Table of contents 目次

10173-9

c161

name 名前Tyler Cadigan
date 日付September 27, 2006 13:32:44 UTC 2006 年 9 月 27 日 (水) 22 時 32 分 44 秒 (日本時間)
composite number 合成数
98638539366573120452994767723440582424050055416812167532315793178419311373542771635535734084350490583679502593832805512478586901259119729035900095445164099717751<161>
prime factors 素因数
938580727415304869460365420846237262713037883<45>
105093292974603519781220816145515742537483095614362298755215504949519619870717052285912811121252640366779911913175797<117>
factorization results 素因数分解の結果
Number: 99991_173
N=98638539366573120452994767723440582424050055416812167532315793178419311373542771635535734084350490583679502593832805512478586901259119729035900095445164099717751
  ( 161 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=938580727415304869460365420846237262713037883 (pp45)
 r2=105093292974603519781220816145515742537483095614362298755215504949519619870717052285912811121252640366779911913175797 (pp117)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 255.28 hours.
Scaled time: 222.86 units (timescale=0.873).
Factorization parameters were as follows:
n: 98638539366573120452994767723440582424050055416812167532315793178419311373542771635535734084350490583679502593832805512478586901259119729035900095445164099717751
m: 10000000000000000000000000000000000
c5: 1000
c0: -9
skew: 1
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, 9700001)
Primes: RFBsize:501962, AFBsize:500591, largePrimes:6358041 encountered
Relations: rels:6796903, finalFF:1124380
Max relations in full relation-set: 0
Initial matrix: 1002620 x 1124380 with sparse part having weight 61398959.
Pruned matrix : 897151 x 902228 with weight 46452392.
Total sieving time: 207.68 hours.
Total relation processing time: 1.52 hours.
Matrix solve time: 45.57 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 255.28 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS-0.77.1-20060722-pentium4
execution environment 実行環境
windows xp professional, 1 gig RAM, 3.2 ghz p4, cygwin

10177-9

c150

name 名前matsui
date 日付May 5, 2008 21:11:16 UTC 2008 年 5 月 6 日 (火) 6 時 11 分 16 秒 (日本時間)
composite number 合成数
318502728935809954002509561087485010327351554728615657106064751195435717694394036448608577571954357904487482813391637647426139449497421967533072287591<150>
prime factors 素因数
166539912927088863044604457888822597127041055210868917788027<60>
1912470850607748174543437500075957519331332156283120157980757697449058309385972258440240133<91>
factorization results 素因数分解の結果
N=318502728935809954002509561087485010327351554728615657106064751195435717694394036448608577571954357904487482813391637647426139449497421967533072287591
  ( 150 digits)

SNFS difficulty: 177 digits.

Divisors found:

 r1=166539912927088863044604457888822597127041055210868917788027 (pp60)

 r2=1912470850607748174543437500075957519331332156283120157980757697449058309385972258440240133 (pp91)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 284.83 hours.

Scaled time: 483.93 units (timescale=1.699).

Factorization parameters were as follows:

n: 318502728935809954002509561087485010327351554728615657106064751195435717694394036448608577571954357904487482813391637647426139449497421967533072287591
m: 100000000000000000000000000000000000
c5: 100
c0: -9
skew: 0.62
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, 14800001)

Primes: RFBsize:501962, AFBsize:501986, largePrimes:6735594 encountered

Relations: rels:7221193, finalFF:1133995

Max relations in full relation-set: 28

Initial matrix: 1004012 x 1133995 with sparse part having weight 89857824.

Pruned matrix : 899749 x 904833 with weight 71278579.

Total sieving time: 266.47 hours.

Total relation processing time: 0.17 hours.

Matrix solve time: 17.92 hours.

Time per square root: 0.28 hours.

Prototype def-par.txt line would be:

snfs,177,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 284.83 hours.

10179-9

c155

name 名前Wataru Sakai
date 日付May 18, 2008 10:55:40 UTC 2008 年 5 月 18 日 (日) 19 時 55 分 40 秒 (日本時間)
composite number 合成数
20788452954924146764603039522194137117407445350777136241530147122589364351329595415517377430574666346326413082578657526895364119580095412547818049498318799<155>
prime factors 素因数
546906270091264303592773419636796433846880957980999<51>
38010997664106318499368894010475771853596823493322466917536870017901952887416421331572081502939677862201<104>
factorization results 素因数分解の結果
Number: 99991_179
N=20788452954924146764603039522194137117407445350777136241530147122589364351329595415517377430574666346326413082578657526895364119580095412547818049498318799
  ( 155 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=546906270091264303592773419636796433846880957980999 (pp51)
 r2=38010997664106318499368894010475771853596823493322466917536870017901952887416421331572081502939677862201 (pp104)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 378.09 hours.
Scaled time: 732.36 units (timescale=1.937).
Factorization parameters were as follows:
n: 20788452954924146764603039522194137117407445350777136241530147122589364351329595415517377430574666346326413082578657526895364119580095412547818049498318799
m: 1000000000000000000000000000000000000
c5: 1
c0: -90
skew: 2.46
type: snfsFactor 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, 
)
Primes: RFBsize:501962, AFBsize:502106, largePrimes:6681820 encountered
Relations: rels:7298544, finalFF:1280046
Max relations in full relation-set: 32
Initial matrix: 1004132 x 1280046 with sparse part having weight 79504127.
Pruned matrix : 763803 x 768887 with weight 58674310.
Total sieving time: 372.79 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 5.00 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 378.09 hours.
 --------- CPU info (if available) ----------

10181-9

c169

name 名前Wataru Sakai
date 日付May 12, 2008 14:17:41 UTC 2008 年 5 月 12 日 (月) 23 時 17 分 41 秒 (日本時間)
composite number 合成数
3454732649268037140651629992081894263362774944623633726957884046515864376096038447979084779442532000245131642678651564893028283221292314837219802797322498616193908862431<169>
prime factors 素因数
118046288030005689138006772776064145473173086074955176614021148886231992477409<78>
29265915150079883819125682044728327718073357005292178916251770323960139756081440411297901759<92>
factorization results 素因数分解の結果
Number: 99991
N=3454732649268037140651629992081894263362774944623633726957884046515864376096038447979084779442532000245131642678651564893028283221292314837219802797322498616193908862431
  ( 169 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=118046288030005689138006772776064145473173086074955176614021148886231992477409 (pp78)
 r2=29265915150079883819125682044728327718073357005292178916251770323960139756081440411297901759 (pp92)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 438.14 hours.
Scaled time: 880.23 units (timescale=2.009).
Factorization parameters were as follows:
n: 3454732649268037140651629992081894263362774944623633726957884046515864376096038447979084779442532000245131642678651564893028283221292314837219802797322498616193908862431
m: 1000000000000000000000000000000000000
c5: 10
c0: -9
skew: 0.98
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, 9400001)
Primes: RFBsize:501962, AFBsize:501581, largePrimes:6755535 encountered
Relations: rels:7413387, finalFF:1315241
Max relations in full relation-set: 32
Initial matrix: 1003610 x 1315241 with sparse part having weight 83791927.
Pruned matrix : 736585 x 741667 with weight 65509568.
Total sieving time: 433.29 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.53 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 438.14 hours.
 --------- CPU info (if available) ----------

10183-9

c183

name 名前Wataru Sakai
date 日付October 9, 2006 06:37:10 UTC 2006 年 10 月 9 日 (月) 15 時 37 分 10 秒 (日本時間)
composite number 合成数
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<183>
prime factors 素因数
49314675241585004778040302476198275634070752715382741171333<59>
27179661213248372553517898319953454110361829996769269348594493<62>
746070354608195431221196594309881696831382401936346066887929639<63>
factorization results 素因数分解の結果
Number: test
N=999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
  ( 183 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=49314675241585004778040302476198275634070752715382741171333 (pp59)
 r2=27179661213248372553517898319953454110361829996769269348594493 (pp62)
 r3=746070354608195431221196594309881696831382401936346066887929639 (pp63)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 693.77 hours.
Scaled time: 870.68 units (timescale=1.255).
Factorization parameters were as follows:
n: 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991
m: 1000000000000000000000000000000000000
c5: 1000
c0: -9
skew: 1
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, 10400001)
Primes: RFBsize:501962, AFBsize:500591, largePrimes:6582409 encountered
Relations: rels:7042426, finalFF:1138240
Max relations in full relation-set: 28
Initial matrix: 1002620 x 1138240 with sparse part having weight 77666909.
Pruned matrix : 890943 x 896020 with weight 60231765.
Total sieving time: 658.07 hours.
Total relation processing time: 1.06 hours.
Matrix solve time: 34.33 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 693.77 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS-0.77.1-20060513-pentium4
execution environment 実行環境
Pentium 4 3GHz, Windows XP and Cygwin

10185-9

c179

name 名前Wataru Sakai
date 日付May 17, 2008 10:18:04 UTC 2008 年 5 月 17 日 (土) 19 時 18 分 4 秒 (日本時間)
composite number 合成数
34079945417559419236834150286424901261878138975972616082258082655454819023561851863338055677770026483525583985424688943818187580790770605501798228319957522756031553939863209915083<179>
prime factors 素因数
2538313576960440629507448895847540063266132079<46>
29377049543046125556029128856057470051512089568061282636870001<62>
457030771896922620319211488891391699946102749496004569879285614325665077<72>
factorization results 素因数分解の結果
Number: 99991_185
N=34079945417559419236834150286424901261878138975972616082258082655454819023561851863338055677770026483525583985424688943818187580790770605501798228319957522756031553939863209915083
  ( 179 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=2538313576960440629507448895847540063266132079 (pp46)
 r2=29377049543046125556029128856057470051512089568061282636870001 (pp62)
 r3=457030771896922620319211488891391699946102749496004569879285614325665077 (pp72)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 551.24 hours.
Scaled time: 1091.46 units (timescale=1.980).
Factorization parameters were as follows:
n: 34079945417559419236834150286424901261878138975972616082258082655454819023561851863338055677770026483525583985424688943818187580790770605501798228319957522756031553939863209915083
m: 10000000000000000000000000000000000000
c5: 1
c0: -9
skew: 1.55
type: snfsFactor 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, 10800001)
Primes: RFBsize:501962, AFBsize:501561, largePrimes:6796158 encountered
Relations: rels:7433227, finalFF:1293690
Max relations in full relation-set: 32
Initial matrix: 1003587 x 1293690 with sparse part having weight 91676647.
Pruned matrix : 758115 x 763196 with weight 74168224.
Total sieving time: 544.72 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 6.19 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 551.24 hours.
 --------- CPU info (if available) ----------

10189-9

c139

name 名前Wataru Sakai
date 日付June 14, 2008 12:33:07 UTC 2008 年 6 月 14 日 (土) 21 時 33 分 7 秒 (日本時間)
composite number 合成数
6996625878416692438029157723410875624263386189411081125190307294339622079250688809160942796831099033973415942935043602179220749546094656551<139>
prime factors 素因数
8147900155250040965434833800626154533552907527597<49>
858702947397860145236409007951942850049599814990863975327405594646045661188912043740978083<90>
factorization results 素因数分解の結果
Number: 99991_189
N=6996625878416692438029157723410875624263386189411081125190307294339622079250688809160942796831099033973415942935043602179220749546094656551
  ( 139 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=8147900155250040965434833800626154533552907527597 (pp49)
 r2=858702947397860145236409007951942850049599814990863975327405594646045661188912043740978083 (pp90)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 1147.35 hours.
Scaled time: 2311.91 units (timescale=2.015).
Factorization parameters were as follows:
n: 6996625878416692438029157723410875624263386189411081125190307294339622079250688809160942796831099033973415942935043602179220749546094656551
m: 100000000000000000000000000000000000000
c5: 1
c0: -90
skew: 2.46
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, 19900001)
Primes: RFBsize:501962, AFBsize:502106, largePrimes:7170030 encountered
Relations: rels:7740301, finalFF:1148030
Max relations in full relation-set: 32
Initial matrix: 1004132 x 1148030 with sparse part having weight 138656677.
Pruned matrix : 902449 x 907533 with weight 118637521.
Total sieving time: 1134.16 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 12.76 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 1147.35 hours.

10191-9

c162

name 名前Tyler Cadigan
date 日付August 15, 2008 15:09:36 UTC 2008 年 8 月 16 日 (土) 0 時 9 分 36 秒 (日本時間)
composite number 合成数
201007120753913992913726676871999752197866484593647274473058062430107124951627993332234694165639979396161961186666496539291615060870044793869267715322527456739907<162>
prime factors 素因数
1107810740439824418721011542356263180679141608975450841<55>
181445361934394941929618652274442590996558678743985524419560737457231701804057845993063138605270872862639227<108>
factorization results 素因数分解の結果
Number: 99991_191
N=201007120753913992913726676871999752197866484593647274473058062430107124951627993332234694165639979396161961186666496539291615060870044793869267715322527456739907
  ( 162 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=1107810740439824418721011542356263180679141608975450841
 r2=181445361934394941929618652274442590996558678743985524419560737457231701804057845993063138605270872862639227
Version: 
Total time: 363.74 hours.
Scaled time: 939.54 units (timescale=2.583).
Factorization parameters were as follows:
n: 201007120753913992913726676871999752197866484593647274473058062430107124951627993332234694165639979396161961186666496539291615060870044793869267715322527456739907
m: 100000000000000000000000000000000000000
Y0: -100000000000000000000000000000000000000
Y1: 1
c5: 10
c0: -9
skew: 0.98
type: snfs
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
rlim: 20000000
alim: 20000000
qintsize: 1000000Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved algebraic special-q in [10000000, 15000001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2351993 x 2352241
Total sieving time: 363.74 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,58,58,2.6,2.6,100000
total time: 363.74 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve
execution environment 実行環境
Q6660 2.4 Ghz C2Q, 4 GB ram, windows vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350suberiAugust 1, 2008 05:45:18 UTC 2008 年 8 月 1 日 (金) 14 時 45 分 18 秒 (日本時間)

10193-9

c164

name 名前Serge Batalov
date 日付September 2, 2008 07:15:20 UTC 2008 年 9 月 2 日 (火) 16 時 15 分 20 秒 (日本時間)
composite number 合成数
50274891495756964747055055496890986637122321939508209584006709525221053605515373965266365474014162871727873923935469195773083682555289322275596819198059208928831231<164>
prime factors 素因数
114623516402068263048374107148074526153902078826891749923032115067<66>
438608874285502256844751510885066987832289149361752461518587566928513572528389208388687896598390093<99>
factorization results 素因数分解の結果
# the Labor day weekend (idle computers) motivated me to finish the 99991 series.
# 1 day on 20cpu + 7 hrs Lanczos
#
Number: 99991_193
N=50274891495756964747055055496890986637122321939508209584006709525221053605515373965266365474014162871727873923935469195773083682555289322275596819198059208928831231
  ( 164 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=114623516402068263048374107148074526153902078826891749923032115067
 r2=438608874285502256844751510885066987832289149361752461518587566928513572528389208388687896598390093
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 50274891495756964747055055496890986637122321939508209584006709525221053605515373965266365474014162871727873923935469195773083682555289322275596819198059208928831231
Y1: 1
Y0: -100000000000000000000000000000000000000
c5: 1000
c0: -9
skew: 0.39
type: snfs
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
#qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [7500000, 15100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: 63000000 relations (had to throw away 10000000) => 53000000
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1729622 x 1729870
Total sieving time: 380.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 7.30 hours.
Time per square root: 0.40 hours * (4 sqrts)
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,58,58,2.5,2.5,100000
total time: 389.00 hours.
software ソフトウェア
Msieve-1.37; 64-bit sievers (Childers)
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62350suberiAugust 1, 2008 09:49:43 UTC 2008 年 8 月 1 日 (金) 18 時 49 分 43 秒 (日本時間)

10201-9

c192

name 名前Robert Backstrom
date 日付October 24, 2010 20:36:38 UTC 2010 年 10 月 25 日 (月) 5 時 36 分 38 秒 (日本時間)
composite number 合成数
249904221895344556666720330266262399972283422634653609633562048234565156733954012335697729739873193504762259944825241236662567631826351956219023464231366284731238619035297496158095570410256243<192>
prime factors 素因数
5261202985223735255465500871721497980723362277<46>
47499445012330626928361523053193565699838419928021576640035083669627748973196174131631178336390098019060179902823907038409021606291865217815344759<146>
factorization results 素因数分解の結果
Number: n
N=249904221895344556666720330266262399972283422634653609633562048234565156733954012335697729739873193504762259944825241236662567631826351956219023464231366284731238619035297496158095570410256243
  ( 192 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct 25 06:14:41 2010  prp46 factor: 5261202985223735255465500871721497980723362277
Mon Oct 25 06:14:41 2010  prp146 factor: 47499445012330626928361523053193565699838419928021576640035083669627748973196174131631178336390098019060179902823907038409021606291865217815344759
Mon Oct 25 06:14:41 2010  elapsed time 08:55:05 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
name: KA_9_200_1
n: 249904221895344556666720330266262399972283422634653609633562048234565156733954012335697729739873193504762259944825241236662567631826351956219023464231366284731238619035297496158095570410256243
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10
c0: -9
skew: 0.98
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4686703 hash collisions in 42741507 relations
Msieve: matrix is 2429355 x 2429580 (691.1 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,201,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
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
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6703Dmitry DomanovJune 30, 2009 07:17:04 UTC 2009 年 6 月 30 日 (火) 16 時 17 分 4 秒 (日本時間)
5043e61090 / 6769yoyo@homeFebruary 26, 2010 10:00:19 UTC 2010 年 2 月 26 日 (金) 19 時 0 分 19 秒 (日本時間)
5511e7260 / 17337yoyo@homeDecember 22, 2010 17:20:06 UTC 2010 年 12 月 23 日 (木) 2 時 20 分 6 秒 (日本時間)

10209-9

c169

name 名前Serge Batalov
date 日付October 24, 2008 00:51:34 UTC 2008 年 10 月 24 日 (金) 9 時 51 分 34 秒 (日本時間)
composite number 合成数
1678635360696814503848915918836435179628951730024041526686316235225241241718783541372185601138353595916740930332891728295141592757634816569661242659286803498780039352801<169>
prime factors 素因数
11779221979625493750760591465889<32>
142508169351112330751625366154027236299106678544471738141095195169427914114649935286029433461028125436734063605464802185882769616072838209<138>
factorization results 素因数分解の結果
Using B1=6000000, B2=35128842850, polynomial Dickson(12), sigma=2769882817
Step 1 took 40563ms
********** Factor found in step 1: 11779221979625493750760591465889
Found probable prime factor of 32 digits: 11779221979625493750760591465889
Probable prime cofactor 142508169351112330751625366154027236299106678544471738141095195169427914114649935286029433461028125436734063605464802185882769616072838209 has 138 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)

10211-9

c197

name 名前Beyond
date 日付December 23, 2010 02:16:02 UTC 2010 年 12 月 23 日 (木) 11 時 16 分 2 秒 (日本時間)
composite number 合成数
67747107863082587477105411424345224422609764780486975662919251562496210922051419090545191361372504591023718788106923394075955127723744255135025064125333852948168854328720952394254817713278429554969<197>
prime factors 素因数
68878159325299765945246977936034825607399<41>
983578953425926847710613602049766331694128475926482108270643138075096243845666654271015003645058184620175168273341702523688682742773415924321517405178834431<156>
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 67747107863082587477105411424345224422609764780486975662919251562496210922051419090545191361372504591023718788106923394075955127723744255135025064125333852948168854328720952394254817713278429554969 (197 digits)
[Wed Dec 22 17:08:42 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1408185980
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 453609ms
Using 24 small primes for NTT
Estimated memory usage: 559M
Initializing tables of differences for F took 297ms
Computing roots of F took 21500ms
Building F from its roots took 14140ms
Computing 1/F took 6625ms
Initializing table of differences for G took 250ms
Computing roots of G took 18313ms
Building G from its roots took 12734ms
Computing roots of G took 18016ms
Building G from its roots took 12609ms
Computing G * H took 3562ms
Reducing  G * H mod F took 3422ms
Computing roots of G took 18281ms
Building G from its roots took 12610ms
Computing G * H took 3500ms
Reducing  G * H mod F took 3406ms
Computing roots of G took 18094ms
Building G from its roots took 12765ms
Computing G * H took 3563ms
Reducing  G * H mod F took 3453ms
Computing polyeval(F,G) took 24984ms
Computing product of all F(g_i) took 109ms
Step 2 took 213016ms
********** Factor found in step 2: 68878159325299765945246977936034825607399
Found probable prime factor of 41 digits: 68878159325299765945246977936034825607399
Probable prime cofactor 983578953425926847710613602049766331694128475926482108270643138075096243845666654271015003645058184620175168273341702523688682742773415924321517405178834431 has 156 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6703Dmitry DomanovJune 30, 2009 07:17:19 UTC 2009 年 6 月 30 日 (火) 16 時 17 分 19 秒 (日本時間)
5043e61096 / 59451090yoyo@homeFebruary 26, 2010 10:35:06 UTC 2010 年 2 月 26 日 (金) 19 時 35 分 6 秒 (日本時間)
2hasatgMay 24, 2010 11:29:00 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 0 秒 (日本時間)
2hasatgMay 24, 2010 11:29:00 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 0 秒 (日本時間)
2hasatgMay 24, 2010 11:29:01 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 1 秒 (日本時間)
5511e7561 / 172832hasatgMay 24, 2010 11:29:00 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 0 秒 (日本時間)
2hasatgMay 24, 2010 11:29:00 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 0 秒 (日本時間)
2hasatgMay 24, 2010 11:29:01 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 1 秒 (日本時間)
555yoyo@homeDecember 22, 2010 20:55:04 UTC 2010 年 12 月 23 日 (木) 5 時 55 分 4 秒 (日本時間)
6026e76 / 416482hasatgMay 24, 2010 11:29:00 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 0 秒 (日本時間)
2hasatgMay 24, 2010 11:29:00 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 0 秒 (日本時間)
2hasatgMay 24, 2010 11:29:01 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 1 秒 (日本時間)
6585e76 / 693262hasatgMay 24, 2010 11:29:00 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 0 秒 (日本時間)
2hasatgMay 24, 2010 11:29:00 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 0 秒 (日本時間)
2hasatgMay 24, 2010 11:29:01 UTC 2010 年 5 月 24 日 (月) 20 時 29 分 1 秒 (日本時間)

10213-9

c141

name 名前Serge Batalov
date 日付January 9, 2009 01:09:33 UTC 2009 年 1 月 9 日 (金) 10 時 9 分 33 秒 (日本時間)
composite number 合成数
363751872966986859147527985949582795575218748140587332897669362335754803553870812649166417105950082474670291181171653500665333882601932621071<141>
prime factors 素因数
2732757469571315596232602778709665753077<40>
composite cofactor 合成数の残り
133107996965441716078569858100441760864844458768441551457233330059494248457182487821678740490382903923<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1234666248
Step 1 took 43505ms
Step 2 took 20647ms
********** Factor found in step 2: 2732757469571315596232602778709665753077
Found probable prime factor of 40 digits: 2732757469571315596232602778709665753077
Composite cofactor 133107996965441716078569858100441760864844458768441551457233330059494248457182487821678740490382903923 has 102 digits
software ソフトウェア
GMP-ECM 6.2.1

c102

name 名前Sinkiti Sibata
date 日付January 10, 2009 05:02:19 UTC 2009 年 1 月 10 日 (土) 14 時 2 分 19 秒 (日本時間)
composite number 合成数
133107996965441716078569858100441760864844458768441551457233330059494248457182487821678740490382903923<102>
prime factors 素因数
582858443410441071978771347365210311353479<42>
228371053847304148819820096048179809718818515793823952998837<60>
factorization results 素因数分解の結果
Fri Jan 09 16:34:18 2009  Msieve v. 1.39
Fri Jan 09 16:34:18 2009  random seeds: 70bd276c 631bbe8b
Fri Jan 09 16:34:18 2009  factoring 133107996965441716078569858100441760864844458768441551457233330059494248457182487821678740490382903923 (102 digits)
Fri Jan 09 16:34:19 2009  searching for 15-digit factors
Fri Jan 09 16:34:21 2009  commencing quadratic sieve (102-digit input)
Fri Jan 09 16:34:21 2009  using multiplier of 43
Fri Jan 09 16:34:21 2009  using 32kb Intel Core sieve core
Fri Jan 09 16:34:21 2009  sieve interval: 36 blocks of size 32768
Fri Jan 09 16:34:21 2009  processing polynomials in batches of 6
Fri Jan 09 16:34:21 2009  using a sieve bound of 3041849 (110000 primes)
Fri Jan 09 16:34:21 2009  using large prime bound of 456277350 (28 bits)
Fri Jan 09 16:34:21 2009  using double large prime bound of 3860219537782800 (44-52 bits)
Fri Jan 09 16:34:21 2009  using trial factoring cutoff of 52 bits
Fri Jan 09 16:34:21 2009  polynomial 'A' values have 13 factors
Sat Jan 10 09:09:01 2009  110123 relations (26170 full + 83953 combined from 1641709 partial), need 110096
Sat Jan 10 09:09:03 2009  begin with 1667879 relations
Sat Jan 10 09:09:04 2009  reduce to 289724 relations in 11 passes
Sat Jan 10 09:09:04 2009  attempting to read 289724 relations
Sat Jan 10 09:09:10 2009  recovered 289724 relations
Sat Jan 10 09:09:10 2009  recovered 281939 polynomials
Sat Jan 10 09:09:10 2009  attempting to build 110123 cycles
Sat Jan 10 09:09:11 2009  found 110123 cycles in 6 passes
Sat Jan 10 09:09:11 2009  distribution of cycle lengths:
Sat Jan 10 09:09:11 2009     length 1 : 26170
Sat Jan 10 09:09:11 2009     length 2 : 18921
Sat Jan 10 09:09:11 2009     length 3 : 18607
Sat Jan 10 09:09:11 2009     length 4 : 14860
Sat Jan 10 09:09:11 2009     length 5 : 11537
Sat Jan 10 09:09:11 2009     length 6 : 7928
Sat Jan 10 09:09:11 2009     length 7 : 5001
Sat Jan 10 09:09:11 2009     length 9+: 7099
Sat Jan 10 09:09:11 2009  largest cycle: 20 relations
Sat Jan 10 09:09:11 2009  matrix is 110000 x 110123 (32.4 MB) with weight 8061711 (73.21/col)
Sat Jan 10 09:09:11 2009  sparse part has weight 8061711 (73.21/col)
Sat Jan 10 09:09:13 2009  filtering completed in 3 passes
Sat Jan 10 09:09:13 2009  matrix is 105828 x 105892 (31.4 MB) with weight 7802831 (73.69/col)
Sat Jan 10 09:09:13 2009  sparse part has weight 7802831 (73.69/col)
Sat Jan 10 09:09:13 2009  saving the first 48 matrix rows for later
Sat Jan 10 09:09:13 2009  matrix is 105780 x 105892 (22.7 MB) with weight 6525771 (61.63/col)
Sat Jan 10 09:09:13 2009  sparse part has weight 5323421 (50.27/col)
Sat Jan 10 09:09:13 2009  matrix includes 64 packed rows
Sat Jan 10 09:09:13 2009  using block size 42356 for processor cache size 1024 kB
Sat Jan 10 09:09:15 2009  commencing Lanczos iteration
Sat Jan 10 09:09:15 2009  memory use: 20.0 MB
Sat Jan 10 09:10:45 2009  lanczos halted after 1674 iterations (dim = 105780)
Sat Jan 10 09:10:45 2009  recovered 18 nontrivial dependencies
Sat Jan 10 09:10:46 2009  prp42 factor: 582858443410441071978771347365210311353479
Sat Jan 10 09:10:46 2009  prp60 factor: 228371053847304148819820096048179809718818515793823952998837
Sat Jan 10 09:10:46 2009  elapsed time 16:36:28

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e6400 / 2336Serge BatalovNovember 21, 2008 08:06:41 UTC 2008 年 11 月 21 日 (金) 17 時 6 分 41 秒 (日本時間)

10215-9

c145

name 名前RSALS + Lionel Debroux
date 日付January 18, 2010 06:00:14 UTC 2010 年 1 月 18 日 (月) 15 時 0 分 14 秒 (日本時間)
composite number 合成数
6809795855132386932268768058797247249564627617796635589461142175629957513836174861256364231921100789981714448952536784503183037249551735551532917<145>
prime factors 素因数
2031018113505496462220321903754922682889648655476894486580067<61>
3352897647662440631906154229484831315859319119234485730141072200179474981221188148551<85>
factorization results 素因数分解の結果
Msieve v. 1.44
Sun Jan 17 11:13:57 2010
random seeds: 8ce283f7 5d7c04f2
factoring 6809795855132386932268768058797247249564627617796635589461142175629957513836174861256364231921100789981714448952536784503183037249551735551532917 (145 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (145-digit input)
R0: -4919844889955314664736463986
R1:  36107967870021619
A0: -254221275642628811603901127691075
A1: -25688803695719718038156832175
A2:  12657570776699355493967
A3:  585729549717294707
A4: -4304939438992
A5:  2362560
skew 261705.93, size 5.091462e-14, alpha -6.680874, combined = 1.107383e-11

commencing linear algebra
read 2131701 cycles
cycles contain 6016107 unique relations
read 6016107 relations
using 20 quadratic characters above 536859890
building initial matrix
memory use: 815.3 MB
read 2131701 cycles
matrix is 2131325 x 2131701 (632.1 MB) with weight 197970463 (92.87/col)
sparse part has weight 140131486 (65.74/col)
filtering completed in 3 passes
matrix is 2126317 x 2126517 (631.2 MB) with weight 197648871 (92.94/col)
sparse part has weight 139951555 (65.81/col)
read 2126517 cycles
matrix is 2126317 x 2126517 (631.2 MB) with weight 197648871 (92.94/col)
sparse part has weight 139951555 (65.81/col)
saving the first 48 matrix rows for later
matrix is 2126269 x 2126517 (606.1 MB) with weight 157199442 (73.92/col)
sparse part has weight 137625632 (64.72/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 609.4 MB
linear algebra at 0.0%, ETA 13h11m26517 dimensions (0.0%, ETA 13h11m)
linear algebra completed 2126178 of 2126517 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 33627 iterations (dim = 2126269)
recovered 32 nontrivial dependencies
BLanczosTime: 66145

commencing square root phase
reading relations for dependency 1
read 1062417 cycles
cycles contain 3004774 unique relations
read 3004774 relations
multiplying 3004774 relations
multiply complete, coefficients have about 166.58 million bits
initial square root is modulo 951299
sqrtTime: 3954
prp61 factor: 2031018113505496462220321903754922682889648655476894486580067
prp85 factor: 3352897647662440631906154229484831315859319119234485730141072200179474981221188148551
elapsed time 19:28:21
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovOctober 24, 2008 03:24:17 UTC 2008 年 10 月 24 日 (金) 12 時 24 分 17 秒 (日本時間)
403e62164Serge BatalovNovember 21, 2008 06:28:40 UTC 2008 年 11 月 21 日 (金) 15 時 28 分 40 秒 (日本時間)
4511e62000Serge BatalovJanuary 9, 2009 06:15:41 UTC 2009 年 1 月 9 日 (金) 15 時 15 分 41 秒 (日本時間)
5043e64864625Serge BatalovJanuary 9, 2009 06:15:41 UTC 2009 年 1 月 9 日 (金) 15 時 15 分 41 秒 (日本時間)
875Serge BatalovJanuary 9, 2009 18:39:23 UTC 2009 年 1 月 10 日 (土) 3 時 39 分 23 秒 (日本時間)
674Serge BatalovJanuary 9, 2009 18:48:07 UTC 2009 年 1 月 10 日 (土) 3 時 48 分 7 秒 (日本時間)
2500Markus TervoorenApril 28, 2009 01:07:11 UTC 2009 年 4 月 28 日 (火) 10 時 7 分 11 秒 (日本時間)
190Dmitry DomanovJune 30, 2009 07:18:09 UTC 2009 年 6 月 30 日 (火) 16 時 18 分 9 秒 (日本時間)
5511e75000 / 15891Wataru SakaiDecember 23, 2009 02:35:28 UTC 2009 年 12 月 23 日 (水) 11 時 35 分 28 秒 (日本時間)

10217-9

c155

name 名前Dmitry Domanov
date 日付June 23, 2009 20:14:51 UTC 2009 年 6 月 24 日 (水) 5 時 14 分 51 秒 (日本時間)
composite number 合成数
21270794084087604016650779660527476526528382844493108281556100123577628870274924299543836954468514838537561953170556959847579919956473912494371150224629843<155>
prime factors 素因数
63325093119323060926195351466951<32>
335898346710792594131217225602531441026219994792367522422800950405251569979293410168943832776047737138867077267300064073493<123>
factorization results 素因数分解の結果
C155=P32*P123
C155=63325093119323060926195351466951<32>*335898346710792594131217225602531441026219994792367522422800950405251569979293410168943832776047737138867077267300064073493<123>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)

10221-9

c206

name 名前NFS@Home + Rich Dickerson
date 日付March 10, 2013 18:00:51 UTC 2013 年 3 月 11 日 (月) 3 時 0 分 51 秒 (日本時間)
composite number 合成数
44558448871375226540373951962642129976734728458907558245705265151925208084969966648536859456690150287256166432931650825893163912246227886931197577078948493557862621208139168368158344454752222607848944122693<206>
prime factors 素因数
36850738153946037699833073888315762312074676627959784020460159975565412938001265323416774184197<95>
1209160280188412847019449790563121287386700505551536085402478325764605328502237530282311862222195075490478082369<112>
factorization results 素因数分解の結果
prp95 factor: 36850738153946037699833073888315762312074676627959784020460159975565412938001265323416774184197
prp112 factor: 1209160280188412847019449790563121287386700505551536085402478325764605328502237530282311862222195075490478082369
software ソフトウェア
ggnfs-lasieve4I14e on the NFS@Home grid + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e61319600Dmitry DomanovMay 11, 2009 12:24:20 UTC 2009 年 5 月 11 日 (月) 21 時 24 分 20 秒 (日本時間)
719Dmitry DomanovJune 30, 2009 07:18:48 UTC 2009 年 6 月 30 日 (火) 16 時 18 分 48 秒 (日本時間)
5043e61010yoyo@homeFebruary 26, 2010 11:25:07 UTC 2010 年 2 月 26 日 (金) 20 時 25 分 7 秒 (日本時間)
5511e72605 / 17327yoyo@homeDecember 22, 2010 22:05:22 UTC 2010 年 12 月 23 日 (木) 7 時 5 分 22 秒 (日本時間)

10227-9

c205

name 名前Serge Batalov
date 日付October 24, 2008 01:31:47 UTC 2008 年 10 月 24 日 (金) 10 時 31 分 47 秒 (日本時間)
composite number 合成数
1775228889600698237087017754865480482604338780423811018872077097954400493665772884101345939990173751862872473264888201480815324302978084447502795208105042477385839572678548359571437187930633678906192927321<205>
prime factors 素因数
17786640496933624840678534245662351596213<41>
99806868526225823221956954125006142277499588289181858360905874746351256925536418640176658497489042909882373987832308907586475427226873597370517730462039750438400917<164>
factorization results 素因数分解の結果
Using B1=6000000, B2=35128842850, polynomial Dickson(12), sigma=1970878906
Step 1 took 50263ms
Step 2 took 28402ms
********** Factor found in step 2: 17786640496933624840678534245662351596213
Found probable prime factor of 41 digits: 17786640496933624840678534245662351596213
Probable prime cofactor 99806868526225823221956954125006142277499588289181858360905874746351256925536418640176658497489042909882373987832308907586475427226873597370517730462039750438400917 has 164 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)

10229-9

c159

name 名前Markus Tervooren
date 日付January 31, 2016 19:16:01 UTC 2016 年 2 月 1 日 (月) 4 時 16 分 1 秒 (日本時間)
composite number 合成数
198076438309253561849795232365833594541374500553926506867694836215975889824525581777816943842817121367207804026565527079559475898183958538727078029585103238133<159>
prime factors 素因数
5610711517790672169749230760590233614520263016485069957<55>
35303265491584220462484917502666866946881288911252887130288994412439136526096241686336731698847863432369<104>
factorization results 素因数分解の結果
Msieve v. 1.52 (SVN Nicht versioniertes Verzeichnis)
Sat Jan 30 17:15:22 2016
random seeds: f058c455 ad0c05f2
factoring 198076438309253561849795232365833594541374500553926506867694836215975889824525581777816943842817121367207804026565527079559475898183958538727078029585103238133 (159 digits)
searching for 15-digit factors
commencing number field sieve (159-digit input)
R0: -6736255585600157174973661383575
R1: 567895623026667907
A0: 32299695744675742831961544965165296278144
A1: 2919556952328914042883716766444924
A2: -1877712709564738694003495932
A3: -10111193862723041755
A4: 4612973929862
A5: 14280
skew 1.00, size 1.618e-15, alpha -8.143, combined = 5.664e-15 rroots = 5

commencing relation filtering
estimated available RAM is 31866.2 MB
commencing duplicate removal, pass 1
error -1 reading relation 7992487
read 10M relations
error -9 reading relation 16054667
read 20M relations
error -15 reading relation 24177356
read 30M relations
error -15 reading relation 32336372
read 40M relations
error -15 reading relation 40521292
error -15 reading relation 48720037
read 50M relations
error -15 reading relation 56943373
read 60M relations
error -15 reading relation 65170644
read 70M relations
read 80M relations
read 90M relations
read 100M relations
read 110M relations
error -15 reading relation 110734044
error -15 reading relation 119697891
read 120M relations
error -15 reading relation 128635851
read 130M relations
found 12439569 hash collisions in 137590418 relations
added 121747 free relations
commencing duplicate removal, pass 2
found 9507568 duplicates and 128204597 unique relations
memory use: 522.4 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 3012.0 MB
reading all ideals from disk
memory use: 4773.0 MB
keeping 142693341 ideals with weight <= 200, target excess is 777784
commencing in-memory singleton removal
begin with 128204596 relations and 142693341 unique ideals
reduce to 40836169 relations and 38203612 ideals in 24 passes
max relations containing the same ideal: 98
removing 4700012 relations and 4300012 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 36136157 relations and 38203612 unique ideals
reduce to 35668999 relations and 33429516 ideals in 14 passes
max relations containing the same ideal: 94
removing 3397478 relations and 2997478 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 32271521 relations and 33429516 unique ideals
reduce to 31986554 relations and 30143455 ideals in 10 passes
max relations containing the same ideal: 88
removing 2989892 relations and 2589892 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 28996662 relations and 30143455 unique ideals
reduce to 28747122 relations and 27300796 ideals in 11 passes
max relations containing the same ideal: 77
removing 2782554 relations and 2382554 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 25964568 relations and 27300796 unique ideals
reduce to 25723410 relations and 24673880 ideals in 12 passes
max relations containing the same ideal: 71
removing 1212429 relations and 1065129 ideals in 147300 cliques
commencing in-memory singleton removal
begin with 24510981 relations and 24673880 unique ideals
reduce to 24463963 relations and 23561466 ideals in 9 passes
max relations containing the same ideal: 68
relations with 0 large ideals: 3747
relations with 1 large ideals: 39365
relations with 2 large ideals: 335083
relations with 3 large ideals: 1576721
relations with 4 large ideals: 4256707
relations with 5 large ideals: 6773184
relations with 6 large ideals: 6429027
relations with 7+ large ideals: 5050129
commencing 2-way merge
reduce to 13429358 relation sets and 12526861 unique ideals
commencing full merge
memory use: 1325.1 MB
found 7172180 cycles, need 7049061
weight of 7049061 cycles is about 493585715 (70.02/cycle)
distribution of cycle lengths:
1 relations: 962427
2 relations: 939897
3 relations: 903117
4 relations: 777688
5 relations: 698243
6 relations: 584755
7 relations: 486783
8 relations: 404792
9 relations: 337589
10+ relations: 953770
heaviest cycle: 18 relations
commencing cycle optimization
start with 36581153 relations
pruned 493808 relations
memory use: 1346.7 MB
distribution of cycle lengths:
1 relations: 962427
2 relations: 955091
3 relations: 924558
4 relations: 787096
5 relations: 704647
6 relations: 584874
7 relations: 485900
8 relations: 401686
9 relations: 334082
10+ relations: 908700
heaviest cycle: 18 relations
RelProcTime: 1817

commencing linear algebra
read 7049061 cycles
cycles contain 23576609 unique relations
read 23576609 relations
using 20 quadratic characters above 2147481828
building initial matrix
memory use: 3176.3 MB
read 7049061 cycles
matrix is 7048869 x 7049061 (2167.5 MB) with weight 677138924 (96.06/col)
sparse part has weight 483618300 (68.61/col)
filtering completed in 2 passes
matrix is 7020549 x 7020736 (2165.3 MB) with weight 676121207 (96.30/col)
sparse part has weight 483364338 (68.85/col)
matrix starts at (0, 0)
matrix is 7020549 x 7020736 (2165.3 MB) with weight 676121207 (96.30/col)
sparse part has weight 483364338 (68.85/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 7020501 x 7020736 (2085.2 MB) with weight 540924612 (77.05/col)
sparse part has weight 476410132 (67.86/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 1695.9 MB
linear algebra at 0.0%, ETA 21h54m020736 dimensions (0.0%, ETA 21h54m)    
checkpointing every 320000 dimensions736 dimensions (0.0%, ETA 22h13m)    
linear algebra completed 7020316 of 7020736 dimensions (100.0%, ETA 0h 0m)    m)    
lanczos halted after 111020 iterations (dim = 7020501)
recovered 28 nontrivial dependencies
BLanczosTime: 85760

commencing square root phase
reading relations for dependency 1
read 3510405 cycles
cycles contain 11785346 unique relations
read 11785346 relations
multiplying 11785346 relations
multiply complete, coefficients have about 635.81 million bits
initial square root is modulo 506183
GCD is N, no factor found
reading relations for dependency 2
read 3510382 cycles
cycles contain 11787084 unique relations
read 11787084 relations
multiplying 11787084 relations
multiply complete, coefficients have about 635.91 million bits
initial square root is modulo 507103
sqrtTime: 3378
prp55 factor: 5610711517790672169749230760590233614520263016485069957
prp104 factor: 35303265491584220462484917502666866946881288911252887130288994412439136526096241686336731698847863432369
elapsed time 25:15:56

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovOctober 24, 2008 03:24:48 UTC 2008 年 10 月 24 日 (金) 12 時 24 分 48 秒 (日本時間)
403e60--
4511e655781284Serge BatalovJanuary 5, 2009 23:26:49 UTC 2009 年 1 月 6 日 (火) 8 時 26 分 49 秒 (日本時間)
710Dmitry DomanovJune 30, 2009 07:19:18 UTC 2009 年 6 月 30 日 (火) 16 時 19 分 18 秒 (日本時間)
3584Dmitry DomanovFebruary 11, 2010 19:59:18 UTC 2010 年 2 月 12 日 (金) 4 時 59 分 18 秒 (日本時間)
5043e61010yoyo@homeFebruary 26, 2010 12:10:05 UTC 2010 年 2 月 26 日 (金) 21 時 10 分 5 秒 (日本時間)
5511e72969 / 164212205yoyo@homeDecember 22, 2010 23:50:05 UTC 2010 年 12 月 23 日 (木) 8 時 50 分 5 秒 (日本時間)
18Andreas TeteFebruary 8, 2014 19:40:12 UTC 2014 年 2 月 9 日 (日) 4 時 40 分 12 秒 (日本時間)
100Andreas TeteFebruary 10, 2014 21:07:17 UTC 2014 年 2 月 11 日 (火) 6 時 7 分 17 秒 (日本時間)
106Andreas TeteFebruary 11, 2014 14:18:48 UTC 2014 年 2 月 11 日 (火) 23 時 18 分 48 秒 (日本時間)
540Andreas TeteFebruary 20, 2014 23:14:48 UTC 2014 年 2 月 21 日 (金) 8 時 14 分 48 秒 (日本時間)
6026e7125 / 40516Andreas TeteFebruary 17, 2014 21:44:32 UTC 2014 年 2 月 18 日 (火) 6 時 44 分 32 秒 (日本時間)
6585e756 / 69061Andreas TeteFebruary 24, 2014 15:00:01 UTC 2014 年 2 月 25 日 (火) 0 時 0 分 1 秒 (日本時間)

10231-9

c212

name 名前[XTBA>TSA] IvanleFou
date 日付December 25, 2010 08:27:34 UTC 2010 年 12 月 25 日 (土) 17 時 27 分 34 秒 (日本時間)
composite number 合成数
20108219899963991178385032945756915630579944870602241047661356606913124250453411138118595381885232035113915967840276407154028434896573735056433545137633205791188008513050065381806144502965904984700952873258485557<212>
prime factors 素因数
18693648129792673797202114164543384825945078679<47>
composite cofactor 合成数の残り
1075671252628151721536189684155708564759253143949988399552998906512779142075938929710990797304007549635908376485379724926741783265290587104234929834605726411369028883<166>
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 20108219899963991178385032945756915630579944870602241047661356606913124250453411138118595381885232035113915967840276407154028434896573735056433545137633205791188008513050065381806144502965904984700952873258485557 (212 digits)
[Fri Dec 24 21:12:51 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3535950693
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 639219ms
Using 26 small primes for NTT
Estimated memory usage: 573M
Initializing tables of differences for F took 422ms
Computing roots of F took 26391ms
Building F from its roots took 23610ms
Computing 1/F took 10641ms
Initializing table of differences for G took 391ms
Computing roots of G took 22609ms
Building G from its roots took 20610ms
Computing roots of G took 22016ms
Building G from its roots took 20547ms
Computing G * H took 5890ms
Reducing  G * H mod F took 5797ms
Computing roots of G took 22000ms
Building G from its roots took 20625ms
Computing G * H took 5906ms
Reducing  G * H mod F took 5750ms
Computing roots of G took 22000ms
Building G from its roots took 20531ms
Computing G * H took 5907ms
Reducing  G * H mod F took 5750ms
Computing polyeval(F,G) took 42016ms
Computing product of all F(g_i) took 344ms
Step 2 took 311953ms
********** Factor found in step 2: 18693648129792673797202114164543384825945078679
Found probable prime factor of 47 digits: 18693648129792673797202114164543384825945078679
Composite cofactor 1075671252628151721536189684155708564759253143949988399552998906512779142075938929710990797304007549635908376485379724926741783265290587104234929834605726411369028883 has 166 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6713Dmitry DomanovJune 30, 2009 07:19:33 UTC 2009 年 6 月 30 日 (火) 16 時 19 分 33 秒 (日本時間)
5043e61085yoyo@homeFebruary 26, 2010 13:05:14 UTC 2010 年 2 月 26 日 (金) 22 時 5 分 14 秒 (日本時間)
5511e73700 / 173381070yoyo@homeDecember 24, 2010 13:05:10 UTC 2010 年 12 月 24 日 (金) 22 時 5 分 10 秒 (日本時間)
2630yoyo@homeMarch 25, 2011 17:50:27 UTC 2011 年 3 月 26 日 (土) 2 時 50 分 27 秒 (日本時間)

10235-9

c208

composite cofactor 合成数の残り
1637150466542620463521641864646810936730159962508376375974999081043970766985055221845360455776234416343940654734610211656283611664347262318575325514391313947370826427676824204286688910344967227394380562903729<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6759Dmitry DomanovJune 30, 2009 07:19:47 UTC 2009 年 6 月 30 日 (火) 16 時 19 分 47 秒 (日本時間)
5043e61075yoyo@homeFebruary 26, 2010 14:10:07 UTC 2010 年 2 月 26 日 (金) 23 時 10 分 7 秒 (日本時間)
5511e72630 / 17338yoyo@homeDecember 24, 2010 16:15:09 UTC 2010 年 12 月 25 日 (土) 1 時 15 分 9 秒 (日本時間)

10237-9

c193

name 名前Serge Batalov
date 日付October 23, 2008 23:33:05 UTC 2008 年 10 月 24 日 (金) 8 時 33 分 5 秒 (日本時間)
composite number 合成数
6870159832940159173066092775652604778454705186676194200546381951450025090538832163084906800569313347050737741732551610561343134871689086708029627763402278957880128539977468983821374578072127479<193>
prime factors 素因数
124195659693998352897446580594911<33>
55317229683125179811055047825566314237250570327459404598417890762364651604901335574716743377299431025304065892097911840931358872788401832572008373559390024256489<161>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1344070187
Step 1 took 16461ms
Step 2 took 8449ms
********** Factor found in step 2: 124195659693998352897446580594911
Found probable prime factor of 33 digits: 124195659693998352897446580594911
Probable prime cofactor 55317229683125179811055047825566314237250570327459404598417890762364651604901335574716743377299431025304065892097911840931358872788401832572008373559390024256489 has 161 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)

10241-9

c229

composite cofactor 合成数の残り
4635449272261294629377779703213468681518891331407530241149702094172616188345007537004333603269446014961055482551795100190895076971961332333666078422686195261794517524762612532237148044926410799595122348018765894789486716644728093<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6700Dmitry DomanovJune 30, 2009 07:20:42 UTC 2009 年 6 月 30 日 (火) 16 時 20 分 42 秒 (日本時間)
5043e61090yoyo@homeFebruary 26, 2010 14:40:05 UTC 2010 年 2 月 26 日 (金) 23 時 40 分 5 秒 (日本時間)
5511e75260 / 173372630yoyo@homeJanuary 5, 2011 22:10:16 UTC 2011 年 1 月 6 日 (木) 7 時 10 分 16 秒 (日本時間)
2630yoyo@homeMarch 25, 2011 18:26:00 UTC 2011 年 3 月 26 日 (土) 3 時 26 分 0 秒 (日本時間)

10243-9

c232

composite cofactor 合成数の残り
2504915584716261518622320429705615928866391516777126140829517966298849095597766181911340323777630907153032718173656534716342455075023976067357210592911756418684539249136127860441745194251162339410637980622953565801313394779101714151<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6712Dmitry DomanovJune 30, 2009 07:21:10 UTC 2009 年 6 月 30 日 (火) 16 時 21 分 10 秒 (日本時間)
5043e61085yoyo@homeFebruary 26, 2010 15:35:13 UTC 2010 年 2 月 27 日 (土) 0 時 35 分 13 秒 (日本時間)
5511e75260 / 173382630yoyo@homeJanuary 10, 2011 00:55:24 UTC 2011 年 1 月 10 日 (月) 9 時 55 分 24 秒 (日本時間)
2630yoyo@homeMarch 25, 2011 18:55:36 UTC 2011 年 3 月 26 日 (土) 3 時 55 分 36 秒 (日本時間)

10245-9

c223

name 名前Dmitry Domanov
date 日付May 11, 2009 10:43:02 UTC 2009 年 5 月 11 日 (月) 19 時 43 分 2 秒 (日本時間)
composite number 合成数
2440548287231019985162221443428821790183866285693531341906864187034380567295222842170167086501911316909243011029537971246193980851646990702118681680729943453048494182626379925294396150276508253918039462146967545217138765987<223>
prime factors 素因数
5715411392874728022457273897097329<34>
composite cofactor 合成数の残り
427011831602112740817913621551742021102073286561629462464731021857158629869115131922752233372580108125425120862025257386114216115947550294412616236983597923505019820154999571664743031506003<189>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1951669128
Step 1 took 441703ms
Step 2 took 107218ms
********** Factor found in step 2: 5715411392874728022457273897097329
Found probable prime factor of 34 digits: 5715411392874728022457273897097329
Composite cofactor 427011831602112740817913621551742021102073286561629462464731021857158629869115131922752233372580108125425120862025257386114216115947550294412616236983597923505019820154999571664743031506003 has 189 digits
software ソフトウェア
GMP-ECM 6.2.3

c189

name 名前mia7077
date 日付January 11, 2011 12:12:32 UTC 2011 年 1 月 11 日 (火) 21 時 12 分 32 秒 (日本時間)
composite number 合成数
427011831602112740817913621551742021102073286561629462464731021857158629869115131922752233372580108125425120862025257386114216115947550294412616236983597923505019820154999571664743031506003<189>
prime factors 素因数
29115151105315566725219378106426072481470252799<47>
composite cofactor 合成数の残り
14666309992949100354751067452740459698631568586537981928590377727072933726554922007034652454528707698510506083768049331589810208591678421415597<143>
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 427011831602112740817913621551742021102073286561629462464731021857158629869115131922752233372580108125425120862025257386114216115947550294412616236983597923505019820154999571664743031506003 (189 digits)
[Mon Jan 10 08:54:44 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2057033392
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 1123628ms
Using 23 small primes for NTT
Estimated memory usage: 522M
Initializing tables of differences for F took 702ms
Computing roots of F took 45568ms
Building F from its roots took 23712ms
Computing 1/F took 10311ms
Initializing table of differences for G took 609ms
Computing roots of G took 38298ms
Building G from its roots took 22402ms
Computing roots of G took 38298ms
Building G from its roots took 22370ms
Computing G * H took 5850ms
Reducing  G * H mod F took 5818ms
Computing roots of G took 38049ms
Building G from its roots took 22183ms
Computing G * H took 5710ms
Reducing  G * H mod F took 5663ms
Computing roots of G took 36286ms
Building G from its roots took 22230ms
Computing G * H took 5413ms
Reducing  G * H mod F took 5694ms
Computing polyeval(F,G) took 40888ms
Computing product of all F(g_i) took 218ms
Step 2 took 397272ms
********** Factor found in step 2: 29115151105315566725219378106426072481470252799
Found probable prime factor of 47 digits: 29115151105315566725219378106426072481470252799
Composite cofactor 14666309992949100354751067452740459698631568586537981928590377727072933726554922007034652454528707698510506083768049331589810208591678421415597 has 143 digits
software ソフトウェア
GMP-ECM

c143

name 名前Andreas Tete
date 日付March 1, 2011 22:31:31 UTC 2011 年 3 月 2 日 (水) 7 時 31 分 31 秒 (日本時間)
composite number 合成数
14666309992949100354751067452740459698631568586537981928590377727072933726554922007034652454528707698510506083768049331589810208591678421415597<143>
prime factors 素因数
6858031324105906934531379371908179531888297486893109903873924200917601<70>
2138559784846297975822122362999433744698609346939040015198735671284328397<73>
factorization results 素因数分解の結果
Number: c143
N = 14666309992949100354751067452740459698631568586537981928590377727072933726554922007034652454528707698510506083768049331589810208591678421415597 (143 digits)
Divisors found:
r1=6858031324105906934531379371908179531888297486893109903873924200917601 (pp70)
r2=2138559784846297975822122362999433744698609346939040015198735671284328397 (pp73)
Version: Msieve v. 1.48
Total time: 422.16 hours.
Factorization parameters were as follows:
n: 14666309992949100354751067452740459698631568586537981928590377727072933726554922007034652454528707698510506083768049331589810208591678421415597
# norm 8.472133e-014 alpha -7.793035 e 1.468e-011 rroots 3
Y0: -3427708690350665253071870200
Y1: 6735015903598187
c0: 307063674198654785265461319769605471
c1: 3401953667000316550513538395863
c2: -1025164364553989554645487
c3: -1202299680638206019
c4: -156909176264
c5: 30996
skew: 2964823.76
type: gnfs
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23948228
Relations: 3816522 relations
Pruned matrix : 2380394 x 2380619
Polynomial selection time: 0.00 hours.
Total sieving time: 402.71 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 15.61 hours.
time per square root: 3.45 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,14300000,14300000,28,28,56,56,2.5,2.5,100000
total time: 422.16 hours.
x86 Family 6 Model 23 Stepping 6, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.09GHz
software ソフトウェア
factmsieve.py via Msieve1.48 (Polysearch) & GGNFS
execution environment 実行環境
Core 2 Duo@2.1GHz on WinVista 32bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e61309600Dmitry DomanovMay 11, 2009 10:41:35 UTC 2009 年 5 月 11 日 (月) 19 時 41 分 35 秒 (日本時間)
709Dmitry DomanovJune 30, 2009 07:21:18 UTC 2009 年 6 月 30 日 (火) 16 時 21 分 18 秒 (日本時間)
5043e61010 / 2980yoyo@homeFebruary 27, 2010 23:30:13 UTC 2010 年 2 月 28 日 (日) 8 時 30 分 13 秒 (日本時間)
5511e71775 / 17327yoyo@homeJanuary 10, 2011 03:25:22 UTC 2011 年 1 月 10 日 (月) 12 時 25 分 22 秒 (日本時間)

10247-9

c205

composite cofactor 合成数の残り
8203520121102992924527655815864204700509131223975388014600092794790532104667823841760331340262472670579150360549037086554402448433462480941173142178521283053388972682872569934752050230712834059531200108853<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 23, 2008 12:00:00 UTC 2008 年 10 月 23 日 (木) 21 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6714Dmitry DomanovJune 30, 2009 07:21:36 UTC 2009 年 6 月 30 日 (火) 16 時 21 分 36 秒 (日本時間)
5043e61085yoyo@homeFebruary 28, 2010 00:25:05 UTC 2010 年 2 月 28 日 (日) 9 時 25 分 5 秒 (日本時間)
5511e75260 / 173382630yoyo@homeJanuary 15, 2011 23:30:15 UTC 2011 年 1 月 16 日 (日) 8 時 30 分 15 秒 (日本時間)
2630yoyo@homeMarch 25, 2011 19:15:25 UTC 2011 年 3 月 26 日 (土) 4 時 15 分 25 秒 (日本時間)

10251-9

c228

name 名前KTakahashi
date 日付February 27, 2014 11:59:25 UTC 2014 年 2 月 27 日 (木) 20 時 59 分 25 秒 (日本時間)
composite number 合成数
485001456378439082319452037831353725245389371220573986567099833992879741810392729552190238711857051071965276006345401533634319884232897831026634345315795900202700162335395735047887032081475507879823055724475895863090661844674173<228>
prime factors 素因数
99643778248525445438201163373808995374199<41>
composite cofactor 合成数の残り
4867353134370095606923890685838077704666538118399532376570871303012630933617399831305017793072806391226054449539773375496380403865759122299841802095857937973349203109866533594795925069227<187>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 485001456378439082319452037831353725245389371220573986567099833992879741810392729552190238711857051071965276006345401533634319884232897831026634345315795900202700162335395735047887032081475507879823055724475895863090661844674173 (228 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3936022373
Step 1 took 6256ms
Step 2 took 3307ms
********** Factor found in step 2: 99643778248525445438201163373808995374199
Found probable prime factor of 41 digits: 99643778248525445438201163373808995374199
Composite cofactor 4867353134370095606923890685838077704666538118399532376570871303012630933617399831305017793072806391226054449539773375496380403865759122299841802095857937973349203109866533594795925069227 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 11:57:59 UTC 2014 年 2 月 27 日 (木) 20 時 57 分 59 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:47 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 47 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 7, 2014 02:46:19 UTC 2014 年 9 月 7 日 (日) 11 時 46 分 19 秒 (日本時間)

10253-9

c221

composite cofactor 合成数の残り
39022786381779592067122033546478424701214535014291015413700730057667901802297526747853745843156327104125727499566835178665362208987935600119838458248362469163543660992493390073490536815704021977541722800359728024036364037<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:00:43 UTC 2014 年 2 月 27 日 (木) 21 時 0 分 43 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:48 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 48 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 11, 2014 13:33:15 UTC 2014 年 9 月 11 日 (木) 22 時 33 分 15 秒 (日本時間)

10255-9

c246

name 名前Serge Batalov
date 日付February 28, 2014 04:11:23 UTC 2014 年 2 月 28 日 (金) 13 時 11 分 23 秒 (日本時間)
composite number 合成数
224781453528809636147319893561962661719542167949716318713791783405238061846382161240987960532492059192233339349211823130689014459156686040637840221174934010779438211576050690514138075823270463517018255209228308885715448804171872027254740450858399<246>
prime factors 素因数
638522478824545119654788017828403984837<39>
352033735668334509984394000469434921834551920783994534064253639097098779730471401313289081972426827517582738445211333422021523489123047548447461031338967443258017486098938926688272321083982301999885723409427<207>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1513717194
Step 1 took 24334ms
Step 2 took 16673ms
********** Factor found in step 2: 638522478824545119654788017828403984837
Found probable prime factor of 39 digits: 638522478824545119654788017828403984837
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:00:56 UTC 2014 年 2 月 27 日 (木) 21 時 0 分 56 秒 (日本時間)

10257-9

c199

composite cofactor 合成数の残り
4521616965133334504602532634573684651776557781935222015069181376695713100466353337615448940552338051417913431584242573039318916355416670199255633847691841746625974781842318903033153228652753901424507<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:01:16 UTC 2014 年 2 月 27 日 (木) 21 時 1 分 16 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:48 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 48 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 8, 2014 05:03:03 UTC 2014 年 9 月 8 日 (月) 14 時 3 分 3 秒 (日本時間)

10259-9

c211

name 名前KTakahashi
date 日付February 27, 2014 12:03:02 UTC 2014 年 2 月 27 日 (木) 21 時 3 分 2 秒 (日本時間)
composite number 合成数
3488141793727435953600993465517922865491121813120290459549644400962835551678074012336236084801379974712799865611269314216438398356599408053073506035060929251511115181695573454957008578773534939023289156659074041<211>
prime factors 素因数
9194342177276929109261913431533<31>
379379158016121637899212829739213496538541695795601326052616695721051472581046303972139049162560621227920959703449226400092927191441136557785441740512787068715624032647037050662077<180>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 3488141793727435953600993465517922865491121813120290459549644400962835551678074012336236084801379974712799865611269314216438398356599408053073506035060929251511115181695573454957008578773534939023289156659074041 (211 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2655984952
Step 1 took 5678ms
Step 2 took 3042ms
********** Factor found in step 2: 9194342177276929109261913431533
Found probable prime factor of 31 digits: 9194342177276929109261913431533
Probable prime cofactor 379379158016121637899212829739213496538541695795601326052616695721051472581046303972139049162560621227920959703449226400092927191441136557785441740512787068715624032647037050662077 has 180 digits

ECM

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

10261-9

c247

composite cofactor 合成数の残り
1009913899963561151466239007999651650271252576079015462072648024972443823341159580651928597542985766173886571186033081659996925486818122539349875824841825500638779164461207697334282553213192122030326441373477695377957920457337283198708399948537067<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:03:55 UTC 2014 年 2 月 27 日 (木) 21 時 3 分 55 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:49 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 49 秒 (日本時間)
4511e6252KTakahashiSeptember 8, 2014 18:11:27 UTC 2014 年 9 月 9 日 (火) 3 時 11 分 27 秒 (日本時間)
5043e60--
5511e75200 / 177435000Serge BatalovJanuary 8, 2015 06:22:12 UTC 2015 年 1 月 8 日 (木) 15 時 22 分 12 秒 (日本時間)
100Alfred ReichFebruary 27, 2015 05:35:14 UTC 2015 年 2 月 27 日 (金) 14 時 35 分 14 秒 (日本時間)
100Alfred ReichFebruary 28, 2015 19:22:17 UTC 2015 年 3 月 1 日 (日) 4 時 22 分 17 秒 (日本時間)

10263-9

c224

composite cofactor 合成数の残り
20266703023793205979230622001938364694074943540390719075218948604956863713443920677258723235665415241417169465680193206339846541648027891854208786111319102108472664716289367650481378455227349534214294360111394187102790210923<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:04:19 UTC 2014 年 2 月 27 日 (木) 21 時 4 分 19 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:49 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 49 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 14, 2014 00:26:30 UTC 2014 年 9 月 14 日 (日) 9 時 26 分 30 秒 (日本時間)

10265-9

c220

composite cofactor 合成数の残り
1238252342414890196050751542512061364849723700241685004038086444990328247628801862992282622069130733867499236530106967094527049088588108410598399431763430185029568135386407491626325896637317425393837072387174524886239643<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:04:35 UTC 2014 年 2 月 27 日 (木) 21 時 4 分 35 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:49 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 49 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 11, 2014 13:21:40 UTC 2014 年 9 月 11 日 (木) 22 時 21 分 40 秒 (日本時間)

10267-9

c225

composite cofactor 合成数の残り
345408311381007804889562960158375377295267205406077495657453733847890668313439641192550504533958923227515587176482061889166193214151706276366964906247074848141629064119487809032906970577549532289522072216673154479093666320043<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:04:56 UTC 2014 年 2 月 27 日 (木) 21 時 4 分 56 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:50 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 50 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 14, 2014 00:26:45 UTC 2014 年 9 月 14 日 (日) 9 時 26 分 45 秒 (日本時間)

10269-9

c268

name 名前Serge Batalov
date 日付March 2, 2014 03:24:10 UTC 2014 年 3 月 2 日 (日) 12 時 24 分 10 秒 (日本時間)
composite number 合成数
2325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837<268>
prime factors 素因数
444981482288257094058550900250349450053159<42>
composite cofactor 合成数の残り
5226243086318669693307627259926061541990064833781393443889085264517673765073178236926769931438556960875451985355175823547422706429003753820929122621487168229947707584122855018674343173442851403311533208277690356275146107057043<226>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=57492616
Step 1 took 93886ms
Step 2 took 45393ms
********** Factor found in step 2: 444981482288257094058550900250349450053159
Found probable prime factor of 42 digits: 444981482288257094058550900250349450053159
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:05:14 UTC 2014 年 2 月 27 日 (木) 21 時 5 分 14 秒 (日本時間)
403e60--
4511e61300 / 44391000Serge BatalovMarch 2, 2014 03:23:07 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:37:30 UTC 2014 年 5 月 27 日 (火) 9 時 37 分 30 秒 (日本時間)

10271-9

c245

name 名前Serge Batalov
date 日付May 18, 2014 23:30:53 UTC 2014 年 5 月 19 日 (月) 8 時 30 分 53 秒 (日本時間)
composite number 合成数
12669014707441983766482643854202367080682534165200124422492249126851846687729762751326703205005280059106025490129438690475646451021134076794344480840800351395769753443225505002424889433759687389600362755218707257654359727416345141114412544685089<245>
prime factors 素因数
29315219464656653795470640227541237<35>
composite cofactor 合成数の残り
432165098498278154124748067178179445198532548204461485900629017009125580868413908312316066539914831040562683007193596570378717079740578463748785355767189999293918024099652669462333758701342363070292025322822397<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1631110243
Step 1 took 83713ms
Step 2 took 40431ms
********** Factor found in step 2: 29315219464656653795470640227541237
Found probable prime factor of 35 digits: 29315219464656653795470640227541237
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:05:35 UTC 2014 年 2 月 27 日 (木) 21 時 5 分 35 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:50 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 50 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 9, 2014 08:31:30 UTC 2014 年 9 月 9 日 (火) 17 時 31 分 30 秒 (日本時間)

10273-9

c223

composite cofactor 合成数の残り
2084253607025825443054873319495228534048544747254936513588675289891938606870817916487493828943783018149356842461620946115701142354897040224996845919309049580249437480003583823880604326868529979946884606302342224978223952561<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:05:54 UTC 2014 年 2 月 27 日 (木) 21 時 5 分 54 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:50 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 50 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 12, 2014 19:48:52 UTC 2014 年 9 月 13 日 (土) 4 時 48 分 52 秒 (日本時間)

10275-9

c270

name 名前KTakahashi
date 日付February 27, 2014 12:07:57 UTC 2014 年 2 月 27 日 (木) 21 時 7 分 57 秒 (日本時間)
composite number 合成数
505481951766912162401241463673539536270857449034782213101081225894829425115376255490797701068083364083485399153823212742189040140321789810494816282584630315774575268790027852055542356860148308404648412028448524245441816499941869575546805101323857231677542953328851393361<270>
prime factors 素因数
292067625089757896352950706762202747<36>
composite cofactor 合成数の残り
1730701756524941829897120590957385766519275870659496078970766969082715048337747583827516710642955449130480358389470300127271310224274014600726921292378529568285299085865299319312343598518833169396293442655701642386793974027375410284963<235>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 505481951766912162401241463673539536270857449034782213101081225894829425115376255490797701068083364083485399153823212742189040140321789810494816282584630315774575268790027852055542356860148308404648412028448524245441816499941869575546805101323857231677542953328851393361 (270 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2290442564
Step 1 took 7597ms
Step 2 took 3713ms
********** Factor found in step 2: 292067625089757896352950706762202747
Found probable prime factor of 36 digits: 292067625089757896352950706762202747
Composite cofactor 1730701756524941829897120590957385766519275870659496078970766969082715048337747583827516710642955449130480358389470300127271310224274014600726921292378529568285299085865299319312343598518833169396293442655701642386793974027375410284963 has 235 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:06:19 UTC 2014 年 2 月 27 日 (木) 21 時 6 分 19 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:51 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 51 秒 (日本時間)
4511e6252 / 4151KTakahashiSeptember 7, 2014 07:57:59 UTC 2014 年 9 月 7 日 (日) 16 時 57 分 59 秒 (日本時間)

10277-9

c238

composite cofactor 合成数の残り
9642691979353375254362327805611715232053580442933619525193219196022945001907427446813154189946837624488457695229072279523365896237869423628822064126588473384134672849562522543268282241310351607969548643654082692190329437435914886205663723<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:09:07 UTC 2014 年 2 月 27 日 (木) 21 時 9 分 7 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:51 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 51 秒 (日本時間)
4511e6252 / 4151KTakahashiSeptember 8, 2014 05:39:45 UTC 2014 年 9 月 8 日 (月) 14 時 39 分 45 秒 (日本時間)

10283-9

c265

name 名前KTakahashi
date 日付February 27, 2014 12:11:13 UTC 2014 年 2 月 27 日 (木) 21 時 11 分 13 秒 (日本時間)
composite number 合成数
3115504742617011917485588599071290362608147284148281797267637532899273757493599829725661457870453290614648661132490431615463652777285946290135413340197592599888588366425976101160263260276826867985185600508474193268564831075983425739097150957226757612402506861828111<265>
prime factors 素因数
11745434629167134613003981169<29>
composite cofactor 合成数の残り
265252401548458616856894376978459429394927571287771610408012014891721358612900189235282977156267474812461485618331833415613575896183147927873355996676902177965363515204231081900761247184351403287651971768536065486152588426416662410101119<237>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 3115504742617011917485588599071290362608147284148281797267637532899273757493599829725661457870453290614648661132490431615463652777285946290135413340197592599888588366425976101160263260276826867985185600508474193268564831075983425739097150957226757612402506861828111 (265 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=259972751
Step 1 took 7894ms
Step 2 took 3915ms
********** Factor found in step 2: 11745434629167134613003981169
Found probable prime factor of 29 digits: 11745434629167134613003981169
Composite cofactor 265252401548458616856894376978459429394927571287771610408012014891721358612900189235282977156267474812461485618331833415613575896183147927873355996676902177965363515204231081900761247184351403287651971768536065486152588426416662410101119 has 237 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:09:39 UTC 2014 年 2 月 27 日 (木) 21 時 9 分 39 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:52 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 52 秒 (日本時間)
4511e6252 / 4151KTakahashiSeptember 7, 2014 21:13:12 UTC 2014 年 9 月 8 日 (月) 6 時 13 分 12 秒 (日本時間)

10285-9

c229

composite cofactor 合成数の残り
5989778427887741306435109247442544276553085823183331248572748768806109290257123945620914979601253860099858134872283306758302857101080118531118314113184295529827665014909562356163442761063850365958036026913232813371124620913352467<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:12:52 UTC 2014 年 2 月 27 日 (木) 21 時 12 分 52 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:52 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 52 秒 (日本時間)
4511e6252 / 4151KTakahashiSeptember 6, 2014 11:13:52 UTC 2014 年 9 月 6 日 (土) 20 時 13 分 52 秒 (日本時間)

10287-9

c223

composite cofactor 合成数の残り
9187452031422291615802634808210620619500418022863745675962658811117922899353093460420526304741318856705814949055654137003389738722778020715698884482208100442196536442265255958100195596428600004325189599947451518387888237707<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:13:11 UTC 2014 年 2 月 27 日 (木) 21 時 13 分 11 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:53 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 53 秒 (日本時間)
4511e61012 / 4151KTakahashiSeptember 12, 2014 19:49:15 UTC 2014 年 9 月 13 日 (土) 4 時 49 分 15 秒 (日本時間)

10289-9

c266

composite cofactor 合成数の残り
20024568928289807365618546493097810703562486808134616838062175158248097205539118647503898100521350709119227704795533273903177753343956094471019540529999691475772542352036485961204319223417184291815064909990236387046112156654271385091323511588329296569603808185669853<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:13:27 UTC 2014 年 2 月 27 日 (木) 21 時 13 分 27 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:53 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 53 秒 (日本時間)
4511e6252 / 4151KTakahashiSeptember 9, 2014 06:39:23 UTC 2014 年 9 月 9 日 (火) 15 時 39 分 23 秒 (日本時間)

10291-9

c289

composite cofactor 合成数の残り
6622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841059602649006622516556291390728476821192052980132450331125827814569536423841<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:13:41 UTC 2014 年 2 月 27 日 (木) 21 時 13 分 41 秒 (日本時間)
403e60--
4511e630001000Serge BatalovMarch 2, 2014 03:23:13 UTC 2014 年 3 月 2 日 (日) 12 時 23 分 13 秒 (日本時間)
2000Serge BatalovMay 18, 2014 20:06:50 UTC 2014 年 5 月 19 日 (月) 5 時 6 分 50 秒 (日本時間)
5043e670001000Serge BatalovMay 18, 2014 20:16:03 UTC 2014 年 5 月 19 日 (月) 5 時 16 分 3 秒 (日本時間)
6000Serge BatalovDecember 20, 2014 19:38:38 UTC 2014 年 12 月 21 日 (日) 4 時 38 分 38 秒 (日本時間)

10293-9

c293

name 名前KTakahashi
date 日付February 27, 2014 12:16:37 UTC 2014 年 2 月 27 日 (木) 21 時 16 分 37 秒 (日本時間)
composite number 合成数
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<293>
prime factors 素因数
37648704198001622956897620521209<32>
composite cofactor 合成数の残り
2656133912978284045034981474840265582959513953411596873852017396457469834740214292982838667883732604828263497636260480547989699354615813935278827953281405464587658191229886663140484210780917010539844359930510683347934634732440582755927055219903970345305470706799<262>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 (293 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1186706299
Step 1 took 9516ms
Step 2 took 4524ms
********** Factor found in step 2: 37648704198001622956897620521209
Found probable prime factor of 32 digits: 37648704198001622956897620521209
Composite cofactor 2656133912978284045034981474840265582959513953411596873852017396457469834740214292982838667883732604828263497636260480547989699354615813935278827953281405464587658191229886663140484210780917010539844359930510683347934634732440582755927055219903970345305470706799 has 262 digits

c262

name 名前KTakahashi
date 日付September 8, 2014 21:45:53 UTC 2014 年 9 月 9 日 (火) 6 時 45 分 53 秒 (日本時間)
composite number 合成数
2656133912978284045034981474840265582959513953411596873852017396457469834740214292982838667883732604828263497636260480547989699354615813935278827953281405464587658191229886663140484210780917010539844359930510683347934634732440582755927055219903970345305470706799<262>
prime factors 素因数
474745370112282148391881863808314157<36>
composite cofactor 合成数の残り
5594860066460640020187735301826154248913310097864189552495212038221852119845985576850168748124250916796212318073371440166536951869830127923128674286548848599084361180982196769098680960975285064241309902092208837115578571956107<226>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 2656133912978284045034981474840265582959513953411596873852017396457469834740214292982838667883732604828263497636260480547989699354615813935278827953281405464587658191229886663140484210780917010539844359930510683347934634732440582755927055219903970345305470706799 (262 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=88808135
Step 1 took 89716ms
Step 2 took 33337ms
********** Factor found in step 2: 474745370112282148391881863808314157
Found probable prime factor of 36 digits: 474745370112282148391881863808314157
Composite cofactor 5594860066460640020187735301826154248913310097864189552495212038221852119845985576850168748124250916796212318073371440166536951869830127923128674286548848599084361180982196769098680960975285064241309902092208837115578571956107 has 226 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:15:05 UTC 2014 年 2 月 27 日 (木) 21 時 15 分 5 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:53 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 53 秒 (日本時間)
4511e61012 / 4151252KTakahashiSeptember 8, 2014 21:43:35 UTC 2014 年 9 月 9 日 (火) 6 時 43 分 35 秒 (日本時間)
760KTakahashiSeptember 10, 2014 06:42:34 UTC 2014 年 9 月 10 日 (水) 15 時 42 分 34 秒 (日本時間)

10295-9

c283

composite cofactor 合成数の残り
2332981368425258885911747274535025817400903254475913069575341966058604197467206689862067214249443851964870588841571162333684791432778504886781598060551102980111931240013786243117692239939970908357853859668943752587161976295045253551327137302787971116423852811817718947829325580404591<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:14:07 UTC 2014 年 2 月 27 日 (木) 21 時 14 分 7 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:54 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 54 秒 (日本時間)
4511e6252 / 4151KTakahashiSeptember 9, 2014 20:51:50 UTC 2014 年 9 月 10 日 (水) 5 時 51 分 50 秒 (日本時間)

10297-9

c291

composite cofactor 合成数の残り
337306011096693153059011349335355370434520976554871086702149010327298141747454267207750482600575376593728739180488061559696249190887205881807299099696525781816305170192807489002980773220061477393582483294076535408529861869815395793186890804262333678622253359314891014741284602958780868137973<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:14:28 UTC 2014 年 2 月 27 日 (木) 21 時 14 分 28 秒 (日本時間)
403e60--
4511e61900Serge BatalovFebruary 27, 2014 19:36:50 UTC 2014 年 2 月 28 日 (金) 4 時 36 分 50 秒 (日本時間)
5043e66080Serge BatalovDecember 20, 2014 19:28:22 UTC 2014 年 12 月 21 日 (日) 4 時 28 分 22 秒 (日本時間)
5511e7432 / 15480CypMarch 19, 2014 19:36:28 UTC 2014 年 3 月 20 日 (木) 4 時 36 分 28 秒 (日本時間)

10299-9

c248

composite cofactor 合成数の残り
23721502103639380152181252765409693188846298907251183982065453797302744565385293635865600559672378827915566090098331694445497161392861278523068263576272173886190757406775681167291972814110936494150216086357675003370019968328858047478929907449606867<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaFebruary 26, 2014 14:00:00 UTC 2014 年 2 月 26 日 (水) 23 時 0 分 0 秒 (日本時間)
786KTakahashiFebruary 27, 2014 12:14:46 UTC 2014 年 2 月 27 日 (木) 21 時 14 分 46 秒 (日本時間)
403e61300Serge BatalovMay 26, 2014 18:00:54 UTC 2014 年 5 月 27 日 (火) 3 時 0 分 54 秒 (日本時間)
4511e6252 / 4151126CypMarch 11, 2014 17:53:23 UTC 2014 年 3 月 12 日 (水) 2 時 53 分 23 秒 (日本時間)
126KTakahashiJune 19, 2014 01:27:14 UTC 2014 年 6 月 19 日 (木) 10 時 27 分 14 秒 (日本時間)