256527687059432257791095117914169589812646186467347998067857<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3778725536
Step 1 took 14404ms
Step 2 took 2805ms
********** Factor found in step 2: 192264712908627279576854165210309221783217
Found probable prime factor of 42 digits: 192264712908627279576854165210309221783217
Composite cofactor has 158 digits
software ソフトウェア
GMP-ECM 6.2.1

c158

name 名前Serge Batalov
date 日付January 28, 2009 17:51:14 UTC 2009 年 1 月 29 日 (木) 2 時 51 分 14 秒 (日本時間)
composite number 合成数
76929903377789411516700093310652483045899848288680400340995715116837047878585117428117743576767502256527687059432257791095117914169589812646186467347998067857<158>
prime factors 素因数
41012255466950321646301229829861542741<38>
1875778410670032148125989730595334818323781272326288536827048138746736685097497248156417793124849522779165277155797324877<121>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=227219622
Step 1 took 50881ms
Step 2 took 33448ms
********** Factor found in step 2: 41012255466950321646301229829861542741
Found probable prime factor of 38 digits: 41012255466950321646301229829861542741
Probable prime cofactor 1875778410670032148125989730595334818323781272326288536827048138746736685097497248156417793124849522779165277155797324877 has 121 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)

43×10235-79

c184

composite cofactor 合成数の残り
2046660629524319917013119015608339320814878270647082067819927451418403433222734251160654337586731403472680287878902757705500352509096426043679526502568154042903339523473443810414848433<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 13:18:11 UTC 2010 年 9 月 15 日 (水) 22 時 18 分 11 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 13:18:11 UTC 2010 年 9 月 15 日 (水) 22 時 18 分 11 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:23 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 23 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 07:06:40 UTC 2014 年 1 月 13 日 (月) 16 時 6 分 40 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 13:18:11 UTC 2010 年 9 月 15 日 (水) 22 時 18 分 11 秒 (日本時間)
2109Youcef LemsaferJanuary 15, 2014 13:59:47 UTC 2014 年 1 月 15 日 (水) 22 時 59 分 47 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 18, 2014 07:51:19 UTC 2014 年 1 月 18 日 (土) 16 時 51 分 19 秒 (日本時間)
38KTakahashiApril 14, 2014 09:05:14 UTC 2014 年 4 月 14 日 (月) 18 時 5 分 14 秒 (日本時間)

43×10238-79

c225

name 名前Serge Batalov
date 日付January 27, 2009 16:20:08 UTC 2009 年 1 月 28 日 (水) 1 時 20 分 8 秒 (日本時間)
composite number 合成数
551497211552436177122963727925917283256492494376646749823943495887707130691105323808857050163217781014486437474998825927754684111786042248963128053847897469515245292151253709303080061880906278488907291329339354806178008389717<225>
prime factors 素因数
16019823933833801017304935568263<32>
34425922146851837576638249702876396349794779344942534097092159794838474557251330373243197269039118582961540438685946281867896688525526005977130309937227882149560857611922657828168430494238139459<194>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1194573843
Step 1 took 7395ms
Step 2 took 5997ms
********** Factor found in step 2: 16019823933833801017304935568263
Found probable prime factor of 32 digits: 16019823933833801017304935568263
Probable prime cofactor has 194 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)

43×10239-79

c202

composite cofactor 合成数の残り
2601567314646128327533976960004390221220993341686630929226492558075416260046527174632309312226995992004668757679883310010768415120140536681739144588102408802385683173173118481843630682063253738960447023<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 13:18:40 UTC 2010 年 9 月 15 日 (水) 22 時 18 分 40 秒 (日本時間)
403e6410110Ignacio SantosSeptember 15, 2010 13:18:40 UTC 2010 年 9 月 15 日 (水) 22 時 18 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:24 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 24 秒 (日本時間)
4511e6432 / 424132Ignacio SantosSeptember 15, 2010 13:18:40 UTC 2010 年 9 月 15 日 (水) 22 時 18 分 40 秒 (日本時間)
400KTakahashiFebruary 24, 2014 15:31:58 UTC 2014 年 2 月 25 日 (火) 0 時 31 分 58 秒 (日本時間)
5043e638 / 7439CypJanuary 12, 2014 16:08:46 UTC 2014 年 1 月 13 日 (月) 1 時 8 分 46 秒 (日本時間)

43×10240-79

c239

composite cofactor 合成数の残り
14177382129904385097263435542367293109132871744147708539399934058687767886580942960764919221892515661061655126937026046818331684800527530497856907352456313880646224859874711506758984503791625453346521595779756017144741180349488954830201121<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6810Serge BatalovJanuary 28, 2009 23:33:51 UTC 2009 年 1 月 29 日 (木) 8 時 33 分 51 秒 (日本時間)
4511e6914314Serge BatalovJanuary 28, 2009 23:33:51 UTC 2009 年 1 月 29 日 (木) 8 時 33 分 51 秒 (日本時間)
600Serge BatalovNovember 28, 2009 07:06:07 UTC 2009 年 11 月 28 日 (土) 16 時 6 分 7 秒 (日本時間)
5043e61010yoyo@homeJanuary 28, 2010 17:15:11 UTC 2010 年 1 月 29 日 (金) 2 時 15 分 11 秒 (日本時間)
5511e72635 / 173452630yoyo@homeSeptember 13, 2010 17:10:40 UTC 2010 年 9 月 14 日 (火) 2 時 10 分 40 秒 (日本時間)
5KTakahashiMarch 23, 2014 08:29:29 UTC 2014 年 3 月 23 日 (日) 17 時 29 分 29 秒 (日本時間)

43×10241-79

c198

name 名前Youcef Lemsafer
date 日付January 18, 2014 08:50:45 UTC 2014 年 1 月 18 日 (土) 17 時 50 分 45 秒 (日本時間)
composite number 合成数
198223532756400302423637525534117173338210316114197781973050289877433828713313297290713944681056203369162992488600070742658514300826633740713236889577183394140618186908901800210841008013753846190911<198>
prime factors 素因数
2368884861192029909316320615641774428922524629389<49>
composite cofactor 合成数の残り
83677993812098419611677626571961675492350825844304867197025377147545710865967756493037457448386233950685356484601862597828300901108683887440008232699<149>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-gpu] [ECM]
Input number is (43*10^241-7)/(9*29*1663*3557*7590571*205100619677*902516608090556639) (198 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 1 is required.
GPU: will use device 1: GeForce GTX 660, compute capability 3.0, 5 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=43000000, B2=0, sigma=3:736593124-3:736593763 (640 curves)
dF=0, k=0, d=1638960, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
621     3658    24066   174580  1382162 1.2e+007        1.1e+008        9.9e+008        5.2e+009        Inf
Computing 640 Step 1 took 254485ms of CPU time / 35970720ms of GPU time
Throughput: 0.018 curves by second (on average 56204.25ms by Step 1)
********** Factor found in step 1: 2368884861192029909316320615641774428922524629389
Found probable prime factor of 49 digits: 2368884861192029909316320615641774428922524629389
Composite cofactor ((43*10^241-7)/(9*29*1663*3557*7590571*205100619677*902516608090556639))/2368884861192029909316320615641774428922524629389 has 149 digits
execution environment 実行環境
Windows 7 Pro 64-bit, 2x Intel Xeon E5-2620 @ 2.0 GHz, 2x NVIDIA GeForce GTX 660, 32 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 13:19:10 UTC 2010 年 9 月 15 日 (水) 22 時 19 分 10 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 13:19:10 UTC 2010 年 9 月 15 日 (水) 22 時 19 分 10 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:24 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 24 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 07:07:11 UTC 2014 年 1 月 13 日 (月) 16 時 7 分 11 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 13:19:10 UTC 2010 年 9 月 15 日 (水) 22 時 19 分 10 秒 (日本時間)
2109Youcef LemsaferJanuary 15, 2014 21:53:08 UTC 2014 年 1 月 16 日 (木) 6 時 53 分 8 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 18, 2014 08:49:02 UTC 2014 年 1 月 18 日 (土) 17 時 49 分 2 秒 (日本時間)
38KTakahashiApril 7, 2014 12:10:13 UTC 2014 年 4 月 7 日 (月) 21 時 10 分 13 秒 (日本時間)

43×10242-79

c189

composite cofactor 合成数の残り
161396777847215487228377879968223723430952907944266870533358442931699474902744528667468719255828248166662415550707263346127993440266620356781314926426964068107377872427271904069050019302159<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 13:19:43 UTC 2010 年 9 月 15 日 (水) 22 時 19 分 43 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 13:19:43 UTC 2010 年 9 月 15 日 (水) 22 時 19 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:25 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 25 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 07:58:42 UTC 2014 年 1 月 13 日 (月) 16 時 58 分 42 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 13:19:43 UTC 2010 年 9 月 15 日 (水) 22 時 19 分 43 秒 (日本時間)
2109Youcef LemsaferJanuary 15, 2014 22:25:07 UTC 2014 年 1 月 16 日 (木) 7 時 25 分 7 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 18, 2014 10:51:15 UTC 2014 年 1 月 18 日 (土) 19 時 51 分 15 秒 (日本時間)
38KTakahashiApril 14, 2014 09:05:31 UTC 2014 年 4 月 14 日 (月) 18 時 5 分 31 秒 (日本時間)

43×10244-79

c206

name 名前Youcef Lemsafer
date 日付January 15, 2014 23:09:25 UTC 2014 年 1 月 16 日 (木) 8 時 9 分 25 秒 (日本時間)
composite number 合成数
66328868983150052035365562676535637510278958055717901183165153062867411884374816141527575937460282996244280551811527859913031002126086752300747235755286267422223171302077315691995804639779609201951305578907<206>
prime factors 素因数
211919860709385004570876039298616407115014111<45>
312990338711621455288720636506827899738062069053884342736885019341630358868648620530814063815945894571637503187666067067513661540157121997733933485147355827088837<162>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-gpu] [ECM]
Input number is (43*10^244-7)/(9*19*2058839*9946901*18366793*100792041100876547) (206 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 1 is required.
GPU: will use device 1: GeForce GTX 660, compute capability 3.0, 5 MPs.
GPU: Selection and initialization of the device took 0ms
Using B1=31000000, B2=0, sigma=3:854223959-3:854224758 (800 curves)
dF=0, k=0, d=2884144, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
775     4798    33258   254650  2131042 1.9e+007        1.9e+008        1.6e+009        2.9e+010        Inf
Computing 800 Step 1 took 142974ms of CPU time / 29687404ms of GPU time
Throughput: 0.027 curves by second (on average 37109.25ms by Step 1)
Expected time to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
7.99h   2.06d   14.28d  109.37d 2.51y   22.78y  222.30y 1932y   34563y  Inf

Resuming ECM residue saved by ******@****** with GMP-ECM 7.0-dev on Wed Jan 15 23:00:34 2014 
Input number is (43*10^244-7)/(9*19*2058839*9946901*18366793*100792041100876547) (206 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=31000000-31000000, B2=144289975846, polynomial Dickson(12), sigma=3:854224183
dF=65536, k=3, d=690690, d2=17, i0=28
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
76      364     2028    12790   89332   692068  5848035 5.3e+007        5.3e+008        5.6e+009
Step 1 took 31ms
Using 25 small primes for NTT
Estimated memory usage: 277M
Initializing tables of differences for F took 109ms
Computing roots of F took 7893ms
Building F from its roots took 10327ms
Computing 1/F took 4883ms
Initializing table of differences for G took 141ms
Computing roots of G took 6022ms
Building G from its roots took 10764ms
Computing roots of G took 6318ms
Building G from its roots took 10873ms
Computing G * H took 2465ms
Reducing  G * H mod F took 2668ms
Computing roots of G took 6240ms
Building G from its roots took 10982ms
Computing G * H took 2668ms
Reducing  G * H mod F took 2870ms
Computing polyeval(F,G) took 19672ms
Computing product of all F(g_i) took 93ms
Step 2 took 105441ms
********** Factor found in step 2: 211919860709385004570876039298616407115014111
Found probable prime factor of 45 digits: 211919860709385004570876039298616407115014111
Probable prime cofactor ((43*10^244-7)/(9*19*2058839*9946901*18366793*100792041100876547))/211919860709385004570876039298616407115014111 has 162 digits
execution environment 実行環境
Windows 7 Pro 64-bit, 2x Intel Xeon E5-2620 @ 2.0 GHz, 2x NVIDIA GeForce GTX 660, 32GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 15:21:59 UTC 2010 年 9 月 16 日 (木) 0 時 21 分 59 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 15:21:59 UTC 2010 年 9 月 16 日 (木) 0 時 21 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:25 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 25 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 10:57:28 UTC 2014 年 1 月 13 日 (月) 19 時 57 分 28 秒 (日本時間)
4511e61935 / 397832Ignacio SantosSeptember 15, 2010 15:21:59 UTC 2010 年 9 月 16 日 (木) 0 時 21 分 59 秒 (日本時間)
1903Youcef LemsaferJanuary 15, 2014 23:06:32 UTC 2014 年 1 月 16 日 (木) 8 時 6 分 32 秒 (日本時間)

43×10245-79

c245

name 名前Serge Batalov
date 日付January 28, 2009 01:38:26 UTC 2009 年 1 月 28 日 (水) 10 時 38 分 26 秒 (日本時間)
composite number 合成数
53086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<245>
prime factors 素因数
53598747618551486853933977572595599339<38>
27976147881343907065273464547470440058178217281<47>
composite cofactor 合成数の残り
35403066396506894069278844750214201009889285722256175087036574343440723864063382620752845855264935086210428287407910294761124301971887380413930153470653666732667<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=45451499
Step 1 took 24228ms
Step 2 took 20220ms
********** Factor found in step 2: 27976147881343907065273464547470440058178217281
Found probable prime factor of 47 digits: 27976147881343907065273464547470440058178217281

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2389133407
Step 1 took 24160ms
Step 2 took 20492ms
********** Factor found in step 2: 53598747618551486853933977572595599339
Found probable prime factor of 38 digits: 53598747618551486853933977572595599339
Composite cofactor ...
software ソフトウェア
GMP-ECM 6.2.1

c161

name 名前RSALS + Zeta-Flux
date 日付January 24, 2011 05:25:19 UTC 2011 年 1 月 24 日 (月) 14 時 25 分 19 秒 (日本時間)
composite number 合成数
35403066396506894069278844750214201009889285722256175087036574343440723864063382620752845855264935086210428287407910294761124301971887380413930153470653666732667<161>
prime factors 素因数
7619148933983485897381658037418901522858622090190425682916126139631<67>
4646590676105509023054028423452911246227813181144711256771836192467772909424222026994037672757<94>
factorization results 素因数分解の結果
<sieving on the RSALS grid>

Tue Jan 18 15:12:45 2011  
Tue Jan 18 15:12:45 2011  
Tue Jan 18 15:12:45 2011  Msieve v. 1.44
Tue Jan 18 15:12:45 2011  random seeds: 594046bf 919a49a5
Tue Jan 18 15:12:45 2011  factoring 35403066396506894069278844750214201009889285722256175087036574343440723864063382620752845855264935086210428287407910294761124301971887380413930153470653666732667 (161 digits)
Tue Jan 18 15:12:46 2011  no P-1/P+1/ECM available, skipping
Tue Jan 18 15:12:46 2011  commencing number field sieve (161-digit input)
Tue Jan 18 15:12:46 2011  R0: -36751936325396603214191421804951
Tue Jan 18 15:12:46 2011  R1:  189129907528914661
Tue Jan 18 15:12:46 2011  A0:  481634814592034308689660663959465223894740
Tue Jan 18 15:12:46 2011  A1:  7818571617594079554516994632782892
Tue Jan 18 15:12:46 2011  A2: -2144661413444549536896147223
Tue Jan 18 15:12:46 2011  A3: -29380725812329151874
Tue Jan 18 15:12:46 2011  A4:  1377333927404
Tue Jan 18 15:12:46 2011  A5:  528
Tue Jan 18 15:12:46 2011  skew 45466989.17, size 9.355509e-16, alpha -7.032281, combined = 1.040893e-12
Tue Jan 18 15:12:46 2011  
Tue Jan 18 15:12:46 2011  commencing relation filtering
Tue Jan 18 15:12:46 2011  estimated available RAM is 24097.6 MB
Tue Jan 18 15:12:46 2011  commencing duplicate removal, pass 1
<snip errors reading relations>
Tue Jan 18 15:26:55 2011  found 25342683 hash collisions in 118111973 relations
Tue Jan 18 15:27:32 2011  added 122086 free relations
Tue Jan 18 15:27:32 2011  commencing duplicate removal, pass 2
Tue Jan 18 15:28:38 2011  found 25545873 duplicates and 92688186 unique relations
Tue Jan 18 15:28:38 2011  memory use: 660.8 MB
Tue Jan 18 15:28:39 2011  reading ideals above 87359488
Tue Jan 18 15:28:39 2011  commencing singleton removal, initial pass
Tue Jan 18 15:40:05 2011  memory use: 1506.0 MB
Tue Jan 18 15:40:06 2011  reading all ideals from disk
Tue Jan 18 15:40:20 2011  memory use: 1529.1 MB
Tue Jan 18 15:40:24 2011  commencing in-memory singleton removal
Tue Jan 18 15:40:28 2011  begin with 92688186 relations and 78769806 unique ideals
Tue Jan 18 15:41:09 2011  reduce to 55704899 relations and 37592792 ideals in 14 passes
Tue Jan 18 15:41:09 2011  max relations containing the same ideal: 36
Tue Jan 18 15:41:14 2011  reading ideals above 720000
Tue Jan 18 15:41:14 2011  commencing singleton removal, initial pass
Tue Jan 18 15:49:31 2011  memory use: 1378.0 MB
Tue Jan 18 15:49:31 2011  reading all ideals from disk
Tue Jan 18 15:49:50 2011  memory use: 2076.4 MB
Tue Jan 18 15:49:57 2011  keeping 47436700 ideals with weight <= 200, target excess is 294384
Tue Jan 18 15:50:04 2011  commencing in-memory singleton removal
Tue Jan 18 15:50:10 2011  begin with 55704899 relations and 47436700 unique ideals
Tue Jan 18 15:51:14 2011  reduce to 55638960 relations and 47370742 ideals in 11 passes
Tue Jan 18 15:51:14 2011  max relations containing the same ideal: 200
Tue Jan 18 15:51:43 2011  removing 3173725 relations and 2773725 ideals in 400000 cliques
Tue Jan 18 15:51:45 2011  commencing in-memory singleton removal
Tue Jan 18 15:51:50 2011  begin with 52465235 relations and 47370742 unique ideals
Tue Jan 18 15:52:29 2011  reduce to 52363660 relations and 44494564 ideals in 7 passes
Tue Jan 18 15:52:29 2011  max relations containing the same ideal: 197
Tue Jan 18 15:52:57 2011  removing 2357272 relations and 1957272 ideals in 400000 cliques
Tue Jan 18 15:52:58 2011  commencing in-memory singleton removal
Tue Jan 18 15:53:03 2011  begin with 50006388 relations and 44494564 unique ideals
Tue Jan 18 15:53:45 2011  reduce to 49943492 relations and 42473959 ideals in 8 passes
Tue Jan 18 15:53:45 2011  max relations containing the same ideal: 193
Tue Jan 18 15:54:12 2011  removing 2096426 relations and 1696426 ideals in 400000 cliques
Tue Jan 18 15:54:13 2011  commencing in-memory singleton removal
Tue Jan 18 15:54:18 2011  begin with 47847066 relations and 42473959 unique ideals
Tue Jan 18 15:54:48 2011  reduce to 47794111 relations and 40724178 ideals in 6 passes
Tue Jan 18 15:54:48 2011  max relations containing the same ideal: 189
Tue Jan 18 15:55:13 2011  removing 1943416 relations and 1543416 ideals in 400000 cliques
Tue Jan 18 15:55:14 2011  commencing in-memory singleton removal
Tue Jan 18 15:55:18 2011  begin with 45850695 relations and 40724178 unique ideals
Tue Jan 18 15:55:47 2011  reduce to 45801775 relations and 39131505 ideals in 6 passes
Tue Jan 18 15:55:47 2011  max relations containing the same ideal: 185
Tue Jan 18 15:56:11 2011  removing 1838838 relations and 1438838 ideals in 400000 cliques
Tue Jan 18 15:56:12 2011  commencing in-memory singleton removal
Tue Jan 18 15:56:16 2011  begin with 43962937 relations and 39131505 unique ideals
Tue Jan 18 15:56:44 2011  reduce to 43914854 relations and 37644210 ideals in 6 passes
Tue Jan 18 15:56:44 2011  max relations containing the same ideal: 179
Tue Jan 18 15:57:06 2011  removing 1772420 relations and 1372420 ideals in 400000 cliques
Tue Jan 18 15:57:07 2011  commencing in-memory singleton removal
Tue Jan 18 15:57:11 2011  begin with 42142434 relations and 37644210 unique ideals
Tue Jan 18 15:57:42 2011  reduce to 42098694 relations and 36227721 ideals in 7 passes
Tue Jan 18 15:57:42 2011  max relations containing the same ideal: 174
Tue Jan 18 15:58:03 2011  removing 1711805 relations and 1311805 ideals in 400000 cliques
Tue Jan 18 15:58:05 2011  commencing in-memory singleton removal
Tue Jan 18 15:58:08 2011  begin with 40386889 relations and 36227721 unique ideals
Tue Jan 18 15:58:38 2011  reduce to 40342569 relations and 34871274 ideals in 7 passes
Tue Jan 18 15:58:38 2011  max relations containing the same ideal: 170
Tue Jan 18 15:58:58 2011  removing 1665361 relations and 1265361 ideals in 400000 cliques
Tue Jan 18 15:59:00 2011  commencing in-memory singleton removal
Tue Jan 18 15:59:03 2011  begin with 38677208 relations and 34871274 unique ideals
Tue Jan 18 15:59:27 2011  reduce to 38632567 relations and 33560885 ideals in 6 passes
Tue Jan 18 15:59:27 2011  max relations containing the same ideal: 167
Tue Jan 18 15:59:47 2011  removing 1634479 relations and 1234479 ideals in 400000 cliques
Tue Jan 18 15:59:48 2011  commencing in-memory singleton removal
Tue Jan 18 15:59:51 2011  begin with 36998088 relations and 33560885 unique ideals
Tue Jan 18 16:00:18 2011  reduce to 36956154 relations and 32284121 ideals in 7 passes
Tue Jan 18 16:00:18 2011  max relations containing the same ideal: 164
Tue Jan 18 16:00:36 2011  removing 1587949 relations and 1187949 ideals in 400000 cliques
Tue Jan 18 16:00:37 2011  commencing in-memory singleton removal
Tue Jan 18 16:00:41 2011  begin with 35368205 relations and 32284121 unique ideals
Tue Jan 18 16:01:02 2011  reduce to 35321201 relations and 31048743 ideals in 6 passes
Tue Jan 18 16:01:02 2011  max relations containing the same ideal: 159
Tue Jan 18 16:01:20 2011  removing 1579948 relations and 1179948 ideals in 400000 cliques
Tue Jan 18 16:01:21 2011  commencing in-memory singleton removal
Tue Jan 18 16:01:24 2011  begin with 33741253 relations and 31048743 unique ideals
Tue Jan 18 16:01:48 2011  reduce to 33696076 relations and 29823198 ideals in 7 passes
Tue Jan 18 16:01:48 2011  max relations containing the same ideal: 152
Tue Jan 18 16:02:05 2011  removing 1549450 relations and 1149450 ideals in 400000 cliques
Tue Jan 18 16:02:06 2011  commencing in-memory singleton removal
Tue Jan 18 16:02:09 2011  begin with 32146626 relations and 29823198 unique ideals
Tue Jan 18 16:02:29 2011  reduce to 32098527 relations and 28625159 ideals in 6 passes
Tue Jan 18 16:02:29 2011  max relations containing the same ideal: 146
Tue Jan 18 16:02:45 2011  removing 1531072 relations and 1131072 ideals in 400000 cliques
Tue Jan 18 16:02:46 2011  commencing in-memory singleton removal
Tue Jan 18 16:02:49 2011  begin with 30567455 relations and 28625159 unique ideals
Tue Jan 18 16:03:04 2011  reduce to 30515112 relations and 27441168 ideals in 5 passes
Tue Jan 18 16:03:04 2011  max relations containing the same ideal: 143
Tue Jan 18 16:03:20 2011  removing 1518000 relations and 1118000 ideals in 400000 cliques
Tue Jan 18 16:03:21 2011  commencing in-memory singleton removal
Tue Jan 18 16:03:23 2011  begin with 28997112 relations and 27441168 unique ideals
Tue Jan 18 16:03:40 2011  reduce to 28945208 relations and 26270606 ideals in 6 passes
Tue Jan 18 16:03:40 2011  max relations containing the same ideal: 139
Tue Jan 18 16:03:55 2011  removing 1507810 relations and 1107810 ideals in 400000 cliques
Tue Jan 18 16:03:56 2011  commencing in-memory singleton removal
Tue Jan 18 16:03:59 2011  begin with 27437398 relations and 26270606 unique ideals
Tue Jan 18 16:04:15 2011  reduce to 27384659 relations and 25109458 ideals in 6 passes
Tue Jan 18 16:04:15 2011  max relations containing the same ideal: 133
Tue Jan 18 16:04:29 2011  removing 1494396 relations and 1094396 ideals in 400000 cliques
Tue Jan 18 16:04:30 2011  commencing in-memory singleton removal
Tue Jan 18 16:04:32 2011  begin with 25890263 relations and 25109458 unique ideals
Tue Jan 18 16:04:50 2011  reduce to 25833619 relations and 23957710 ideals in 7 passes
Tue Jan 18 16:04:50 2011  max relations containing the same ideal: 129
Tue Jan 18 16:05:03 2011  removing 1491883 relations and 1091883 ideals in 400000 cliques
Tue Jan 18 16:05:04 2011  commencing in-memory singleton removal
Tue Jan 18 16:05:06 2011  begin with 24341736 relations and 23957710 unique ideals
Tue Jan 18 16:05:21 2011  reduce to 24281472 relations and 22804794 ideals in 6 passes
Tue Jan 18 16:05:21 2011  max relations containing the same ideal: 122
Tue Jan 18 16:05:33 2011  removing 1489642 relations and 1089642 ideals in 400000 cliques
Tue Jan 18 16:05:34 2011  commencing in-memory singleton removal
Tue Jan 18 16:05:36 2011  begin with 22791830 relations and 22804794 unique ideals
Tue Jan 18 16:05:49 2011  reduce to 22726499 relations and 21648936 ideals in 6 passes
Tue Jan 18 16:05:49 2011  max relations containing the same ideal: 116
Tue Jan 18 16:06:01 2011  removing 1489697 relations and 1089697 ideals in 400000 cliques
Tue Jan 18 16:06:02 2011  commencing in-memory singleton removal
Tue Jan 18 16:06:04 2011  begin with 21236802 relations and 21648936 unique ideals
Tue Jan 18 16:06:16 2011  reduce to 21166501 relations and 20487873 ideals in 6 passes
Tue Jan 18 16:06:16 2011  max relations containing the same ideal: 108
Tue Jan 18 16:06:27 2011  removing 1300130 relations and 962988 ideals in 337142 cliques
Tue Jan 18 16:06:28 2011  commencing in-memory singleton removal
Tue Jan 18 16:06:29 2011  begin with 19866371 relations and 20487873 unique ideals
Tue Jan 18 16:06:41 2011  reduce to 19808181 relations and 19465856 ideals in 6 passes
Tue Jan 18 16:06:41 2011  max relations containing the same ideal: 106
Tue Jan 18 16:06:56 2011  relations with 0 large ideals: 1008
Tue Jan 18 16:06:56 2011  relations with 1 large ideals: 2261
Tue Jan 18 16:06:56 2011  relations with 2 large ideals: 34209
Tue Jan 18 16:06:56 2011  relations with 3 large ideals: 274757
Tue Jan 18 16:06:56 2011  relations with 4 large ideals: 1180720
Tue Jan 18 16:06:56 2011  relations with 5 large ideals: 3061248
Tue Jan 18 16:06:56 2011  relations with 6 large ideals: 5030676
Tue Jan 18 16:06:56 2011  relations with 7+ large ideals: 10223302
Tue Jan 18 16:06:56 2011  commencing 2-way merge
Tue Jan 18 16:07:10 2011  reduce to 13352937 relation sets and 13010612 unique ideals
Tue Jan 18 16:07:10 2011  commencing full merge
Tue Jan 18 16:10:41 2011  memory use: 1523.6 MB
Tue Jan 18 16:10:42 2011  found 7136334 cycles, need 7088812
Tue Jan 18 16:10:45 2011  weight of 7088812 cycles is about 496480382 (70.04/cycle)
Tue Jan 18 16:10:45 2011  distribution of cycle lengths:
Tue Jan 18 16:10:45 2011  1 relations: 783095
Tue Jan 18 16:10:45 2011  2 relations: 879681
Tue Jan 18 16:10:45 2011  3 relations: 917856
Tue Jan 18 16:10:45 2011  4 relations: 866747
Tue Jan 18 16:10:45 2011  5 relations: 802338
Tue Jan 18 16:10:45 2011  6 relations: 691878
Tue Jan 18 16:10:45 2011  7 relations: 577898
Tue Jan 18 16:10:45 2011  8 relations: 458673
Tue Jan 18 16:10:45 2011  9 relations: 351544
Tue Jan 18 16:10:45 2011  10+ relations: 759102
Tue Jan 18 16:10:45 2011  heaviest cycle: 18 relations
Tue Jan 18 16:10:47 2011  commencing cycle optimization
Tue Jan 18 16:10:57 2011  start with 36589452 relations
Tue Jan 18 16:11:48 2011  pruned 976848 relations
Tue Jan 18 16:11:49 2011  memory use: 1199.4 MB
Tue Jan 18 16:11:49 2011  distribution of cycle lengths:
Tue Jan 18 16:11:49 2011  1 relations: 783095
Tue Jan 18 16:11:49 2011  2 relations: 899553
Tue Jan 18 16:11:49 2011  3 relations: 952059
Tue Jan 18 16:11:49 2011  4 relations: 891340
Tue Jan 18 16:11:49 2011  5 relations: 825064
Tue Jan 18 16:11:49 2011  6 relations: 705013
Tue Jan 18 16:11:49 2011  7 relations: 583187
Tue Jan 18 16:11:49 2011  8 relations: 453476
Tue Jan 18 16:11:49 2011  9 relations: 339688
Tue Jan 18 16:11:49 2011  10+ relations: 656337
Tue Jan 18 16:11:49 2011  heaviest cycle: 18 relations
Tue Jan 18 16:12:01 2011  RelProcTime: 3555
Tue Jan 18 16:12:04 2011  
Tue Jan 18 16:12:04 2011  commencing linear algebra
Tue Jan 18 16:12:06 2011  read 7088812 cycles
Tue Jan 18 16:12:17 2011  cycles contain 19629851 unique relations
Tue Jan 18 16:14:42 2011  read 19629851 relations
Tue Jan 18 16:15:16 2011  using 20 quadratic characters above 1073741214
Tue Jan 18 16:16:45 2011  building initial matrix
Tue Jan 18 16:21:06 2011  memory use: 2696.0 MB
Tue Jan 18 16:21:08 2011  read 7088812 cycles
Tue Jan 18 16:21:28 2011  matrix is 7088633 x 7088812 (2152.9 MB) with weight 665729892 (93.91/col)
Tue Jan 18 16:21:28 2011  sparse part has weight 479307541 (67.61/col)
Tue Jan 18 16:22:44 2011  filtering completed in 2 passes
Tue Jan 18 16:22:46 2011  matrix is 7087510 x 7087689 (2152.8 MB) with weight 665693914 (93.92/col)
Tue Jan 18 16:22:46 2011  sparse part has weight 479299019 (67.62/col)
Tue Jan 18 16:23:19 2011  read 7087689 cycles
Tue Jan 18 16:23:38 2011  matrix is 7087510 x 7087689 (2152.8 MB) with weight 665693914 (93.92/col)
Tue Jan 18 16:23:38 2011  sparse part has weight 479299019 (67.62/col)
Tue Jan 18 16:23:38 2011  saving the first 48 matrix rows for later
Tue Jan 18 16:23:41 2011  matrix is 7087462 x 7087689 (2076.3 MB) with weight 532559688 (75.14/col)
Tue Jan 18 16:23:41 2011  sparse part has weight 473409268 (66.79/col)
Tue Jan 18 16:23:41 2011  matrix includes 64 packed rows
Tue Jan 18 16:23:41 2011  using block size 10922 for processor cache size 256 kB
Tue Jan 18 16:24:53 2011  commencing Lanczos iteration (4 threads)
Tue Jan 18 16:24:53 2011  memory use: 2234.3 MB
Tue Jan 18 16:25:22 2011  linear algebra at 0.0%, ETA 70h24m
Fri Jan 21 15:02:48 2011  lanczos halted after 112076 iterations (dim = 7087461)
Fri Jan 21 15:02:58 2011  recovered 28 nontrivial dependencies
Fri Jan 21 15:02:59 2011  BLanczosTime: 255055
Fri Jan 21 15:02:59 2011  
Fri Jan 21 15:02:59 2011  commencing square root phase
Fri Jan 21 15:02:59 2011  reading relations for dependency 1
Fri Jan 21 15:03:01 2011  read 3543761 cycles
Fri Jan 21 15:03:07 2011  cycles contain 9813506 unique relations
Fri Jan 21 15:05:39 2011  read 9813506 relations
Fri Jan 21 15:06:33 2011  multiplying 9813506 relations
Fri Jan 21 15:19:04 2011  multiply complete, coefficients have about 501.81 million bits
Fri Jan 21 15:19:08 2011  initial square root is modulo 1009471193
Fri Jan 21 15:45:39 2011  sqrtTime: 2560
Fri Jan 21 15:45:39 2011  prp67 factor: 7619148933983485897381658037418901522858622090190425682916126139631
Fri Jan 21 15:45:39 2011  prp94 factor: 4646590676105509023054028423452911246227813181144711256771836192467772909424222026994037672757
Fri Jan 21 15:45:39 2011  elapsed time 72:32:54
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve 1.44

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e60--
403e6356Serge BatalovJanuary 29, 2009 03:32:23 UTC 2009 年 1 月 29 日 (木) 12 時 32 分 23 秒 (日本時間)
4511e61790400Serge BatalovJanuary 29, 2009 03:30:29 UTC 2009 年 1 月 29 日 (木) 12 時 30 分 29 秒 (日本時間)
20Serge BatalovJanuary 29, 2009 03:32:23 UTC 2009 年 1 月 29 日 (木) 12 時 32 分 23 秒 (日本時間)
800Serge BatalovJanuary 31, 2009 18:14:15 UTC 2009 年 2 月 1 日 (日) 3 時 14 分 15 秒 (日本時間)
570Serge BatalovFebruary 1, 2009 00:44:08 UTC 2009 年 2 月 1 日 (日) 9 時 44 分 8 秒 (日本時間)
5043e638601010yoyo@homeJanuary 28, 2010 18:05:07 UTC 2010 年 1 月 29 日 (金) 3 時 5 分 7 秒 (日本時間)
430Wataru SakaiSeptember 6, 2010 00:26:08 UTC 2010 年 9 月 6 日 (月) 9 時 26 分 8 秒 (日本時間)
1936Wataru SakaiSeptember 21, 2010 03:20:39 UTC 2010 年 9 月 21 日 (火) 12 時 20 分 39 秒 (日本時間)
484Wataru SakaiSeptember 21, 2010 03:22:12 UTC 2010 年 9 月 21 日 (火) 12 時 22 分 12 秒 (日本時間)
5511e72555 / 16277yoyo@homeSeptember 14, 2010 03:36:04 UTC 2010 年 9 月 14 日 (火) 12 時 36 分 4 秒 (日本時間)

43×10246-79

c209

composite cofactor 合成数の残り
32764586206985565375014492198742357658149895366795464211333175820527808083227832026847909275674696563955068239255170726641307948827434630416143472100336507552795065218723076348794643805343042794904686617295753<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 15:36:50 UTC 2010 年 9 月 16 日 (木) 0 時 36 分 50 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 15:36:50 UTC 2010 年 9 月 16 日 (木) 0 時 36 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:26 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 26 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 10:58:03 UTC 2014 年 1 月 13 日 (月) 19 時 58 分 3 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 15:36:50 UTC 2010 年 9 月 16 日 (木) 0 時 36 分 50 秒 (日本時間)
2109Youcef LemsaferJanuary 16, 2014 07:30:46 UTC 2014 年 1 月 16 日 (木) 16 時 30 分 46 秒 (日本時間)
5043e6678 / 6988640Youcef LemsaferJanuary 19, 2014 15:01:42 UTC 2014 年 1 月 20 日 (月) 0 時 1 分 42 秒 (日本時間)
38KTakahashiApril 15, 2014 09:18:15 UTC 2014 年 4 月 15 日 (火) 18 時 18 分 15 秒 (日本時間)

43×10247-79

c222

composite cofactor 合成数の残り
314676164483431569176603452932060530923882341633001352683997101635906885024504870943830165884471400428791226902504212505777880661156508828126080995821285049312966608248632512922535481930768407343490176033575917930093964623<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 17:12:48 UTC 2010 年 9 月 16 日 (木) 2 時 12 分 48 秒 (日本時間)
403e62202110Ignacio SantosSeptember 15, 2010 17:12:48 UTC 2010 年 9 月 16 日 (木) 2 時 12 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:27 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 27 秒 (日本時間)
1792Youcef LemsaferJanuary 13, 2014 13:55:43 UTC 2014 年 1 月 13 日 (月) 22 時 55 分 43 秒 (日本時間)
4511e6214132Ignacio SantosSeptember 15, 2010 17:12:48 UTC 2010 年 9 月 16 日 (木) 2 時 12 分 48 秒 (日本時間)
2109Youcef LemsaferJanuary 16, 2014 07:31:07 UTC 2014 年 1 月 16 日 (木) 16 時 31 分 7 秒 (日本時間)
5043e6678 / 698838CypJanuary 12, 2014 19:31:36 UTC 2014 年 1 月 13 日 (月) 4 時 31 分 36 秒 (日本時間)
640Youcef LemsaferJanuary 18, 2014 17:55:26 UTC 2014 年 1 月 19 日 (日) 2 時 55 分 26 秒 (日本時間)

43×10248-79

c242

composite cofactor 合成数の残り
60088559637119878199651170539814518913593811090763447927945935611922257756919501578533448708957470058115279286804134478587742216110517002945303633989795257735413386861899148116105574369563059610520209997498219806550332140910802543780699227651<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e60--
403e61232800Serge BatalovJanuary 28, 2009 18:03:30 UTC 2009 年 1 月 29 日 (木) 3 時 3 分 30 秒 (日本時間)
432Serge BatalovAugust 19, 2009 06:47:47 UTC 2009 年 8 月 19 日 (水) 15 時 47 分 47 秒 (日本時間)
4511e6320Serge BatalovJanuary 28, 2009 18:03:30 UTC 2009 年 1 月 29 日 (木) 3 時 3 分 30 秒 (日本時間)
5043e61120yoyo@homeJanuary 29, 2010 08:31:27 UTC 2010 年 1 月 29 日 (金) 17 時 31 分 27 秒 (日本時間)
5511e72630 / 17340yoyo@homeSeptember 20, 2010 19:25:36 UTC 2010 年 9 月 21 日 (火) 4 時 25 分 36 秒 (日本時間)

43×10249-79

c240

name 名前Serge Batalov
date 日付January 28, 2009 18:01:22 UTC 2009 年 1 月 29 日 (木) 3 時 1 分 22 秒 (日本時間)
composite number 合成数
102010530661431612118861508384053798132375651128623476073572488694946144408482498178000249318666654741521760125037983986135281863744302612642490864206175832286192193570352409676416637215567547853425070503302364005366054165368108226069701657<240>
prime factors 素因数
25422133258858709804303131627232676780973<41>
composite cofactor 合成数の残り
4012666034857030268082611148502973012917801084731203623422488400448065571628447168512039491797916152679691062964730175869111228899299131087507442826326840156446022996606392734495211546245324030097309<199>
factorization results 素因数分解の結果
Using B1=5000000, B2=23417929090, polynomial Dickson(12), sigma=907905841
Step 1 took 40103ms
Step 2 took 28475ms
********** Factor found in step 2: 25422133258858709804303131627232676780973
Found probable prime factor of 41 digits: 25422133258858709804303131627232676780973
Composite cofactor has 199 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 18:49:24 UTC 2010 年 9 月 16 日 (木) 3 時 49 分 24 秒 (日本時間)
403e6110Ignacio SantosSeptember 15, 2010 18:49:24 UTC 2010 年 9 月 16 日 (木) 3 時 49 分 24 秒 (日本時間)
4511e6632 / 444132Ignacio SantosSeptember 15, 2010 18:49:24 UTC 2010 年 9 月 16 日 (木) 3 時 49 分 24 秒 (日本時間)
600Dmitry DomanovJuly 11, 2011 21:24:26 UTC 2011 年 7 月 12 日 (火) 6 時 24 分 26 秒 (日本時間)

43×10250-79

c251

name 名前Serge Batalov
date 日付January 27, 2009 20:04:44 UTC 2009 年 1 月 28 日 (水) 5 時 4 分 44 秒 (日本時間)
composite number 合成数
47777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<251>
prime factors 素因数
382055559643912628237678729323622320324517<42>
composite cofactor 合成数の残り
125054528253189447289899294516188810544311061053758161563935547216828629946964499418093698568954568490304175173591891013243054655738225373622583204023990174911869851275001232783069648585566026456246963123490781<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2259809016
Step 1 took 79929ms
Step 2 took 29982ms
********** Factor found in step 2: 382055559643912628237678729323622320324517
Found probable prime factor of 42 digits: 382055559643912628237678729323622320324517
Composite cofactor has 210 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJanuary 27, 2009 13:00:00 UTC 2009 年 1 月 27 日 (火) 22 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosSeptember 15, 2010 19:41:27 UTC 2010 年 9 月 16 日 (木) 4 時 41 分 27 秒 (日本時間)
403e6110Ignacio SantosSeptember 15, 2010 19:41:27 UTC 2010 年 9 月 16 日 (木) 4 時 41 分 27 秒 (日本時間)
4511e6153232Ignacio SantosSeptember 15, 2010 19:41:27 UTC 2010 年 9 月 16 日 (木) 4 時 41 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 23, 2011 10:38:00 UTC 2011 年 2 月 23 日 (水) 19 時 38 分 0 秒 (日本時間)
5043e6832Dmitry DomanovJuly 21, 2011 21:22:55 UTC 2011 年 7 月 22 日 (金) 6 時 22 分 55 秒 (日本時間)
5511e72666 / 173762655yoyo@homeOctober 4, 2011 04:40:06 UTC 2011 年 10 月 4 日 (火) 13 時 40 分 6 秒 (日本時間)
11KTakahashiMarch 24, 2014 08:23:06 UTC 2014 年 3 月 24 日 (月) 17 時 23 分 6 秒 (日本時間)

43×10251-79

c214

name 名前KTakahashi
date 日付October 4, 2015 22:17:56 UTC 2015 年 10 月 5 日 (月) 7 時 17 分 56 秒 (日本時間)
composite number 合成数
1322733298240158600403782026906379941981307172112506615046728829478710943626073736536502609377041056783033908163543497644206820301698622500423678238285762614657791219707974111303501305956511966335404580989315005333<214>
prime factors 素因数
3900620557700174774853235015829327<34>
composite cofactor 合成数の残り
339108426126956761175041204606096058772685624090643099160414109414326487686221571156231637484213753710090152995439813455583372402169559506824845727213041290829245419602885228975579<180>
factorization results 素因数分解の結果
Input number is 1322733298240158600403782026906379941981307172112506615046728829478710943626073736536502609377041056783033908163543497644206820301698622500423678238285762614657791219707974111303501305956511966335404580989315005333 (214 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3553907879
Step 1 took 6412ms
Step 2 took 3291ms
********** Factor found in step 2: 3900620557700174774853235015829327
Found probable prime factor of 34 digits: 3900620557700174774853235015829327
Composite cofactor 339108426126956761175041204606096058772685624090643099160414109414326487686221571156231637484213753710090152995439813455583372402169559506824845727213041290829245419602885228975579 has 180 digits
software ソフトウェア
GMP-ECM 6.4.4

c180

name 名前KTakahashi
date 日付October 5, 2015 14:55:10 UTC 2015 年 10 月 5 日 (月) 23 時 55 分 10 秒 (日本時間)
composite number 合成数
339108426126956761175041204606096058772685624090643099160414109414326487686221571156231637484213753710090152995439813455583372402169559506824845727213041290829245419602885228975579<180>
prime factors 素因数
58275089821191600222952028514910242449<38>
5819097442276970537073371903943005111579234397543678079398402030884835872264721943169204725939276026114336076034049274494962818802255682323371<142>
factorization results 素因数分解の結果
Input number is 339108426126956761175041204606096058772685624090643099160414109414326487686221571156231637484213753710090152995439813455583372402169559506824845727213041290829245419602885228975579 (180 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1623901086
Step 1 took 16177ms
Step 2 took 6864ms
********** Factor found in step 2: 58275089821191600222952028514910242449
Found probable prime factor of 38 digits: 58275089821191600222952028514910242449
Probable prime cofactor 5819097442276970537073371903943005111579234397543678079398402030884835872264721943169204725939276026114336076034049274494962818802255682323371 has 142 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:10:25 UTC 2015 年 10 月 5 日 (月) 6 時 10 分 25 秒 (日本時間)

43×10254-79

c197

composite cofactor 合成数の残り
20620278970107386933236037844118222656224809539008694868620421217232624725528459825578828559332183348644709929806162592674354389374645046092489217280678217768693800826310593466853159916475597164181<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:11:15 UTC 2015 年 10 月 5 日 (月) 6 時 11 分 15 秒 (日本時間)
403e62104KTakahashiOctober 4, 2015 21:11:15 UTC 2015 年 10 月 5 日 (月) 6 時 11 分 15 秒 (日本時間)
4511e6165 / 3974KTakahashiOctober 4, 2015 21:14:32 UTC 2015 年 10 月 5 日 (月) 6 時 14 分 32 秒 (日本時間)

43×10255-79

c191

composite cofactor 合成数の残り
16304428404314870943285229933994828134712679241459367613836079050128537221638309524460833118820684435011553541948080106020729200242882345147432463224227816457825873285699183111653045859585009<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:11:57 UTC 2015 年 10 月 5 日 (月) 6 時 11 分 57 秒 (日本時間)
403e62104KTakahashiOctober 4, 2015 21:11:57 UTC 2015 年 10 月 5 日 (月) 6 時 11 分 57 秒 (日本時間)
4511e63974KTakahashiOctober 4, 2015 21:11:57 UTC 2015 年 10 月 5 日 (月) 6 時 11 分 57 秒 (日本時間)
5043e6267 / 6577KTakahashiOctober 4, 2015 21:11:57 UTC 2015 年 10 月 5 日 (月) 6 時 11 分 57 秒 (日本時間)

43×10256-79

c190

composite cofactor 合成数の残り
6374243459116155183514270928260602773060093103101334639424947061199628633110780685466583607059613464067956328657119592367782624686572079494659822875942439866612962146925794820935874998568423<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:12:25 UTC 2015 年 10 月 5 日 (月) 6 時 12 分 25 秒 (日本時間)
403e62104KTakahashiOctober 4, 2015 21:12:25 UTC 2015 年 10 月 5 日 (月) 6 時 12 分 25 秒 (日本時間)
4511e63974KTakahashiOctober 4, 2015 21:12:25 UTC 2015 年 10 月 5 日 (月) 6 時 12 分 25 秒 (日本時間)
5043e6267 / 6577KTakahashiOctober 4, 2015 21:12:25 UTC 2015 年 10 月 5 日 (月) 6 時 12 分 25 秒 (日本時間)

43×10257-79

c210

name 名前KTakahashi
date 日付October 4, 2015 22:19:28 UTC 2015 年 10 月 5 日 (月) 7 時 19 分 28 秒 (日本時間)
composite number 合成数
330759841433890428394548241041338631786826376876688554630355966141360152420693514313480776233351225857698248337054767871131183927431115879600885055879110438194483695905509903568086281601662954737435395482536641<210>
prime factors 素因数
58136151782513017598570216768118047<35>
composite cofactor 合成数の残り
5689400335117827181837006213661685679741252261707057877849285593411540027135393409858019501701245348137400174402724811015717994281307391943240592829857259694697157309473897503<175>
factorization results 素因数分解の結果
Input number is 330759841433890428394548241041338631786826376876688554630355966141360152420693514313480776233351225857698248337054767871131183927431115879600885055879110438194483695905509903568086281601662954737435395482536641 (210 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2815319980
Step 1 took 6708ms
********** Factor found in step 1: 58136151782513017598570216768118047
Found probable prime factor of 35 digits: 58136151782513017598570216768118047
Composite cofactor 5689400335117827181837006213661685679741252261707057877849285593411540027135393409858019501701245348137400174402724811015717994281307391943240592829857259694697157309473897503 has 175 digits
software ソフトウェア
GMP-ECM 6.4.4

c175

name 名前KTakahashi
date 日付October 5, 2015 14:55:59 UTC 2015 年 10 月 5 日 (月) 23 時 55 分 59 秒 (日本時間)
composite number 合成数
5689400335117827181837006213661685679741252261707057877849285593411540027135393409858019501701245348137400174402724811015717994281307391943240592829857259694697157309473897503<175>
prime factors 素因数
584515555826298964166940853110093646181<39>
9733531089818508807063752913217355459880433740663176042345446460611302430791783524566955092223214687641808997727456254920113394494970163<136>
factorization results 素因数分解の結果
Input number is 5689400335117827181837006213661685679741252261707057877849285593411540027135393409858019501701245348137400174402724811015717994281307391943240592829857259694697157309473897503 (175 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=342527982
Step 1 took 15023ms
Step 2 took 6552ms
********** Factor found in step 2: 584515555826298964166940853110093646181
Found probable prime factor of 39 digits: 584515555826298964166940853110093646181
Probable prime cofactor 9733531089818508807063752913217355459880433740663176042345446460611302430791783524566955092223214687641808997727456254920113394494970163 has 136 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:12:38 UTC 2015 年 10 月 5 日 (月) 6 時 12 分 38 秒 (日本時間)

43×10258-79

c245

name 名前KTakahashi
date 日付October 4, 2015 22:20:31 UTC 2015 年 10 月 5 日 (月) 7 時 20 分 31 秒 (日本時間)
composite number 合成数
56681163552220974740055176127291385895069047447146348561033895760474080444166581964508215842861139087250273233660478832559532672122156301558974267838922831298539370535281295045819500456543427908821572827499113257663470951903758772206923132443911<245>
prime factors 素因数
7356415015408647843164932349297<31>
composite cofactor 合成数の残り
7704998077663831190745823031546163958814204159234736137241356504000919859686500470354374409520072517916997163940897693605736704490432911414189346807165490756655267389620213223995474695881853660339843158219516380663<214>
factorization results 素因数分解の結果
Input number is 56681163552220974740055176127291385895069047447146348561033895760474080444166581964508215842861139087250273233660478832559532672122156301558974267838922831298539370535281295045819500456543427908821572827499113257663470951903758772206923132443911 (245 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4083200388
Step 1 took 6661ms
Step 2 took 3338ms
********** Factor found in step 2: 7356415015408647843164932349297
Found probable prime factor of 31 digits: 7356415015408647843164932349297
Composite cofactor 7704998077663831190745823031546163958814204159234736137241356504000919859686500470354374409520072517916997163940897693605736704490432911414189346807165490756655267389620213223995474695881853660339843158219516380663 has 214 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:13:01 UTC 2015 年 10 月 5 日 (月) 6 時 13 分 1 秒 (日本時間)
403e60--
4511e6610 / 4439CypMay 23, 2017 20:46:57 UTC 2017 年 5 月 24 日 (水) 5 時 46 分 57 秒 (日本時間)

43×10260-79

c232

name 名前Cyp
date 日付May 23, 2017 11:26:57 UTC 2017 年 5 月 23 日 (火) 20 時 26 分 57 秒 (日本時間)
composite number 合成数
1612248175714129032327027936689220290233259974870770308367766219499669672506102081870274562102965430158206043460137303434079054568648999274589004386429030146816691057876199668829515932760324802714164338405076147226032440648618770289<232>
prime factors 素因数
278596464127203307282395188787444300827<39>
5787037465694463111791546785873864186510329115305313910355985194454541871713053515019384361196434923439286079238849541346389176026524692691406886816735610630986967626436183131295711167942513507<193>
factorization results 素因数分解の結果
Run 488 out of 494:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3758257296
Step 1 took 104369ms
********** Factor found in step 1: 278596464127203307282395188787444300827
Found probable prime factor of 39 digits: 278596464127203307282395188787444300827
Probable prime cofactor 5787037465694463111791546785873864186510329115305313910355985194454541871713053515019384361196434923439286079238849541346389176026524692691406886816735610630986967626436183131295711167942513507 has 193 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:13:17 UTC 2015 年 10 月 5 日 (月) 6 時 13 分 17 秒 (日本時間)
403e6400 / 420Erik BrangerOctober 6, 2015 07:15:47 UTC 2015 年 10 月 6 日 (火) 16 時 15 分 47 秒 (日本時間)
4511e6488 / 4350CypMay 23, 2017 11:26:57 UTC 2017 年 5 月 23 日 (火) 20 時 26 分 57 秒 (日本時間)

43×10261-79

c244

composite cofactor 合成数の残り
5062890241053562518351996103006703208988547975416361158943311280600358648069294804125455102795247669041097821189332441367434436849814984166432254451705738662298831757505637742190358311528599493668913752537916514346701746949127596929743911356603<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:13:28 UTC 2015 年 10 月 5 日 (月) 6 時 13 分 28 秒 (日本時間)
403e60--
4511e6610 / 4439CypMay 23, 2017 16:15:43 UTC 2017 年 5 月 24 日 (水) 1 時 15 分 43 秒 (日本時間)

43×10262-79

c232

name 名前KTakahashi
date 日付October 4, 2015 22:21:30 UTC 2015 年 10 月 5 日 (月) 7 時 21 分 30 秒 (日本時間)
composite number 合成数
6687511404665677820491688122456845239145969985297957620959008164487653456900081654711644326062764748839570887996535368640961138125296862924333985565399651833401740737944464957380026159100494379384742423417854181584334136509355438843<232>
prime factors 素因数
62647990243068175288837974170111503<35>
106747421245578300621297425031199834589026109395339266095638334488284310408021149951085298468353090736957276397902290127364482232534504964333294827881449762380362928935328241522991029564480240285781<198>
factorization results 素因数分解の結果
Input number is 6687511404665677820491688122456845239145969985297957620959008164487653456900081654711644326062764748839570887996535368640961138125296862924333985565399651833401740737944464957380026159100494379384742423417854181584334136509355438843 (232 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=181043222
Step 1 took 8674ms
Step 2 took 4306ms
********** Factor found in step 2: 62647990243068175288837974170111503
Found probable prime factor of 35 digits: 62647990243068175288837974170111503
Probable prime cofactor 106747421245578300621297425031199834589026109395339266095638334488284310408021149951085298468353090736957276397902290127364482232534504964333294827881449762380362928935328241522991029564480240285781 has 198 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:13:38 UTC 2015 年 10 月 5 日 (月) 6 時 13 分 38 秒 (日本時間)

43×10263-79

c254

name 名前KTakahashi
date 日付October 4, 2015 14:38:39 UTC 2015 年 10 月 4 日 (日) 23 時 38 分 39 秒 (日本時間)
composite number 合成数
52721177609793052177658670770114524956292541589415476091908562967202294923896584527520571048333775683569358168580619755480066658926243908056478723391159415152013726329061198611252328923338347221172483804908719822869836671835752656317051224725739534989079<254>
prime factors 素因数
42468530143263390327375787314719807<35>
composite cofactor 合成数の残り
1241417525681801763250615196770001795926372101405033683804648406837777159717675472155110824215026506876964675222453776892937970694714004778003328344229793476296899484699890529295442957268322596666196240901029873218035497<220>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 52721177609793052177658670770114524956292541589415476091908562967202294923896584527520571048333775683569358168580619755480066658926243908056478723391159415152013726329061198611252328923338347221172483804908719822869836671835752656317051224725739534989079 (254 digits)
Using B1=30000000, B2=2962295938, polynomial x^1, x0=2270268000
Step 1 took 26348ms
Step 2 took 2059ms
********** Factor found in step 2: 42468530143263390327375787314719807
Found probable prime factor of 35 digits: 42468530143263390327375787314719807
Composite cofactor 1241417525681801763250615196770001795926372101405033683804648406837777159717675472155110824215026506876964675222453776892937970694714004778003328344229793476296899484699890529295442957268322596666196240901029873218035497 has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 14:35:50 UTC 2015 年 10 月 4 日 (日) 23 時 35 分 50 秒 (日本時間)
403e60--
4511e6610 / 4439CypMay 23, 2017 07:54:44 UTC 2017 年 5 月 23 日 (火) 16 時 54 分 44 秒 (日本時間)

43×10264-79

c210

composite cofactor 合成数の残り
210745857381303229458121016110104095260581504904719485587559864292814253216569132258700613787753354701299775658655711445598894585936416410691758861281029121625918865663736922762369769830625413074393229673133679<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:14:18 UTC 2015 年 10 月 5 日 (月) 6 時 14 分 18 秒 (日本時間)
403e62104KTakahashiOctober 4, 2015 21:14:18 UTC 2015 年 10 月 5 日 (月) 6 時 14 分 18 秒 (日本時間)
4511e6165 / 3974KTakahashiOctober 4, 2015 21:14:18 UTC 2015 年 10 月 5 日 (月) 6 時 14 分 18 秒 (日本時間)

43×10265-79

c231

name 名前KTakahashi
date 日付October 4, 2015 22:22:40 UTC 2015 年 10 月 5 日 (月) 7 時 22 分 40 秒 (日本時間)
composite number 合成数
105094190927083193763268380213646471606372655674628990838388628250264783709151183860581263989379049137232050592218715819327766072720152882394867028014085090245127508750536535881321458614203101970106899451122682061215010649140706507<231>
prime factors 素因数
52819196787292425596346914359376891791<38>
composite cofactor 合成数の残り
1989696877639143026055708966448855935471882660172021196111880165506867506393885441182197442290912798748402617362597704234078381176233900428671765063564505126424173022110557674874321380335804677<193>
factorization results 素因数分解の結果
Input number is 105094190927083193763268380213646471606372655674628990838388628250264783709151183860581263989379049137232050592218715819327766072720152882394867028014085090245127508750536535881321458614203101970106899451122682061215010649140706507 (231 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2416649225
Step 1 took 7176ms
Step 2 took 3978ms
********** Factor found in step 2: 52819196787292425596346914359376891791
Found probable prime factor of 38 digits: 52819196787292425596346914359376891791
Composite cofactor 1989696877639143026055708966448855935471882660172021196111880165506867506393885441182197442290912798748402617362597704234078381176233900428671765063564505126424173022110557674874321380335804677 has 193 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:15:13 UTC 2015 年 10 月 5 日 (月) 6 時 15 分 13 秒 (日本時間)
403e62104KTakahashiOctober 4, 2015 21:15:13 UTC 2015 年 10 月 5 日 (月) 6 時 15 分 13 秒 (日本時間)
4511e63974KTakahashiOctober 4, 2015 21:15:13 UTC 2015 年 10 月 5 日 (月) 6 時 15 分 13 秒 (日本時間)
5043e6267 / 6577KTakahashiOctober 4, 2015 21:15:13 UTC 2015 年 10 月 5 日 (月) 6 時 15 分 13 秒 (日本時間)

43×10266-79

c235

composite cofactor 合成数の残り
1569778065979829952303021339800152489770628292329291815078819534425722809224505085949452693028456279618668715432790748882216748807942417558742453713091154087072817782345398999234321931929529318247371640869555754839015057430770583882969<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:15:35 UTC 2015 年 10 月 5 日 (月) 6 時 15 分 35 秒 (日本時間)
403e60--
4511e6610 / 4439CypMay 23, 2017 07:21:40 UTC 2017 年 5 月 23 日 (火) 16 時 21 分 40 秒 (日本時間)

43×10267-79

c198

composite cofactor 合成数の残り
116142381518688518309704133475522119153332484431761610666496106038973089765706469588922836400914305469491707245421992672153479484290193169507250290626966765037112706678709274288489140522342484708367<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:15:55 UTC 2015 年 10 月 5 日 (月) 6 時 15 分 55 秒 (日本時間)
403e62104KTakahashiOctober 4, 2015 21:15:55 UTC 2015 年 10 月 5 日 (月) 6 時 15 分 55 秒 (日本時間)
4511e6165 / 3974KTakahashiOctober 4, 2015 21:15:55 UTC 2015 年 10 月 5 日 (月) 6 時 15 分 55 秒 (日本時間)

43×10269-79

c224

composite cofactor 合成数の残り
17873512197230186099982957632296238543312560424578921994885786225439021896694377856438659364848406233343453718930564299572669653410365863704937627653871995715077476996891547292405718513324702067241320054459058843888951247843<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:16:12 UTC 2015 年 10 月 5 日 (月) 6 時 16 分 12 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:15:42 UTC 2015 年 10 月 6 日 (火) 16 時 15 分 42 秒 (日本時間)
4511e6494 / 4350CypMay 22, 2017 11:01:58 UTC 2017 年 5 月 22 日 (月) 20 時 1 分 58 秒 (日本時間)

43×10273-79

c241

composite cofactor 合成数の残り
1651587856467414239344493010957690017197332161522922616202913280919490032933598080887101397850486909942931910921358939271408797819445692534430818921257552782112345337955675205965432042671623492506751227484478001384322957537035018695714229631<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:16:39 UTC 2015 年 10 月 5 日 (月) 6 時 16 分 39 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:15:37 UTC 2015 年 10 月 6 日 (火) 16 時 15 分 37 秒 (日本時間)
4511e6494 / 4350CypMay 22, 2017 11:13:39 UTC 2017 年 5 月 22 日 (月) 20 時 13 分 39 秒 (日本時間)

43×10274-79

c226

composite cofactor 合成数の残り
1062213820817369149958783780218110131666558464046723112668754304559854623096057252582195555725408854449268469638871846418656393103424785376663819376999006522605432740251341293737412837701074305182133517959453659534255689630669<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:16:50 UTC 2015 年 10 月 5 日 (月) 6 時 16 分 50 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:14:44 UTC 2015 年 10 月 6 日 (火) 16 時 14 分 44 秒 (日本時間)
4511e6494 / 4350CypMay 22, 2017 08:43:12 UTC 2017 年 5 月 22 日 (月) 17 時 43 分 12 秒 (日本時間)

43×10275-79

c204

composite cofactor 合成数の残り
950398820711894312727829964072440665140955047509009149374418434947175516238116806366544359945241071407829521738276841529402533312203491211528096511758361607371234586487907191599543467194753881229407350381<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 21:17:08 UTC 2015 年 10 月 5 日 (月) 6 時 17 分 8 秒 (日本時間)
403e62104KTakahashiOctober 4, 2015 21:17:08 UTC 2015 年 10 月 5 日 (月) 6 時 17 分 8 秒 (日本時間)
4511e6165 / 3974KTakahashiOctober 4, 2015 21:17:08 UTC 2015 年 10 月 5 日 (月) 6 時 17 分 8 秒 (日本時間)

43×10276-79

c243

composite cofactor 合成数の残り
109572206157416214572711291452891915556899344089110822123500587308212949337371894560686548172479796594344689412568605157226740702635355471111061808400872060275381949957218907083713041854430803874920605108665913492839051283214150827624727254537<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:23:46 UTC 2015 年 10 月 5 日 (月) 7 時 23 分 46 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:14:28 UTC 2015 年 10 月 6 日 (火) 16 時 14 分 28 秒 (日本時間)
4511e6494 / 4350CypMay 22, 2017 10:45:08 UTC 2017 年 5 月 22 日 (月) 19 時 45 分 8 秒 (日本時間)

43×10277-79

c270

name 名前Dmitry Domanov
date 日付March 9, 2017 05:59:18 UTC 2017 年 3 月 9 日 (木) 14 時 59 分 18 秒 (日本時間)
composite number 合成数
467186788760740530564631446625888409052202961773237400155107534941831588791045525126365361674570157923008962275589229857778595767520852629709525451553442193743841086070475068414588887919421978165147550696282749762655801918468649841773232706557601845641617544121628260387<270>
prime factors 素因数
119386830857697291646371069514135777423<39>
24322363812196844280972417002994471942126821<44>
composite cofactor 合成数の残り
160889739648124158437019622698590927397045701779680321244862372583200527417611926787118151839340687148929321140352309380590432588195360500170844989598335837582232974984602113387203360888489<189>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3323734738
Step 1 took 130070ms
Step 2 took 40904ms
********** Factor found in step 2: 119386830857697291646371069514135777423
Found probable prime factor of 39 digits: 119386830857697291646371069514135777423

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=171728506
Step 1 took 119085ms
Step 2 took 31166ms
********** Factor found in step 2: 24322363812196844280972417002994471942126821
Found probable prime factor of 44 digits: 24322363812196844280972417002994471942126821

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:23:56 UTC 2015 年 10 月 5 日 (月) 7 時 23 分 56 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:14:21 UTC 2015 年 10 月 6 日 (火) 16 時 14 分 21 秒 (日本時間)
4511e62100600Dmitry DomanovMarch 7, 2017 19:47:57 UTC 2017 年 3 月 8 日 (水) 4 時 47 分 57 秒 (日本時間)
1500Dmitry DomanovMarch 9, 2017 23:40:47 UTC 2017 年 3 月 10 日 (金) 8 時 40 分 47 秒 (日本時間)
5043e6644 / 7062Dmitry DomanovMarch 11, 2017 17:11:51 UTC 2017 年 3 月 12 日 (日) 2 時 11 分 51 秒 (日本時間)

43×10278-79

c264

composite cofactor 合成数の残り
495229828260110104169661200918110387374135744672927535030963147354382012036344356541827476860782269216484935137306546906882351926620272440274498590790942343334308189211881781397172855647214158671534512518118741414929790307025856102181053229483435177317698716947713<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:24:05 UTC 2015 年 10 月 5 日 (月) 7 時 24 分 5 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:14:15 UTC 2015 年 10 月 6 日 (火) 16 時 14 分 15 秒 (日本時間)
4511e6494 / 4350CypMay 20, 2017 18:19:09 UTC 2017 年 5 月 21 日 (日) 3 時 19 分 9 秒 (日本時間)

43×10280-79

c253

composite cofactor 合成数の残り
7414423900381332334300914691828740755729084494542467549012058223526724244415870668627703697206027945155075670183260258607421921014630311002021716989845592244928563130311327644751658789173510808591748946093780145208584058581032514349584968672148486375671<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:24:25 UTC 2015 年 10 月 5 日 (月) 7 時 24 分 25 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:13:38 UTC 2015 年 10 月 6 日 (火) 16 時 13 分 38 秒 (日本時間)
4511e6494 / 4350CypMay 20, 2017 17:59:52 UTC 2017 年 5 月 21 日 (日) 2 時 59 分 52 秒 (日本時間)

43×10281-79

c266

name 名前Erik Branger
date 日付October 6, 2015 07:01:48 UTC 2015 年 10 月 6 日 (火) 16 時 1 分 48 秒 (日本時間)
composite number 合成数
16747270664105026149898084964117070579456994352089683491305505455991934347344206488652854430201815304677375203345611394770894942521382831315189883046473844640712376446961080984118992967438675278789674970927625517640170843897224400516799522710554958250825431812675849<266>
prime factors 素因数
5681860282751947183087273702498695179<37>
2947497796618411020015103712798920593521902918748731250867179124500917127086625738038026164669904695145028367639179618169339528615102576984139997966589171041935843666771206739647392188116816957405459657324016801832010026663500731<229>
factorization results 素因数分解の結果
Mon 2015/10/05 21:23:25 UTC GMP-ECM 6.4.4 [configured with MPIR 2.7.0, --enable-asm-redc] [ECM]
Mon 2015/10/05 21:23:25 UTC Input number is 16747270664105026149898084964117070579456994352089683491305505455991934347344206488652854430201815304677375203345611394770894942521382831315189883046473844640712376446961080984118992967438675278789674970927625517640170843897224400516799522710554958250825431812675849 (266 digits)
Mon 2015/10/05 21:23:25 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=351524650
Mon 2015/10/05 21:23:25 UTC Step 1 took 20545ms
Mon 2015/10/05 21:23:25 UTC Step 2 took 7769ms
Mon 2015/10/05 21:23:25 UTC ********** Factor found in step 2: 5681860282751947183087273702498695179
Mon 2015/10/05 21:23:25 UTC Found probable prime factor of 37 digits: 5681860282751947183087273702498695179
Mon 2015/10/05 21:23:25 UTC Probable prime cofactor 2947497796618411020015103712798920593521902918748731250867179124500917127086625738038026164669904695145028367639179618169339528615102576984139997966589171041935843666771206739647392188116816957405459657324016801832010026663500731 has 229 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:24:37 UTC 2015 年 10 月 5 日 (月) 7 時 24 分 37 秒 (日本時間)

43×10282-79

c267

name 名前KTakahashi
date 日付October 4, 2015 22:25:52 UTC 2015 年 10 月 5 日 (月) 7 時 25 分 52 秒 (日本時間)
composite number 合成数
177982980419410148017493242902497249694458015794631470564501511605800172249410136381060355742214590467343032205238121365669953403310410536558832570117607013763562444970409192856275555379641635267423638215552795043250217081095497697936152718895465707188524406122399183<267>
prime factors 素因数
86257779897875495531059026611151893<35>
composite cofactor 合成数の残り
2063384666636821451080581899730747194831496496104952127646052030561561876192568733318781295404560653401314148490423442813344161699330959353652921087220159301100266926547169132528215022566389900578091389676711644665809247180299208531<232>
factorization results 素因数分解の結果
Input number is 177982980419410148017493242902497249694458015794631470564501511605800172249410136381060355742214590467343032205238121365669953403310410536558832570117607013763562444970409192856275555379641635267423638215552795043250217081095497697936152718895465707188524406122399183 (267 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2095819016
Step 1 took 7988ms
Step 2 took 4149ms
********** Factor found in step 2: 86257779897875495531059026611151893
Found probable prime factor of 35 digits: 86257779897875495531059026611151893
Composite cofactor 2063384666636821451080581899730747194831496496104952127646052030561561876192568733318781295404560653401314148490423442813344161699330959353652921087220159301100266926547169132528215022566389900578091389676711644665809247180299208531 has 232 digits
software ソフトウェア
GMP-ECM 6.4.4

c232

name 名前Cyp
date 日付May 19, 2017 16:03:05 UTC 2017 年 5 月 20 日 (土) 1 時 3 分 5 秒 (日本時間)
composite number 合成数
2063384666636821451080581899730747194831496496104952127646052030561561876192568733318781295404560653401314148490423442813344161699330959353652921087220159301100266926547169132528215022566389900578091389676711644665809247180299208531<232>
prime factors 素因数
152331665844516257860073028147543383<36>
13545343019769127138432429372544758319371163142330693602968287070880302675623589716099996041710540735964990607880785908999076997930240918618482223376419716783093389587521515646635730596786105977957<197>
factorization results 素因数分解の結果
Run 285 out of 610:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4178401126
Step 1 took 103180ms
Step 2 took 29127ms
********** Factor found in step 2: 152331665844516257860073028147543383
Found probable prime factor of 36 digits: 152331665844516257860073028147543383
Probable prime cofactor 13545343019769127138432429372544758319371163142330693602968287070880302675623589716099996041710540735964990607880785908999076997930240918618482223376419716783093389587521515646635730596786105977957 has 197 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:24:52 UTC 2015 年 10 月 5 日 (月) 7 時 24 分 52 秒 (日本時間)
403e60 / 1120--
4511e6285 / 4439CypMay 19, 2017 16:03:04 UTC 2017 年 5 月 20 日 (土) 1 時 3 分 4 秒 (日本時間)

43×10283-79

c262

composite cofactor 合成数の残り
2527803894961574173247607482725409349589634184041607709492034996622832470670174991918697376377433637595646017748480893606534895811310340521948232321702139308138513744269652089196456957452946248506966035383525835639705270902547266265707400831865887226739970698013<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:25:06 UTC 2015 年 10 月 5 日 (月) 7 時 25 分 6 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:13:31 UTC 2015 年 10 月 6 日 (火) 16 時 13 分 31 秒 (日本時間)
4511e6600 / 4350Dmitry DomanovMarch 7, 2017 19:47:41 UTC 2017 年 3 月 8 日 (水) 4 時 47 分 41 秒 (日本時間)

43×10284-79

c285

composite cofactor 合成数の残り
159259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:26:14 UTC 2015 年 10 月 5 日 (月) 7 時 26 分 14 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:13:25 UTC 2015 年 10 月 6 日 (火) 16 時 13 分 25 秒 (日本時間)
4511e6800 / 4350Dmitry DomanovJanuary 21, 2016 17:53:33 UTC 2016 年 1 月 22 日 (金) 2 時 53 分 33 秒 (日本時間)

43×10286-79

c250

composite cofactor 合成数の残り
1389408866989215177724722041500354317981091274438355707223244058189180503307763689160890446877558526699964738687785459071504406207759170469400915282776666618670742351066888708444771935696132066650844187699318090385480687647135837290613915282569694543<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:26:42 UTC 2015 年 10 月 5 日 (月) 7 時 26 分 42 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:12:47 UTC 2015 年 10 月 6 日 (火) 16 時 12 分 47 秒 (日本時間)
4511e6494 / 4350CypMay 20, 2017 12:05:47 UTC 2017 年 5 月 20 日 (土) 21 時 5 分 47 秒 (日本時間)

43×10288-79

c258

name 名前Erik Branger
date 日付October 6, 2015 07:03:17 UTC 2015 年 10 月 6 日 (火) 16 時 3 分 17 秒 (日本時間)
composite number 合成数
196283478967789252617937588238206664683512548254105660290265391134970373005899556049903659203266391954375836792251414755381555776872027298569954878083307746480275796336345349734194415788653078371349828194058439523080370847210923406991198354293949780220978829<258>
prime factors 素因数
204325830470860301459026496870460591347<39>
960639575111292648059049629484295370187828828079297995276989511437747191398846610359919813401432857915191750885035587678499615012086243075327611519121176716480163104956513590823502973404921089673121199184722226163310207<219>
factorization results 素因数分解の結果
Mon 2015/10/05 23:48:30 UTC GMP-ECM 6.4.4 [configured with MPIR 2.7.0, --enable-asm-redc] [ECM]
Mon 2015/10/05 23:48:30 UTC Input number is 196283478967789252617937588238206664683512548254105660290265391134970373005899556049903659203266391954375836792251414755381555776872027298569954878083307746480275796336345349734194415788653078371349828194058439523080370847210923406991198354293949780220978829 (258 digits)
Mon 2015/10/05 23:48:30 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2722661671
Mon 2015/10/05 23:48:30 UTC Step 1 took 20124ms
Mon 2015/10/05 23:48:30 UTC Step 2 took 7410ms
Mon 2015/10/05 23:48:30 UTC ********** Factor found in step 2: 204325830470860301459026496870460591347
Mon 2015/10/05 23:48:30 UTC Found probable prime factor of 39 digits: 204325830470860301459026496870460591347
Mon 2015/10/05 23:48:30 UTC Probable prime cofactor 960639575111292648059049629484295370187828828079297995276989511437747191398846610359919813401432857915191750885035587678499615012086243075327611519121176716480163104956513590823502973404921089673121199184722226163310207 has 219 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:27:04 UTC 2015 年 10 月 5 日 (月) 7 時 27 分 4 秒 (日本時間)

43×10289-79

c262

composite cofactor 合成数の残り
2339633692191626938638837297035043520731632841598254735925920237161278329172448344874380159831948354568508681893970600411331311744446764166385919608155603849535852364294640491909248565050535144895361473293621099076834351123550957619539488235831891897370411980439<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:27:14 UTC 2015 年 10 月 5 日 (月) 7 時 27 分 14 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:11:26 UTC 2015 年 10 月 6 日 (火) 16 時 11 分 26 秒 (日本時間)
4511e6600 / 4350Dmitry DomanovMarch 7, 2017 19:47:19 UTC 2017 年 3 月 8 日 (水) 4 時 47 分 19 秒 (日本時間)

43×10290-79

c225

composite cofactor 合成数の残り
857831875512468787441002786312915463797383386160260439779200926186597972278315654452382568727010473027312417151445767499514714976526526598967227530402178625116117694931247233554908054437164419284869911728030539228718027819349<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:27:26 UTC 2015 年 10 月 5 日 (月) 7 時 27 分 26 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:11:19 UTC 2015 年 10 月 6 日 (火) 16 時 11 分 19 秒 (日本時間)
4511e6494 / 4350CypMay 20, 2017 08:21:28 UTC 2017 年 5 月 20 日 (土) 17 時 21 分 28 秒 (日本時間)

43×10291-79

c262

composite cofactor 合成数の残り
2846750919013666508860693911181088162030556697818410388553245006889025380966188986582956286691395315469987503101446939631485734659633366730268058826784344681677610966281322535292789887479463495293228093060311944332456809192399833103275648525727536251592944164991<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:27:44 UTC 2015 年 10 月 5 日 (月) 7 時 27 分 44 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:10:44 UTC 2015 年 10 月 6 日 (火) 16 時 10 分 44 秒 (日本時間)
4511e6600 / 4350Dmitry DomanovMarch 7, 2017 19:47:07 UTC 2017 年 3 月 8 日 (水) 4 時 47 分 7 秒 (日本時間)

43×10292-79

c266

composite cofactor 合成数の残り
26807212691884177369478241811075651578078248283359512227631194365926263233906911335651183124738039879050635016434416342681079543333242513931377482228405417660860419332621383792955338400274231775378378187176422994788316795127263912974149715040266147592270185052696489<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:27:58 UTC 2015 年 10 月 5 日 (月) 7 時 27 分 58 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:10:20 UTC 2015 年 10 月 6 日 (火) 16 時 10 分 20 秒 (日本時間)
4511e6600 / 4350Dmitry DomanovMarch 7, 2017 19:46:55 UTC 2017 年 3 月 8 日 (水) 4 時 46 分 55 秒 (日本時間)

43×10293-79

c256

name 名前KTakahashi
date 日付October 4, 2015 22:29:44 UTC 2015 年 10 月 5 日 (月) 7 時 29 分 44 秒 (日本時間)
composite number 合成数
1549714029829861562543888113573550104430795984932863602979769532451281934432695185073230777620925040154707885559089865142439993606232339294728815930798648766351271935242145514497246392588454775477166729950395161461164998495713496704883222086465023538716711<256>
prime factors 素因数
42043563029903191869231636674869471<35>
composite cofactor 合成数の残り
36859721635096393572617339517715646197965765595917343392155151403486277293310699053342182932391154584931226128301381569562393657421740017147433610925190621673499221895641692926560217206400204839104692827313134809511680441<221>
factorization results 素因数分解の結果
Input number is 1549714029829861562543888113573550104430795984932863602979769532451281934432695185073230777620925040154707885559089865142439993606232339294728815930798648766351271935242145514497246392588454775477166729950395161461164998495713496704883222086465023538716711 (256 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2115895334
Step 1 took 7254ms
Step 2 took 3604ms
********** Factor found in step 2: 42043563029903191869231636674869471
Found probable prime factor of 35 digits: 42043563029903191869231636674869471
Composite cofactor 36859721635096393572617339517715646197965765595917343392155151403486277293310699053342182932391154584931226128301381569562393657421740017147433610925190621673499221895641692926560217206400204839104692827313134809511680441 has 221 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:28:15 UTC 2015 年 10 月 5 日 (月) 7 時 28 分 15 秒 (日本時間)
403e60--
4511e6610 / 4439CypMay 19, 2017 18:40:54 UTC 2017 年 5 月 20 日 (土) 3 時 40 分 54 秒 (日本時間)

43×10294-79

c269

name 名前KTakahashi
date 日付October 4, 2015 22:30:37 UTC 2015 年 10 月 5 日 (月) 7 時 30 分 37 秒 (日本時間)
composite number 合成数
34958963162294965463040669892072140675993816293919164153788280861816101472564855173884787577448047131925376533802870747157687160134577179613652427563045472906461862021976522019996402462441692087642899345642314878971879118910089397321146296589259016211171135171532693511<269>
prime factors 素因数
9684376011642011687861057117620280275483<40>
composite cofactor 合成数の残り
3609831249867752745336839909492111289953523900292812911795923897364070133553069195626320165938439328170689359751635792686557374538437077127496229535899603581499580980956821897682787864009760779453557204598426708862044273503914117<229>
factorization results 素因数分解の結果
Input number is 34958963162294965463040669892072140675993816293919164153788280861816101472564855173884787577448047131925376533802870747157687160134577179613652427563045472906461862021976522019996402462441692087642899345642314878971879118910089397321146296589259016211171135171532693511 (269 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3291235673
Step 1 took 8019ms
Step 2 took 4196ms
********** Factor found in step 2: 9684376011642011687861057117620280275483
Found probable prime factor of 40 digits: 9684376011642011687861057117620280275483
Composite cofactor 3609831249867752745336839909492111289953523900292812911795923897364070133553069195626320165938439328170689359751635792686557374538437077127496229535899603581499580980956821897682787864009760779453557204598426708862044273503914117 has 229 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:28:34 UTC 2015 年 10 月 5 日 (月) 7 時 28 分 34 秒 (日本時間)
403e60--
4511e6610 / 4439CypMay 19, 2017 16:22:38 UTC 2017 年 5 月 20 日 (土) 1 時 22 分 38 秒 (日本時間)

43×10295-79

c283

composite cofactor 合成数の残り
1099387969528137055434333957142496310774643867968028868440396435450222885776752250135622240612004556504187702416269953719532479026642114638878285501407971705315484438514136400249888024126846513074728574294534367580862117714562912203167942394304459684538487051968010915475884222681381<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:30:56 UTC 2015 年 10 月 5 日 (月) 7 時 30 分 56 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:10:09 UTC 2015 年 10 月 6 日 (火) 16 時 10 分 9 秒 (日本時間)
4511e6600 / 4350Dmitry DomanovMarch 7, 2017 19:46:38 UTC 2017 年 3 月 8 日 (水) 4 時 46 分 38 秒 (日本時間)

43×10296-79

c297

composite cofactor 合成数の残り
159259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<297>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovOctober 4, 2015 22:23:32 UTC 2015 年 10 月 5 日 (月) 7 時 23 分 32 秒 (日本時間)
4511e6600 / 4342Dmitry DomanovOctober 5, 2015 20:13:27 UTC 2015 年 10 月 6 日 (火) 5 時 13 分 27 秒 (日本時間)

43×10297-79

c262

composite cofactor 合成数の残り
4385719773254196157008747402172102885607497941969106404547410770757360644309225420388978247536934345724291980903616780375201549277359684370389750713740935640866342418449591641887002657260981289061542545800001983429116384342088108447378498711981483294529854423323<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:31:14 UTC 2015 年 10 月 5 日 (月) 7 時 31 分 14 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:09:53 UTC 2015 年 10 月 6 日 (火) 16 時 9 分 53 秒 (日本時間)
4511e6494 / 4350CypMay 19, 2017 16:31:18 UTC 2017 年 5 月 20 日 (土) 1 時 31 分 18 秒 (日本時間)

43×10298-79

c287

name 名前KTakahashi
date 日付October 4, 2015 22:32:16 UTC 2015 年 10 月 5 日 (月) 7 時 32 分 16 秒 (日本時間)
composite number 合成数
46752179448796052856249766717322509244068285978139953779149922433982140973401823616671316476764520128159817187997881748732116301954383082294647262354329220617777676229995617176901398106047850067347336698301920448895479396241170846111249744507835025961907448909260439737331595630061177793<287>
prime factors 素因数
404142354040809837299992665514843<33>
composite cofactor 合成数の残り
115682454415740525708620922654847652421851936071964822891351351134532037429919368232876094514460934010393908926611305528666383908868069070080963927057116219550385098033215729285886305424957126288516039272411317088453658243828280553034038025651312017605651<255>
factorization results 素因数分解の結果
Input number is 46752179448796052856249766717322509244068285978139953779149922433982140973401823616671316476764520128159817187997881748732116301954383082294647262354329220617777676229995617176901398106047850067347336698301920448895479396241170846111249744507835025961907448909260439737331595630061177793 (287 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2941652184
Step 1 took 9750ms
Step 2 took 4727ms
********** Factor found in step 2: 404142354040809837299992665514843
Found probable prime factor of 33 digits: 404142354040809837299992665514843
Composite cofactor 115682454415740525708620922654847652421851936071964822891351351134532037429919368232876094514460934010393908926611305528666383908868069070080963927057116219550385098033215729285886305424957126288516039272411317088453658243828280553034038025651312017605651 has 255 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:31:24 UTC 2015 年 10 月 5 日 (月) 7 時 31 分 24 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:05:00 UTC 2015 年 10 月 6 日 (火) 16 時 5 分 0 秒 (日本時間)
4511e6494 / 4350CypMay 18, 2017 13:36:52 UTC 2017 年 5 月 18 日 (木) 22 時 36 分 52 秒 (日本時間)

43×10299-79

c290

name 名前Erik Branger
date 日付October 6, 2015 07:06:26 UTC 2015 年 10 月 6 日 (火) 16 時 6 分 26 秒 (日本時間)
composite number 合成数
29860442858661544088416916912349357723769106309074312904111196337127433223071618262040096491659206177549962562208313470849888185679049764841601889994614567257720219229502432970631955156593170120695760663052777528680400985789874934664346707446580156447556191917175410658125603419833628013131<290>
prime factors 素因数
29608883991140328987201973393757501861<38>
composite cofactor 合成数の残り
1008496060425529290515981144064769103147704445898852129872176294616852217753035791160231205291679447079117673471999731578269201559624254073036892616716290958923357447248351635018973646842867861166253364999404833117503058858145258587212771965020268321071<253>
factorization results 素因数分解の結果
Tue 2015/10/06 05:23:08 UTC GMP-ECM 6.4.4 [configured with MPIR 2.7.0, --enable-asm-redc] [ECM]
Tue 2015/10/06 05:23:08 UTC Input number is 29860442858661544088416916912349357723769106309074312904111196337127433223071618262040096491659206177549962562208313470849888185679049764841601889994614567257720219229502432970631955156593170120695760663052777528680400985789874934664346707446580156447556191917175410658125603419833628013131 (290 digits)
Tue 2015/10/06 05:23:08 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3749227647
Tue 2015/10/06 05:23:08 UTC Step 1 took 27128ms
Tue 2015/10/06 05:23:08 UTC Step 2 took 8362ms
Tue 2015/10/06 05:23:08 UTC ********** Factor found in step 2: 29608883991140328987201973393757501861
Tue 2015/10/06 05:23:08 UTC Found probable prime factor of 38 digits: 29608883991140328987201973393757501861
Tue 2015/10/06 05:23:08 UTC Composite cofactor 1008496060425529290515981144064769103147704445898852129872176294616852217753035791160231205291679447079117673471999731578269201559624254073036892616716290958923357447248351635018973646842867861166253364999404833117503058858145258587212771965020268321071 has 253 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaOctober 4, 2015 10:00:00 UTC 2015 年 10 月 4 日 (日) 19 時 0 分 0 秒 (日本時間)
786KTakahashiOctober 4, 2015 22:31:35 UTC 2015 年 10 月 5 日 (月) 7 時 31 分 35 秒 (日本時間)
403e6400Erik BrangerOctober 6, 2015 07:06:00 UTC 2015 年 10 月 6 日 (火) 16 時 6 分 0 秒 (日本時間)
4511e6494 / 4350CypMay 18, 2017 13:23:13 UTC 2017 年 5 月 18 日 (木) 22 時 23 分 13 秒 (日本時間)