Table of contents 目次

5×10152-1

c128

name 名前Tyler Cadigan
date 日付January 18, 2007 05:14:53 UTC 2007 年 1 月 18 日 (木) 14 時 14 分 53 秒 (日本時間)
composite number 合成数
32482522374746180058621483531208610399036688675149812231189223879705895716746882551984274642698225023160685803137554338341977051<128>
prime factors 素因数
744672514925099317753393598897750509322858911004792161<54>
43619875480449736340301463870436173570992711432762799275899219166322466491<74>
factorization results 素因数分解の結果
Number: trial
N=32482522374746180058621483531208610399036688675149812231189223879705895716746882551984274642698225023160685803137554338341977051
  ( 128 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=744672514925099317753393598897750509322858911004792161 (pp54)
 r2=43619875480449736340301463870436173570992711432762799275899219166322466491 (pp74)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 47.42 hours.
Scaled time: 24.85 units (timescale=0.524).
Factorization parameters were as follows:
n: 32482522374746180058621483531208610399036688675149812231189223879705895716746882551984274642698225023160685803137554338341977051
m: 1000000000000000000000000000000
c5: 500
c0: -1
skew: 1
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175758, largePrimes:5321331 encountered
Relations: rels:5123801, finalFF:397027
Max relations in full relation-set: 0
Initial matrix: 352126 x 397027 with sparse part having weight 34163740.
Pruned matrix : 330330 x 332154 with weight 25010739.
Total sieving time: 37.60 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 9.06 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 47.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS-0.77.1-20060722-pentium4
execution environment 実行環境
Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

5×10157-1

c141

name 名前Robert Backstrom
date 日付April 15, 2007 15:00:30 UTC 2007 年 4 月 16 日 (月) 0 時 0 分 30 秒 (日本時間)
composite number 合成数
476550677029524343665946953895574025260049383895835025193583187834239548403156077893198662913632520004443527829226385778591426880376782309793<141>
prime factors 素因数
154950203473026832889059234829083441818646269399640511<54>
3075508559189988737150043030934655780723081191090507472552844326729132490697996382741663<88>
factorization results 素因数分解の結果
Number: n
N=476550677029524343665946953895574025260049383895835025193583187834239548403156077893198662913632520004443527829226385778591426880376782309793
  ( 141 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=154950203473026832889059234829083441818646269399640511 (pp54)
 r2=3075508559189988737150043030934655780723081191090507472552844326729132490697996382741663 (pp88)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 36.22 hours.
Scaled time: 43.28 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_4_9_157
n: 476550677029524343665946953895574025260049383895835025193583187834239548403156077893198662913632520004443527829226385778591426880376782309793
type: snfs
skew: 1.44
deg: 5
c5: 4
c0: -25
m: 50000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:216816, AFBsize:216391, largePrimes:6478765 encountered
Relations: rels:5936078, finalFF:494034
Max relations in full relation-set: 28
Initial matrix: 433271 x 494034 with sparse part having weight 27845713.
Pruned matrix : 377954 x 380184 with weight 17470532.
Total sieving time: 33.06 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.86 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 36.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

5×10158-1

c130

name 名前Jo Yeong Uk
date 日付July 22, 2007 13:59:11 UTC 2007 年 7 月 22 日 (日) 22 時 59 分 11 秒 (日本時間)
composite number 合成数
1350309076581584038910089762282315799270660996144707824782483833075965830415212667287719844360646971845236733069095577551786307619<130>
prime factors 素因数
3914379888823857856496565940348441055481401908952110819<55>
344961172633478712235231612125560933379158026766703661954210221883077707201<75>
factorization results 素因数分解の結果
Number: 49999_158
N=1350309076581584038910089762282315799270660996144707824782483833075965830415212667287719844360646971845236733069095577551786307619
  ( 130 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=3914379888823857856496565940348441055481401908952110819 (pp55)
 r2=344961172633478712235231612125560933379158026766703661954210221883077707201 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.89 hours.
Scaled time: 53.09 units (timescale=2.133).
Factorization parameters were as follows:
n: 1350309076581584038910089762282315799270660996144707824782483833075965830415212667287719844360646971845236733069095577551786307619
m: 100000000000000000000000000000000
c5: 1
c0: -20
skew: 1.82
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:282402, largePrimes:5586780 encountered
Relations: rels:5610115, finalFF:652381
Max relations in full relation-set: 28
Initial matrix: 565612 x 652381 with sparse part having weight 39533074.
Pruned matrix : 493839 x 496731 with weight 26115813.
Total sieving time: 23.41 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.35 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

5×10160-1

c118

name 名前Sinkiti Sibata
date 日付September 18, 2006 01:25:59 UTC 2006 年 9 月 18 日 (月) 10 時 25 分 59 秒 (日本時間)
composite number 合成数
2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681<118>
prime factors 素因数
6893933938446466919399636517410130127156761488611<49>
363485282102468445025331961873781689545727542437808306501301663929371<69>
factorization results 素因数分解の結果
Number: 49999_160
N=2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681
  ( 118 digits)
Divisors found:
 r1=6893933938446466919399636517410130127156761488611 (pp49)
 r2=363485282102468445025331961873781689545727542437808306501301663929371 (pp69)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 101.60 hours.
Scaled time: 68.58 units (timescale=0.675).
Factorization parameters were as follows:
name: 49999_160
n: 2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681
skew: 67698.81
# norm 1.66e+16
c5: 43680
c4: 2257503728
c3: -777745474760110
c2: -6995506859892789237
c1: 1061094916189007052816270
c0: 6870339507820636323602079525
# alpha -6.12
Y1: 1479919241581
Y0: -35623294165211846579056
# Murphy_E 3.92e-10
# M 2441904005236875944325738509808338119467647459205288901605343286851365346903917443586164924402372617797036892016430170
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4170001)
Primes: RFBsize:315948, AFBsize:315757, largePrimes:7681791 encountered
Relations: rels:7773988, finalFF:761206
Max relations in full relation-set: 28
Initial matrix: 631791 x 761206 with sparse part having weight 66536489.
Pruned matrix : 524261 x 527483 with weight 42459606.
Total sieving time: 84.05 hours.
Total relation processing time: 0.97 hours.
Matrix solve time: 16.09 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 101.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin

5×10161-1

c142

name 名前Robert Backstrom
date 日付October 1, 2007 19:29:57 UTC 2007 年 10 月 2 日 (火) 4 時 29 分 57 秒 (日本時間)
composite number 合成数
6467351798058730387628097619584464793561004208531537922182496075642274563849187638841619505437822847268801141316782851382812647988076505067497<142>
prime factors 素因数
205172085665013628136788854347422145538579372307983152097920947502671<69>
31521596990625887572504276079879084677165618298704568194646451128941172807<74>
factorization results 素因数分解の結果
Number: n
N=6467351798058730387628097619584464793561004208531537922182496075642274563849187638841619505437822847268801141316782851382812647988076505067497
  ( 142 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Oct 02 05:21:23 2007  prp69 factor: 205172085665013628136788854347422145538579372307983152097920947502671
Tue Oct 02 05:21:23 2007  prp74 factor: 31521596990625887572504276079879084677165618298704568194646451128941172807
Tue Oct 02 05:21:23 2007  elapsed time 01:18:32 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 29.84 hours.
Scaled time: 43.39 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_4_9_161
n: 6467351798058730387628097619584464793561004208531537922182496075642274563849187638841619505437822847268801141316782851382812647988076505067497
skew: 0.46
deg: 5
c5: 50
c0: -1
m: 100000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1600000)
Primes: RFBsize:203362, AFBsize:203587, largePrimes:7032000 encountered
Relations: rels:6494307, finalFF:456833
Max relations in full relation-set: 28
Initial matrix: 407014 x 456833 with sparse part having weight 35481673.
Pruned matrix : 369264 x 371363 with weight 25332214.
Total sieving time: 29.63 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 29.84 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10162-1

c133

name 名前Robert Backstrom
date 日付January 13, 2008 23:50:27 UTC 2008 年 1 月 14 日 (月) 8 時 50 分 27 秒 (日本時間)
composite number 合成数
1386717638426251931934033806378717686203165786751271889807208433424201191175011460788311942354451703713581361177260630054458086922449<133>
prime factors 素因数
7739832354657573536230860093069953953660396661<46>
179166366257503162309509372277349334970926729613420475526494728627218732934704149702509<87>
factorization results 素因数分解の結果
Number: n
N=1386717638426251931934033806378717686203165786751271889807208433424201191175011460788311942354451703713581361177260630054458086922449
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon Jan 14 10:32:34 2008  prp46 factor: 7739832354657573536230860093069953953660396661
Mon Jan 14 10:32:34 2008  prp87 factor: 179166366257503162309509372277349334970926729613420475526494728627218732934704149702509
Mon Jan 14 10:32:34 2008  elapsed time 00:57:29 (Msieve 1.32)

Version: GGNFS-0.77.1-20050930-k8
Total time: 39.69 hours.
Scaled time: 33.26 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_4_9_162
n: 1386717638426251931934033806378717686203165786751271889807208433424201191175011460788311942354451703713581361177260630054458086922449
type: snfs
deg: 5
c5: 500
c0: -1
skew: 0.29
m: 100000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3700000)
Primes: RFBsize:216816, AFBsize:216391, largePrimes:5827763 encountered
Relations: rels:5828091, finalFF:514396
Max relations in full relation-set: 28
Initial matrix: 433273 x 514396 with sparse part having weight 53218789.
Pruned matrix : 400490 x 402720 with weight 39410526.
Total sieving time: 39.57 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 39.69 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

5×10165-1

c155

name 名前Robert Backstrom
date 日付October 15, 2007 12:34:34 UTC 2007 年 10 月 15 日 (月) 21 時 34 分 34 秒 (日本時間)
composite number 合成数
11670235611561044253628931909394969161619544523964876135974702959832102611543850287772225137109509941642444928668610984199652981246175861323416965983211097<155>
prime factors 素因数
4418255297469253568147847349351285035723609901981851222353873612047<67>
2641367423527036890767831864312306241956122491114136519637229891724953923688971860336151<88>
factorization results 素因数分解の結果
Number: n
N=11670235611561044253628931909394969161619544523964876135974702959832102611543850287772225137109509941642444928668610984199652981246175861323416965983211097
  ( 155 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon Oct 15 22:21:57 2007  prp67 factor: 4418255297469253568147847349351285035723609901981851222353873612047
Mon Oct 15 22:21:57 2007  prp88 factor: 2641367423527036890767831864312306241956122491114136519637229891724953923688971860336151
Mon Oct 15 22:21:57 2007  elapsed time 01:18:34 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.16 hours.
Scaled time: 64.21 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_4_9_165
n: 11670235611561044253628931909394969161619544523964876135974702959832102611543850287772225137109509941642444928668610984199652981246175861323416965983211097
skew: 0.72
deg: 5
c5: 5
c0: -1
m: 1000000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2400000)
Primes: RFBsize:203362, AFBsize:203387, largePrimes:7325021 encountered
Relations: rels:6796373, finalFF:457305
Max relations in full relation-set: 28
Initial matrix: 406814 x 457305 with sparse part having weight 40727776.
Pruned matrix : 379736 x 381834 with weight 30695175.
Total sieving time: 43.93 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 44.16 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

5×10168-1

c149

name 名前Robert Backstrom
date 日付July 18, 2008 07:27:12 UTC 2008 年 7 月 18 日 (金) 16 時 27 分 12 秒 (日本時間)
composite number 合成数
78612471559442958193948932412621943215928354030608716743603360935146350691540877706643356686115717423275593902051381288373526750237641857883878895151<149>
prime factors 素因数
22639721157902129095414403005942496800349<41>
457434303099638694586122437203847366912844131<45>
7590871641081854629092704253048698545019692817001067700599918729<64>
factorization results 素因数分解の結果
Number: n
N=78612471559442958193948932412621943215928354030608716743603360935146350691540877706643356686115717423275593902051381288373526750237641857883878895151
  ( 149 digits)
SNFS difficulty: 169 digits.
Divisors found:

Fri Jul 18 13:57:52 2008  prp41 factor: 22639721157902129095414403005942496800349
Fri Jul 18 13:57:52 2008  prp45 factor: 457434303099638694586122437203847366912844131
Fri Jul 18 13:57:52 2008  prp64 factor: 7590871641081854629092704253048698545019692817001067700599918729
Fri Jul 18 13:57:52 2008  elapsed time 03:10:45 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 55.74 hours.
Scaled time: 36.51 units (timescale=0.655).
Factorization parameters were as follows:
name: KA_4_9_168
n: 78612471559442958193948932412621943215928354030608716743603360935146350691540877706643356686115717423275593902051381288373526750237641857883878895151
skew: 0.91
deg: 5
c5: 8
c0: -5
m: 5000000000000000000000000000000000
type: snfs
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2402509)
Primes: RFBsize:399993, AFBsize:399814, largePrimes:9619479 encountered
Relations: rels:9166302, finalFF:834416
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 55.38 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,50,50,2.5,2.5,100000
total time: 55.74 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10169-1

c167

name 名前Robert Backstrom
date 日付May 22, 2007 13:21:40 UTC 2007 年 5 月 22 日 (火) 22 時 21 分 40 秒 (日本時間)
composite number 合成数
60024009603841536614645858343337334933973589435774309723889555822328931572629051620648259303721488595438175270108043217286914765906362545018007202881152460984393757503<167>
prime factors 素因数
51971109847877751141565924226072367623<38>
6247449254103117689987713647000874500741834590985633042232135777<64>
184867374942010724757709190165050993402607186564005758034404013993<66>
factorization results 素因数分解の結果
Number: n
N=60024009603841536614645858343337334933973589435774309723889555822328931572629051620648259303721488595438175270108043217286914765906362545018007202881152460984393757503
  ( 167 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=51971109847877751141565924226072367623 (pp38)
 r2=6247449254103117689987713647000874500741834590985633042232135777 (pp64)
 r3=184867374942010724757709190165050993402607186564005758034404013993 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 80.00 hours.
Scaled time: 58.00 units (timescale=0.725).
Factorization parameters were as follows:
name: KA_4_9_169
n: 60024009603841536614645858343337334933973589435774309723889555822328931572629051620648259303721488595438175270108043217286914765906362545018007202881152460984393757503
skew: 1.15
deg: 5
c5: 1
c0: -2
m: 10000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3100001)
Primes: RFBsize:348513, AFBsize:348176, largePrimes:7957180 encountered
Relations: rels:7622391, finalFF:810632
Max relations in full relation-set: 48
Initial matrix: 696753 x 810632 with sparse part having weight 43718412.
Pruned matrix : 593010 x 596557 with weight 26495728.
Total sieving time: 70.42 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 8.76 hours.
Total square root time: 0.54 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 80.00 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5×10170-1

c156

name 名前Robert Backstrom
date 日付October 1, 2008 18:34:18 UTC 2008 年 10 月 2 日 (木) 3 時 34 分 18 秒 (日本時間)
composite number 合成数
576941897363832680247990659532154636533269260043447804982278645257355362380723176817840997220371791999561855565743580805836706271803510382912248634396047711<156>
prime factors 素因数
414098898368494463344506663169333769<36>
1393246636581073462780644946707410311348854022175587735092066569086144683145170283932792460440716222911271989247205306919<121>
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 576941897363832680247990659532154636533269260043447804982278645257355362380723176817840997220371791999561855565743580805836706271803510382912248634396047711 (156 digits)
Using B1=1114000, B2=1426247560, polynomial Dickson(6), sigma=3235219842
Step 1 took 14359ms
Step 2 took 6828ms
********** Factor found in step 2: 414098898368494463344506663169333769
Found probable prime factor of 36 digits: 414098898368494463344506663169333769
Probable prime cofactor 1393246636581073462780644946707410311348854022175587735092066569086144683145170283932792460440716222911271989247205306919 has 121 digits

5×10172-1

c163

name 名前Ignacio Santos
date 日付September 17, 2009 11:36:37 UTC 2009 年 9 月 17 日 (木) 20 時 36 分 37 秒 (日本時間)
composite number 合成数
1593066609570530649370271023806535039809721860723856941429268203635476830520142259302322810459745823053514922077193405530808546778438857687622783273098732367009649<163>
prime factors 素因数
23331915524945545696221472599200406173115587461<47>
68278432084467642690581024494631409446426792252293530420303471343294308319297030303253720850691295975733917647872509<116>
factorization results 素因数分解の結果
Number: 49999_172
N=1593066609570530649370271023806535039809721860723856941429268203635476830520142259302322810459745823053514922077193405530808546778438857687622783273098732367009649
  ( 163 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=23331915524945545696221472599200406173115587461 (pp47)
 r2=68278432084467642690581024494631409446426792252293530420303471343294308319297030303253720850691295975733917647872509 (pp116)
Version: Msieve-1.40
Total time: 56.01 hours.
Scaled time: 97.40 units (timescale=1.739).
Factorization parameters were as follows:
n: 1593066609570530649370271023806535039809721860723856941429268203635476830520142259302322810459745823053514922077193405530808546778438857687622783273098732367009649
m: 50000000000000000000000000000000000
deg: 5
c5: 4
c0: -25
skew: 1.44
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1013275 x 1013505
Total sieving time: 54.26 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 56.01 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Luigi MorelliFebruary 23, 2009 16:57:43 UTC 2009 年 2 月 24 日 (火) 1 時 57 分 43 秒 (日本時間)
255e4204Luigi MorelliFebruary 23, 2009 16:58:38 UTC 2009 年 2 月 24 日 (火) 1 時 58 分 38 秒 (日本時間)
3025e4403Wataru SakaiAugust 23, 2009 08:56:42 UTC 2009 年 8 月 23 日 (日) 17 時 56 分 42 秒 (日本時間)
351e60--
403e62337Wataru SakaiAugust 25, 2009 08:10:28 UTC 2009 年 8 月 25 日 (火) 17 時 10 分 28 秒 (日本時間)

5×10173-1

c137

name 名前Jo Yeong Uk
date 日付October 11, 2009 11:05:21 UTC 2009 年 10 月 11 日 (日) 20 時 5 分 21 秒 (日本時間)
composite number 合成数
39854086435296658660320043879991005179189198819489180447210923684885908343283437049105322157599299450760049515223879981997674408379558391<137>
prime factors 素因数
2847970263141744131023830845478132413777645258337832393628729170631<67>
13993856238980368759578357212092380131077296745377065063456859221722961<71>
factorization results 素因数分解の結果
Number: 49999_173
N=39854086435296658660320043879991005179189198819489180447210923684885908343283437049105322157599299450760049515223879981997674408379558391
  ( 137 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=2847970263141744131023830845478132413777645258337832393628729170631
 r2=13993856238980368759578357212092380131077296745377065063456859221722961
Version: 
Total time: 37.09 hours.
Scaled time: 88.50 units (timescale=2.386).
Factorization parameters were as follows:
n: 39854086435296658660320043879991005179189198819489180447210923684885908343283437049105322157599299450760049515223879981997674408379558391
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: -20
skew: 1.82
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 15479928
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1090838 x 1091085
Total sieving time: 32.09 hours.
Total relation processing time: 2.00 hours.
Matrix solve time: 2.87 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.4,2.4,100000
total time: 37.09 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
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
2011e374Luigi MorelliJune 10, 2009 13:15:25 UTC 2009 年 6 月 10 日 (水) 22 時 15 分 25 秒 (日本時間)
255e4204Luigi MorelliJune 10, 2009 13:18:29 UTC 2009 年 6 月 10 日 (水) 22 時 18 分 29 秒 (日本時間)
3025e4430Erik BrangerSeptember 10, 2009 17:30:53 UTC 2009 年 9 月 11 日 (金) 2 時 30 分 53 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 13, 2009 07:34:35 UTC 2009 年 9 月 13 日 (日) 16 時 34 分 35 秒 (日本時間)

5×10174-1

c141

name 名前Jo Yeong Uk
date 日付October 10, 2009 13:19:37 UTC 2009 年 10 月 10 日 (土) 22 時 19 分 37 秒 (日本時間)
composite number 合成数
635391023758808768021982182663640242957235141906592712342373275630037497448167738145615536255657952171914822743853474214435578032037202498341<141>
prime factors 素因数
28345499727878470190919484864294064341<38>
463029342608148463454164159741210468863485451451681<51>
48411489356292646627148450479697213943551789779252721<53>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 635391023758808768021982182663640242957235141906592712342373275630037497448167738145615536255657952171914822743853474214435578032037202498341 (141 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=8051102569
Step 1 took 12060ms
Step 2 took 5548ms
********** Factor found in step 2: 28345499727878470190919484864294064341
Found probable prime factor of 38 digits: 28345499727878470190919484864294064341
Composite cofactor 22415940091325560592764062171757453501035854403561664187105229615762632752555588053316070194944819274001 has 104 digits

Number: 49999_174
N=22415940091325560592764062171757453501035854403561664187105229615762632752555588053316070194944819274001
  ( 104 digits)
Divisors found:
 r1=463029342608148463454164159741210468863485451451681
 r2=48411489356292646627148450479697213943551789779252721
Version: 
Total time: 4.42 hours.
Scaled time: 10.55 units (timescale=2.386).
Factorization parameters were as follows:
name: 49999_174
n: 22415940091325560592764062171757453501035854403561664187105229615762632752555588053316070194944819274001
skew: 7223.23
# norm 5.68e+14
c5: 103320
c4: -1087558846
c3: -54783974263837
c2: 45158299175990806
c1: 473317516833711936848
c0: -566285402745446146869216
# alpha -5.98
Y1: 70717608599
Y0: -46481047104932086595
# Murphy_E 2.12e-09
# M 11389210777915482262951976616597298590964859459226496768929040960719519334499979514459734483204362702854
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5061933
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241571 x 241818
Polynomial selection time: 0.29 hours.
Total sieving time: 3.46 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 4.42 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GMP-ECM v6.2.3 / 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
2011e374Luigi MorelliFebruary 23, 2009 16:59:39 UTC 2009 年 2 月 24 日 (火) 1 時 59 分 39 秒 (日本時間)
255e4204Luigi MorelliJune 10, 2009 13:11:42 UTC 2009 年 6 月 10 日 (水) 22 時 11 分 42 秒 (日本時間)
3025e4450Lionel DebrouxSeptember 24, 2009 20:08:13 UTC 2009 年 9 月 25 日 (金) 5 時 8 分 13 秒 (日本時間)
351e61000Lionel DebrouxSeptember 25, 2009 08:43:00 UTC 2009 年 9 月 25 日 (金) 17 時 43 分 0 秒 (日本時間)

5×10176-1

c165

name 名前matsui
date 日付May 30, 2008 09:17:11 UTC 2008 年 5 月 30 日 (金) 18 時 17 分 11 秒 (日本時間)
composite number 合成数
212741561156104821848315308047573885814443504412799746904803957756367500051206620397368345024193419561880193183093279952257728632311539958871940330087867729139350029<165>
prime factors 素因数
1685407140856189648612097538079896782968048556689<49>
126225619910469676004414039354831078351797442441561563713439568704176968850333129983096588258532811794520832130928061<117>
factorization results 素因数分解の結果
N=212741561156104821848315308047573885814443504412799746904803957756367500051206620397368345024193419561880193183093279952257728632311539958871940330087867729139350029
  ( 165 digits)

SNFS difficulty: 176 digits.

Divisors found:

 r1=1685407140856189648612097538079896782968048556689 (pp49)

 r2=126225619910469676004414039354831078351797442441561563713439568704176968850333129983096588258532811794520832130928061 (pp117)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 224.48 hours.

Scaled time: 191.48 units (timescale=0.853).

Factorization parameters were as follows:

n: 212741561156104821848315308047573885814443504412799746904803957756367500051206620397368345024193419561880193183093279952257728632311539958871940330087867729139350029
m: 100000000000000000000000000000000000
c5: 50
c0: -1
skew: 0.46
type: snfs

Factor base limits: 7400000/7400000
Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 11500001)

Primes: RFBsize:501962, AFBsize:501581, largePrimes:6465156 encountered

Relations: rels:6924137, finalFF:1134653

Max relations in full relation-set: 28

Initial matrix: 1003608 x 1134653 with sparse part having weight 71856558.

Pruned matrix : 891266 x 896348 with weight 54923948.

Total sieving time: 201.76 hours.

Total relation processing time: 0.44 hours.

Matrix solve time: 21.99 hours.

Time per square root: 0.29 hours.

Prototype def-par.txt line would be:

snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 224.48 hours.

5×10177-1

c151

name 名前Jo Yeong Uk
date 日付December 20, 2009 13:18:06 UTC 2009 年 12 月 20 日 (日) 22 時 18 分 6 秒 (日本時間)
composite number 合成数
4036742139064271940352924607719840667525658401516025842099488707237906836850173332467826613777240396308955876191838587875549878107435969243156241150303<151>
prime factors 素因数
4068269709359954401976297716690750943446114169<46>
992250373611379227883163588164400121551512275167316952271377534693843762018044616947203837967745867950487<105>
factorization results 素因数分解の結果
Number: 49999_177
N=4036742139064271940352924607719840667525658401516025842099488707237906836850173332467826613777240396308955876191838587875549878107435969243156241150303
  ( 151 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=4068269709359954401976297716690750943446114169
 r2=992250373611379227883163588164400121551512275167316952271377534693843762018044616947203837967745867950487
Version: 
Total time: 58.68 hours.
Scaled time: 140.12 units (timescale=2.388).
Factorization parameters were as follows:
n: 4036742139064271940352924607719840667525658401516025842099488707237906836850173332467826613777240396308955876191838587875549878107435969243156241150303
m: 500000000000000000000000000000000000
deg: 5
c5: 4
c0: -25
skew: 1.44
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4200000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18197177
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1358940 x 1359188
Total sieving time: 50.53 hours.
Total relation processing time: 3.44 hours.
Matrix solve time: 4.54 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 58.68 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
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
2011e374Luigi MorelliJune 10, 2009 13:19:47 UTC 2009 年 6 月 10 日 (水) 22 時 19 分 47 秒 (日本時間)
255e4204Jo Yeong UkOctober 9, 2009 13:53:18 UTC 2009 年 10 月 9 日 (金) 22 時 53 分 18 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:18:40 UTC 2009 年 10 月 13 日 (火) 11 時 18 分 40 秒 (日本時間)

5×10179-1

c153

name 名前Jo Yeong Uk
date 日付October 10, 2009 09:04:45 UTC 2009 年 10 月 10 日 (土) 18 時 4 分 45 秒 (日本時間)
composite number 合成数
483465413967370598400238048693329074423316487627052497512382988498499804040391586617159120691337958260268162836645299451358426769745806731188812854756737<153>
prime factors 素因数
551421612914557051308292624692847<33>
876761814633993523106354211564896283956156882713530327635666576447814027168039294731780218758528595761801494512642521871<120>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 483465413967370598400238048693329074423316487627052497512382988498499804040391586617159120691337958260268162836645299451358426769745806731188812854756737 (153 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=4222987752
Step 1 took 1170ms
Step 2 took 1061ms
********** Factor found in step 2: 551421612914557051308292624692847
Found probable prime factor of 33 digits: 551421612914557051308292624692847
Probable prime cofactor 876761814633993523106354211564896283956156882713530327635666576447814027168039294731780218758528595761801494512642521871 has 120 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Luigi MorelliJune 10, 2009 13:20:38 UTC 2009 年 6 月 10 日 (水) 22 時 20 分 38 秒 (日本時間)
255e4204Luigi MorelliJune 10, 2009 13:21:51 UTC 2009 年 6 月 10 日 (水) 22 時 21 分 51 秒 (日本時間)

5×10180-1

c136

name 名前Jo Yeong Uk
date 日付October 13, 2009 11:35:40 UTC 2009 年 10 月 13 日 (火) 20 時 35 分 40 秒 (日本時間)
composite number 合成数
1268043725350051353132819056594165736383974526766996545360477852847986781906687610303669898118623904197788874590155678924925008343938821<136>
prime factors 素因数
1166301555538974517603112159803243199069<40>
455836425176168552226557086859741685930538511<45>
2385142595979479983692619755161942793993731666526119<52>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 1268043725350051353132819056594165736383974526766996545360477852847986781906687610303669898118623904197788874590155678924925008343938821 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2748895193
Step 1 took 4322ms
Step 2 took 2401ms
********** Factor found in step 2: 1166301555538974517603112159803243199069
Found probable prime factor of 40 digits: 1166301555538974517603112159803243199069
Composite cofactor 1087234874486692647113099056807700552174954940627876797305797217283126817336364453873278316868809 has 97 digits

Number: 49999_180
N=1087234874486692647113099056807700552174954940627876797305797217283126817336364453873278316868809
  ( 97 digits)
Divisors found:
 r1=455836425176168552226557086859741685930538511
 r2=2385142595979479983692619755161942793993731666526119
Version: 
Total time: 1.87 hours.
Scaled time: 4.47 units (timescale=2.387).
Factorization parameters were as follows:
name: 49999_180
n: 1087234874486692647113099056807700552174954940627876797305797217283126817336364453873278316868809
skew: 8632.98
# norm 2.89e+13
c5: 10920
c4: 318464128
c3: -1505481553212
c2: -20180759028973709
c1: 58577666676270824122
c0: -57414147493511642220285
# alpha -5.91
Y1: 11822671531
Y0: -2509621434827683634
# Murphy_E 5.11e-09
# M 156070940597455959127173067169783594525935570814263899470527292638724944750891421285089957590333
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4117386
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143255 x 143503
Polynomial selection time: 0.11 hours.
Total sieving time: 1.52 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
software ソフトウェア
GMP-ECM v6.2.3 / GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkOctober 9, 2009 13:53:34 UTC 2009 年 10 月 9 日 (金) 22 時 53 分 34 秒 (日本時間)
255e4204Jo Yeong UkOctober 9, 2009 13:53:39 UTC 2009 年 10 月 9 日 (金) 22 時 53 分 39 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:18:49 UTC 2009 年 10 月 13 日 (火) 11 時 18 分 49 秒 (日本時間)

5×10181-1

c151

name 名前Jo Yeong Uk
date 日付October 9, 2009 13:19:32 UTC 2009 年 10 月 9 日 (金) 22 時 19 分 32 秒 (日本時間)
composite number 合成数
3598606979757417997917427995706501314058534392261408149235484668120477312161588275805313695459204431109019053455906018698429200104947933380953449978919<151>
prime factors 素因数
173579002511793813594159069431<30>
composite cofactor 合成数の残り
20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849<122>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 3598606979757417997917427995706501314058534392261408149235484668120477312161588275805313695459204431109019053455906018698429200104947933380953449978919 (151 digits)
Using B1=50000, B2=12746592, polynomial x^2, sigma=1211348993
Step 1 took 218ms
Step 2 took 297ms
********** Factor found in step 2: 173579002511793813594159069431
Found probable prime factor of 30 digits: 173579002511793813594159069431
Composite cofactor 20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849 has 122 digits
execution environment 実行環境
Core 2 Quad Q6600

c122

name 名前Sinkiti Sibata
date 日付October 17, 2009 02:32:08 UTC 2009 年 10 月 17 日 (土) 11 時 32 分 8 秒 (日本時間)
composite number 合成数
20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849<122>
prime factors 素因数
1064331088086742281466450399965259429540937717843448019984241<61>
19478723013143054838808802263731536889575609008494945550219489<62>
factorization results 素因数分解の結果
Number: 49999_181
N=20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849
  ( 122 digits)
Divisors found:
 r1=1064331088086742281466450399965259429540937717843448019984241 (pp61)
 r2=19478723013143054838808802263731536889575609008494945550219489 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 140.90 hours.
Scaled time: 66.50 units (timescale=0.472).
Factorization parameters were as follows:
name: 49999_181
n: 20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849
skew: 101517.10
# norm 3.04e+17
c5: 29580
c4: 2156779898
c3: -6149966082058983
c2: 23385979761564979461
c1: 1440918581264063038291103
c0: -22754533970254442683757639139
# alpha -6.80
Y1: 1261519391909
Y0: -233952547110868141002320
# Murphy_E 2.33e-10
# M 2835204791081285862371599358752498154223875050445617820813767572498702847699896488863776551489942795073240664812599984655
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5320001)
Primes: RFBsize:348513, AFBsize:348097, largePrimes:7741397 encountered
Relations: rels:7907865, finalFF:796206
Max relations in full relation-set: 28
Initial matrix: 696692 x 796206 with sparse part having weight 72088621.
Pruned matrix : 615148 x 618695 with weight 51491407.
Total sieving time: 118.03 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 21.10 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 140.90 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4  2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Luigi MorelliFebruary 23, 2009 17:01:20 UTC 2009 年 2 月 24 日 (火) 2 時 1 分 20 秒 (日本時間)
255e4250Lionel DebrouxOctober 9, 2009 19:37:37 UTC 2009 年 10 月 10 日 (土) 4 時 37 分 37 秒 (日本時間)
3025e4450Lionel DebrouxOctober 9, 2009 19:37:44 UTC 2009 年 10 月 10 日 (土) 4 時 37 分 44 秒 (日本時間)

5×10182-1

c172

name 名前Jo Yeong Uk
date 日付December 31, 2009 11:16:22 UTC 2009 年 12 月 31 日 (木) 20 時 16 分 22 秒 (日本時間)
composite number 合成数
1243640894623190934438746047046099580565995925626298223424494127666596597171977152517694955566312383421074711557064611814787482955822661265426767631968647765171349477128441<172>
prime factors 素因数
7177564523816592869440879538846475176869730760304849<52>
173267811176972637202721174591604786380093280093612986568064406694146885800020811068408853083028936835099405426401335209<120>
factorization results 素因数分解の結果
Number: 49999_182
N=1243640894623190934438746047046099580565995925626298223424494127666596597171977152517694955566312383421074711557064611814787482955822661265426767631968647765171349477128441
  ( 172 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=7177564523816592869440879538846475176869730760304849
 r2=173267811176972637202721174591604786380093280093612986568064406694146885800020811068408853083028936835099405426401335209
Version: 
Total time: 92.44 hours.
Scaled time: 220.02 units (timescale=2.380).
Factorization parameters were as follows:
n: 1243640894623190934438746047046099580565995925626298223424494127666596597171977152517694955566312383421074711557064611814787482955822661265426767631968647765171349477128441
m: 5000000000000000000000000000000000000
deg: 5
c5: 4
c0: -25
skew: 1.44
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18378557
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1290498 x 1290746
Total sieving time: 86.12 hours.
Total relation processing time: 2.40 hours.
Matrix solve time: 3.77 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 92.44 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
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
2011e374Luigi MorelliFebruary 23, 2009 17:04:34 UTC 2009 年 2 月 24 日 (火) 2 時 4 分 34 秒 (日本時間)
255e4204Luigi MorelliFebruary 23, 2009 17:05:00 UTC 2009 年 2 月 24 日 (火) 2 時 5 分 0 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:19:26 UTC 2009 年 10 月 13 日 (火) 11 時 19 分 26 秒 (日本時間)
351e6828Jo Yeong UkDecember 22, 2009 00:54:51 UTC 2009 年 12 月 22 日 (火) 9 時 54 分 51 秒 (日本時間)

5×10183-1

c179

name 名前Wataru Sakai
date 日付June 9, 2009 12:56:31 UTC 2009 年 6 月 9 日 (火) 21 時 56 分 31 秒 (日本時間)
composite number 合成数
18687467063339300864482226350076057990947790954518442661244809556023157509184890061631266374893014251062382502550839254145814568001823896785381915764373465291767423259916504397161<179>
prime factors 素因数
945200151001218657635011445058228730913844677283075507271374283027271720740913<78>
19770909942771694388069711525503787363511760112454424254375327438641837630246346547998813862502042297<101>
factorization results 素因数分解の結果
Number: 49999_183
N=18687467063339300864482226350076057990947790954518442661244809556023157509184890061631266374893014251062382502550839254145814568001823896785381915764373465291767423259916504397161
  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=945200151001218657635011445058228730913844677283075507271374283027271720740913
 r2=19770909942771694388069711525503787363511760112454424254375327438641837630246346547998813862502042297
Version: 
Total time: 197.96 hours.
Scaled time: 379.48 units (timescale=1.917).
Factorization parameters were as follows:
n: 18687467063339300864482226350076057990947790954518442661244809556023157509184890061631266374893014251062382502550839254145814568001823896785381915764373465291767423259916504397161
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: -5
skew: 0.91
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1592809 x 1593055
Total sieving time: 197.96 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,184,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 197.96 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
3025e450Makoto KamadaFebruary 5, 2009 05:37:20 UTC 2009 年 2 月 5 日 (木) 14 時 37 分 20 秒 (日本時間)
351e6105 / 895Max DettweilerMarch 8, 2009 03:47:39 UTC 2009 年 3 月 8 日 (日) 12 時 47 分 39 秒 (日本時間)

5×10185-1

c165

name 名前Jo Yeong Uk
date 日付December 9, 2009 15:03:18 UTC 2009 年 12 月 10 日 (木) 0 時 3 分 18 秒 (日本時間)
composite number 合成数
349662872872685415260187866710169543054711722129687259296757512768829622544293685012492705071389202665843507861957179339289258414384928449524545789244775692467713383<165>
prime factors 素因数
13467097731105253924325838530156698063<38>
25964233709024130179916331896236768142386809082711053887820914535009226635473159313679197722834392092837158149045577065290385641<128>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 349662872872685415260187866710169543054711722129687259296757512768829622544293685012492705071389202665843507861957179339289258414384928449524545789244775692467713383 (165 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=575025177
Step 1 took 5506ms
Step 2 took 5102ms
********** Factor found in step 2: 13467097731105253924325838530156698063
Found probable prime factor of 38 digits: 13467097731105253924325838530156698063
Probable prime cofactor 25964233709024130179916331896236768142386809082711053887820914535009226635473159313679197722834392092837158149045577065290385641 has 128 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Luigi MorelliJune 10, 2009 13:24:22 UTC 2009 年 6 月 10 日 (水) 22 時 24 分 22 秒 (日本時間)
255e4204Luigi MorelliJune 10, 2009 13:25:46 UTC 2009 年 6 月 10 日 (水) 22 時 25 分 46 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:19:36 UTC 2009 年 10 月 13 日 (火) 11 時 19 分 36 秒 (日本時間)

5×10186-1

c153

name 名前Jo Yeong Uk
date 日付January 5, 2010 01:10:30 UTC 2010 年 1 月 5 日 (火) 10 時 10 分 30 秒 (日本時間)
composite number 合成数
330782102119348939530388193055862880155585841714351736296136827358915730015531455951164152703636844000379759686471516708488800253691462627773086879742951<153>
prime factors 素因数
149270640821931973883035346612051055146889903083133923624440501<63>
2215989027031415584734612311830420673337291212196945273240676509436087130063218466088577451<91>
factorization results 素因数分解の結果
Number: 49999_186
N=330782102119348939530388193055862880155585841714351736296136827358915730015531455951164152703636844000379759686471516708488800253691462627773086879742951
  ( 153 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=149270640821931973883035346612051055146889903083133923624440501
 r2=2215989027031415584734612311830420673337291212196945273240676509436087130063218466088577451
Version: 
Total time: 108.57 hours.
Scaled time: 258.93 units (timescale=2.385).
Factorization parameters were as follows:
n: 330782102119348939530388193055862880155585841714351736296136827358915730015531455951164152703636844000379759686471516708488800253691462627773086879742951
m: 10000000000000000000000000000000000000
deg: 5
c5: 50
c0: -1
skew: 0.46
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20300507
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1506774 x 1507021
Total sieving time: 99.26 hours.
Total relation processing time: 3.07 hours.
Matrix solve time: 5.72 hours.
Time per square root: 0.51 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 108.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
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
2011e374Luigi MorelliJune 10, 2009 13:28:23 UTC 2009 年 6 月 10 日 (水) 22 時 28 分 23 秒 (日本時間)
255e4204Luigi MorelliJune 10, 2009 13:31:39 UTC 2009 年 6 月 10 日 (水) 22 時 31 分 39 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:19:45 UTC 2009 年 10 月 13 日 (火) 11 時 19 分 45 秒 (日本時間)
351e6828Jo Yeong UkDecember 21, 2009 01:30:10 UTC 2009 年 12 月 21 日 (月) 10 時 30 分 10 秒 (日本時間)

5×10187-1

c166

name 名前Jo Yeong Uk
date 日付January 8, 2010 22:45:23 UTC 2010 年 1 月 9 日 (土) 7 時 45 分 23 秒 (日本時間)
composite number 合成数
8614458264814342456015977257300592684235797658096258921996737600409387636961741878590975741790562058991753748125625895637125986138565131183531967010047496488728669767<166>
prime factors 素因数
111277774907745473529586539271137126937277242947428985065596817713<66>
77414005374893008635864387538323623490032732987347761112605716671322732461197155133915811344002291959<101>
factorization results 素因数分解の結果
Number: 49999_187
N=8614458264814342456015977257300592684235797658096258921996737600409387636961741878590975741790562058991753748125625895637125986138565131183531967010047496488728669767
  ( 166 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=111277774907745473529586539271137126937277242947428985065596817713
 r2=77414005374893008635864387538323623490032732987347761112605716671322732461197155133915811344002291959
Version: 
Total time: 129.49 hours.
Scaled time: 309.88 units (timescale=2.393).
Factorization parameters were as follows:
n: 8614458264814342456015977257300592684235797658096258921996737600409387636961741878590975741790562058991753748125625895637125986138565131183531967010047496488728669767
m: 50000000000000000000000000000000000000
deg: 5
c5: 4
c0: -25
skew: 1.44
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20519231
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1635139 x 1635387
Total sieving time: 118.96 hours.
Total relation processing time: 3.70 hours.
Matrix solve time: 6.33 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 129.49 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkOctober 9, 2009 13:54:05 UTC 2009 年 10 月 9 日 (金) 22 時 54 分 5 秒 (日本時間)
255e4204Jo Yeong UkOctober 9, 2009 13:54:10 UTC 2009 年 10 月 9 日 (金) 22 時 54 分 10 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:20:04 UTC 2009 年 10 月 13 日 (火) 11 時 20 分 4 秒 (日本時間)
351e6828Jo Yeong UkDecember 22, 2009 00:55:02 UTC 2009 年 12 月 22 日 (火) 9 時 55 分 2 秒 (日本時間)

5×10189-1

c153

name 名前Jo Yeong Uk
date 日付January 14, 2010 09:52:54 UTC 2010 年 1 月 14 日 (木) 18 時 52 分 54 秒 (日本時間)
composite number 合成数
100721158932718319776298575351669233160027191722094687112234543178151184210485955752350121811066717644477925628133992741175240284519318820871028134069559<153>
prime factors 素因数
362114869786328767678706254340330776690101808781230007<54>
278146984110733504640917712329377431369886449408844968830703171101286957984960895130897298993079937<99>
factorization results 素因数分解の結果
Number: 49999_189
N=100721158932718319776298575351669233160027191722094687112234543178151184210485955752350121811066717644477925628133992741175240284519318820871028134069559
  ( 153 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=362114869786328767678706254340330776690101808781230007
 r2=278146984110733504640917712329377431369886449408844968830703171101286957984960895130897298993079937
Version: 
Total time: 133.54 hours.
Scaled time: 318.75 units (timescale=2.387).
Factorization parameters were as follows:
n: 100721158932718319776298575351669233160027191722094687112234543178151184210485955752350121811066717644477925628133992741175240284519318820871028134069559
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: -2
skew: 1.15
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20761832
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1667187 x 1667435
Total sieving time: 122.96 hours.
Total relation processing time: 3.81 hours.
Matrix solve time: 6.59 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 133.54 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Jo Yeong UkOctober 9, 2009 14:22:13 UTC 2009 年 10 月 9 日 (金) 23 時 22 分 13 秒 (日本時間)
255e4204Jo Yeong UkOctober 9, 2009 14:22:18 UTC 2009 年 10 月 9 日 (金) 23 時 22 分 18 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:20:16 UTC 2009 年 10 月 13 日 (火) 11 時 20 分 16 秒 (日本時間)
351e6828Jo Yeong UkDecember 21, 2009 01:30:26 UTC 2009 年 12 月 21 日 (月) 10 時 30 分 26 秒 (日本時間)

5×10190-1

c191

name 名前Jo Yeong Uk
date 日付May 12, 2007 12:46:00 UTC 2007 年 5 月 12 日 (土) 21 時 46 分 0 秒 (日本時間)
composite number 合成数
49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<191>
prime factors 素因数
99540974625765465275232034702200919<35>
502305710668196126484659145583463988849571937897513433848127456075026044866256022945692253079700553166877184985681787449184093822883155280824677517509895321<156>
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 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (191 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3894616504
Step 1 took 29905ms
Step 2 took 12708ms
********** Factor found in step 2: 99540974625765465275232034702200919
Found probable prime factor of 35 digits: 99540974625765465275232034702200919
Probable prime cofactor 502305710668196126484659145583463988849571937897513433848127456075026044866256022945692253079700553166877184985681787449184093822883155280824677517509895321 has 156 digits
execution environment 実行環境
Core 2 Quad Q6600

5×10191-1

c173

name 名前Jo Yeong Uk
date 日付January 23, 2010 04:35:29 UTC 2010 年 1 月 23 日 (土) 13 時 35 分 29 秒 (日本時間)
composite number 合成数
12211834316200815636021118783914255162565209493020365130222361754575910252737548793500886622247522505104519581662331443639494381467615771141848827141290725194325351887328687<173>
prime factors 素因数
106144520413782227988033709274285099503713060989987541951119<60>
115049126121589055199022162558728951136501798027571833624874769803489031614030807294626008542866906186262107663073<114>
factorization results 素因数分解の結果
Number: 49999_191
N=12211834316200815636021118783914255162565209493020365130222361754575910252737548793500886622247522505104519581662331443639494381467615771141848827141290725194325351887328687
  ( 173 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=106144520413782227988033709274285099503713060989987541951119
 r2=115049126121589055199022162558728951136501798027571833624874769803489031614030807294626008542866906186262107663073
Version: 
Total time: 160.37 hours.
Scaled time: 383.13 units (timescale=2.389).
Factorization parameters were as follows:
n: 12211834316200815636021118783914255162565209493020365130222361754575910252737548793500886622247522505104519581662331443639494381467615771141848827141290725194325351887328687
m: 100000000000000000000000000000000000000
deg: 5
c5: 50
c0: -1
skew: 0.46
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 9500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20893650
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1889659 x 1889907
Total sieving time: 145.47 hours.
Total relation processing time: 4.44 hours.
Matrix solve time: 9.60 hours.
Time per square root: 0.86 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 160.37 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: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)
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
2011e374Luigi MorelliFebruary 23, 2009 17:07:37 UTC 2009 年 2 月 24 日 (火) 2 時 7 分 37 秒 (日本時間)
255e4204Luigi MorelliFebruary 23, 2009 17:07:45 UTC 2009 年 2 月 24 日 (火) 2 時 7 分 45 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:20:30 UTC 2009 年 10 月 13 日 (火) 11 時 20 分 30 秒 (日本時間)
351e6828Jo Yeong UkDecember 22, 2009 00:55:19 UTC 2009 年 12 月 22 日 (火) 9 時 55 分 19 秒 (日本時間)
403e62111Jo Yeong UkJanuary 15, 2010 15:58:05 UTC 2010 年 1 月 16 日 (土) 0 時 58 分 5 秒 (日本時間)
4511e6782 / 3974Dmitry DomanovJanuary 16, 2010 00:39:19 UTC 2010 年 1 月 16 日 (土) 9 時 39 分 19 秒 (日本時間)

5×10193-1

c189

name 名前Serge Batalov
date 日付February 17, 2009 11:09:34 UTC 2009 年 2 月 17 日 (火) 20 時 9 分 34 秒 (日本時間)
composite number 合成数
808106928708806749309068575953970229340746367559355453913661855736751086903819113345077820697234658089958463303864367333085513875195965930211885636707449129668837780615130994133143697574063<189>
prime factors 素因数
107516249752971035684650211176390698878497<42>
composite cofactor 合成数の残り
7516137612365669741489365283749544184373803307710159983061153726053943367711447968803833931459424804091388388814143702729443123989730707737970742479<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3184635571
Step 1 took 16335ms
Step 2 took 17245ms
********** Factor found in step 2: 107516249752971035684650211176390698878497
Found probable prime factor of 42 digits: 107516249752971035684650211176390698878497
Composite cofactor has 148 digits
software ソフトウェア
GMP-ECM 6.2.1

c148

name 名前Jo Yeong Uk
date 日付January 29, 2010 06:35:42 UTC 2010 年 1 月 29 日 (金) 15 時 35 分 42 秒 (日本時間)
composite number 合成数
7516137612365669741489365283749544184373803307710159983061153726053943367711447968803833931459424804091388388814143702729443123989730707737970742479<148>
prime factors 素因数
24173803155985955692016681563323357514896673933228266043927201<62>
310920775016922058394050530166095476535227621922355453952479835190354825775506258573679<87>
factorization results 素因数分解の結果
Number: 49999_193
N=7516137612365669741489365283749544184373803307710159983061153726053943367711447968803833931459424804091388388814143702729443123989730707737970742479
  ( 148 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=24173803155985955692016681563323357514896673933228266043927201
 r2=310920775016922058394050530166095476535227621922355453952479835190354825775506258573679
Version: 
Total time: 198.25 hours.
Scaled time: 473.81 units (timescale=2.390).
Factorization parameters were as follows:
n: 7516137612365669741489365283749544184373803307710159983061153726053943367711447968803833931459424804091388388814143702729443123989730707737970742479
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -20
skew: 1.82
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 10800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22463333
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2134262 x 2134509
Total sieving time: 179.19 hours.
Total relation processing time: 5.84 hours.
Matrix solve time: 12.40 hours.
Time per square root: 0.81 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 198.25 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: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)
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
3025e443050Makoto KamadaFebruary 4, 2009 05:27:20 UTC 2009 年 2 月 4 日 (水) 14 時 27 分 20 秒 (日本時間)
380Jo Yeong UkOctober 13, 2009 02:20:40 UTC 2009 年 10 月 13 日 (火) 11 時 20 分 40 秒 (日本時間)
351e6825Jo Yeong UkDecember 21, 2009 01:30:48 UTC 2009 年 12 月 21 日 (月) 10 時 30 分 48 秒 (日本時間)
403e62111Jo Yeong UkJanuary 18, 2010 00:06:02 UTC 2010 年 1 月 18 日 (月) 9 時 6 分 2 秒 (日本時間)

5×10194-1

c195

name 名前Sinkiti Sibata
date 日付September 19, 2007 15:45:51 UTC 2007 年 9 月 20 日 (木) 0 時 45 分 51 秒 (日本時間)
composite number 合成数
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<195>
prime factors 素因数
2063673432680440504344308255721789938709506185655504408686729651476059482949<76>
242286396714700023343462981244314581366417767442682354276028410445885393174798778445278457127741012032445076995991310451<120>
factorization results 素因数分解の結果
Number: 49999_194
N=499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 195 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=2063673432680440504344308255721789938709506185655504408686729651476059482949 (pp76)
 r2=242286396714700023343462981244314581366417767442682354276028410445885393174798778445278457127741012032445076995991310451 (pp120)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2170.77 hours.
Scaled time: 4335.02 units (timescale=1.997).
Factorization parameters were as follows:
name: 49999_194
n: 499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 1000000000000000000000000000000000000000
c5: 1
c0: -2
skew: 1.15
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 30600001)
Primes: RFBsize:501962, AFBsize:501936, largePrimes:7672066 encountered
Relations: rels:8446002, finalFF:1128792
Max relations in full relation-set: 28
Initial matrix: 1003962 x 1128792 with sparse part having weight 155448349.
Pruned matrix : 921781 x 926864 with weight 139585169.
Total sieving time: 2144.49 hours.
Total relation processing time: 1.59 hours.
Matrix solve time: 24.21 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 2170.77 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2Duo E6300 1.86GHz, Windows Vista)

5×10197-1

c191

name 名前Jo Yeong Uk
date 日付January 24, 2010 07:36:39 UTC 2010 年 1 月 24 日 (日) 16 時 36 分 39 秒 (日本時間)
composite number 合成数
76605235906590026703053132319151508150260863809832711017931906831486406630704083319531623330829363522333260660499536614928001036928473231602601452527199072034814321931052529895576338726290871<191>
prime factors 素因数
317598963369528079750990794635037797243393<42>
241201152213646957316475021456496581554806604208884919421444257764720088176608878043853450754138121069950925545626957019712893914235709811564144209847<150>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 76605235906590026703053132319151508150260863809832711017931906831486406630704083319531623330829363522333260660499536614928001036928473231602601452527199072034814321931052529895576338726290871 (191 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5407462151
Step 1 took 63534ms
Step 2 took 23393ms
********** Factor found in step 2: 317598963369528079750990794635037797243393
Found probable prime factor of 42 digits: 317598963369528079750990794635037797243393
Probable prime cofactor 241201152213646957316475021456496581554806604208884919421444257764720088176608878043853450754138121069950925545626957019712893914235709811564144209847 has 150 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
2011e374Luigi MorelliFebruary 23, 2009 17:08:44 UTC 2009 年 2 月 24 日 (火) 2 時 8 分 44 秒 (日本時間)
255e4204Luigi MorelliFebruary 23, 2009 17:14:43 UTC 2009 年 2 月 24 日 (火) 2 時 14 分 43 秒 (日本時間)
3025e4403203Luigi MorelliFebruary 23, 2009 17:38:25 UTC 2009 年 2 月 24 日 (火) 2 時 38 分 25 秒 (日本時間)
200Luigi MorelliJune 10, 2009 13:30:41 UTC 2009 年 6 月 10 日 (水) 22 時 30 分 41 秒 (日本時間)
351e612828Luigi MorelliJune 10, 2009 14:17:14 UTC 2009 年 6 月 10 日 (水) 23 時 17 分 14 秒 (日本時間)
14Luigi MorelliJune 10, 2009 14:42:25 UTC 2009 年 6 月 10 日 (水) 23 時 42 分 25 秒 (日本時間)
86Luigi MorelliJune 10, 2009 14:53:26 UTC 2009 年 6 月 10 日 (水) 23 時 53 分 26 秒 (日本時間)
403e62302Wataru SakaiDecember 17, 2009 08:49:34 UTC 2009 年 12 月 17 日 (木) 17 時 49 分 34 秒 (日本時間)
4511e60 / 2631--
5043e6380 / 7466yoyo@homeJanuary 29, 2010 10:00:06 UTC 2010 年 1 月 29 日 (金) 19 時 0 分 6 秒 (日本時間)

5×10198-1

c168

name 名前Jo Yeong Uk
date 日付January 19, 2010 03:28:10 UTC 2010 年 1 月 19 日 (火) 12 時 28 分 10 秒 (日本時間)
composite number 合成数
251597423876843011518973530895077182565833799044399744610930536140919317753115715616833974176319266970113622179606125065313919783575938444925062792463055673711314473521<168>
prime factors 素因数
3669695664592673615978065665298668275956953672441671<52>
68560841789797206872933304052381552430659655586189485404223202781305551694444522299196431882818449926154085718257351<116>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 251597423876843011518973530895077182565833799044399744610930536140919317753115715616833974176319266970113622179606125065313919783575938444925062792463055673711314473521 (168 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3155546428
Step 1 took 53549ms
Step 2 took 20854ms
********** Factor found in step 2: 3669695664592673615978065665298668275956953672441671
Found probable prime factor of 52 digits: 3669695664592673615978065665298668275956953672441671
Probable prime cofactor 68560841789797206872933304052381552430659655586189485404223202781305551694444522299196431882818449926154085718257351 has 116 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
2011e374Luigi MorelliFebruary 23, 2009 17:09:51 UTC 2009 年 2 月 24 日 (火) 2 時 9 分 51 秒 (日本時間)
255e4204Luigi MorelliJune 10, 2009 13:42:45 UTC 2009 年 6 月 10 日 (水) 22 時 42 分 45 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:21:02 UTC 2009 年 10 月 13 日 (火) 11 時 21 分 2 秒 (日本時間)
351e6828Jo Yeong UkDecember 22, 2009 00:55:41 UTC 2009 年 12 月 22 日 (火) 9 時 55 分 41 秒 (日本時間)
403e60--
4511e6710 / 4441Dmitry DomanovJanuary 16, 2010 00:38:53 UTC 2010 年 1 月 16 日 (土) 9 時 38 分 53 秒 (日本時間)

5×10199-1

c178

name 名前Jo Yeong Uk
date 日付December 22, 2009 10:05:10 UTC 2009 年 12 月 22 日 (火) 19 時 5 分 10 秒 (日本時間)
composite number 合成数
9557908220897645269387286854345517770093707575325287236420262235191730767688983930835321863692114212272671692252102550740452830644042128960613717269023912901214844723199991756241<178>
prime factors 素因数
4139828065935440294061146400286899184110194422807<49>
composite cofactor 合成数の残り
2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263<130>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 9557908220897645269387286854345517770093707575325287236420262235191730767688983930835321863692114212272671692252102550740452830644042128960613717269023912901214844723199991756241 (178 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=6195808489
Step 1 took 17127ms
Step 2 took 6986ms
********** Factor found in step 2: 4139828065935440294061146400286899184110194422807
Found probable prime factor of 49 digits: 4139828065935440294061146400286899184110194422807
Composite cofactor 2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263 has 130 digits
execution environment 実行環境
Core 2 Quad Q6700

c130

name 名前Jo Yeong Uk
date 日付December 27, 2009 22:10:52 UTC 2009 年 12 月 28 日 (月) 7 時 10 分 52 秒 (日本時間)
composite number 合成数
2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263<130>
prime factors 素因数
2394322967500650161225019678510910790744709336941257<52>
964268145009238051063451368642139776954588774704684668839609708242943445219359<78>
factorization results 素因数分解の結果
Number: 49999_199
N=2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263
  ( 130 digits)
Divisors found:
 r1=2394322967500650161225019678510910790744709336941257
 r2=964268145009238051063451368642139776954588774704684668839609708242943445219359
Version: 
Total time: 104.78 hours.
Scaled time: 249.79 units (timescale=2.384).
Factorization parameters were as follows:
name: 49999_199
n: 2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263
skew: 152669.11
# norm 4.55e+17
c5: 241740
c4: 516028194
c3: -10951051533976243
c2: 531697723022289609104
c1: 106400814564268671517921676
c0: -2378723275987010445606422699808
# alpha -6.35
Y1: 10236850775569
Y0: -6251819149774585255428641
# Murphy_E 8.79e-11
# M 1581417129965114650115458418529410072116099655029303650663412358187923994201382911950369602181568575305986924433796309438681293988
type: gnfs
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [4200000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18362516
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1268987 x 1269235
Polynomial selection time: 10.46 hours.
Total sieving time: 86.50 hours.
Total relation processing time: 2.24 hours.
Matrix solve time: 4.82 hours.
Time per square root: 0.77 hours.
Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,54,54,2.6,2.6,100000
total time: 104.78 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)
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
2011e374Luigi MorelliFebruary 23, 2009 17:11:01 UTC 2009 年 2 月 24 日 (火) 2 時 11 分 1 秒 (日本時間)
255e4204Luigi MorelliJune 10, 2009 13:56:37 UTC 2009 年 6 月 10 日 (水) 22 時 56 分 37 秒 (日本時間)
3025e4403Jo Yeong UkOctober 13, 2009 02:21:15 UTC 2009 年 10 月 13 日 (火) 11 時 21 分 15 秒 (日本時間)
351e6828Jo Yeong UkDecember 22, 2009 00:55:51 UTC 2009 年 12 月 22 日 (火) 9 時 55 分 51 秒 (日本時間)

5×10201-1

c173

name 名前Dmitry Domanov
date 日付March 14, 2010 10:12:42 UTC 2010 年 3 月 14 日 (日) 19 時 12 分 42 秒 (日本時間)
composite number 合成数
97716781388405870122609548343767338522281951520898788694863435248410301155191521274247870026818984524541464417136314503419565351834319065867390675751839129558891516345676089<173>
prime factors 素因数
176867586029104464937617854753<30>
composite cofactor 合成数の残り
552485526501877367670944061074037598658838575099799387466600086129232312748076812023537737324150557920638878182831650796712172959525387397113113<144>
factorization results 素因数分解の結果
Factor=176867586029104464937617854753  Method=ECM  B1=11000000  Sigma=4184393397
software ソフトウェア
ECMNET/GMP-ECM 6.2.3

c144

name 名前Dmitry Domanov
date 日付March 15, 2010 13:58:51 UTC 2010 年 3 月 15 日 (月) 22 時 58 分 51 秒 (日本時間)
composite number 合成数
552485526501877367670944061074037598658838575099799387466600086129232312748076812023537737324150557920638878182831650796712172959525387397113113<144>
prime factors 素因数
182196639933150089145482211714113<33>
4171804209352072500638887160821389196590907292233<49>
726869797784362812569971191501943992622966056149515373889530897<63>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2358317610
Step 1 took 208625ms
Step 2 took 73891ms
********** Factor found in step 2: 182196639933150089145482211714113
Found probable prime factor of 33 digits: 182196639933150089145482211714113
Composite cofactor 3032358482047694523207306781438365011387557131275774341968127264158470197367052136793724864084256103612861623001 has 112 digits

gnfs on c112:
Number: 112g
N=3032358482047694523207306781438365011387557131275774341968127264158470197367052136793724864084256103612861623001
  ( 112 digits)
Divisors found:
 r1=4171804209352072500638887160821389196590907292233 (pp49)
 r2=726869797784362812569971191501943992622966056149515373889530897 (pp63)
Version: Msieve-1.40
Total time: 18.53 hours.
Scaled time: 36.26 units (timescale=1.957).
Factorization parameters were as follows:
name: 112g
n: 3032358482047694523207306781438365011387557131275774341968127264158470197367052136793724864084256103612861623001
skew: 14742.81
# norm 1.32e+015
c5: 98280
c4: 2320536816
c3: -64164803706730
c2: -31106763761182397
c1: -1951736274853801360102
c0: -9599894212807595088712047
# alpha -5.62
Y1: 147025245313
Y0: -1985468160220807201006
# Murphy_E 8.50e-010
# M 384400170939190395285072899302888922076673222511249906220678353666710728647567722178423016041106703295557401539
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484197 x 484422
Polynomial selection time: 1.84 hours.
Total sieving time: 15.70 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 18.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 830Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60 / 2284--
4511e610 / 4475Dmitry DomanovMarch 14, 2010 10:12:20 UTC 2010 年 3 月 14 日 (日) 19 時 12 分 20 秒 (日本時間)

5×10202-1

c187

name 名前Jo Yeong Uk
date 日付November 1, 2019 09:14:05 UTC 2019 年 11 月 1 日 (金) 18 時 14 分 5 秒 (日本時間)
composite number 合成数
5015290233901292893825248899684541442994973439756132190754881691353163034078998008633124993671513735753561240251853523872158008519024416059124172595091749786543803911646916213086504220051<187>
prime factors 素因数
8661365851031940612715942013919458904705195432371383278224633626971329331164714839249<85>
579041495320712778615169255821394165248896700888060879315604241064691597839075058923520848613019665699<102>
factorization results 素因数分解の結果
Number: 49999_202
N=5015290233901292893825248899684541442994973439756132190754881691353163034078998008633124993671513735753561240251853523872158008519024416059124172595091749786543803911646916213086504220051
  ( 187 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=8661365851031940612715942013919458904705195432371383278224633626971329331164714839249
 r2=579041495320712778615169255821394165248896700888060879315604241064691597839075058923520848613019665699
Version: 
Total time: 248.99 hours.
Scaled time: 1308.43 units (timescale=5.255).
Factorization parameters were as follows:
n: 5015290233901292893825248899684541442994973439756132190754881691353163034078998008633124993671513735753561240251853523872158008519024416059124172595091749786543803911646916213086504220051
m: 10000000000000000000000000000000000000000
deg: 5
c5: 500
c0: -1
skew: 0.29
# Murphy_E = 1.453e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9000000, 17800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38787242
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3274912 x 3275160
Total sieving time: 218.28 hours.
Total relation processing time: 9.12 hours.
Matrix solve time: 20.06 hours.
Time per square root: 1.53 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 248.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e62313758Dmitry DomanovMarch 14, 2010 23:29:29 UTC 2010 年 3 月 15 日 (月) 8 時 29 分 29 秒 (日本時間)
1555MicahMarch 7, 2018 19:34:55 UTC 2018 年 3 月 8 日 (木) 4 時 34 分 55 秒 (日本時間)
5043e62971 / 7034MicahMarch 7, 2018 19:34:55 UTC 2018 年 3 月 8 日 (木) 4 時 34 分 55 秒 (日本時間)

5×10203-1

c174

name 名前Serge Batalov
date 日付February 15, 2010 07:25:51 UTC 2010 年 2 月 15 日 (月) 16 時 25 分 51 秒 (日本時間)
composite number 合成数
998623497009634871109694569960470595906946477474603279760410539509193598745205148185345023642587775539473706908746516182737800400937939601254689148262150169127942992299598271<174>
prime factors 素因数
2554622678263833197592677847961<31>
390908413013978675146771484752199003167231189156775159156205850793919698840431642638279029672333023682560763345367200793430440317854489182418711<144>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=538880341
Step 1 took 8801ms
********** Factor found in step 1: 2554622678263833197592677847961
Found probable prime factor of 31 digits: 2554622678263833197592677847961
Probable prime cofactor has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)

5×10204-1

c181

name 名前Jo Yeong Uk
date 日付December 24, 2019 14:33:36 UTC 2019 年 12 月 24 日 (火) 23 時 33 分 36 秒 (日本時間)
composite number 合成数
5244190202071814186114383691498996428951787172160726809271085702104159403588979536844554032689461383576288871592299989937918211495575459931127155805464368137485526894426055819575009<181>
prime factors 素因数
63529434660685481712826065940753124136218774931706660112279<59>
82547408615885665856592926150814026874539609045397055599612719249737327619468454230616936839903083048490196933791967820871<122>
factorization results 素因数分解の結果
Number: 49999_204
N=5244190202071814186114383691498996428951787172160726809271085702104159403588979536844554032689461383576288871592299989937918211495575459931127155805464368137485526894426055819575009
  ( 181 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=63529434660685481712826065940753124136218774931706660112279
 r2=82547408615885665856592926150814026874539609045397055599612719249737327619468454230616936839903083048490196933791967820871
Version: 
Total time: 261.15 hours.
Scaled time: 1371.06 units (timescale=5.250).
Factorization parameters were as follows:
n: 5244190202071814186114383691498996428951787172160726809271085702104159403588979536844554032689461383576288871592299989937918211495575459931127155805464368137485526894426055819575009
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -2
skew: 1.15
# Murphy_E = 1.415e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 19000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38658588
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3510190 x 3510438
Total sieving time: 228.19 hours.
Total relation processing time: 9.19 hours.
Matrix solve time: 23.58 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 261.15 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e6771 / 4475651Dmitry DomanovMarch 14, 2010 23:30:25 UTC 2010 年 3 月 15 日 (月) 8 時 30 分 25 秒 (日本時間)
120Dmitry DomanovMarch 13, 2011 08:10:55 UTC 2011 年 3 月 13 日 (日) 17 時 10 分 55 秒 (日本時間)

5×10206-1

c206

name 名前Ignacio Santos
date 日付April 13, 2010 17:46:16 UTC 2010 年 4 月 14 日 (水) 2 時 46 分 16 秒 (日本時間)
composite number 合成数
17241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931<206>
prime factors 素因数
41006152481744188673570493536228027728945855165177610503773899582571449282291<77>
420458352390428142168860231001144457925753534637387296224061124677353255986020251179755458703468680200706467524489936297238404041<129>
factorization results 素因数分解の結果
Number: 3
N=17241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=41006152481744188673570493536228027728945855165177610503773899582571449282291 (pp77)
 r2=420458352390428142168860231001144457925753534637387296224061124677353255986020251179755458703468680200706467524489936297238404041 (pp129)
Version: Msieve v. 1.43
Total time: 31.68 hours.
Scaled time: 55.42 units (timescale=1.749).
Factorization parameters were as follows:
n: 17241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931
m: 100000000000000000000000000000000000000000
deg: 5
c5: 50
c0: -1
skew: 0.46
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9750000, 20150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3588436 x 3588660
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 29.76 hours.
Time per square root: 1.92 hours.
Prototype def-par.txt line would be:
snfs,206.000,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000
total time: 31.68 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6483118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
365Ignacio SantosMarch 7, 2010 15:05:51 UTC 2010 年 3 月 8 日 (月) 0 時 5 分 51 秒 (日本時間)
403e629050Lionel DebrouxFebruary 22, 2010 13:07:08 UTC 2010 年 2 月 22 日 (月) 22 時 7 分 8 秒 (日本時間)
50Lionel DebrouxFebruary 22, 2010 13:42:40 UTC 2010 年 2 月 22 日 (月) 22 時 42 分 40 秒 (日本時間)
50Lionel DebrouxFebruary 22, 2010 14:53:44 UTC 2010 年 2 月 22 日 (月) 23 時 53 分 44 秒 (日本時間)
140Ignacio SantosMarch 7, 2010 15:23:12 UTC 2010 年 3 月 8 日 (月) 0 時 23 分 12 秒 (日本時間)
4511e6767 / 4394Dmitry DomanovMarch 14, 2010 11:27:07 UTC 2010 年 3 月 14 日 (日) 20 時 27 分 7 秒 (日本時間)

5×10207-1

c174

name 名前Jo Yeong Uk
date 日付January 22, 2020 08:22:00 UTC 2020 年 1 月 22 日 (水) 17 時 22 分 0 秒 (日本時間)
composite number 合成数
211269141504654459376127036556737534882409149279078739262614639561175431331397162521738165228499869076978983950957953623244099431875698803544544797599042034519430885127325999<174>
prime factors 素因数
10321173170665285965397933597759628491490741694395073646315859557433<68>
20469489079509010463842786717858580632039543792945477535870772969766526704942611906341103638209973787508903<107>
factorization results 素因数分解の結果
Number: 49999_207
N=211269141504654459376127036556737534882409149279078739262614639561175431331397162521738165228499869076978983950957953623244099431875698803544544797599042034519430885127325999
  ( 174 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=10321173170665285965397933597759628491490741694395073646315859557433
 r2=20469489079509010463842786717858580632039543792945477535870772969766526704942611906341103638209973787508903
Version: 
Total time: 373.62 hours.
Scaled time: 1945.06 units (timescale=5.206).
Factorization parameters were as follows:
n: 211269141504654459376127036556737534882409149279078739262614639561175431331397162521738165228499869076978983950957953623244099431875698803544544797599042034519430885127325999
m: 100000000000000000000000000000000000000000
deg: 5
c5: 500
c0: -1
skew: 0.29
# Murphy_E = 8.946e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 23000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 40399078
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3809770 x 3810016
Total sieving time: 329.49 hours.
Total relation processing time: 14.15 hours.
Matrix solve time: 29.66 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 373.62 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e6788 / 4475Dmitry DomanovMarch 17, 2010 09:45:09 UTC 2010 年 3 月 17 日 (水) 18 時 45 分 9 秒 (日本時間)

5×10208-1

c171

name 名前Dmitry Domanov
date 日付March 15, 2010 06:14:20 UTC 2010 年 3 月 15 日 (月) 15 時 14 分 20 秒 (日本時間)
composite number 合成数
108159451995498624713858969760365969144565370469527141080842045475257975795441401428301433079553387521059122118421510501192368240895486289323873247774871403104124700851559<171>
prime factors 素因数
5444512418059213485770287129621<31>
composite cofactor 合成数の残り
19865773771906254655051914599652044940465958969830223108110278671710351443876157375526544478996082063754169631478275922528571331275683581579<140>
factorization results 素因数分解の結果
Factor=5444512418059213485770287129621  Method=ECM  B1=11000000  Sigma=1860206752
software ソフトウェア
ECMNET/GMP-ECM 6.2.3

c140

name 名前Ignacio Santos
date 日付March 23, 2010 10:48:41 UTC 2010 年 3 月 23 日 (火) 19 時 48 分 41 秒 (日本時間)
composite number 合成数
19865773771906254655051914599652044940465958969830223108110278671710351443876157375526544478996082063754169631478275922528571331275683581579<140>
prime factors 素因数
33761778333577836984095743612600055368309<41>
588410171277877085168215275935150219768724737738366019195693655037268780693134405011863923995596031<99>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=236103015
Step 1 took 54366ms
Step 2 took 35538ms
********** Factor found in step 2: 33761778333577836984095743612600055368309
Found probable prime factor of 41 digits: 33761778333577836984095743612600055368309
Probable prime cofactor 588410171277877085168215275935150219768724737738366019195693655037268780693134405011863923995596031 has 99 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6215118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
97Ignacio SantosMarch 15, 2010 16:48:44 UTC 2010 年 3 月 16 日 (火) 1 時 48 分 44 秒 (日本時間)
403e6500 / 1971Erik BrangerMarch 23, 2010 09:08:28 UTC 2010 年 3 月 23 日 (火) 18 時 8 分 28 秒 (日本時間)
4511e693 / 4360Dmitry DomanovMarch 15, 2010 06:13:55 UTC 2010 年 3 月 15 日 (月) 15 時 13 分 55 秒 (日本時間)

5×10209-1

c210

name 名前Sinkiti Sibata
date 日付March 17, 2010 22:27:50 UTC 2010 年 3 月 18 日 (木) 7 時 27 分 50 秒 (日本時間)
composite number 合成数
499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<210>
prime factors 素因数
74233923525755882623876843773148868376704546444139853177420627156639777259999<77>
6735465084591981075391067251840787634425730351218289307321272035738372690381401228815484151781099392987616594380626862745747377260001<133>
factorization results 素因数分解の結果
Number: 49999_209
N=499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 210 digits)
SNFS difficulty: 209 digits.
Divisors found:
 r1=74233923525755882623876843773148868376704546444139853177420627156639777259999 (pp77)
 r2=6735465084591981075391067251840787634425730351218289307321272035738372690381401228815484151781099392987616594380626862745747377260001 (pp133)
Version: Msieve v. 1.42
Total time: 116.84 hours.
Scaled time: 99.43 units (timescale=0.851).
Factorization parameters were as follows:
name: 49999_209
n: 499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 500000000000000000000000000000000000000000
deg: 5
c5: 16
c0: -1
skew: 0.57
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [11000000, 23900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4319027 x 4319252
Total sieving time: 0.00 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 112.99 hours.
Time per square root: 3.34 hours.
Prototype def-par.txt line would be:
snfs,209.000,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 116.84 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 30 days.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6300Lionel DebrouxFebruary 16, 2010 20:33:25 UTC 2010 年 2 月 17 日 (水) 5 時 33 分 25 秒 (日本時間)
4511e6933 / 4409Dmitry DomanovFebruary 22, 2010 04:46:19 UTC 2010 年 2 月 22 日 (月) 13 時 46 分 19 秒 (日本時間)

5×10213-1

c163

name 名前Eric Jeancolas
date 日付February 7, 2023 08:20:43 UTC 2023 年 2 月 7 日 (火) 17 時 20 分 43 秒 (日本時間)
composite number 合成数
6376751687084932504132390485164712117745474729495273282998751370002634527718583731613603334777021969034275964753516206826953219495542662311801794679381444419974177<163>
prime factors 素因数
15860760643458946874022600554360703213481516897168621728357230159<65>
402045767566307434874377773748286737555448607088803303487745034221811130246501832307787215605404303<99>
factorization results 素因数分解の結果
10^213*5-1 = 47*230807*21470669413327*53438730700991*62997301299238279*15860760643458946874022600554360703213481516897168621728357230159*402045767566307434874377773748286737555448607088803303487745034221811130246501832307787215605404303
software ソフトウェア
factordb

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e64475727Dmitry DomanovMarch 17, 2010 09:46:09 UTC 2010 年 3 月 17 日 (水) 18 時 46 分 9 秒 (日本時間)
3748Florian BaurAugust 9, 2022 05:13:24 UTC 2022 年 8 月 9 日 (火) 14 時 13 分 24 秒 (日本時間)

5×10214-1

c214

name 名前Robert Backstrom
date 日付October 16, 2010 08:35:54 UTC 2010 年 10 月 16 日 (土) 17 時 35 分 54 秒 (日本時間)
composite number 合成数
2631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421<214>
prime factors 素因数
9752788909634205994619077221096785938960657926162541908530453339026816786573399<79>
269828350818588838486696965972521625094679526174992740456312339175621830637920213766353561475619315428814153401271388702815978467270179<135>
factorization results 素因数分解の結果
Number: n
N=2631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421
  ( 214 digits)
SNFS difficulty: 214 digits.
Divisors found:

Sat Oct 16 19:09:16 2010  prp79 factor: 9752788909634205994619077221096785938960657926162541908530453339026816786573399
Sat Oct 16 19:09:16 2010  prp135 factor: 269828350818588838486696965972521625094679526174992740456312339175621830637920213766353561475619315428814153401271388702815978467270179
Sat Oct 16 19:09:16 2010  elapsed time 25:23:12 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_4_9_214
n: 2631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421
m: 100000000000000000000000000000000000
deg: 6
c6: 50000
c0: -1
skew: 0.16
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 92800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 14798934 hash collisions in 74005543 relations
Msieve: matrix is 3599447 x 3599672 (1021.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,214,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318140Lionel DebrouxFebruary 17, 2010 09:39:01 UTC 2010 年 2 月 17 日 (水) 18 時 39 分 1 秒 (日本時間)
160Lionel DebrouxFebruary 17, 2010 10:52:09 UTC 2010 年 2 月 17 日 (水) 19 時 52 分 9 秒 (日本時間)
2018Wataru SakaiJune 4, 2010 09:47:47 UTC 2010 年 6 月 4 日 (金) 18 時 47 分 47 秒 (日本時間)

5×10216-1

c194

name 名前Eric Jeancolas
date 日付February 7, 2023 08:22:07 UTC 2023 年 2 月 7 日 (火) 17 時 22 分 7 秒 (日本時間)
composite number 合成数
34396435213005339622188397218856760000111678770290453946962580586403576287514848246120643214242947429686712140190722657007506060303094931202874607413506025931652816281109768887397462222078881611<194>
prime factors 素因数
116574985803146511559428829879757700017147911926744450502111<60>
295058455088200703710024912208089384052846390323806219151342388557461299394078344840807339700656777850221803274170568847291108200084501<135>
factorization results 素因数分解の結果
10^216*5-1 = 631*728561*316199580957499*116574985803146511559428829879757700017147911926744450502111*295058455088200703710024912208089384052846390323806219151342388557461299394078344840807339700656777850221803274170568847291108200084501
software ソフトウェア
factordb

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e64475700Dmitry DomanovMarch 17, 2010 09:56:19 UTC 2010 年 3 月 17 日 (水) 18 時 56 分 19 秒 (日本時間)
3775Florian BaurAugust 9, 2022 08:47:35 UTC 2022 年 8 月 9 日 (火) 17 時 47 分 35 秒 (日本時間)

5×10217-1

c216

name 名前Erik Branger
date 日付March 8, 2011 16:15:29 UTC 2011 年 3 月 9 日 (水) 1 時 15 分 29 秒 (日本時間)
composite number 合成数
420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521<216>
prime factors 素因数
29979151613498035542461348082989786726503784244119182673178067671784924775137379879<83>
14015342149899637914483845929363307316765291907978376298070367648161549469669907884526761546482631026407992131079476454286243492845599<134>
factorization results 素因数分解の結果
Number: 49999_217
N = 420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521 (216 digits)
SNFS difficulty: 218 digits.
Divisors found:
r1=29979151613498035542461348082989786726503784244119182673178067671784924775137379879 (pp83)
r2=14015342149899637914483845929363307316765291907978376298070367648161549469669907884526761546482631026407992131079476454286243492845599 (pp134)
Version: Msieve v. 1.48
Total time: 1506.18 hours.
Factorization parameters were as follows:
n: 420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521
m: 1000000000000000000000000000000000000
deg: 6
c6: 50
c0: -1
skew: 0.52
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [16000000, 41300000)
Relations: 47055864
Relations in full relation-set: 8534628 relations
Pruned matrix : 5433386 x 5433610
Polynomial selection time: 0.00 hours.
Total sieving time: 1473.67 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 28.88 hours.
time per square root: 3.29 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e683170RSALS + Lionel Debroux + Joshua2February 17, 2010 12:55:10 UTC 2010 年 2 月 17 日 (水) 21 時 55 分 10 秒 (日本時間)
50Lionel DebrouxFebruary 17, 2010 15:16:51 UTC 2010 年 2 月 18 日 (木) 0 時 16 分 51 秒 (日本時間)
711Dmitry DomanovMarch 14, 2010 11:28:03 UTC 2010 年 3 月 14 日 (日) 20 時 28 分 3 秒 (日本時間)
5043e65000Erik BrangerFebruary 19, 2011 15:06:09 UTC 2011 年 2 月 20 日 (日) 0 時 6 分 9 秒 (日本時間)
5511e71000 / 15933Erik BrangerFebruary 19, 2011 15:06:16 UTC 2011 年 2 月 20 日 (日) 0 時 6 分 16 秒 (日本時間)

5×10222-1

c209

name 名前anonymous
date 日付January 16, 2019 12:23:50 UTC 2019 年 1 月 16 日 (水) 21 時 23 分 50 秒 (日本時間)
composite number 合成数
86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251<209>
prime factors 素因数
22966405098500429487826467596467086275956617380822614148312137846496943681046775281<83>
3773296909184394250574158477898778491609230279536702956242016369841470285379967796154781688717210749960693477326466415885967371<127>
factorization results 素因数分解の結果
Mon May 28 07:26:46 2018  
Mon May 28 07:26:46 2018  
Mon May 28 07:26:46 2018  Msieve v. 1.53 (SVN unknown)
Mon May 28 07:26:46 2018  random seeds: 3d9c9dc8 0b6aee64
Mon May 28 07:26:46 2018  factoring 86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251 (209 digits)
Mon May 28 07:26:47 2018  searching for 15-digit factors
Mon May 28 07:26:48 2018  commencing number field sieve (209-digit input)
Mon May 28 07:26:48 2018  R0: -10000000000000000000000000000000000000
Mon May 28 07:26:48 2018  R1: 1
Mon May 28 07:26:48 2018  A0: -1
Mon May 28 07:26:48 2018  A1: 0
Mon May 28 07:26:48 2018  A2: 0
Mon May 28 07:26:48 2018  A3: 0
Mon May 28 07:26:48 2018  A4: 0
Mon May 28 07:26:48 2018  A5: 0
Mon May 28 07:26:48 2018  A6: 5
Mon May 28 07:26:48 2018  skew 0.76, size 4.671e-11, alpha 2.301, combined = 1.941e-12 rroots = 2
Mon May 28 07:26:48 2018  
Mon May 28 07:26:48 2018  commencing linear algebra
Mon May 28 07:26:49 2018  read 5338907 cycles
Mon May 28 07:26:56 2018  cycles contain 14330639 unique relations
Mon May 28 07:28:59 2018  read 14330639 relations
Mon May 28 07:29:20 2018  using 20 quadratic characters above 4294917295
Mon May 28 07:30:11 2018  building initial matrix
Mon May 28 07:32:23 2018  memory use: 1879.4 MB
Mon May 28 07:32:27 2018  read 5338907 cycles
Mon May 28 07:32:28 2018  matrix is 5338729 x 5338907 (1577.1 MB) with weight 459159390 (86.00/col)
Mon May 28 07:32:28 2018  sparse part has weight 360030892 (67.44/col)
Mon May 28 07:33:23 2018  filtering completed in 2 passes
Mon May 28 07:33:25 2018  matrix is 5337786 x 5337964 (1577.0 MB) with weight 459134063 (86.01/col)
Mon May 28 07:33:25 2018  sparse part has weight 360022552 (67.45/col)
Mon May 28 07:33:36 2018  matrix starts at (0, 0)
Mon May 28 07:33:37 2018  matrix is 5337786 x 5337964 (1577.0 MB) with weight 459134063 (86.01/col)
Mon May 28 07:33:37 2018  sparse part has weight 360022552 (67.45/col)
Mon May 28 07:33:37 2018  saving the first 48 matrix rows for later
Mon May 28 07:33:38 2018  matrix includes 64 packed rows
Mon May 28 07:33:39 2018  matrix is 5337738 x 5337964 (1517.1 MB) with weight 367940775 (68.93/col)
Mon May 28 07:33:39 2018  sparse part has weight 344315826 (64.50/col)
Mon May 28 07:33:39 2018  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Mon May 28 07:34:00 2018  commencing Lanczos iteration (6 threads)
Mon May 28 07:34:00 2018  memory use: 1247.9 MB
Mon May 28 07:34:17 2018  linear algebra at 0.0%, ETA 15h40m
Mon May 28 07:34:22 2018  checkpointing every 350000 dimensions
Mon May 28 18:22:41 2018  lanczos halted after 84404 iterations (dim = 5337733)
Mon May 28 18:22:46 2018  recovered 32 nontrivial dependencies
Mon May 28 18:22:47 2018  BLanczosTime: 39359
Mon May 28 18:22:47 2018  elapsed time 10:56:01
Mon May 28 18:22:47 2018 -> Running square root step ...
Mon May 28 18:22:47 2018  
Mon May 28 18:22:47 2018  
Mon May 28 18:22:47 2018  Msieve v. 1.53 (SVN unknown)
Mon May 28 18:22:47 2018  random seeds: 55933d58 4bdac7d1
Mon May 28 18:22:47 2018  factoring 86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251 (209 digits)
Mon May 28 18:22:48 2018  searching for 15-digit factors
Mon May 28 18:22:49 2018  commencing number field sieve (209-digit input)
Mon May 28 18:22:49 2018  R0: -10000000000000000000000000000000000000
Mon May 28 18:22:49 2018  R1: 1
Mon May 28 18:22:49 2018  A0: -1
Mon May 28 18:22:49 2018  A1: 0
Mon May 28 18:22:49 2018  A2: 0
Mon May 28 18:22:49 2018  A3: 0
Mon May 28 18:22:49 2018  A4: 0
Mon May 28 18:22:49 2018  A5: 0
Mon May 28 18:22:49 2018  A6: 5
Mon May 28 18:22:49 2018  skew 0.76, size 4.671e-11, alpha 2.301, combined = 1.941e-12 rroots = 2
Mon May 28 18:22:49 2018  
Mon May 28 18:22:49 2018  commencing square root phase
Mon May 28 18:22:49 2018  reading relations for dependency 1
Mon May 28 18:22:50 2018  read 2669562 cycles
Mon May 28 18:22:53 2018  cycles contain 7164250 unique relations
Mon May 28 18:23:58 2018  read 7164250 relations
Mon May 28 18:24:30 2018  multiplying 7164250 relations
Mon May 28 18:28:40 2018  multiply complete, coefficients have about 189.55 million bits
Mon May 28 18:28:42 2018  initial square root is modulo 6346897
Mon May 28 18:34:04 2018  sqrtTime: 675
Mon May 28 18:34:04 2018  p83 factor: 22966405098500429487826467596467086275956617380822614148312137846496943681046775281
Mon May 28 18:34:04 2018  p127 factor: 3773296909184394250574158477898778491609230279536702956242016369841470285379967796154781688717210749960693477326466415885967371
Mon May 28 18:34:04 2018  elapsed time 00:11:17
Mon May 28 18:34:04 2018 -> Computing 1.5275e+09 scale for this machine...
Mon May 28 18:34:04 2018 -> procrels -speedtest> PIPE
Mon May 28 18:34:07 2018 -> Factorization summary written to s223-1361.txt


Number: 1361
N = 86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251 (209 digits)
SNFS difficulty: 223 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 423.79 hours.
Factorization parameters were as follows:
n: 86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251
m: 10000000000000000000000000000000000000
c6: 5
c0: -1
type: snfs

Factor base limits: 36500000/36500000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 61081714
Relations: 7164250 relations
Pruned matrix : 5337738 x 5337964
Polynomial selection time: 0.00 hours.
Total sieving time: 412.21 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 10.93 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,223,6,0,0,0,0,0,0,0,0,36500000,36500000,29,29,58,58,2.6,2.6,100000
total time: 423.79 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.30GHz
execution environment 実行環境
ci7 3960  3.3GHz windows 7 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60--
4511e6776 / 4475Dmitry DomanovMarch 17, 2010 09:55:45 UTC 2010 年 3 月 17 日 (水) 18 時 55 分 45 秒 (日本時間)

5×10223-1

c218

name 名前Lionel Debroux
date 日付February 17, 2010 12:22:42 UTC 2010 年 2 月 17 日 (水) 21 時 22 分 42 秒 (日本時間)
composite number 合成数
22659695335864270237713799890417713355760389130416063729939938211542758165307915802010458808979221512570919181477421199776484765207034838375191077880919675458779521617575947367872449481342233457402718528968834308228959<218>
prime factors 素因数
21118070929959317211626114099727311791<38>
composite cofactor 合成数の残り
1073000247561339300781980328244866992740839568567052581454393772037678240087127436460526365491700195594995855785448223892375425434892528225565869520524190025763099217582798520423249<181>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.2] [ECM]
Input number is 22659695335864270237713799890417713355760389130416063729939938211542758165307915802010458808979221512570919181477421199776484765207034838375191077880919675458779521617575947367872449481342233457402718528968834308228959 (218 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2793598215
Step 1 took 34500ms
Step 2 took 18511ms
********** Factor found in step 2: 21118070929959317211626114099727311791
Found probable prime factor of 38 digits: 21118070929959317211626114099727311791
Composite cofactor 1073000247561339300781980328244866992740839568567052581454393772037678240087127436460526365491700195594995855785448223892375425434892528225565869520524190025763099217582798520423249 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 04:35:42 UTC 2010 年 9 月 20 日 (月) 13 時 35 分 42 秒 (日本時間)
403e6310200Lionel DebrouxFebruary 17, 2010 12:21:39 UTC 2010 年 2 月 17 日 (水) 21 時 21 分 39 秒 (日本時間)
110Ignacio SantosSeptember 20, 2010 04:35:42 UTC 2010 年 9 月 20 日 (月) 13 時 35 分 42 秒 (日本時間)
4511e6439332Ignacio SantosSeptember 20, 2010 04:35:42 UTC 2010 年 9 月 20 日 (月) 13 時 35 分 42 秒 (日本時間)
540Dmitry DomanovMarch 13, 2011 08:13:35 UTC 2011 年 3 月 13 日 (日) 17 時 13 分 35 秒 (日本時間)
3821Florian BaurAugust 9, 2022 12:02:07 UTC 2022 年 8 月 9 日 (火) 21 時 2 分 7 秒 (日本時間)

5×10224-1

c208

name 名前Dmitry Domanov
date 日付March 13, 2011 10:33:11 UTC 2011 年 3 月 13 日 (日) 19 時 33 分 11 秒 (日本時間)
composite number 合成数
3223569209968546718943839247963141477853295590996756928280941304794329969986088463955282408621704923981680594828837197173709115639005820814387049882357860518211090771596767372768786536527032287553971522961029<208>
prime factors 素因数
851656886812221489761650074771849972581<39>
composite cofactor 合成数の残り
3785056235539252957419901760913803349237596296285105697481640266338746205559778137253554308273021639716792707801903916220178510661762642974436979058492175269675845403809<169>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2506630945
Step 1 took 168797ms
Step 2 took 59349ms
********** Factor found in step 2: 851656886812221489761650074771849972581
Found probable prime factor of 39 digits: 851656886812221489761650074771849972581
Composite cofactor 3785056235539252957419901760913803349237596296285105697481640266338746205559778137253554308273021639716792707801903916220178510661762642974436979058492175269675845403809 has 169 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 04:36:30 UTC 2010 年 9 月 20 日 (月) 13 時 36 分 30 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 04:36:30 UTC 2010 年 9 月 20 日 (月) 13 時 36 分 30 秒 (日本時間)
4511e6443732Ignacio SantosSeptember 20, 2010 04:36:30 UTC 2010 年 9 月 20 日 (月) 13 時 36 分 30 秒 (日本時間)
600Dmitry DomanovMarch 13, 2011 08:14:17 UTC 2011 年 3 月 13 日 (日) 17 時 14 分 17 秒 (日本時間)
3805Florian BaurAugust 9, 2022 14:34:07 UTC 2022 年 8 月 9 日 (火) 23 時 34 分 7 秒 (日本時間)

5×10225-1

c192

name 名前Florian Baur
date 日付August 9, 2022 17:01:34 UTC 2022 年 8 月 10 日 (水) 2 時 1 分 34 秒 (日本時間)
composite number 合成数
888491220767629204043700549560288731578499099041576445886905560867557360059062725600522974975551567298127222233163286631270380932523615201753348655871491843442192480819154112567500793089238417<192>
prime factors 素因数
247261790284811252546669307192809454199807<42>
composite cofactor 合成数の残り
3593321959467375351300115139099431792086576064520801154758481614174516732808784673224354794102131804610101836595616424592156197257336371016290003269231<151>
factorization results 素因数分解の結果
08/09/22 16:16:48, prp42=247261790284811252546669307192809454199807 stg2 B1=11000000 sigma=2967173348 thread=9
software ソフトウェア
GMP-ECM 7.0.4+ds-6
execution environment 実行環境
i10920x, 32 GB, Ubuntu 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 04:37:24 UTC 2010 年 9 月 20 日 (月) 13 時 37 分 24 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 04:37:24 UTC 2010 年 9 月 20 日 (月) 13 時 37 分 24 秒 (日本時間)
4511e6443832Ignacio SantosSeptember 20, 2010 04:37:24 UTC 2010 年 9 月 20 日 (月) 13 時 37 分 24 秒 (日本時間)
600Dmitry DomanovMarch 13, 2011 08:14:57 UTC 2011 年 3 月 13 日 (日) 17 時 14 分 57 秒 (日本時間)
2278Florian BaurAugust 9, 2022 16:55:51 UTC 2022 年 8 月 10 日 (水) 1 時 55 分 51 秒 (日本時間)
1528ebinaAugust 11, 2022 00:04:49 UTC 2022 年 8 月 11 日 (木) 9 時 4 分 49 秒 (日本時間)
5043e66618Ignacio SantosJanuary 11, 2024 09:33:48 UTC 2024 年 1 月 11 日 (木) 18 時 33 分 48 秒 (日本時間)

5×10226-1

c187

name 名前Florian Baur
date 日付August 9, 2022 18:52:35 UTC 2022 年 8 月 10 日 (水) 3 時 52 分 35 秒 (日本時間)
composite number 合成数
1345528601213774446568065551725468889922927317637483733068526684583948678205198174784010583461901154090844557724117004337187296482795333692981387577598733238165361272238281784652515812979<187>
prime factors 素因数
182501490957644244995946501154690449123644111<45>
7372699226473994608203901243870940633170357396747605658175157027007000543354235955835658215954508299101514672607947410659222198418546528316189<142>
factorization results 素因数分解の結果
08/09/22 17:50:34, prp45 = 182501490957644244995946501154690449123644111 (curve  926 stg1 B1=11000000 sigma=18425149 thread=3)
software ソフトウェア
GMP-ECM 7.0.4+ds-6
execution environment 実行環境
i9-10920x, 32 GB, Ubuntu 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 04:38:12 UTC 2010 年 9 月 20 日 (月) 13 時 38 分 12 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 04:38:12 UTC 2010 年 9 月 20 日 (月) 13 時 38 分 12 秒 (日本時間)
4511e61567 / 275332Ignacio SantosSeptember 20, 2010 04:38:12 UTC 2010 年 9 月 20 日 (月) 13 時 38 分 12 秒 (日本時間)
600Dmitry DomanovMarch 13, 2011 11:39:37 UTC 2011 年 3 月 13 日 (日) 20 時 39 分 37 秒 (日本時間)
935Florian BaurAugust 9, 2022 18:44:39 UTC 2022 年 8 月 10 日 (水) 3 時 44 分 39 秒 (日本時間)
5043e6480 / 7195Dmitry DomanovOctober 27, 2011 22:29:56 UTC 2011 年 10 月 28 日 (金) 7 時 29 分 56 秒 (日本時間)

5×10227-1

c171

name 名前Serge Batalov
date 日付February 15, 2010 07:49:35 UTC 2010 年 2 月 15 日 (月) 16 時 49 分 35 秒 (日本時間)
composite number 合成数
125064061947942932177920125423510967623982575206107154226323051543272187629056595816833302650756903722543789841848559589393893472333750611209514297196426344372440310533649<171>
prime factors 素因数
447336377102339125698176114896399<33>
composite cofactor 合成数の残り
279574987301628439688446757761037227003507265773642977725071986942769160442355581237337876208228991795523810575815672350925788277313462751<138>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=791304540
Step 1 took 7304ms
Step 2 took 4009ms
********** Factor found in step 2: 447336377102339125698176114896399
Found probable prime factor of 33 digits: 447336377102339125698176114896399
Composite cofactor has 138 digits

c138

name 名前Wataru Sakai
date 日付February 21, 2010 04:23:16 UTC 2010 年 2 月 21 日 (日) 13 時 23 分 16 秒 (日本時間)
composite number 合成数
279574987301628439688446757761037227003507265773642977725071986942769160442355581237337876208228991795523810575815672350925788277313462751<138>
prime factors 素因数
8626344382618303838988675128545481723242783<43>
32409439607461008824778680821663857325194089577362379029205157792407692648940641787492915621697<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1637473757
Step 1 took 42607ms
Step 2 took 14660ms
********** Factor found in step 2: 8626344382618303838988675128545481723242783
Found probable prime factor of 43 digits: 8626344382618303838988675128545481723242783
Probable prime cofactor 32409439607461008824778680821663857325194089577362379029205157792407692648940641787492915621697 has 95 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)

5×10229-1

c195

composite cofactor 合成数の残り
608181839209934649515819756829809452926459803673257356692998348015455689664863948500202411423137819449976464099365727358114578914127059890163124787808139712240262938520595711065046434206508822623<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 04:39:17 UTC 2010 年 9 月 20 日 (月) 13 時 39 分 17 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 04:39:17 UTC 2010 年 9 月 20 日 (月) 13 時 39 分 17 秒 (日本時間)
4511e6275332Ignacio SantosSeptember 20, 2010 04:39:17 UTC 2010 年 9 月 20 日 (月) 13 時 39 分 17 秒 (日本時間)
600Dmitry DomanovMarch 13, 2011 11:40:42 UTC 2011 年 3 月 13 日 (日) 20 時 40 分 42 秒 (日本時間)
2121Florian BaurAugust 9, 2022 20:53:16 UTC 2022 年 8 月 10 日 (水) 5 時 53 分 16 秒 (日本時間)
5043e6480 / 6929Dmitry DomanovOctober 27, 2011 22:29:26 UTC 2011 年 10 月 28 日 (金) 7 時 29 分 26 秒 (日本時間)

5×10230-1

c210

composite cofactor 合成数の残り
217043482878650632536824945920947140964320293604342932570231621045970937147714464148791612854695096924586326581127223240696128763463733573403584521840841009016730005031781293925347452307196039893152316930129141<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 13:21:47 UTC 2010 年 9 月 20 日 (月) 22 時 21 分 47 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 13:21:47 UTC 2010 年 9 月 20 日 (月) 22 時 21 分 47 秒 (日本時間)
4511e6632 / 163032Ignacio SantosSeptember 20, 2010 13:21:47 UTC 2010 年 9 月 20 日 (月) 22 時 21 分 47 秒 (日本時間)
600Dmitry DomanovMarch 13, 2011 22:20:50 UTC 2011 年 3 月 14 日 (月) 7 時 20 分 50 秒 (日本時間)
5043e6800 / 7405Dmitry DomanovOctober 27, 2011 22:28:41 UTC 2011 年 10 月 28 日 (金) 7 時 28 分 41 秒 (日本時間)

5×10231-1

c161

composite cofactor 合成数の残り
11420035611435368713073157578488543996684157602114775891980190118537431724099209657460973221210875152918670707182595360344940508299307862077981278627259445037601<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62411411Wataru SakaiFebruary 19, 2010 09:25:34 UTC 2010 年 2 月 19 日 (金) 18 時 25 分 34 秒 (日本時間)
2000Markus TervoorenFebruary 20, 2010 11:54:46 UTC 2010 年 2 月 20 日 (土) 20 時 54 分 46 秒 (日本時間)
4511e655003000Markus TervoorenFebruary 20, 2010 11:54:46 UTC 2010 年 2 月 20 日 (土) 20 時 54 分 46 秒 (日本時間)
2500Dmitry DomanovApril 11, 2010 19:39:05 UTC 2010 年 4 月 12 日 (月) 4 時 39 分 5 秒 (日本時間)
5043e60--
5511e72595 / 17406yoyo@homeSeptember 20, 2010 20:42:08 UTC 2010 年 9 月 21 日 (火) 5 時 42 分 8 秒 (日本時間)

5×10233-1

c214

composite cofactor 合成数の残り
7434562317926460457414657297383108075633931846066533669822849922943734905143354593366058129468311477576588226576688000445143454682976782952722417866417513393949416463993266778820715598162010144529264005675190843999<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 13:22:13 UTC 2010 年 9 月 20 日 (月) 22 時 22 分 13 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 13:22:13 UTC 2010 年 9 月 20 日 (月) 22 時 22 分 13 秒 (日本時間)
4511e663232Ignacio SantosSeptember 20, 2010 13:22:13 UTC 2010 年 9 月 20 日 (月) 22 時 22 分 13 秒 (日本時間)
600Dmitry DomanovMarch 13, 2011 22:21:41 UTC 2011 年 3 月 14 日 (月) 7 時 21 分 41 秒 (日本時間)
5043e61085480Dmitry DomanovOctober 25, 2011 21:19:23 UTC 2011 年 10 月 26 日 (水) 6 時 19 分 23 秒 (日本時間)
480Dmitry DomanovOctober 26, 2011 22:09:03 UTC 2011 年 10 月 27 日 (木) 7 時 9 分 3 秒 (日本時間)
125Dmitry DomanovOctober 28, 2011 11:44:29 UTC 2011 年 10 月 28 日 (金) 20 時 44 分 29 秒 (日本時間)
5511e72635 / 17342yoyo@homeJanuary 8, 2012 07:35:04 UTC 2012 年 1 月 8 日 (日) 16 時 35 分 4 秒 (日本時間)

5×10234-1

c201

composite cofactor 合成数の残り
565983489748107913303715073226094944654039616427992999879187456268460762643161884792381911850258280633415421328015436285931144046809495556482183304473172587111998577082136008997000933332492391342292681<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 13:22:36 UTC 2010 年 9 月 20 日 (月) 22 時 22 分 36 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 13:22:36 UTC 2010 年 9 月 20 日 (月) 22 時 22 分 36 秒 (日本時間)
4511e663232Ignacio SantosSeptember 20, 2010 13:22:36 UTC 2010 年 9 月 20 日 (月) 22 時 22 分 36 秒 (日本時間)
600Dmitry DomanovMarch 13, 2011 22:22:33 UTC 2011 年 3 月 14 日 (月) 7 時 22 分 33 秒 (日本時間)
5043e61085480Dmitry DomanovOctober 25, 2011 21:20:08 UTC 2011 年 10 月 26 日 (水) 6 時 20 分 8 秒 (日本時間)
480Dmitry DomanovOctober 26, 2011 22:09:39 UTC 2011 年 10 月 27 日 (木) 7 時 9 分 39 秒 (日本時間)
125Dmitry DomanovOctober 28, 2011 11:43:22 UTC 2011 年 10 月 28 日 (金) 20 時 43 分 22 秒 (日本時間)
5511e72635 / 17342yoyo@homeJanuary 12, 2012 03:55:05 UTC 2012 年 1 月 12 日 (木) 12 時 55 分 5 秒 (日本時間)

5×10236-1

c129

name 名前Markus Tervooren
date 日付May 11, 2010 21:54:15 UTC 2010 年 5 月 12 日 (水) 6 時 54 分 15 秒 (日本時間)
composite number 合成数
536528526489183621659248725399832474736154770363871041345304201400945204531433912649819487325192844873205277177907892607804785879<129>
prime factors 素因数
6470258543437344169265993338041712737160819241716314457256782291<64>
82922270089712866414156353901693856106990556211017845529500725869<65>
factorization results 素因数分解の結果
> trunk/msieve -s t2.dat -i t2.ini -nf t2.fb -nc -t 4 -v


Msieve v. 1.45
Tue May 11 21:26:40 2010
random seeds: e47e6007 996417ce
factoring 536528526489183621659248725399832474736154770363871041345304201400945204531433912649819487325192844873205277177907892607804785879 (129 digits)
searching for 15-digit factors
commencing number field sieve (129-digit input)
R0: -7568829820763416342987306
R1:  129202982197687
A0:  29981918341596967230913552608435
A1:  475786070351867145816434631
A2:  1004890381602806339499
A3: -5274452512518991
A4: -13507916470
A5:  21600
skew 353638.06, size 2.209987e-12, alpha -6.409585, combined = 9.427630e-11

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
error -15 reading relation 36114157
error -1 reading relation 37722911
error -11 reading relation 39275627
read 40M relations
error -9 reading relation 40844834
error -9 reading relation 43303394
read 50M relations
found 5182935 hash collisions in 55135479 relations
commencing duplicate removal, pass 2
found 3151717 duplicates and 51983762 unique relations
memory use: 197.2 MB
reading ideals above 15794176
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 910.0 MB
commencing in-memory singleton removal
begin with 51983762 relations and 54375739 unique ideals
reduce to 16584470 relations and 12197718 ideals in 18 passes
max relations containing the same ideal: 21
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 508.2 MB
keeping 14119471 ideals with weight <= 200, target excess is 116097
commencing in-memory singleton removal
begin with 16584480 relations and 14119471 unique ideals
reduce to 16576822 relations and 14111770 ideals in 10 passes
max relations containing the same ideal: 200
removing 1101039 relations and 1001039 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 15475783 relations and 14111770 unique ideals
reduce to 15434491 relations and 13069059 ideals in 9 passes
max relations containing the same ideal: 193
removing 790426 relations and 690426 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 14644065 relations and 13069059 unique ideals
reduce to 14619899 relations and 12354304 ideals in 8 passes
max relations containing the same ideal: 187
removing 691352 relations and 591352 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 13928547 relations and 12354304 unique ideals
reduce to 13908488 relations and 11742776 ideals in 6 passes
max relations containing the same ideal: 181
removing 633269 relations and 533269 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 13275219 relations and 11742776 unique ideals
reduce to 13257903 relations and 11192070 ideals in 7 passes
max relations containing the same ideal: 175
removing 593758 relations and 493758 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 12664145 relations and 11192070 unique ideals
reduce to 12647548 relations and 10681619 ideals in 9 passes
max relations containing the same ideal: 169
removing 562684 relations and 462684 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 12084864 relations and 10681619 unique ideals
reduce to 12069656 relations and 10203612 ideals in 7 passes
max relations containing the same ideal: 163
removing 540655 relations and 440655 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 11529001 relations and 10203612 unique ideals
reduce to 11514346 relations and 9748205 ideals in 7 passes
max relations containing the same ideal: 158
removing 521666 relations and 421666 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 10992680 relations and 9748205 unique ideals
reduce to 10977796 relations and 9311542 ideals in 6 passes
max relations containing the same ideal: 154
removing 507122 relations and 407122 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 10470674 relations and 9311542 unique ideals
reduce to 10456670 relations and 8890319 ideals in 7 passes
max relations containing the same ideal: 148
removing 491952 relations and 391952 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 9964718 relations and 8890319 unique ideals
reduce to 9950071 relations and 8483600 ideals in 6 passes
max relations containing the same ideal: 143
removing 481485 relations and 381485 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 9468586 relations and 8483600 unique ideals
reduce to 9453351 relations and 8086748 ideals in 6 passes
max relations containing the same ideal: 137
removing 472098 relations and 372098 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 8981253 relations and 8086748 unique ideals
reduce to 8966596 relations and 7699850 ideals in 7 passes
max relations containing the same ideal: 134
removing 462554 relations and 362554 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 8504042 relations and 7699850 unique ideals
reduce to 8489017 relations and 7322141 ideals in 6 passes
max relations containing the same ideal: 129
removing 455975 relations and 355975 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 8033042 relations and 7322141 unique ideals
reduce to 8017292 relations and 6950248 ideals in 6 passes
max relations containing the same ideal: 121
removing 450304 relations and 350304 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 7566988 relations and 6950248 unique ideals
reduce to 7551158 relations and 6583960 ideals in 6 passes
max relations containing the same ideal: 114
removing 443270 relations and 343270 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 7107888 relations and 6583960 unique ideals
reduce to 7090617 relations and 6223224 ideals in 6 passes
max relations containing the same ideal: 111
removing 439476 relations and 339476 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 6651141 relations and 6223224 unique ideals
reduce to 6633096 relations and 5865500 ideals in 6 passes
max relations containing the same ideal: 103
removing 435029 relations and 335029 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 6198067 relations and 5865500 unique ideals
reduce to 6179912 relations and 5512089 ideals in 6 passes
max relations containing the same ideal: 98
removing 431718 relations and 331718 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 5748194 relations and 5512089 unique ideals
reduce to 5728473 relations and 5160406 ideals in 7 passes
max relations containing the same ideal: 92
removing 429172 relations and 329172 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 5299301 relations and 5160406 unique ideals
reduce to 5277529 relations and 4809179 ideals in 6 passes
max relations containing the same ideal: 86
removing 426635 relations and 326635 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 4850894 relations and 4809179 unique ideals
reduce to 4826866 relations and 4458147 ideals in 7 passes
max relations containing the same ideal: 83
removing 428263 relations and 328263 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 4398603 relations and 4458147 unique ideals
reduce to 4372761 relations and 4103598 ideals in 6 passes
max relations containing the same ideal: 77
removing 426214 relations and 326214 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 3946547 relations and 4103598 unique ideals
reduce to 3917737 relations and 3748054 ideals in 7 passes
max relations containing the same ideal: 71
removing 187201 relations and 152191 ideals in 35010 cliques
commencing in-memory singleton removal
begin with 3730536 relations and 3748054 unique ideals
reduce to 3725064 relations and 3590359 ideals in 6 passes
max relations containing the same ideal: 68
relations with 0 large ideals: 460
relations with 1 large ideals: 1591
relations with 2 large ideals: 25255
relations with 3 large ideals: 158873
relations with 4 large ideals: 516714
relations with 5 large ideals: 954864
relations with 6 large ideals: 1054204
relations with 7+ large ideals: 1013103
commencing 2-way merge
reduce to 2282492 relation sets and 2147787 unique ideals
commencing full merge
memory use: 261.7 MB
found 1182216 cycles, need 1163987
weight of 1163987 cycles is about 81704703 (70.19/cycle)
distribution of cycle lengths:
1 relations: 124593
2 relations: 123890
3 relations: 127541
4 relations: 124309
5 relations: 119596
6 relations: 107946
7 relations: 95205
8 relations: 81026
9 relations: 66867
10+ relations: 193014
heaviest cycle: 18 relations
commencing cycle optimization
start with 6723786 relations
pruned 165018 relations
memory use: 221.0 MB
distribution of cycle lengths:
1 relations: 124593
2 relations: 126298
3 relations: 131591
4 relations: 127305
5 relations: 123118
6 relations: 110146
7 relations: 97185
8 relations: 81746
9 relations: 66757
10+ relations: 175248
heaviest cycle: 18 relations
RelProcTime: 1690

commencing linear algebra
read 1163987 cycles
cycles contain 3650140 unique relations
read 3650140 relations
using 20 quadratic characters above 1073740952
building initial matrix
memory use: 468.4 MB
read 1163987 cycles
matrix is 1163810 x 1163987 (352.7 MB) with weight 110588492 (95.01/col)
sparse part has weight 78487647 (67.43/col)
filtering completed in 2 passes
matrix is 1163306 x 1163482 (352.6 MB) with weight 110569954 (95.03/col)
sparse part has weight 78483066 (67.46/col)
read 1163482 cycles
matrix is 1163306 x 1163482 (352.6 MB) with weight 110569954 (95.03/col)
sparse part has weight 78483066 (67.46/col)
saving the first 48 matrix rows for later
matrix is 1163258 x 1163482 (338.5 MB) with weight 87789775 (75.45/col)
sparse part has weight 77102665 (66.27/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 353.7 MB
linear algebra at 0.1%, ETA 1h16m163482 dimensions (0.1%, ETA 1h16m)
linear algebra completed 1163194 of 1163482 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 18398 iterations (dim = 1163258)
recovered 31 nontrivial dependencies
BLanczosTime: 5678

commencing square root phase
reading relations for dependency 1
read 582328 cycles
cycles contain 1826890 unique relations
read 1826890 relations
multiplying 1826890 relations
multiply complete, coefficients have about 84.33 million bits
initial square root is modulo 1129477
reading relations for dependency 2
read 581981 cycles
cycles contain 1824880 unique relations
read 1824880 relations
multiplying 1824880 relations
multiply complete, coefficients have about 84.23 million bits
initial square root is modulo 1111703
sqrtTime: 622
prp64 factor: 6470258543437344169265993338041712737160819241716314457256782291
prp65 factor: 82922270089712866414156353901693856106990556211017845529500725869
elapsed time 02:13:11

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318300Lionel DebrouxFebruary 17, 2010 18:03:57 UTC 2010 年 2 月 18 日 (木) 3 時 3 分 57 秒 (日本時間)
2018Wataru SakaiFebruary 22, 2010 13:44:01 UTC 2010 年 2 月 22 日 (月) 22 時 44 分 1 秒 (日本時間)

5×10237-1

c206

composite cofactor 合成数の残り
34063920753524954385843233629928351135158593822066367754903503249220845561624412734170904679678674619032576035585555670796107096404320374580342215037705355317492753721909171142699851760177657250117264960873<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 13:23:01 UTC 2010 年 9 月 20 日 (月) 22 時 23 分 1 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 13:23:01 UTC 2010 年 9 月 20 日 (月) 22 時 23 分 1 秒 (日本時間)
4511e663232Ignacio SantosSeptember 20, 2010 13:23:01 UTC 2010 年 9 月 20 日 (月) 22 時 23 分 1 秒 (日本時間)
600Dmitry DomanovMarch 15, 2011 22:31:01 UTC 2011 年 3 月 16 日 (水) 7 時 31 分 1 秒 (日本時間)
5043e61085480Dmitry DomanovOctober 25, 2011 21:28:00 UTC 2011 年 10 月 26 日 (水) 6 時 28 分 0 秒 (日本時間)
480Dmitry DomanovOctober 26, 2011 22:10:09 UTC 2011 年 10 月 27 日 (木) 7 時 10 分 9 秒 (日本時間)
125Dmitry DomanovOctober 28, 2011 11:43:03 UTC 2011 年 10 月 28 日 (金) 20 時 43 分 3 秒 (日本時間)
5511e72635 / 17342yoyo@homeJanuary 12, 2012 07:10:04 UTC 2012 年 1 月 12 日 (木) 16 時 10 分 4 秒 (日本時間)

5×10238-1

c219

name 名前Dmitry Domanov
date 日付October 26, 2011 08:50:33 UTC 2011 年 10 月 26 日 (水) 17 時 50 分 33 秒 (日本時間)
composite number 合成数
964344903360294644014203974379192320494122069791128801501365246462690347458738060391612947879974272163404110189432439544298720900046021278704816856372996164976783655804518891687360012081700501131660314160425536343410711<219>
prime factors 素因数
3770643185594884855062872657981351658981041<43>
composite cofactor 合成数の残り
255750771392109959999408101486188660978546255114160333316743868786983121417413844120867172568236824691164917643963749253355746418074108029648896302647544320710165617356592364871<177>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3766316928
Step 1 took 461853ms
Step 2 took 108778ms
********** Factor found in step 2: 3770643185594884855062872657981351658981041
Found probable prime factor of 43 digits: 3770643185594884855062872657981351658981041
Composite cofactor 255750771392109959999408101486188660978546255114160333316743868786983121417413844120867172568236824691164917643963749253355746418074108029648896302647544320710165617356592364871 has 177 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 20, 2010 13:23:28 UTC 2010 年 9 月 20 日 (月) 22 時 23 分 28 秒 (日本時間)
403e6110Ignacio SantosSeptember 20, 2010 13:23:28 UTC 2010 年 9 月 20 日 (月) 22 時 23 分 28 秒 (日本時間)
4511e663232Ignacio SantosSeptember 20, 2010 13:23:28 UTC 2010 年 9 月 20 日 (月) 22 時 23 分 28 秒 (日本時間)
600Dmitry DomanovMarch 16, 2011 06:45:40 UTC 2011 年 3 月 16 日 (水) 15 時 45 分 40 秒 (日本時間)
5043e61080880Dmitry DomanovOctober 25, 2011 21:28:33 UTC 2011 年 10 月 26 日 (水) 6 時 28 分 33 秒 (日本時間)
200Dmitry DomanovOctober 28, 2011 06:29:00 UTC 2011 年 10 月 28 日 (金) 15 時 29 分 0 秒 (日本時間)
5511e72636 / 173411Dmitry DomanovOctober 28, 2011 06:29:00 UTC 2011 年 10 月 28 日 (金) 15 時 29 分 0 秒 (日本時間)
2635yoyo@homeJanuary 12, 2012 10:15:18 UTC 2012 年 1 月 12 日 (木) 19 時 15 分 18 秒 (日本時間)
6026e71 / 40885Dmitry DomanovOctober 28, 2011 06:29:00 UTC 2011 年 10 月 28 日 (金) 15 時 29 分 0 秒 (日本時間)

5×10239-1

c199

name 名前Ignacio Santos
date 日付September 20, 2010 13:19:42 UTC 2010 年 9 月 20 日 (月) 22 時 19 分 42 秒 (日本時間)
composite number 合成数
8534144113254044647736191396050012351887167933935840870791178052511035707485501802973979205308809625134623072781455159620114765104038162726914255936277971571932861180266881328600171074497393030588719<199>
prime factors 素因数
25616050232745547195235941872673<32>
composite cofactor 合成数の残り
333156128119418852911979742735163554111726301465071133691010432496864876386752207400220263894483613510408835338957772125123778523865612598997627728000470222847119405903<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1220104373
Step 1 took 9734ms
Step 2 took 6552ms
********** Factor found in step 2: 25616050232745547195235941872673
Found probable prime factor of 32 digits: 25616050232745547195235941872673
Composite cofactor 333156128119418852911979742735163554111726301465071133691010432496864876386752207400220263894483613510408835338957772125123778523865612598997627728000470222847119405903 has 168 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
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 22, 2010 18:51:59 UTC 2010 年 9 月 23 日 (木) 3 時 51 分 59 秒 (日本時間)
403e6110Ignacio SantosSeptember 22, 2010 18:51:59 UTC 2010 年 9 月 23 日 (木) 3 時 51 分 59 秒 (日本時間)
4511e663232Ignacio SantosSeptember 22, 2010 18:51:59 UTC 2010 年 9 月 23 日 (木) 3 時 51 分 59 秒 (日本時間)
600Dmitry DomanovMarch 13, 2011 23:17:00 UTC 2011 年 3 月 14 日 (月) 8 時 17 分 0 秒 (日本時間)
5043e61120560Dmitry DomanovOctober 25, 2011 21:29:11 UTC 2011 年 10 月 26 日 (水) 6 時 29 分 11 秒 (日本時間)
560Dmitry DomanovOctober 26, 2011 22:11:34 UTC 2011 年 10 月 27 日 (木) 7 時 11 分 34 秒 (日本時間)
5511e72620 / 17329yoyo@homeJanuary 12, 2012 14:05:04 UTC 2012 年 1 月 12 日 (木) 23 時 5 分 4 秒 (日本時間)

5×10240-1

c235

name 名前Wataru Sakai
date 日付February 17, 2010 05:47:44 UTC 2010 年 2 月 17 日 (水) 14 時 47 分 44 秒 (日本時間)
composite number 合成数
7563712935915685779160760667482539168687438639378807383999116558329085047900994023154038039425097307166920555297548903185987162866405163898095608356995148634522903679141246288107876699377203876856702432943902966639487724850276302433549<235>
prime factors 素因数
2690920046364699064192261715761<31>
2810827823046578732309945858361301765321017194641362074991732793795156529399851864763623962944446216182530402258382409509009244368928634311692449977438787477729329410297310626971000350274958564005706519709<205>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=570533954
Step 1 took 102746ms
Step 2 took 28596ms
********** Factor found in step 2: 2690920046364699064192261715761
Found probable prime factor of 31 digits: 2690920046364699064192261715761
Probable prime cofactor 2810827823046578732309945858361301765321017194641362074991732793795156529399851864763623962944446216182530402258382409509009244368928634311692449977438787477729329410297310626971000350274958564005706519709 has 205 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)

5×10241-1

c214

name 名前Ignacio Santos
date 日付September 20, 2010 14:50:56 UTC 2010 年 9 月 20 日 (月) 23 時 50 分 56 秒 (日本時間)
composite number 合成数
1701440551165953306382883723986716180210256234757224734515612677607665601248881763871931898651656401388215067719807685849689218077987445377657557673902002946079911734718299726467778244465316961938638656649070511631<214>
prime factors 素因数
24771111459882069751848520790069279<35>
composite cofactor 合成数の残り
68686484008661172948703761740333261688094379389728492345659030929957397079798283183390414804461724983518887704730869036988083558574125907542353477804544085656528550127345216310289<179>
factorization results 素因数分解の結果
Step 1 took 11684ms
Step 2 took 7660ms
********** Factor found in step 2: 24771111459882069751848520790069279
Found probable prime factor of 35 digits: 24771111459882069751848520790069279
Composite cofactor 68686484008661172948703761740333261688094379389728492345659030929957397079798283183390414804461724983518887704730869036988083558574125907542353477804544085656528550127345216310289 has 179 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
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 22, 2010 20:05:37 UTC 2010 年 9 月 23 日 (木) 5 時 5 分 37 秒 (日本時間)
403e6110Ignacio SantosSeptember 22, 2010 20:05:37 UTC 2010 年 9 月 23 日 (木) 5 時 5 分 37 秒 (日本時間)
4511e663232Ignacio SantosSeptember 22, 2010 20:05:37 UTC 2010 年 9 月 23 日 (木) 5 時 5 分 37 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 07:01:54 UTC 2011 年 3 月 17 日 (木) 16 時 1 分 54 秒 (日本時間)
5043e61120560Dmitry DomanovOctober 25, 2011 21:29:44 UTC 2011 年 10 月 26 日 (水) 6 時 29 分 44 秒 (日本時間)
560Dmitry DomanovOctober 26, 2011 22:12:14 UTC 2011 年 10 月 27 日 (木) 7 時 12 分 14 秒 (日本時間)
5511e72620 / 17329yoyo@homeJanuary 12, 2012 18:00:04 UTC 2012 年 1 月 13 日 (金) 3 時 0 分 4 秒 (日本時間)

5×10242-1

c218

composite cofactor 合成数の残り
14135012352185399391201858831031956491118505741931977729656952923697966221455827334594091137507029017917779233763652964856106695837450811042854476838629949106203832598248165426761434128936422158348957648223278692138959<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 21, 2010 04:37:59 UTC 2010 年 9 月 21 日 (火) 13 時 37 分 59 秒 (日本時間)
403e6110Ignacio SantosSeptember 21, 2010 04:37:59 UTC 2010 年 9 月 21 日 (火) 13 時 37 分 59 秒 (日本時間)
4511e663232Ignacio SantosSeptember 21, 2010 04:37:59 UTC 2010 年 9 月 21 日 (火) 13 時 37 分 59 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 07:02:46 UTC 2011 年 3 月 17 日 (木) 16 時 2 分 46 秒 (日本時間)
5043e61120800Dmitry DomanovOctober 25, 2011 21:30:22 UTC 2011 年 10 月 26 日 (水) 6 時 30 分 22 秒 (日本時間)
320Dmitry DomanovOctober 26, 2011 22:13:31 UTC 2011 年 10 月 27 日 (木) 7 時 13 分 31 秒 (日本時間)
5511e72620 / 17329yoyo@homeJanuary 18, 2012 12:45:04 UTC 2012 年 1 月 18 日 (水) 21 時 45 分 4 秒 (日本時間)

5×10246-1

c247

name 名前Dmitry Domanov
date 日付February 22, 2010 02:36:37 UTC 2010 年 2 月 22 日 (月) 11 時 36 分 37 秒 (日本時間)
composite number 合成数
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<247>
prime factors 素因数
58930429401730153100681299441519307165466512611<47>
84845809724461362218165130586126185531399732821311034367560252283968350458879284749501409247653423973356433519951891027006864486811560455329257878845231262477127557316889330342370345671140710102771509<200>
factorization results 素因数分解の結果
Factor=58930429401730153100681299441519307165466512611  Method=ECM  B1=11000000  Sigma=2749045811
software ソフトウェア
ECMNET/GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e60 / 1628--
4511e6200 / 447510Lionel DebrouxFebruary 17, 2010 13:01:30 UTC 2010 年 2 月 17 日 (水) 22 時 1 分 30 秒 (日本時間)
190Lionel DebrouxFebruary 18, 2010 12:14:52 UTC 2010 年 2 月 18 日 (木) 21 時 14 分 52 秒 (日本時間)

5×10247-1

c221

name 名前Ignacio Santos
date 日付September 21, 2010 04:35:59 UTC 2010 年 9 月 21 日 (火) 13 時 35 分 59 秒 (日本時間)
composite number 合成数
53538091774870362354515313038884199777164128019879213735368055544707741949823485528570854311160098528192572014057744851230420143519635849383058933929071027603050803152264821467477989597927753180389547534065631321848422489<221>
prime factors 素因数
6797785463025725173887190631272412879<37>
composite cofactor 合成数の残り
7875813684629040149803138237926562513866874651706541240549375273634108561338882834494669774049203001173621702126482789082589182355743426201305976728575338656631502624264493260143509591<184>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2762950941
Step 1 took 125830ms
Step 2 took 56706ms
********** Factor found in step 2: 6797785463025725173887190631272412879
Found probable prime factor of 37 digits: 6797785463025725173887190631272412879
Composite cofactor 7875813684629040149803138237926562513866874651706541240549375273634108561338882834494669774049203001173621702126482789082589182355743426201305976728575338656631502624264493260143509591 has 184 digits
software ソフトウェア
GMP-ECM 6.3

c184

name 名前Dmitry Domanov
date 日付March 17, 2011 17:53:52 UTC 2011 年 3 月 18 日 (金) 2 時 53 分 52 秒 (日本時間)
composite number 合成数
7875813684629040149803138237926562513866874651706541240549375273634108561338882834494669774049203001173621702126482789082589182355743426201305976728575338656631502624264493260143509591<184>
prime factors 素因数
6444224421774218716692167479927125409<37>
1222150746025799862132186343332481842357590604908111367945092773137682768169311767654192798992307347389925681556198396431678919601432890642165514999<148>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1739591430
Step 1 took 85801ms
Step 2 took 40869ms
********** Factor found in step 2: 6444224421774218716692167479927125409
Found probable prime factor of 37 digits: 6444224421774218716692167479927125409
Probable prime cofactor 1222150746025799862132186343332481842357590604908111367945092773137682768169311767654192798992307347389925681556198396431678919601432890642165514999 has 148 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 22, 2010 21:19:17 UTC 2010 年 9 月 23 日 (木) 6 時 19 分 17 秒 (日本時間)
403e6110Ignacio SantosSeptember 22, 2010 21:19:17 UTC 2010 年 9 月 23 日 (木) 6 時 19 分 17 秒 (日本時間)
4511e6632 / 443732Ignacio SantosSeptember 22, 2010 21:19:17 UTC 2010 年 9 月 23 日 (木) 6 時 19 分 17 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 07:03:19 UTC 2011 年 3 月 17 日 (木) 16 時 3 分 19 秒 (日本時間)

5×10248-1

c247

composite cofactor 合成数の残り
1246882793017456359102244389027431421446384039900249376558603491271820448877805486284289276807980049875311720698254364089775561097256857855361596009975062344139650872817955112219451371571072319201995012468827930174563591022443890274314214463840399<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e61794Wataru SakaiFebruary 19, 2010 09:31:00 UTC 2010 年 2 月 19 日 (金) 18 時 31 分 0 秒 (日本時間)
4511e6749Dmitry DomanovMarch 23, 2010 21:49:18 UTC 2010 年 3 月 24 日 (水) 6 時 49 分 18 秒 (日本時間)
5043e6120Dmitry DomanovApril 13, 2011 06:12:54 UTC 2011 年 4 月 13 日 (水) 15 時 12 分 54 秒 (日本時間)
5511e73400 / 17666100Dmitry DomanovMarch 13, 2011 11:49:01 UTC 2011 年 3 月 13 日 (日) 20 時 49 分 1 秒 (日本時間)
300Dmitry DomanovApril 9, 2011 18:51:57 UTC 2011 年 4 月 10 日 (日) 3 時 51 分 57 秒 (日本時間)
3000yoyo@homeMay 25, 2011 20:30:51 UTC 2011 年 5 月 26 日 (木) 5 時 30 分 51 秒 (日本時間)

5×10249-1

c207

composite cofactor 合成数の残り
235241054550401971978237896515155994787634316184247420487095416376554003673041959185633873329023669439790681116334334380256794250219808534119974411608929919161930199234920382928138825441136188796489687584577<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 21, 2010 04:38:44 UTC 2010 年 9 月 21 日 (火) 13 時 38 分 44 秒 (日本時間)
403e6110Ignacio SantosSeptember 21, 2010 04:38:44 UTC 2010 年 9 月 21 日 (火) 13 時 38 分 44 秒 (日本時間)
4511e663232Ignacio SantosSeptember 21, 2010 04:38:44 UTC 2010 年 9 月 21 日 (火) 13 時 38 分 44 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 07:03:58 UTC 2011 年 3 月 17 日 (木) 16 時 3 分 58 秒 (日本時間)
5043e61100800Dmitry DomanovOctober 11, 2011 22:57:21 UTC 2011 年 10 月 12 日 (水) 7 時 57 分 21 秒 (日本時間)
300Dmitry DomanovOctober 27, 2011 22:26:10 UTC 2011 年 10 月 28 日 (金) 7 時 26 分 10 秒 (日本時間)
5511e72630 / 17336yoyo@homeJanuary 18, 2012 19:45:04 UTC 2012 年 1 月 19 日 (木) 4 時 45 分 4 秒 (日本時間)

5×10251-1

c226

name 名前bbmz
date 日付January 21, 2012 02:11:28 UTC 2012 年 1 月 21 日 (土) 11 時 11 分 28 秒 (日本時間)
composite number 合成数
1350483535571112121259430569909467387271431744594985183238951833912921830675889370789562744848113454934017132411123269086311719014574551857548985061689821649614703639852662128764751878705619950411877696886340032853301146402553<226>
prime factors 素因数
31659415979788077458312286878799382781668758983<47>
42656615536852743284362884719890969938267657730814498638741442838185624334434215076459259854096941166380573364544168307701010064040405860765539263074481103760218989750064898409791<179>
factorization results 素因数分解の結果
GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on server
Input number is 1350483535571112121259430569909467387271431744594985183238951833912921830675889370789562744848113454934017132411123269086311719014574551857548985061689821649614703639852662128764751878705619950411877696886340032853301146402553 (226 digits)
[Fri Jan 20 00:21:25 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1819184575
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 1299090ms
Using 27 small primes for NTT
Estimated memory usage: 610M
Initializing tables of differences for F took 790ms
Computing roots of F took 33430ms
Building F from its roots took 42900ms
Computing 1/F took 25620ms
Initializing table of differences for G took 680ms
Computing roots of G took 27300ms
Building G from its roots took 47550ms
Computing roots of G took 25980ms
Building G from its roots took 48510ms
Computing G * H took 13070ms
Reducing  G * H mod F took 13570ms
Computing roots of G took 29040ms
Building G from its roots took 48300ms
Computing G * H took 13110ms
Reducing  G * H mod F took 13620ms
Computing roots of G took 28920ms
Building G from its roots took 48970ms
Computing G * H took 13300ms
Reducing  G * H mod F took 13770ms
Computing polyeval(F,G) took 92060ms
Computing product of all F(g_i) took 150ms
Step 2 took 581070ms
********** Factor found in step 2: 31659415979788077458312286878799382781668758983
Found probable prime factor of 47 digits: 31659415979788077458312286878799382781668758983
Probable prime cofactor 42656615536852743284362884719890969938267657730814498638741442838185624334434215076459259854096941166380573364544168307701010064040405860765539263074481103760218989750064898409791 has 179 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
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 21, 2010 04:40:26 UTC 2010 年 9 月 21 日 (火) 13 時 40 分 26 秒 (日本時間)
403e6110Ignacio SantosSeptember 21, 2010 04:40:26 UTC 2010 年 9 月 21 日 (火) 13 時 40 分 26 秒 (日本時間)
4511e663232Ignacio SantosSeptember 21, 2010 04:40:26 UTC 2010 年 9 月 21 日 (火) 13 時 40 分 26 秒 (日本時間)
600Dmitry DomanovMarch 14, 2011 12:38:28 UTC 2011 年 3 月 14 日 (月) 21 時 38 分 28 秒 (日本時間)
5043e61092 / 4584640Dmitry DomanovOctober 11, 2011 22:56:40 UTC 2011 年 10 月 12 日 (水) 7 時 56 分 40 秒 (日本時間)
320Dmitry DomanovOctober 26, 2011 22:14:19 UTC 2011 年 10 月 27 日 (木) 7 時 14 分 19 秒 (日本時間)
132Dmitry DomanovOctober 27, 2011 22:27:34 UTC 2011 年 10 月 28 日 (金) 7 時 27 分 34 秒 (日本時間)
5511e71170 / 17339yoyo@homeJanuary 18, 2012 22:17:36 UTC 2012 年 1 月 19 日 (木) 7 時 17 分 36 秒 (日本時間)

5×10252-1

c244

name 名前Wataru Sakai
date 日付February 17, 2010 05:49:15 UTC 2010 年 2 月 17 日 (水) 14 時 49 分 15 秒 (日本時間)
composite number 合成数
3737528533498177677141549599467792082953124210902608588530056108249273469864059636262422460027691094752747720533859695357084107732738056466131085655035165662203506187626867089013022161617881438028664674590370180441351872472530434169725516704331<244>
prime factors 素因数
6563250056485602277363426735241<31>
569463071090041234434700106028665339438468947321698050512940662775358034080081422533581465052956809089036696292265014929059901900620994821496488399320686094168717959659764387351497456632454316362832614142540061491<213>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=507066655
Step 1 took 107875ms
********** Factor found in step 1: 6563250056485602277363426735241
Found probable prime factor of 31 digits: 6563250056485602277363426735241
Probable prime cofactor 569463071090041234434700106028665339438468947321698050512940662775358034080081422533581465052956809089036696292265014929059901900620994821496488399320686094168717959659764387351497456632454316362832614142540061491 has 213 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)

5×10253-1

c245

name 名前nenym
date 日付September 21, 2010 07:44:39 UTC 2010 年 9 月 21 日 (火) 16 時 44 分 39 秒 (日本時間)
composite number 合成数
30827222541894012012459838055561445781471574226417469617834694026693123065846495422403145492398111425453353658428126174349555823590308984402079547463968912630226341649447448454866268237844952080935274700526156753130578896871775593904306645051169<245>
prime factors 素因数
1154281424229612803825531588437765022029216434433<49>
26706851461694992127836629096338493624748434732844941827709174443517046457820604063648797470783052696098718135400781983910932873170423876153548653062432886051276341246406047118330034278230852943393<197>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 30827222541894012012459838055561445781471574226417469617834694026693123065846495422403145492398111425453353658428126174349555823590308984402079547463968912630226341649447448454866268237844952080935274700526156753130578896871775593904306645051169 (245 digits)
[Tue Sep 21 08:37:49 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4209279447
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20      25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 512853ms
Using 29 small primes for NTT
Estimated memory usage: 654M
Initializing tables of differences for F took 327ms
Computing roots of F took 20639ms
Building F from its roots took 15273ms
Computing 1/F took 7083ms
Initializing table of differences for G took 297ms
Computing roots of G took 17628ms
Building G from its roots took 13697ms
Computing roots of G took 18829ms
Building G from its roots took 13697ms
Computing G * H took 3885ms
Reducing  G * H mod F took 3713ms
Computing roots of G took 17425ms
Building G from its roots took 13681ms
Computing G * H took 3853ms
Reducing  G * H mod F took 3713ms
Computing roots of G took 18767ms
Building G from its roots took 13697ms
Computing G * H took 3900ms
Reducing  G * H mod F took 3713ms
Computing polyeval(F,G) took 26302ms
Computing product of all F(g_i) took 109ms
Step 2 took 220835ms
********** Factor found in step 2: 1154281424229612803825531588437765022029216434433
Found probable prime factor of 49 digits: 1154281424229612803825531588437765022029216434433
Probable prime cofactor 26706851461694992127836629096338493624748434732844941827709174443517046457820604063648797470783052696098718135400781983910932873170423876153548653062432886051276341246406047118330034278230852943393 has 197 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
786Wataru SakaiFebruary 17, 2010 05:51:32 UTC 2010 年 2 月 17 日 (水) 14 時 51 分 32 秒 (日本時間)
403e60--
4511e63111786Dmitry DomanovMarch 26, 2010 08:55:24 UTC 2010 年 3 月 26 日 (金) 17 時 55 分 24 秒 (日本時間)
2325Ignacio SantosMarch 31, 2010 08:42:42 UTC 2010 年 3 月 31 日 (水) 17 時 42 分 42 秒 (日本時間)
5043e6637 / 5753Ignacio SantosMarch 31, 2010 08:42:42 UTC 2010 年 3 月 31 日 (水) 17 時 42 分 42 秒 (日本時間)
5511e7455 / 17347yoyo@homeSeptember 20, 2010 22:51:46 UTC 2010 年 9 月 21 日 (火) 7 時 51 分 46 秒 (日本時間)

5×10254-1

c226

composite cofactor 合成数の残り
2525919220410231504278491100257123244022059151503034160323813553029886948358968630391852582830424999753431035915490369293371145199981384532416163468542213712873035342731787414939535744817102023638894712441932672022546824858249<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 21, 2010 13:16:48 UTC 2010 年 9 月 21 日 (火) 22 時 16 分 48 秒 (日本時間)
403e6110Ignacio SantosSeptember 21, 2010 13:16:48 UTC 2010 年 9 月 21 日 (火) 22 時 16 分 48 秒 (日本時間)
4511e663232Ignacio SantosSeptember 21, 2010 13:16:48 UTC 2010 年 9 月 21 日 (火) 22 時 16 分 48 秒 (日本時間)
600Dmitry DomanovMarch 14, 2011 12:39:08 UTC 2011 年 3 月 14 日 (月) 21 時 39 分 8 秒 (日本時間)
5043e61120800Dmitry DomanovOctober 10, 2011 22:42:26 UTC 2011 年 10 月 11 日 (火) 7 時 42 分 26 秒 (日本時間)
320Dmitry DomanovOctober 11, 2011 22:56:04 UTC 2011 年 10 月 12 日 (水) 7 時 56 分 4 秒 (日本時間)
5511e72620 / 17329yoyo@homeJanuary 20, 2012 16:30:05 UTC 2012 年 1 月 21 日 (土) 1 時 30 分 5 秒 (日本時間)

5×10255-1

c187

composite cofactor 合成数の残り
2354714976365288705472274129562633774669198188902243051885189973400058103599557704805299423434433936023944272309143875527903737738750784695400329532205728896988908237899739892778425959167<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 21, 2010 13:17:40 UTC 2010 年 9 月 21 日 (火) 22 時 17 分 40 秒 (日本時間)
403e6110Ignacio SantosSeptember 21, 2010 13:17:40 UTC 2010 年 9 月 21 日 (火) 22 時 17 分 40 秒 (日本時間)
4511e663232Ignacio SantosSeptember 21, 2010 13:17:40 UTC 2010 年 9 月 21 日 (火) 22 時 17 分 40 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 07:04:51 UTC 2011 年 3 月 17 日 (木) 16 時 4 分 51 秒 (日本時間)
5043e61085480Dmitry DomanovOctober 11, 2011 22:55:33 UTC 2011 年 10 月 12 日 (水) 7 時 55 分 33 秒 (日本時間)
480Dmitry DomanovOctober 27, 2011 22:24:21 UTC 2011 年 10 月 28 日 (金) 7 時 24 分 21 秒 (日本時間)
125Dmitry DomanovOctober 28, 2011 06:26:16 UTC 2011 年 10 月 28 日 (金) 15 時 26 分 16 秒 (日本時間)
5511e72635 / 17342yoyo@homeJanuary 22, 2012 16:05:05 UTC 2012 年 1 月 23 日 (月) 1 時 5 分 5 秒 (日本時間)

5×10256-1

c221

name 名前Dmitry Domanov
date 日付March 14, 2011 17:32:12 UTC 2011 年 3 月 15 日 (火) 2 時 32 分 12 秒 (日本時間)
composite number 合成数
39417145884918963024468102545389317418885295939477566349989579680531261696690378913311397001727666826924328248376161461613928647640793671620628812904455549390213403730768532918430267871990887624442868524187422688017200909<221>
prime factors 素因数
4474563115550753206715869546223274629<37>
composite cofactor 合成数の残り
8809160775479929615183643508450521035541361498928406361400894340271692298221341657341488745556272737178013020673266531850189162081828314596703563026652702798613429966585795963190105321<184>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3335501762
Step 1 took 148992ms
Step 2 took 55248ms
********** Factor found in step 2: 4474563115550753206715869546223274629
Found probable prime factor of 37 digits: 4474563115550753206715869546223274629
Composite cofactor 8809160775479929615183643508450521035541361498928406361400894340271692298221341657341488745556272737178013020673266531850189162081828314596703563026652702798613429966585795963190105321 has 184 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 21, 2010 13:18:11 UTC 2010 年 9 月 21 日 (火) 22 時 18 分 11 秒 (日本時間)
403e6110Ignacio SantosSeptember 21, 2010 13:18:11 UTC 2010 年 9 月 21 日 (火) 22 時 18 分 11 秒 (日本時間)
4511e663232Ignacio SantosSeptember 21, 2010 13:18:11 UTC 2010 年 9 月 21 日 (火) 22 時 18 分 11 秒 (日本時間)
600Dmitry DomanovMarch 14, 2011 12:39:58 UTC 2011 年 3 月 14 日 (月) 21 時 39 分 58 秒 (日本時間)
5043e61080400Dmitry DomanovOctober 11, 2011 22:54:48 UTC 2011 年 10 月 12 日 (水) 7 時 54 分 48 秒 (日本時間)
480Dmitry DomanovOctober 27, 2011 22:25:22 UTC 2011 年 10 月 28 日 (金) 7 時 25 分 22 秒 (日本時間)
200Dmitry DomanovOctober 28, 2011 06:27:12 UTC 2011 年 10 月 28 日 (金) 15 時 27 分 12 秒 (日本時間)
5511e72636 / 173411Dmitry DomanovOctober 28, 2011 06:27:12 UTC 2011 年 10 月 28 日 (金) 15 時 27 分 12 秒 (日本時間)
2635yoyo@homeJanuary 22, 2012 18:25:05 UTC 2012 年 1 月 23 日 (月) 3 時 25 分 5 秒 (日本時間)
6026e71 / 40885Dmitry DomanovOctober 28, 2011 06:27:12 UTC 2011 年 10 月 28 日 (金) 15 時 27 分 12 秒 (日本時間)

5×10258-1

c249

name 名前Wataru Sakai
date 日付February 17, 2010 05:48:30 UTC 2010 年 2 月 17 日 (水) 14 時 48 分 30 秒 (日本時間)
composite number 合成数
479376174622211865272272219245589662565194137478928431810226328696892652888910982420636092911309945395131454669309608006536496629470019205279322717199024386149889602528860267102032631383372889596881521304347603531356842783552287942488821547547092559<249>
prime factors 素因数
11721584125896675342500506911851<32>
40896876179314256708197688730526378700307486382117075718756240561425595787321194706560407846097028792484350330966187710540072020452048475447430346837444745243006926659151784597045151359550780184019874821304763207220909<218>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=368619935
Step 1 took 35575ms
Step 2 took 12461ms
********** Factor found in step 2: 11721584125896675342500506911851
Found probable prime factor of 32 digits: 11721584125896675342500506911851
Probable prime cofactor 40896876179314256708197688730526378700307486382117075718756240561425595787321194706560407846097028792484350330966187710540072020452048475447430346837444745243006926659151784597045151359550780184019874821304763207220909 has 218 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)

5×10259-1

c253

composite cofactor 合成数の残り
1744300663291258824460663107060674417106175197628393000567979181980899698420881120921096803698112767851757328844945381236620559799807310594327541220179479467889221418491115038268386682013256475724933972114842104334088278289076878760952071397156573625553<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiFebruary 25, 2010 05:52:46 UTC 2010 年 2 月 25 日 (木) 14 時 52 分 46 秒 (日本時間)
4511e60--
5043e67475yoyo@homeMarch 7, 2010 13:05:09 UTC 2010 年 3 月 7 日 (日) 22 時 5 分 9 秒 (日本時間)
5511e70 / 6179--
6026e73830 / 411392500Serge BatalovJanuary 6, 2014 08:47:55 UTC 2014 年 1 月 6 日 (月) 17 時 47 分 55 秒 (日本時間)
1330Serge BatalovJanuary 6, 2014 08:51:38 UTC 2014 年 1 月 6 日 (月) 17 時 51 分 38 秒 (日本時間)

5×10260-1

c240

composite cofactor 合成数の残り
949910108433763141626427011905933734472127348340534238738503562146273666055673483535052585766945749303806624296849358099441833063032017616444226302571950064914070462390153540702140200578026064523609498028624377527702737392750248075760726829<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 21, 2010 13:19:23 UTC 2010 年 9 月 21 日 (火) 22 時 19 分 23 秒 (日本時間)
403e6110Ignacio SantosSeptember 21, 2010 13:19:23 UTC 2010 年 9 月 21 日 (火) 22 時 19 分 23 秒 (日本時間)
4511e663232Ignacio SantosSeptember 21, 2010 13:19:23 UTC 2010 年 9 月 21 日 (火) 22 時 19 分 23 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 07:05:45 UTC 2011 年 3 月 17 日 (木) 16 時 5 分 45 秒 (日本時間)
5043e61120800Dmitry DomanovOctober 9, 2011 21:42:37 UTC 2011 年 10 月 10 日 (月) 6 時 42 分 37 秒 (日本時間)
320Dmitry DomanovOctober 11, 2011 22:54:09 UTC 2011 年 10 月 12 日 (水) 7 時 54 分 9 秒 (日本時間)
5511e72620 / 17329yoyo@homeJanuary 22, 2012 20:45:05 UTC 2012 年 1 月 23 日 (月) 5 時 45 分 5 秒 (日本時間)

5×10261-1

c262

name 名前NFS@home + Dmitry Domanov
date 日付February 6, 2024 22:13:31 UTC 2024 年 2 月 7 日 (水) 7 時 13 分 31 秒 (日本時間)
composite number 合成数
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<262>
prime factors 素因数
113698069763224668441418917753548078179029210350369741917532633596794622588331183893056759545165527874097256881474110329<120>
43976120354659146612026798097328326960551803227692600806060100248339479031211430178642452342456158830386446137151012230371188980878145277266231<143>
factorization results 素因数分解の結果
Sieving by NFS@home, filtering, linear algebra and square root by Dmitry Domanov
----------
Mon Feb  5 17:32:04 2024  
Mon Feb  5 17:32:04 2024  
Mon Feb  5 17:32:04 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb  5 17:32:04 2024  random seeds: 25397041 3c8e7b0a
Mon Feb  5 17:32:04 2024  Using 32 OpenMP threads
Mon Feb  5 17:32:04 2024  factoring 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (262 digits)
Mon Feb  5 17:32:05 2024  searching for 15-digit factors
Mon Feb  5 17:32:06 2024  commencing number field sieve (262-digit input)
Mon Feb  5 17:32:06 2024  R0: -50000000000000000000000000000000000000000000
Mon Feb  5 17:32:06 2024  R1: 1
Mon Feb  5 17:32:06 2024  A0: -25
Mon Feb  5 17:32:06 2024  A1: 0
Mon Feb  5 17:32:06 2024  A2: 0
Mon Feb  5 17:32:06 2024  A3: 0
Mon Feb  5 17:32:06 2024  A4: 0
Mon Feb  5 17:32:06 2024  A5: 0
Mon Feb  5 17:32:06 2024  A6: 8
Mon Feb  5 17:32:06 2024  skew 1.00, size 4.428e-13, alpha 1.566, combined = 6.311e-14 rroots = 2
Mon Feb  5 17:32:06 2024  
Mon Feb  5 17:32:06 2024  commencing relation filtering
Mon Feb  5 17:32:06 2024  setting target matrix density to 120.0
Mon Feb  5 17:32:06 2024  estimated available RAM is 257736.5 MB
Mon Feb  5 17:32:06 2024  commencing duplicate removal, pass 1
Mon Feb  5 17:32:56 2024  error -1 reading relation 15113474
Mon Feb  5 17:34:05 2024  error -1 reading relation 37803165
Mon Feb  5 17:34:29 2024  error -11 reading relation 45646855
Mon Feb  5 17:34:32 2024  error -1 reading relation 46680868
Mon Feb  5 17:35:11 2024  error -5 reading relation 59605474
Mon Feb  5 17:35:12 2024  error -1 reading relation 60117212
Mon Feb  5 17:35:48 2024  error -1 reading relation 72636521
Mon Feb  5 17:36:02 2024  error -1 reading relation 77404378
Mon Feb  5 17:36:17 2024  error -1 reading relation 82208573
Mon Feb  5 17:36:25 2024  error -1 reading relation 84693333
Mon Feb  5 17:36:27 2024  error -1 reading relation 85518200
Mon Feb  5 17:36:45 2024  error -1 reading relation 91457469
Mon Feb  5 17:37:08 2024  error -1 reading relation 99054383
Mon Feb  5 17:37:09 2024  error -1 reading relation 99448876
Mon Feb  5 17:37:26 2024  error -1 reading relation 104596573
Mon Feb  5 17:38:01 2024  error -1 reading relation 115746797
Mon Feb  5 17:38:05 2024  error -1 reading relation 116916171
Mon Feb  5 17:38:09 2024  error -1 reading relation 118309267
Mon Feb  5 17:38:15 2024  error -1 reading relation 120351764
Mon Feb  5 17:38:43 2024  error -1 reading relation 129362827
Mon Feb  5 17:39:00 2024  error -5 reading relation 135490345
Mon Feb  5 17:39:01 2024  error -15 reading relation 135533932
Mon Feb  5 17:39:02 2024  error -1 reading relation 135882752
Mon Feb  5 17:39:19 2024  error -1 reading relation 141243052
Mon Feb  5 17:40:21 2024  error -1 reading relation 166170309
Mon Feb  5 17:40:27 2024  error -1 reading relation 169721104
Mon Feb  5 17:40:30 2024  error -1 reading relation 170989126
Mon Feb  5 17:40:56 2024  error -15 reading relation 186130757
Mon Feb  5 17:41:08 2024  error -1 reading relation 190104379
Mon Feb  5 17:41:24 2024  error -1 reading relation 195352423
Mon Feb  5 17:41:29 2024  error -1 reading relation 196971436
Mon Feb  5 17:41:38 2024  error -1 reading relation 199783901
Mon Feb  5 17:41:41 2024  error -1 reading relation 200701945
Mon Feb  5 17:42:01 2024  error -1 reading relation 207251898
Mon Feb  5 17:42:01 2024  error -1 reading relation 207328258
Mon Feb  5 17:42:18 2024  error -1 reading relation 212413374
Mon Feb  5 17:42:30 2024  error -1 reading relation 216489121
Mon Feb  5 17:42:34 2024  error -1 reading relation 217513391
Mon Feb  5 17:42:47 2024  error -1 reading relation 221768789
Mon Feb  5 17:43:20 2024  error -1 reading relation 232952534
Mon Feb  5 17:43:22 2024  skipped 651 relations with b > 2^32
Mon Feb  5 17:43:22 2024  skipped 1 relations with composite factors
Mon Feb  5 17:43:22 2024  skipped 361 malformed relations
Mon Feb  5 17:43:22 2024  found 51972342 hash collisions in 233443897 relations
Mon Feb  5 17:43:40 2024  added 1218879 free relations
Mon Feb  5 17:43:40 2024  commencing duplicate removal, pass 2
Mon Feb  5 17:49:57 2024  found 55663398 duplicates and 178999378 unique relations
Mon Feb  5 17:49:57 2024  memory use: 1449.5 MB
Mon Feb  5 17:49:57 2024  reading ideals above 720000
Mon Feb  5 17:49:57 2024  commencing singleton removal, initial pass
Mon Feb  5 18:10:42 2024  memory use: 5512.0 MB
Mon Feb  5 18:10:42 2024  reading all ideals from disk
Mon Feb  5 18:10:46 2024  memory use: 8835.8 MB
Mon Feb  5 18:11:07 2024  keeping 177215790 ideals with weight <= 200, target excess is 947597
Mon Feb  5 18:11:32 2024  commencing in-memory singleton removal
Mon Feb  5 18:11:34 2024  begin with 178999378 relations and 177215790 unique ideals
Mon Feb  5 18:11:46 2024  reduce to 108316171 relations and 98770597 ideals in 17 passes
Mon Feb  5 18:11:46 2024  max relations containing the same ideal: 150
Mon Feb  5 18:12:58 2024  removing 7969588 relations and 6969588 ideals in 1000000 cliques
Mon Feb  5 18:13:04 2024  commencing in-memory singleton removal
Mon Feb  5 18:13:07 2024  begin with 100346583 relations and 98770597 unique ideals
Mon Feb  5 18:13:21 2024  reduce to 99844931 relations and 91292719 ideals in 10 passes
Mon Feb  5 18:13:21 2024  max relations containing the same ideal: 144
Mon Feb  5 18:14:28 2024  removing 5975967 relations and 4975967 ideals in 1000000 cliques
Mon Feb  5 18:14:33 2024  commencing in-memory singleton removal
Mon Feb  5 18:14:37 2024  begin with 93868964 relations and 91292719 unique ideals
Mon Feb  5 18:14:48 2024  reduce to 93558227 relations and 86002580 ideals in 9 passes
Mon Feb  5 18:14:48 2024  max relations containing the same ideal: 138
Mon Feb  5 18:15:50 2024  removing 5350082 relations and 4350082 ideals in 1000000 cliques
Mon Feb  5 18:15:55 2024  commencing in-memory singleton removal
Mon Feb  5 18:15:58 2024  begin with 88208145 relations and 86002580 unique ideals
Mon Feb  5 18:16:08 2024  reduce to 87942675 relations and 81384109 ideals in 8 passes
Mon Feb  5 18:16:08 2024  max relations containing the same ideal: 132
Mon Feb  5 18:17:03 2024  removing 5020957 relations and 4020957 ideals in 1000000 cliques
Mon Feb  5 18:17:07 2024  commencing in-memory singleton removal
Mon Feb  5 18:17:09 2024  begin with 82921718 relations and 81384109 unique ideals
Mon Feb  5 18:17:18 2024  reduce to 82675760 relations and 77114432 ideals in 7 passes
Mon Feb  5 18:17:18 2024  max relations containing the same ideal: 123
Mon Feb  5 18:18:08 2024  removing 4809834 relations and 3809834 ideals in 1000000 cliques
Mon Feb  5 18:18:11 2024  commencing in-memory singleton removal
Mon Feb  5 18:18:14 2024  begin with 77865926 relations and 77114432 unique ideals
Mon Feb  5 18:18:23 2024  reduce to 77627383 relations and 73063412 ideals in 8 passes
Mon Feb  5 18:18:23 2024  max relations containing the same ideal: 120
Mon Feb  5 18:19:14 2024  removing 4663996 relations and 3663996 ideals in 1000000 cliques
Mon Feb  5 18:19:18 2024  commencing in-memory singleton removal
Mon Feb  5 18:19:20 2024  begin with 72963387 relations and 73063412 unique ideals
Mon Feb  5 18:19:29 2024  reduce to 72728038 relations and 69161295 ideals in 9 passes
Mon Feb  5 18:19:29 2024  max relations containing the same ideal: 115
Mon Feb  5 18:20:13 2024  removing 4559476 relations and 3559476 ideals in 1000000 cliques
Mon Feb  5 18:20:16 2024  commencing in-memory singleton removal
Mon Feb  5 18:20:18 2024  begin with 68168562 relations and 69161295 unique ideals
Mon Feb  5 18:20:22 2024  reduce to 67931708 relations and 65362089 ideals in 8 passes
Mon Feb  5 18:20:22 2024  max relations containing the same ideal: 110
Mon Feb  5 18:20:52 2024  removing 4492115 relations and 3492115 ideals in 1000000 cliques
Mon Feb  5 18:20:56 2024  commencing in-memory singleton removal
Mon Feb  5 18:20:58 2024  begin with 63439593 relations and 65362089 unique ideals
Mon Feb  5 18:21:05 2024  reduce to 63197934 relations and 61625131 ideals in 8 passes
Mon Feb  5 18:21:05 2024  max relations containing the same ideal: 106
Mon Feb  5 18:21:49 2024  removing 2416542 relations and 1942952 ideals in 473590 cliques
Mon Feb  5 18:21:52 2024  commencing in-memory singleton removal
Mon Feb  5 18:21:54 2024  begin with 60781392 relations and 61625131 unique ideals
Mon Feb  5 18:22:00 2024  reduce to 60710836 relations and 59611160 ideals in 6 passes
Mon Feb  5 18:22:00 2024  max relations containing the same ideal: 103
Mon Feb  5 18:22:56 2024  relations with 0 large ideals: 35153
Mon Feb  5 18:22:56 2024  relations with 1 large ideals: 11627
Mon Feb  5 18:22:56 2024  relations with 2 large ideals: 126771
Mon Feb  5 18:22:56 2024  relations with 3 large ideals: 932780
Mon Feb  5 18:22:56 2024  relations with 4 large ideals: 3814517
Mon Feb  5 18:22:56 2024  relations with 5 large ideals: 9499024
Mon Feb  5 18:22:56 2024  relations with 6 large ideals: 15021828
Mon Feb  5 18:22:56 2024  relations with 7+ large ideals: 31269136
Mon Feb  5 18:22:56 2024  commencing 2-way merge
Mon Feb  5 18:23:58 2024  reduce to 39675878 relation sets and 38576202 unique ideals
Mon Feb  5 18:23:58 2024  commencing full merge
Mon Feb  5 18:50:19 2024  memory use: 5146.9 MB
Mon Feb  5 18:50:26 2024  found 17857263 cycles, need 17844402
Mon Feb  5 18:50:33 2024  weight of 17844402 cycles is about 2141416532 (120.00/cycle)
Mon Feb  5 18:50:33 2024  distribution of cycle lengths:
Mon Feb  5 18:50:33 2024  1 relations: 1077691
Mon Feb  5 18:50:33 2024  2 relations: 1344339
Mon Feb  5 18:50:33 2024  3 relations: 1446389
Mon Feb  5 18:50:33 2024  4 relations: 1406839
Mon Feb  5 18:50:33 2024  5 relations: 1348423
Mon Feb  5 18:50:33 2024  6 relations: 1263939
Mon Feb  5 18:50:33 2024  7 relations: 1180417
Mon Feb  5 18:50:33 2024  8 relations: 1093725
Mon Feb  5 18:50:33 2024  9 relations: 1010148
Mon Feb  5 18:50:33 2024  10+ relations: 6672492
Mon Feb  5 18:50:33 2024  heaviest cycle: 28 relations
Mon Feb  5 18:50:41 2024  commencing cycle optimization
Mon Feb  5 18:51:46 2024  start with 152729865 relations
Mon Feb  5 19:00:52 2024  pruned 6473059 relations
Mon Feb  5 19:00:53 2024  memory use: 4084.5 MB
Mon Feb  5 19:00:53 2024  distribution of cycle lengths:
Mon Feb  5 19:00:53 2024  1 relations: 1077691
Mon Feb  5 19:00:53 2024  2 relations: 1377847
Mon Feb  5 19:00:53 2024  3 relations: 1510107
Mon Feb  5 19:00:53 2024  4 relations: 1461829
Mon Feb  5 19:00:53 2024  5 relations: 1409202
Mon Feb  5 19:00:53 2024  6 relations: 1312576
Mon Feb  5 19:00:53 2024  7 relations: 1227613
Mon Feb  5 19:00:53 2024  8 relations: 1129563
Mon Feb  5 19:00:53 2024  9 relations: 1042232
Mon Feb  5 19:00:53 2024  10+ relations: 6295742
Mon Feb  5 19:00:53 2024  heaviest cycle: 28 relations
Mon Feb  5 19:01:42 2024  RelProcTime: 5376
Mon Feb  5 19:01:42 2024  elapsed time 01:29:38
Mon Feb  5 19:04:46 2024  
Mon Feb  5 19:04:46 2024  
Mon Feb  5 19:04:46 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb  5 19:04:46 2024  random seeds: 7d0e55ba 6dd33547
Mon Feb  5 19:04:46 2024  Using 32 OpenMP threads
Mon Feb  5 19:04:46 2024  factoring 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (262 digits)
Mon Feb  5 19:04:47 2024  searching for 15-digit factors
Mon Feb  5 19:04:48 2024  commencing number field sieve (262-digit input)
Mon Feb  5 19:04:48 2024  R0: -50000000000000000000000000000000000000000000
Mon Feb  5 19:04:48 2024  R1: 1
Mon Feb  5 19:04:48 2024  A0: -25
Mon Feb  5 19:04:48 2024  A1: 0
Mon Feb  5 19:04:48 2024  A2: 0
Mon Feb  5 19:04:48 2024  A3: 0
Mon Feb  5 19:04:48 2024  A4: 0
Mon Feb  5 19:04:48 2024  A5: 0
Mon Feb  5 19:04:48 2024  A6: 8
Mon Feb  5 19:04:48 2024  skew 1.00, size 4.428e-13, alpha 1.566, combined = 6.311e-14 rroots = 2
Mon Feb  5 19:04:48 2024  
Mon Feb  5 19:04:48 2024  commencing linear algebra
Mon Feb  5 19:04:48 2024  using VBITS=256
Mon Feb  5 19:04:51 2024  read 17844402 cycles
Mon Feb  5 19:05:54 2024  cycles contain 60055294 unique relations
Mon Feb  5 19:11:42 2024  read 60055294 relations
Mon Feb  5 19:11:52 2024  using 20 quadratic characters above 4294917295
Mon Feb  5 19:12:03 2024  building initial matrix
Mon Feb  5 19:31:48 2024  memory use: 7756.9 MB
Mon Feb  5 19:32:02 2024  read 17844402 cycles
Mon Feb  5 19:32:06 2024  matrix is 17844225 x 17844402 (8334.3 MB) with weight 2371506697 (132.90/col)
Mon Feb  5 19:32:06 2024  sparse part has weight 2006343683 (112.44/col)
Mon Feb  5 19:38:14 2024  filtering completed in 2 passes
Mon Feb  5 19:38:18 2024  matrix is 17844003 x 17844171 (8334.3 MB) with weight 2371499547 (132.90/col)
Mon Feb  5 19:38:18 2024  sparse part has weight 2006341303 (112.44/col)
Mon Feb  5 19:40:31 2024  matrix starts at (0, 0)
Mon Feb  5 19:40:36 2024  matrix is 17844003 x 17844171 (8334.3 MB) with weight 2371499547 (132.90/col)
Mon Feb  5 19:40:36 2024  sparse part has weight 2006341303 (112.44/col)
Mon Feb  5 19:40:36 2024  saving the first 240 matrix rows for later
Mon Feb  5 19:40:42 2024  matrix includes 256 packed rows
Mon Feb  5 19:40:55 2024  matrix is 17843763 x 17844171 (7724.0 MB) with weight 1830680041 (102.59/col)
Mon Feb  5 19:40:55 2024  sparse part has weight 1739295572 (97.47/col)
Mon Feb  5 19:40:55 2024  using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
Mon Feb  5 19:42:03 2024  commencing Lanczos iteration (32 threads)
Mon Feb  5 19:42:03 2024  memory use: 10652.6 MB
Mon Feb  5 19:42:45 2024  lanczos halted after 3 iterations (dim = 764)
Mon Feb  5 19:42:48 2024  BLanczosTime: 2280
Mon Feb  5 19:42:48 2024  elapsed time 00:38:02
Mon Feb  5 23:37:31 2024  
Mon Feb  5 23:37:31 2024  
Mon Feb  5 23:37:31 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb  5 23:37:31 2024  random seeds: a2591f6b 679c2fc6
Mon Feb  5 23:37:31 2024  Using 64 OpenMP threads
Mon Feb  5 23:37:31 2024  factoring 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (262 digits)
Mon Feb  5 23:37:32 2024  searching for 15-digit factors
Mon Feb  5 23:37:32 2024  commencing number field sieve (262-digit input)
Mon Feb  5 23:37:32 2024  R0: -50000000000000000000000000000000000000000000
Mon Feb  5 23:37:32 2024  R1: 1
Mon Feb  5 23:37:32 2024  A0: -25
Mon Feb  5 23:37:32 2024  A1: 0
Mon Feb  5 23:37:32 2024  A2: 0
Mon Feb  5 23:37:32 2024  A3: 0
Mon Feb  5 23:37:32 2024  A4: 0
Mon Feb  5 23:37:32 2024  A5: 0
Mon Feb  5 23:37:32 2024  A6: 8
Mon Feb  5 23:37:32 2024  skew 1.00, size 4.428e-13, alpha 1.566, combined = 6.311e-14 rroots = 2
Mon Feb  5 23:37:32 2024  
Mon Feb  5 23:37:32 2024  commencing linear algebra
Mon Feb  5 23:37:32 2024  using VBITS=256
Mon Feb  5 23:37:32 2024  skipping matrix build
Mon Feb  5 23:37:37 2024  matrix starts at (0, 0)
Mon Feb  5 23:37:39 2024  matrix is 17844003 x 17844171 (8334.3 MB) with weight 2371499547 (132.90/col)
Mon Feb  5 23:37:39 2024  sparse part has weight 2006341303 (112.44/col)
Mon Feb  5 23:37:39 2024  saving the first 240 matrix rows for later
Mon Feb  5 23:37:43 2024  matrix includes 256 packed rows
Mon Feb  5 23:37:49 2024  matrix is 17843763 x 17844171 (7724.0 MB) with weight 1830680041 (102.59/col)
Mon Feb  5 23:37:49 2024  sparse part has weight 1739295572 (97.47/col)
Mon Feb  5 23:37:49 2024  using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
Mon Feb  5 23:38:27 2024  commencing Lanczos iteration (64 threads)
Mon Feb  5 23:38:27 2024  memory use: 10655.5 MB
Mon Feb  5 23:41:06 2024  linear algebra at 0.2%, ETA 25h11m
Mon Feb  5 23:45:02 2024  checking every 10000 dimensions, checkpointing every 710000 dimensions
Wed Feb  7 00:43:22 2024  lanczos halted after 69912 iterations (dim = 17843763)
Wed Feb  7 00:44:25 2024  recovered 37 nontrivial dependencies
Wed Feb  7 00:44:28 2024  BLanczosTime: 90416
Wed Feb  7 00:44:28 2024  elapsed time 25:06:57
Wed Feb  7 00:45:39 2024  
Wed Feb  7 00:45:39 2024  
Wed Feb  7 00:45:39 2024  Msieve v. 1.54 (SVN Unversioned directory)
Wed Feb  7 00:45:39 2024  random seeds: eab78ec3 1a999914
Wed Feb  7 00:45:39 2024  Using 8 OpenMP threads
Wed Feb  7 00:45:39 2024  factoring 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (262 digits)
Wed Feb  7 00:45:40 2024  searching for 15-digit factors
Wed Feb  7 00:45:41 2024  commencing number field sieve (262-digit input)
Wed Feb  7 00:45:41 2024  R0: -50000000000000000000000000000000000000000000
Wed Feb  7 00:45:41 2024  R1: 1
Wed Feb  7 00:45:41 2024  A0: -25
Wed Feb  7 00:45:41 2024  A1: 0
Wed Feb  7 00:45:41 2024  A2: 0
Wed Feb  7 00:45:41 2024  A3: 0
Wed Feb  7 00:45:41 2024  A4: 0
Wed Feb  7 00:45:41 2024  A5: 0
Wed Feb  7 00:45:41 2024  A6: 8
Wed Feb  7 00:45:41 2024  skew 1.00, size 4.428e-13, alpha 1.566, combined = 6.311e-14 rroots = 2
Wed Feb  7 00:45:41 2024  
Wed Feb  7 00:45:41 2024  commencing square root phase
Wed Feb  7 00:45:41 2024  reading relations for dependency 1
Wed Feb  7 00:45:44 2024  read 8922716 cycles
Wed Feb  7 00:46:08 2024  cycles contain 30030600 unique relations
Wed Feb  7 00:51:26 2024  read 30030600 relations
Wed Feb  7 00:54:42 2024  multiplying 30030600 relations
Wed Feb  7 00:59:51 2024  multiply complete, coefficients have about 881.22 million bits
Wed Feb  7 00:59:53 2024  initial square root is modulo 80517211
Wed Feb  7 01:10:49 2024  sqrtTime: 1508
Wed Feb  7 01:10:49 2024  p120 factor: 113698069763224668441418917753548078179029210350369741917532633596794622588331183893056759545165527874097256881474110329
Wed Feb  7 01:10:49 2024  p143 factor: 43976120354659146612026798097328326960551803227692600806060100248339479031211430178642452342456158830386446137151012230371188980878145277266231
Wed Feb  7 01:10:49 2024  elapsed time 00:25:10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
800Markus TervoorenFebruary 19, 2010 03:33:15 UTC 2010 年 2 月 19 日 (金) 12 時 33 分 15 秒 (日本時間)
403e621001800Markus TervoorenFebruary 19, 2010 03:33:15 UTC 2010 年 2 月 19 日 (金) 12 時 33 分 15 秒 (日本時間)
300Markus TervoorenFebruary 19, 2010 11:09:27 UTC 2010 年 2 月 19 日 (金) 20 時 9 分 27 秒 (日本時間)
4511e63500800Markus TervoorenFebruary 19, 2010 11:09:27 UTC 2010 年 2 月 19 日 (金) 20 時 9 分 27 秒 (日本時間)
2700Dmitry DomanovMarch 7, 2010 23:53:02 UTC 2010 年 3 月 8 日 (月) 8 時 53 分 2 秒 (日本時間)
5043e67300yoyo@homeMarch 7, 2010 15:20:12 UTC 2010 年 3 月 8 日 (月) 0 時 20 分 12 秒 (日本時間)
5511e715544500Markus TervoorenJuly 7, 2010 00:44:27 UTC 2010 年 7 月 7 日 (水) 9 時 44 分 27 秒 (日本時間)
1500Markus TervoorenJuly 13, 2010 08:27:21 UTC 2010 年 7 月 13 日 (火) 17 時 27 分 21 秒 (日本時間)
1000Markus TervoorenJuly 22, 2010 01:55:20 UTC 2010 年 7 月 22 日 (木) 10 時 55 分 20 秒 (日本時間)
12544Dmitry DomanovJanuary 22, 2024 16:15:03 UTC 2024 年 1 月 23 日 (火) 1 時 15 分 3 秒 (日本時間)
6026e71832 / 3523140Youcef LemsaferJune 5, 2014 17:14:03 UTC 2014 年 6 月 6 日 (金) 2 時 14 分 3 秒 (日本時間)
1792Dmitry DomanovJanuary 22, 2024 16:15:03 UTC 2024 年 1 月 23 日 (火) 1 時 15 分 3 秒 (日本時間)

5×10264-1

c223

name 名前[TiDC] Chulma
date 日付January 23, 2012 01:48:50 UTC 2012 年 1 月 23 日 (月) 10 時 48 分 50 秒 (日本時間)
composite number 合成数
7783026354668267589423532334640658988676235650533259661294944164714438999784673089943774495553014289290725619719548912792558230131984794793237490210079595293702150589420362259382767217194507106582682921520557179887272474099<223>
prime factors 素因数
71574751298739459826382893837067971700745341219<47>
composite cofactor 合成数の残り
108739830924223393211788186268277239621051852781255845042932280921591587191862526037301320033047029637125669783181193970697772598068845854262466127146108982795507529635373921521<177>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 7783026354668267589423532334640658988676235650533259661294944164714438999784673089943774495553014289290725619719548912792558230131984794793237490210079595293702150589420362259382767217194507106582682921520557179887272474099 (223 digits)
[Mon Jan 23 01:18:36 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1672675337
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 499062ms
Using 27 small primes for NTT
Estimated memory usage: 784M
Initializing tables of differences for F took 297ms
Computing roots of F took 15381ms
Building F from its roots took 12292ms
Computing 1/F took 4914ms
Initializing table of differences for G took 249ms
Computing roots of G took 13089ms
Building G from its roots took 11996ms
Computing roots of G took 13338ms
Building G from its roots took 11841ms
Computing G * H took 2761ms
Reducing  G * H mod F took 2980ms
Computing roots of G took 13665ms
Building G from its roots took 11716ms
Computing G * H took 2808ms
Reducing  G * H mod F took 2886ms
Computing roots of G took 13260ms
Building G from its roots took 11763ms
Computing G * H took 2620ms
Reducing  G * H mod F took 2777ms
Computing polyeval(F,G) took 25007ms
Computing product of all F(g_i) took 93ms
Step 2 took 176281ms
********** Factor found in step 2: 71574751298739459826382893837067971700745341219
Found probable prime factor of 47 digits: 71574751298739459826382893837067971700745341219
Composite cofactor 108739830924223393211788186268277239621051852781255845042932280921591587191862526037301320033047029637125669783181193970697772598068845854262466127146108982795507529635373921521 has 177 digits
software ソフトウェア
GMP-ECM

c177

name 名前Serge Batalov
date 日付March 19, 2014 22:45:49 UTC 2014 年 3 月 20 日 (木) 7 時 45 分 49 秒 (日本時間)
composite number 合成数
108739830924223393211788186268277239621051852781255845042932280921591587191862526037301320033047029637125669783181193970697772598068845854262466127146108982795507529635373921521<177>
prime factors 素因数
96047343930453556960582240885311715778109782279501<50>
1132148235176188484312968821564706450614614389182354920791227378154757269713912545811549780696328878080522672041019997412052021<127>
factorization results 素因数分解の結果
Using B1=260000000, B2=7946151513316, polynomial Dickson(30), sigma=1213924942
Step 1 took 1767677ms
Step 2 took 918470ms
********** Factor found in step 2: 96047343930453556960582240885311715778109782279501
Found probable prime factor of 50 digits: 96047343930453556960582240885311715778109782279501
Probable prime cofactor 1132148235176188484312968821564706450614614389182354920791227378154757269713912545811549780696328878080522672041019997412052021 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 05:43:51 UTC 2010 年 9 月 23 日 (木) 14 時 43 分 51 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 05:43:51 UTC 2010 年 9 月 23 日 (木) 14 時 43 分 51 秒 (日本時間)
4511e663232Ignacio SantosSeptember 23, 2010 05:43:51 UTC 2010 年 9 月 23 日 (木) 14 時 43 分 51 秒 (日本時間)
600Dmitry DomanovMarch 14, 2011 12:40:33 UTC 2011 年 3 月 14 日 (月) 21 時 40 分 33 秒 (日本時間)
5043e61120 / 6863800Dmitry DomanovOctober 9, 2011 21:41:42 UTC 2011 年 10 月 10 日 (月) 6 時 41 分 42 秒 (日本時間)
320Dmitry DomanovOctober 11, 2011 22:53:36 UTC 2011 年 10 月 12 日 (水) 7 時 53 分 36 秒 (日本時間)
5511e7225 / 17329yoyo@homeJanuary 22, 2012 23:15:07 UTC 2012 年 1 月 23 日 (月) 8 時 15 分 7 秒 (日本時間)

5×10266-1

c239

name 名前Dmitry Domanov
date 日付March 17, 2011 20:48:10 UTC 2011 年 3 月 18 日 (金) 5 時 48 分 10 秒 (日本時間)
composite number 合成数
30766043568619153048368144200820294786909968358521366336876015694022758115427489458653939179094245274156973720693384687816581433348404945738512284945744853540775588608564924001295415316284017121532665747901410699565273558682319721544258859<239>
prime factors 素因数
42055974349658795815118333165599264049<38>
731549893787415269659021683715554821546414013514632748597895148643048786057012063701382541053119583906922523242736160772867039965193039229900936054692314510169570118435036921197085612238977098165649691<201>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1625519868
Step 1 took 177648ms
Step 2 took 63294ms
********** Factor found in step 2: 42055974349658795815118333165599264049
Found probable prime factor of 38 digits: 42055974349658795815118333165599264049
Probable prime cofactor 731549893787415269659021683715554821546414013514632748597895148643048786057012063701382541053119583906922523242736160772867039965193039229900936054692314510169570118435036921197085612238977098165649691 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 05:44:41 UTC 2010 年 9 月 23 日 (木) 14 時 44 分 41 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 05:44:41 UTC 2010 年 9 月 23 日 (木) 14 時 44 分 41 秒 (日本時間)
4511e6632 / 443732Ignacio SantosSeptember 23, 2010 05:44:41 UTC 2010 年 9 月 23 日 (木) 14 時 44 分 41 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 07:07:08 UTC 2011 年 3 月 17 日 (木) 16 時 7 分 8 秒 (日本時間)

5×10267-1

c212

name 名前Dmitry Domanov
date 日付March 17, 2011 17:52:51 UTC 2011 年 3 月 18 日 (金) 2 時 52 分 51 秒 (日本時間)
composite number 合成数
82201910795360890602803490821676836716070883395695122508736464383381950825023397043095051746857475401181322050140734804422156551995985348034631919522832876610553583165029494549410034948692527798678875764119497551<212>
prime factors 素因数
15771087553948236103510972548373095484103<41>
composite cofactor 合成数の残り
5212190377751211733967811401928501020658186271805566745682451270726955715429170047476880921247783137315403029259322867449684598539804054589832337134931132440272438839202617<172>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3202207193
Step 1 took 108824ms
Step 2 took 45314ms
********** Factor found in step 2: 15771087553948236103510972548373095484103
Found probable prime factor of 41 digits: 15771087553948236103510972548373095484103
Composite cofactor 5212190377751211733967811401928501020658186271805566745682451270726955715429170047476880921247783137315403029259322867449684598539804054589832337134931132440272438839202617 has 172 digits

c172

name 名前Dmitry Domanov
date 日付April 22, 2011 11:25:04 UTC 2011 年 4 月 22 日 (金) 20 時 25 分 4 秒 (日本時間)
composite number 合成数
5212190377751211733967811401928501020658186271805566745682451270726955715429170047476880921247783137315403029259322867449684598539804054589832337134931132440272438839202617<172>
prime factors 素因数
672294556863575979753546898422059650697<39>
7752837390306113959911758321417063934755121337603800321290560565278365777380019820546583225941042401278918964800953107870054765933361<133>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2151041565
Step 1 took 810023ms
Step 2 took 324973ms
********** Factor found in step 2: 672294556863575979753546898422059650697
Found probable prime factor of 39 digits: 672294556863575979753546898422059650697
Probable prime cofactor 7752837390306113959911758321417063934755121337603800321290560565278365777380019820546583225941042401278918964800953107870054765933361 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 05:45:37 UTC 2010 年 9 月 23 日 (木) 14 時 45 分 37 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 05:45:37 UTC 2010 年 9 月 23 日 (木) 14 時 45 分 37 秒 (日本時間)
4511e6632 / 78332Ignacio SantosSeptember 23, 2010 05:45:37 UTC 2010 年 9 月 23 日 (木) 14 時 45 分 37 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 07:07:49 UTC 2011 年 3 月 17 日 (木) 16 時 7 分 49 秒 (日本時間)
5043e60 / 6200--
5511e7500 / 17729Dmitry DomanovApril 22, 2011 09:08:06 UTC 2011 年 4 月 22 日 (金) 18 時 8 分 6 秒 (日本時間)

5×10268-1

c225

composite cofactor 合成数の残り
346407788319196507661931854212894390937512642183121779541855467777404480281636620010015302301667363952733637144680786081305178170643735660905940187401559311071916945046217948526336345541445900240335045432023801553820964136241<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 11:38:22 UTC 2010 年 9 月 23 日 (木) 20 時 38 分 22 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 11:38:22 UTC 2010 年 9 月 23 日 (木) 20 時 38 分 22 秒 (日本時間)
4511e663232Ignacio SantosSeptember 23, 2010 11:38:22 UTC 2010 年 9 月 23 日 (木) 20 時 38 分 22 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 06:36:43 UTC 2011 年 3 月 18 日 (金) 15 時 36 分 43 秒 (日本時間)
5043e61120800Dmitry DomanovOctober 9, 2011 21:41:05 UTC 2011 年 10 月 10 日 (月) 6 時 41 分 5 秒 (日本時間)
320Dmitry DomanovOctober 11, 2011 22:52:41 UTC 2011 年 10 月 12 日 (水) 7 時 52 分 41 秒 (日本時間)
5511e72620 / 17329yoyo@homeJanuary 23, 2012 01:15:48 UTC 2012 年 1 月 23 日 (月) 10 時 15 分 48 秒 (日本時間)

5×10269-1

c246

name 名前Dmitry Domanov
date 日付March 18, 2011 17:46:58 UTC 2011 年 3 月 19 日 (土) 2 時 46 分 58 秒 (日本時間)
composite number 合成数
253835048467144975601395274852754697223203374418357136161377256827834395492578387112777928402464074637329633237527549803407377126084913589659800893655163857796275828314468196861697637643729007249709453231388161200833164077921330900003451099835121<246>
prime factors 素因数
2390737653041124668089088194573501849<37>
composite cofactor 合成数の残り
106174363441448918421035747285627000272328792644690333909138640563165093998942953645853955007045389438717524367018500237929064967925996027858636171603269215999801862457663548255652172162930724469243323464693529<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1816128360
Step 1 took 192779ms
Step 2 took 64112ms
********** Factor found in step 2: 2390737653041124668089088194573501849
Found probable prime factor of 37 digits: 2390737653041124668089088194573501849
Composite cofactor 106174363441448918421035747285627000272328792644690333909138640563165093998942953645853955007045389438717524367018500237929064967925996027858636171603269215999801862457663548255652172162930724469243323464693529 has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 11:38:44 UTC 2010 年 9 月 23 日 (木) 20 時 38 分 44 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 11:38:44 UTC 2010 年 9 月 23 日 (木) 20 時 38 分 44 秒 (日本時間)
4511e663232Ignacio SantosSeptember 23, 2010 11:38:44 UTC 2010 年 9 月 23 日 (木) 20 時 38 分 44 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 06:37:46 UTC 2011 年 3 月 18 日 (金) 15 時 37 分 46 秒 (日本時間)
5043e61100300Dmitry DomanovOctober 6, 2011 20:18:18 UTC 2011 年 10 月 7 日 (金) 5 時 18 分 18 秒 (日本時間)
800Dmitry DomanovOctober 9, 2011 21:40:29 UTC 2011 年 10 月 10 日 (月) 6 時 40 分 29 秒 (日本時間)
5511e72630 / 17336yoyo@homeJanuary 23, 2012 03:10:05 UTC 2012 年 1 月 23 日 (月) 12 時 10 分 5 秒 (日本時間)

5×10270-1

c226

name 名前Dmitry Domanov
date 日付October 10, 2011 06:18:43 UTC 2011 年 10 月 10 日 (月) 15 時 18 分 43 秒 (日本時間)
composite number 合成数
1774138459858828414550531056486041365607527234675453406149239394012517101188378400543753315203985236397393767556908311559419769981744895589800504742986373094078430785926094570955611246389535610620370831500128391060809381984421<226>
prime factors 素因数
487514667647903094609528994762081665781<39>
composite cofactor 合成数の残り
3639148886367787144603016797168514980050502300465666072801864375729434153917262510442881664590156569462914576001881224258946638078488683264551632107651786277252504563981778927985389875441<187>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=41123723
Step 1 took 456299ms
Step 2 took 109916ms
********** Factor found in step 2: 487514667647903094609528994762081665781
Found probable prime factor of 39 digits: 487514667647903094609528994762081665781
Composite cofactor 3639148886367787144603016797168514980050502300465666072801864375729434153917262510442881664590156569462914576001881224258946638078488683264551632107651786277252504563981778927985389875441 has 187 digits

c187

name 名前Dmitry Domanov
date 日付October 11, 2011 06:24:21 UTC 2011 年 10 月 11 日 (火) 15 時 24 分 21 秒 (日本時間)
composite number 合成数
3639148886367787144603016797168514980050502300465666072801864375729434153917262510442881664590156569462914576001881224258946638078488683264551632107651786277252504563981778927985389875441<187>
prime factors 素因数
7396926050492286873060112876261428802945111<43>
composite cofactor 合成数の残り
491981244847728501486466363189380728240863076618265088299550341804684142981431571812302277385675480078336670369328543976115992278004681854807031<144>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2624574968
Step 1 took 444833ms
Step 2 took 112651ms
********** Factor found in step 2: 7396926050492286873060112876261428802945111
Found probable prime factor of 43 digits: 7396926050492286873060112876261428802945111

c144

name 名前Erik Branger
date 日付January 26, 2015 08:01:24 UTC 2015 年 1 月 26 日 (月) 17 時 1 分 24 秒 (日本時間)
composite number 合成数
491981244847728501486466363189380728240863076618265088299550341804684142981431571812302277385675480078336670369328543976115992278004681854807031<144>
prime factors 素因数
149315652768829739360005948083913547878672243509709<51>
3294907370558216673526162561914992715933546258236037329206290742504811395611483694479908763859<94>
factorization results 素因数分解の結果
Number: 49999_270
N = 491981244847728501486466363189380728240863076618265088299550341804684142981431571812302277385675480078336670369328543976115992278004681854807031 (144 digits)
Divisors found:
r1=149315652768829739360005948083913547878672243509709 (pp51)
r2=3294907370558216673526162561914992715933546258236037329206290742504811395611483694479908763859 (pp94)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 324.78 hours.
Factorization parameters were as follows:
# Murphy_E = 1.189e-11, selected by Dmitry Domanov
n: 491981244847728501486466363189380728240863076618265088299550341804684142981431571812302277385675480078336670369328543976115992278004681854807031
Y0: -7746251092629913075154370509
Y1: 10978606552131581
c0: -446973552794673091555827243442134960
c1: 73148773297065960389107913670
c2: 310544238619016433281441
c3: -194287613194793288
c4: -225996406468
c5: 17640
skew: 2513492.63
type: gnfs
# selected mechanically
rlim: 23000000
alim: 23000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 24234202
Relations: 4869730 relations
Pruned matrix : 3036316 x 3036542
Polynomial selection time: 0.00 hours.
Total sieving time: 318.01 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 6.49 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,23000000,23000000,28,28,56,56,2.6,2.6,100000
total time: 324.78 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 11:39:26 UTC 2010 年 9 月 23 日 (木) 20 時 39 分 26 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 11:39:26 UTC 2010 年 9 月 23 日 (木) 20 時 39 分 26 秒 (日本時間)
4511e663232Ignacio SantosSeptember 23, 2010 11:39:26 UTC 2010 年 9 月 23 日 (木) 20 時 39 分 26 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 06:38:29 UTC 2011 年 3 月 18 日 (金) 15 時 38 分 29 秒 (日本時間)
5043e61100 / 7405800Dmitry DomanovOctober 9, 2011 21:39:36 UTC 2011 年 10 月 10 日 (月) 6 時 39 分 36 秒 (日本時間)
300Dmitry DomanovOctober 12, 2011 06:25:53 UTC 2011 年 10 月 12 日 (水) 15 時 25 分 53 秒 (日本時間)

5×10273-1

c247

name 名前Dmitry Domanov
date 日付March 18, 2011 17:45:34 UTC 2011 年 3 月 19 日 (土) 2 時 45 分 34 秒 (日本時間)
composite number 合成数
1353227925858985626157029200933113498428502267532075595315042397433583594806064043155515620587424004712524191428293001915237282211158792516433908214453510597550652325937258543103414351300319514429348283833132324160416681788962832632460465650713449<247>
prime factors 素因数
1051802224850632142950906676913209640881<40>
composite cofactor 合成数の残り
1286580208604482990933068508901306415376084650897350646336935931672032220968744094035071877861054746531666922173671743821235321480215089367371568967565464085441660440952641173094262209434634510167950983535929<208>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=809287384
Step 1 took 177307ms
Step 2 took 59756ms
********** Factor found in step 2: 1051802224850632142950906676913209640881
Found probable prime factor of 40 digits: 1051802224850632142950906676913209640881
Composite cofactor 1286580208604482990933068508901306415376084650897350646336935931672032220968744094035071877861054746531666922173671743821235321480215089367371568967565464085441660440952641173094262209434634510167950983535929 has 208 digits

c208

name 名前Dmitry Domanov
date 日付October 2, 2011 12:01:05 UTC 2011 年 10 月 2 日 (日) 21 時 1 分 5 秒 (日本時間)
composite number 合成数
1286580208604482990933068508901306415376084650897350646336935931672032220968744094035071877861054746531666922173671743821235321480215089367371568967565464085441660440952641173094262209434634510167950983535929<208>
prime factors 素因数
49919715636137073264992265468097820243197943<44>
25772987530263947503222317540276912362903471787800921773288351341811875974270088531611770346163020333286289776690368408425082316260411114225257904951399589653274703<164>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=813137993
Step 1 took 384659ms
Step 2 took 135118ms
********** Factor found in step 2: 49919715636137073264992265468097820243197943
Found probable prime factor of 44 digits: 49919715636137073264992265468097820243197943
Probable prime cofactor 25772987530263947503222317540276912362903471787800921773288351341811875974270088531611770346163020333286289776690368408425082316260411114225257904951399589653274703 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 12:28:32 UTC 2010 年 9 月 23 日 (木) 21 時 28 分 32 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 12:28:32 UTC 2010 年 9 月 23 日 (木) 21 時 28 分 32 秒 (日本時間)
4511e6632 / 106932Ignacio SantosSeptember 23, 2010 12:28:32 UTC 2010 年 9 月 23 日 (木) 21 時 28 分 32 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 06:39:13 UTC 2011 年 3 月 18 日 (金) 15 時 39 分 13 秒 (日本時間)
5043e6960 / 7405Dmitry DomanovOctober 1, 2011 22:15:30 UTC 2011 年 10 月 2 日 (日) 7 時 15 分 30 秒 (日本時間)

5×10274-1

c205

name 名前Beyond
date 日付January 24, 2012 00:29:21 UTC 2012 年 1 月 24 日 (火) 9 時 29 分 21 秒 (日本時間)
composite number 合成数
1366555758540175814906956622459245394871816544368969440719450662122925272206543277582790018366639495090351332792942469950263014544006829992096540885801343016874644883285153265363984734696578569423495656151<205>
prime factors 素因数
6020265276831740730403081827065454159708760111<46>
composite cofactor 合成数の残り
226992615059538916481000285508575804353164704626846165055202106432814882353879315442818984958678666382881053538046108598465009738435710933853822681236551175641<159>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 1366555758540175814906956622459245394871816544368969440719450662122925272206543277582790018366639495090351332792942469950263014544006829992096540885801343016874644883285153265363984734696578569423495656151 (205 digits)
[Mon Jan 23 16:57:16 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1157590612
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 387958ms
Using 25 small primes for NTT
Estimated memory usage: 728M
Initializing tables of differences for F took 250ms
Computing roots of F took 12589ms
Building F from its roots took 9547ms
Computing 1/F took 3931ms
Initializing table of differences for G took 203ms
Computing roots of G took 10655ms
Building G from its roots took 9188ms
Computing roots of G took 10577ms
Building G from its roots took 9126ms
Computing G * H took 2122ms
Reducing  G * H mod F took 2106ms
Computing roots of G took 10545ms
Building G from its roots took 9220ms
Computing G * H took 2200ms
Reducing  G * H mod F took 2090ms
Computing roots of G took 10671ms
Building G from its roots took 9235ms
Computing G * H took 2200ms
Reducing  G * H mod F took 2137ms
Computing polyeval(F,G) took 18813ms
Computing product of all F(g_i) took 78ms
Step 2 took 138155ms
********** Factor found in step 2: 6020265276831740730403081827065454159708760111
Found probable prime factor of 46 digits: 6020265276831740730403081827065454159708760111
Composite cofactor 226992615059538916481000285508575804353164704626846165055202106432814882353879315442818984958678666382881053538046108598465009738435710933853822681236551175641 has 159 digits
software ソフトウェア
GMP-ECM

c159

name 名前Youcef Lemsafer
date 日付June 12, 2014 15:38:28 UTC 2014 年 6 月 13 日 (金) 0 時 38 分 28 秒 (日本時間)
composite number 合成数
226992615059538916481000285508575804353164704626846165055202106432814882353879315442818984958678666382881053538046108598465009738435710933853822681236551175641<159>
prime factors 素因数
4266285792149754766935132203741387094349195849924369479915177172719847645891049<79>
53206143732147572645990093260185277167202411942060583110206878600239864394333809<80>
factorization results 素因数分解の結果
<Polynomial selection using msieve v. 1.53 (SVN 965M)>
<on Intel Xeon W3530 @2.8GHz took ~300 thread.hours>

<Sieving algebraic special q from 16M to 64M using GGNFS (SVN 440)>
<on 2x Dual-Intel Xeon E5-2670 @2.6GHz (win64, 2x32 threads, 2x60GB RAM)>
<took ~3736 thread.hours ~ 3.4 wall clock days>


<Postprocessing using 8 threads on Intel Xeon W3530 @ 2.8GHz:>

Wed Jun 11 10:39:41 2014  
Wed Jun 11 10:39:41 2014  
Wed Jun 11 10:39:41 2014  Msieve v. 1.53 (SVN 965M)
Wed Jun 11 10:39:41 2014  random seeds: 9d962100 812ee466
Wed Jun 11 10:39:41 2014  factoring 226992615059538916481000285508575804353164704626846165055202106432814882353879315442818984958678666382881053538046108598465009738435710933853822681236551175641 (159 digits)
Wed Jun 11 10:39:42 2014  searching for 15-digit factors
Wed Jun 11 10:39:45 2014  commencing number field sieve (159-digit input)
Wed Jun 11 10:39:45 2014  R0: -3152979145211642144495097101646
Wed Jun 11 10:39:45 2014  R1: 134469656026474841
Wed Jun 11 10:39:45 2014  A0: 186148323303151036922038419256428646615
Wed Jun 11 10:39:45 2014  A1: 268013649368950721956856124896899
Wed Jun 11 10:39:45 2014  A2: -343199814569083053488259046
Wed Jun 11 10:39:45 2014  A3: -91531642120480481791
Wed Jun 11 10:39:45 2014  A4: 20753086157679
Wed Jun 11 10:39:45 2014  A5: 728460
Wed Jun 11 10:39:45 2014  skew 4099758.12, size 1.708e-015, alpha -7.673, combined = 1.530e-012 rroots = 5
Wed Jun 11 10:39:45 2014  
Wed Jun 11 10:39:45 2014  commencing relation filtering
Wed Jun 11 10:39:45 2014  estimated available RAM is 8189.6 MB
Wed Jun 11 10:39:45 2014  commencing duplicate removal, pass 1
Wed Jun 11 10:51:20 2014  found 12961582 hash collisions in 72952440 relations
Wed Jun 11 10:51:59 2014  added 121682 free relations
Wed Jun 11 10:51:59 2014  commencing duplicate removal, pass 2
Wed Jun 11 10:54:17 2014  found 11444182 duplicates and 61629940 unique relations
Wed Jun 11 10:54:17 2014  memory use: 330.4 MB
Wed Jun 11 10:54:18 2014  reading ideals above 63897600
Wed Jun 11 10:54:18 2014  commencing singleton removal, initial pass
Wed Jun 11 11:05:05 2014  memory use: 1506.0 MB
Wed Jun 11 11:05:05 2014  reading all ideals from disk
Wed Jun 11 11:05:11 2014  memory use: 998.7 MB
Wed Jun 11 11:05:13 2014  commencing in-memory singleton removal
Wed Jun 11 11:05:16 2014  begin with 61629940 relations and 56203176 unique ideals
Wed Jun 11 11:05:40 2014  reduce to 30597285 relations and 20973002 ideals in 16 passes
Wed Jun 11 11:05:40 2014  max relations containing the same ideal: 30
Wed Jun 11 11:05:43 2014  reading ideals above 720000
Wed Jun 11 11:05:43 2014  commencing singleton removal, initial pass
Wed Jun 11 11:12:56 2014  memory use: 753.0 MB
Wed Jun 11 11:12:56 2014  reading all ideals from disk
Wed Jun 11 11:13:02 2014  memory use: 1111.4 MB
Wed Jun 11 11:13:05 2014  keeping 28349323 ideals with weight <= 200, target excess is 165304
Wed Jun 11 11:13:09 2014  commencing in-memory singleton removal
Wed Jun 11 11:13:12 2014  begin with 30597294 relations and 28349323 unique ideals
Wed Jun 11 11:13:55 2014  reduce to 30417216 relations and 28169061 ideals in 14 passes
Wed Jun 11 11:13:55 2014  max relations containing the same ideal: 200
Wed Jun 11 11:14:11 2014  removing 3208081 relations and 2808081 ideals in 400000 cliques
Wed Jun 11 11:14:12 2014  commencing in-memory singleton removal
Wed Jun 11 11:14:15 2014  begin with 27209135 relations and 28169061 unique ideals
Wed Jun 11 11:14:39 2014  reduce to 26955454 relations and 25102816 ideals in 9 passes
Wed Jun 11 11:14:39 2014  max relations containing the same ideal: 192
Wed Jun 11 11:14:54 2014  removing 2391905 relations and 1991905 ideals in 400000 cliques
Wed Jun 11 11:14:55 2014  commencing in-memory singleton removal
Wed Jun 11 11:14:58 2014  begin with 24563549 relations and 25102816 unique ideals
Wed Jun 11 11:15:19 2014  reduce to 24401133 relations and 22946059 ideals in 9 passes
Wed Jun 11 11:15:19 2014  max relations containing the same ideal: 180
Wed Jun 11 11:15:33 2014  removing 2135601 relations and 1735601 ideals in 400000 cliques
Wed Jun 11 11:15:34 2014  commencing in-memory singleton removal
Wed Jun 11 11:15:36 2014  begin with 22265532 relations and 22946059 unique ideals
Wed Jun 11 11:15:53 2014  reduce to 22124080 relations and 21066864 ideals in 8 passes
Wed Jun 11 11:15:53 2014  max relations containing the same ideal: 171
Wed Jun 11 11:16:05 2014  removing 2001284 relations and 1601284 ideals in 400000 cliques
Wed Jun 11 11:16:06 2014  commencing in-memory singleton removal
Wed Jun 11 11:16:08 2014  begin with 20122796 relations and 21066864 unique ideals
Wed Jun 11 11:16:24 2014  reduce to 19987124 relations and 19327721 ideals in 8 passes
Wed Jun 11 11:16:24 2014  max relations containing the same ideal: 158
Wed Jun 11 11:16:35 2014  removing 1914064 relations and 1514064 ideals in 400000 cliques
Wed Jun 11 11:16:35 2014  commencing in-memory singleton removal
Wed Jun 11 11:16:37 2014  begin with 18073060 relations and 19327721 unique ideals
Wed Jun 11 11:16:51 2014  reduce to 17936091 relations and 17674280 ideals in 8 passes
Wed Jun 11 11:16:51 2014  max relations containing the same ideal: 148
Wed Jun 11 11:17:01 2014  removing 454282 relations and 384224 ideals in 70058 cliques
Wed Jun 11 11:17:02 2014  commencing in-memory singleton removal
Wed Jun 11 11:17:03 2014  begin with 17481809 relations and 17674280 unique ideals
Wed Jun 11 11:17:15 2014  reduce to 17474624 relations and 17282840 ideals in 7 passes
Wed Jun 11 11:17:15 2014  max relations containing the same ideal: 143
Wed Jun 11 11:17:19 2014  relations with 0 large ideals: 539
Wed Jun 11 11:17:19 2014  relations with 1 large ideals: 588
Wed Jun 11 11:17:19 2014  relations with 2 large ideals: 9478
Wed Jun 11 11:17:19 2014  relations with 3 large ideals: 98356
Wed Jun 11 11:17:19 2014  relations with 4 large ideals: 550782
Wed Jun 11 11:17:19 2014  relations with 5 large ideals: 1831304
Wed Jun 11 11:17:19 2014  relations with 6 large ideals: 3794015
Wed Jun 11 11:17:19 2014  relations with 7+ large ideals: 11189562
Wed Jun 11 11:17:19 2014  commencing 2-way merge
Wed Jun 11 11:17:33 2014  reduce to 10836061 relation sets and 10644277 unique ideals
Wed Jun 11 11:17:33 2014  commencing full merge
Wed Jun 11 11:20:26 2014  memory use: 1285.6 MB
Wed Jun 11 11:20:27 2014  found 5886645 cycles, need 5860477
Wed Jun 11 11:20:28 2014  weight of 5860477 cycles is about 410273610 (70.01/cycle)
Wed Jun 11 11:20:28 2014  distribution of cycle lengths:
Wed Jun 11 11:20:28 2014  1 relations: 784124
Wed Jun 11 11:20:28 2014  2 relations: 757742
Wed Jun 11 11:20:28 2014  3 relations: 744428
Wed Jun 11 11:20:28 2014  4 relations: 666280
Wed Jun 11 11:20:28 2014  5 relations: 587677
Wed Jun 11 11:20:28 2014  6 relations: 508247
Wed Jun 11 11:20:28 2014  7 relations: 433623
Wed Jun 11 11:20:28 2014  8 relations: 359509
Wed Jun 11 11:20:28 2014  9 relations: 288386
Wed Jun 11 11:20:28 2014  10+ relations: 730461
Wed Jun 11 11:20:28 2014  heaviest cycle: 20 relations
Wed Jun 11 11:20:29 2014  commencing cycle optimization
Wed Jun 11 11:20:36 2014  start with 30297900 relations
Wed Jun 11 11:21:21 2014  pruned 657738 relations
Wed Jun 11 11:21:21 2014  memory use: 1030.6 MB
Wed Jun 11 11:21:21 2014  distribution of cycle lengths:
Wed Jun 11 11:21:21 2014  1 relations: 784124
Wed Jun 11 11:21:21 2014  2 relations: 773721
Wed Jun 11 11:21:21 2014  3 relations: 768895
Wed Jun 11 11:21:21 2014  4 relations: 680459
Wed Jun 11 11:21:21 2014  5 relations: 599182
Wed Jun 11 11:21:21 2014  6 relations: 513195
Wed Jun 11 11:21:21 2014  7 relations: 435123
Wed Jun 11 11:21:21 2014  8 relations: 356852
Wed Jun 11 11:21:21 2014  9 relations: 283073
Wed Jun 11 11:21:21 2014  10+ relations: 665853
Wed Jun 11 11:21:21 2014  heaviest cycle: 20 relations
Wed Jun 11 11:21:28 2014  RelProcTime: 2503
Wed Jun 11 11:21:28 2014  
Wed Jun 11 11:21:28 2014  commencing linear algebra
Wed Jun 11 11:21:29 2014  read 5860477 cycles
Wed Jun 11 11:21:39 2014  cycles contain 17346713 unique relations
Wed Jun 11 11:26:40 2014  read 17346713 relations
Wed Jun 11 11:27:06 2014  using 20 quadratic characters above 1073739380
Wed Jun 11 11:28:29 2014  building initial matrix
Wed Jun 11 11:31:45 2014  memory use: 2396.1 MB
Wed Jun 11 11:32:00 2014  read 5860477 cycles
Wed Jun 11 11:32:01 2014  matrix is 5860300 x 5860477 (1784.7 MB) with weight 555039465 (94.71/col)
Wed Jun 11 11:32:01 2014  sparse part has weight 397530556 (67.83/col)
Wed Jun 11 11:32:58 2014  filtering completed in 2 passes
Wed Jun 11 11:32:59 2014  matrix is 5859219 x 5859396 (1784.7 MB) with weight 555004618 (94.72/col)
Wed Jun 11 11:32:59 2014  sparse part has weight 397524303 (67.84/col)
Wed Jun 11 11:33:20 2014  matrix starts at (0, 0)
Wed Jun 11 11:33:21 2014  matrix is 5859219 x 5859396 (1784.7 MB) with weight 555004618 (94.72/col)
Wed Jun 11 11:33:21 2014  sparse part has weight 397524303 (67.84/col)
Wed Jun 11 11:33:21 2014  saving the first 48 matrix rows for later
Wed Jun 11 11:33:23 2014  matrix includes 64 packed rows
Wed Jun 11 11:33:24 2014  matrix is 5859171 x 5859396 (1718.7 MB) with weight 445229037 (75.99/col)
Wed Jun 11 11:33:24 2014  sparse part has weight 391952090 (66.89/col)
Wed Jun 11 11:33:24 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Wed Jun 11 11:33:54 2014  commencing Lanczos iteration (8 threads)
Wed Jun 11 11:33:54 2014  memory use: 1387.3 MB
Wed Jun 11 11:34:25 2014  linear algebra at 0.0%, ETA 32h 8m
Wed Jun 11 11:34:34 2014  checkpointing every 190000 dimensions
Thu Jun 12 14:36:37 2014  lanczos halted after 92661 iterations (dim = 5859171)
Thu Jun 12 14:36:43 2014  recovered 30 nontrivial dependencies
Thu Jun 12 14:36:45 2014  BLanczosTime: 98117
Thu Jun 12 14:36:45 2014  
Thu Jun 12 14:36:45 2014  commencing square root phase
Thu Jun 12 14:36:45 2014  reading relations for dependency 1
Thu Jun 12 14:36:48 2014  read 2928995 cycles
Thu Jun 12 14:36:52 2014  cycles contain 8673044 unique relations
Thu Jun 12 14:39:55 2014  read 8673044 relations
Thu Jun 12 14:40:45 2014  multiplying 8673044 relations
Thu Jun 12 15:01:54 2014  multiply complete, coefficients have about 492.35 million bits
Thu Jun 12 15:01:59 2014  initial square root is modulo 682746497
Thu Jun 12 15:27:25 2014  GCD is N, no factor found
Thu Jun 12 15:27:25 2014  reading relations for dependency 2
Thu Jun 12 15:27:27 2014  read 2929042 cycles
Thu Jun 12 15:27:32 2014  cycles contain 8674352 unique relations
Thu Jun 12 15:29:54 2014  read 8674352 relations
Thu Jun 12 15:30:41 2014  multiplying 8674352 relations
Thu Jun 12 15:51:11 2014  multiply complete, coefficients have about 492.43 million bits
Thu Jun 12 15:51:15 2014  initial square root is modulo 684955559
Thu Jun 12 16:17:51 2014  GCD is N, no factor found
<...snipped...>
Thu Jun 12 15:53:27 2014  commencing square root phase
Thu Jun 12 15:53:27 2014  handling dependencies 3 to 3
Thu Jun 12 15:53:27 2014  reading relations for dependency 3
Thu Jun 12 15:53:28 2014  read 2926740 cycles
Thu Jun 12 15:53:33 2014  cycles contain 8667648 unique relations
Thu Jun 12 15:55:58 2014  read 8667648 relations
Thu Jun 12 15:56:48 2014  multiplying 8667648 relations
Thu Jun 12 16:19:08 2014  multiply complete, coefficients have about 492.05 million bits
Thu Jun 12 16:19:13 2014  initial square root is modulo 674402537
Thu Jun 12 16:47:04 2014  GCD is N, no factor found
Thu Jun 12 16:47:04 2014  sqrtTime: 3217
Thu Jun 12 16:47:04 2014  elapsed time 00:53:41
<...snipped...>
Thu Jun 12 15:54:11 2014  commencing square root phase
Thu Jun 12 15:54:11 2014  handling dependencies 4 to 4
Thu Jun 12 15:54:11 2014  reading relations for dependency 4
Thu Jun 12 15:54:12 2014  read 2928038 cycles
Thu Jun 12 15:54:17 2014  cycles contain 8671208 unique relations
Thu Jun 12 15:55:58 2014  read 8671208 relations
Thu Jun 12 15:56:48 2014  multiplying 8671208 relations
Thu Jun 12 16:19:05 2014  multiply complete, coefficients have about 492.24 million bits
Thu Jun 12 16:19:11 2014  initial square root is modulo 679849559
Thu Jun 12 16:47:25 2014  sqrtTime: 3194
Thu Jun 12 16:47:25 2014  prp79 factor: 4266285792149754766935132203741387094349195849924369479915177172719847645891049
Thu Jun 12 16:47:25 2014  prp80 factor: 53206143732147572645990093260185277167202411942060583110206878600239864394333809
Thu Jun 12 16:47:25 2014  elapsed time 00:53:17


<Parameters were as follows:>
# 
# 49999_274, C159, GNFS
#
# Murphy_E = 1.530e-12, selected by Youcef Lemsafer
# msieve 1.53 (SVN 965M) win64
# norm 2.065439e-015 alpha -7.673034 e 1.530e-012 rroots 5
n: 226992615059538916481000285508575804353164704626846165055202106432814882353879315442818984958678666382881053538046108598465009738435710933853822681236551175641
Y0: -3152979145211642144495097101646
Y1: 134469656026474841
c0: 186148323303151036922038419256428646615
c1: 268013649368950721956856124896899
c2: -343199814569083053488259046
c3: -91531642120480481791
c4: 20753086157679
c5: 728460
skew: 4099758.12
type: gnfs
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 30
mfbr: 58
mfba: 60
rlambda: 2.5
alambda: 2.5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 14:01:21 UTC 2010 年 9 月 23 日 (木) 23 時 1 分 21 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 14:01:21 UTC 2010 年 9 月 23 日 (木) 23 時 1 分 21 秒 (日本時間)
4511e663232Ignacio SantosSeptember 23, 2010 14:01:21 UTC 2010 年 9 月 23 日 (木) 23 時 1 分 21 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 13:20:13 UTC 2011 年 3 月 18 日 (金) 22 時 20 分 13 秒 (日本時間)
5043e61100800Dmitry DomanovOctober 1, 2011 22:14:48 UTC 2011 年 10 月 2 日 (日) 7 時 14 分 48 秒 (日本時間)
300Dmitry DomanovOctober 6, 2011 20:16:01 UTC 2011 年 10 月 7 日 (金) 5 時 16 分 1 秒 (日本時間)
5511e72740 / 173361780yoyo@homeJanuary 23, 2012 06:55:05 UTC 2012 年 1 月 23 日 (月) 15 時 55 分 5 秒 (日本時間)
960Youcef LemsaferJanuary 3, 2014 08:02:05 UTC 2014 年 1 月 3 日 (金) 17 時 2 分 5 秒 (日本時間)

5×10276-1

c270

composite cofactor 合成数の残り
261635054785595566939354930400104360990652878359740769894637993627511951620120133398295573202898141967262233518809912138239172010867901559705982897753700840931694988574135522458255996191430834497042451177198149151760837931264180292925560797733654363034022656235242147691<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiFebruary 25, 2010 05:53:01 UTC 2010 年 2 月 25 日 (木) 14 時 53 分 1 秒 (日本時間)
4511e60--
5043e67475yoyo@homeMarch 7, 2010 20:10:13 UTC 2010 年 3 月 8 日 (月) 5 時 10 分 13 秒 (日本時間)

5×10282-1

c274

composite cofactor 合成数の残り
1387681728748897201350993311087927457847466885293665735443322533401465212783601288536975898550292256165810666079844557310255017571199335803569816853440722196020123750786670180539538266184171690837518408198304201805273960510576188403256972167262848365491086252642566132181279<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiFebruary 25, 2010 05:53:19 UTC 2010 年 2 月 25 日 (木) 14 時 53 分 19 秒 (日本時間)
4511e60--
5043e67475yoyo@homeMarch 8, 2010 02:35:13 UTC 2010 年 3 月 8 日 (月) 11 時 35 分 13 秒 (日本時間)

5×10283-1

c244

name 名前Dmitry Domanov
date 日付October 2, 2011 12:02:21 UTC 2011 年 10 月 2 日 (日) 21 時 2 分 21 秒 (日本時間)
composite number 合成数
5323902108157576611125198456399155232954759214472679841661801476119708627218523977648483429291053160666165160829215969851243119374757719080317258132011024463930917751466839234459770828824579824674899988950099381366312324933908383803312330972289<244>
prime factors 素因数
1407506020517889111185547719235950858417521<43>
3782507520783930397067686485988603301582352341211720698729449666269870878899160010706235569931685067079837571419760406023457198600196381481320525644660307866064840118204968723024251167192704671460462609<202>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1645586100
Step 1 took 517883ms
Step 2 took 123278ms
********** Factor found in step 2: 1407506020517889111185547719235950858417521
Found probable prime factor of 43 digits: 1407506020517889111185547719235950858417521
Probable prime cofactor 3782507520783930397067686485988603301582352341211720698729449666269870878899160010706235569931685067079837571419760406023457198600196381481320525644660307866064840118204968723024251167192704671460462609 has 202 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 19:05:35 UTC 2010 年 9 月 24 日 (金) 4 時 5 分 35 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 19:05:35 UTC 2010 年 9 月 24 日 (金) 4 時 5 分 35 秒 (日本時間)
4511e6632 / 163032Ignacio SantosSeptember 23, 2010 19:05:35 UTC 2010 年 9 月 24 日 (金) 4 時 5 分 35 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 13:21:01 UTC 2011 年 3 月 18 日 (金) 22 時 21 分 1 秒 (日本時間)
5043e6800 / 7405Dmitry DomanovOctober 1, 2011 22:12:18 UTC 2011 年 10 月 2 日 (日) 7 時 12 分 18 秒 (日本時間)

5×10285-1

c286

name 名前Markus Tervooren
date 日付February 17, 2010 09:32:46 UTC 2010 年 2 月 17 日 (水) 18 時 32 分 46 秒 (日本時間)
composite number 合成数
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<286>
prime factors 素因数
86052234771785423833873722405105681185807<41>
composite cofactor 合成数の残り
58104243466311308429323738270471415711610138047632125796034305485877692313509930236831658899486641092123757802339149626882666141226378538206898383668001045131822608655742136240968310105563653264429735447896249210458390856665332040664612189687057<245>
factorization results 素因数分解の結果
Using B1=4556772, B2=4556772-8562077170, polynomial Dickson(6), sigma=3899543000
Step 1 took 50335ms
Step 2 took 13589ms
********** Factor found in step 2: 86052234771785423833873722405105681185807
Found probable prime factor of 41 digits: 86052234771785423833873722405105681185807
Composite cofactor 58104243466311308429323738270471415711610138047632125796034305485877692313509930236831658899486641092123757802339149626882666141226378538206898383668001045131822608655742136240968310105563653264429735447896249210458390856665332040664612189687057 has 245 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
200Markus TervoorenFebruary 17, 2010 08:09:11 UTC 2010 年 2 月 17 日 (水) 17 時 9 分 11 秒 (日本時間)
600Markus TervoorenFebruary 17, 2010 08:31:05 UTC 2010 年 2 月 17 日 (水) 17 時 31 分 5 秒 (日本時間)
403e60--
4511e6625450Dmitry DomanovFebruary 18, 2010 18:22:15 UTC 2010 年 2 月 19 日 (金) 3 時 22 分 15 秒 (日本時間)
175Dmitry DomanovFebruary 20, 2010 11:36:46 UTC 2010 年 2 月 20 日 (土) 20 時 36 分 46 秒 (日本時間)
5043e61120640Dmitry DomanovSeptember 29, 2011 21:51:38 UTC 2011 年 9 月 30 日 (金) 6 時 51 分 38 秒 (日本時間)
480Dmitry DomanovOctober 3, 2011 22:39:07 UTC 2011 年 10 月 4 日 (火) 7 時 39 分 7 秒 (日本時間)
5511e72620 / 17330yoyo@homeJanuary 26, 2012 07:55:05 UTC 2012 年 1 月 26 日 (木) 16 時 55 分 5 秒 (日本時間)

5×10286-1

c231

name 名前Dmitry Domanov
date 日付October 2, 2011 12:03:33 UTC 2011 年 10 月 2 日 (日) 21 時 3 分 33 秒 (日本時間)
composite number 合成数
792076419797600432348768764086983597932161120913969586535393856256648565879793089539077532813673818134705301322411945978696915832007645708466719755883618713219322400989797724833023493032670597946994373242356704504901718553558211939<231>
prime factors 素因数
17028103236964031115409765778805014621<38>
38079087783527363082009265754731462080091319<44>
1221558511240692253247188430906522327490175384156787453275634303400294821196820707032361139537324571942402853730476889968063160130160915545245992879161<151>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3551212317
Step 1 took 445603ms
Step 2 took 112077ms
********** Factor found in step 2: 17028103236964031115409765778805014621
Found probable prime factor of 38 digits: 17028103236964031115409765778805014621
Composite cofactor 46515833782249317414430296830472741993299135978979578896444479446845061254636664024458380000532591521972626642334361310860012094049189033997940465378459978461998557513062190262126612538612103359 has 194 digits

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2615213188
Step 1 took 377111ms
Step 2 took 89711ms
********** Factor found in step 2: 38079087783527363082009265754731462080091319
Found probable prime factor of 44 digits: 38079087783527363082009265754731462080091319
Probable prime cofactor 1221558511240692253247188430906522327490175384156787453275634303400294821196820707032361139537324571942402853730476889968063160130160915545245992879161 has 151 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 19:05:59 UTC 2010 年 9 月 24 日 (金) 4 時 5 分 59 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 19:05:59 UTC 2010 年 9 月 24 日 (金) 4 時 5 分 59 秒 (日本時間)
4511e6632 / 215732Ignacio SantosSeptember 23, 2010 19:05:59 UTC 2010 年 9 月 24 日 (金) 4 時 5 分 59 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 13:21:52 UTC 2011 年 3 月 18 日 (金) 22 時 21 分 52 秒 (日本時間)
5043e6650 / 7405Dmitry DomanovOctober 1, 2011 22:13:46 UTC 2011 年 10 月 2 日 (日) 7 時 13 分 46 秒 (日本時間)

5×10287-1

c269

composite cofactor 合成数の残り
71681740047768622391625856109412363514464273685802455528669287124971191342006780725963311052514116536365917333813063106894338445011865450497892830763493161524637739813074709314017841999379883295018865916580537172034930935453186079087228483955599802562301454494363069943<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 23, 2010 19:10:30 UTC 2010 年 9 月 24 日 (金) 4 時 10 分 30 秒 (日本時間)
403e6110Ignacio SantosSeptember 23, 2010 19:10:30 UTC 2010 年 9 月 24 日 (金) 4 時 10 分 30 秒 (日本時間)
4511e663232Ignacio SantosSeptember 23, 2010 19:10:30 UTC 2010 年 9 月 24 日 (金) 4 時 10 分 30 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 13:22:43 UTC 2011 年 3 月 18 日 (金) 22 時 22 分 43 秒 (日本時間)
5043e6960Dmitry DomanovSeptember 22, 2011 21:27:31 UTC 2011 年 9 月 23 日 (金) 6 時 27 分 31 秒 (日本時間)
5511e72785 / 17386100Dmitry DomanovOctober 2, 2011 20:20:07 UTC 2011 年 10 月 3 日 (月) 5 時 20 分 7 秒 (日本時間)
2685yoyo@homeJanuary 26, 2012 10:30:05 UTC 2012 年 1 月 26 日 (木) 19 時 30 分 5 秒 (日本時間)

5×10288-1

c249

name 名前Ignacio Santos
date 日付September 25, 2010 02:46:50 UTC 2010 年 9 月 25 日 (土) 11 時 46 分 50 秒 (日本時間)
composite number 合成数
412467283346303245353016150730415724217113462152635321987525807464710624301858235944426333561082418072395446574015445556304451282648716145958957789710743750622420995880452149057207954141264221498474972741445783941910071056765732532357177046522258741<249>
prime factors 素因数
3189078141871089191241201614788049<34>
5798443240784036861141900382091909<34>
22305549934151822322965727735916523940259898005514074803898278947665467056291466137618909739843095721598102066758940059253690856242677462063999800406016029545852646169478031271655201<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=715276067
Step 1 took 41511ms
Step 2 took 21310ms
********** Factor found in step 2: 5798443240784036861141900382091909
Found probable prime factor of 34 digits: 5798443240784036861141900382091909
Composite cofactor 71134141737417689397816393456109643178190789297306010428538239692564907530353333730160614550078118222164532351705229412143231989596540544138751541344039026182573060271900550211621772880588821911509090998291023492849 has 215 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=356507500
Step 1 took 35319ms
Step 2 took 17674ms
********** Factor found in step 2: 3189078141871089191241201614788049
Found probable prime factor of 34 digits: 3189078141871089191241201614788049
Probable prime cofactor 22305549934151822322965727735916523940259898005514074803898278947665467056291466137618909739843095721598102066758940059253690856242677462063999800406016029545852646169478031271655201 has 182 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
3025e40--
351e6118 / 904Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)

5×10291-1

c292

composite cofactor 合成数の残り
4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<292>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
400Markus TervoorenFebruary 16, 2010 19:15:18 UTC 2010 年 2 月 17 日 (水) 4 時 15 分 18 秒 (日本時間)
400Markus TervoorenFebruary 17, 2010 07:29:04 UTC 2010 年 2 月 17 日 (水) 16 時 29 分 4 秒 (日本時間)
403e62300Markus TervoorenFebruary 17, 2010 07:29:04 UTC 2010 年 2 月 17 日 (水) 16 時 29 分 4 秒 (日本時間)
4511e63950350Markus TervoorenFebruary 17, 2010 07:29:18 UTC 2010 年 2 月 17 日 (水) 16 時 29 分 18 秒 (日本時間)
3600Dmitry DomanovMarch 9, 2010 07:47:23 UTC 2010 年 3 月 9 日 (火) 16 時 47 分 23 秒 (日本時間)
5043e67390yoyo@homeMarch 19, 2010 01:11:00 UTC 2010 年 3 月 19 日 (金) 10 時 11 分 0 秒 (日本時間)
5511e79955 / 1399415Markus TervoorenNovember 4, 2010 20:37:19 UTC 2010 年 11 月 5 日 (金) 5 時 37 分 19 秒 (日本時間)
3500Serge BatalovOctober 10, 2013 05:27:12 UTC 2013 年 10 月 10 日 (木) 14 時 27 分 12 秒 (日本時間)
6000Serge BatalovMay 25, 2014 21:12:21 UTC 2014 年 5 月 26 日 (月) 6 時 12 分 21 秒 (日本時間)
440Rytis SlatkevičiusFebruary 7, 2024 19:31:10 UTC 2024 年 2 月 8 日 (木) 4 時 31 分 10 秒 (日本時間)
6026e7375 / 37325Youcef LemsaferMarch 12, 2015 10:06:11 UTC 2015 年 3 月 12 日 (木) 19 時 6 分 11 秒 (日本時間)

5×10292-1

c216

composite cofactor 合成数の残り
764979305599778402541510996781611053102539202085341523045371810158799195422535248328295541119036344002205967766204496470272707991493780248555040734934943771441807513047848685491388676609764521288718610960143849615229<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2010 12:17:42 UTC 2010 年 9 月 25 日 (土) 21 時 17 分 42 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 12:17:42 UTC 2010 年 9 月 25 日 (土) 21 時 17 分 42 秒 (日本時間)
4511e663232Ignacio SantosSeptember 25, 2010 12:17:42 UTC 2010 年 9 月 25 日 (土) 21 時 17 分 42 秒 (日本時間)
600Dmitry DomanovMarch 17, 2011 17:55:03 UTC 2011 年 3 月 18 日 (金) 2 時 55 分 3 秒 (日本時間)
5043e61085960Dmitry DomanovSeptember 22, 2011 21:25:05 UTC 2011 年 9 月 23 日 (金) 6 時 25 分 5 秒 (日本時間)
125Dmitry DomanovOctober 2, 2011 20:19:12 UTC 2011 年 10 月 3 日 (月) 5 時 19 分 12 秒 (日本時間)
5511e72635 / 17342yoyo@homeJanuary 26, 2012 13:05:05 UTC 2012 年 1 月 26 日 (木) 22 時 5 分 5 秒 (日本時間)

5×10294-1

c275

composite cofactor 合成数の残り
84735498879864290426552485547983392598222616336822368242684214105622908349537061975456183376931441201587879456887766185727011914126293864325846657998835196024004132871800228742157235424282933440537978194756662704394825955509785073100113014984874781355507222421682989712167059<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2010 12:18:11 UTC 2010 年 9 月 25 日 (土) 21 時 18 分 11 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 12:18:11 UTC 2010 年 9 月 25 日 (土) 21 時 18 分 11 秒 (日本時間)
4511e663232Ignacio SantosSeptember 25, 2010 12:18:11 UTC 2010 年 9 月 25 日 (土) 21 時 18 分 11 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 17:35:03 UTC 2011 年 3 月 19 日 (土) 2 時 35 分 3 秒 (日本時間)
5043e6800Dmitry DomanovSeptember 22, 2011 21:23:29 UTC 2011 年 9 月 23 日 (金) 6 時 23 分 29 秒 (日本時間)
5511e72990 / 17443240Dmitry DomanovOctober 2, 2011 20:18:36 UTC 2011 年 10 月 3 日 (月) 5 時 18 分 36 秒 (日本時間)
2750yoyo@homeJanuary 29, 2012 02:50:05 UTC 2012 年 1 月 29 日 (日) 11 時 50 分 5 秒 (日本時間)

5×10296-1

c249

composite cofactor 合成数の残り
250263137856297603313811100078035555593427534262020030610568434186413456603463995858103458131388303743146577336782473688377946745484469670725035862267590796410198330877099015473344551075227633543700102946749711562440567124761714803394940701878665759<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2010 12:18:45 UTC 2010 年 9 月 25 日 (土) 21 時 18 分 45 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 12:18:45 UTC 2010 年 9 月 25 日 (土) 21 時 18 分 45 秒 (日本時間)
4511e663232Ignacio SantosSeptember 25, 2010 12:18:45 UTC 2010 年 9 月 25 日 (土) 21 時 18 分 45 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 17:36:17 UTC 2011 年 3 月 19 日 (土) 2 時 36 分 17 秒 (日本時間)
5043e6800Dmitry DomanovSeptember 21, 2011 21:07:23 UTC 2011 年 9 月 22 日 (木) 6 時 7 分 23 秒 (日本時間)
5511e72890 / 17443140Dmitry DomanovOctober 2, 2011 20:17:38 UTC 2011 年 10 月 3 日 (月) 5 時 17 分 38 秒 (日本時間)
2750yoyo@homeJanuary 29, 2012 08:35:24 UTC 2012 年 1 月 29 日 (日) 17 時 35 分 24 秒 (日本時間)

5×10297-1

c272

name 名前Dmitry Domanov
date 日付October 4, 2011 06:47:26 UTC 2011 年 10 月 4 日 (火) 15 時 47 分 26 秒 (日本時間)
composite number 合成数
25228764359655133534761607286295037047811031854690657059970733281720948835159104265865412137504681680933170008041924566688472831509935273788225393191810201489611634262211679545806480631923736774581056818770340392289613240579383315869519425366044468312843571493065081328439<272>
prime factors 素因数
128095237059977817736208549181569948642526887<45>
196953180607662340838704808812030726709543318512843221210558739934257899726319378104177618567004283710160688940293166175756392571680571762295524719914492223622376559261739453349592195717778848695748524479998558013070785951789297<228>
factorization results 素因数分解の結果
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2038989449
Step 1 took 1655462ms
Step 2 took 375620ms
********** Factor found in step 2: 128095237059977817736208549181569948642526887
Found probable prime factor of 45 digits: 128095237059977817736208549181569948642526887
Probable prime cofactor 196953180607662340838704808812030726709543318512843221210558739934257899726319378104177618567004283710160688940293166175756392571680571762295524719914492223622376559261739453349592195717778848695748524479998558013070785951789297 has 228 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2010 12:19:13 UTC 2010 年 9 月 25 日 (土) 21 時 19 分 13 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 12:19:13 UTC 2010 年 9 月 25 日 (土) 21 時 19 分 13 秒 (日本時間)
4511e663232Ignacio SantosSeptember 25, 2010 12:19:13 UTC 2010 年 9 月 25 日 (土) 21 時 19 分 13 秒 (日本時間)
600Dmitry DomanovMarch 18, 2011 17:36:54 UTC 2011 年 3 月 19 日 (土) 2 時 36 分 54 秒 (日本時間)
5043e6800 / 7067Dmitry DomanovSeptember 22, 2011 21:20:47 UTC 2011 年 9 月 23 日 (金) 6 時 20 分 47 秒 (日本時間)
5511e7140 / 17443Dmitry DomanovOctober 2, 2011 20:16:46 UTC 2011 年 10 月 3 日 (月) 5 時 16 分 46 秒 (日本時間)

5×10298-1

c239

composite cofactor 合成数の残り
32142129996354455319938628022977334474065593314901453712967035593847058549219979536849702341418163018565730778560429630148895352922384817648012600802369857839827926364335178459117252087950453158417391558422016917222309866479256365334807741<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2010 13:33:45 UTC 2010 年 9 月 25 日 (土) 22 時 33 分 45 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 13:33:45 UTC 2010 年 9 月 25 日 (土) 22 時 33 分 45 秒 (日本時間)
4511e663232Ignacio SantosSeptember 25, 2010 13:33:45 UTC 2010 年 9 月 25 日 (土) 22 時 33 分 45 秒 (日本時間)
600Dmitry DomanovMarch 14, 2011 07:31:32 UTC 2011 年 3 月 14 日 (月) 16 時 31 分 32 秒 (日本時間)
5043e6800Dmitry DomanovSeptember 18, 2011 20:38:05 UTC 2011 年 9 月 19 日 (月) 5 時 38 分 5 秒 (日本時間)
5511e72865 / 17427125Dmitry DomanovOctober 2, 2011 20:14:52 UTC 2011 年 10 月 3 日 (月) 5 時 14 分 52 秒 (日本時間)
2740yoyo@homeJanuary 29, 2012 13:30:05 UTC 2012 年 1 月 29 日 (日) 22 時 30 分 5 秒 (日本時間)
6026e77 / 408315Dmitry DomanovOctober 2, 2011 20:15:10 UTC 2011 年 10 月 3 日 (月) 5 時 15 分 10 秒 (日本時間)
1Dmitry DomanovOctober 2, 2011 20:15:21 UTC 2011 年 10 月 3 日 (月) 5 時 15 分 21 秒 (日本時間)
1Dmitry DomanovOctober 2, 2011 20:15:34 UTC 2011 年 10 月 3 日 (月) 5 時 15 分 34 秒 (日本時間)

5×10299-1

c296

name 名前Markus Tervooren
date 日付March 8, 2010 10:17:45 UTC 2010 年 3 月 8 日 (月) 19 時 17 分 45 秒 (日本時間)
composite number 合成数
44236043528266831814562505529505441033353976820313191188180129169247102539148898522516146155887817393612315314518269485977174201539414314783685747146775192426789347960718393346899053348668495089799168362381668583561886224896045297708572945235778112005662213571618154472264000707776696452269309033<296>
prime factors 素因数
2132733466305406944552656449501978228207906169<46>
composite cofactor 合成数の残り
20741477651634618509554333916716248310117115165561874059497125254379027379798724302391029290176171106591409645847649344395603795203243623261261097952977784729230037791598157191350396059712976936770526320385321476181393851481004431180911094128990124657<251>
factorization results 素因数分解の結果
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3819258053
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20      25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 8ms
Using 35 small primes for NTT
Estimated memory usage: 384M
Initializing tables of differences for F took 132ms
Computing roots of F took 6912ms
Building F from its roots took 7049ms
Computing 1/F took 3540ms
Initializing table of differences for G took 176ms
Computing roots of G took 5564ms
Building G from its roots took 7437ms
Computing roots of G took 5556ms
Building G from its roots took 7421ms
Computing G * H took 1804ms
Reducing  G * H mod F took 1916ms
Computing roots of G took 5584ms
Building G from its roots took 7453ms
Computing G * H took 1816ms
Reducing  G * H mod F took 1920ms
Computing roots of G took 5572ms
Building G from its roots took 7465ms
Computing G * H took 1816ms
Reducing  G * H mod F took 1924ms
Computing roots of G took 5572ms
Building G from its roots took 7457ms
Computing G * H took 1828ms
Reducing  G * H mod F took 1920ms
Computing polyeval(F,G) took 14093ms
Computing product of all F(g_i) took 76ms
Step 2 took 112267ms
********** Factor found in step 2: 2132733466305406944552656449501978228207906169
Found probable prime factor of 46 digits: 2132733466305406944552656449501978228207906169
Composite cofactor 20741477651634618509554333916716248310117115165561874059497125254379027379798724302391029290176171106591409645847649344395603795203243623261261097952977784729230037791598157191350396059712976936770526320385321476181393851481004431180911094128990124657 has 251 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
403e6200Lionel DebrouxFebruary 15, 2010 13:40:20 UTC 2010 年 2 月 15 日 (月) 22 時 40 分 20 秒 (日本時間)
4511e650Lionel DebrouxFebruary 16, 2010 20:34:23 UTC 2010 年 2 月 17 日 (水) 5 時 34 分 23 秒 (日本時間)
5043e6323510Lionel DebrouxFebruary 15, 2010 13:53:30 UTC 2010 年 2 月 15 日 (月) 22 時 53 分 30 秒 (日本時間)
10Lionel DebrouxFebruary 15, 2010 16:08:53 UTC 2010 年 2 月 16 日 (火) 1 時 8 分 53 秒 (日本時間)
150Lionel DebrouxFebruary 16, 2010 07:38:27 UTC 2010 年 2 月 16 日 (火) 16 時 38 分 27 秒 (日本時間)
50Lionel DebrouxFebruary 16, 2010 15:36:20 UTC 2010 年 2 月 17 日 (水) 0 時 36 分 20 秒 (日本時間)
1600Markus TervoorenMarch 7, 2010 23:32:55 UTC 2010 年 3 月 8 日 (月) 8 時 32 分 55 秒 (日本時間)
820Dmitry DomanovMarch 9, 2010 07:46:26 UTC 2010 年 3 月 9 日 (火) 16 時 46 分 26 秒 (日本時間)
595yoyo@homeMarch 19, 2010 06:41:06 UTC 2010 年 3 月 19 日 (金) 15 時 41 分 6 秒 (日本時間)
5511e71795 / 16610yoyo@homeSeptember 28, 2010 14:10:10 UTC 2010 年 9 月 28 日 (火) 23 時 10 分 10 秒 (日本時間)

5×10300-1

c255

composite cofactor 合成数の残り
390618097401566377522933719307384801192602986300646859370367931148000202291598917893560038267689544235286095461048178254159919988406277938982466624986401532121365732240332988438096480652284716502695438905699801158632694525799968505694388335852184233045779<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 14, 2010 15:00:00 UTC 2010 年 2 月 15 日 (月) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 25, 2010 15:21:53 UTC 2010 年 9 月 26 日 (日) 0 時 21 分 53 秒 (日本時間)
403e6110Ignacio SantosSeptember 25, 2010 15:21:53 UTC 2010 年 9 月 26 日 (日) 0 時 21 分 53 秒 (日本時間)
4511e632Ignacio SantosSeptember 25, 2010 15:21:53 UTC 2010 年 9 月 26 日 (日) 0 時 21 分 53 秒 (日本時間)
5043e61260300Dmitry DomanovNovember 12, 2010 17:40:19 UTC 2010 年 11 月 13 日 (土) 2 時 40 分 19 秒 (日本時間)
480Dmitry DomanovJune 17, 2011 22:43:20 UTC 2011 年 6 月 18 日 (土) 7 時 43 分 20 秒 (日本時間)
480Dmitry DomanovJune 18, 2011 23:24:42 UTC 2011 年 6 月 19 日 (日) 8 時 24 分 42 秒 (日本時間)
5511e72615 / 17317yoyo@homeOctober 4, 2011 07:15:06 UTC 2011 年 10 月 4 日 (火) 16 時 15 分 6 秒 (日本時間)