Table of contents 目次

10159+7

c117

name 名前JMB
date 日付November 16, 2006 14:10:03 UTC 2006 年 11 月 16 日 (木) 23 時 10 分 3 秒 (日本時間)
composite number 合成数
226673582103118334143885828835544134495812108823761215777923161449519382625786039701855765820567862409213621214041253<117>
prime factors 素因数
354663760028666201445811359498151123731853622090995334671<57>
639122480641374580716319914410982978520319328839614482642443<60>
factorization results 素因数分解の結果
Number: N
N=226673582103118334143885828835544134495812108823761215777923161449519382625786039701855765820567862409213621214041253
  ( 117 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=354663760028666201445811359498151123731853622090995334671 (pp57)
 r2=639122480641374580716319914410982978520319328839614482642443 (pp60)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 79.32 hours.
Scaled time: 144.21 units (timescale=1.818).
Factorization parameters were as follows:
name: 10^159+7
n: 226673582103118334143885828835544134495812108823761215777923161449519382625786039701855765820567862409213621214041253
skew: 1
c5: 10000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 7
m: 10000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
qintsize: 10000Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 47/47
Sieved algebraic special-q in [2000000, 3010001)
Primes: RFBsize:283146, AFBsize:283882, largePrimes:5284168 encountered
Relations: rels:5264200, finalFF:647445
Max relations in full relation-set: 28
Initial matrix: 567093 x 647445 with sparse part having weight 36687284.
Pruned matrix : 507077 x 509976 with weight 26304945.
Total sieving time: 75.21 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.76 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,47,47,2.4,2.4,100000
total time: 79.32 hours.
 --------- CPU info (if available) ----------

10160+7

c153

name 名前JMB
date 日付November 14, 2006 15:22:46 UTC 2006 年 11 月 15 日 (水) 0 時 22 分 46 秒 (日本時間)
composite number 合成数
138335625162691341167897685422270671661929201791407611881807314548748014866486962233917823022226979738077817358213143076843544579810311147393164053781073<153>
prime factors 素因数
122227155285903457182666321837042118481<39>
1131791252435748089591200016536616025548232549159948520144370768984943188816711312258317968241365841533122026175233<115>
factorization results 素因数分解の結果
Number: N
N=138335625162691341167897685422270671661929201791407611881807314548748014866486962233917823022226979738077817358213143076843544579810311147393164053781073
  ( 153 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=122227155285903457182666321837042118481 (pp39)
 r2=1131791252435748089591200016536616025548232549159948520144370768984943188816711312258317968241365841533122026175233 (pp115)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 56.43 hours.
Scaled time: 102.87 units (timescale=1.823).
Factorization parameters were as follows:
name: 10^160+7
n: 138335625162691341167897685422270671661929201791407611881807314548748014866486962233917823022226979738077817358213143076843544579810311147393164053781073
skew: 1
c5: 1
c4: 0
c3: 0
c2: 0
c1: 0
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
qintsize: 10000Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 47/47
Sieved algebraic special-q in [2000000, 2670001)
Primes: RFBsize:283146, AFBsize:283082, largePrimes:5150741 encountered
Relations: rels:5142908, finalFF:651842
Max relations in full relation-set: 28
Initial matrix: 566294 x 651842 with sparse part having weight 31982635.
Pruned matrix : 495098 x 497993 with weight 21734435.
Total sieving time: 53.34 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,47,47,2.4,2.4,100000
total time: 56.43 hours.
 --------- CPU info (if available) ----------

10162+7

c133

name 名前JMB
date 日付November 17, 2006 14:18:29 UTC 2006 年 11 月 17 日 (金) 23 時 18 分 29 秒 (日本時間)
composite number 合成数
3250477295152857483616387321204676144778298388584513349964512256612201623520987517912245791751948647147902352423129220799543585457201<133>
prime factors 素因数
10547001703389742749894012224851142970616143003250831<53>
308189700406341423181147659113543127355444178794088410677400174480962049420222271<81>
factorization results 素因数分解の結果
Number: N
N=3250477295152857483616387321204676144778298388584513349964512256612201623520987517912245791751948647147902352423129220799543585457201
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=10547001703389742749894012224851142970616143003250831 (pp53)
 r2=308189700406341423181147659113543127355444178794088410677400174480962049420222271 (pp81)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 79.92 hours.
Scaled time: 146.58 units (timescale=1.834).
Factorization parameters were as follows:
name: 10^162+7
n: 3250477295152857483616387321204676144778298388584513349964512256612201623520987517912245791751948647147902352423129220799543585457201
skew: 1
c5: 100
c4: 0
c3: 0
c2: 0
c1: 0
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
qintsize: 10000Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 47/47
Sieved algebraic special-q in [2000000, 3100001)
Primes: RFBsize:283146, AFBsize:283097, largePrimes:5323478 encountered
Relations: rels:5295599, finalFF:640531
Max relations in full relation-set: 28
Initial matrix: 566309 x 640530 with sparse part having weight 39852777.
Pruned matrix : 512205 x 515100 with weight 29578204.
Total sieving time: 75.32 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.22 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,47,47,2.4,2.4,100000
total time: 79.92 hours.
 --------- CPU info (if available) ----------

10163+7

c142

name 名前JMB
date 日付November 15, 2006 03:17:23 UTC 2006 年 11 月 15 日 (水) 12 時 17 分 23 秒 (日本時間)
composite number 合成数
7345285263697030769594121563976457536156335454258920057166935412542486915257529605837575859114776800381773286917704690008501974225530101132657<142>
prime factors 素因数
41544031117073918433594752857<29>
176807234786569338582523829881595287129675124275481575083841952162459544421538630230247564397123546438974833341401<114>
factorization results 素因数分解の結果
Method=ECM  B1=1000000  Sigma=719715719

PRP Factor=41544031117073918433594752857
PRP Factor=176807234786569338582523829881595287129675124275481575083841952162459544421538630230247564397123546438974833341401

10164+7

c129

name 名前JMB
date 日付November 18, 2006 13:51:33 UTC 2006 年 11 月 18 日 (土) 22 時 51 分 33 秒 (日本時間)
composite number 合成数
123597404720906723070603691171193332824198996716018877260358883611797898401587603600800822151252138669606949349037994378388558407<129>
prime factors 素因数
89521774571891440725766027916492942543621141376778475868817<59>
1380640691183467041940805484295021196494682231216695693196237567677271<70>
factorization results 素因数分解の結果
Number: N
N=123597404720906723070603691171193332824198996716018877260358883611797898401587603600800822151252138669606949349037994378388558407
  ( 129 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=89521774571891440725766027916492942543621141376778475868817 (pp59)
 r2=1380640691183467041940805484295021196494682231216695693196237567677271 (pp70)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 108.96 hours.
Scaled time: 196.45 units (timescale=1.803).
Factorization parameters were as follows:
name: 10^164+7
n: 123597404720906723070603691171193332824198996716018877260358883611797898401587603600800822151252138669606949349037994378388558407
skew: 1
c5: 10000
c4: 0
c3: 0
c2: 0
c1: 0
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
qintsize: 10000Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 47/47
Sieved algebraic special-q in [2000000, 3440001)
Primes: RFBsize:283146, AFBsize:283882, largePrimes:5478274 encountered
Relations: rels:5452413, finalFF:639994
Max relations in full relation-set: 28
Initial matrix: 567092 x 639993 with sparse part having weight 49903993.
Pruned matrix : 517836 x 520735 with weight 38625421.
Total sieving time: 102.91 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.64 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,47,47,2.4,2.4,100000
total time: 108.96 hours.
 --------- CPU info (if available) ----------

10167+7

c135

name 名前JMB
date 日付November 15, 2006 13:09:22 UTC 2006 年 11 月 15 日 (水) 22 時 9 分 22 秒 (日本時間)
composite number 合成数
370453724537001164319246523323003528797233852569304168816144985515591327357159637534847644234618382089745448146149650499776658600805071<135>
prime factors 素因数
141440849542595046487975537469003983<36>
composite cofactor 合成数の残り
2619142388744198489221178578867314405367094314526442514421260482505307467083353062573172058928231937<100>
factorization results 素因数分解の結果
P36: 141440849542595046487975537469003983

B1: 1000000
Sigma: 3323369264

c100

name 名前JMB
date 日付November 16, 2006 16:31:37 UTC 2006 年 11 月 17 日 (金) 1 時 31 分 37 秒 (日本時間)
composite number 合成数
2619142388744198489221178578867314405367094314526442514421260482505307467083353062573172058928231937<100>
prime factors 素因数
2767384195308432800998826640296194868680403<43>
946432516737087044441832532380571281421477140914013266779<57>
factorization results 素因数分解の結果
Number: Job
N=2619142388744198489221178578867314405367094314526442514421260482505307467083353062573172058928231937
  ( 100 digits)
Divisors found:
 r1=2767384195308432800998826640296194868680403 (pp43)
 r2=946432516737087044441832532380571281421477140914013266779 (pp57)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 8.60 hours.
Scaled time: 15.90 units (timescale=1.850).
Factorization parameters were as follows:
name: Job
n: 2619142388744198489221178578867314405367094314526442514421260482505307467083353062573172058928231937
skew: 8767.84
# norm 1.44e+14
c5: 39960
c4: 10073859
c3: -20284580639278
c2: -124696502742194
c1: 640938381477089277548
c0: -70909371893625224570160
# alpha -6.23
Y1: 8282152207
Y0: -9189813678694628131
# Murphy_E 3.31e-09
# M 1501514031735999265463075416290939630348073546891187053019114908450105058567508383777968256834056499
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1000001)
Primes: RFBsize:135072, AFBsize:135190, largePrimes:3875502 encountered
Relations: rels:3862298, finalFF:368646
Max relations in full relation-set: 28
Initial matrix: 270344 x 368646 with sparse part having weight 27249881.
Pruned matrix : 197174 x 198589 with weight 13002163.
Total sieving time: 7.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 8.60 hours.
 --------- CPU info (if available) ----------

10171+7

c146

name 名前matsui
date 日付March 12, 2008 06:22:34 UTC 2008 年 3 月 12 日 (水) 15 時 22 分 34 秒 (日本時間)
composite number 合成数
70112318470742189230991216185000433908480319262349860717935684928869182527261387878088634070747265932543928645509144531113608713830541790452994479<146>
prime factors 素因数
18280520184492143617094205240248705703843689<44>
3835356858729892849185282132443271335225604500851042024555355541432430314460970459178772287450451105111<103>
factorization results 素因数分解の結果
N=70112318470742189230991216185000433908480319262349860717935684928869182527261387878088634070747265932543928645509144531113608713830541790452994479
  ( 146 digits)

SNFS difficulty: 171 digits.

Divisors found:

 r1=18280520184492143617094205240248705703843689 (pp44)

 r2=3835356858729892849185282132443271335225604500851042024555355541432430314460970459178772287450451105111 (pp103)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 173.95 hours.

Scaled time: 186.30 units (timescale=1.071).

Factorization parameters were as follows:

n: 70112318470742189230991216185000433908480319262349860717935684928869182527261387878088634070747265932543928645509144531113608713830541790452994479
m: 10000000000000000000000000000000000
c5: 10
c0: 7
skew: 0.93
type: snfs


Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 9100001)

Primes: RFBsize:412849, AFBsize:412181, largePrimes:6263624 encountered

Relations: rels:6537561, finalFF:925066

Max relations in full relation-set: 28

Initial matrix: 825096 x 925066 with sparse part having weight 73008744.

Pruned matrix : 748237 x 752426 with weight 57526687.
Total sieving time: 157.26 hours.

Total relation processing time: 0.15 hours.

Matrix solve time: 16.18 hours.

Time per square root: 0.36 hours.

Prototype def-par.txt line would be:

snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 173.95 hours.

10172+7

c134

name 名前JMB
date 日付November 14, 2006 15:12:11 UTC 2006 年 11 月 15 日 (水) 0 時 12 分 11 秒 (日本時間)
composite number 合成数
32932459721406664134532951201557887700155696331124854191469049634876415125571008052030837500509840676235643782871106320026866144433439<134>
prime factors 素因数
331415043556425612418268467<27>
composite cofactor 合成数の残り
99369236133662997498046538437800014670090090351377956564066351892312953445624960793469992991788770475708517<107>
factorization results 素因数分解の結果
331415043556425612418268467  Method=ECM  B1=250000  Sigma=1467982943

c107

name 名前JMB
date 日付November 15, 2006 13:31:53 UTC 2006 年 11 月 15 日 (水) 22 時 31 分 53 秒 (日本時間)
composite number 合成数
99369236133662997498046538437800014670090090351377956564066351892312953445624960793469992991788770475708517<107>
prime factors 素因数
519653203407133915489828689837558457<36>
191222214126927932611849860371304656786463312566330254859420091542285581<72>
factorization results 素因数分解の結果
Number: Job
N=99369236133662997498046538437800014670090090351377956564066351892312953445624960793469992991788770475708517
  ( 107 digits)
Divisors found:
 r1=519653203407133915489828689837558457 (pp36)
 r2=191222214126927932611849860371304656786463312566330254859420091542285581 (pp72)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 42.52 hours.
Scaled time: 77.09 units (timescale=1.813).
Factorization parameters were as follows:
name: Job
n: 99369236133662997498046538437800014670090090351377956564066351892312953445624960793469992991788770475708517
skew: 32421.20
# norm 1.79e+14
c5: 4320
c4: -163080001
c3: -12032430761768
c2: 161855080600218078
c1: 6064058439032775643530
c0: -35072402530886590558603860
# alpha -5.01
Y1: 3652301983
Y0: -470276921272562053703
# Murphy_E 1.43e-09
# M 87827777070393059920832879408730568231186274136573932948700867604413699478459017235755435042804514255498026
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: RFBsize:183072, AFBsize:183374, largePrimes:4651120 encountered
Relations: rels:4941887, finalFF:559453
Max relations in full relation-set: 28
Initial matrix: 366521 x 559453 with sparse part having weight 52068998.
Pruned matrix : 243802 x 245698 with weight 30090006.
Total sieving time: 39.81 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.37 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 42.52 hours.
 --------- CPU info (if available) ----------

10174+7

c161

name 名前matsui
date 日付July 17, 2008 12:45:19 UTC 2008 年 7 月 17 日 (木) 21 時 45 分 19 秒 (日本時間)
composite number 合成数
89635854912843133047377276427170795358631018925432063304303551079726674670973827431931933014153835794202245565283120853861244899792595963890869576186164736796753<161>
prime factors 素因数
11284673357060483641065406171245055689125329700802610659045727<62>
7943150153899727308211547689503218266715542847275764169224019083630803802075842027404310615659484239<100>
factorization results 素因数分解の結果
N=89635854912843133047377276427170795358631018925432063304303551079726674670973827431931933014153835794202245565283120853861244899792595963890869576186164736796753
  ( 161 digits)

SNFS difficulty: 175 digits.

Divisors found:

 r1=11284673357060483641065406171245055689125329700802610659045727 (pp62)

 r2=7943150153899727308211547689503218266715542847275764169224019083630803802075842027404310615659484239 (pp100)

Version: GGNFS-0.77.1-20060513-pentium-m

Total time: 154.34 hours.

Scaled time: 221.02 units (timescale=1.432).

Factorization parameters were as follows:

n: 89635854912843133047377276427170795358631018925432063304303551079726674670973827431931933014153835794202245565283120853861244899792595963890869576186164736796753
m: 100000000000000000000000000000000000
c5: 1
c0: 70
skew: 2.34
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, 11200001)

Primes: RFBsize:501962, AFBsize:503466, largePrimes:6481592 encountered

Relations: rels:6948668, finalFF:1144792

Max relations in full relation-set: 28

Initial matrix: 1005492 x 1144792 with sparse part having weight 69603650.

Pruned matrix : 885359 x 890450 with weight 52443459.

Total sieving time: 148.66 hours.

Total relation processing time: 0.12 hours.

Matrix solve time: 5.17 hours.

Time per square root: 0.39 hours.

Prototype def-par.txt line would be:

snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 154.34 hours.

10178+7

c155

name 名前JMB
date 日付November 16, 2006 14:08:39 UTC 2006 年 11 月 16 日 (木) 23 時 8 分 39 秒 (日本時間)
composite number 合成数
67888916529632769497350547629027114535441055133991589512268735667122901562256462896557659436477665082324807497399469740373199045343944766304939320255537787<155>
prime factors 素因数
28611712108180931576351076849383<32>
composite cofactor 合成数の残り
2372766658386071479394164140981662985967236676580748175830928608025753371979903404338599883260199063087303313743132894406989<124>
factorization results 素因数分解の結果
p32: 28611712108180931576351076849383

c124: 2372766658386071479394164140981662985967236676580748175830928608025753371979903404338599883260199063087303313743132894406989

   B1: 1000000
   Sigma: 1041472518

c124

name 名前Sinkiti Sibata
date 日付September 30, 2009 05:58:36 UTC 2009 年 9 月 30 日 (水) 14 時 58 分 36 秒 (日本時間)
composite number 合成数
2372766658386071479394164140981662985967236676580748175830928608025753371979903404338599883260199063087303313743132894406989<124>
prime factors 素因数
14520779712977015969339895588943857520182395580183706784454421<62>
163404906987574736909472325954343135617120818034514302156773209<63>
factorization results 素因数分解の結果
Number: 10007_178
N=2372766658386071479394164140981662985967236676580748175830928608025753371979903404338599883260199063087303313743132894406989
  ( 124 digits)
Divisors found:
 r1=14520779712977015969339895588943857520182395580183706784454421 (pp62)
 r2=163404906987574736909472325954343135617120818034514302156773209 (pp63)
Version: Msieve-1.40
Total time: 62.63 hours.
Scaled time: 209.13 units (timescale=3.339).
Factorization parameters were as follows:
name: 10007_178
# Murphy_E = 1.911810e-10, selected by Jeff Gilchrist
n: 2372766658386071479394164140981662985967236676580748175830928608025753371979903404338599883260199063087303313743132894406989
Y0: -617353060601615830149752
Y1: 20088237568453
c0: -130899536347007954275021914327
c1: 19214420838302689840482678
c2: -385427287466242970753
c3: -3461889503623372
c4: -5310923826
c5: 26460
skew: 149044.72
type: gnfs
# selected mechanically
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3250000, 6150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 885610 x 885858
Total sieving time: 60.70 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.50 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 62.63 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
2011e374Dennis LangdeauDecember 7, 2008 20:11:25 UTC 2008 年 12 月 8 日 (月) 5 時 11 分 25 秒 (日本時間)
255e4214Dennis LangdeauDecember 7, 2008 20:11:25 UTC 2008 年 12 月 8 日 (月) 5 時 11 分 25 秒 (日本時間)
3025e4410Dennis LangdeauDecember 7, 2008 23:00:07 UTC 2008 年 12 月 8 日 (月) 8 時 0 分 7 秒 (日本時間)
351e60--
403e6200 / 1646Andreas TeteJuly 23, 2009 20:36:16 UTC 2009 年 7 月 24 日 (金) 5 時 36 分 16 秒 (日本時間)
4511e6200 / 4435Serge BatalovJanuary 16, 2009 05:13:06 UTC 2009 年 1 月 16 日 (金) 14 時 13 分 6 秒 (日本時間)

10179+7

c177

name 名前Alexander Mkrtychyan
date 日付June 9, 2007 03:47:30 UTC 2007 年 6 月 9 日 (土) 12 時 47 分 30 秒 (日本時間)
composite number 合成数
598802395209580838323353293413173652694610778443113772455089820359281437125748502994011976047904191616766467065868263473053892215568862275449101796407185628742514970059880239521<177>
prime factors 素因数
60950560869098197619847712489744585923674505423726671<53>
9824395160130058065900701752890082125561413858734478820643602889430506537378449350699284748319422251954897604377774555118351<124>
factorization results 素因数分解の結果
Number: 10007_109
N=598802395209580838323353293413173652694610778443113772455089820359281437125748502994011976047904191616766467065868263473053892215568862275449101796407185628742514970059880239521
  ( 177 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=60950560869098197619847712489744585923674505423726671 (pp53)
 r2=9824395160130058065900701752890082125561413858734478820643602889430506537378449350699284748319422251954897604377774555118351 (pp124)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 409.50 hours.
Scaled time: 819.00 units (timescale=2.000).
Factorization parameters were as follows:
n: 598802395209580838323353293413173652694610778443113772455089820359281437125748502994011976047904191616766467065868263473053892215568862275449101796407185628742514970059880239521
m: 1000000000000000000000000000000000000
c5: 1
c0: 70
skew: 2.34
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, 8700001)
Primes: RFBsize:501962, AFBsize:503466, largePrimes:6469967 encountered
Relations: rels:6943936, finalFF:1154759
Max relations in full relation-set: 28
Initial matrix: 1005492 x 1154759 with sparse part having weight 64569777.
Pruned matrix : 877696 x 882787 with weight 48153746.
Total sieving time: 382.49 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 26.02 hours.
Time per square root: 0.30 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: 409.50 hours.
software ソフトウェア
ggnfs-0.77.1-20060513-win32
execution environment 実行環境
Core 2 Duo 6300, Windows XP

10180+7

c149

name 名前Wataru Sakai
date 日付June 17, 2012 06:31:31 UTC 2012 年 6 月 17 日 (日) 15 時 31 分 31 秒 (日本時間)
composite number 合成数
82116744222187701239247396329320191475040669501670793013228375159608060331142377231961661091267077960206885516004799410538536387265847283870505731831<149>
prime factors 素因数
62749865949626149309304656462244166924665040795418063<53>
1308636169647099234562410617205429696324248369505300568597234296816003400048786121573821895464537<97>
factorization results 素因数分解の結果
Number: 10007_180
N=82116744222187701239247396329320191475040669501670793013228375159608060331142377231961661091267077960206885516004799410538536387265847283870505731831
  ( 149 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=62749865949626149309304656462244166924665040795418063
 r2=1308636169647099234562410617205429696324248369505300568597234296816003400048786121573821895464537
Version: 
Total time: 560.27 hours.
Scaled time: 940.13 units (timescale=1.678).
Factorization parameters were as follows:
n: 82116744222187701239247396329320191475040669501670793013228375159608060331142377231961661091267077960206885516004799410538536387265847283870505731831
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: 7
skew: 1.48
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 885161 x 885409
Total sieving time: 560.27 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,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 560.27 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
403e62350500Erik BrangerSeptember 24, 2009 21:31:24 UTC 2009 年 9 月 25 日 (金) 6 時 31 分 24 秒 (日本時間)
1850Wataru SakaiApril 12, 2012 06:00:19 UTC 2012 年 4 月 12 日 (木) 15 時 0 分 19 秒 (日本時間)

10181+7

c166

name 名前Andreas Tete
date 日付July 26, 2013 08:02:01 UTC 2013 年 7 月 26 日 (金) 17 時 2 分 1 秒 (日本時間)
composite number 合成数
3555207095596874059093022653030557476400549185657127779363050711219171348248885576997941683682191594431627017939174302149042794928815879758855123596648038931988283101<166>
prime factors 素因数
22120990989063401023849849790830253221112198562672365020829751141235969<71>
160716447891261535188504101212700236839353740194435303529215846624303769803432292481872724760029<96>
factorization results 素因数分解の結果
Mon Jul 22 10:37:04 2013 -> factmsieve.py (v0.76)
Mon Jul 22 10:37:04 2013 -> This is client 1 of 1
Mon Jul 22 10:37:04 2013 -> Running on 2 Cores with 2 hyper-threads per Core
Mon Jul 22 10:37:04 2013 -> Working with NAME = 10007_181
Mon Jul 22 10:37:04 2013 -> Selected lattice siever: gnfs-lasieve4I13e
Mon Jul 22 10:37:04 2013 -> Creating param file to detect parameter changes...
Mon Jul 22 10:37:04 2013 -> Running setup ...
Mon Jul 22 10:37:04 2013 -> Estimated minimum relations needed: 1.58489e+07
Mon Jul 22 10:37:04 2013 -> cleaning up before a restart
Mon Jul 22 10:37:04 2013 -> Running lattice siever ...
Mon Jul 22 10:37:04 2013 -> entering sieving loop
<snipp sieving>
Fri Jul 26 00:23:51 2013 Found 19142268 relations, 120.8% of the estimated minimum (15848931).
Fri Jul 26 00:23:51 2013  
Fri Jul 26 00:23:51 2013  
Fri Jul 26 00:23:51 2013  Msieve v. 1.52 (SVN 927)
Fri Jul 26 00:23:51 2013  random seeds: d5249b00 21db835c
Fri Jul 26 00:23:51 2013  factoring 3555207095596874059093022653030557476400549185657127779363050711219171348248885576997941683682191594431627017939174302149042794928815879758855123596648038931988283101 (166 digits)
Fri Jul 26 00:23:55 2013  searching for 15-digit factors
Fri Jul 26 00:23:58 2013  commencing number field sieve (166-digit input)
Fri Jul 26 00:23:58 2013  R0: -1000000000000000000000000000000000000
Fri Jul 26 00:23:58 2013  R1: 1
Fri Jul 26 00:23:58 2013  A0: 7
Fri Jul 26 00:23:58 2013  A1: 0
Fri Jul 26 00:23:58 2013  A2: 0
Fri Jul 26 00:23:58 2013  A3: 0
Fri Jul 26 00:23:58 2013  A4: 0
Fri Jul 26 00:23:58 2013  A5: 10
Fri Jul 26 00:23:58 2013  skew 0.93, size 1.175e-012, alpha 1.724, combined = 9.037e-011 rroots = 1
Fri Jul 26 00:23:58 2013  
Fri Jul 26 00:23:58 2013  commencing relation filtering
Fri Jul 26 00:23:58 2013  estimated available RAM is 3884.5 MB
Fri Jul 26 00:23:58 2013  commencing duplicate removal, pass 1
Fri Jul 26 00:24:12 2013  error -9 reading relation 859249
Fri Jul 26 00:24:12 2013  error -15 reading relation 906103
Fri Jul 26 00:24:13 2013  error -15 reading relation 945834
Fri Jul 26 00:24:13 2013  error -1 reading relation 993583
Fri Jul 26 00:34:22 2013  found 2818748 hash collisions in 19142263 relations
Fri Jul 26 00:36:11 2013  added 1117 free relations
Fri Jul 26 00:36:11 2013  commencing duplicate removal, pass 2
Fri Jul 26 00:36:43 2013  found 2130674 duplicates and 17012706 unique relations
Fri Jul 26 00:36:43 2013  memory use: 82.6 MB
Fri Jul 26 00:36:43 2013  reading ideals above 720000
Fri Jul 26 00:36:44 2013  commencing singleton removal, initial pass
Fri Jul 26 00:47:28 2013  memory use: 376.5 MB
Fri Jul 26 00:47:29 2013  reading all ideals from disk
Fri Jul 26 00:47:38 2013  memory use: 527.1 MB
Fri Jul 26 00:47:41 2013  keeping 19334264 ideals with weight <= 200, target excess is 115742
Fri Jul 26 00:47:44 2013  commencing in-memory singleton removal
Fri Jul 26 00:47:46 2013  begin with 17012706 relations and 19334264 unique ideals
Fri Jul 26 00:48:13 2013  reduce to 6228453 relations and 6013459 ideals in 21 passes
Fri Jul 26 00:48:13 2013  max relations containing the same ideal: 93
Fri Jul 26 00:48:19 2013  removing 479118 relations and 438751 ideals in 40367 cliques
Fri Jul 26 00:48:20 2013  commencing in-memory singleton removal
Fri Jul 26 00:48:21 2013  begin with 5749335 relations and 6013459 unique ideals
Fri Jul 26 00:48:29 2013  reduce to 5716697 relations and 5541711 ideals in 9 passes
Fri Jul 26 00:48:29 2013  max relations containing the same ideal: 84
Fri Jul 26 00:48:35 2013  removing 350562 relations and 310195 ideals in 40367 cliques
Fri Jul 26 00:48:36 2013  commencing in-memory singleton removal
Fri Jul 26 00:48:37 2013  begin with 5366135 relations and 5541711 unique ideals
Fri Jul 26 00:48:43 2013  reduce to 5346725 relations and 5211980 ideals in 8 passes
Fri Jul 26 00:48:43 2013  max relations containing the same ideal: 81
Fri Jul 26 00:48:52 2013  relations with 0 large ideals: 2831
Fri Jul 26 00:48:52 2013  relations with 1 large ideals: 1125
Fri Jul 26 00:48:52 2013  relations with 2 large ideals: 19668
Fri Jul 26 00:48:52 2013  relations with 3 large ideals: 143211
Fri Jul 26 00:48:52 2013  relations with 4 large ideals: 548428
Fri Jul 26 00:48:52 2013  relations with 5 large ideals: 1212027
Fri Jul 26 00:48:52 2013  relations with 6 large ideals: 1616547
Fri Jul 26 00:48:52 2013  relations with 7+ large ideals: 1802888
Fri Jul 26 00:48:52 2013  commencing 2-way merge
Fri Jul 26 00:49:00 2013  reduce to 3078743 relation sets and 2943999 unique ideals
Fri Jul 26 00:49:00 2013  ignored 1 oversize relation sets
Fri Jul 26 00:49:00 2013  commencing full merge
Fri Jul 26 00:50:59 2013  memory use: 353.7 MB
Fri Jul 26 00:51:00 2013  found 1557995 cycles, need 1542199
Fri Jul 26 00:51:01 2013  weight of 1542199 cycles is about 107969486 (70.01/cycle)
Fri Jul 26 00:51:01 2013  distribution of cycle lengths:
Fri Jul 26 00:51:01 2013  1 relations: 213863
Fri Jul 26 00:51:01 2013  2 relations: 190373
Fri Jul 26 00:51:01 2013  3 relations: 178604
Fri Jul 26 00:51:01 2013  4 relations: 157118
Fri Jul 26 00:51:01 2013  5 relations: 138664
Fri Jul 26 00:51:01 2013  6 relations: 115054
Fri Jul 26 00:51:01 2013  7 relations: 99390
Fri Jul 26 00:51:01 2013  8 relations: 83256
Fri Jul 26 00:51:01 2013  9 relations: 69533
Fri Jul 26 00:51:01 2013  10+ relations: 296344
Fri Jul 26 00:51:01 2013  heaviest cycle: 24 relations
Fri Jul 26 00:51:01 2013  commencing cycle optimization
Fri Jul 26 00:51:06 2013  start with 9075932 relations
Fri Jul 26 00:51:46 2013  pruned 188027 relations
Fri Jul 26 00:51:46 2013  memory use: 306.4 MB
Fri Jul 26 00:51:46 2013  distribution of cycle lengths:
Fri Jul 26 00:51:46 2013  1 relations: 213863
Fri Jul 26 00:51:46 2013  2 relations: 194267
Fri Jul 26 00:51:46 2013  3 relations: 183988
Fri Jul 26 00:51:46 2013  4 relations: 159934
Fri Jul 26 00:51:46 2013  5 relations: 141257
Fri Jul 26 00:51:46 2013  6 relations: 116161
Fri Jul 26 00:51:46 2013  7 relations: 99294
Fri Jul 26 00:51:46 2013  8 relations: 82989
Fri Jul 26 00:51:46 2013  9 relations: 68719
Fri Jul 26 00:51:46 2013  10+ relations: 281727
Fri Jul 26 00:51:46 2013  heaviest cycle: 24 relations
Fri Jul 26 00:51:50 2013  RelProcTime: 1672
Fri Jul 26 00:51:50 2013  elapsed time 00:27:59
Fri Jul 26 00:51:50 2013 LatSieveTime: 7378.12
Fri Jul 26 00:51:50 2013 -> Running matrix solving step ...
Fri Jul 26 00:51:50 2013  
Fri Jul 26 00:51:50 2013  
Fri Jul 26 00:51:50 2013  Msieve v. 1.52 (SVN 927)
Fri Jul 26 00:51:50 2013  random seeds: f3561628 d2bd4337
Fri Jul 26 00:51:50 2013  factoring 3555207095596874059093022653030557476400549185657127779363050711219171348248885576997941683682191594431627017939174302149042794928815879758855123596648038931988283101 (166 digits)
Fri Jul 26 00:51:54 2013  searching for 15-digit factors
Fri Jul 26 00:51:57 2013  commencing number field sieve (166-digit input)
Fri Jul 26 00:51:57 2013  R0: -1000000000000000000000000000000000000
Fri Jul 26 00:51:57 2013  R1: 1
Fri Jul 26 00:51:57 2013  A0: 7
Fri Jul 26 00:51:57 2013  A1: 0
Fri Jul 26 00:51:57 2013  A2: 0
Fri Jul 26 00:51:57 2013  A3: 0
Fri Jul 26 00:51:57 2013  A4: 0
Fri Jul 26 00:51:57 2013  A5: 10
Fri Jul 26 00:51:57 2013  skew 0.93, size 1.175e-012, alpha 1.724, combined = 9.037e-011 rroots = 1
Fri Jul 26 00:51:57 2013  
Fri Jul 26 00:51:57 2013  commencing linear algebra
Fri Jul 26 00:51:59 2013  read 1542199 cycles
Fri Jul 26 00:52:05 2013  cycles contain 5195272 unique relations
Fri Jul 26 00:55:01 2013  read 5195272 relations
Fri Jul 26 00:55:19 2013  using 20 quadratic characters above 268434548
Fri Jul 26 00:56:40 2013  building initial matrix
Fri Jul 26 00:59:15 2013  memory use: 635.3 MB
Fri Jul 26 00:59:21 2013  read 1542199 cycles
Fri Jul 26 00:59:22 2013  matrix is 1542020 x 1542199 (462.8 MB) with weight 136182679 (88.30/col)
Fri Jul 26 00:59:22 2013  sparse part has weight 104364055 (67.67/col)
Fri Jul 26 01:00:05 2013  filtering completed in 2 passes
Fri Jul 26 01:00:06 2013  matrix is 1539380 x 1539558 (462.6 MB) with weight 136093695 (88.40/col)
Fri Jul 26 01:00:06 2013  sparse part has weight 104332655 (67.77/col)
Fri Jul 26 01:00:15 2013  matrix starts at (0, 0)
Fri Jul 26 01:00:17 2013  matrix is 1539380 x 1539558 (462.6 MB) with weight 136093695 (88.40/col)
Fri Jul 26 01:00:17 2013  sparse part has weight 104332655 (67.77/col)
Fri Jul 26 01:00:17 2013  saving the first 48 matrix rows for later
Fri Jul 26 01:00:18 2013  matrix includes 64 packed rows
Fri Jul 26 01:00:19 2013  matrix is 1539332 x 1539558 (437.6 MB) with weight 107856855 (70.06/col)
Fri Jul 26 01:00:19 2013  sparse part has weight 99316685 (64.51/col)
Fri Jul 26 01:00:19 2013  using block size 8192 and superblock size 294912 for processor cache size 3072 kB
Fri Jul 26 01:00:40 2013  commencing Lanczos iteration (4 threads)
Fri Jul 26 01:00:40 2013  memory use: 351.9 MB
Fri Jul 26 01:01:04 2013  linear algebra at 0.1%, ETA 6h28m
Fri Jul 26 01:01:12 2013  checkpointing every 240000 dimensions
Fri Jul 26 07:40:14 2013  lanczos halted after 24344 iterations (dim = 1539332)
Fri Jul 26 07:40:19 2013  recovered 38 nontrivial dependencies
Fri Jul 26 07:40:20 2013  BLanczosTime: 24503
Fri Jul 26 07:40:20 2013  elapsed time 06:48:30
Fri Jul 26 07:40:20 2013 -> Running square root step ...
Fri Jul 26 07:40:20 2013  
Fri Jul 26 07:40:20 2013  
Fri Jul 26 07:40:20 2013  Msieve v. 1.52 (SVN 927)
Fri Jul 26 07:40:20 2013  random seeds: 16612c9c d87f99fe
Fri Jul 26 07:40:20 2013  factoring 3555207095596874059093022653030557476400549185657127779363050711219171348248885576997941683682191594431627017939174302149042794928815879758855123596648038931988283101 (166 digits)
Fri Jul 26 07:40:24 2013  searching for 15-digit factors
Fri Jul 26 07:40:27 2013  commencing number field sieve (166-digit input)
Fri Jul 26 07:40:27 2013  R0: -1000000000000000000000000000000000000
Fri Jul 26 07:40:27 2013  R1: 1
Fri Jul 26 07:40:27 2013  A0: 7
Fri Jul 26 07:40:27 2013  A1: 0
Fri Jul 26 07:40:27 2013  A2: 0
Fri Jul 26 07:40:27 2013  A3: 0
Fri Jul 26 07:40:27 2013  A4: 0
Fri Jul 26 07:40:27 2013  A5: 10
Fri Jul 26 07:40:27 2013  skew 0.93, size 1.175e-012, alpha 1.724, combined = 9.037e-011 rroots = 1
Fri Jul 26 07:40:27 2013  
Fri Jul 26 07:40:27 2013  commencing square root phase
Fri Jul 26 07:40:27 2013  reading relations for dependency 1
Fri Jul 26 07:40:29 2013  read 769400 cycles
Fri Jul 26 07:40:32 2013  cycles contain 2596038 unique relations
Fri Jul 26 07:42:24 2013  read 2596038 relations
Fri Jul 26 07:43:01 2013  multiplying 2596038 relations
Fri Jul 26 07:47:03 2013  multiply complete, coefficients have about 66.21 million bits
Fri Jul 26 07:47:05 2013  initial square root is modulo 56591
Fri Jul 26 07:52:45 2013  GCD is 1, no factor found
Fri Jul 26 07:52:45 2013  reading relations for dependency 2
Fri Jul 26 07:52:46 2013  read 769965 cycles
Fri Jul 26 07:52:50 2013  cycles contain 2596176 unique relations
Fri Jul 26 07:54:26 2013  read 2596176 relations
Fri Jul 26 07:55:03 2013  multiplying 2596176 relations
Fri Jul 26 07:59:06 2013  multiply complete, coefficients have about 66.22 million bits
Fri Jul 26 07:59:08 2013  initial square root is modulo 56681
Fri Jul 26 08:04:48 2013  sqrtTime: 1461
Fri Jul 26 08:04:48 2013  prp71 factor: 22120990989063401023849849790830253221112198562672365020829751141235969
Fri Jul 26 08:04:48 2013  prp96 factor: 160716447891261535188504101212700236839353740194435303529215846624303769803432292481872724760029
Fri Jul 26 08:04:48 2013  elapsed time 00:24:28
Fri Jul 26 08:04:49 2013 -> Computing 1.37482e+09 scale for this machine...
Fri Jul 26 08:04:49 2013 -> procrels -speedtest> PIPE
software ソフトウェア
factmsieve.py V076 via msieve 1.52 (svn 927)
execution environment 実行環境
Core i3-350M @2.33GHz with Windows Home Premium64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e460Rich DickersonSeptember 25, 2010 17:21:32 UTC 2010 年 9 月 26 日 (日) 2 時 21 分 32 秒 (日本時間)
351e6110Rich DickersonSeptember 25, 2010 17:31:36 UTC 2010 年 9 月 26 日 (日) 2 時 31 分 36 秒 (日本時間)
403e61300300Rich DickersonOctober 1, 2010 20:37:59 UTC 2010 年 10 月 2 日 (土) 5 時 37 分 59 秒 (日本時間)
1000Dmitry DomanovAugust 21, 2012 20:55:03 UTC 2012 年 8 月 22 日 (水) 5 時 55 分 3 秒 (日本時間)
4511e61000 / 3837Ignacio SantosFebruary 4, 2013 06:50:19 UTC 2013 年 2 月 4 日 (月) 15 時 50 分 19 秒 (日本時間)
5043e6100 / 7279Rich DickersonJune 14, 2013 00:34:30 UTC 2013 年 6 月 14 日 (金) 9 時 34 分 30 秒 (日本時間)

10182+7

c157

name 名前Justin Card
date 日付June 23, 2010 02:58:37 UTC 2010 年 6 月 23 日 (水) 11 時 58 分 37 秒 (日本時間)
composite number 合成数
6757872193567318388538500227189105570035047793192001207475336814931644819508615641168755976521894296865922024131000944435476099198418217948038994826090300707<157>
prime factors 素因数
2153399248296943364081081501878494018763<40>
3138234676598828470656798168356886902908874488845033576645328253801437377333071455484868309926538288560396376798471689<118>
factorization results 素因数分解の結果
[2010-06-23 02:48:36 GMT] a: Factor found!  10007_182 / (probable) 2153399248296943364081081501878494018763  B1: 3000000 sigma: 3220181386 (found in step 2)
software ソフトウェア
gmp-ecm 6.2
execution environment 実行環境
Athlon 64x2, Ubuntu Linux 10.04

10183+7

c171

name 名前Robert Backstrom
date 日付February 27, 2012 20:42:54 UTC 2012 年 2 月 28 日 (火) 5 時 42 分 54 秒 (日本時間)
composite number 合成数
531594392727667336830691850424727388878314708765699464989488303529870611683042591885193296151014995877820115093245978551509568015703708769057499456448025334237114170600907<171>
prime factors 素因数
2453944411670261110607727796210709636041092454366547624825304790291181755293899611<82>
216628539016432370064885058723648726018729564291598142943289732340076269222686684670112337<90>
factorization results 素因数分解の結果
Number: n
N=531594392727667336830691850424727388878314708765699464989488303529870611683042591885193296151014995877820115093245978551509568015703708769057499456448025334237114170600907
  ( 171 digits)
SNFS difficulty: 183 digits.
Divisors found:

Tue Feb 28 04:53:00 2012  prp82 factor: 2453944411670261110607727796210709636041092454366547624825304790291181755293899611
Tue Feb 28 04:53:00 2012  prp90 factor: 216628539016432370064885058723648726018729564291598142943289732340076269222686684670112337
Tue Feb 28 04:53:00 2012  elapsed time 04:03:37 (Msieve 1.44 - dependency 10)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.644).
Factorization parameters were as follows:
name: KA_10007_183
n: 531594392727667336830691850424727388878314708765699464989488303529870611683042591885193296151014995877820115093245978551509568015703708769057499456448025334237114170600907
m: 1000000000000000000000000000000000000
#  c171, diff: 183
skew: 0.37
deg: 5
c5: 1000
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5503613 hash collisions in 75609965 relations (72889405 unique)
Msieve: matrix is 1037973 x 1038221 (286.2 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,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e460Rich DickersonSeptember 27, 2010 16:40:19 UTC 2010 年 9 月 28 日 (火) 1 時 40 分 19 秒 (日本時間)
351e6102Rich DickersonSeptember 27, 2010 17:08:15 UTC 2010 年 9 月 28 日 (火) 2 時 8 分 15 秒 (日本時間)
403e6300 / 2321Rich DickersonOctober 1, 2010 21:02:20 UTC 2010 年 10 月 2 日 (土) 6 時 2 分 20 秒 (日本時間)

10184+7

c137

name 名前JMB
date 日付November 16, 2006 14:06:39 UTC 2006 年 11 月 16 日 (木) 23 時 6 分 39 秒 (日本時間)
composite number 合成数
11613476981946154174336403165761257050714802258296808190329733696363707783793857296545063110453453318777707015417112700778209921332332159<137>
prime factors 素因数
13812625427379003182132914528083742520447<41>
840787078677037174391304726181032112104649288083138093961703021109819735570348848562966541610497<96>
factorization results 素因数分解の結果
P41: 13812625427379003182132914528083742520447
p96: 840787078677037174391304726181032112104649288083138093961703021109819735570348848562966541610497

   B1: 1000000
   Sigma: 2468406548

10186+7

c148

name 名前suberi
date 日付July 2, 2008 14:46:26 UTC 2008 年 7 月 2 日 (水) 23 時 46 分 26 秒 (日本時間)
composite number 合成数
5023482762926248824347645509714158741119177216169800731997957823494140620243962659691275057376135836959177806880494846374574423027400909936342758563<148>
prime factors 素因数
10519579813202962164191587968549958338845129<44>
477536446524351969730209842702002079292017485236107832937025486800606023755171179378285725378006234337547<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2883945777
Step 1 took 24193ms
Step 2 took 9293ms
********** Factor found in step 2: 10519579813202962164191587968549958338845129
Found probable prime factor of 44 digits: 10519579813202962164191587968549958338845129
Probable prime cofactor 477536446524351969730209842702002079292017485236107832937025486800606023755171179378285725378006234337547 has 105 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Turion 64 X2 Mobile 1.8GHz, Gentoo Linux

10188+7

c186

name 名前Wataru Sakai
date 日付August 19, 2008 13:01:23 UTC 2008 年 8 月 19 日 (火) 22 時 1 分 23 秒 (日本時間)
composite number 合成数
108813928182807399347116430903155603917301414581066376496191512513601741022850924918389553862894450489662676822633297062023939064200217627856365614798694232861806311207834602829162132753<186>
prime factors 素因数
546994870962230793373065729931284587933779712219<48>
198930436022901655488560388986742823483843042807587457103337590796061445066460085353325337124807905412409771088506395458055122523822016387<138>
factorization results 素因数分解の結果
Number: 10007_188
N=108813928182807399347116430903155603917301414581066376496191512513601741022850924918389553862894450489662676822633297062023939064200217627856365614798694232861806311207834602829162132753
  ( 186 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=546994870962230793373065729931284587933779712219 (pp48)
 r2=198930436022901655488560388986742823483843042807587457103337590796061445066460085353325337124807905412409771088506395458055122523822016387 (pp138)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 842.87 hours.
Scaled time: 1690.80 units (timescale=2.006).
Factorization parameters were as follows:
n: 108813928182807399347116430903155603917301414581066376496191512513601741022850924918389553862894450489662676822633297062023939064200217627856365614798694232861806311207834602829162132753
m: 10000000000000000000000000000000000000
c5: 1000
c0: 7
skew: 0.37
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, 15000001)
Primes: RFBsize:501962, AFBsize:501101, largePrimes:6954314 encountered
Relations: rels:7527639, finalFF:1210235
Max relations in full relation-set: 32
Initial matrix: 1003129 x 1210235 with sparse part having weight 117655184.
Pruned matrix : 840397 x 845476 with weight 97173257.
Total sieving time: 833.71 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 8.78 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 842.87 hours.
 --------- CPU info (if available) ----------

10189+7

c184

name 名前JMB
date 日付November 18, 2006 14:51:18 UTC 2006 年 11 月 18 日 (土) 23 時 51 分 18 秒 (日本時間)
composite number 合成数
7953614520118667928640170525495311344240390045256066619475220513962570290068321548727819357507019064814004724447024950488749612261292144214938478791686882103571968280985293766752300583<184>
prime factors 素因数
3159054500600988812343025556881597237<37>
composite cofactor 合成数の残り
2517719943928015933161812602621927145881018065738612169370878161327571268215304182048198373665295635371013719764424373030947660451097961657183402859<148>
factorization results 素因数分解の結果
p37: 3159054500600988812343025556881597237

c148: 2517719943928015933161812602621927145881018065738612169370878161327571268215304182048198373665295635371013719764424373030947660451097961657183402859

   B1: 1000000
   Sigma: 3073689678

c148

name 名前Andreas Tete
date 日付July 21, 2013 22:02:45 UTC 2013 年 7 月 22 日 (月) 7 時 2 分 45 秒 (日本時間)
composite number 合成数
2517719943928015933161812602621927145881018065738612169370878161327571268215304182048198373665295635371013719764424373030947660451097961657183402859<148>
prime factors 素因数
104007034403290234476642512982355682437682886170729566725236338801<66>
24207208275600717848274358311705933431960902722820265989752982045472004104095733659<83>
factorization results 素因数分解の結果
104007034403290234476642512982355682437682886170729566725236338801
execution environment 実行環境
Database factordb.com

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6100Rich DickersonSeptember 29, 2010 14:51:28 UTC 2010 年 9 月 29 日 (水) 23 時 51 分 28 秒 (日本時間)
403e61120120Rich DickersonSeptember 29, 2010 15:34:33 UTC 2010 年 9 月 30 日 (木) 0 時 34 分 33 秒 (日本時間)
1000Dmitry DomanovAugust 21, 2012 20:54:51 UTC 2012 年 8 月 22 日 (水) 5 時 54 分 51 秒 (日本時間)
4511e6550 / 4228Rich DickersonSeptember 30, 2010 02:54:25 UTC 2010 年 9 月 30 日 (木) 11 時 54 分 25 秒 (日本時間)

10190+7

c128

name 名前JMB
date 日付November 15, 2006 05:16:23 UTC 2006 年 11 月 15 日 (水) 14 時 16 分 23 秒 (日本時間)
composite number 合成数
49850640618312591667830495571059325582264810699438715755014141783569917644785960281717253690576520448716791987197563412694116009<128>
prime factors 素因数
539949550351081895686956255135631<33>
1228769056329366897148936730013579567923<40>
75135865542155053300373496564980174488903912122130011293<56>
factorization results 素因数分解の結果
ECM:
P33: 539949550351081895686956255135631
sigma: 3780869432
B1: 1000000


GNFS (GGNFS):
Number: Job
N=92324626598724059947748948540572122551209847634089980073675521676448234822325379449790050554439
  ( 95 digits)
Divisors found:
 r1=1228769056329366897148936730013579567923 (pp40)
 r2=75135865542155053300373496564980174488903912122130011293 (pp56)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 7.99 hours.
Scaled time: 14.24 units (timescale=1.783).
Factorization parameters were as follows:
name: Job
n:  92324626598724059947748948540572122551209847634089980073675521676448234822325379449790050554439
m:  6052030409229541070633
deg: 4
c4: 68819760
c3: 523795266544
c2: 139484912789525633
c1: -2180424713438310492
c0: -186745021330265119032750
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.627
# E(F1,F2) = 3.776995e-05
# GGNFS version 0.77.1-20060513-athlon-xp polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1163561373.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 10000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 710001)
Primes: RFBsize:92938, AFBsize:92932, largePrimes:1912725 encountered
Relations: rels:2016957, finalFF:253729
Max relations in full relation-set: 28
Initial matrix: 185949 x 253729 with sparse part having weight 21506926.
Pruned matrix : 157656 x 158649 with weight 11234793.
Total sieving time: 7.51 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 7.99 hours.
 --------- CPU info (if available) ----------

10191+7

c182

name 名前Robert Backstrom
date 日付February 18, 2012 06:42:21 UTC 2012 年 2 月 18 日 (土) 15 時 42 分 21 秒 (日本時間)
composite number 合成数
21758454198367857749304892835802079785456454388612031694566322352539438099578506909559122383220076992712294936112982355699814406673881185501709318813224637806231114440980457678522509<182>
prime factors 素因数
17403535733743918820391382007460264326230173218462003234619548812297065504167508402593<86>
1250231822501455070658189609089228994703202422266443329180927891486570572341791417530482388981613<97>
factorization results 素因数分解の結果
Number: n
N=21758454198367857749304892835802079785456454388612031694566322352539438099578506909559122383220076992712294936112982355699814406673881185501709318813224637806231114440980457678522509
  ( 182 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sat Feb 18 14:07:17 2012  prp86 factor: 17403535733743918820391382007460264326230173218462003234619548812297065504167508402593
Sat Feb 18 14:07:17 2012  prp97 factor: 1250231822501455070658189609089228994703202422266443329180927891486570572341791417530482388981613
Sat Feb 18 14:07:17 2012  elapsed time 03:26:42 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_10007_191
n: 21758454198367857749304892835802079785456454388612031694566322352539438099578506909559122383220076992712294936112982355699814406673881185501709318813224637806231114440980457678522509
m: 100000000000000000000000000000000000000
#  c182, diff: 191
skew: 0.93
deg: 5
c5: 10
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9751931 hash collisions in 77951206 relations (72453672 unique)
Msieve: matrix is 1375247 x 1375479 (385.2 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,191,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e446360Rich DickersonOctober 1, 2010 22:10:21 UTC 2010 年 10 月 2 日 (土) 7 時 10 分 21 秒 (日本時間)
403Ignacio SantosOctober 3, 2010 08:31:10 UTC 2010 年 10 月 3 日 (日) 17 時 31 分 10 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 08:31:52 UTC 2010 年 10 月 3 日 (日) 17 時 31 分 52 秒 (日本時間)
403e6110 / 2143Ignacio SantosOctober 3, 2010 08:31:52 UTC 2010 年 10 月 3 日 (日) 17 時 31 分 52 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 3, 2010 08:31:52 UTC 2010 年 10 月 3 日 (日) 17 時 31 分 52 秒 (日本時間)

10192+7

c161

name 名前Jo Yeong Uk
date 日付September 12, 2018 10:13:23 UTC 2018 年 9 月 12 日 (水) 19 時 13 分 23 秒 (日本時間)
composite number 合成数
93406656662376402713194190498275614027663640661563581399052979097770968297171464401423873124027553826340968761819238386644447981797091414985572286247452523905877<161>
prime factors 素因数
7407231610479614810330350785180080211429941943189980696711116367767<67>
12610197922018043260375021954870963034573331436479499568236804139579640768733779411192636025331<95>
factorization results 素因数分解の結果
Number: 10007_192
N=93406656662376402713194190498275614027663640661563581399052979097770968297171464401423873124027553826340968761819238386644447981797091414985572286247452523905877
  ( 161 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=7407231610479614810330350785180080211429941943189980696711116367767
 r2=12610197922018043260375021954870963034573331436479499568236804139579640768733779411192636025331
Version: 
Total time: 121.01 hours.
Scaled time: 634.83 units (timescale=5.246).
Factorization parameters were as follows:
n: 93406656662376402713194190498275614027663640661563581399052979097770968297171464401423873124027553826340968761819238386644447981797091414985572286247452523905877
m: 100000000000000000000000000000000000000
deg: 5
c5: 100
c0: 7
skew: 0.59
# Murphy_E = 3.682e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
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: 55/55
Sieved rational special-q in [5500000, 10500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22526784
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2145917 x 2146165
Total sieving time: 110.70 hours.
Total relation processing time: 3.02 hours.
Matrix solve time: 6.96 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 121.01 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.77 BogoMIPS (lpj=3399888)
Total of 12 processors activated (81597.31 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
3025e446360Rich DickersonOctober 1, 2010 22:14:23 UTC 2010 年 10 月 2 日 (土) 7 時 14 分 23 秒 (日本時間)
403Ignacio SantosOctober 3, 2010 08:32:16 UTC 2010 年 10 月 3 日 (日) 17 時 32 分 16 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 08:32:32 UTC 2010 年 10 月 3 日 (日) 17 時 32 分 32 秒 (日本時間)
403e61410110Ignacio SantosOctober 3, 2010 08:32:32 UTC 2010 年 10 月 3 日 (日) 17 時 32 分 32 秒 (日本時間)
1000Dmitry DomanovAugust 21, 2012 20:54:40 UTC 2012 年 8 月 22 日 (水) 5 時 54 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:33 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 33 秒 (日本時間)
4511e61532 / 415332Ignacio SantosOctober 3, 2010 08:32:32 UTC 2010 年 10 月 3 日 (日) 17 時 32 分 32 秒 (日本時間)
1200Rich DickersonApril 21, 2014 12:12:31 UTC 2014 年 4 月 21 日 (月) 21 時 12 分 31 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:50 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 50 秒 (日本時間)

10194+7

c169

name 名前Jo Yeong Uk
date 日付November 18, 2018 01:10:20 UTC 2018 年 11 月 18 日 (日) 10 時 10 分 20 秒 (日本時間)
composite number 合成数
1196021928444236450550753786430362575544844621007096187075714114164279482592336776308221565048294022938965690271911864597915619420798934822860053817688946100169380272509<169>
prime factors 素因数
86355376389972593601816739801084188366168567118659335623<56>
13849999599829386247141857950086066627567834280151209440107156582228818160720601657365867194928709671788784854683<113>
factorization results 素因数分解の結果
Number: 10007_194
N=1196021928444236450550753786430362575544844621007096187075714114164279482592336776308221565048294022938965690271911864597915619420798934822860053817688946100169380272509
  ( 169 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=86355376389972593601816739801084188366168567118659335623
 r2=13849999599829386247141857950086066627567834280151209440107156582228818160720601657365867194928709671788784854683
Version: 
Total time: 145.74 hours.
Scaled time: 766.28 units (timescale=5.258).
Factorization parameters were as follows:
n: 1196021928444236450550753786430362575544844621007096187075714114164279482592336776308221565048294022938965690271911864597915619420798934822860053817688946100169380272509
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 70
skew: 2.34
# Murphy_E = 2.918e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 12000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23092876
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2250638 x 2250886
Total sieving time: 133.92 hours.
Total relation processing time: 3.70 hours.
Matrix solve time: 7.98 hours.
Time per square root: 0.14 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: 145.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 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
3025e4430Ignacio SantosOctober 3, 2010 08:32:55 UTC 2010 年 10 月 3 日 (日) 17 時 32 分 55 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 08:33:10 UTC 2010 年 10 月 3 日 (日) 17 時 33 分 10 秒 (日本時間)
403e62710110Ignacio SantosOctober 3, 2010 08:33:10 UTC 2010 年 10 月 3 日 (日) 17 時 33 分 10 秒 (日本時間)
1000Dmitry DomanovAugust 21, 2012 20:54:28 UTC 2012 年 8 月 22 日 (水) 5 時 54 分 28 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:33 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:22 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 22 秒 (日本時間)
4511e632 / 3866Ignacio SantosOctober 3, 2010 08:33:10 UTC 2010 年 10 月 3 日 (日) 17 時 33 分 10 秒 (日本時間)

10196+7

c169

name 名前Jo Yeong Uk
date 日付February 1, 2019 12:23:45 UTC 2019 年 2 月 1 日 (金) 21 時 23 分 45 秒 (日本時間)
composite number 合成数
6932550363000318709754932234972722366676860410997691268742602798936711837758410095374539958904460874936401337968805513417786101973895319318666898645641909469000212615067<169>
prime factors 素因数
87046948629331925859482608375935882753317411094783085878965174240757156685410926971<83>
79641509233377996498595118521199553995199860182640565249815244596304798226313349857377<86>
factorization results 素因数分解の結果
Number: 10007_196
N=6932550363000318709754932234972722366676860410997691268742602798936711837758410095374539958904460874936401337968805513417786101973895319318666898645641909469000212615067
  ( 169 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=87046948629331925859482608375935882753317411094783085878965174240757156685410926971
 r2=79641509233377996498595118521199553995199860182640565249815244596304798226313349857377
Version: 
Total time: 172.06 hours.
Scaled time: 904.17 units (timescale=5.255).
Factorization parameters were as follows:
n: 6932550363000318709754932234972722366676860410997691268742602798936711837758410095374539958904460874936401337968805513417786101973895319318666898645641909469000212615067
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 7
skew: 0.93
# Murphy_E = 2.463e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 13300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34324382
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2721526 x 2721774
Total sieving time: 152.95 hours.
Total relation processing time: 5.91 hours.
Matrix solve time: 12.81 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000
total time: 172.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 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
3025e4430Ignacio SantosOctober 3, 2010 08:33:39 UTC 2010 年 10 月 3 日 (日) 17 時 33 分 39 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 08:33:53 UTC 2010 年 10 月 3 日 (日) 17 時 33 分 53 秒 (日本時間)
403e62710110Ignacio SantosOctober 3, 2010 08:33:53 UTC 2010 年 10 月 3 日 (日) 17 時 33 分 53 秒 (日本時間)
1000Dmitry DomanovAugust 21, 2012 20:54:16 UTC 2012 年 8 月 22 日 (水) 5 時 54 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:33 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:22 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 22 秒 (日本時間)
4511e632 / 3866Ignacio SantosOctober 3, 2010 08:33:53 UTC 2010 年 10 月 3 日 (日) 17 時 33 分 53 秒 (日本時間)

10198+7

c182

name 名前JMB
date 日付November 16, 2006 15:23:11 UTC 2006 年 11 月 17 日 (金) 0 時 23 分 11 秒 (日本時間)
composite number 合成数
14297560599488612860272328879760938605212983375349654148702336121763753563232187393527811912902725640241372045343872270390396165520479712665680702082380792082770647112167600163448601<182>
prime factors 素因数
8981676309068044990065102914772467010071<40>
composite cofactor 合成数の残り
1591858814267617896078250031041439073424924024742250415820682638458770032616911002606947871751429467343698998106474368448419328480312019748431<142>
factorization results 素因数分解の結果
p40: 8981676309068044990065102914772467010071
c142: 1591858814267617896078250031041439073424924024742250415820682638458770032616911002606947871751429467343698998106474368448419328480312019748431

   B1: 1000000
   Sigma: 630057262

c142

name 名前anonymous
date 日付February 5, 2013 07:30:31 UTC 2013 年 2 月 5 日 (火) 16 時 30 分 31 秒 (日本時間)
composite number 合成数
1591858814267617896078250031041439073424924024742250415820682638458770032616911002606947871751429467343698998106474368448419328480312019748431<142>
prime factors 素因数
5897735181786967354733539005628770048383222949309633766704431<61>
269910188436995436718025248557227940984472439959960151522901343856764314395724001<81>
factorization results 素因数分解の結果
P61=5897735181786967354733539005628770048383222949309633766704431
P81=269910188436995436718025248557227940984472439959960151522901343856764314395724001
(from factordb.com, http://www.factordb.com/index.php?id=1000000000022450222)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Ignacio SantosOctober 3, 2010 08:34:10 UTC 2010 年 10 月 3 日 (日) 17 時 34 分 10 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 08:34:27 UTC 2010 年 10 月 3 日 (日) 17 時 34 分 27 秒 (日本時間)
403e62160110Ignacio SantosOctober 3, 2010 08:34:27 UTC 2010 年 10 月 3 日 (日) 17 時 34 分 27 秒 (日本時間)
1000Dmitry DomanovAugust 21, 2012 20:54:03 UTC 2012 年 8 月 22 日 (水) 5 時 54 分 3 秒 (日本時間)
1050Youcef LemsaferFebruary 3, 2013 13:34:16 UTC 2013 年 2 月 3 日 (日) 22 時 34 分 16 秒 (日本時間)
4511e6452632Ignacio SantosOctober 3, 2010 08:34:27 UTC 2010 年 10 月 3 日 (日) 17 時 34 分 27 秒 (日本時間)
4494Youcef LemsaferFebruary 5, 2013 07:24:45 UTC 2013 年 2 月 5 日 (火) 16 時 24 分 45 秒 (日本時間)
5043e62424 / 6454Youcef LemsaferFebruary 5, 2013 07:24:45 UTC 2013 年 2 月 5 日 (火) 16 時 24 分 45 秒 (日本時間)

10199+7

c175

name 名前Justin Card
date 日付June 21, 2010 21:58:55 UTC 2010 年 6 月 22 日 (火) 6 時 58 分 55 秒 (日本時間)
composite number 合成数
8467489923488383748015393693871382571541198973293077386342041917850972455728042600917611098733141289849748242918713858727104799054419363331617152109173653297177123373588445333<175>
prime factors 素因数
5608841823272429120820467701914407536001449<43>
composite cofactor 合成数の残り
1509668161500782294043146477064366917970508617942099078174051063333217119013428730970620898765952919043062096968931277048271829314317<133>
factorization results 素因数分解の結果
[2010-06-21 11:11:56 GMT] 10007_199: probable factor returned by justin@darkenedpath.com (c2)!  Factor=5608841823272429120820467701914407536001449  Method=ECM  B1=1000000  Sigma=2636417384
software ソフトウェア
GMP-ECM 6.2
execution environment 実行環境
Athlon 64x2 2600+, Ubuntu Linux 10.04

c133

name 名前Wataru Sakai
date 日付July 19, 2010 04:16:02 UTC 2010 年 7 月 19 日 (月) 13 時 16 分 2 秒 (日本時間)
composite number 合成数
1509668161500782294043146477064366917970508617942099078174051063333217119013428730970620898765952919043062096968931277048271829314317<133>
prime factors 素因数
934364184631996846294326967848916114178561917<45>
1615717068709532430145896501253765383628874159285960360066928691775683386616729502357201<88>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=136693547
Step 1 took 42504ms
Step 2 took 16985ms
********** Factor found in step 2: 934364184631996846294326967848916114178561917
Found probable prime factor of 45 digits: 934364184631996846294326967848916114178561917
Probable prime cofactor 1615717068709532430145896501253765383628874159285960360066928691775683386616729502357201 has 88 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
3025e4430Ignacio SantosJune 24, 2010 12:58:34 UTC 2010 年 6 月 24 日 (木) 21 時 58 分 34 秒 (日本時間)
351e6300Ignacio SantosJune 24, 2010 12:58:48 UTC 2010 年 6 月 24 日 (木) 21 時 58 分 48 秒 (日本時間)
403e6110Ignacio SantosJune 24, 2010 12:58:48 UTC 2010 年 6 月 24 日 (木) 21 時 58 分 48 秒 (日本時間)
4511e6652 / 444132Ignacio SantosJune 24, 2010 12:58:48 UTC 2010 年 6 月 24 日 (木) 21 時 58 分 48 秒 (日本時間)
620Ignacio SantosJuly 1, 2010 21:54:23 UTC 2010 年 7 月 2 日 (金) 6 時 54 分 23 秒 (日本時間)

10200+7

c155

name 名前Serge Batalov
date 日付October 17, 2010 18:54:44 UTC 2010 年 10 月 18 日 (月) 3 時 54 分 44 秒 (日本時間)
composite number 合成数
85554871304881673906236741879857956986265777745068824160291811708188532050382981365896551704732849176081698646674868720629221847520780705667732642190159149<155>
prime factors 素因数
2309829632384958335206600397482978789162477<43>
10034126404470982163736977259256493408517138292673<50>
3691350006437895308817766464678820345952749210658401279037424769<64>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4285910462
Step 1 took 29454ms
Step 2 took 12282ms
********** Factor found in step 2: 2309829632384958335206600397482978789162477
Found probable prime factor of 43 digits: 2309829632384958335206600397482978789162477
Composite cofactor 37039472567742615317538709375955068618862681505617616061246039011681355676621274011898630261209556061911341417537 has 113 digits

Divisors found:
 r1=10034126404470982163736977259256493408517138292673 (pp50)
 r2=3691350006437895308817766464678820345952749210658401279037424769 (pp64)
Version: Msieve v. 1.46
Total time: 7.71 hours.
Scaled time: 23.14 units (timescale=3.000).
Factorization parameters were as follows:
name: test
type: gnfs
n:  37039472567742615317538709375955068618862681505617616061246039011681355676621274011898630261209556061911341417537
skew:  119268.70
Y0:  -7904903932485379990662
Y1:   546716861171
c0:  -3525599592993137973994038071
c1:   356135628293566669571649
c2:  -1353874133785468448
c3:  -83447359747164
c4:   22616464
c5:   1200
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1750000, 2650001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 414524 x 414749
Total sieving time: 7.16 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,52,52,2.6,2.6,100000
total time: 7.71 hours.
software ソフトウェア
GMP-ECM 6.2.3; msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Ignacio SantosOctober 3, 2010 09:34:44 UTC 2010 年 10 月 3 日 (日) 18 時 34 分 44 秒 (日本時間)
351e6300Ignacio SantosOctober 3, 2010 09:35:02 UTC 2010 年 10 月 3 日 (日) 18 時 35 分 2 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 3, 2010 09:35:02 UTC 2010 年 10 月 3 日 (日) 18 時 35 分 2 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 3, 2010 09:35:02 UTC 2010 年 10 月 3 日 (日) 18 時 35 分 2 秒 (日本時間)

10202+7

c154

name 名前Alfred Reich
date 日付May 5, 2020 07:02:06 UTC 2020 年 5 月 5 日 (火) 16 時 2 分 6 秒 (日本時間)
composite number 合成数
5629959315217569282847505551972326965777164829224200641207254169807845357748444152859568405323204354975313393612974139830595560977511466003952168602368951<154>
prime factors 素因数
29972261440873409193664332792695879684555130626651189642821195072612585619<74>
187838989938208312322356824780123837159477292903436806929101195403922510826894029<81>
factorization results 素因数分解の結果
# Invokation
# gnfs-lasieve4I14e -v -f 8000000 -c 12000000 -o 10w7_202.out -r 10w7_202.poly
# Poly-File
# n: 5629959315217569282847505551972326965777164829224200641207254169807845357748444152859568405323204354975313393612974139830595560977511466003952168602368951
# m: 10000000000000000000000000000000000000000
# deg: 5
# c5: 100
# c0: 7
# skew: 0.59
# rlim: 16300000
# alim: 16300000
# lpbr: 29
# lpba: 29
# mfbr: 56
# mfba: 56
# rlambda: 2.6
# alambda: 2.6
# FB-File
# N 5629959315217569282847505551972326965777164829224200641207254169807845357748444152859568405323204354975313393612974139830595560977511466003952168602368951
# SKEW 0.59
# R0 -10000000000000000000000000000000000000000
# R1 1
# A5 100
# A0 7
# p74 - 1 = 2 * 253 * 59233718262595670343210143859082766175010139578362034867235563384609853
# p74 + 1 = 2^2 * 3 * 5 * 17 * 163733 * 40450609 * 64546484624753 * 3121856201048737 * 22017731310221549223203522543
# p81 - 1 = 2^2 * 3 * 7^2 * 2399 * 201497 * 660860182088883042900702647410165306437631771749096962150589122555927
# p81 + 1 = 2 * 5 * 19 * 101 * 8821 * 80695404651541 * 925646432441664234649038643 * 14855901529200425073642057921919
Sat May 02 12:59:31 2020  
Sat May 02 12:59:31 2020  
Sat May 02 12:59:31 2020  Msieve v. 1.54 (SVN 1018)
Sat May 02 12:59:31 2020  random seeds: 196faba4 28d8db40
Sat May 02 12:59:31 2020  factoring 5629959315217569282847505551972326965777164829224200641207254169807845357748444152859568405323204354975313393612974139830595560977511466003952168602368951 (154 digits)
Sat May 02 12:59:32 2020  searching for 15-digit factors
Sat May 02 12:59:32 2020  commencing number field sieve (154-digit input)
Sat May 02 12:59:32 2020  R0: -10000000000000000000000000000000000000000
Sat May 02 12:59:32 2020  R1: 1
Sat May 02 12:59:32 2020  A0: 7
Sat May 02 12:59:32 2020  A1: 0
Sat May 02 12:59:32 2020  A2: 0
Sat May 02 12:59:32 2020  A3: 0
Sat May 02 12:59:32 2020  A4: 0
Sat May 02 12:59:32 2020  A5: 100
Sat May 02 12:59:32 2020  skew 0.59, size 4.811e-014, alpha 0.718, combined = 1.255e-011 rroots = 1
Sat May 02 12:59:32 2020  
Sat May 02 12:59:32 2020  commencing relation filtering
Sat May 02 12:59:32 2020  setting target matrix density to 120.0
Sat May 02 12:59:32 2020  estimated available RAM is 8051.3 MB
Sat May 02 12:59:32 2020  commencing duplicate removal, pass 1
Sat May 02 13:08:38 2020  found 1544399 hash collisions in 41794149 relations
Sat May 02 13:09:22 2020  commencing duplicate removal, pass 2
Sat May 02 13:09:58 2020  found 0 duplicates and 41794149 unique relations
Sat May 02 13:09:58 2020  memory use: 126.6 MB
Sat May 02 13:09:58 2020  reading ideals above 720000
Sat May 02 13:09:58 2020  commencing singleton removal, initial pass
Sat May 02 13:15:54 2020  memory use: 1378.0 MB
Sat May 02 13:15:54 2020  reading all ideals from disk
Sat May 02 13:15:55 2020  memory use: 1429.6 MB
Sat May 02 13:16:01 2020  keeping 40876276 ideals with weight <= 200, target excess is 226007
Sat May 02 13:16:05 2020  commencing in-memory singleton removal
Sat May 02 13:16:10 2020  begin with 41794149 relations and 40876276 unique ideals
Sat May 02 13:16:40 2020  reduce to 22117142 relations and 18738841 ideals in 15 passes
Sat May 02 13:16:40 2020  max relations containing the same ideal: 137
Sat May 02 13:16:52 2020  removing 2442029 relations and 2042029 ideals in 400000 cliques
Sat May 02 13:16:52 2020  commencing in-memory singleton removal
Sat May 02 13:16:55 2020  begin with 19675113 relations and 18738841 unique ideals
Sat May 02 13:17:10 2020  reduce to 19452738 relations and 16469152 ideals in 9 passes
Sat May 02 13:17:10 2020  max relations containing the same ideal: 125
Sat May 02 13:17:21 2020  removing 1863509 relations and 1463509 ideals in 400000 cliques
Sat May 02 13:17:21 2020  commencing in-memory singleton removal
Sat May 02 13:17:23 2020  begin with 17589229 relations and 16469152 unique ideals
Sat May 02 13:17:34 2020  reduce to 17447047 relations and 14860595 ideals in 7 passes
Sat May 02 13:17:34 2020  max relations containing the same ideal: 120
Sat May 02 13:17:43 2020  removing 1683357 relations and 1283357 ideals in 400000 cliques
Sat May 02 13:17:44 2020  commencing in-memory singleton removal
Sat May 02 13:17:46 2020  begin with 15763690 relations and 14860595 unique ideals
Sat May 02 13:17:57 2020  reduce to 15636392 relations and 13447237 ideals in 7 passes
Sat May 02 13:17:57 2020  max relations containing the same ideal: 105
Sat May 02 13:18:05 2020  removing 1599008 relations and 1199008 ideals in 400000 cliques
Sat May 02 13:18:06 2020  commencing in-memory singleton removal
Sat May 02 13:18:07 2020  begin with 14037384 relations and 13447237 unique ideals
Sat May 02 13:18:17 2020  reduce to 13911667 relations and 12119667 ideals in 8 passes
Sat May 02 13:18:17 2020  max relations containing the same ideal: 97
Sat May 02 13:18:25 2020  removing 1549368 relations and 1149368 ideals in 400000 cliques
Sat May 02 13:18:25 2020  commencing in-memory singleton removal
Sat May 02 13:18:27 2020  begin with 12362299 relations and 12119667 unique ideals
Sat May 02 13:18:33 2020  reduce to 12231790 relations and 10836588 ideals in 7 passes
Sat May 02 13:18:33 2020  max relations containing the same ideal: 92
Sat May 02 13:18:39 2020  removing 1521297 relations and 1121297 ideals in 400000 cliques
Sat May 02 13:18:40 2020  commencing in-memory singleton removal
Sat May 02 13:18:41 2020  begin with 10710493 relations and 10836588 unique ideals
Sat May 02 13:18:47 2020  reduce to 10569524 relations and 9570353 ideals in 8 passes
Sat May 02 13:18:47 2020  max relations containing the same ideal: 86
Sat May 02 13:18:52 2020  removing 1509078 relations and 1109078 ideals in 400000 cliques
Sat May 02 13:18:53 2020  commencing in-memory singleton removal
Sat May 02 13:18:54 2020  begin with 9060446 relations and 9570353 unique ideals
Sat May 02 13:18:59 2020  reduce to 8901377 relations and 8297080 ideals in 9 passes
Sat May 02 13:18:59 2020  max relations containing the same ideal: 73
Sat May 02 13:19:04 2020  removing 1332577 relations and 990449 ideals in 342128 cliques
Sat May 02 13:19:04 2020  commencing in-memory singleton removal
Sat May 02 13:19:05 2020  begin with 7568800 relations and 8297080 unique ideals
Sat May 02 13:19:09 2020  reduce to 7424848 relations and 7157990 ideals in 9 passes
Sat May 02 13:19:09 2020  max relations containing the same ideal: 66
Sat May 02 13:19:13 2020  relations with 0 large ideals: 4943
Sat May 02 13:19:13 2020  relations with 1 large ideals: 2783
Sat May 02 13:19:13 2020  relations with 2 large ideals: 40697
Sat May 02 13:19:13 2020  relations with 3 large ideals: 265684
Sat May 02 13:19:13 2020  relations with 4 large ideals: 906148
Sat May 02 13:19:13 2020  relations with 5 large ideals: 1769920
Sat May 02 13:19:13 2020  relations with 6 large ideals: 2136130
Sat May 02 13:19:13 2020  relations with 7+ large ideals: 2298543
Sat May 02 13:19:13 2020  commencing 2-way merge
Sat May 02 13:19:18 2020  reduce to 4538202 relation sets and 4271344 unique ideals
Sat May 02 13:19:18 2020  commencing full merge
Sat May 02 13:21:01 2020  memory use: 583.4 MB
Sat May 02 13:21:02 2020  found 1996211 cycles, need 1987544
Sat May 02 13:21:02 2020  weight of 1987544 cycles is about 239299412 (120.40/cycle)
Sat May 02 13:21:02 2020  distribution of cycle lengths:
Sat May 02 13:21:02 2020  1 relations: 96133
Sat May 02 13:21:02 2020  2 relations: 120189
Sat May 02 13:21:02 2020  3 relations: 130800
Sat May 02 13:21:02 2020  4 relations: 133358
Sat May 02 13:21:02 2020  5 relations: 135260
Sat May 02 13:21:02 2020  6 relations: 133790
Sat May 02 13:21:02 2020  7 relations: 130250
Sat May 02 13:21:02 2020  8 relations: 126910
Sat May 02 13:21:02 2020  9 relations: 120837
Sat May 02 13:21:02 2020  10+ relations: 860017
Sat May 02 13:21:02 2020  heaviest cycle: 28 relations
Sat May 02 13:21:02 2020  commencing cycle optimization
Sat May 02 13:21:06 2020  start with 18611824 relations
Sat May 02 13:21:47 2020  pruned 869136 relations
Sat May 02 13:21:47 2020  memory use: 492.3 MB
Sat May 02 13:21:47 2020  distribution of cycle lengths:
Sat May 02 13:21:47 2020  1 relations: 96133
Sat May 02 13:21:47 2020  2 relations: 123027
Sat May 02 13:21:47 2020  3 relations: 136288
Sat May 02 13:21:47 2020  4 relations: 138766
Sat May 02 13:21:47 2020  5 relations: 141772
Sat May 02 13:21:47 2020  6 relations: 140182
Sat May 02 13:21:47 2020  7 relations: 137250
Sat May 02 13:21:47 2020  8 relations: 133432
Sat May 02 13:21:47 2020  9 relations: 127076
Sat May 02 13:21:47 2020  10+ relations: 813618
Sat May 02 13:21:47 2020  heaviest cycle: 28 relations
Sat May 02 13:21:49 2020  RelProcTime: 1337
Sat May 02 13:21:49 2020  
Sat May 02 13:21:49 2020  commencing linear algebra
Sat May 02 13:21:50 2020  read 1987544 cycles
Sat May 02 13:21:54 2020  cycles contain 7224322 unique relations
Sat May 02 13:22:34 2020  read 7224322 relations
Sat May 02 13:22:46 2020  using 20 quadratic characters above 4294917295
Sat May 02 13:23:18 2020  building initial matrix
Sat May 02 13:24:30 2020  memory use: 905.6 MB
Sat May 02 13:24:35 2020  read 1987544 cycles
Sat May 02 13:24:36 2020  matrix is 1987367 x 1987544 (928.1 MB) with weight 268650895 (135.17/col)
Sat May 02 13:24:36 2020  sparse part has weight 221430699 (111.41/col)
Sat May 02 13:24:54 2020  filtering completed in 2 passes
Sat May 02 13:24:55 2020  matrix is 1987316 x 1987493 (928.1 MB) with weight 268648806 (135.17/col)
Sat May 02 13:24:55 2020  sparse part has weight 221429916 (111.41/col)
Sat May 02 13:25:02 2020  matrix starts at (0, 0)
Sat May 02 13:25:03 2020  matrix is 1987316 x 1987493 (928.1 MB) with weight 268648806 (135.17/col)
Sat May 02 13:25:03 2020  sparse part has weight 221429916 (111.41/col)
Sat May 02 13:25:03 2020  saving the first 48 matrix rows for later
Sat May 02 13:25:03 2020  matrix includes 64 packed rows
Sat May 02 13:25:03 2020  matrix is 1987268 x 1987493 (886.2 MB) with weight 230362117 (115.91/col)
Sat May 02 13:25:04 2020  sparse part has weight 212424626 (106.88/col)
Sat May 02 13:25:04 2020  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Sat May 02 13:25:13 2020  commencing Lanczos iteration (4 threads)
Sat May 02 13:25:13 2020  memory use: 735.9 MB
Sat May 02 13:25:21 2020  linear algebra at 0.1%, ETA 2h54m
Sat May 02 13:25:23 2020  checkpointing every 730000 dimensions
Sat May 02 15:22:18 2020  lanczos halted after 31427 iterations (dim = 1987267)
Sat May 02 15:22:20 2020  recovered 40 nontrivial dependencies
Sat May 02 15:22:20 2020  BLanczosTime: 7231
Sat May 02 15:22:20 2020  
Sat May 02 15:22:20 2020  commencing square root phase
Sat May 02 15:22:20 2020  handling dependencies 1 to 64
Sat May 02 15:22:20 2020  reading relations for dependency 1
Sat May 02 15:22:20 2020  read 995024 cycles
Sat May 02 15:22:22 2020  cycles contain 3615826 unique relations
Sat May 02 15:22:45 2020  read 3615826 relations
Sat May 02 15:22:58 2020  multiplying 3615826 relations
Sat May 02 15:24:17 2020  multiply complete, coefficients have about 108.57 million bits
Sat May 02 15:24:18 2020  initial square root is modulo 62072771
Sat May 02 15:25:50 2020  sqrtTime: 210
Sat May 02 15:25:50 2020  p74 factor: 29972261440873409193664332792695879684555130626651189642821195072612585619
Sat May 02 15:25:50 2020  p81 factor: 187838989938208312322356824780123837159477292903436806929101195403922510826894029
Sat May 02 15:25:50 2020  elapsed time 02:26:19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovAugust 21, 2012 20:53:53 UTC 2012 年 8 月 22 日 (水) 5 時 53 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:34 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:22 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 22 秒 (日本時間)

10206+7

c156

name 名前Alfred Reich
date 日付May 8, 2020 17:57:14 UTC 2020 年 5 月 9 日 (土) 2 時 57 分 14 秒 (日本時間)
composite number 合成数
606046457041058640781079026946324505813205051852927563788825033697178448561484283321656746739639878149385996999890598499907394673464075073790533739074512483<156>
prime factors 素因数
110126947668093742454773379481577768083531776585062969486637020453866017761531<78>
5503162213008868779012743608913157057792214994414269810494717421869152009227193<79>
factorization results 素因数分解の結果
# siever: gnfs-lasieve4I14e = g
# sieving-range: 8M-24.325M
## g -v -f 8000000 -c 24325000 -o out -r poly
# poly - file:
## n: 606046457041058640781079026946324505813205051852927563788825033697178448561484283321656746739639878149385996999890598499907394673464075073790533739074512483
## m: 100000000000000000000000000000000000000000
## deg: 5
## c5: 10
## c0: 7
## skew: 0.93
## Murphy_E = 9.391e-12
## type: snfs
## lss: 1
## rlim: 19000000
## alim: 19000000
## lpbr: 29
## lpba: 29
## mfbr: 56
## mfba: 56
## rlambda: 2.6
## alambda: 2.6
# fb - file:
## N 606046457041058640781079026946324505813205051852927563788825033697178448561484283321656746739639878149385996999890598499907394673464075073790533739074512483
## SKEW 0.93
## R0 -100000000000000000000000000000000000000000
## R1 1
## A5 10
## A0 7
# ini - file:
## 606046457041058640781079026946324505813205051852927563788825033697178448561484283321656746739639878149385996999890598499907394673464075073790533739074512483
## msieve -i ini -s out -l log -nf fb -nc -t 4
Tue Aug 06 20:57:16 2019  
Tue Aug 06 20:57:16 2019  
Tue Aug 06 20:57:16 2019  Msieve v. 1.54 (SVN 1018)
Tue Aug 06 20:57:16 2019  random seeds: bb6c8b80 d13f3568
Tue Aug 06 20:57:16 2019  factoring 606046457041058640781079026946324505813205051852927563788825033697178448561484283321656746739639878149385996999890598499907394673464075073790533739074512483 (156 digits)
Tue Aug 06 20:57:17 2019  searching for 15-digit factors
Tue Aug 06 20:57:17 2019  commencing number field sieve (156-digit input)
Tue Aug 06 20:57:17 2019  R0: -100000000000000000000000000000000000000000
Tue Aug 06 20:57:17 2019  R1: 1
Tue Aug 06 20:57:17 2019  A0: 7
Tue Aug 06 20:57:17 2019  A1: 0
Tue Aug 06 20:57:17 2019  A2: 0
Tue Aug 06 20:57:17 2019  A3: 0
Tue Aug 06 20:57:17 2019  A4: 0
Tue Aug 06 20:57:17 2019  A5: 10
Tue Aug 06 20:57:17 2019  skew 0.93, size 2.530e-014, alpha 1.724, combined = 8.325e-012 rroots = 1
Tue Aug 06 20:57:17 2019  
Tue Aug 06 20:57:17 2019  commencing relation filtering
Tue Aug 06 20:57:17 2019  setting target matrix density to 100.0
Tue Aug 06 20:57:17 2019  estimated available RAM is 8051.3 MB
Tue Aug 06 20:57:17 2019  commencing duplicate removal, pass 1
Tue Aug 06 21:02:51 2019  found 6895623 hash collisions in 46897249 relations
Tue Aug 06 21:03:16 2019  added 730787 free relations
Tue Aug 06 21:03:16 2019  commencing duplicate removal, pass 2
Tue Aug 06 21:03:42 2019  found 6174802 duplicates and 41453234 unique relations
Tue Aug 06 21:03:42 2019  memory use: 213.2 MB
Tue Aug 06 21:03:42 2019  reading ideals above 24313856
Tue Aug 06 21:03:42 2019  commencing singleton removal, initial pass
Tue Aug 06 21:07:30 2019  memory use: 753.0 MB
Tue Aug 06 21:07:30 2019  reading all ideals from disk
Tue Aug 06 21:07:31 2019  memory use: 734.4 MB
Tue Aug 06 21:07:32 2019  commencing in-memory singleton removal
Tue Aug 06 21:07:34 2019  begin with 41453234 relations and 38282662 unique ideals
Tue Aug 06 21:07:46 2019  reduce to 21774288 relations and 16153573 ideals in 16 passes
Tue Aug 06 21:07:46 2019  max relations containing the same ideal: 44
Tue Aug 06 21:07:48 2019  reading ideals above 720000
Tue Aug 06 21:07:48 2019  commencing singleton removal, initial pass
Tue Aug 06 21:10:16 2019  memory use: 376.5 MB
Tue Aug 06 21:10:16 2019  reading all ideals from disk
Tue Aug 06 21:10:17 2019  memory use: 754.4 MB
Tue Aug 06 21:10:18 2019  keeping 19079968 ideals with weight <= 200, target excess is 123083
Tue Aug 06 21:10:20 2019  commencing in-memory singleton removal
Tue Aug 06 21:10:21 2019  begin with 21774308 relations and 19079968 unique ideals
Tue Aug 06 21:10:36 2019  reduce to 21771421 relations and 19077001 ideals in 10 passes
Tue Aug 06 21:10:36 2019  max relations containing the same ideal: 200
Tue Aug 06 21:10:44 2019  removing 2517313 relations and 2117313 ideals in 400000 cliques
Tue Aug 06 21:10:45 2019  commencing in-memory singleton removal
Tue Aug 06 21:10:46 2019  begin with 19254108 relations and 19077001 unique ideals
Tue Aug 06 21:10:58 2019  reduce to 19015117 relations and 16715068 ideals in 9 passes
Tue Aug 06 21:10:58 2019  max relations containing the same ideal: 193
Tue Aug 06 21:11:05 2019  removing 1923044 relations and 1523044 ideals in 400000 cliques
Tue Aug 06 21:11:06 2019  commencing in-memory singleton removal
Tue Aug 06 21:11:07 2019  begin with 17092073 relations and 16715068 unique ideals
Tue Aug 06 21:11:17 2019  reduce to 16938461 relations and 15035240 ideals in 9 passes
Tue Aug 06 21:11:17 2019  max relations containing the same ideal: 177
Tue Aug 06 21:11:24 2019  removing 1744634 relations and 1344634 ideals in 400000 cliques
Tue Aug 06 21:11:25 2019  commencing in-memory singleton removal
Tue Aug 06 21:11:26 2019  begin with 15193827 relations and 15035240 unique ideals
Tue Aug 06 21:11:33 2019  reduce to 15054012 relations and 13547791 ideals in 7 passes
Tue Aug 06 21:11:33 2019  max relations containing the same ideal: 163
Tue Aug 06 21:11:39 2019  removing 1657500 relations and 1257500 ideals in 400000 cliques
Tue Aug 06 21:11:39 2019  commencing in-memory singleton removal
Tue Aug 06 21:11:40 2019  begin with 13396512 relations and 13547791 unique ideals
Tue Aug 06 21:11:47 2019  reduce to 13256493 relations and 12146933 ideals in 8 passes
Tue Aug 06 21:11:47 2019  max relations containing the same ideal: 150
Tue Aug 06 21:11:52 2019  removing 1611212 relations and 1211212 ideals in 400000 cliques
Tue Aug 06 21:11:53 2019  commencing in-memory singleton removal
Tue Aug 06 21:11:54 2019  begin with 11645281 relations and 12146933 unique ideals
Tue Aug 06 21:11:59 2019  reduce to 11497196 relations and 10783854 ideals in 7 passes
Tue Aug 06 21:11:59 2019  max relations containing the same ideal: 140
Tue Aug 06 21:12:03 2019  removing 1585200 relations and 1185200 ideals in 400000 cliques
Tue Aug 06 21:12:04 2019  commencing in-memory singleton removal
Tue Aug 06 21:12:04 2019  begin with 9911996 relations and 10783854 unique ideals
Tue Aug 06 21:12:10 2019  reduce to 9747849 relations and 9429736 ideals in 8 passes
Tue Aug 06 21:12:10 2019  max relations containing the same ideal: 124
Tue Aug 06 21:12:13 2019  removing 828496 relations and 653160 ideals in 175336 cliques
Tue Aug 06 21:12:14 2019  commencing in-memory singleton removal
Tue Aug 06 21:12:14 2019  begin with 8919353 relations and 9429736 unique ideals
Tue Aug 06 21:12:18 2019  reduce to 8871668 relations and 8728158 ideals in 7 passes
Tue Aug 06 21:12:18 2019  max relations containing the same ideal: 112
Tue Aug 06 21:12:23 2019  relations with 0 large ideals: 2831
Tue Aug 06 21:12:23 2019  relations with 1 large ideals: 278
Tue Aug 06 21:12:23 2019  relations with 2 large ideals: 6970
Tue Aug 06 21:12:23 2019  relations with 3 large ideals: 67147
Tue Aug 06 21:12:23 2019  relations with 4 large ideals: 352591
Tue Aug 06 21:12:23 2019  relations with 5 large ideals: 1089952
Tue Aug 06 21:12:23 2019  relations with 6 large ideals: 2153180
Tue Aug 06 21:12:23 2019  relations with 7+ large ideals: 5198719
Tue Aug 06 21:12:23 2019  commencing 2-way merge
Tue Aug 06 21:12:28 2019  reduce to 5503189 relation sets and 5359679 unique ideals
Tue Aug 06 21:12:28 2019  commencing full merge
Tue Aug 06 21:14:08 2019  memory use: 733.6 MB
Tue Aug 06 21:14:09 2019  found 2598810 cycles, need 2585879
Tue Aug 06 21:14:09 2019  weight of 2585879 cycles is about 258639495 (100.02/cycle)
Tue Aug 06 21:14:09 2019  distribution of cycle lengths:
Tue Aug 06 21:14:09 2019  1 relations: 185440
Tue Aug 06 21:14:09 2019  2 relations: 202896
Tue Aug 06 21:14:09 2019  3 relations: 214385
Tue Aug 06 21:14:09 2019  4 relations: 211093
Tue Aug 06 21:14:09 2019  5 relations: 207222
Tue Aug 06 21:14:09 2019  6 relations: 200727
Tue Aug 06 21:14:09 2019  7 relations: 189220
Tue Aug 06 21:14:09 2019  8 relations: 177315
Tue Aug 06 21:14:09 2019  9 relations: 161891
Tue Aug 06 21:14:09 2019  10+ relations: 835690
Tue Aug 06 21:14:09 2019  heaviest cycle: 28 relations
Tue Aug 06 21:14:10 2019  commencing cycle optimization
Tue Aug 06 21:14:13 2019  start with 19976024 relations
Tue Aug 06 21:14:47 2019  pruned 756057 relations
Tue Aug 06 21:14:47 2019  memory use: 571.3 MB
Tue Aug 06 21:14:47 2019  distribution of cycle lengths:
Tue Aug 06 21:14:47 2019  1 relations: 185440
Tue Aug 06 21:14:47 2019  2 relations: 207518
Tue Aug 06 21:14:47 2019  3 relations: 222555
Tue Aug 06 21:14:47 2019  4 relations: 218380
Tue Aug 06 21:14:47 2019  5 relations: 215553
Tue Aug 06 21:14:47 2019  6 relations: 208146
Tue Aug 06 21:14:47 2019  7 relations: 196749
Tue Aug 06 21:14:47 2019  8 relations: 183410
Tue Aug 06 21:14:47 2019  9 relations: 167162
Tue Aug 06 21:14:47 2019  10+ relations: 780966
Tue Aug 06 21:14:47 2019  heaviest cycle: 28 relations
Tue Aug 06 21:14:50 2019  RelProcTime: 1053
Tue Aug 06 21:14:50 2019  
Tue Aug 06 21:14:50 2019  commencing linear algebra
Tue Aug 06 21:14:50 2019  read 2585879 cycles
Tue Aug 06 21:14:54 2019  cycles contain 8775502 unique relations
Tue Aug 06 21:15:43 2019  read 8775502 relations
Tue Aug 06 21:15:55 2019  using 20 quadratic characters above 4294917295
Tue Aug 06 21:16:33 2019  building initial matrix
Tue Aug 06 21:17:51 2019  memory use: 1137.7 MB
Tue Aug 06 21:18:09 2019  read 2585879 cycles
Tue Aug 06 21:18:09 2019  matrix is 2585702 x 2585879 (1036.7 MB) with weight 300755350 (116.31/col)
Tue Aug 06 21:18:09 2019  sparse part has weight 243319648 (94.10/col)
Tue Aug 06 21:18:29 2019  filtering completed in 2 passes
Tue Aug 06 21:18:29 2019  matrix is 2585598 x 2585775 (1036.7 MB) with weight 300751649 (116.31/col)
Tue Aug 06 21:18:29 2019  sparse part has weight 243318249 (94.10/col)
Tue Aug 06 21:18:38 2019  matrix starts at (0, 0)
Tue Aug 06 21:18:38 2019  matrix is 2585598 x 2585775 (1036.7 MB) with weight 300751649 (116.31/col)
Tue Aug 06 21:18:38 2019  sparse part has weight 243318249 (94.10/col)
Tue Aug 06 21:18:38 2019  saving the first 48 matrix rows for later
Tue Aug 06 21:18:39 2019  matrix includes 64 packed rows
Tue Aug 06 21:18:39 2019  matrix is 2585550 x 2585775 (984.8 MB) with weight 250742257 (96.97/col)
Tue Aug 06 21:18:39 2019  sparse part has weight 232302237 (89.84/col)
Tue Aug 06 21:18:40 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Tue Aug 06 21:18:50 2019  commencing Lanczos iteration (4 threads)
Tue Aug 06 21:18:50 2019  memory use: 816.1 MB
Tue Aug 06 21:18:58 2019  linear algebra at 0.1%, ETA 3h46m
Tue Aug 06 21:19:00 2019  checkpointing every 730000 dimensions
Wed Aug 07 08:24:17 2019  lanczos halted after 40889 iterations (dim = 2585549)
Wed Aug 07 08:24:20 2019  recovered 38 nontrivial dependencies
Wed Aug 07 08:24:22 2019  BLanczosTime: 40172
Wed Aug 07 08:24:22 2019  
Wed Aug 07 08:24:22 2019  commencing square root phase
Wed Aug 07 08:24:22 2019  handling dependencies 1 to 64
Wed Aug 07 08:24:22 2019  reading relations for dependency 1
Wed Aug 07 08:24:22 2019  read 1293758 cycles
Wed Aug 07 08:24:24 2019  cycles contain 4390988 unique relations
Wed Aug 07 08:24:58 2019  read 4390988 relations
Wed Aug 07 08:25:15 2019  multiplying 4390988 relations
Wed Aug 07 08:26:43 2019  multiply complete, coefficients have about 119.27 million bits
Wed Aug 07 08:26:43 2019  initial square root is modulo 364011821
Wed Aug 07 08:28:28 2019  Newton iteration failed to converge
Wed Aug 07 08:28:28 2019  algebraic square root failed
Wed Aug 07 08:28:28 2019  reading relations for dependency 2
Wed Aug 07 08:28:29 2019  read 1292880 cycles
Wed Aug 07 08:28:30 2019  cycles contain 4388078 unique relations
Wed Aug 07 08:29:02 2019  read 4388078 relations
Wed Aug 07 08:29:18 2019  multiplying 4388078 relations
Wed Aug 07 08:30:46 2019  multiply complete, coefficients have about 119.19 million bits
Wed Aug 07 08:30:46 2019  initial square root is modulo 359302081
Wed Aug 07 08:32:32 2019  sqrtTime: 490
Wed Aug 07 08:32:32 2019  p78 factor: 110126947668093742454773379481577768083531776585062969486637020453866017761531
Wed Aug 07 08:32:32 2019  p79 factor: 5503162213008868779012743608913157057792214994414269810494717421869152009227193
Wed Aug 07 08:32:32 2019  elapsed time 11:35:16

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovAugust 21, 2012 20:53:41 UTC 2012 年 8 月 22 日 (水) 5 時 53 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:34 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:23 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 23 秒 (日本時間)

10209+7

c188

name 名前Serge Batalov
date 日付May 27, 2014 06:11:30 UTC 2014 年 5 月 27 日 (火) 15 時 11 分 30 秒 (日本時間)
composite number 合成数
10274969314799061010889416767763670602893919201796115276518871921855618815537556861323510853069397461233105223715006271379453337518578338328139136336541553198249515710785167582843340017869<188>
prime factors 素因数
7456882173840152191377136361021010932740801<43>
composite cofactor 合成数の残り
1377917616942530775519870612790661940681748754153517281382061988656259189062226747444830495030610688806844121072129050585231212861366897998822669<145>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1485612391
Step 1 took 50805ms
Step 2 took 25211ms
********** Factor found in step 2: 7456882173840152191377136361021010932740801
Found probable prime factor of 43 digits: 7456882173840152191377136361021010932740801
Composite cofactor 

c145

name 名前Erik Branger
date 日付October 6, 2016 08:10:38 UTC 2016 年 10 月 6 日 (木) 17 時 10 分 38 秒 (日本時間)
composite number 合成数
1377917616942530775519870612790661940681748754153517281382061988656259189062226747444830495030610688806844121072129050585231212861366897998822669<145>
prime factors 素因数
30070570156808906987653480926496114448629<41>
2318392573254822330363257973518206792072186135649<49>
19764899624371309198299681990468439729630758580131168089<56>
factorization results 素因数分解の結果
Number: 10007_209
N = 1377917616942530775519870612790661940681748754153517281382061988656259189062226747444830495030610688806844121072129050585231212861366897998822669 (145 digits)
Divisors found:
r1=30070570156808906987653480926496114448629 (pp41)
r2=2318392573254822330363257973518206792072186135649 (pp49)
r3=19764899624371309198299681990468439729630758580131168089 (pp56)
Version: Msieve v. 1.52 (SVN 883 pre-release)
Total time: 325.50 hours.
Factorization parameters were as follows:
# Murphy_E = 3.21e-10, selected by Maksym Voznyy
# polynomial selection by CADO-NFS 2.1.1
n: 1377917616942530775519870612790661940681748754153517281382061988656259189062226747444830495030610688806844121072129050585231212861366897998822669
Y0: -12227744397862460563300585966
Y1: 1623362234903239853
c0: 19780792550511660989194243186295325
c1: 68969791357871289529524062746
c2: 26152204414761393587462
c3: -68000634975827126
c4: 5337832001
c5: 5040
skew: 1483264
type: gnfs
# selected mechanically
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 39350235
Relations: 4519534 relations
Pruned matrix : 2818110 x 2818339
Polynomial selection time: 0.00 hours.
Total sieving time: 318.16 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 6.43 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: gnfs,144,5,65,2000,1e-05,0.28,250,20,50000,3600,24000000,24000000,29,29,56,56,2.6,2.6,100000
total time: 325.50 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.69GHz
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 KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:53:12 UTC 2012 年 8 月 22 日 (水) 5 時 53 分 12 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:53:12 UTC 2012 年 8 月 22 日 (水) 5 時 53 分 12 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:50 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 50 秒 (日本時間)

10210+7

c206

name 名前Dmitry Domanov
date 日付August 18, 2012 11:27:27 UTC 2012 年 8 月 18 日 (土) 20 時 27 分 27 秒 (日本時間)
composite number 合成数
41916418661189587961604560506350337427170222576183090916712076120216288720291738273881879532212767741124198348493104749130234312780316049796705369493230498386217881544200863478224420505512009053946430816951<206>
prime factors 素因数
1598527160097730545488924204773371978329<40>
composite cofactor 合成数の残り
26221899575748783281424409289016801948345631107038299515733348260827329786457001053283432730167475583904103992921232905373848380516875078578749666416155002537972370319<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3058236195
Step 1 took 37056ms
Step 2 took 13019ms
********** Factor found in step 2: 1598527160097730545488924204773371978329
Found probable prime factor of 40 digits: 1598527160097730545488924204773371978329

c167

name 名前Alfred Reich
date 日付May 12, 2020 08:13:34 UTC 2020 年 5 月 12 日 (火) 17 時 13 分 34 秒 (日本時間)
composite number 合成数
26221899575748783281424409289016801948345631107038299515733348260827329786457001053283432730167475583904103992921232905373848380516875078578749666416155002537972370319<167>
prime factors 素因数
757721759972806418539482954001621204717134713898803<51>
34606238016300140085673016666607587766661718473229253636384411419754374231842158769200535073377192132473139660945973<116>
factorization results 素因数分解の結果
# siever: gnfs-lasieve4I14e = g
# g -v -f 10000000 -c 15000000 -o out -r poly
# msieve -i ini -s out -l log -nf fb -t 32 -nc 
# poly:
# n: 26221899575748783281424409289016801948345631107038299515733348260827329786457001053283432730167475583904103992921232905373848380516875078578749666416155002537972370319
# m: 1000000000000000000000000000000000000000000
# deg: 5
# c5: 1
# c0: 7
# skew: 1.48
# rlim: 22000000
# alim: 22000000
# lpbr: 29
# lpba: 29
# mfbr: 57
# mfba: 57
# rlambda: 2.6
# alambda: 2.6
# fb:
# N 26221899575748783281424409289016801948345631107038299515733348260827329786457001053283432730167475583904103992921232905373848380516875078578749666416155002537972370319
# SKEW 1.48
# R0 -1000000000000000000000000000000000000000000
# R1 1
# A5 1
# A0 7
# ini:
# 26221899575748783281424409289016801948345631107038299515733348260827329786457001053283432730167475583904103992921232905373848380516875078578749666416155002537972370319
Fri Aug 09 00:09:42 2019  
Fri Aug 09 00:09:42 2019  
Fri Aug 09 00:09:42 2019  Msieve v. 1.54 (SVN 1018)
Fri Aug 09 00:09:42 2019  random seeds: d7a918c0 3dc8950a
Fri Aug 09 00:09:42 2019  factoring 26221899575748783281424409289016801948345631107038299515733348260827329786457001053283432730167475583904103992921232905373848380516875078578749666416155002537972370319 (167 digits)
Fri Aug 09 00:09:43 2019  searching for 15-digit factors
Fri Aug 09 00:09:43 2019  commencing number field sieve (167-digit input)
Fri Aug 09 00:09:43 2019  R0: -1000000000000000000000000000000000000000000
Fri Aug 09 00:09:43 2019  R1: 1
Fri Aug 09 00:09:43 2019  A0: 7
Fri Aug 09 00:09:43 2019  A1: 0
Fri Aug 09 00:09:43 2019  A2: 0
Fri Aug 09 00:09:43 2019  A3: 0
Fri Aug 09 00:09:43 2019  A4: 0
Fri Aug 09 00:09:43 2019  A5: 1
Fri Aug 09 00:09:43 2019  skew 1.48, size 2.386e-014, alpha 0.979, combined = 7.611e-012 rroots = 1
Fri Aug 09 00:09:43 2019  
Fri Aug 09 00:09:43 2019  commencing relation filtering
Fri Aug 09 00:09:43 2019  estimated available RAM is 8051.3 MB
Fri Aug 09 00:09:43 2019  commencing duplicate removal, pass 1
Fri Aug 09 00:14:35 2019  found 3447800 hash collisions in 40878149 relations
Fri Aug 09 00:14:55 2019  added 70 free relations
Fri Aug 09 00:14:55 2019  commencing duplicate removal, pass 2
Fri Aug 09 00:15:11 2019  found 2291199 duplicates and 38587020 unique relations
Fri Aug 09 00:15:11 2019  memory use: 138.6 MB
Fri Aug 09 00:15:11 2019  reading ideals above 720000
Fri Aug 09 00:15:11 2019  commencing singleton removal, initial pass
Fri Aug 09 00:19:20 2019  memory use: 1378.0 MB
Fri Aug 09 00:19:20 2019  reading all ideals from disk
Fri Aug 09 00:19:20 2019  memory use: 1349.0 MB
Fri Aug 09 00:19:24 2019  keeping 41790196 ideals with weight <= 200, target excess is 204067
Fri Aug 09 00:19:27 2019  commencing in-memory singleton removal
Fri Aug 09 00:19:30 2019  begin with 38587020 relations and 41790196 unique ideals
Fri Aug 09 00:19:57 2019  reduce to 15812322 relations and 15465777 ideals in 21 passes
Fri Aug 09 00:19:57 2019  max relations containing the same ideal: 113
Fri Aug 09 00:20:03 2019  removing 862045 relations and 807132 ideals in 54914 cliques
Fri Aug 09 00:20:04 2019  commencing in-memory singleton removal
Fri Aug 09 00:20:05 2019  begin with 14950277 relations and 15465777 unique ideals
Fri Aug 09 00:20:16 2019  reduce to 14906036 relations and 14614129 ideals in 11 passes
Fri Aug 09 00:20:16 2019  max relations containing the same ideal: 108
Fri Aug 09 00:20:22 2019  removing 614854 relations and 559940 ideals in 54914 cliques
Fri Aug 09 00:20:22 2019  commencing in-memory singleton removal
Fri Aug 09 00:20:23 2019  begin with 14291182 relations and 14614129 unique ideals
Fri Aug 09 00:20:31 2019  reduce to 14266713 relations and 14029611 ideals in 8 passes
Fri Aug 09 00:20:31 2019  max relations containing the same ideal: 106
Fri Aug 09 00:20:38 2019  relations with 0 large ideals: 4170
Fri Aug 09 00:20:38 2019  relations with 1 large ideals: 1414
Fri Aug 09 00:20:38 2019  relations with 2 large ideals: 22601
Fri Aug 09 00:20:38 2019  relations with 3 large ideals: 192119
Fri Aug 09 00:20:38 2019  relations with 4 large ideals: 884325
Fri Aug 09 00:20:38 2019  relations with 5 large ideals: 2376292
Fri Aug 09 00:20:38 2019  relations with 6 large ideals: 4001977
Fri Aug 09 00:20:38 2019  relations with 7+ large ideals: 6783815
Fri Aug 09 00:20:38 2019  commencing 2-way merge
Fri Aug 09 00:20:47 2019  reduce to 8165720 relation sets and 7928627 unique ideals
Fri Aug 09 00:20:47 2019  ignored 9 oversize relation sets
Fri Aug 09 00:20:47 2019  commencing full merge
Fri Aug 09 00:22:33 2019  memory use: 928.6 MB
Fri Aug 09 00:22:34 2019  found 4219295 cycles, need 4194827
Fri Aug 09 00:22:35 2019  weight of 4194827 cycles is about 293794192 (70.04/cycle)
Fri Aug 09 00:22:35 2019  distribution of cycle lengths:
Fri Aug 09 00:22:35 2019  1 relations: 630727
Fri Aug 09 00:22:35 2019  2 relations: 576090
Fri Aug 09 00:22:35 2019  3 relations: 533897
Fri Aug 09 00:22:35 2019  4 relations: 459069
Fri Aug 09 00:22:35 2019  5 relations: 377422
Fri Aug 09 00:22:35 2019  6 relations: 315041
Fri Aug 09 00:22:35 2019  7 relations: 257004
Fri Aug 09 00:22:35 2019  8 relations: 205904
Fri Aug 09 00:22:35 2019  9 relations: 164620
Fri Aug 09 00:22:35 2019  10+ relations: 675053
Fri Aug 09 00:22:35 2019  heaviest cycle: 26 relations
Fri Aug 09 00:22:36 2019  commencing cycle optimization
Fri Aug 09 00:22:40 2019  start with 23086205 relations
Fri Aug 09 00:23:07 2019  pruned 406462 relations
Fri Aug 09 00:23:07 2019  memory use: 807.7 MB
Fri Aug 09 00:23:07 2019  distribution of cycle lengths:
Fri Aug 09 00:23:07 2019  1 relations: 630727
Fri Aug 09 00:23:07 2019  2 relations: 587477
Fri Aug 09 00:23:07 2019  3 relations: 549479
Fri Aug 09 00:23:07 2019  4 relations: 464660
Fri Aug 09 00:23:07 2019  5 relations: 381531
Fri Aug 09 00:23:07 2019  6 relations: 314987
Fri Aug 09 00:23:07 2019  7 relations: 255473
Fri Aug 09 00:23:07 2019  8 relations: 202865
Fri Aug 09 00:23:07 2019  9 relations: 161695
Fri Aug 09 00:23:07 2019  10+ relations: 645933
Fri Aug 09 00:23:07 2019  heaviest cycle: 26 relations
Fri Aug 09 00:23:11 2019  RelProcTime: 808
Fri Aug 09 00:23:11 2019  
Fri Aug 09 00:23:11 2019  commencing linear algebra
Fri Aug 09 00:23:12 2019  read 4194827 cycles
Fri Aug 09 00:23:17 2019  cycles contain 13936853 unique relations
Fri Aug 09 00:24:27 2019  read 13936853 relations
Fri Aug 09 00:24:43 2019  using 20 quadratic characters above 4294917295
Fri Aug 09 00:25:42 2019  building initial matrix
Fri Aug 09 00:27:12 2019  memory use: 1709.1 MB
Fri Aug 09 00:27:14 2019  read 4194827 cycles
Fri Aug 09 00:27:15 2019  matrix is 4194647 x 4194827 (1266.5 MB) with weight 369354574 (88.05/col)
Fri Aug 09 00:27:15 2019  sparse part has weight 285862551 (68.15/col)
Fri Aug 09 00:27:45 2019  filtering completed in 2 passes
Fri Aug 09 00:27:46 2019  matrix is 4186733 x 4186910 (1265.9 MB) with weight 369111479 (88.16/col)
Fri Aug 09 00:27:46 2019  sparse part has weight 285784251 (68.26/col)
Fri Aug 09 00:27:57 2019  matrix starts at (0, 0)
Fri Aug 09 00:27:58 2019  matrix is 4186733 x 4186910 (1265.9 MB) with weight 369111479 (88.16/col)
Fri Aug 09 00:27:58 2019  sparse part has weight 285784251 (68.26/col)
Fri Aug 09 00:27:58 2019  saving the first 48 matrix rows for later
Fri Aug 09 00:27:59 2019  matrix includes 64 packed rows
Fri Aug 09 00:27:59 2019  matrix is 4186685 x 4186910 (1202.7 MB) with weight 294657437 (70.38/col)
Fri Aug 09 00:27:59 2019  sparse part has weight 273400770 (65.30/col)
Fri Aug 09 00:27:59 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Fri Aug 09 00:28:12 2019  commencing Lanczos iteration (4 threads)
Fri Aug 09 00:28:12 2019  memory use: 982.6 MB
Fri Aug 09 00:28:24 2019  linear algebra at 0.0%, ETA 9h13m
Fri Aug 09 00:28:28 2019  checkpointing every 460000 dimensions
Fri Aug 09 00:31:08 2019  lanczos halted after 378 iterations (dim = 23893)
Fri Aug 09 00:31:09 2019  BLanczosTime: 478
Fri Aug 09 00:31:09 2019  
Fri Aug 09 00:31:09 2019  commencing square root phase
Fri Aug 09 00:31:09 2019  reading relations for dependency 1
Fri Aug 09 00:31:09 2019  error: read_cycles can't open dependency file
Fri Aug  9 07:23:59 2019  
Fri Aug  9 07:24:03 2019  
Fri Aug  9 07:24:03 2019  Msieve v. 1.53 (SVN Nicht versioniertes Verzeichnis)
Fri Aug  9 07:24:03 2019  random seeds: 844373c5 23bd3602
Fri Aug  9 07:24:03 2019  factoring 26221899575748783281424409289016801948345631107038299515733348260827329786457001053283432730167475583904103992921232905373848380516875078578749666416155002537972370319 (167 digits)
Fri Aug  9 07:24:06 2019  no P-1/P+1/ECM available, skipping
Fri Aug  9 07:24:06 2019  commencing number field sieve (167-digit input)
Fri Aug  9 07:24:06 2019  R0: -1000000000000000000000000000000000000000000
Fri Aug  9 07:24:06 2019  R1: 1
Fri Aug  9 07:24:06 2019  A0: 7
Fri Aug  9 07:24:06 2019  A1: 0
Fri Aug  9 07:24:06 2019  A2: 0
Fri Aug  9 07:24:06 2019  A3: 0
Fri Aug  9 07:24:06 2019  A4: 0
Fri Aug  9 07:24:06 2019  A5: 1
Fri Aug  9 07:24:06 2019  skew 1.48, size 2.386e-14, alpha 0.979, combined = 7.611e-12 rroots = 1
Fri Aug  9 07:24:06 2019  
Fri Aug  9 07:24:06 2019  commencing linear algebra
Fri Aug  9 07:24:07 2019  matrix starts at (0, 0)
Fri Aug  9 07:24:07 2019  matrix is 4186733 x 4186910 (1265.9 MB) with weight 369111479 (88.16/col)
Fri Aug  9 07:24:07 2019  sparse part has weight 285784251 (68.26/col)
Fri Aug  9 07:24:07 2019  saving the first 48 matrix rows for later
Fri Aug  9 07:24:08 2019  matrix includes 64 packed rows
Fri Aug  9 07:24:09 2019  matrix is 4186685 x 4186910 (1202.7 MB) with weight 294657437 (70.38/col)
Fri Aug  9 07:24:09 2019  sparse part has weight 273400770 (65.30/col)
Fri Aug  9 07:24:09 2019  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Fri Aug  9 07:24:22 2019  commencing Lanczos iteration (32 threads)
Fri Aug  9 07:24:22 2019  memory use: 983.3 MB
Fri Aug  9 07:24:23 2019  restarting at iteration 378 (dim = 23893)
Fri Aug  9 07:24:28 2019  linear algebra at 0.6%, ETA 3h48m
Fri Aug  9 07:24:31 2019  checkpointing every 970000 dimensions
Fri Aug  9 11:11:38 2019  lanczos halted after 66207 iterations (dim = 4186684)
Fri Aug  9 11:11:42 2019  recovered 35 nontrivial dependencies
Fri Aug  9 11:11:42 2019  BLanczosTime: 13656
Fri Aug  9 11:11:42 2019  elapsed time 03:47:39
Fri Aug  9 11:14:21 2019  
Fri Aug  9 11:14:21 2019  
Fri Aug  9 11:14:21 2019  Msieve v. 1.53 (SVN Nicht versioniertes Verzeichnis)
Fri Aug  9 11:14:21 2019  random seeds: 79190d84 b2d7ace4
Fri Aug  9 11:14:21 2019  factoring 26221899575748783281424409289016801948345631107038299515733348260827329786457001053283432730167475583904103992921232905373848380516875078578749666416155002537972370319 (167 digits)
Fri Aug  9 11:14:22 2019  no P-1/P+1/ECM available, skipping
Fri Aug  9 11:14:22 2019  commencing number field sieve (167-digit input)
Fri Aug  9 11:14:22 2019  R0: -1000000000000000000000000000000000000000000
Fri Aug  9 11:14:22 2019  R1: 1
Fri Aug  9 11:14:22 2019  A0: 7
Fri Aug  9 11:14:22 2019  A1: 0
Fri Aug  9 11:14:22 2019  A2: 0
Fri Aug  9 11:14:22 2019  A3: 0
Fri Aug  9 11:14:22 2019  A4: 0
Fri Aug  9 11:14:22 2019  A5: 1
Fri Aug  9 11:14:22 2019  skew 1.48, size 2.386e-14, alpha 0.979, combined = 7.611e-12 rroots = 1
Fri Aug  9 11:14:22 2019  
Fri Aug  9 11:14:22 2019  commencing square root phase
Fri Aug  9 11:14:22 2019  handling dependencies 1 to 3
Fri Aug  9 11:14:22 2019  reading relations for dependency 1
Fri Aug  9 11:14:22 2019  read 2094303 cycles
Fri Aug  9 11:14:25 2019  cycles contain 6968626 unique relations
Fri Aug  9 11:15:12 2019  read 6968626 relations
Fri Aug  9 11:15:41 2019  multiplying 6968626 relations
Fri Aug  9 11:18:44 2019  multiply complete, coefficients have about 169.12 million bits
Fri Aug  9 11:18:45 2019  initial square root is modulo 1172981
Fri Aug  9 11:22:18 2019  GCD is 1, no factor found
Fri Aug  9 11:22:18 2019  reading relations for dependency 2
Fri Aug  9 11:22:19 2019  read 2094026 cycles
Fri Aug  9 11:22:21 2019  cycles contain 6971906 unique relations
Fri Aug  9 11:23:03 2019  read 6971906 relations
Fri Aug  9 11:23:34 2019  multiplying 6971906 relations
Fri Aug  9 11:26:37 2019  multiply complete, coefficients have about 169.19 million bits
Fri Aug  9 11:26:38 2019  initial square root is modulo 1180351
Fri Aug  9 11:30:08 2019  sqrtTime: 946
Fri Aug  9 11:30:08 2019  p51 factor: 757721759972806418539482954001621204717134713898803
Fri Aug  9 11:30:08 2019  p116 factor: 34606238016300140085673016666607587766661718473229253636384411419754374231842158769200535073377192132473139660945973
Fri Aug  9 11:30:08 2019  elapsed time 00:15:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovAugust 21, 2012 20:52:58 UTC 2012 年 8 月 22 日 (水) 5 時 52 分 58 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:35 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:23 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 23 秒 (日本時間)

10211+7

c121

name 名前Warut Roonguthai
date 日付August 18, 2012 11:39:08 UTC 2012 年 8 月 18 日 (土) 20 時 39 分 8 秒 (日本時間)
composite number 合成数
7174820889627536130723963774214318928377923951621210435523028931159995355580516051264909896936631873634521572640831093369<121>
prime factors 素因数
2664151603090833109263995628418596441837247738901125571<55>
2693097825703169521041419024146585690373784529409077433522129509139<67>
factorization results 素因数分解の結果
N = 7174820889627536130723963774214318928377923951621210435523028931159995355580516051264909896936631873634521572640831093369 (121 digits)
Divisors found:
r1=2664151603090833109263995628418596441837247738901125571 (pp55)
r2=2693097825703169521041419024146585690373784529409077433522129509139 (pp67)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 10.23 hours.
Factorization parameters were as follows:
n: 7174820889627536130723963774214318928377923951621210435523028931159995355580516051264909896936631873634521572640831093369
Y0: -264138506691431529879095
Y1: 7347959618327
c0: 26383317997229200558766388852
c1: -40394896357162946339016
c2: -35356646673196269656
c3: 130481571329131
c4: 8440227108
c5: 5580
skew: 72213.73  
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10638321
Relations: 1308380 relations
Pruned matrix : 754073 x 754297
Polynomial selection time: 0.00 hours.
Total sieving time: 9.57 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.56 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,120,5,65,2000,1e-05,0.28,250,20,50000,3600,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 10.23 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)

10213+7

c156

name 名前Dmitry Domanov
date 日付August 19, 2012 17:53:34 UTC 2012 年 8 月 20 日 (月) 2 時 53 分 34 秒 (日本時間)
composite number 合成数
535087193378349244557135383215314999518887307017733355572961568764998848752916633768741495232995963902820111321190434532336726502337085054537467407362377189<156>
prime factors 素因数
9887424371435131481601848738042421079<37>
888760529453929323955390238573982849294481<42>
60891493075416382475414314350635809376802761811450985676950378414665155037811<77>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3721628230
Step 1 took 28790ms
Step 2 took 10405ms
********** Factor found in step 2: 9887424371435131481601848738042421079
Found probable prime factor of 37 digits: 9887424371435131481601848738042421079
Composite cofactor 54117955624947335270473640053065339581271446269089739567348272820495982375566191291511661341045783744576470024228621091 has 119 digits

Sun Aug 19 20:40:52 2012  commencing relation filtering
Sun Aug 19 20:40:52 2012  estimated available RAM is 4096.0 MB
Sun Aug 19 20:40:52 2012  commencing duplicate removal, pass 1
Sun Aug 19 20:45:06 2012  found 994653 hash collisions in 11144829 relations
Sun Aug 19 20:45:43 2012  added 187 free relations
Sun Aug 19 20:45:43 2012  commencing duplicate removal, pass 2
Sun Aug 19 20:45:52 2012  found 666838 duplicates and 10478178 unique relations
Sun Aug 19 20:45:52 2012  memory use: 49.3 MB
Sun Aug 19 20:45:52 2012  reading ideals above 720000
Sun Aug 19 20:45:52 2012  commencing singleton removal, initial pass
Sun Aug 19 20:50:18 2012  memory use: 344.5 MB
Sun Aug 19 20:50:18 2012  reading all ideals from disk
Sun Aug 19 20:50:19 2012  memory use: 295.9 MB
Sun Aug 19 20:50:20 2012  commencing in-memory singleton removal
Sun Aug 19 20:50:21 2012  begin with 10478178 relations and 11047730 unique ideals
Sun Aug 19 20:50:31 2012  reduce to 4371569 relations and 3905527 ideals in 17 passes
Sun Aug 19 20:50:31 2012  max relations containing the same ideal: 90
Sun Aug 19 20:50:34 2012  removing 1040545 relations and 874817 ideals in 165728 cliques
Sun Aug 19 20:50:35 2012  commencing in-memory singleton removal
Sun Aug 19 20:50:35 2012  begin with 3331024 relations and 3905527 unique ideals
Sun Aug 19 20:50:38 2012  reduce to 3163850 relations and 2855766 ideals in 11 passes
Sun Aug 19 20:50:38 2012  max relations containing the same ideal: 70
Sun Aug 19 20:50:41 2012  removing 774415 relations and 608688 ideals in 165728 cliques
Sun Aug 19 20:50:42 2012  commencing in-memory singleton removal
Sun Aug 19 20:50:42 2012  begin with 2389435 relations and 2855766 unique ideals
Sun Aug 19 20:50:44 2012  reduce to 2251237 relations and 2101679 ideals in 10 passes
Sun Aug 19 20:50:44 2012  max relations containing the same ideal: 53
Sun Aug 19 20:50:45 2012  removing 118208 relations and 103237 ideals in 14971 cliques
Sun Aug 19 20:50:46 2012  commencing in-memory singleton removal
Sun Aug 19 20:50:46 2012  begin with 2133029 relations and 2101679 unique ideals
Sun Aug 19 20:50:46 2012  reduce to 2128766 relations and 1994140 ideals in 6 passes
Sun Aug 19 20:50:46 2012  max relations containing the same ideal: 50
Sun Aug 19 20:50:49 2012  relations with 0 large ideals: 460
Sun Aug 19 20:50:49 2012  relations with 1 large ideals: 3963
Sun Aug 19 20:50:49 2012  relations with 2 large ideals: 46478
Sun Aug 19 20:50:49 2012  relations with 3 large ideals: 211757
Sun Aug 19 20:50:49 2012  relations with 4 large ideals: 495909
Sun Aug 19 20:50:49 2012  relations with 5 large ideals: 639842
Sun Aug 19 20:50:49 2012  relations with 6 large ideals: 474555
Sun Aug 19 20:50:49 2012  relations with 7+ large ideals: 255802
Sun Aug 19 20:50:49 2012  commencing 2-way merge
Sun Aug 19 20:50:51 2012  reduce to 1268760 relation sets and 1134134 unique ideals
Sun Aug 19 20:50:51 2012  commencing full merge
Sun Aug 19 20:51:14 2012  memory use: 123.2 MB
Sun Aug 19 20:51:14 2012  found 623999 cycles, need 606334
Sun Aug 19 20:51:15 2012  weight of 606334 cycles is about 42491813 (70.08/cycle)
Sun Aug 19 20:51:15 2012  distribution of cycle lengths:
Sun Aug 19 20:51:15 2012  1 relations: 69245
Sun Aug 19 20:51:15 2012  2 relations: 64804
Sun Aug 19 20:51:15 2012  3 relations: 66516
Sun Aug 19 20:51:15 2012  4 relations: 62038
Sun Aug 19 20:51:15 2012  5 relations: 57541
Sun Aug 19 20:51:15 2012  6 relations: 50865
Sun Aug 19 20:51:15 2012  7 relations: 44274
Sun Aug 19 20:51:15 2012  8 relations: 39295
Sun Aug 19 20:51:15 2012  9 relations: 32679
Sun Aug 19 20:51:15 2012  10+ relations: 119077
Sun Aug 19 20:51:15 2012  heaviest cycle: 19 relations
Sun Aug 19 20:51:16 2012  commencing cycle optimization
Sun Aug 19 20:51:19 2012  start with 3637652 relations
Sun Aug 19 20:51:27 2012  pruned 85627 relations
Sun Aug 19 20:51:27 2012  memory use: 121.1 MB
Sun Aug 19 20:51:27 2012  distribution of cycle lengths:
Sun Aug 19 20:51:27 2012  1 relations: 69245
Sun Aug 19 20:51:27 2012  2 relations: 66182
Sun Aug 19 20:51:27 2012  3 relations: 68771
Sun Aug 19 20:51:27 2012  4 relations: 63506
Sun Aug 19 20:51:27 2012  5 relations: 58942
Sun Aug 19 20:51:27 2012  6 relations: 51800
Sun Aug 19 20:51:27 2012  7 relations: 44927
Sun Aug 19 20:51:27 2012  8 relations: 39470
Sun Aug 19 20:51:27 2012  9 relations: 32578
Sun Aug 19 20:51:27 2012  10+ relations: 110913
Sun Aug 19 20:51:27 2012  heaviest cycle: 19 relations
Sun Aug 19 20:51:28 2012  RelProcTime: 636
Sun Aug 19 20:51:29 2012
Sun Aug 19 20:51:29 2012  commencing linear algebra
Sun Aug 19 20:51:29 2012  read 606334 cycles
Sun Aug 19 20:51:33 2012  cycles contain 2027853 unique relations
Sun Aug 19 20:52:23 2012  read 2027853 relations
Sun Aug 19 20:52:26 2012  using 20 quadratic characters above 134216394
Sun Aug 19 20:52:45 2012  building initial matrix
Sun Aug 19 20:53:45 2012  memory use: 255.8 MB
Sun Aug 19 20:53:46 2012  read 606334 cycles
Sun Aug 19 20:53:46 2012  matrix is 606152 x 606334 (183.8 MB) with weight 57863183 (95.43/col)
Sun Aug 19 20:53:46 2012  sparse part has weight 40896638 (67.45/col)
Sun Aug 19 20:54:07 2012  filtering completed in 2 passes
Sun Aug 19 20:54:08 2012  matrix is 604625 x 604806 (183.6 MB) with weight 57792449 (95.56/col)
Sun Aug 19 20:54:08 2012  sparse part has weight 40870811 (67.58/col)
Sun Aug 19 20:54:10 2012  matrix starts at (0, 0)
Sun Aug 19 20:54:10 2012  matrix is 604625 x 604806 (183.6 MB) with weight 57792449 (95.56/col)
Sun Aug 19 20:54:10 2012  sparse part has weight 40870811 (67.58/col)
Sun Aug 19 20:54:10 2012  saving the first 48 matrix rows for later
Sun Aug 19 20:54:11 2012  matrix includes 64 packed rows
Sun Aug 19 20:54:11 2012  matrix is 604577 x 604806 (175.7 MB) with weight 45733667 (75.62/col)
Sun Aug 19 20:54:11 2012  sparse part has weight 40002950 (66.14/col)
Sun Aug 19 20:54:11 2012  using block size 65536 for processor cache size 12288 kB
Sun Aug 19 20:54:29 2012  commencing Lanczos iteration (8 threads)
Sun Aug 19 20:54:29 2012  memory use: 167.8 MB
Sun Aug 19 20:54:34 2012  checkpointing every 1460000 dimensions
Sun Aug 19 20:54:37 2012  linear algebra at 0.5%, ETA 0h26m
Sun Aug 19 21:17:53 2012  lanczos halted after 9561 iterations (dim = 604575)
Sun Aug 19 21:17:55 2012  recovered 30 nontrivial dependencies
Sun Aug 19 21:17:55 2012  BLanczosTime: 1586
Sun Aug 19 21:17:55 2012
Sun Aug 19 21:17:55 2012  commencing square root phase
Sun Aug 19 21:17:55 2012  reading relations for dependency 1
Sun Aug 19 21:17:56 2012  read 302514 cycles
Sun Aug 19 21:17:57 2012  cycles contain 1013246 unique relations
Sun Aug 19 21:18:25 2012  read 1013246 relations
Sun Aug 19 21:18:32 2012  multiplying 1013246 relations
Sun Aug 19 21:20:26 2012  multiply complete, coefficients have about 41.61 million bits
Sun Aug 19 21:20:27 2012  initial square root is modulo 942479
Sun Aug 19 21:22:47 2012  sqrtTime: 292

prp77 = 60891493075416382475414314350635809376802761811450985676950378414665155037811
prp42 = 888760529453929323955390238573982849294481
NFS elapsed time = 27193.8253 seconds.
software ソフトウェア
GMP-ECM 6.4.3, yafu 1.32.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)

10214+7

c160

name 名前Alfred Reich
date 日付May 15, 2020 01:28:35 UTC 2020 年 5 月 15 日 (金) 10 時 28 分 35 秒 (日本時間)
composite number 合成数
1856944976278395667123192070487946069156447093010621783209793294555579312288239284711997737207228340795451643962992701085385021345472128898919265440869570229109<160>
prime factors 素因数
577726174782139556747112725455872849538690208795849<51>
3214230300329822004464153071996806093995141695549926677436158269005419731387408555032787705195284562305745741<109>
factorization results 素因数分解の結果
# gnfs-lasieve4I14e -v -f 17000000 -c 23000000 -o out -r poly
# poly:
# n: 1856944976278395667123192070487946069156447093010621783209793294555579312288239284711997737207228340795451643962992701085385021345472128898919265440869570229109
# m: 5000000000000000000000000000000000000000000
# deg: 5
# c5: 16
# c0: 35
# skew: 1.17
# rlim: 27000000
# alim: 27000000
# lpbr: 29
# lpba: 29
# mfbr: 57
# mfba: 57
# rlambda: 2.6
# alambda: 2.6
# msieve -i ini -s out -l 10w7_214.log -t 4 -nf fb -nc "target_density=80"
# fb:
# N 1856944976278395667123192070487946069156447093010621783209793294555579312288239284711997737207228340795451643962992701085385021345472128898919265440869570229109
# SKEW 1.17
# R0 -5000000000000000000000000000000000000000000
# R1 1
# A5 16
# A0 35
# ini:
# N 1856944976278395667123192070487946069156447093010621783209793294555579312288239284711997737207228340795451643962992701085385021345472128898919265440869570229109
# p51-1 = 2*2*2*62041789402401292943*6269529190307*p18
# p51+1 = 2*37484175*639741788999*p32
# p109-1 = 2*2*1325887246935*2748295501222399*20811608273903*115336701640544825428010007774131*p35
# p109+1 = 2*17*13219433*57370033568864375320459124520305078046276055769*p54
Mon Aug 12 20:19:54 2019
Mon Aug 12 20:19:54 2019
Mon Aug 12 20:19:54 2019  Msieve v. 1.54 (SVN 1018)
Mon Aug 12 20:19:54 2019  random seeds: c25c1aa0 51287eb7
Mon Aug 12 20:19:54 2019  factoring 1856944976278395667123192070487946069156447093010621783209793294555579312288239284711997737207228340795451643962992701085385021345472128898919265440869570229109 (160 digits)
Mon Aug 12 20:19:54 2019  searching for 15-digit factors
Mon Aug 12 20:19:55 2019  commencing number field sieve (160-digit input)
Mon Aug 12 20:19:55 2019  R0: -5000000000000000000000000000000000000000000
Mon Aug 12 20:19:55 2019  R1: 1
Mon Aug 12 20:19:55 2019  A0: 35
Mon Aug 12 20:19:55 2019  A1: 0
Mon Aug 12 20:19:55 2019  A2: 0
Mon Aug 12 20:19:55 2019  A3: 0
Mon Aug 12 20:19:55 2019  A4: 0
Mon Aug 12 20:19:55 2019  A5: 16
Mon Aug 12 20:19:55 2019  skew 1.17, size 7.160e-015, alpha 0.674, combined = 3.715e-012 rroots = 1
Mon Aug 12 20:19:55 2019
Mon Aug 12 20:19:55 2019  commencing relation filtering
Mon Aug 12 20:19:55 2019  setting target matrix density to 80.0
Mon Aug 12 20:19:55 2019  estimated available RAM is 8051.3 MB
Mon Aug 12 20:19:55 2019  commencing duplicate removal, pass 1
Mon Aug 12 20:24:38 2019  found 1387101 hash collisions in 39561853 relations
Mon Aug 12 20:25:04 2019  added 731318 free relations
Mon Aug 12 20:25:04 2019  commencing duplicate removal, pass 2
Mon Aug 12 20:25:24 2019  found 0 duplicates and 40293171 unique relations
Mon Aug 12 20:25:24 2019  memory use: 126.6 MB
Mon Aug 12 20:25:24 2019  reading ideals above 720000
Mon Aug 12 20:25:24 2019  commencing singleton removal, initial pass
Mon Aug 12 20:29:47 2019  memory use: 1378.0 MB
Mon Aug 12 20:29:47 2019  reading all ideals from disk
Mon Aug 12 20:29:48 2019  memory use: 1445.8 MB
Mon Aug 12 20:29:52 2019  keeping 43044488 ideals with weight <= 200, target excess is 213937
Mon Aug 12 20:29:56 2019  commencing in-memory singleton removal
Mon Aug 12 20:29:59 2019  begin with 40293171 relations and 43044488 unique ideals
Mon Aug 12 20:30:30 2019  reduce to 18344373 relations and 17975088 ideals in 21 passes
Mon Aug 12 20:30:30 2019  max relations containing the same ideal: 122
Mon Aug 12 20:30:38 2019  removing 870600 relations and 810041 ideals in 60559 cliques
Mon Aug 12 20:30:39 2019  commencing in-memory singleton removal
Mon Aug 12 20:30:40 2019  begin with 17473773 relations and 17975088 unique ideals
Mon Aug 12 20:30:53 2019  reduce to 17436169 relations and 17127234 ideals in 11 passes
Mon Aug 12 20:30:53 2019  max relations containing the same ideal: 120
Mon Aug 12 20:31:01 2019  removing 627480 relations and 566921 ideals in 60559 cliques
Mon Aug 12 20:31:01 2019  commencing in-memory singleton removal
Mon Aug 12 20:31:03 2019  begin with 16808689 relations and 17127234 unique ideals
Mon Aug 12 20:31:11 2019  reduce to 16788273 relations and 16539823 ideals in 7 passes
Mon Aug 12 20:31:11 2019  max relations containing the same ideal: 117
Mon Aug 12 20:31:20 2019  relations with 0 large ideals: 4541
Mon Aug 12 20:31:20 2019  relations with 1 large ideals: 1152
Mon Aug 12 20:31:20 2019  relations with 2 large ideals: 19064
Mon Aug 12 20:31:20 2019  relations with 3 large ideals: 168599
Mon Aug 12 20:31:20 2019  relations with 4 large ideals: 819268
Mon Aug 12 20:31:20 2019  relations with 5 large ideals: 2366541
Mon Aug 12 20:31:20 2019  relations with 6 large ideals: 4390053
Mon Aug 12 20:31:20 2019  relations with 7+ large ideals: 9019055
Mon Aug 12 20:31:20 2019  commencing 2-way merge
Mon Aug 12 20:31:31 2019  reduce to 9972820 relation sets and 9724371 unique ideals
Mon Aug 12 20:31:31 2019  ignored 1 oversize relation sets
Mon Aug 12 20:31:31 2019  commencing full merge
Mon Aug 12 20:34:08 2019  memory use: 1200.2 MB
Mon Aug 12 20:34:09 2019  found 4938734 cycles, need 4926571
Mon Aug 12 20:34:10 2019  weight of 4926571 cycles is about 394375193 (80.05/cycle)
Mon Aug 12 20:34:10 2019  distribution of cycle lengths:
Mon Aug 12 20:34:10 2019  1 relations: 710072
Mon Aug 12 20:34:10 2019  2 relations: 603355
Mon Aug 12 20:34:10 2019  3 relations: 557569
Mon Aug 12 20:34:10 2019  4 relations: 484063
Mon Aug 12 20:34:10 2019  5 relations: 425310
Mon Aug 12 20:34:10 2019  6 relations: 353291
Mon Aug 12 20:34:10 2019  7 relations: 299431
Mon Aug 12 20:34:10 2019  8 relations: 254708
Mon Aug 12 20:34:10 2019  9 relations: 211148
Mon Aug 12 20:34:10 2019  10+ relations: 1027624
Mon Aug 12 20:34:10 2019  heaviest cycle: 28 relations
Mon Aug 12 20:34:12 2019  commencing cycle optimization
Mon Aug 12 20:34:17 2019  start with 30506036 relations
Mon Aug 12 20:35:01 2019  pruned 760256 relations
Mon Aug 12 20:35:01 2019  memory use: 987.7 MB
Mon Aug 12 20:35:01 2019  distribution of cycle lengths:
Mon Aug 12 20:35:01 2019  1 relations: 710072
Mon Aug 12 20:35:01 2019  2 relations: 617505
Mon Aug 12 20:35:01 2019  3 relations: 577459
Mon Aug 12 20:35:01 2019  4 relations: 495169
Mon Aug 12 20:35:01 2019  5 relations: 433400
Mon Aug 12 20:35:01 2019  6 relations: 356322
Mon Aug 12 20:35:01 2019  7 relations: 301152
Mon Aug 12 20:35:01 2019  8 relations: 252246
Mon Aug 12 20:35:01 2019  9 relations: 208228
Mon Aug 12 20:35:01 2019  10+ relations: 975018
Mon Aug 12 20:35:01 2019  heaviest cycle: 28 relations
Mon Aug 12 20:35:07 2019  RelProcTime: 912
Mon Aug 12 20:35:07 2019
Mon Aug 12 20:35:07 2019  commencing linear algebra
Mon Aug 12 20:35:07 2019  read 4926571 cycles
Mon Aug 12 20:35:14 2019  cycles contain 16478858 unique relations
Mon Aug 12 20:36:34 2019  read 16478858 relations
Mon Aug 12 20:36:55 2019  using 20 quadratic characters above 4294917295
Mon Aug 12 20:38:06 2019  building initial matrix
Mon Aug 12 20:40:07 2019  memory use: 2034.8 MB
Mon Aug 12 20:40:15 2019  read 4926571 cycles
Mon Aug 12 20:40:16 2019  matrix is 4926394 x 4926571 (1651.7 MB) with weight 481297635 (97.69/col)
Mon Aug 12 20:40:16 2019  sparse part has weight 378797550 (76.89/col)
Mon Aug 12 20:40:56 2019  filtering completed in 2 passes
Mon Aug 12 20:40:56 2019  matrix is 4923958 x 4924135 (1651.5 MB) with weight 481208781 (97.72/col)
Mon Aug 12 20:40:56 2019  sparse part has weight 378764906 (76.92/col)
Mon Aug 12 20:41:14 2019  matrix starts at (0, 0)
Mon Aug 12 20:41:15 2019  matrix is 4923958 x 4924135 (1651.5 MB) with weight 481208781 (97.72/col)
Mon Aug 12 20:41:15 2019  sparse part has weight 378764906 (76.92/col)
Mon Aug 12 20:41:15 2019  saving the first 48 matrix rows for later
Mon Aug 12 20:41:16 2019  matrix includes 64 packed rows
Mon Aug 12 20:41:16 2019  matrix is 4923910 x 4924135 (1575.0 MB) with weight 392942313 (79.80/col)
Mon Aug 12 20:41:16 2019  sparse part has weight 363637157 (73.85/col)
Mon Aug 12 20:41:16 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Mon Aug 12 20:41:32 2019  commencing Lanczos iteration (4 threads)
Mon Aug 12 20:41:32 2019  memory use: 1300.0 MB
Mon Aug 12 20:41:49 2019  linear algebra at 0.0%, ETA 14h24m
Mon Aug 12 20:41:54 2019  checkpointing every 350000 dimensions
Mon Aug 12 22:33:32 2019  lanczos halted after 11250 iterations (dim = 711350)
Mon Aug 12 22:33:33 2019  BLanczosTime: 7106
Mon Aug 12 22:33:33 2019
Mon Aug 12 22:33:33 2019  commencing square root phase
Mon Aug 12 22:33:33 2019  handling dependencies 1 to 64
Mon Aug 12 22:33:33 2019  reading relations for dependency 1
Mon Aug 12 22:33:33 2019  error: read_cycles can't open dependency file
Tue Aug 13 05:56:04 2019
Tue Aug 13 05:56:04 2019
Tue Aug 13 05:56:04 2019  Msieve v. 1.54 (SVN 1018)
Tue Aug 13 05:56:04 2019  random seeds: 5fab74a0 2bbd022a
Tue Aug 13 05:56:04 2019  factoring 1856944976278395667123192070487946069156447093010621783209793294555579312288239284711997737207228340795451643962992701085385021345472128898919265440869570229109 (160 digits)
Tue Aug 13 05:56:05 2019  searching for 15-digit factors
Tue Aug 13 05:56:05 2019  commencing number field sieve (160-digit input)
Tue Aug 13 05:56:05 2019  R0: -5000000000000000000000000000000000000000000
Tue Aug 13 05:56:05 2019  R1: 1
Tue Aug 13 05:56:05 2019  A0: 35
Tue Aug 13 05:56:05 2019  A1: 0
Tue Aug 13 05:56:05 2019  A2: 0
Tue Aug 13 05:56:05 2019  A3: 0
Tue Aug 13 05:56:05 2019  A4: 0
Tue Aug 13 05:56:05 2019  A5: 16
Tue Aug 13 05:56:05 2019  skew 1.17, size 7.160e-015, alpha 0.674, combined = 3.715e-012 rroots = 1
Tue Aug 13 05:56:05 2019
Tue Aug 13 05:56:05 2019  commencing linear algebra
Tue Aug 13 05:56:15 2019  matrix starts at (0, 0)
Tue Aug 13 05:56:15 2019  matrix is 4923958 x 4924135 (1651.5 MB) with weight 481208781 (97.72/col)
Tue Aug 13 05:56:15 2019  sparse part has weight 378764906 (76.92/col)
Tue Aug 13 05:56:15 2019  saving the first 48 matrix rows for later
Tue Aug 13 05:56:16 2019  matrix includes 64 packed rows
Tue Aug 13 05:56:17 2019  matrix is 4923910 x 4924135 (1575.0 MB) with weight 392942313 (79.80/col)
Tue Aug 13 05:56:17 2019  sparse part has weight 363637157 (73.85/col)
Tue Aug 13 05:56:17 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Tue Aug 13 05:56:33 2019  commencing Lanczos iteration (4 threads)
Tue Aug 13 05:56:33 2019  memory use: 1300.0 MB
Tue Aug 13 05:56:34 2019  restarting at iteration 11250 (dim = 711350)
Tue Aug 13 05:56:41 2019  checkpointing every 360000 dimensions
Tue Aug 13 05:56:48 2019  linear algebra at 14.5%, ETA 10h47m
Tue Aug 13 16:07:58 2019  lanczos halted after 77869 iterations (dim = 4923909)
Tue Aug 13 16:08:03 2019  recovered 40 nontrivial dependencies
Tue Aug 13 16:08:05 2019  BLanczosTime: 36720
Tue Aug 13 16:08:05 2019  elapsed time 10:12:01
Tue Aug 13 16:17:31 2019
Tue Aug 13 16:17:31 2019
Tue Aug 13 16:17:31 2019  Msieve v. 1.54 (SVN 1018)
Tue Aug 13 16:17:31 2019  random seeds: 2e79b830 7e12cfa0
Tue Aug 13 16:17:31 2019  factoring 1856944976278395667123192070487946069156447093010621783209793294555579312288239284711997737207228340795451643962992701085385021345472128898919265440869570229109 (160 digits)
Tue Aug 13 16:17:32 2019  searching for 15-digit factors
Tue Aug 13 16:17:32 2019  commencing number field sieve (160-digit input)
Tue Aug 13 16:17:32 2019  R0: -5000000000000000000000000000000000000000000
Tue Aug 13 16:17:32 2019  R1: 1
Tue Aug 13 16:17:32 2019  A0: 35
Tue Aug 13 16:17:32 2019  A1: 0
Tue Aug 13 16:17:32 2019  A2: 0
Tue Aug 13 16:17:32 2019  A3: 0
Tue Aug 13 16:17:32 2019  A4: 0
Tue Aug 13 16:17:32 2019  A5: 16
Tue Aug 13 16:17:32 2019  skew 1.17, size 7.160e-015, alpha 0.674, combined = 3.715e-012 rroots = 1
Tue Aug 13 16:17:32 2019
Tue Aug 13 16:17:32 2019  commencing square root phase
Tue Aug 13 16:17:32 2019  handling dependencies 1 to 3
Tue Aug 13 16:17:32 2019  reading relations for dependency 1
Tue Aug 13 16:17:33 2019  read 2461429 cycles
Tue Aug 13 16:17:36 2019  cycles contain 8235738 unique relations
Tue Aug 13 16:18:19 2019  read 8235738 relations
Tue Aug 13 16:18:54 2019  multiplying 8235738 relations
Tue Aug 13 16:22:17 2019  multiply complete, coefficients have about 234.36 million bits
Tue Aug 13 16:22:18 2019  initial square root is modulo 257425711
Tue Aug 13 16:26:17 2019  sqrtTime: 525
Tue Aug 13 16:26:17 2019  p51 factor: 577726174782139556747112725455872849538690208795849
Tue Aug 13 16:26:17 2019  p109 factor: 3214230300329822004464153071996806093995141695549926677436158269005419731387408555032787705195284562305745741
Tue Aug 13 16:26:17 2019  elapsed time 00:08:46

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovAugust 21, 2012 20:52:43 UTC 2012 年 8 月 22 日 (水) 5 時 52 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:35 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:23 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 23 秒 (日本時間)

10216+7

c186

name 名前Dmitry Domanov
date 日付August 18, 2012 11:28:27 UTC 2012 年 8 月 18 日 (土) 20 時 28 分 27 秒 (日本時間)
composite number 合成数
556156398167947809249265205777485321541588645480939480322315820441015186937981874847898906928686078905237558362623744986634719130187811749033223896629058613275170113883640209545782294803<186>
prime factors 素因数
113455382572206536142518188966027499711<39>
composite cofactor 合成数の残り
4901983366139482806398292014150281845303006156739522687917834847700418194891611438188567519150241445744903328634707321105502476025921146747712716973<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3336176692
Step 1 took 33724ms
Step 2 took 11935ms
********** Factor found in step 2: 113455382572206536142518188966027499711
Found probable prime factor of 39 digits: 113455382572206536142518188966027499711

c148

name 名前suberi
date 日付August 20, 2012 07:20:04 UTC 2012 年 8 月 20 日 (月) 16 時 20 分 4 秒 (日本時間)
composite number 合成数
4901983366139482806398292014150281845303006156739522687917834847700418194891611438188567519150241445744903328634707321105502476025921146747712716973<148>
prime factors 素因数
154238541829341266823050790864600342294839<42>
31781831622626009581695546063359518462468028005943060801364420591661885368234231588458901008598930145582907<107>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2663209420
Step 1 took 12750ms
Step 2 took 5094ms
********** Factor found in step 2: 154238541829341266823050790864600342294839
Found probable prime factor of 42 digits: 154238541829341266823050790864600342294839
Probable prime cofactor 31781831622626009581695546063359518462468028005943060801364420591661885368234231588458901008598930145582907 has 107 digits
software ソフトウェア
GMP-ECM 6.4.3
execution environment 実行環境
Celeron E3300 2.50GHz, Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)

10217+7

c149

name 名前Dmitry Domanov
date 日付August 18, 2012 11:27:56 UTC 2012 年 8 月 18 日 (土) 20 時 27 分 56 秒 (日本時間)
composite number 合成数
39271500887433475762324362119890256269560264116195866341262677286725599863599949650618439025047438704106173476301528032923361364193801801599148170691<149>
prime factors 素因数
1760027559974334135939378172426433<34>
22313003375927907784441241203174219885382546232493597522286650252867793468269306677140539845119807841909009431729027<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=137252661
Step 1 took 23243ms
Step 2 took 9357ms
********** Factor found in step 2: 1760027559974334135939378172426433
Found probable prime factor of 34 digits: 1760027559974334135939378172426433

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)

10218+7

c209

name 名前Dmitry Domanov
date 日付August 17, 2012 15:56:08 UTC 2012 年 8 月 18 日 (土) 0 時 56 分 8 秒 (日本時間)
composite number 合成数
50403987175953465801117234718955288493468175780120944780541395184008200373869457910173442534223441603992656278183468185664342829985016038783097928761001531479282713015940713068160251862191561501465039014997097<209>
prime factors 素因数
12694596640213230134611389284009141863<38>
composite cofactor 合成数の残り
3970507185418286281169702855869950032070484656674285177545536482714021926227359166638837641054185911137047837605120569571768992052494501997088369091813517136300711705375919<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=554361282
Step 1 took 38471ms
Step 2 took 13364ms
********** Factor found in step 2: 12694596640213230134611389284009141863
Found probable prime factor of 38 digits: 12694596640213230134611389284009141863

c172

name 名前Alfred Reich
date 日付May 17, 2020 06:07:29 UTC 2020 年 5 月 17 日 (日) 15 時 7 分 29 秒 (日本時間)
composite number 合成数
3970507185418286281169702855869950032070484656674285177545536482714021926227359166638837641054185911137047837605120569571768992052494501997088369091813517136300711705375919<172>
prime factors 素因数
72529028187017098143460081736153203029670826363809<50>
54743697587954423112182498277217451043642700136664459098833711486164737853455964934319061620460176692014866324580799667791<122>
factorization results 素因数分解の結果
# gnfs-lasieve4I14e -v -f 10000000 -c 25000000 -o out -r poly
# poly:
# n: 3970507185418286281169702855869950032070484656674285177545536482714021926227359166638837641054185911137047837605120569571768992052494501997088369091813517136300711705375919
# m: 10000000000000000000000000000000000000000000
# deg: 5
# c5: 1000
# c0: 7
# skew: 0.37
# rlim: 30000000
# alim: 30000000
# lpbr: 30
# lpba: 30
# mfbr: 58
# mfba: 58
# rlambda: 2.6
# alambda: 2.6
# msieve -i ini -s out -l log -nf fb -nc
# fb:
# N 3970507185418286281169702855869950032070484656674285177545536482714021926227359166638837641054185911137047837605120569571768992052494501997088369091813517136300711705375919
# SKEW 0.37
# R0 -10000000000000000000000000000000000000000000
# R1 1
# A5 1000
# A0 7
# ini
# 3970507185418286281169702855869950032070484656674285177545536482714021926227359166638837641054185911137047837605120569571768992052494501997088369091813517136300711705375919
Mon Aug 19 12:40:34 2019  
Mon Aug 19 12:40:34 2019  
Mon Aug 19 12:40:34 2019  Msieve v. 1.54 (SVN 1018)
Mon Aug 19 12:40:34 2019  random seeds: 6d825f00 5dfc39af
Mon Aug 19 12:40:34 2019  factoring 3970507185418286281169702855869950032070484656674285177545536482714021926227359166638837641054185911137047837605120569571768992052494501997088369091813517136300711705375919 (172 digits)
Mon Aug 19 12:40:34 2019  searching for 15-digit factors
Mon Aug 19 12:40:35 2019  commencing number field sieve (172-digit input)
Mon Aug 19 12:40:35 2019  R0: -10000000000000000000000000000000000000000000
Mon Aug 19 12:40:35 2019  R1: 1
Mon Aug 19 12:40:35 2019  A0: 7
Mon Aug 19 12:40:35 2019  A1: 0
Mon Aug 19 12:40:35 2019  A2: 0
Mon Aug 19 12:40:35 2019  A3: 0
Mon Aug 19 12:40:35 2019  A4: 0
Mon Aug 19 12:40:35 2019  A5: 1000
Mon Aug 19 12:40:35 2019  skew 0.37, size 4.793e-015, alpha -0.653, combined = 2.863e-012 rroots = 1
Mon Aug 19 12:40:35 2019  
Mon Aug 19 12:40:35 2019  commencing relation filtering
Mon Aug 19 12:40:35 2019  setting target matrix density to 100.0
Mon Aug 19 12:40:35 2019  estimated available RAM is 8051.3 MB
Mon Aug 19 12:40:35 2019  commencing duplicate removal, pass 1
Mon Aug 19 12:48:56 2019  found 4001287 hash collisions in 68317520 relations
Mon Aug 19 12:49:19 2019  added 6 free relations
Mon Aug 19 12:49:19 2019  commencing duplicate removal, pass 2
Mon Aug 19 12:49:52 2019  found 0 duplicates and 68317526 unique relations
Mon Aug 19 12:49:52 2019  memory use: 197.2 MB
Mon Aug 19 12:49:52 2019  reading ideals above 37289984
Mon Aug 19 12:49:52 2019  commencing singleton removal, initial pass
Mon Aug 19 12:58:02 2019  memory use: 1506.0 MB
Mon Aug 19 12:58:03 2019  reading all ideals from disk
Mon Aug 19 12:58:11 2019  memory use: 1217.5 MB
Mon Aug 19 12:58:14 2019  commencing in-memory singleton removal
Mon Aug 19 12:58:16 2019  begin with 68317526 relations and 68659949 unique ideals
Mon Aug 19 12:58:37 2019  reduce to 27424585 relations and 21546188 ideals in 20 passes
Mon Aug 19 12:58:37 2019  max relations containing the same ideal: 20
Mon Aug 19 12:58:39 2019  reading ideals above 720000
Mon Aug 19 12:58:39 2019  commencing singleton removal, initial pass
Mon Aug 19 13:02:21 2019  memory use: 689.0 MB
Mon Aug 19 13:02:21 2019  reading all ideals from disk
Mon Aug 19 13:02:21 2019  memory use: 980.1 MB
Mon Aug 19 13:02:24 2019  keeping 25955297 ideals with weight <= 200, target excess is 146468
Mon Aug 19 13:02:26 2019  commencing in-memory singleton removal
Mon Aug 19 13:02:28 2019  begin with 27424595 relations and 25955297 unique ideals
Mon Aug 19 13:02:56 2019  reduce to 27405908 relations and 25936575 ideals in 14 passes
Mon Aug 19 13:02:56 2019  max relations containing the same ideal: 200
Mon Aug 19 13:03:08 2019  removing 3556022 relations and 3156022 ideals in 400000 cliques
Mon Aug 19 13:03:09 2019  commencing in-memory singleton removal
Mon Aug 19 13:03:11 2019  begin with 23849886 relations and 25936575 unique ideals
Mon Aug 19 13:03:30 2019  reduce to 23443984 relations and 22366207 ideals in 11 passes
Mon Aug 19 13:03:30 2019  max relations containing the same ideal: 188
Mon Aug 19 13:03:40 2019  removing 2664914 relations and 2264914 ideals in 400000 cliques
Mon Aug 19 13:03:41 2019  commencing in-memory singleton removal
Mon Aug 19 13:03:43 2019  begin with 20779070 relations and 22366207 unique ideals
Mon Aug 19 13:03:58 2019  reduce to 20515734 relations and 19833226 ideals in 10 passes
Mon Aug 19 13:03:58 2019  max relations containing the same ideal: 172
Mon Aug 19 13:04:07 2019  removing 2388081 relations and 1988081 ideals in 400000 cliques
Mon Aug 19 13:04:07 2019  commencing in-memory singleton removal
Mon Aug 19 13:04:09 2019  begin with 18127653 relations and 19833226 unique ideals
Mon Aug 19 13:04:23 2019  reduce to 17887897 relations and 17600800 ideals in 11 passes
Mon Aug 19 13:04:23 2019  max relations containing the same ideal: 156
Mon Aug 19 13:04:31 2019  removing 864943 relations and 747749 ideals in 117194 cliques
Mon Aug 19 13:04:31 2019  commencing in-memory singleton removal
Mon Aug 19 13:04:33 2019  begin with 17022954 relations and 17600800 unique ideals
Mon Aug 19 13:04:43 2019  reduce to 16990956 relations and 16820835 ideals in 8 passes
Mon Aug 19 13:04:43 2019  max relations containing the same ideal: 152
Mon Aug 19 13:04:52 2019  relations with 0 large ideals: 2942
Mon Aug 19 13:04:52 2019  relations with 1 large ideals: 389
Mon Aug 19 13:04:52 2019  relations with 2 large ideals: 7572
Mon Aug 19 13:04:52 2019  relations with 3 large ideals: 80170
Mon Aug 19 13:04:52 2019  relations with 4 large ideals: 480426
Mon Aug 19 13:04:52 2019  relations with 5 large ideals: 1685166
Mon Aug 19 13:04:52 2019  relations with 6 large ideals: 3766071
Mon Aug 19 13:04:52 2019  relations with 7+ large ideals: 10968220
Mon Aug 19 13:04:52 2019  commencing 2-way merge
Mon Aug 19 13:05:03 2019  reduce to 9842588 relation sets and 9672466 unique ideals
Mon Aug 19 13:05:03 2019  commencing full merge
Mon Aug 19 13:08:04 2019  memory use: 1244.4 MB
Mon Aug 19 13:08:05 2019  found 4558720 cycles, need 4556666
Mon Aug 19 13:08:06 2019  weight of 4556666 cycles is about 455987101 (100.07/cycle)
Mon Aug 19 13:08:06 2019  distribution of cycle lengths:
Mon Aug 19 13:08:06 2019  1 relations: 467640
Mon Aug 19 13:08:06 2019  2 relations: 408506
Mon Aug 19 13:08:06 2019  3 relations: 396578
Mon Aug 19 13:08:06 2019  4 relations: 373623
Mon Aug 19 13:08:06 2019  5 relations: 353150
Mon Aug 19 13:08:06 2019  6 relations: 320030
Mon Aug 19 13:08:06 2019  7 relations: 295495
Mon Aug 19 13:08:06 2019  8 relations: 264239
Mon Aug 19 13:08:06 2019  9 relations: 238605
Mon Aug 19 13:08:06 2019  10+ relations: 1438800
Mon Aug 19 13:08:06 2019  heaviest cycle: 28 relations
Mon Aug 19 13:08:08 2019  commencing cycle optimization
Mon Aug 19 13:08:13 2019  start with 34832142 relations
Mon Aug 19 13:09:13 2019  pruned 1021940 relations
Mon Aug 19 13:09:13 2019  memory use: 1050.4 MB
Mon Aug 19 13:09:13 2019  distribution of cycle lengths:
Mon Aug 19 13:09:13 2019  1 relations: 467640
Mon Aug 19 13:09:13 2019  2 relations: 417402
Mon Aug 19 13:09:13 2019  3 relations: 410288
Mon Aug 19 13:09:13 2019  4 relations: 383794
Mon Aug 19 13:09:13 2019  5 relations: 363472
Mon Aug 19 13:09:13 2019  6 relations: 327809
Mon Aug 19 13:09:13 2019  7 relations: 302108
Mon Aug 19 13:09:13 2019  8 relations: 268529
Mon Aug 19 13:09:13 2019  9 relations: 241933
Mon Aug 19 13:09:13 2019  10+ relations: 1373691
Mon Aug 19 13:09:13 2019  heaviest cycle: 28 relations
Mon Aug 19 13:09:19 2019  RelProcTime: 1724
Mon Aug 19 13:09:19 2019  
Mon Aug 19 13:09:19 2019  commencing linear algebra
Mon Aug 19 13:09:20 2019  read 4556666 cycles
Mon Aug 19 13:09:27 2019  cycles contain 16834016 unique relations
Mon Aug 19 13:10:56 2019  read 16834016 relations
Mon Aug 19 13:11:21 2019  using 20 quadratic characters above 4294917295
Mon Aug 19 13:12:32 2019  building initial matrix
Mon Aug 19 13:14:52 2019  memory use: 2122.4 MB
Mon Aug 19 13:15:00 2019  read 4556666 cycles
Mon Aug 19 13:15:01 2019  matrix is 4556489 x 4556666 (1843.2 MB) with weight 541139177 (118.76/col)
Mon Aug 19 13:15:01 2019  sparse part has weight 433071634 (95.04/col)
Mon Aug 19 13:15:39 2019  filtering completed in 2 passes
Mon Aug 19 13:15:40 2019  matrix is 4556352 x 4556529 (1843.2 MB) with weight 541134397 (118.76/col)
Mon Aug 19 13:15:40 2019  sparse part has weight 433070275 (95.04/col)
Mon Aug 19 13:15:54 2019  matrix starts at (0, 0)
Mon Aug 19 13:15:55 2019  matrix is 4556352 x 4556529 (1843.2 MB) with weight 541134397 (118.76/col)
Mon Aug 19 13:15:55 2019  sparse part has weight 433070275 (95.04/col)
Mon Aug 19 13:15:55 2019  saving the first 48 matrix rows for later
Mon Aug 19 13:15:56 2019  matrix includes 64 packed rows
Mon Aug 19 13:15:57 2019  matrix is 4556304 x 4556529 (1768.2 MB) with weight 454185535 (99.68/col)
Mon Aug 19 13:15:57 2019  sparse part has weight 417951001 (91.73/col)
Mon Aug 19 13:15:57 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Mon Aug 19 13:16:16 2019  commencing Lanczos iteration (4 threads)
Mon Aug 19 13:16:16 2019  memory use: 1464.8 MB
Mon Aug 19 13:16:31 2019  linear algebra at 0.0%, ETA 11h42m
Mon Aug 19 13:16:36 2019  checkpointing every 390000 dimensions
Mon Aug 19 13:18:06 2019  lanczos halted after 181 iterations (dim = 11442)
Mon Aug 19 13:18:07 2019  BLanczosTime: 528
Mon Aug 19 13:18:07 2019  
Mon Aug 19 13:18:07 2019  commencing square root phase
Mon Aug 19 13:18:07 2019  handling dependencies 1 to 64
Mon Aug 19 13:18:07 2019  reading relations for dependency 1
Mon Aug 19 13:18:07 2019  error: read_cycles can't open dependency file
Mon Aug 19 13:30:25 2019  
Mon Aug 19 13:30:25 2019  
Mon Aug 19 13:30:25 2019  Msieve v. 1.53 (SVN Nicht versioniertes Verzeichnis)
Mon Aug 19 13:30:25 2019  random seeds: a83a1119 5377c1d0
Mon Aug 19 13:30:25 2019  factoring 3970507185418286281169702855869950032070484656674285177545536482714021926227359166638837641054185911137047837605120569571768992052494501997088369091813517136300711705375919 (172 digits)
Mon Aug 19 13:30:25 2019  no P-1/P+1/ECM available, skipping
Mon Aug 19 13:30:25 2019  commencing number field sieve (172-digit input)
Mon Aug 19 13:30:25 2019  R0: -10000000000000000000000000000000000000000000
Mon Aug 19 13:30:25 2019  R1: 1
Mon Aug 19 13:30:25 2019  A0: 7
Mon Aug 19 13:30:25 2019  A1: 0
Mon Aug 19 13:30:25 2019  A2: 0
Mon Aug 19 13:30:25 2019  A3: 0
Mon Aug 19 13:30:25 2019  A4: 0
Mon Aug 19 13:30:25 2019  A5: 1000
Mon Aug 19 13:30:25 2019  skew 0.37, size 4.793e-15, alpha -0.653, combined = 2.863e-12 rroots = 1
Mon Aug 19 13:30:25 2019  
Mon Aug 19 13:30:25 2019  commencing linear algebra
Mon Aug 19 13:30:27 2019  matrix starts at (0, 0)
Mon Aug 19 13:30:28 2019  matrix is 4556352 x 4556529 (1843.2 MB) with weight 541134397 (118.76/col)
Mon Aug 19 13:30:28 2019  sparse part has weight 433070275 (95.04/col)
Mon Aug 19 13:30:28 2019  saving the first 48 matrix rows for later
Mon Aug 19 13:30:29 2019  matrix includes 64 packed rows
Mon Aug 19 13:30:30 2019  matrix is 4556304 x 4556529 (1768.2 MB) with weight 454185535 (99.68/col)
Mon Aug 19 13:30:30 2019  sparse part has weight 417951001 (91.73/col)
Mon Aug 19 13:30:30 2019  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Mon Aug 19 13:30:49 2019  commencing Lanczos iteration (32 threads)
Mon Aug 19 13:30:49 2019  memory use: 1465.5 MB
Mon Aug 19 13:30:50 2019  restarting at iteration 181 (dim = 11442)
Mon Aug 19 13:30:53 2019  checkpointing every 690000 dimensions
Mon Aug 19 13:30:58 2019  linear algebra at 0.3%, ETA 6h40m
Mon Aug 19 20:10:45 2019  lanczos halted after 72052 iterations (dim = 4556302)
Mon Aug 19 20:10:49 2019  recovered 37 nontrivial dependencies
Mon Aug 19 20:10:49 2019  BLanczosTime: 24024
Mon Aug 19 20:10:49 2019  elapsed time 06:40:24
Mon Aug 19 20:11:18 2019  
Mon Aug 19 20:11:18 2019  
Mon Aug 19 20:11:18 2019  Msieve v. 1.53 (SVN Nicht versioniertes Verzeichnis)
Mon Aug 19 20:11:18 2019  random seeds: 875ef200 c8e73c31
Mon Aug 19 20:11:18 2019  factoring 3970507185418286281169702855869950032070484656674285177545536482714021926227359166638837641054185911137047837605120569571768992052494501997088369091813517136300711705375919 (172 digits)
Mon Aug 19 20:11:19 2019  no P-1/P+1/ECM available, skipping
Mon Aug 19 20:11:19 2019  commencing number field sieve (172-digit input)
Mon Aug 19 20:11:19 2019  R0: -10000000000000000000000000000000000000000000
Mon Aug 19 20:11:19 2019  R1: 1
Mon Aug 19 20:11:19 2019  A0: 7
Mon Aug 19 20:11:19 2019  A1: 0
Mon Aug 19 20:11:19 2019  A2: 0
Mon Aug 19 20:11:19 2019  A3: 0
Mon Aug 19 20:11:19 2019  A4: 0
Mon Aug 19 20:11:19 2019  A5: 1000
Mon Aug 19 20:11:19 2019  skew 0.37, size 4.793e-15, alpha -0.653, combined = 2.863e-12 rroots = 1
Mon Aug 19 20:11:19 2019  
Mon Aug 19 20:11:19 2019  commencing square root phase
Mon Aug 19 20:11:19 2019  handling dependencies 4 to 6
Mon Aug 19 20:11:19 2019  reading relations for dependency 4
Mon Aug 19 20:11:19 2019  read 2278881 cycles
Mon Aug 19 20:11:23 2019  cycles contain 8419162 unique relations
Mon Aug 19 20:12:20 2019  read 8419162 relations
Mon Aug 19 20:12:58 2019  multiplying 8419162 relations
Mon Aug 19 20:18:24 2019  multiply complete, coefficients have about 281.77 million bits
Mon Aug 19 20:18:25 2019  initial square root is modulo 113891
Mon Aug 19 20:24:54 2019  sqrtTime: 815
Mon Aug 19 20:24:54 2019  p50 factor: 72529028187017098143460081736153203029670826363809
Mon Aug 19 20:24:54 2019  p122 factor: 54743697587954423112182498277217451043642700136664459098833711486164737853455964934319061620460176692014866324580799667791
Mon Aug 19 20:24:54 2019  elapsed time 00:13:36

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e626001000Dmitry DomanovAugust 21, 2012 20:52:34 UTC 2012 年 8 月 22 日 (水) 5 時 52 分 34 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:38:36 UTC 2014 年 1 月 9 日 (木) 13 時 38 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:24 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 24 秒 (日本時間)

10219+7

c209

name 名前Bob Backstrom
date 日付March 11, 2020 02:56:58 UTC 2020 年 3 月 11 日 (水) 11 時 56 分 58 秒 (日本時間)
composite number 合成数
13960276870145580159016114271940468683858653418995777643356378245811503948595607218060926504955324011972212212792509200154118703679808412247130543584488347609375076819259159215303145955968929563916840633649227<209>
prime factors 素因数
64564215055971099418609829457898065934305661071012569492706578632465063<71>
216223133171267298389422057662235963996385394653314720226362733569415171848057982262271241468481885241551566774125749126113266086542224829<138>
factorization results 素因数分解の結果
Number: n
N=13960276870145580159016114271940468683858653418995777643356378245811503948595607218060926504955324011972212212792509200154118703679808412247130543584488347609375076819259159215303145955968929563916840633649227
  ( 209 digits)
SNFS difficulty: 219 digits.
Divisors found:

Wed Mar 11 13:50:02 2020  p71 factor: 64564215055971099418609829457898065934305661071012569492706578632465063
Wed Mar 11 13:50:02 2020  p138 factor: 216223133171267298389422057662235963996385394653314720226362733569415171848057982262271241468481885241551566774125749126113266086542224829
Wed Mar 11 13:50:02 2020  elapsed time 10:31:17 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 10^219+7 = 10(218)7
#
n: 13960276870145580159016114271940468683858653418995777643356378245811503948595607218060926504955324011972212212792509200154118703679808412247130543584488347609375076819259159215303145955968929563916840633649227
m: 1000000000000000000000000000000000000
deg: 6
c6: 1000
c0: 7
skew: 0.44
# Murphy_E = 2.329e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 98700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10027144 hash collisions in 58240501 relations (50262612 unique)
Msieve: matrix is 4667214 x 4667440 (1639.2 MB)

Sieving start time: 2020/03/09 03:07:22
Sieving end time  : 2020/03/11 03:17:51

Total sieving time: 48hrs 10min 29secs.

Total relation processing time: 10hrs 1min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 5sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149125] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283236K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2712K bss, 420224K reserved, 0K cma-reserved)
[    0.184569] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.72 BogoMIPS (lpj=11977448)
[    0.182219] smpboot: Total of 16 processors activated (95819.58 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:52:10 UTC 2012 年 8 月 22 日 (水) 5 時 52 分 10 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:52:10 UTC 2012 年 8 月 22 日 (水) 5 時 52 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:50 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 50 秒 (日本時間)

10221+7

c194

name 名前Alfred Reich
date 日付May 20, 2020 07:24:12 UTC 2020 年 5 月 20 日 (水) 16 時 24 分 12 秒 (日本時間)
composite number 合成数
36976012110099209828503425953965578455715624235204004173628050423736032762429077798145699564852588350058731454274457476343916284533277152774659380547089291557133009043342301660392089355776258881<194>
prime factors 素因数
109796969066724807252286241222125955613885497133345058739007422167392370554860479309642091221<93>
336767147803765756069231420409509123353412853223972796999802001336890207285939745725795310702623286461<102>
factorization results 素因数分解の結果
# gnfs-lasieve4i14e -v -f 9800000 -c 35200000 -o out -r poly
# msieve -i ini -s out -l log -nf fb -nc -t 32
# poly:
# n: 36976012110099209828503425953965578455715624235204004173628050423736032762429077798145699564852588350058731454274457476343916284533277152774659380547089291557133009043342301660392089355776258881
# m: 10000000000000000000000000000000000000
# deg: 6
# c6: 1
# c0: 70
# skew: 2.03
# Murphy_E = 2.341e-12
# type: snfs
# lss: 1
# rlim: 35000000
# alim: 35000000
# lpbr: 29
# lpba: 29
# mfbr: 58
# mfba: 58
# rlambda: 2.6
# alambda: 2.6
# fb:
# N 36976012110099209828503425953965578455715624235204004173628050423736032762429077798145699564852588350058731454274457476343916284533277152774659380547089291557133009043342301660392089355776258881
# SKEW 2.03
# A6 1
# A0 70
# R0 -10000000000000000000000000000000000000
# R1 1
# ini:
# 36976012110099209828503425953965578455715624235204004173628050423736032762429077798145699564852588350058731454274457476343916284533277152774659380547089291557133009043342301660392089355776258881
# p93-1 = 2*2*3*5*3079*60167*1328320781*7436491531576049428549952872719823555340684153221910186177133042830849239
# p93+1 = 2*13*3449*992107674127*17843566993953450978737*69164513190306150379815137179475759791635489530746897
# p102-1 = 2*2*5*31*340595777*1594772618212268276678581994173475593343908670876297073349578872223913190521896660480298429
# p102+1 = 2*3*7*6079*83497*19098915129365537*231130546061082961219*896353129983024677044139*3992383294063333979491543508341
Mon Nov 11 15:38:48 2019  
Mon Nov 11 15:38:48 2019  
Mon Nov 11 15:38:48 2019  Msieve v. 1.54 (SVN 1018)
Mon Nov 11 15:38:48 2019  random seeds: 03a586e0 dee4f032
Mon Nov 11 15:38:48 2019  factoring 36976012110099209828503425953965578455715624235204004173628050423736032762429077798145699564852588350058731454274457476343916284533277152774659380547089291557133009043342301660392089355776258881 (194 digits)
Mon Nov 11 15:38:48 2019  searching for 15-digit factors
Mon Nov 11 15:38:49 2019  commencing number field sieve (194-digit input)
Mon Nov 11 15:38:49 2019  R0: -10000000000000000000000000000000000000
Mon Nov 11 15:38:49 2019  R1: 1
Mon Nov 11 15:38:49 2019  A0: 70
Mon Nov 11 15:38:49 2019  A1: 0
Mon Nov 11 15:38:49 2019  A2: 0
Mon Nov 11 15:38:49 2019  A3: 0
Mon Nov 11 15:38:49 2019  A4: 0
Mon Nov 11 15:38:49 2019  A5: 0
Mon Nov 11 15:38:49 2019  A6: 1
Mon Nov 11 15:38:49 2019  skew 2.03, size 5.099e-011, alpha 0.808, combined = 2.084e-012 rroots = 0
Mon Nov 11 15:38:49 2019  
Mon Nov 11 15:38:49 2019  commencing relation filtering
Mon Nov 11 15:38:49 2019  estimated available RAM is 8051.3 MB
Mon Nov 11 15:38:49 2019  commencing duplicate removal, pass 1
Mon Nov 11 15:44:04 2019  found 1499928 hash collisions in 41153191 relations
Mon Nov 11 15:44:22 2019  added 1219289 free relations
Mon Nov 11 15:44:22 2019  commencing duplicate removal, pass 2
Mon Nov 11 15:44:44 2019  found 0 duplicates and 42372480 unique relations
Mon Nov 11 15:44:44 2019  memory use: 126.6 MB
Mon Nov 11 15:44:44 2019  reading ideals above 34930688
Mon Nov 11 15:44:44 2019  commencing singleton removal, initial pass
Mon Nov 11 15:49:15 2019  memory use: 1378.0 MB
Mon Nov 11 15:49:15 2019  reading all ideals from disk
Mon Nov 11 15:49:16 2019  memory use: 789.8 MB
Mon Nov 11 15:49:18 2019  commencing in-memory singleton removal
Mon Nov 11 15:49:20 2019  begin with 42372480 relations and 41010897 unique ideals
Mon Nov 11 15:49:38 2019  reduce to 20470418 relations and 16035532 ideals in 20 passes
Mon Nov 11 15:49:38 2019  max relations containing the same ideal: 29
Mon Nov 11 15:49:39 2019  reading ideals above 720000
Mon Nov 11 15:49:40 2019  commencing singleton removal, initial pass
Mon Nov 11 15:52:15 2019  memory use: 376.5 MB
Mon Nov 11 15:52:15 2019  reading all ideals from disk
Mon Nov 11 15:52:15 2019  memory use: 735.8 MB
Mon Nov 11 15:52:18 2019  keeping 20199713 ideals with weight <= 200, target excess is 118738
Mon Nov 11 15:52:20 2019  commencing in-memory singleton removal
Mon Nov 11 15:52:23 2019  begin with 20470437 relations and 20199713 unique ideals
Mon Nov 11 15:52:38 2019  reduce to 20467782 relations and 20196980 ideals in 9 passes
Mon Nov 11 15:52:38 2019  max relations containing the same ideal: 200
Mon Nov 11 15:52:49 2019  removing 962783 relations and 896250 ideals in 66533 cliques
Mon Nov 11 15:52:49 2019  commencing in-memory singleton removal
Mon Nov 11 15:52:51 2019  begin with 19504999 relations and 20196980 unique ideals
Mon Nov 11 15:53:09 2019  reduce to 19460346 relations and 19255824 ideals in 10 passes
Mon Nov 11 15:53:09 2019  max relations containing the same ideal: 197
Mon Nov 11 15:53:18 2019  removing 687118 relations and 620585 ideals in 66533 cliques
Mon Nov 11 15:53:19 2019  commencing in-memory singleton removal
Mon Nov 11 15:53:21 2019  begin with 18773228 relations and 19255824 unique ideals
Mon Nov 11 15:53:34 2019  reduce to 18750490 relations and 18612389 ideals in 8 passes
Mon Nov 11 15:53:34 2019  max relations containing the same ideal: 196
Mon Nov 11 15:53:46 2019  relations with 0 large ideals: 4877
Mon Nov 11 15:53:46 2019  relations with 1 large ideals: 146
Mon Nov 11 15:53:46 2019  relations with 2 large ideals: 3992
Mon Nov 11 15:53:46 2019  relations with 3 large ideals: 47376
Mon Nov 11 15:53:46 2019  relations with 4 large ideals: 312715
Mon Nov 11 15:53:46 2019  relations with 5 large ideals: 1250896
Mon Nov 11 15:53:46 2019  relations with 6 large ideals: 3119689
Mon Nov 11 15:53:46 2019  relations with 7+ large ideals: 14010799
Mon Nov 11 15:53:46 2019  commencing 2-way merge
Mon Nov 11 15:54:01 2019  reduce to 11380734 relation sets and 11242637 unique ideals
Mon Nov 11 15:54:01 2019  ignored 4 oversize relation sets
Mon Nov 11 15:54:01 2019  commencing full merge
Mon Nov 11 15:57:37 2019  memory use: 1400.3 MB
Mon Nov 11 15:57:40 2019  found 5953841 cycles, need 5946837
Mon Nov 11 15:57:40 2019  weight of 5946837 cycles is about 416612512 (70.06/cycle)
Mon Nov 11 15:57:40 2019  distribution of cycle lengths:
Mon Nov 11 15:57:40 2019  1 relations: 961439
Mon Nov 11 15:57:40 2019  2 relations: 830633
Mon Nov 11 15:57:40 2019  3 relations: 755392
Mon Nov 11 15:57:40 2019  4 relations: 631294
Mon Nov 11 15:57:40 2019  5 relations: 519729
Mon Nov 11 15:57:40 2019  6 relations: 427399
Mon Nov 11 15:57:40 2019  7 relations: 349485
Mon Nov 11 15:57:40 2019  8 relations: 279865
Mon Nov 11 15:57:40 2019  9 relations: 224334
Mon Nov 11 15:57:40 2019  10+ relations: 967267
Mon Nov 11 15:57:40 2019  heaviest cycle: 28 relations
Mon Nov 11 15:57:44 2019  commencing cycle optimization
Mon Nov 11 15:57:50 2019  start with 32782204 relations
Mon Nov 11 15:58:49 2019  pruned 711849 relations
Mon Nov 11 15:58:49 2019  memory use: 1096.2 MB
Mon Nov 11 15:58:49 2019  distribution of cycle lengths:
Mon Nov 11 15:58:49 2019  1 relations: 961439
Mon Nov 11 15:58:49 2019  2 relations: 847845
Mon Nov 11 15:58:49 2019  3 relations: 779642
Mon Nov 11 15:58:49 2019  4 relations: 641440
Mon Nov 11 15:58:49 2019  5 relations: 527481
Mon Nov 11 15:58:49 2019  6 relations: 428243
Mon Nov 11 15:58:49 2019  7 relations: 347774
Mon Nov 11 15:58:49 2019  8 relations: 275751
Mon Nov 11 15:58:49 2019  9 relations: 219875
Mon Nov 11 15:58:49 2019  10+ relations: 917347
Mon Nov 11 15:58:49 2019  heaviest cycle: 28 relations
Mon Nov 11 15:58:58 2019  RelProcTime: 1209
Mon Nov 11 15:58:58 2019  
Mon Nov 11 15:58:58 2019  commencing linear algebra
Mon Nov 11 15:58:59 2019  read 5946837 cycles
Mon Nov 11 15:59:07 2019  cycles contain 18564694 unique relations
Mon Nov 11 16:00:41 2019  read 18564694 relations
Mon Nov 11 16:01:11 2019  using 20 quadratic characters above 4294917295
Mon Nov 11 16:02:31 2019  building initial matrix
Mon Nov 11 16:05:03 2019  memory use: 2396.1 MB
Mon Nov 11 16:05:16 2019  read 5946837 cycles
Mon Nov 11 16:05:17 2019  matrix is 5946660 x 5946837 (1799.7 MB) with weight 535175158 (89.99/col)
Mon Nov 11 16:05:17 2019  sparse part has weight 406372017 (68.33/col)
Mon Nov 11 16:06:10 2019  filtering completed in 2 passes
Mon Nov 11 16:06:11 2019  matrix is 5944669 x 5944846 (1799.6 MB) with weight 535111149 (90.01/col)
Mon Nov 11 16:06:11 2019  sparse part has weight 406354116 (68.35/col)
Mon Nov 11 16:06:32 2019  matrix starts at (0, 0)
Mon Nov 11 16:06:33 2019  matrix is 5944669 x 5944846 (1799.6 MB) with weight 535111149 (90.01/col)
Mon Nov 11 16:06:33 2019  sparse part has weight 406354116 (68.35/col)
Mon Nov 11 16:06:33 2019  saving the first 48 matrix rows for later
Mon Nov 11 16:06:35 2019  matrix includes 64 packed rows
Mon Nov 11 16:06:35 2019  matrix is 5944621 x 5944846 (1729.8 MB) with weight 431106102 (72.52/col)
Mon Nov 11 16:06:35 2019  sparse part has weight 394019022 (66.28/col)
Mon Nov 11 16:06:35 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Mon Nov 11 16:06:54 2019  commencing Lanczos iteration
Mon Nov 11 16:06:54 2019  memory use: 1419.1 MB
Mon Nov 11 16:07:38 2019  lanczos halted after 17 iterations (dim = 1072)
Mon Nov 11 16:07:39 2019  BLanczosTime: 521
Mon Nov 11 16:07:39 2019  
Mon Nov 11 16:07:39 2019  commencing square root phase
Mon Nov 11 16:07:39 2019  reading relations for dependency 1
Mon Nov 11 16:07:39 2019  error: read_cycles can't open dependency file
Mon Nov 11 16:28:14 2019  
Mon Nov 11 16:28:14 2019  
Mon Nov 11 16:28:14 2019  Msieve v. 1.53 (SVN Nicht versioniertes Verzeichnis)
Mon Nov 11 16:28:14 2019  random seeds: 536c36e6 4fb49001
Mon Nov 11 16:28:14 2019  factoring 36976012110099209828503425953965578455715624235204004173628050423736032762429077798145699564852588350058731454274457476343916284533277152774659380547089291557133009043342301660392089355776258881 (194 digits)
Mon Nov 11 16:28:15 2019  no P-1/P+1/ECM available, skipping
Mon Nov 11 16:28:15 2019  commencing number field sieve (194-digit input)
Mon Nov 11 16:28:15 2019  R0: -10000000000000000000000000000000000000
Mon Nov 11 16:28:15 2019  R1: 1
Mon Nov 11 16:28:15 2019  A0: 70
Mon Nov 11 16:28:15 2019  A1: 0
Mon Nov 11 16:28:15 2019  A2: 0
Mon Nov 11 16:28:15 2019  A3: 0
Mon Nov 11 16:28:15 2019  A4: 0
Mon Nov 11 16:28:15 2019  A5: 0
Mon Nov 11 16:28:15 2019  A6: 1
Mon Nov 11 16:28:15 2019  skew 2.03, size 5.099e-11, alpha 0.808, combined = 2.084e-12 rroots = 0
Mon Nov 11 16:28:15 2019  
Mon Nov 11 16:28:15 2019  commencing linear algebra
Mon Nov 11 16:28:16 2019  matrix starts at (0, 0)
Mon Nov 11 16:28:18 2019  matrix is 5944669 x 5944846 (1799.6 MB) with weight 535111149 (90.01/col)
Mon Nov 11 16:28:18 2019  sparse part has weight 406354116 (68.35/col)
Mon Nov 11 16:28:18 2019  saving the first 48 matrix rows for later
Mon Nov 11 16:28:18 2019  matrix includes 64 packed rows
Mon Nov 11 16:28:19 2019  matrix is 5944621 x 5944846 (1729.8 MB) with weight 431106102 (72.52/col)
Mon Nov 11 16:28:19 2019  sparse part has weight 394019022 (66.28/col)
Mon Nov 11 16:28:19 2019  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Mon Nov 11 16:28:39 2019  commencing Lanczos iteration (32 threads)
Mon Nov 11 16:28:39 2019  memory use: 1419.8 MB
Mon Nov 11 16:28:39 2019  restarting at iteration 17 (dim = 1072)
Mon Nov 11 16:28:45 2019  checkpointing every 580000 dimensions
Mon Nov 11 16:28:49 2019  linear algebra at 0.0%, ETA 10h51m
Mon Nov 11 22:55:55 2019  lanczos halted after 73925 iterations (dim = 4674830)
Mon Nov 11 22:55:55 2019  BLanczosTime: 23260
Mon Nov 11 22:55:55 2019  elapsed time 06:27:41
Tue Nov 12 06:45:50 2019  
Tue Nov 12 06:45:50 2019  
Tue Nov 12 06:45:50 2019  Msieve v. 1.53 (SVN Nicht versioniertes Verzeichnis)
Tue Nov 12 06:45:50 2019  random seeds: 59be12db 0c771845
Tue Nov 12 06:45:50 2019  factoring 36976012110099209828503425953965578455715624235204004173628050423736032762429077798145699564852588350058731454274457476343916284533277152774659380547089291557133009043342301660392089355776258881 (194 digits)
Tue Nov 12 06:45:51 2019  no P-1/P+1/ECM available, skipping
Tue Nov 12 06:45:51 2019  commencing number field sieve (194-digit input)
Tue Nov 12 06:45:51 2019  R0: -10000000000000000000000000000000000000
Tue Nov 12 06:45:51 2019  R1: 1
Tue Nov 12 06:45:51 2019  A0: 70
Tue Nov 12 06:45:51 2019  A1: 0
Tue Nov 12 06:45:51 2019  A2: 0
Tue Nov 12 06:45:51 2019  A3: 0
Tue Nov 12 06:45:51 2019  A4: 0
Tue Nov 12 06:45:51 2019  A5: 0
Tue Nov 12 06:45:51 2019  A6: 1
Tue Nov 12 06:45:51 2019  skew 2.03, size 5.099e-11, alpha 0.808, combined = 2.084e-12 rroots = 0
Tue Nov 12 06:45:51 2019  
Tue Nov 12 06:45:51 2019  commencing linear algebra
Tue Nov 12 06:46:11 2019  matrix starts at (0, 0)
Tue Nov 12 06:46:12 2019  matrix is 5944669 x 5944846 (1799.6 MB) with weight 535111149 (90.01/col)
Tue Nov 12 06:46:12 2019  sparse part has weight 406354116 (68.35/col)
Tue Nov 12 06:46:12 2019  saving the first 48 matrix rows for later
Tue Nov 12 06:46:13 2019  matrix includes 64 packed rows
Tue Nov 12 06:46:14 2019  matrix is 5944621 x 5944846 (1729.8 MB) with weight 431106102 (72.52/col)
Tue Nov 12 06:46:14 2019  sparse part has weight 394019022 (66.28/col)
Tue Nov 12 06:46:14 2019  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Tue Nov 12 06:46:34 2019  commencing Lanczos iteration (32 threads)
Tue Nov 12 06:46:34 2019  memory use: 1419.8 MB
Tue Nov 12 06:46:37 2019  restarting at iteration 73925 (dim = 4674830)
Tue Nov 12 06:46:45 2019  checkpointing every 550000 dimensions
Tue Nov 12 06:46:47 2019  linear algebra at 78.7%, ETA 2h18m
Tue Nov 12 08:33:16 2019  lanczos halted after 94005 iterations (dim = 5944619)
Tue Nov 12 08:33:22 2019  recovered 37 nontrivial dependencies
Tue Nov 12 08:33:22 2019  BLanczosTime: 6451
Tue Nov 12 08:33:22 2019  elapsed time 01:47:32
Tue Nov 12 08:36:39 2019  
Tue Nov 12 08:36:39 2019  
Tue Nov 12 08:36:39 2019  Msieve v. 1.53 (SVN Nicht versioniertes Verzeichnis)
Tue Nov 12 08:36:39 2019  random seeds: 51ae6ebd a2283733
Tue Nov 12 08:36:39 2019  factoring 36976012110099209828503425953965578455715624235204004173628050423736032762429077798145699564852588350058731454274457476343916284533277152774659380547089291557133009043342301660392089355776258881 (194 digits)
Tue Nov 12 08:36:40 2019  no P-1/P+1/ECM available, skipping
Tue Nov 12 08:36:40 2019  commencing number field sieve (194-digit input)
Tue Nov 12 08:36:40 2019  R0: -10000000000000000000000000000000000000
Tue Nov 12 08:36:40 2019  R1: 1
Tue Nov 12 08:36:40 2019  A0: 70
Tue Nov 12 08:36:40 2019  A1: 0
Tue Nov 12 08:36:40 2019  A2: 0
Tue Nov 12 08:36:40 2019  A3: 0
Tue Nov 12 08:36:40 2019  A4: 0
Tue Nov 12 08:36:40 2019  A5: 0
Tue Nov 12 08:36:40 2019  A6: 1
Tue Nov 12 08:36:40 2019  skew 2.03, size 5.099e-11, alpha 0.808, combined = 2.084e-12 rroots = 0
Tue Nov 12 08:36:40 2019  
Tue Nov 12 08:36:40 2019  commencing square root phase
Tue Nov 12 08:36:40 2019  handling dependencies 1 to 2
Tue Nov 12 08:36:40 2019  reading relations for dependency 1
Tue Nov 12 08:36:42 2019  read 2972146 cycles
Tue Nov 12 08:36:46 2019  cycles contain 9282946 unique relations
Tue Nov 12 08:38:07 2019  read 9282946 relations
Tue Nov 12 08:38:50 2019  multiplying 9282946 relations
Tue Nov 12 08:44:32 2019  multiply complete, coefficients have about 227.98 million bits
Tue Nov 12 08:44:33 2019  initial square root is modulo 151890787
Tue Nov 12 08:51:15 2019  sqrtTime: 875
Tue Nov 12 08:51:15 2019  p93 factor: 109796969066724807252286241222125955613885497133345058739007422167392370554860479309642091221
Tue Nov 12 08:51:15 2019  p102 factor: 336767147803765756069231420409509123353412853223972796999802001336890207285939745725795310702623286461
Tue Nov 12 08:51:15 2019  elapsed time 00:14:36

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:51:41 UTC 2012 年 8 月 22 日 (水) 5 時 51 分 41 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:51:41 UTC 2012 年 8 月 22 日 (水) 5 時 51 分 41 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:51 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 51 秒 (日本時間)

10223+7

c202

name 名前Dmitry Domanov
date 日付August 18, 2012 11:26:56 UTC 2012 年 8 月 18 日 (土) 20 時 26 分 56 秒 (日本時間)
composite number 合成数
5535629555300628155283089750897936454089688731039098443067054092482266630344273972261515964589638689632479713337797264576403663169708951326270813780365020541060032583364730037351283337577443494469138771<202>
prime factors 素因数
23608631583440984968143928125793<32>
154831267666812370374197199595087577<36>
135208833217523044778509513488652316131<39>
11200372582398659757242356085117408795296701536981641593627856934032594452887405119499842206197081<98>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=257754221
Step 1 took 38013ms
********** Factor found in step 1: 23608631583440984968143928125793
Found probable prime factor of 32 digits: 23608631583440984968143928125793

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2329292815
Step 1 took 27605ms
Step 2 took 10518ms
********** Factor found in step 2: 135208833217523044778509513488652316131
Found probable prime factor of 39 digits: 135208833217523044778509513488652316131

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3049764589
Step 1 took 19217ms
Step 2 took 8279ms
********** Factor found in step 2: 154831267666812370374197199595087577
Found probable prime factor of 36 digits: 154831267666812370374197199595087577

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)

10224+7

c179

name 名前Dmitry Domanov
date 日付August 22, 2012 12:07:26 UTC 2012 年 8 月 22 日 (水) 21 時 7 分 26 秒 (日本時間)
composite number 合成数
88317025471633025924463689635174376171337351274301315007176617465793127571924041717672566781854042506472079811711710722416570733610186063076588043489325856188230292668412111140281<179>
prime factors 素因数
195373415167509611477165496726227430917<39>
452042184940625699529132389337841585889009252782965391126275899046421180084120105694675787295311498304502491783893067536729288305217106445093<141>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2727197454
Step 1 took 90769ms
Step 2 took 29835ms
********** Factor found in step 2: 195373415167509611477165496726227430917
Found probable prime factor of 39 digits: 195373415167509611477165496726227430917

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:51:12 UTC 2012 年 8 月 22 日 (水) 5 時 51 分 12 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovAugust 21, 2012 20:51:12 UTC 2012 年 8 月 22 日 (水) 5 時 51 分 12 秒 (日本時間)

10225+7

c203

name 名前Serge Batalov
date 日付August 18, 2012 02:28:57 UTC 2012 年 8 月 18 日 (土) 11 時 28 分 57 秒 (日本時間)
composite number 合成数
14513687165848258623035740799036346697648893245048000388485210098964483654176009453701291176657031038992932349512496826602085932918471841842270978454971725073413787113284408382543981424694940514604590339<203>
prime factors 素因数
3024741680222468129025596184654851<34>
4798322865303586755458374904420412240347855307014486989043166588086773144805586388896429121582198108053397673156778728147963096034113752110283818455566908128712502098689<169>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2319470202
Step 1 took 11317ms
Step 2 took 7108ms
********** Factor found in step 2: 3024741680222468129025596184654851
Found probable prime factor of 34 digits: 3024741680222468129025596184654851
Probable prime cofactor 4798322865303586755458374904420412240347855307014486989043166588086773144805586388896429121582198108053397673156778728147963096034113752110283818455566908128712502098689 has 169 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)

10226+7

c222

name 名前Dmitry Domanov
date 日付August 22, 2012 12:04:10 UTC 2012 年 8 月 22 日 (水) 21 時 4 分 10 秒 (日本時間)
composite number 合成数
111213674833457521936897360899496202053004437425625854955125282204699889898461914877053282471612709498759967525606948630403594425970617347109000522704271717250353103417596227632149649120855900441518289088826362089482522771<222>
prime factors 素因数
100813062531644703227533067374103481627811759<45>
1103167308289519722265743388103169549571636407081628900530816960584054418468092100012792593274233423431242369532433355651407775269040555579105879762845827125892291376480279384669<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4209918557
Step 1 took 129455ms
Step 2 took 28949ms
********** Factor found in step 2: 100813062531644703227533067374103481627811759
Found probable prime factor of 45 digits: 100813062531644703227533067374103481627811759

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
786suberiAugust 20, 2012 12:03:53 UTC 2012 年 8 月 20 日 (月) 21 時 3 分 53 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:49:10 UTC 2012 年 8 月 22 日 (水) 5 時 49 分 10 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovAugust 21, 2012 20:49:10 UTC 2012 年 8 月 22 日 (水) 5 時 49 分 10 秒 (日本時間)

10227+7

c189

name 名前Alfred Reich
date 日付May 24, 2020 07:01:23 UTC 2020 年 5 月 24 日 (日) 16 時 1 分 23 秒 (日本時間)
composite number 合成数
177784947821169995532239859537945919334259528868111708188310836787795582821436743077246580613241539204859433554239766835390696428829806758460997040460436002702521994230961314880665753019083<189>
prime factors 素因数
7176128213926731936532284544873874945971494208111389258219916637882103647941022633207<85>
24774494340296520063812959948398370054225033741903326009773448004914771820557436959162513258067699435469<104>
factorization results 素因数分解の結果
# p85-1 = 2 * 41 * 191 * 4217 * 1787659 * 60779159379804606789198467570599374125945363184396335737849680516744271
# p85+1 = 2 * 2 * 2 * 3 * 103 * 3083 * 8219 * 609509 * 2076602031833930537009901109 * 90514013099572053700707050140739510502547
# p104-1 = 2 * 2 * 397 * 54731286011 * 477079988716699565448425490751 * 597485606968487760652933233866894690919286254216070679259251
# p104+1 = 2 * 3 * 5 * 1307405322323550247332421 * 734920473005780797292859741270943 * 859474408709329786402631493274164843943726283
# siever: ggnfs-lasieve4I14e = g
# sieving range: 9M .. 52M rational side, 10M .. 11M algebraic side, 20M .. 21M algebraic side.
# g -v -f 9000000 -c 43000000 -o out -r poly
# g -v -f 10000000 -c 1000000 -o out1 -a poly
# g -v -f 20000000 -c 1000000 -o out2 -a poly
# msieve -i ini -s out+out1+out2 -l log -nf fb -t 32 -nc
# poly:
# n: 177784947821169995532239859537945919334259528868111708188310836787795582821436743077246580613241539204859433554239766835390696428829806758460997040460436002702521994230961314880665753019083
# m: 100000000000000000000000000000000000000
# c6: 1
# c0: 70
# skew: 2.03
# Murphy_E = 1.462e-12
# type: snfs
# lss: 1
# rlim: 44000000
# alim: 44000000
# lpbr: 30
# lpba: 30
# mfbr: 59
# mfba: 59
# rlambda: 2.7
# alambda: 2.7
# fb:
# N 177784947821169995532239859537945919334259528868111708188310836787795582821436743077246580613241539204859433554239766835390696428829806758460997040460436002702521994230961314880665753019083
# SKEW 2.03
# A6 1
# A0 70
# R0 -100000000000000000000000000000000000000
# R1 1
# ini:
# 177784947821169995532239859537945919334259528868111708188310836787795582821436743077246580613241539204859433554239766835390696428829806758460997040460436002702521994230961314880665753019083
Mon May 04 10:05:50 2020
Mon May 04 10:05:50 2020
Mon May 04 10:05:50 2020  Msieve v. 1.54 (SVN 1018)
Mon May 04 10:05:50 2020  random seeds: fdcc4680 7751ea3b
Mon May 04 10:05:50 2020  factoring 177784947821169995532239859537945919334259528868111708188310836787795582821436743077246580613241539204859433554239766835390696428829806758460997040460436002702521994230961314880665753019083 (189 digits)
Mon May 04 10:05:50 2020  searching for 15-digit factors
Mon May 04 10:05:51 2020  commencing number field sieve (189-digit input)
Mon May 04 10:05:51 2020  R0: -100000000000000000000000000000000000000
Mon May 04 10:05:51 2020  R1: 1
Mon May 04 10:05:51 2020  A0: 70
Mon May 04 10:05:51 2020  A1: 0
Mon May 04 10:05:51 2020  A2: 0
Mon May 04 10:05:51 2020  A3: 0
Mon May 04 10:05:51 2020  A4: 0
Mon May 04 10:05:51 2020  A5: 0
Mon May 04 10:05:51 2020  A6: 1
Mon May 04 10:05:51 2020  skew 2.03, size 2.641e-011, alpha 0.808, combined = 1.300e-012 rroots = 0
Mon May 04 10:05:51 2020
Mon May 04 10:05:51 2020  commencing relation filtering
Mon May 04 10:05:51 2020  setting target matrix density to 120.0
Mon May 04 10:05:51 2020  estimated available RAM is 8051.3 MB
Mon May 04 10:05:51 2020  commencing duplicate removal, pass 1
Mon May 04 10:15:10 2020  found 2512993 hash collisions in 75162016 relations
Mon May 04 10:15:27 2020  added 1219300 free relations
Mon May 04 10:15:27 2020  commencing duplicate removal, pass 2
Mon May 04 10:16:14 2020  found 0 duplicates and 76381316 unique relations
Mon May 04 10:16:14 2020  memory use: 194.6 MB
Mon May 04 10:16:14 2020  reading ideals above 51838976
Mon May 04 10:16:14 2020  commencing singleton removal, initial pass
Mon May 04 10:23:34 2020  memory use: 1506.0 MB
Mon May 04 10:23:34 2020  reading all ideals from disk
Mon May 04 10:23:35 2020  memory use: 1353.1 MB
Mon May 04 10:23:38 2020  commencing in-memory singleton removal
Mon May 04 10:23:40 2020  begin with 76381316 relations and 74785722 unique ideals
Mon May 04 10:24:05 2020  reduce to 34253378 relations and 26520645 ideals in 19 passes
Mon May 04 10:24:05 2020  max relations containing the same ideal: 32
Mon May 04 10:24:07 2020  reading ideals above 720000
Mon May 04 10:24:07 2020  commencing singleton removal, initial pass
Mon May 04 10:28:15 2020  memory use: 753.0 MB
Mon May 04 10:28:15 2020  reading all ideals from disk
Mon May 04 10:28:16 2020  memory use: 1255.1 MB
Mon May 04 10:28:20 2020  keeping 32545795 ideals with weight <= 200, target excess is 180514
Mon May 04 10:28:22 2020  commencing in-memory singleton removal
Mon May 04 10:28:26 2020  begin with 34253387 relations and 32545795 unique ideals
Mon May 04 10:29:01 2020  reduce to 34241928 relations and 32534300 ideals in 14 passes
Mon May 04 10:29:01 2020  max relations containing the same ideal: 200
Mon May 04 10:29:17 2020  removing 3730192 relations and 3330192 ideals in 400000 cliques
Mon May 04 10:29:18 2020  commencing in-memory singleton removal
Mon May 04 10:29:21 2020  begin with 30511736 relations and 32534300 unique ideals
Mon May 04 10:29:44 2020  reduce to 30131330 relations and 28816950 ideals in 10 passes
Mon May 04 10:29:44 2020  max relations containing the same ideal: 193
Mon May 04 10:29:57 2020  removing 2782390 relations and 2382390 ideals in 400000 cliques
Mon May 04 10:29:58 2020  commencing in-memory singleton removal
Mon May 04 10:30:01 2020  begin with 27348940 relations and 28816950 unique ideals
Mon May 04 10:30:19 2020  reduce to 27116879 relations and 26199135 ideals in 9 passes
Mon May 04 10:30:19 2020  max relations containing the same ideal: 179
Mon May 04 10:30:31 2020  removing 2484568 relations and 2084568 ideals in 400000 cliques
Mon May 04 10:30:32 2020  commencing in-memory singleton removal
Mon May 04 10:30:34 2020  begin with 24632311 relations and 26199135 unique ideals
Mon May 04 10:30:50 2020  reduce to 24429608 relations and 23908853 ideals in 9 passes
Mon May 04 10:30:50 2020  max relations containing the same ideal: 167
Mon May 04 10:31:01 2020  removing 1907226 relations and 1595868 ideals in 311358 cliques
Mon May 04 10:31:02 2020  commencing in-memory singleton removal
Mon May 04 10:31:04 2020  begin with 22522382 relations and 23908853 unique ideals
Mon May 04 10:31:19 2020  reduce to 22396338 relations and 22185483 ideals in 9 passes
Mon May 04 10:31:19 2020  max relations containing the same ideal: 162
Mon May 04 10:31:32 2020  relations with 0 large ideals: 6910
Mon May 04 10:31:32 2020  relations with 1 large ideals: 933
Mon May 04 10:31:32 2020  relations with 2 large ideals: 10609
Mon May 04 10:31:32 2020  relations with 3 large ideals: 111033
Mon May 04 10:31:32 2020  relations with 4 large ideals: 634177
Mon May 04 10:31:32 2020  relations with 5 large ideals: 2172271
Mon May 04 10:31:32 2020  relations with 6 large ideals: 4603951
Mon May 04 10:31:32 2020  relations with 7+ large ideals: 14856454
Mon May 04 10:31:32 2020  commencing 2-way merge
Mon May 04 10:31:47 2020  reduce to 13323702 relation sets and 13112847 unique ideals
Mon May 04 10:31:47 2020  commencing full merge
Mon May 04 10:41:56 2020  memory use: 604.3 MB
Mon May 04 10:41:56 2020  found 41178 cycles, need 2759714
Mon May 04 10:41:56 2020  too few cycles, matrix probably cannot build
Mon May 04 10:44:08 2020
Mon May 04 10:44:08 2020
Mon May 04 10:44:08 2020  Msieve v. 1.54 (SVN 1018)
Mon May 04 10:44:08 2020  random seeds: 67116330 2fe05b2d
Mon May 04 10:44:08 2020  factoring 177784947821169995532239859537945919334259528868111708188310836787795582821436743077246580613241539204859433554239766835390696428829806758460997040460436002702521994230961314880665753019083 (189 digits)
Mon May 04 10:44:09 2020  searching for 15-digit factors
Mon May 04 10:44:09 2020  commencing number field sieve (189-digit input)
Mon May 04 10:44:09 2020  R0: -100000000000000000000000000000000000000
Mon May 04 10:44:09 2020  R1: 1
Mon May 04 10:44:09 2020  A0: 70
Mon May 04 10:44:09 2020  A1: 0
Mon May 04 10:44:09 2020  A2: 0
Mon May 04 10:44:09 2020  A3: 0
Mon May 04 10:44:09 2020  A4: 0
Mon May 04 10:44:09 2020  A5: 0
Mon May 04 10:44:09 2020  A6: 1
Mon May 04 10:44:09 2020  skew 2.03, size 2.641e-011, alpha 0.808, combined = 1.300e-012 rroots = 0
Mon May 04 10:44:09 2020
Mon May 04 10:44:09 2020  commencing relation filtering
Mon May 04 10:44:09 2020  setting target matrix density to 90.0
Mon May 04 10:44:09 2020  estimated available RAM is 8051.3 MB
Mon May 04 10:44:09 2020  commencing duplicate removal, pass 1
Mon May 04 10:53:48 2020  found 2592535 hash collisions in 76381316 relations
Mon May 04 10:53:57 2020  commencing duplicate removal, pass 2
Mon May 04 10:54:42 2020  found 0 duplicates and 76381316 unique relations
Mon May 04 10:54:42 2020  memory use: 253.2 MB
Mon May 04 10:54:42 2020  reading ideals above 51838976
Mon May 04 10:54:42 2020  commencing singleton removal, initial pass
Mon May 04 11:01:56 2020  memory use: 1506.0 MB
Mon May 04 11:01:56 2020  reading all ideals from disk
Mon May 04 11:01:57 2020  memory use: 1353.1 MB
Mon May 04 11:01:59 2020  commencing in-memory singleton removal
Mon May 04 11:02:02 2020  begin with 76381316 relations and 74785722 unique ideals
Mon May 04 11:02:26 2020  reduce to 34253378 relations and 26520645 ideals in 19 passes
Mon May 04 11:02:26 2020  max relations containing the same ideal: 32
Mon May 04 11:02:28 2020  reading ideals above 720000
Mon May 04 11:02:28 2020  commencing singleton removal, initial pass
Mon May 04 11:06:40 2020  memory use: 753.0 MB
Mon May 04 11:06:40 2020  reading all ideals from disk
Mon May 04 11:06:40 2020  memory use: 1255.1 MB
Mon May 04 11:06:44 2020  keeping 32545795 ideals with weight <= 200, target excess is 180514
Mon May 04 11:06:47 2020  commencing in-memory singleton removal
Mon May 04 11:06:50 2020  begin with 34253387 relations and 32545795 unique ideals
Mon May 04 11:07:26 2020  reduce to 34241928 relations and 32534300 ideals in 14 passes
Mon May 04 11:07:26 2020  max relations containing the same ideal: 200
Mon May 04 11:07:41 2020  removing 3730192 relations and 3330192 ideals in 400000 cliques
Mon May 04 11:07:42 2020  commencing in-memory singleton removal
Mon May 04 11:07:45 2020  begin with 30511736 relations and 32534300 unique ideals
Mon May 04 11:08:07 2020  reduce to 30131330 relations and 28816950 ideals in 10 passes
Mon May 04 11:08:07 2020  max relations containing the same ideal: 193
Mon May 04 11:08:21 2020  removing 2782390 relations and 2382390 ideals in 400000 cliques
Mon May 04 11:08:21 2020  commencing in-memory singleton removal
Mon May 04 11:08:24 2020  begin with 27348940 relations and 28816950 unique ideals
Mon May 04 11:08:42 2020  reduce to 27116879 relations and 26199135 ideals in 9 passes
Mon May 04 11:08:42 2020  max relations containing the same ideal: 179
Mon May 04 11:08:54 2020  removing 2484568 relations and 2084568 ideals in 400000 cliques
Mon May 04 11:08:55 2020  commencing in-memory singleton removal
Mon May 04 11:08:57 2020  begin with 24632311 relations and 26199135 unique ideals
Mon May 04 11:09:13 2020  reduce to 24429608 relations and 23908853 ideals in 9 passes
Mon May 04 11:09:13 2020  max relations containing the same ideal: 167
Mon May 04 11:09:24 2020  removing 1907226 relations and 1595868 ideals in 311358 cliques
Mon May 04 11:09:25 2020  commencing in-memory singleton removal
Mon May 04 11:09:27 2020  begin with 22522382 relations and 23908853 unique ideals
Mon May 04 11:09:42 2020  reduce to 22396338 relations and 22185483 ideals in 9 passes
Mon May 04 11:09:42 2020  max relations containing the same ideal: 162
Mon May 04 11:09:55 2020  relations with 0 large ideals: 6910
Mon May 04 11:09:55 2020  relations with 1 large ideals: 933
Mon May 04 11:09:55 2020  relations with 2 large ideals: 10609
Mon May 04 11:09:55 2020  relations with 3 large ideals: 111033
Mon May 04 11:09:55 2020  relations with 4 large ideals: 634177
Mon May 04 11:09:55 2020  relations with 5 large ideals: 2172271
Mon May 04 11:09:55 2020  relations with 6 large ideals: 4603951
Mon May 04 11:09:55 2020  relations with 7+ large ideals: 14856454
Mon May 04 11:09:55 2020  commencing 2-way merge
Mon May 04 11:10:10 2020  reduce to 13323702 relation sets and 13112847 unique ideals
Mon May 04 11:10:10 2020  commencing full merge
Mon May 04 11:14:12 2020  memory use: 1698.9 MB
Mon May 04 11:14:14 2020  found 6410824 cycles, need 6403047
Mon May 04 11:14:14 2020  weight of 6403047 cycles is about 576621490 (90.05/cycle)
Mon May 04 11:14:14 2020  distribution of cycle lengths:
Mon May 04 11:14:14 2020  1 relations: 714753
Mon May 04 11:14:14 2020  2 relations: 652222
Mon May 04 11:14:14 2020  3 relations: 621946
Mon May 04 11:14:14 2020  4 relations: 570314
Mon May 04 11:14:14 2020  5 relations: 517566
Mon May 04 11:14:14 2020  6 relations: 466941
Mon May 04 11:14:14 2020  7 relations: 416565
Mon May 04 11:14:14 2020  8 relations: 365798
Mon May 04 11:14:14 2020  9 relations: 328085
Mon May 04 11:14:14 2020  10+ relations: 1748857
Mon May 04 11:14:14 2020  heaviest cycle: 28 relations
Mon May 04 11:14:18 2020  commencing cycle optimization
Mon May 04 11:14:26 2020  start with 44984302 relations
Mon May 04 11:15:43 2020  pruned 1249361 relations
Mon May 04 11:15:43 2020  memory use: 1377.2 MB
Mon May 04 11:15:43 2020  distribution of cycle lengths:
Mon May 04 11:15:43 2020  1 relations: 714753
Mon May 04 11:15:43 2020  2 relations: 665616
Mon May 04 11:15:43 2020  3 relations: 642858
Mon May 04 11:15:43 2020  4 relations: 584103
Mon May 04 11:15:43 2020  5 relations: 532346
Mon May 04 11:15:43 2020  6 relations: 475908
Mon May 04 11:15:43 2020  7 relations: 424066
Mon May 04 11:15:43 2020  8 relations: 370960
Mon May 04 11:15:43 2020  9 relations: 330000
Mon May 04 11:15:43 2020  10+ relations: 1662437
Mon May 04 11:15:43 2020  heaviest cycle: 28 relations
Mon May 04 11:15:51 2020  RelProcTime: 1902
Mon May 04 11:15:51 2020
Mon May 04 11:15:51 2020  commencing linear algebra
Mon May 04 11:15:52 2020  read 6403047 cycles
Mon May 04 11:16:02 2020  cycles contain 22174345 unique relations
Mon May 04 11:18:04 2020  read 22174345 relations
Mon May 04 11:18:37 2020  using 20 quadratic characters above 4294917295
Mon May 04 11:20:12 2020  building initial matrix
Mon May 04 11:23:26 2020  memory use: 2839.9 MB
Mon May 04 11:23:37 2020  read 6403047 cycles
Mon May 04 11:23:38 2020  matrix is 6402870 x 6403047 (2386.1 MB) with weight 704509511 (110.03/col)
Mon May 04 11:23:38 2020  sparse part has weight 555080768 (86.69/col)
Mon May 04 11:24:30 2020  filtering completed in 2 passes
Mon May 04 11:24:31 2020  matrix is 6402211 x 6402388 (2386.1 MB) with weight 704488286 (110.04/col)
Mon May 04 11:24:31 2020  sparse part has weight 555075348 (86.70/col)
Mon May 04 11:24:54 2020  matrix starts at (0, 0)
Mon May 04 11:24:55 2020  matrix is 6402211 x 6402388 (2386.1 MB) with weight 704488286 (110.04/col)
Mon May 04 11:24:55 2020  sparse part has weight 555075348 (86.70/col)
Mon May 04 11:24:55 2020  saving the first 48 matrix rows for later
Mon May 04 11:24:57 2020  matrix includes 64 packed rows
Mon May 04 11:24:57 2020  matrix is 6402163 x 6402388 (2299.1 MB) with weight 587555027 (91.77/col)
Mon May 04 11:24:57 2020  sparse part has weight 538660073 (84.13/col)
Mon May 04 11:24:57 2020  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Mon May 04 11:25:22 2020  commencing Lanczos iteration (32 threads)
Mon May 04 11:25:22 2020  memory use: 1913.5 MB
Mon May 04 11:25:47 2020  linear algebra at 0.0%, ETA 28h 6m
Mon May 04 11:25:54 2020  checkpointing every 240000 dimensions
Mon May 04 11:51:02 2020  lanczos halted after 1578 iterations (dim = 99819)
Mon May 04 11:51:03 2020  BLanczosTime: 2112
Mon May 04 11:51:03 2020
Mon May 04 11:51:03 2020  commencing square root phase
Mon May 04 11:51:03 2020  handling dependencies 1 to 64
Mon May 04 11:51:03 2020  reading relations for dependency 1
Mon May 04 11:51:03 2020  error: read_cycles can't open dependency file
Mon May 04 12:06:51 2020
Mon May 04 12:06:51 2020
Mon May 04 12:06:51 2020  Msieve v. 1.54 (SVN 1018)
Mon May 04 12:06:51 2020  random seeds: b9645d60 da2b509f
Mon May 04 12:06:51 2020  factoring 177784947821169995532239859537945919334259528868111708188310836787795582821436743077246580613241539204859433554239766835390696428829806758460997040460436002702521994230961314880665753019083 (189 digits)
Mon May 04 12:06:54 2020  searching for 15-digit factors
Mon May 04 12:06:55 2020  commencing number field sieve (189-digit input)
Mon May 04 12:06:55 2020  R0: -100000000000000000000000000000000000000
Mon May 04 12:06:55 2020  R1: 1
Mon May 04 12:06:55 2020  A0: 70
Mon May 04 12:06:55 2020  A1: 0
Mon May 04 12:06:55 2020  A2: 0
Mon May 04 12:06:55 2020  A3: 0
Mon May 04 12:06:55 2020  A4: 0
Mon May 04 12:06:55 2020  A5: 0
Mon May 04 12:06:55 2020  A6: 1
Mon May 04 12:06:55 2020  skew 2.03, size 2.641e-011, alpha 0.808, combined = 1.300e-012 rroots = 0
Mon May 04 12:06:55 2020
Mon May 04 12:06:55 2020  commencing linear algebra
Mon May 04 12:06:58 2020  matrix starts at (0, 0)
Mon May 04 12:07:00 2020  matrix is 6402211 x 6402388 (2386.1 MB) with weight 704488286 (110.04/col)
Mon May 04 12:07:00 2020  sparse part has weight 555075348 (86.70/col)
Mon May 04 12:07:00 2020  saving the first 48 matrix rows for later
Mon May 04 12:07:02 2020  matrix includes 64 packed rows
Mon May 04 12:07:03 2020  matrix is 6402163 x 6402388 (2299.1 MB) with weight 587555027 (91.77/col)
Mon May 04 12:07:03 2020  sparse part has weight 538660073 (84.13/col)
Mon May 04 12:07:03 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Mon May 04 12:07:36 2020  commencing Lanczos iteration (32 threads)
Mon May 04 12:07:36 2020  memory use: 1913.5 MB
Mon May 04 12:07:36 2020  restarting at iteration 1578 (dim = 99819)
Mon May 04 12:07:55 2020  linear algebra at 1.6%, ETA 21h52m
Mon May 04 12:08:04 2020  checkpointing every 290000 dimensions
Tue May 05 09:23:48 2020  lanczos halted after 101246 iterations (dim = 6402163)
Tue May 05 09:23:57 2020  recovered 40 nontrivial dependencies
Tue May 05 09:23:59 2020  BLanczosTime: 76624
Tue May 05 09:23:59 2020  elapsed time 21:17:08
Tue May 05 10:04:15 2020
Tue May 05 10:04:15 2020
Tue May 05 10:04:15 2020  Msieve v. 1.54 (SVN 1018)
Tue May 05 10:04:15 2020  random seeds: 2cb94af8 a9c664f4
Tue May 05 10:04:15 2020  factoring 177784947821169995532239859537945919334259528868111708188310836787795582821436743077246580613241539204859433554239766835390696428829806758460997040460436002702521994230961314880665753019083 (189 digits)
Tue May 05 10:04:16 2020  searching for 15-digit factors
Tue May 05 10:04:16 2020  commencing number field sieve (189-digit input)
Tue May 05 10:04:16 2020  R0: -100000000000000000000000000000000000000
Tue May 05 10:04:16 2020  R1: 1
Tue May 05 10:04:16 2020  A0: 70
Tue May 05 10:04:16 2020  A1: 0
Tue May 05 10:04:16 2020  A2: 0
Tue May 05 10:04:16 2020  A3: 0
Tue May 05 10:04:16 2020  A4: 0
Tue May 05 10:04:16 2020  A5: 0
Tue May 05 10:04:16 2020  A6: 1
Tue May 05 10:04:16 2020  skew 2.03, size 2.641e-011, alpha 0.808, combined = 1.300e-012 rroots = 0
Tue May 05 10:04:16 2020
Tue May 05 10:04:16 2020  commencing square root phase
Tue May 05 10:04:16 2020  reading relations for dependency 1
Tue May 05 10:04:18 2020  read 3201728 cycles
Tue May 05 10:04:25 2020  cycles contain 11089930 unique relations
Tue May 05 10:06:19 2020  read 11089930 relations
Tue May 05 10:07:30 2020  multiplying 11089930 relations
Tue May 05 10:17:28 2020  multiply complete, coefficients have about 273.32 million bits
Tue May 05 10:17:30 2020  initial square root is modulo 80239
Tue May 05 10:28:03 2020  sqrtTime: 1427
Tue May 05 10:28:03 2020  p85 factor: 7176128213926731936532284544873874945971494208111389258219916637882103647941022633207
Tue May 05 10:28:03 2020  p104 factor: 24774494340296520063812959948398370054225033741903326009773448004914771820557436959162513258067699435469
Tue May 05 10:28:03 2020  elapsed time 00:23:48

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:50:58 UTC 2012 年 8 月 22 日 (水) 5 時 50 分 58 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:50:58 UTC 2012 年 8 月 22 日 (水) 5 時 50 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:51 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 51 秒 (日本時間)

10228+7

c222

name 名前Alfred Reich
date 日付May 28, 2020 10:44:04 UTC 2020 年 5 月 28 日 (木) 19 時 44 分 4 秒 (日本時間)
composite number 合成数
116189617272562600351520068096410891103488814018881509944495057932724120186075348269663553210952358655040113884415265874958360545909945378099023995595948746900787196275983338873641583613359993428315247063859324118024948467<222>
prime factors 素因数
20396537676324779950734503236040145976740152833<47>
13250598065020373056579248190853585234279418727543835059560992747<65>
429907863199483743800562293002630474940556602525380163030014632247505757816515474289369784048573893770977960217<111>
factorization results 素因数分解の結果
# siever: gnfs-lasieve4I14e = g
# g -v -f 3000000 -c 50000000 -o out -r poly
# msieve -i ini -s out -l log -nf fb -nc "target_density=86"
# poly:
# n: 116189617272562600351520068096410891103488814018881509944495057932724120186075348269663553210952358655040113884415265874958360545909945378099023995595948746900787196275983338873641583613359993428315247063859324118024948467
# m: 100000000000000000000000000000000000000
# deg: 6
# c6: 1
# c0: 7
# skew: 1.84732
# cownoise 1.84732
# cownoise: Murphy_E: 1.25406129e-12
# type: snfs
# lss: 1
# rlim: 44000000
# alim: 44000000
# lpbr: 30
# lpba: 30
# mfbr: 59
# mfba: 59
# rlambda: 2.7
# alambda: 2.7
# fb:
# N 116189617272562600351520068096410891103488814018881509944495057932724120186075348269663553210952358655040113884415265874958360545909945378099023995595948746900787196275983338873641583613359993428315247063859324118024948467
# SKEW 1.85
# R0 -100000000000000000000000000000000000000
# R1 1
# A6 1
# A0 7
# ini:
# 116189617272562600351520068096410891103488814018881509944495057932724120186075348269663553210952358655040113884415265874958360545909945378099023995595948746900787196275983338873641583613359993428315247063859324118024948467
# p47-1 = 2^9 * 3 * 7 * 89 * 8442103889 * 2524797184862594348447335906271
# p47+1 = 2 * 289853 * 35184279059255519091978525728628211501589
# p65-1 = 2 * 7 * 11 * 97 * 619 * 11551 * 109257959 * 1135480575497263678670811697183589880273275027
# p65+1 = 2^2 * 3^2 * 13 * 2557 * 408637 * 206271718837465373436517 * 131365560966752290948169402987
# p111-1 = 2^3 * 1202244313 * 6040885787773 * 1418009878625413 * 26321007434136676828558870836647 * 198248669438999068758718455366648996407293
# p111+1 = 2 * 3^2 * 11 * 735061 * 145888906872507897597673 * 46262046196602572658029028872950094701 * 437662875248550805965981000677689799972647
Tue May 19 20:40:48 2020  
Tue May 19 20:40:48 2020  
Tue May 19 20:40:48 2020  Msieve v. 1.54 (SVN 1018)
Tue May 19 20:40:48 2020  random seeds: 360fd910 a00ddf32
Tue May 19 20:40:48 2020  factoring 116189617272562600351520068096410891103488814018881509944495057932724120186075348269663553210952358655040113884415265874958360545909945378099023995595948746900787196275983338873641583613359993428315247063859324118024948467 (222 digits)
Tue May 19 20:40:48 2020  searching for 15-digit factors
Tue May 19 20:40:49 2020  commencing number field sieve (222-digit input)
Tue May 19 20:40:49 2020  R0: -100000000000000000000000000000000000000
Tue May 19 20:40:49 2020  R1: 1
Tue May 19 20:40:49 2020  A0: 7
Tue May 19 20:40:49 2020  A1: 0
Tue May 19 20:40:49 2020  A2: 0
Tue May 19 20:40:49 2020  A3: 0
Tue May 19 20:40:49 2020  A4: 0
Tue May 19 20:40:49 2020  A5: 0
Tue May 19 20:40:49 2020  A6: 1
Tue May 19 20:40:49 2020  skew 1.85, size 2.497e-011, alpha 1.963, combined = 1.254e-012 rroots = 0
Tue May 19 20:40:49 2020  
Tue May 19 20:40:49 2020  commencing relation filtering
Tue May 19 20:40:49 2020  setting target matrix density to 86.0
Tue May 19 20:40:49 2020  estimated available RAM is 8051.3 MB
Tue May 19 20:40:49 2020  commencing duplicate removal, pass 1
Tue May 19 20:50:20 2020  found 2602983 hash collisions in 76560857 relations
Tue May 19 20:50:29 2020  commencing duplicate removal, pass 2
Tue May 19 20:51:44 2020  found 3 duplicates and 76560854 unique relations
Tue May 19 20:51:44 2020  memory use: 253.2 MB
Tue May 19 20:51:44 2020  reading ideals above 52887552
Tue May 19 20:51:44 2020  commencing singleton removal, initial pass
Tue May 19 20:59:10 2020  memory use: 1506.0 MB
Tue May 19 20:59:10 2020  reading all ideals from disk
Tue May 19 20:59:11 2020  memory use: 1358.5 MB
Tue May 19 20:59:13 2020  commencing in-memory singleton removal
Tue May 19 20:59:16 2020  begin with 76560854 relations and 75034683 unique ideals
Tue May 19 20:59:41 2020  reduce to 34433251 relations and 26818485 ideals in 20 passes
Tue May 19 20:59:41 2020  max relations containing the same ideal: 28
Tue May 19 20:59:44 2020  reading ideals above 720000
Tue May 19 20:59:44 2020  commencing singleton removal, initial pass
Tue May 19 21:04:16 2020  memory use: 753.0 MB
Tue May 19 21:04:16 2020  reading all ideals from disk
Tue May 19 21:04:17 2020  memory use: 1264.5 MB
Tue May 19 21:04:21 2020  keeping 32959529 ideals with weight <= 200, target excess is 183835
Tue May 19 21:04:23 2020  commencing in-memory singleton removal
Tue May 19 21:04:27 2020  begin with 34433254 relations and 32959529 unique ideals
Tue May 19 21:04:59 2020  reduce to 34420076 relations and 32946341 ideals in 12 passes
Tue May 19 21:04:59 2020  max relations containing the same ideal: 200
Tue May 19 21:05:16 2020  removing 3760726 relations and 3360726 ideals in 400000 cliques
Tue May 19 21:05:17 2020  commencing in-memory singleton removal
Tue May 19 21:05:21 2020  begin with 30659350 relations and 32946341 unique ideals
Tue May 19 21:05:48 2020  reduce to 30269794 relations and 29189423 ideals in 11 passes
Tue May 19 21:05:48 2020  max relations containing the same ideal: 191
Tue May 19 21:06:03 2020  removing 2816477 relations and 2416477 ideals in 400000 cliques
Tue May 19 21:06:03 2020  commencing in-memory singleton removal
Tue May 19 21:06:06 2020  begin with 27453317 relations and 29189423 unique ideals
Tue May 19 21:06:28 2020  reduce to 27216063 relations and 26532197 ideals in 10 passes
Tue May 19 21:06:28 2020  max relations containing the same ideal: 179
Tue May 19 21:06:42 2020  removing 2514734 relations and 2114734 ideals in 400000 cliques
Tue May 19 21:06:42 2020  commencing in-memory singleton removal
Tue May 19 21:06:45 2020  begin with 24701329 relations and 26532197 unique ideals
Tue May 19 21:07:03 2020  reduce to 24493655 relations and 24206767 ideals in 10 passes
Tue May 19 21:07:03 2020  max relations containing the same ideal: 169
Tue May 19 21:07:14 2020  removing 610205 relations and 536566 ideals in 73639 cliques
Tue May 19 21:07:14 2020  commencing in-memory singleton removal
Tue May 19 21:07:17 2020  begin with 23883450 relations and 24206767 unique ideals
Tue May 19 21:07:29 2020  reduce to 23871992 relations and 23658700 ideals in 7 passes
Tue May 19 21:07:29 2020  max relations containing the same ideal: 164
Tue May 19 21:07:33 2020  relations with 0 large ideals: 6962
Tue May 19 21:07:33 2020  relations with 1 large ideals: 961
Tue May 19 21:07:33 2020  relations with 2 large ideals: 11367
Tue May 19 21:07:33 2020  relations with 3 large ideals: 117124
Tue May 19 21:07:33 2020  relations with 4 large ideals: 670821
Tue May 19 21:07:33 2020  relations with 5 large ideals: 2299178
Tue May 19 21:07:33 2020  relations with 6 large ideals: 4884845
Tue May 19 21:07:33 2020  relations with 7+ large ideals: 15880734
Tue May 19 21:07:33 2020  commencing 2-way merge
Tue May 19 21:07:49 2020  reduce to 14183643 relation sets and 13970350 unique ideals
Tue May 19 21:07:49 2020  commencing full merge
Tue May 19 21:11:56 2020  memory use: 1752.5 MB
Tue May 19 21:11:59 2020  found 6942081 cycles, need 6922550
Tue May 19 21:11:59 2020  weight of 6922550 cycles is about 595538411 (86.03/cycle)
Tue May 19 21:11:59 2020  distribution of cycle lengths:
Tue May 19 21:11:59 2020  1 relations: 813236
Tue May 19 21:11:59 2020  2 relations: 740265
Tue May 19 21:11:59 2020  3 relations: 711338
Tue May 19 21:11:59 2020  4 relations: 648287
Tue May 19 21:11:59 2020  5 relations: 582983
Tue May 19 21:11:59 2020  6 relations: 518331
Tue May 19 21:11:59 2020  7 relations: 450327
Tue May 19 21:11:59 2020  8 relations: 396678
Tue May 19 21:11:59 2020  9 relations: 347883
Tue May 19 21:11:59 2020  10+ relations: 1713222
Tue May 19 21:11:59 2020  heaviest cycle: 28 relations
Tue May 19 21:12:03 2020  commencing cycle optimization
Tue May 19 21:12:12 2020  start with 46053785 relations
Tue May 19 21:13:27 2020  pruned 1168614 relations
Tue May 19 21:13:27 2020  memory use: 1449.8 MB
Tue May 19 21:13:28 2020  distribution of cycle lengths:
Tue May 19 21:13:28 2020  1 relations: 813236
Tue May 19 21:13:28 2020  2 relations: 754981
Tue May 19 21:13:28 2020  3 relations: 734909
Tue May 19 21:13:28 2020  4 relations: 663127
Tue May 19 21:13:28 2020  5 relations: 597876
Tue May 19 21:13:28 2020  6 relations: 526577
Tue May 19 21:13:28 2020  7 relations: 456839
Tue May 19 21:13:28 2020  8 relations: 399645
Tue May 19 21:13:28 2020  9 relations: 347673
Tue May 19 21:13:28 2020  10+ relations: 1627687
Tue May 19 21:13:28 2020  heaviest cycle: 28 relations
Tue May 19 21:13:37 2020  RelProcTime: 1968
Tue May 19 21:13:37 2020  
Tue May 19 21:13:37 2020  commencing linear algebra
Tue May 19 21:13:38 2020  read 6922550 cycles
Tue May 19 21:13:48 2020  cycles contain 23683695 unique relations
Tue May 19 21:16:02 2020  read 23683695 relations
Tue May 19 21:16:36 2020  using 20 quadratic characters above 4294917295
Tue May 19 21:18:18 2020  building initial matrix
Tue May 19 21:21:22 2020  memory use: 2944.4 MB
Tue May 19 21:21:41 2020  read 6922550 cycles
Tue May 19 21:21:42 2020  matrix is 6922373 x 6922550 (2445.1 MB) with weight 707115650 (102.15/col)
Tue May 19 21:21:42 2020  sparse part has weight 571737332 (82.59/col)
Tue May 19 21:22:35 2020  filtering completed in 2 passes
Tue May 19 21:22:36 2020  matrix is 6920905 x 6921082 (2445.0 MB) with weight 707075452 (102.16/col)
Tue May 19 21:22:36 2020  sparse part has weight 571726951 (82.61/col)
Tue May 19 21:23:05 2020  matrix starts at (0, 0)
Tue May 19 21:23:05 2020  matrix is 6920905 x 6921082 (2445.0 MB) with weight 707075452 (102.16/col)
Tue May 19 21:23:05 2020  sparse part has weight 571726951 (82.61/col)
Tue May 19 21:23:05 2020  saving the first 48 matrix rows for later
Tue May 19 21:23:07 2020  matrix includes 64 packed rows
Tue May 19 21:23:08 2020  matrix is 6920857 x 6921082 (2351.0 MB) with weight 582148410 (84.11/col)
Tue May 19 21:23:08 2020  sparse part has weight 547091347 (79.05/col)
Tue May 19 21:23:08 2020  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Tue May 19 21:23:32 2020  commencing Lanczos iteration (4 threads)
Tue May 19 21:23:32 2020  memory use: 1964.9 MB
Tue May 19 21:24:03 2020  linear algebra at 0.0%, ETA 36h43m
Tue May 19 21:24:13 2020  checkpointing every 190000 dimensions
Tue May 19 21:30:22 2020  lanczos halted after 334 iterations (dim = 21130)
Tue May 19 21:30:24 2020  BLanczosTime: 1007
Tue May 19 21:30:24 2020  
Tue May 19 21:30:24 2020  commencing square root phase
Tue May 19 21:30:24 2020  handling dependencies 1 to 64
Tue May 19 21:30:24 2020  reading relations for dependency 1
Tue May 19 21:30:24 2020  error: read_cycles can't open dependency file
Tue May 19 21:44:05 2020  
Tue May 19 21:44:05 2020  
Tue May 19 21:44:05 2020  Msieve v. 1.54 (SVN 1018)
Tue May 19 21:44:05 2020  random seeds: c35c1e54 db7fd7b2
Tue May 19 21:44:05 2020  factoring 116189617272562600351520068096410891103488814018881509944495057932724120186075348269663553210952358655040113884415265874958360545909945378099023995595948746900787196275983338873641583613359993428315247063859324118024948467 (222 digits)
Tue May 19 21:44:08 2020  searching for 15-digit factors
Tue May 19 21:44:10 2020  commencing number field sieve (222-digit input)
Tue May 19 21:44:10 2020  R0: -100000000000000000000000000000000000000
Tue May 19 21:44:10 2020  R1: 1
Tue May 19 21:44:10 2020  A0: 7
Tue May 19 21:44:10 2020  A1: 0
Tue May 19 21:44:10 2020  A2: 0
Tue May 19 21:44:10 2020  A3: 0
Tue May 19 21:44:10 2020  A4: 0
Tue May 19 21:44:10 2020  A5: 0
Tue May 19 21:44:10 2020  A6: 1
Tue May 19 21:44:10 2020  skew 1.85, size 2.497e-011, alpha 1.963, combined = 1.254e-012 rroots = 0
Tue May 19 21:44:10 2020  
Tue May 19 21:44:10 2020  commencing linear algebra
Tue May 19 21:44:13 2020  matrix starts at (0, 0)
Tue May 19 21:44:16 2020  matrix is 6920905 x 6921082 (2445.0 MB) with weight 707075452 (102.16/col)
Tue May 19 21:44:16 2020  sparse part has weight 571726951 (82.61/col)
Tue May 19 21:44:16 2020  saving the first 48 matrix rows for later
Tue May 19 21:44:19 2020  matrix includes 64 packed rows
Tue May 19 21:44:22 2020  matrix is 6920857 x 6921082 (2351.0 MB) with weight 582148410 (84.11/col)
Tue May 19 21:44:22 2020  sparse part has weight 547091347 (79.05/col)
Tue May 19 21:44:22 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Tue May 19 21:44:57 2020  commencing Lanczos iteration (32 threads)
Tue May 19 21:44:57 2020  memory use: 1965.6 MB
Tue May 19 21:44:57 2020  restarting at iteration 334 (dim = 21130)
Tue May 19 21:45:08 2020  checkpointing every 290000 dimensions
Tue May 19 21:45:16 2020  linear algebra at 0.3%, ETA 23h57m
Wed May 20 21:49:51 2020  lanczos halted after 109443 iterations (dim = 6920853)
Wed May 20 21:50:03 2020  recovered 33 nontrivial dependencies
Wed May 20 21:50:06 2020  BLanczosTime: 86756
Wed May 20 21:50:06 2020  elapsed time 24:06:01
Wed May 20 21:50:06 2020  
Wed May 20 21:50:06 2020  
Wed May 20 21:50:06 2020  Msieve v. 1.54 (SVN 1018)
Wed May 20 21:50:06 2020  random seeds: 8f6cea54 0ef25c51
Wed May 20 21:50:06 2020  factoring 116189617272562600351520068096410891103488814018881509944495057932724120186075348269663553210952358655040113884415265874958360545909945378099023995595948746900787196275983338873641583613359993428315247063859324118024948467 (222 digits)
Wed May 20 21:50:09 2020  searching for 15-digit factors
Wed May 20 21:50:10 2020  commencing number field sieve (222-digit input)
Wed May 20 21:50:10 2020  R0: -100000000000000000000000000000000000000
Wed May 20 21:50:10 2020  R1: 1
Wed May 20 21:50:10 2020  A0: 7
Wed May 20 21:50:10 2020  A1: 0
Wed May 20 21:50:10 2020  A2: 0
Wed May 20 21:50:10 2020  A3: 0
Wed May 20 21:50:10 2020  A4: 0
Wed May 20 21:50:10 2020  A5: 0
Wed May 20 21:50:10 2020  A6: 1
Wed May 20 21:50:10 2020  skew 1.85, size 2.497e-011, alpha 1.963, combined = 1.254e-012 rroots = 0
Wed May 20 21:50:10 2020  
Wed May 20 21:50:10 2020  commencing square root phase
Wed May 20 21:50:10 2020  handling dependencies 1 to 3
Wed May 20 21:50:10 2020  reading relations for dependency 1
Wed May 20 21:50:12 2020  read 3460954 cycles
Wed May 20 21:50:19 2020  cycles contain 11838936 unique relations
Wed May 20 21:52:52 2020  read 11838936 relations
Wed May 20 21:53:55 2020  multiplying 11838936 relations
Wed May 20 22:02:43 2020  multiply complete, coefficients have about 287.64 million bits
Wed May 20 22:02:45 2020  initial square root is modulo 145213
Wed May 20 22:12:01 2020  GCD is N, no factor found
Wed May 20 22:12:01 2020  reading relations for dependency 2
Wed May 20 22:12:05 2020  read 3461601 cycles
Wed May 20 22:12:12 2020  cycles contain 11848720 unique relations
Wed May 20 22:13:51 2020  read 11848720 relations
Wed May 20 22:14:49 2020  multiplying 11848720 relations
Wed May 20 22:23:26 2020  multiply complete, coefficients have about 287.90 million bits
Wed May 20 22:23:27 2020  initial square root is modulo 146677
Wed May 20 22:32:30 2020  found factor: 20396537676324779950734503236040145976740152833
Wed May 20 22:32:30 2020  reading relations for dependency 3
Wed May 20 22:32:35 2020  read 3461782 cycles
Wed May 20 22:32:43 2020  cycles contain 11844282 unique relations
Wed May 20 22:35:18 2020  read 11844282 relations
Wed May 20 22:36:19 2020  multiplying 11844282 relations
Wed May 20 22:45:15 2020  multiply complete, coefficients have about 287.78 million bits
Wed May 20 22:45:17 2020  initial square root is modulo 145879
Wed May 20 22:54:24 2020  sqrtTime: 3854
Wed May 20 22:54:24 2020  p47 factor: 20396537676324779950734503236040145976740152833
Wed May 20 22:54:24 2020  p65 factor: 13250598065020373056579248190853585234279418727543835059560992747
Wed May 20 22:54:24 2020  p111 factor: 429907863199483743800562293002630474940556602525380163030014632247505757816515474289369784048573893770977960217
Wed May 20 22:54:24 2020  elapsed time 01:04:18

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:48:34 UTC 2012 年 8 月 22 日 (水) 5 時 48 分 34 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:48:34 UTC 2012 年 8 月 22 日 (水) 5 時 48 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:52 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 52 秒 (日本時間)

10229+7

c199

name 名前Alfred Reich
date 日付May 28, 2020 11:21:17 UTC 2020 年 5 月 28 日 (木) 20 時 21 分 17 秒 (日本時間)
composite number 合成数
2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973<199>
prime factors 素因数
19290314442678159667316887707352596289437724562586017110492478886832746625516992623<83>
122285405028051890865277843695206410900121828362294412903948322678972332264674127529446915787851662239925298599219451<117>
factorization results 素因数分解の結果
# p83-1 = 2 * 97 * 181 * 643 * 827 * 2252011 * 5531143 * 32455301 * 1163857807246985847209 * 2195692710131298954378925954099
# p83+1 = 2^4 * 3 * 7 * 317 * 641 * 95711685708917 * 2952009648093524513854069861287832831875051185352076916161291
# p117-1 = 2 * 5^2 * 19 * 1429406668284431486473 * 90052384554346428743102292664602532875946660768767215293204547338058313802790160027718572047
# p117+1 = 2^2 * 3 * 115037501 * 166665207437213 * 98431684422320524771393631 * 5399755272825403988561510193789488375729644834092536419584281697107
# siever: gnfs-lasieve4I14e = g
# g -v -f 3000000 -c 72000000 -o out -r poly
# msieve -i ini -s out -l log -nf fb -nc1 "target_density=90"
# msieve -i ini -s out -l log -nf fb -nc2 "target_density=90"
# msieve -i ini -s out -l log -nf fb -nc3 "4,6"
# poly:
# n: 2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973
# m: 100000000000000000000000000000000000000
# deg: 6
# c6: 10
# c0: 7
# skew: 1.25743
# cownoise.com
# Murphy_E =  9.58727541e-13
# type: snfs
# lss: 1
# rlim: 33554431
#alim: 33554431
# below 2^25
# lpbr: 30
# lpba: 30
# mfbr: 59
# mfba: 59
# rlambda: 2.7
# alambda: 2.7
# fb:
# N 2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973
# SKEW 1.25743
# R0 -100000000000000000000000000000000000000
# R1 1
# A6 10
# A0 7
# ini:
# 2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973
Tue May 26 19:35:04 2020  
Tue May 26 19:35:04 2020  
Tue May 26 19:35:04 2020  Msieve v. 1.54 (SVN 1018)
Tue May 26 19:35:04 2020  random seeds: 05cf9398 a65c48be
Tue May 26 19:35:04 2020  factoring 2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973 (199 digits)
Tue May 26 19:35:05 2020  searching for 15-digit factors
Tue May 26 19:35:05 2020  commencing number field sieve (199-digit input)
Tue May 26 19:35:05 2020  R0: -100000000000000000000000000000000000000
Tue May 26 19:35:05 2020  R1: 1
Tue May 26 19:35:05 2020  A0: 7
Tue May 26 19:35:05 2020  A1: 0
Tue May 26 19:35:05 2020  A2: 0
Tue May 26 19:35:05 2020  A3: 0
Tue May 26 19:35:05 2020  A4: 0
Tue May 26 19:35:05 2020  A5: 0
Tue May 26 19:35:05 2020  A6: 10
Tue May 26 19:35:05 2020  skew 1.26, size 1.703e-011, alpha 1.959, combined = 9.587e-013 rroots = 0
Tue May 26 19:35:05 2020  
Tue May 26 19:35:05 2020  commencing relation filtering
Tue May 26 19:35:05 2020  setting target matrix density to 90.0
Tue May 26 19:35:05 2020  estimated available RAM is 8051.3 MB
Tue May 26 19:35:05 2020  commencing duplicate removal, pass 1
Tue May 26 19:45:08 2020  skipped 1 relations with composite factors
Tue May 26 19:45:08 2020  found 2686581 hash collisions in 77770386 relations
Tue May 26 19:45:18 2020  commencing duplicate removal, pass 2
Tue May 26 19:46:12 2020  found 0 duplicates and 77770386 unique relations
Tue May 26 19:46:12 2020  memory use: 253.2 MB
Tue May 26 19:46:12 2020  reading ideals above 42139648
Tue May 26 19:46:12 2020  commencing singleton removal, initial pass
Tue May 26 19:53:49 2020  memory use: 1506.0 MB
Tue May 26 19:53:49 2020  reading all ideals from disk
Tue May 26 19:53:50 2020  memory use: 1519.5 MB
Tue May 26 19:53:53 2020  commencing in-memory singleton removal
Tue May 26 19:53:56 2020  begin with 77770386 relations and 76681842 unique ideals
Tue May 26 19:54:25 2020  reduce to 36215956 relations and 29249546 ideals in 19 passes
Tue May 26 19:54:25 2020  max relations containing the same ideal: 32
Tue May 26 19:54:27 2020  reading ideals above 720000
Tue May 26 19:54:28 2020  commencing singleton removal, initial pass
Tue May 26 19:59:02 2020  memory use: 753.0 MB
Tue May 26 19:59:02 2020  reading all ideals from disk
Tue May 26 19:59:03 2020  memory use: 1332.8 MB
Tue May 26 19:59:07 2020  keeping 34157689 ideals with weight <= 200, target excess is 198781
Tue May 26 19:59:09 2020  commencing in-memory singleton removal
Tue May 26 19:59:13 2020  begin with 36215956 relations and 34157689 unique ideals
Tue May 26 19:59:55 2020  reduce to 36212519 relations and 34154250 ideals in 16 passes
Tue May 26 19:59:55 2020  max relations containing the same ideal: 200
Tue May 26 20:00:11 2020  removing 3624209 relations and 3224209 ideals in 400000 cliques
Tue May 26 20:00:12 2020  commencing in-memory singleton removal
Tue May 26 20:00:15 2020  begin with 32588310 relations and 34154250 unique ideals
Tue May 26 20:00:48 2020  reduce to 32262564 relations and 30598990 ideals in 14 passes
Tue May 26 20:00:48 2020  max relations containing the same ideal: 193
Tue May 26 20:01:02 2020  removing 2691536 relations and 2291536 ideals in 400000 cliques
Tue May 26 20:01:03 2020  commencing in-memory singleton removal
Tue May 26 20:01:05 2020  begin with 29571028 relations and 30598990 unique ideals
Tue May 26 20:01:27 2020  reduce to 29377017 relations and 28110830 ideals in 10 passes
Tue May 26 20:01:27 2020  max relations containing the same ideal: 182
Tue May 26 20:01:40 2020  removing 2393009 relations and 1993009 ideals in 400000 cliques
Tue May 26 20:01:40 2020  commencing in-memory singleton removal
Tue May 26 20:01:43 2020  begin with 26984008 relations and 28110830 unique ideals
Tue May 26 20:02:00 2020  reduce to 26820182 relations and 25951739 ideals in 9 passes
Tue May 26 20:02:00 2020  max relations containing the same ideal: 173
Tue May 26 20:02:12 2020  removing 2236334 relations and 1836334 ideals in 400000 cliques
Tue May 26 20:02:13 2020  commencing in-memory singleton removal
Tue May 26 20:02:15 2020  begin with 24583848 relations and 25951739 unique ideals
Tue May 26 20:02:31 2020  reduce to 24432804 relations and 23962231 ideals in 9 passes
Tue May 26 20:02:31 2020  max relations containing the same ideal: 165
Tue May 26 20:02:41 2020  removing 1409872 relations and 1169885 ideals in 239987 cliques
Tue May 26 20:02:42 2020  commencing in-memory singleton removal
Tue May 26 20:02:44 2020  begin with 23022932 relations and 23962231 unique ideals
Tue May 26 20:02:57 2020  reduce to 22960303 relations and 22729167 ideals in 8 passes
Tue May 26 20:02:57 2020  max relations containing the same ideal: 156
Tue May 26 20:03:10 2020  relations with 0 large ideals: 7488
Tue May 26 20:03:10 2020  relations with 1 large ideals: 1417
Tue May 26 20:03:10 2020  relations with 2 large ideals: 14535
Tue May 26 20:03:10 2020  relations with 3 large ideals: 141203
Tue May 26 20:03:10 2020  relations with 4 large ideals: 765132
Tue May 26 20:03:10 2020  relations with 5 large ideals: 2466443
Tue May 26 20:03:10 2020  relations with 6 large ideals: 4929683
Tue May 26 20:03:10 2020  relations with 7+ large ideals: 14634402
Tue May 26 20:03:10 2020  commencing 2-way merge
Tue May 26 20:03:26 2020  reduce to 14012114 relation sets and 13780978 unique ideals
Tue May 26 20:03:26 2020  commencing full merge
Tue May 26 20:07:21 2020  memory use: 1718.3 MB
Tue May 26 20:07:23 2020  found 6841966 cycles, need 6819178
Tue May 26 20:07:24 2020  weight of 6819178 cycles is about 613873266 (90.02/cycle)
Tue May 26 20:07:24 2020  distribution of cycle lengths:
Tue May 26 20:07:24 2020  1 relations: 644113
Tue May 26 20:07:24 2020  2 relations: 685042
Tue May 26 20:07:24 2020  3 relations: 703835
Tue May 26 20:07:24 2020  4 relations: 656474
Tue May 26 20:07:24 2020  5 relations: 597512
Tue May 26 20:07:24 2020  6 relations: 540825
Tue May 26 20:07:24 2020  7 relations: 475762
Tue May 26 20:07:24 2020  8 relations: 420844
Tue May 26 20:07:24 2020  9 relations: 370015
Tue May 26 20:07:24 2020  10+ relations: 1724756
Tue May 26 20:07:24 2020  heaviest cycle: 28 relations
Tue May 26 20:07:28 2020  commencing cycle optimization
Tue May 26 20:07:36 2020  start with 46262100 relations
Tue May 26 20:08:53 2020  pruned 1258973 relations
Tue May 26 20:08:53 2020  memory use: 1423.1 MB
Tue May 26 20:08:53 2020  distribution of cycle lengths:
Tue May 26 20:08:53 2020  1 relations: 644113
Tue May 26 20:08:53 2020  2 relations: 699052
Tue May 26 20:08:53 2020  3 relations: 728118
Tue May 26 20:08:53 2020  4 relations: 673331
Tue May 26 20:08:53 2020  5 relations: 614629
Tue May 26 20:08:53 2020  6 relations: 550655
Tue May 26 20:08:53 2020  7 relations: 484960
Tue May 26 20:08:53 2020  8 relations: 424877
Tue May 26 20:08:53 2020  9 relations: 371861
Tue May 26 20:08:53 2020  10+ relations: 1627582
Tue May 26 20:08:53 2020  heaviest cycle: 28 relations
Tue May 26 20:09:02 2020  RelProcTime: 2037
Tue May 26 20:09:02 2020  
Tue May 26 20:09:02 2020  commencing linear algebra
Tue May 26 20:09:04 2020  read 6819178 cycles
Tue May 26 20:09:14 2020  cycles contain 22764030 unique relations
Tue May 26 20:11:18 2020  read 22764030 relations
Tue May 26 20:11:53 2020  using 20 quadratic characters above 4294917295
Tue May 26 20:13:31 2020  building initial matrix
Tue May 26 20:16:46 2020  memory use: 2904.3 MB
Tue May 26 20:17:53 2020  read 6819178 cycles
Tue May 26 20:17:54 2020  matrix is 6819001 x 6819178 (2529.9 MB) with weight 728443636 (106.82/col)
Tue May 26 20:17:54 2020  sparse part has weight 588178255 (86.25/col)
Tue May 26 20:18:48 2020  filtering completed in 2 passes
Tue May 26 20:18:48 2020  matrix is 6817813 x 6817990 (2529.8 MB) with weight 728409339 (106.84/col)
Tue May 26 20:18:48 2020  sparse part has weight 588168554 (86.27/col)
Tue May 26 20:20:35 2020  matrix starts at (0, 0)
Tue May 26 20:20:36 2020  matrix is 6817813 x 6817990 (2529.8 MB) with weight 728409339 (106.84/col)
Tue May 26 20:20:36 2020  sparse part has weight 588168554 (86.27/col)
Tue May 26 20:20:36 2020  saving the first 48 matrix rows for later
Tue May 26 20:20:37 2020  matrix includes 64 packed rows
Tue May 26 20:20:38 2020  matrix is 6817765 x 6817990 (2415.3 MB) with weight 604786865 (88.70/col)
Tue May 26 20:20:38 2020  sparse part has weight 564985167 (82.87/col)
Tue May 26 20:20:38 2020  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Tue May 26 20:21:04 2020  commencing Lanczos iteration (4 threads)
Tue May 26 20:21:04 2020  memory use: 2010.4 MB
Tue May 26 20:21:30 2020  linear algebra at 0.0%, ETA 31h 6m
Tue May 26 20:21:38 2020  checkpointing every 230000 dimensions
Wed May 27 07:00:01 2020  lanczos halted after 37777 iterations (dim = 2388874)
Wed May 27 07:00:02 2020  BLanczosTime: 39060
Wed May 27 07:00:03 2020  
Wed May 27 07:00:03 2020  commencing square root phase
Wed May 27 07:00:03 2020  handling dependencies 1 to 64
Wed May 27 07:00:03 2020  reading relations for dependency 1
Wed May 27 07:00:03 2020  error: read_cycles can't open dependency file
Wed May 27 07:16:58 2020  
Wed May 27 07:16:59 2020  
Wed May 27 07:16:59 2020  Msieve v. 1.54 (SVN 1018)
Wed May 27 07:16:59 2020  random seeds: 03e626f8 d58e59e0
Wed May 27 07:16:59 2020  factoring 2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973 (199 digits)
Wed May 27 07:17:01 2020  searching for 15-digit factors
Wed May 27 07:17:02 2020  commencing number field sieve (199-digit input)
Wed May 27 07:17:02 2020  R0: -100000000000000000000000000000000000000
Wed May 27 07:17:02 2020  R1: 1
Wed May 27 07:17:02 2020  A0: 7
Wed May 27 07:17:02 2020  A1: 0
Wed May 27 07:17:02 2020  A2: 0
Wed May 27 07:17:02 2020  A3: 0
Wed May 27 07:17:02 2020  A4: 0
Wed May 27 07:17:02 2020  A5: 0
Wed May 27 07:17:02 2020  A6: 10
Wed May 27 07:17:02 2020  skew 1.26, size 1.703e-011, alpha 1.959, combined = 9.587e-013 rroots = 0
Wed May 27 07:17:02 2020  
Wed May 27 07:17:02 2020  commencing linear algebra
Wed May 27 07:17:06 2020  matrix starts at (0, 0)
Wed May 27 07:17:08 2020  matrix is 6817813 x 6817990 (2529.8 MB) with weight 728409339 (106.84/col)
Wed May 27 07:17:08 2020  sparse part has weight 588168554 (86.27/col)
Wed May 27 07:17:08 2020  saving the first 48 matrix rows for later
Wed May 27 07:17:13 2020  matrix includes 64 packed rows
Wed May 27 07:17:16 2020  matrix is 6817765 x 6817990 (2415.3 MB) with weight 604786865 (88.70/col)
Wed May 27 07:17:16 2020  sparse part has weight 564985167 (82.87/col)
Wed May 27 07:17:16 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Wed May 27 07:18:18 2020  commencing Lanczos iteration (32 threads)
Wed May 27 07:18:18 2020  memory use: 2011.0 MB
Wed May 27 07:18:18 2020  restarting at iteration 37777 (dim = 2388874)
Wed May 27 07:18:31 2020  checkpointing every 320000 dimensions
Wed May 27 07:18:35 2020  linear algebra at 35.1%, ETA 13h46m
Wed May 27 10:37:03 2020  lanczos halted after 52710 iterations (dim = 3333220)
Wed May 27 10:37:05 2020  BLanczosTime: 12003
Wed May 27 10:37:05 2020  elapsed time 03:20:06
Wed May 27 12:43:15 2020  
Wed May 27 12:43:15 2020  
Wed May 27 12:43:15 2020  Msieve v. 1.54 (SVN 1018)
Wed May 27 12:43:15 2020  random seeds: be0277e0 2ddbc7dd
Wed May 27 12:43:15 2020  factoring 2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973 (199 digits)
Wed May 27 12:43:18 2020  searching for 15-digit factors
Wed May 27 12:43:19 2020  commencing number field sieve (199-digit input)
Wed May 27 12:43:19 2020  R0: -100000000000000000000000000000000000000
Wed May 27 12:43:19 2020  R1: 1
Wed May 27 12:43:19 2020  A0: 7
Wed May 27 12:43:19 2020  A1: 0
Wed May 27 12:43:19 2020  A2: 0
Wed May 27 12:43:19 2020  A3: 0
Wed May 27 12:43:19 2020  A4: 0
Wed May 27 12:43:19 2020  A5: 0
Wed May 27 12:43:19 2020  A6: 10
Wed May 27 12:43:19 2020  skew 1.26, size 1.703e-011, alpha 1.959, combined = 9.587e-013 rroots = 0
Wed May 27 12:43:19 2020  
Wed May 27 12:43:19 2020  commencing linear algebra
Wed May 27 12:43:55 2020  matrix starts at (0, 0)
Wed May 27 12:43:58 2020  matrix is 6817813 x 6817990 (2529.8 MB) with weight 728409339 (106.84/col)
Wed May 27 12:43:58 2020  sparse part has weight 588168554 (86.27/col)
Wed May 27 12:43:58 2020  saving the first 48 matrix rows for later
Wed May 27 12:44:03 2020  matrix includes 64 packed rows
Wed May 27 12:44:06 2020  matrix is 6817765 x 6817990 (2415.3 MB) with weight 604786865 (88.70/col)
Wed May 27 12:44:06 2020  sparse part has weight 564985167 (82.87/col)
Wed May 27 12:44:06 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Wed May 27 12:44:44 2020  commencing Lanczos iteration (32 threads)
Wed May 27 12:44:44 2020  memory use: 2011.0 MB
Wed May 27 12:44:47 2020  restarting at iteration 52710 (dim = 3333220)
Wed May 27 12:44:58 2020  checkpointing every 270000 dimensions
Wed May 27 12:45:07 2020  linear algebra at 48.9%, ETA 12h45m
Wed May 27 16:33:04 2020  lanczos halted after 69909 iterations (dim = 4420636)
Wed May 27 16:33:06 2020  BLanczosTime: 13787
Wed May 27 16:33:06 2020  elapsed time 03:49:51
Wed May 27 17:03:16 2020  
Wed May 27 17:03:16 2020  
Wed May 27 17:03:16 2020  Msieve v. 1.54 (SVN 1018)
Wed May 27 17:03:16 2020  random seeds: 396988b8 b6a10a3d
Wed May 27 17:03:16 2020  factoring 2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973 (199 digits)
Wed May 27 17:03:18 2020  searching for 15-digit factors
Wed May 27 17:03:19 2020  commencing number field sieve (199-digit input)
Wed May 27 17:03:19 2020  R0: -100000000000000000000000000000000000000
Wed May 27 17:03:19 2020  R1: 1
Wed May 27 17:03:19 2020  A0: 7
Wed May 27 17:03:19 2020  A1: 0
Wed May 27 17:03:19 2020  A2: 0
Wed May 27 17:03:19 2020  A3: 0
Wed May 27 17:03:19 2020  A4: 0
Wed May 27 17:03:19 2020  A5: 0
Wed May 27 17:03:19 2020  A6: 10
Wed May 27 17:03:19 2020  skew 1.26, size 1.703e-011, alpha 1.959, combined = 9.587e-013 rroots = 0
Wed May 27 17:03:19 2020  
Wed May 27 17:03:19 2020  commencing linear algebra
Wed May 27 17:03:25 2020  matrix starts at (0, 0)
Wed May 27 17:03:27 2020  matrix is 6817813 x 6817990 (2529.8 MB) with weight 728409339 (106.84/col)
Wed May 27 17:03:27 2020  sparse part has weight 588168554 (86.27/col)
Wed May 27 17:03:27 2020  saving the first 48 matrix rows for later
Wed May 27 17:03:33 2020  matrix includes 64 packed rows
Wed May 27 17:03:35 2020  matrix is 6817765 x 6817990 (2415.3 MB) with weight 604786865 (88.70/col)
Wed May 27 17:03:35 2020  sparse part has weight 564985167 (82.87/col)
Wed May 27 17:03:35 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Wed May 27 17:04:14 2020  commencing Lanczos iteration (32 threads)
Wed May 27 17:04:14 2020  memory use: 2011.0 MB
Wed May 27 17:04:14 2020  restarting at iteration 69909 (dim = 4420636)
Wed May 27 17:04:32 2020  checkpointing every 280000 dimensions
Wed May 27 17:04:34 2020  linear algebra at 64.9%, ETA 8h45m
Thu May 28 01:31:10 2020  lanczos halted after 107821 iterations (dim = 6817763)
Thu May 28 01:31:19 2020  recovered 37 nontrivial dependencies
Thu May 28 01:31:22 2020  BLanczosTime: 30483
Thu May 28 01:31:22 2020  elapsed time 08:28:06
Thu May 28 02:56:31 2020  
Thu May 28 02:56:31 2020  
Thu May 28 02:56:31 2020  Msieve v. 1.54 (SVN 1018)
Thu May 28 02:56:31 2020  random seeds: 19f91ac4 90ee7fd9
Thu May 28 02:56:31 2020  factoring 2358923914741377835075411602186199053139018059180471195313458425288326117760088604313648071747189252552395384585651686678643998614136074042606206886061950455701727171526840754957846901471564725109973 (199 digits)
Thu May 28 02:56:33 2020  searching for 15-digit factors
Thu May 28 02:56:34 2020  commencing number field sieve (199-digit input)
Thu May 28 02:56:34 2020  R0: -100000000000000000000000000000000000000
Thu May 28 02:56:34 2020  R1: 1
Thu May 28 02:56:34 2020  A0: 7
Thu May 28 02:56:34 2020  A1: 0
Thu May 28 02:56:34 2020  A2: 0
Thu May 28 02:56:34 2020  A3: 0
Thu May 28 02:56:34 2020  A4: 0
Thu May 28 02:56:34 2020  A5: 0
Thu May 28 02:56:34 2020  A6: 10
Thu May 28 02:56:34 2020  skew 1.26, size 1.703e-011, alpha 1.959, combined = 9.587e-013 rroots = 0
Thu May 28 02:56:34 2020  
Thu May 28 02:56:34 2020  commencing square root phase
Thu May 28 02:56:34 2020  handling dependencies 4 to 6
Thu May 28 02:56:34 2020  reading relations for dependency 4
Thu May 28 02:56:38 2020  read 3407514 cycles
Thu May 28 02:56:45 2020  cycles contain 11380604 unique relations
Thu May 28 02:59:09 2020  read 11380604 relations
Thu May 28 03:00:05 2020  multiplying 11380604 relations
Thu May 28 03:10:17 2020  multiply complete, coefficients have about 313.44 million bits
Thu May 28 03:10:19 2020  initial square root is modulo 420967
Thu May 28 03:31:50 2020  sqrtTime: 2116
Thu May 28 03:31:50 2020  p83 factor: 19290314442678159667316887707352596289437724562586017110492478886832746625516992623
Thu May 28 03:31:50 2020  p117 factor: 122285405028051890865277843695206410900121828362294412903948322678972332264674127529446915787851662239925298599219451
Thu May 28 03:31:50 2020  elapsed time 00:35:19

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:48:05 UTC 2012 年 8 月 22 日 (水) 5 時 48 分 5 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:48:05 UTC 2012 年 8 月 22 日 (水) 5 時 48 分 5 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:52 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 52 秒 (日本時間)

10230+7

c228

name 名前Serge Batalov
date 日付August 18, 2012 01:35:21 UTC 2012 年 8 月 18 日 (土) 10 時 35 分 21 秒 (日本時間)
composite number 合成数
149925037481259370314842578710644677661169415292353823088455772113943028485757121439280359820089955022488755622188905547226386806596701649175412293853073463268365817091454272863568215892053973013493253373313343328335832083958021<228>
prime factors 素因数
959750037439525397759484661369<30>
composite cofactor 合成数の残り
156212588312304457146729276408887960630437718470666379805091796322189943358929157846254044448018999455683226725561008850427794848520498671497023876969517507033894416429629181938023463364140710755309<198>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2054716733
Step 1 took 14021ms
Step 2 took 7896ms
********** Factor found in step 2: 959750037439525397759484661369
Found probable prime factor of 30 digits: 959750037439525397759484661369
Composite cofactor has 198 digits

c198

name 名前Alfred Reich
date 日付June 2, 2020 10:36:47 UTC 2020 年 6 月 2 日 (火) 19 時 36 分 47 秒 (日本時間)
composite number 合成数
156212588312304457146729276408887960630437718470666379805091796322189943358929157846254044448018999455683226725561008850427794848520498671497023876969517507033894416429629181938023463364140710755309<198>
prime factors 素因数
69784461405908471930422467471146023043179217537286826847405664769628019470477139681893614493<92>
2238501023941102405363714980349461986543335576463006106117821293357745704551575319461177261910201320583313<106>
factorization results 素因数分解の結果
# p92-1 = 2^2 * 311 * 599 * 5854166155692359120549545639396754227993 * 15997292424197825373471046393429682238819930799
# p92+1 = 2 * 3 * 16573 * 106957 * 351343 * 75901394703829570205764118081473 * 246045867795715911464057211275851043182660931
# p106-1 = 2^4 * 3 * 7 * 13 * 67 * 773 * 9895104181148399872269955842656793662649214550828720480191753431275527918492454313333293646447799
# p106+1 = 2 * 11 * 89 * 239 * 7497002387410051 * 4890585061333367831543062788641 * 130466269005946483398489341804225990896323346432662367
# siever: gnfs-lasieve4I14e = g
# g -v -f 3000000 -c 70000000 -o out -r poly
# poly:
# n: 156212588312304457146729276408887960630437718470666379805091796322189943358929157846254044448018999455683226725561008850427794848520498671497023876969517507033894416429629181938023463364140710755309
# m: 10000000000000000000000000000000000000000000000
# deg: 5
# c5: 1
# c0: 7
# skew: 2.15480
# type: snfs
# lss: 1
# rlim: 33554432
# alim: 33554432
# lpbr: 30
# lpba: 30
# mfbr: 59
# mfba: 59
# rlambda: 2.7
# alambda: 2.7
# Murphy_E 1.04668697e-12
# fb:
# N 156212588312304457146729276408887960630437718470666379805091796322189943358929157846254044448018999455683226725561008850427794848520498671497023876969517507033894416429629181938023463364140710755309
# SKEW 2.15480
# R0 -10000000000000000000000000000000000000000000000
# R1 1
# A0 7
# A5 1
# ini
# 156212588312304457146729276408887960630437718470666379805091796322189943358929157846254044448018999455683226725561008850427794848520498671497023876969517507033894416429629181938023463364140710755309
# msieve -i ini -s out -l log -nf fb -t 28 -nc "target_density=120"
Tue Jun  2 04:30:57 2020  
Tue Jun  2 04:30:57 2020  
Tue Jun  2 04:30:57 2020  Msieve v. 1.54 (SVN 1030)
Tue Jun  2 04:30:57 2020  random seeds: 0dd5e249 d45be7df
Tue Jun  2 04:30:57 2020  factoring 156212588312304457146729276408887960630437718470666379805091796322189943358929157846254044448018999455683226725561008850427794848520498671497023876969517507033894416429629181938023463364140710755309 (198 digits)
Tue Jun  2 04:30:58 2020  searching for 15-digit factors
Tue Jun  2 04:30:58 2020  commencing number field sieve (198-digit input)
Tue Jun  2 04:30:58 2020  R0: -10000000000000000000000000000000000000000000000
Tue Jun  2 04:30:58 2020  R1: 1
Tue Jun  2 04:30:58 2020  A0: 7
Tue Jun  2 04:30:58 2020  A1: 0
Tue Jun  2 04:30:58 2020  A2: 0
Tue Jun  2 04:30:58 2020  A3: 0
Tue Jun  2 04:30:58 2020  A4: 0
Tue Jun  2 04:30:58 2020  A5: 1
Tue Jun  2 04:30:58 2020  skew 2.15, size 1.108e-15, alpha 0.979, combined = 1.047e-12 rroots = 1
Tue Jun  2 04:30:58 2020  
Tue Jun  2 04:30:58 2020  commencing relation filtering
Tue Jun  2 04:30:58 2020  setting target matrix density to 120.0
Tue Jun  2 04:30:58 2020  estimated available RAM is 31844.8 MB
Tue Jun  2 04:30:58 2020  commencing duplicate removal, pass 1
Tue Jun  2 04:43:11 2020  found 21616540 hash collisions in 103565783 relations
Tue Jun  2 04:43:32 2020  added 731297 free relations
Tue Jun  2 04:43:32 2020  commencing duplicate removal, pass 2
Tue Jun  2 04:44:09 2020  found 22149727 duplicates and 82147353 unique relations
Tue Jun  2 04:44:09 2020  memory use: 660.8 MB
Tue Jun  2 04:44:09 2020  reading ideals above 720000
Tue Jun  2 04:44:09 2020  commencing singleton removal, initial pass
Tue Jun  2 04:55:43 2020  memory use: 2756.0 MB
Tue Jun  2 04:55:43 2020  reading all ideals from disk
Tue Jun  2 04:55:44 2020  memory use: 3041.1 MB
Tue Jun  2 04:55:50 2020  keeping 82743298 ideals with weight <= 200, target excess is 465304
Tue Jun  2 04:55:56 2020  commencing in-memory singleton removal
Tue Jun  2 04:56:01 2020  begin with 82147353 relations and 82743298 unique ideals
Tue Jun  2 04:57:02 2020  reduce to 42241012 relations and 37638717 ideals in 19 passes
Tue Jun  2 04:57:02 2020  max relations containing the same ideal: 130
Tue Jun  2 04:57:17 2020  removing 6211308 relations and 5211308 ideals in 1000000 cliques
Tue Jun  2 04:57:19 2020  commencing in-memory singleton removal
Tue Jun  2 04:57:21 2020  begin with 36029704 relations and 37638717 unique ideals
Tue Jun  2 04:57:47 2020  reduce to 35291714 relations and 31666959 ideals in 11 passes
Tue Jun  2 04:57:47 2020  max relations containing the same ideal: 116
Tue Jun  2 04:58:00 2020  removing 4774685 relations and 3774685 ideals in 1000000 cliques
Tue Jun  2 04:58:02 2020  commencing in-memory singleton removal
Tue Jun  2 04:58:03 2020  begin with 30517029 relations and 31666959 unique ideals
Tue Jun  2 04:58:21 2020  reduce to 30006329 relations and 27366791 ideals in 9 passes
Tue Jun  2 04:58:21 2020  max relations containing the same ideal: 103
Tue Jun  2 04:58:32 2020  removing 4322125 relations and 3322125 ideals in 1000000 cliques
Tue Jun  2 04:58:33 2020  commencing in-memory singleton removal
Tue Jun  2 04:58:35 2020  begin with 25684204 relations and 27366791 unique ideals
Tue Jun  2 04:58:51 2020  reduce to 25204351 relations and 23549716 ideals in 10 passes
Tue Jun  2 04:58:51 2020  max relations containing the same ideal: 97
Tue Jun  2 04:59:00 2020  removing 4102863 relations and 3102863 ideals in 1000000 cliques
Tue Jun  2 04:59:01 2020  commencing in-memory singleton removal
Tue Jun  2 04:59:02 2020  begin with 21101488 relations and 23549716 unique ideals
Tue Jun  2 04:59:15 2020  reduce to 20596511 relations and 19923966 ideals in 10 passes
Tue Jun  2 04:59:15 2020  max relations containing the same ideal: 80
Tue Jun  2 04:59:23 2020  removing 820360 relations and 687568 ideals in 132792 cliques
Tue Jun  2 04:59:24 2020  commencing in-memory singleton removal
Tue Jun  2 04:59:25 2020  begin with 19776151 relations and 19923966 unique ideals
Tue Jun  2 04:59:32 2020  reduce to 19756164 relations and 19216298 ideals in 6 passes
Tue Jun  2 04:59:32 2020  max relations containing the same ideal: 79
Tue Jun  2 04:59:42 2020  relations with 0 large ideals: 8886
Tue Jun  2 04:59:42 2020  relations with 1 large ideals: 10321
Tue Jun  2 04:59:42 2020  relations with 2 large ideals: 124296
Tue Jun  2 04:59:42 2020  relations with 3 large ideals: 727052
Tue Jun  2 04:59:42 2020  relations with 4 large ideals: 2375550
Tue Jun  2 04:59:42 2020  relations with 5 large ideals: 4587429
Tue Jun  2 04:59:42 2020  relations with 6 large ideals: 5581095
Tue Jun  2 04:59:42 2020  relations with 7+ large ideals: 6341535
Tue Jun  2 04:59:42 2020  commencing 2-way merge
Tue Jun  2 04:59:52 2020  reduce to 12245639 relation sets and 11705773 unique ideals
Tue Jun  2 04:59:52 2020  commencing full merge
Tue Jun  2 05:02:58 2020  memory use: 1461.4 MB
Tue Jun  2 05:02:59 2020  found 5425958 cycles, need 5401973
Tue Jun  2 05:03:01 2020  weight of 5401973 cycles is about 648991124 (120.14/cycle)
Tue Jun  2 05:03:01 2020  distribution of cycle lengths:
Tue Jun  2 05:03:01 2020  1 relations: 257417
Tue Jun  2 05:03:01 2020  2 relations: 342549
Tue Jun  2 05:03:01 2020  3 relations: 393632
Tue Jun  2 05:03:01 2020  4 relations: 397204
Tue Jun  2 05:03:01 2020  5 relations: 397447
Tue Jun  2 05:03:01 2020  6 relations: 383090
Tue Jun  2 05:03:01 2020  7 relations: 370807
Tue Jun  2 05:03:01 2020  8 relations: 349063
Tue Jun  2 05:03:01 2020  9 relations: 326768
Tue Jun  2 05:03:01 2020  10+ relations: 2183996
Tue Jun  2 05:03:01 2020  heaviest cycle: 28 relations
Tue Jun  2 05:03:02 2020  commencing cycle optimization
Tue Jun  2 05:03:11 2020  start with 48433868 relations
Tue Jun  2 05:04:30 2020  pruned 1982988 relations
Tue Jun  2 05:04:30 2020  memory use: 1310.1 MB
Tue Jun  2 05:04:30 2020  distribution of cycle lengths:
Tue Jun  2 05:04:30 2020  1 relations: 257417
Tue Jun  2 05:04:30 2020  2 relations: 351339
Tue Jun  2 05:04:30 2020  3 relations: 409831
Tue Jun  2 05:04:30 2020  4 relations: 412706
Tue Jun  2 05:04:30 2020  5 relations: 415326
Tue Jun  2 05:04:30 2020  6 relations: 399116
Tue Jun  2 05:04:30 2020  7 relations: 386729
Tue Jun  2 05:04:30 2020  8 relations: 362051
Tue Jun  2 05:04:30 2020  9 relations: 339167
Tue Jun  2 05:04:30 2020  10+ relations: 2068291
Tue Jun  2 05:04:30 2020  heaviest cycle: 28 relations
Tue Jun  2 05:04:45 2020  RelProcTime: 2027
Tue Jun  2 05:04:45 2020  
Tue Jun  2 05:04:45 2020  commencing linear algebra
Tue Jun  2 05:04:45 2020  read 5401973 cycles
Tue Jun  2 05:04:57 2020  cycles contain 19415128 unique relations
Tue Jun  2 05:06:39 2020  read 19415128 relations
Tue Jun  2 05:07:05 2020  using 20 quadratic characters above 4294917295
Tue Jun  2 05:08:17 2020  building initial matrix
Tue Jun  2 05:13:05 2020  memory use: 2525.5 MB
Tue Jun  2 05:13:13 2020  read 5401973 cycles
Tue Jun  2 05:13:14 2020  matrix is 5401795 x 5401973 (2543.3 MB) with weight 731844517 (135.48/col)
Tue Jun  2 05:13:14 2020  sparse part has weight 607283639 (112.42/col)
Tue Jun  2 05:14:20 2020  filtering completed in 2 passes
Tue Jun  2 05:14:21 2020  matrix is 5401588 x 5401765 (2543.3 MB) with weight 731836714 (135.48/col)
Tue Jun  2 05:14:21 2020  sparse part has weight 607280841 (112.42/col)
Tue Jun  2 05:14:56 2020  matrix starts at (0, 0)
Tue Jun  2 05:14:56 2020  matrix is 5401588 x 5401765 (2543.3 MB) with weight 731836714 (135.48/col)
Tue Jun  2 05:14:56 2020  sparse part has weight 607280841 (112.42/col)
Tue Jun  2 05:14:56 2020  saving the first 48 matrix rows for later
Tue Jun  2 05:14:57 2020  matrix includes 64 packed rows
Tue Jun  2 05:14:58 2020  matrix is 5401540 x 5401765 (2429.1 MB) with weight 624361254 (115.58/col)
Tue Jun  2 05:14:58 2020  sparse part has weight 582766258 (107.88/col)
Tue Jun  2 05:14:58 2020  using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
Tue Jun  2 05:15:20 2020  commencing Lanczos iteration (28 threads)
Tue Jun  2 05:15:20 2020  memory use: 2297.5 MB
Tue Jun  2 05:15:26 2020  linear algebra at 0.0%, ETA 4h56m
Tue Jun  2 05:15:28 2020  checkpointing every 1050000 dimensions
Tue Jun  2 09:11:06 2020  lanczos halted after 85423 iterations (dim = 5401540)
Tue Jun  2 09:11:09 2020  recovered 36 nontrivial dependencies
Tue Jun  2 09:11:10 2020  BLanczosTime: 11185
Tue Jun  2 09:11:10 2020  
Tue Jun  2 09:11:10 2020  commencing square root phase
Tue Jun  2 09:11:10 2020  handling dependencies 1 to 64
Tue Jun  2 09:11:10 2020  reading relations for dependency 1
Tue Jun  2 09:11:12 2020  read 2701577 cycles
Tue Jun  2 09:11:17 2020  cycles contain 9706582 unique relations
Tue Jun  2 09:12:09 2020  read 9706582 relations
Tue Jun  2 09:12:42 2020  multiplying 9706582 relations
Tue Jun  2 09:15:27 2020  multiply complete, coefficients have about 241.58 million bits
Tue Jun  2 09:15:28 2020  initial square root is modulo 467127301
Tue Jun  2 09:18:44 2020  sqrtTime: 454
Tue Jun  2 09:18:44 2020  p92 factor: 69784461405908471930422467471146023043179217537286826847405664769628019470477139681893614493
Tue Jun  2 09:18:44 2020  p106 factor: 2238501023941102405363714980349461986543335576463006106117821293357745704551575319461177261910201320583313
Tue Jun  2 09:18:44 2020  elapsed time 04:47:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:47:34 UTC 2012 年 8 月 22 日 (水) 5 時 47 分 34 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:47:34 UTC 2012 年 8 月 22 日 (水) 5 時 47 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:53 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 53 秒 (日本時間)

10232+7

c223

name 名前Alfred Reich
date 日付May 28, 2020 12:39:08 UTC 2020 年 5 月 28 日 (木) 21 時 39 分 8 秒 (日本時間)
composite number 合成数
6870596784385779513324725817619069834958735721313633013755104466080904914430080207601073000612312394842209740273158892174283837040406998598475893728964538590256502607448849157552946565669709247014121599962111681796697555727<223>
prime factors 素因数
11703533745954803473496748078854931124211874578419<50>
587053186971031294384279937369954537255117710991972576321873084513710228647336620035710040928546117273862442301966470950144295809344709803717742451640633266319458123776054133<174>
factorization results 素因数分解の結果
# siever: gnfs-lasieve4I14e = g
# g -v -f 10000000 -c 91000000 -o out -r poly
# poly:
# n: 6870596784385779513324725817619069834958735721313633013755104466080904914430080207601073000612312394842209740273158892174283837040406998598475893728964538590256502607448849157552946565669709247014121599962111681796697555727
# m: 500000000000000000000000000000000000000
# deg: 6
# c6: 16
# c0: 175
# skew: 1.49
# Murphy_E = 7.212e-13
# type: snfs
# lss: 1
# rlim: 54000000
# alim: 54000000
# lpbr: 30
# lpba: 30
# mfbr: 60
# mfba: 60
# rlambda: 2.7
# alambda: 2.7
# fb:
# N 6870596784385779513324725817619069834958735721313633013755104466080904914430080207601073000612312394842209740273158892174283837040406998598475893728964538590256502607448849157552946565669709247014121599962111681796697555727
# SKEW 1.49
# R0 -500000000000000000000000000000000000000
# R1 1
# A6 16
# A0 175
# ini:
# 6870596784385779513324725817619069834958735721313633013755104466080904914430080207601073000612312394842209740273158892174283837040406998598475893728964538590256502607448849157552946565669709247014121599962111681796697555727
# msieve -i ini -s out -l log -nf fb -nc
# p50-1 =  2 * 3 * 27960258871913 * 69762907653854546372718696718256731
# p50+1 =  2^2 * 5 * 4241317 * 13017163 * 97329653 * 108899218894368212368942067
# p174-1 = 2^2 * 3 * 6779 * 519653862433 * 5752768062016949 * 123384758377300166969338150381 * 100624443450058610685858257383933 * 19011596110945552433388913648131488167 * 10227181424597579499484543348898691562636247
# p174+1 = 2 * c174 = 293526593485515647192139968684977268627558855495986288160936542256855114323668310017855020464273058636931221150983235475072147904672354901858871225820316633159729061888027067
# c174 withstood 1000@1e6 ecm-curves.
Thu May 14 06:32:08 2020  
Thu May 14 06:32:08 2020  
Thu May 14 06:32:08 2020  Msieve v. 1.54 (SVN 1018)
Thu May 14 06:32:08 2020  random seeds: 8b9ad8e4 2f8224b4
Thu May 14 06:32:08 2020  factoring 6870596784385779513324725817619069834958735721313633013755104466080904914430080207601073000612312394842209740273158892174283837040406998598475893728964538590256502607448849157552946565669709247014121599962111681796697555727 (223 digits)
Thu May 14 06:32:09 2020  searching for 15-digit factors
Thu May 14 06:32:09 2020  commencing number field sieve (223-digit input)
Thu May 14 06:32:09 2020  R0: -500000000000000000000000000000000000000
Thu May 14 06:32:09 2020  R1: 1
Thu May 14 06:32:09 2020  A0: 175
Thu May 14 06:32:09 2020  A1: 0
Thu May 14 06:32:09 2020  A2: 0
Thu May 14 06:32:09 2020  A3: 0
Thu May 14 06:32:09 2020  A4: 0
Thu May 14 06:32:09 2020  A5: 0
Thu May 14 06:32:09 2020  A6: 16
Thu May 14 06:32:09 2020  skew 1.49, size 9.774e-012, alpha 0.678, combined = 6.409e-013 rroots = 0
Thu May 14 06:32:09 2020  
Thu May 14 06:32:09 2020  commencing relation filtering
Thu May 14 06:32:09 2020  estimated available RAM is 8051.3 MB
Thu May 14 06:32:09 2020  commencing duplicate removal, pass 1
Thu May 14 06:43:08 2020  skipped 80 relations with composite factors
Thu May 14 06:43:08 2020  found 3082123 hash collisions in 83429153 relations
Thu May 14 06:43:26 2020  added 1217841 free relations
Thu May 14 06:43:27 2020  commencing duplicate removal, pass 2
Thu May 14 06:44:31 2020  found 1 duplicates and 84646993 unique relations
Thu May 14 06:44:31 2020  memory use: 253.2 MB
Thu May 14 06:44:31 2020  reading ideals above 53936128
Thu May 14 06:44:31 2020  commencing singleton removal, initial pass
Thu May 14 06:54:10 2020  memory use: 1506.0 MB
Thu May 14 06:54:10 2020  reading all ideals from disk
Thu May 14 06:54:11 2020  memory use: 1653.4 MB
Thu May 14 06:54:15 2020  commencing in-memory singleton removal
Thu May 14 06:54:20 2020  begin with 84646993 relations and 80459086 unique ideals
Thu May 14 06:55:03 2020  reduce to 44404109 relations and 34914571 ideals in 19 passes
Thu May 14 06:55:03 2020  max relations containing the same ideal: 33
Thu May 14 06:55:06 2020  reading ideals above 720000
Thu May 14 06:55:06 2020  commencing singleton removal, initial pass
Thu May 14 07:01:09 2020  memory use: 1378.0 MB
Thu May 14 07:01:09 2020  reading all ideals from disk
Thu May 14 07:01:10 2020  memory use: 1672.3 MB
Thu May 14 07:01:16 2020  keeping 41122161 ideals with weight <= 200, target excess is 235658
Thu May 14 07:01:21 2020  commencing in-memory singleton removal
Thu May 14 07:01:26 2020  begin with 44404112 relations and 41122161 unique ideals
Thu May 14 07:01:54 2020  reduce to 44403907 relations and 41121950 ideals in 7 passes
Thu May 14 07:01:54 2020  max relations containing the same ideal: 200
Thu May 14 07:02:17 2020  removing 3468462 relations and 3068462 ideals in 400000 cliques
Thu May 14 07:02:18 2020  commencing in-memory singleton removal
Thu May 14 07:02:23 2020  begin with 40935445 relations and 41121950 unique ideals
Thu May 14 07:03:00 2020  reduce to 40709688 relations and 37824718 ideals in 10 passes
Thu May 14 07:03:00 2020  max relations containing the same ideal: 197
Thu May 14 07:03:21 2020  removing 2574623 relations and 2174623 ideals in 400000 cliques
Thu May 14 07:03:22 2020  commencing in-memory singleton removal
Thu May 14 07:03:27 2020  begin with 38135065 relations and 37824718 unique ideals
Thu May 14 07:03:58 2020  reduce to 38000671 relations and 35514230 ideals in 9 passes
Thu May 14 07:03:58 2020  max relations containing the same ideal: 191
Thu May 14 07:04:18 2020  removing 2290686 relations and 1890686 ideals in 400000 cliques
Thu May 14 07:04:19 2020  commencing in-memory singleton removal
Thu May 14 07:04:23 2020  begin with 35709985 relations and 35514230 unique ideals
Thu May 14 07:04:55 2020  reduce to 35598051 relations and 33510392 ideals in 10 passes
Thu May 14 07:04:55 2020  max relations containing the same ideal: 184
Thu May 14 07:05:14 2020  removing 2138479 relations and 1738479 ideals in 400000 cliques
Thu May 14 07:05:14 2020  commencing in-memory singleton removal
Thu May 14 07:05:18 2020  begin with 33459572 relations and 33510392 unique ideals
Thu May 14 07:05:39 2020  reduce to 33357358 relations and 31668574 ideals in 7 passes
Thu May 14 07:05:39 2020  max relations containing the same ideal: 176
Thu May 14 07:05:57 2020  removing 2035260 relations and 1635260 ideals in 400000 cliques
Thu May 14 07:05:58 2020  commencing in-memory singleton removal
Thu May 14 07:06:02 2020  begin with 31322098 relations and 31668574 unique ideals
Thu May 14 07:06:21 2020  reduce to 31224679 relations and 29934839 ideals in 7 passes
Thu May 14 07:06:21 2020  max relations containing the same ideal: 169
Thu May 14 07:06:38 2020  removing 1961779 relations and 1561779 ideals in 400000 cliques
Thu May 14 07:06:38 2020  commencing in-memory singleton removal
Thu May 14 07:06:42 2020  begin with 29262900 relations and 29934839 unique ideals
Thu May 14 07:07:02 2020  reduce to 29167409 relations and 28276522 ideals in 8 passes
Thu May 14 07:07:02 2020  max relations containing the same ideal: 164
Thu May 14 07:07:18 2020  removing 1907410 relations and 1507410 ideals in 400000 cliques
Thu May 14 07:07:18 2020  commencing in-memory singleton removal
Thu May 14 07:07:22 2020  begin with 27259999 relations and 28276522 unique ideals
Thu May 14 07:07:39 2020  reduce to 27163979 relations and 26671924 ideals in 7 passes
Thu May 14 07:07:39 2020  max relations containing the same ideal: 154
Thu May 14 07:07:53 2020  removing 1135348 relations and 916657 ideals in 218691 cliques
Thu May 14 07:07:53 2020  commencing in-memory singleton removal
Thu May 14 07:07:57 2020  begin with 26028631 relations and 26671924 unique ideals
Thu May 14 07:08:10 2020  reduce to 25994131 relations and 25720510 ideals in 6 passes
Thu May 14 07:08:10 2020  max relations containing the same ideal: 151
Thu May 14 07:08:27 2020  relations with 0 large ideals: 8801
Thu May 14 07:08:27 2020  relations with 1 large ideals: 1601
Thu May 14 07:08:27 2020  relations with 2 large ideals: 16442
Thu May 14 07:08:27 2020  relations with 3 large ideals: 156889
Thu May 14 07:08:27 2020  relations with 4 large ideals: 839920
Thu May 14 07:08:27 2020  relations with 5 large ideals: 2702476
Thu May 14 07:08:27 2020  relations with 6 large ideals: 5457775
Thu May 14 07:08:27 2020  relations with 7+ large ideals: 16810227
Thu May 14 07:08:27 2020  commencing 2-way merge
Thu May 14 07:08:48 2020  reduce to 16592964 relation sets and 16319343 unique ideals
Thu May 14 07:08:48 2020  commencing full merge
Thu May 14 07:13:19 2020  memory use: 2001.1 MB
Thu May 14 07:13:23 2020  found 8970933 cycles, need 8933543
Thu May 14 07:13:23 2020  weight of 8933543 cycles is about 625364606 (70.00/cycle)
Thu May 14 07:13:23 2020  distribution of cycle lengths:
Thu May 14 07:13:23 2020  1 relations: 1149102
Thu May 14 07:13:23 2020  2 relations: 1161828
Thu May 14 07:13:23 2020  3 relations: 1151035
Thu May 14 07:13:23 2020  4 relations: 1023547
Thu May 14 07:13:23 2020  5 relations: 895200
Thu May 14 07:13:23 2020  6 relations: 772234
Thu May 14 07:13:23 2020  7 relations: 656570
Thu May 14 07:13:23 2020  8 relations: 544226
Thu May 14 07:13:23 2020  9 relations: 437745
Thu May 14 07:13:23 2020  10+ relations: 1142056
Thu May 14 07:13:23 2020  heaviest cycle: 20 relations
Thu May 14 07:13:30 2020  commencing cycle optimization
Thu May 14 07:13:40 2020  start with 46562750 relations
Thu May 14 07:14:58 2020  pruned 1018851 relations
Thu May 14 07:14:58 2020  memory use: 1553.4 MB
Thu May 14 07:14:58 2020  distribution of cycle lengths:
Thu May 14 07:14:58 2020  1 relations: 1149102
Thu May 14 07:14:58 2020  2 relations: 1184012
Thu May 14 07:14:58 2020  3 relations: 1187652
Thu May 14 07:14:58 2020  4 relations: 1044329
Thu May 14 07:14:58 2020  5 relations: 913632
Thu May 14 07:14:58 2020  6 relations: 781018
Thu May 14 07:14:58 2020  7 relations: 660152
Thu May 14 07:14:58 2020  8 relations: 540871
Thu May 14 07:14:58 2020  9 relations: 430457
Thu May 14 07:14:58 2020  10+ relations: 1042318
Thu May 14 07:14:58 2020  heaviest cycle: 20 relations
Thu May 14 07:15:12 2020  RelProcTime: 2583
Thu May 14 07:15:12 2020  elapsed time 00:43:04
Thu May 14 08:53:02 2020  
Thu May 14 08:53:02 2020  
Thu May 14 08:53:02 2020  Msieve v. 1.54 (SVN 1018)
Thu May 14 08:53:02 2020  random seeds: c70efff0 9efddea0
Thu May 14 08:53:02 2020  factoring 6870596784385779513324725817619069834958735721313633013755104466080904914430080207601073000612312394842209740273158892174283837040406998598475893728964538590256502607448849157552946565669709247014121599962111681796697555727 (223 digits)
Thu May 14 08:53:03 2020  searching for 15-digit factors
Thu May 14 08:53:04 2020  commencing number field sieve (223-digit input)
Thu May 14 08:53:04 2020  R0: -500000000000000000000000000000000000000
Thu May 14 08:53:04 2020  R1: 1
Thu May 14 08:53:04 2020  A0: 175
Thu May 14 08:53:04 2020  A1: 0
Thu May 14 08:53:04 2020  A2: 0
Thu May 14 08:53:04 2020  A3: 0
Thu May 14 08:53:04 2020  A4: 0
Thu May 14 08:53:04 2020  A5: 0
Thu May 14 08:53:04 2020  A6: 16
Thu May 14 08:53:04 2020  skew 1.49, size 9.774e-012, alpha 0.678, combined = 6.409e-013 rroots = 0
Thu May 14 08:53:04 2020  
Thu May 14 08:53:04 2020  commencing linear algebra
Thu May 14 08:53:05 2020  read 8933543 cycles
Thu May 14 08:53:17 2020  cycles contain 25805655 unique relations
Thu May 14 08:55:46 2020  read 25805655 relations
Thu May 14 08:56:25 2020  using 20 quadratic characters above 4294917295
Thu May 14 08:58:16 2020  building initial matrix
Thu May 14 09:01:40 2020  memory use: 3252.1 MB
Thu May 14 09:01:58 2020  read 8933543 cycles
Thu May 14 09:01:59 2020  matrix is 8933366 x 8933543 (2653.5 MB) with weight 769627208 (86.15/col)
Thu May 14 09:01:59 2020  sparse part has weight 606275737 (67.87/col)
Thu May 14 09:03:16 2020  filtering completed in 2 passes
Thu May 14 09:03:17 2020  matrix is 8931393 x 8931570 (2653.4 MB) with weight 769579739 (86.16/col)
Thu May 14 09:03:17 2020  sparse part has weight 606263921 (67.88/col)
Thu May 14 09:03:51 2020  matrix starts at (0, 0)
Thu May 14 09:03:52 2020  matrix is 8931393 x 8931570 (2653.4 MB) with weight 769579739 (86.16/col)
Thu May 14 09:03:52 2020  sparse part has weight 606263921 (67.88/col)
Thu May 14 09:03:52 2020  saving the first 48 matrix rows for later
Thu May 14 09:03:55 2020  matrix includes 64 packed rows
Thu May 14 09:03:56 2020  matrix is 8931345 x 8931570 (2546.5 MB) with weight 618536660 (69.25/col)
Thu May 14 09:03:56 2020  sparse part has weight 578223618 (64.74/col)
Thu May 14 09:03:56 2020  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Thu May 14 09:04:25 2020  commencing Lanczos iteration (4 threads)
Thu May 14 09:04:25 2020  memory use: 2100.4 MB
Thu May 14 09:05:14 2020  linear algebra at 0.0%, ETA 76h36m
Thu May 14 09:05:30 2020  checkpointing every 120000 dimensions
Thu May 14 17:56:20 2020  lanczos halted after 7961 iterations (dim = 503408)
Thu May 14 17:56:28 2020  BLanczosTime: 32604
Thu May 14 17:56:28 2020  elapsed time 09:03:26
Thu May 14 18:23:45 2020  
Thu May 14 18:23:45 2020  
Thu May 14 18:23:45 2020  Msieve v. 1.54 (SVN 1018)
Thu May 14 18:23:45 2020  random seeds: 923877c0 4bda32cd
Thu May 14 18:23:45 2020  factoring 6870596784385779513324725817619069834958735721313633013755104466080904914430080207601073000612312394842209740273158892174283837040406998598475893728964538590256502607448849157552946565669709247014121599962111681796697555727 (223 digits)
Thu May 14 18:23:46 2020  searching for 15-digit factors
Thu May 14 18:23:47 2020  commencing number field sieve (223-digit input)
Thu May 14 18:23:47 2020  R0: -500000000000000000000000000000000000000
Thu May 14 18:23:47 2020  R1: 1
Thu May 14 18:23:47 2020  A0: 175
Thu May 14 18:23:47 2020  A1: 0
Thu May 14 18:23:47 2020  A2: 0
Thu May 14 18:23:47 2020  A3: 0
Thu May 14 18:23:47 2020  A4: 0
Thu May 14 18:23:47 2020  A5: 0
Thu May 14 18:23:47 2020  A6: 16
Thu May 14 18:23:47 2020  skew 1.49, size 9.774e-012, alpha 0.678, combined = 6.409e-013 rroots = 0
Thu May 14 18:23:47 2020  
Thu May 14 18:23:47 2020  commencing linear algebra
Thu May 14 18:23:50 2020  matrix starts at (0, 0)
Thu May 14 18:23:52 2020  matrix is 8931393 x 8931570 (2653.4 MB) with weight 769579739 (86.16/col)
Thu May 14 18:23:52 2020  sparse part has weight 606263921 (67.88/col)
Thu May 14 18:23:52 2020  saving the first 48 matrix rows for later
Thu May 14 18:23:55 2020  matrix includes 64 packed rows
Thu May 14 18:23:57 2020  matrix is 8931345 x 8931570 (2546.5 MB) with weight 618536660 (69.25/col)
Thu May 14 18:23:57 2020  sparse part has weight 578223618 (64.74/col)
Thu May 14 18:23:57 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Thu May 14 18:24:40 2020  commencing Lanczos iteration (32 threads)
Thu May 14 18:24:40 2020  memory use: 2101.1 MB
Thu May 14 18:24:45 2020  restarting at iteration 7961 (dim = 503408)
Thu May 14 18:24:53 2020  checkpointing every 290000 dimensions
Thu May 14 18:25:04 2020  linear algebra at 5.7%, ETA 29h20m
Sat May 16 04:07:56 2020  lanczos halted after 141230 iterations (dim = 8931343)
Sat May 16 04:08:08 2020  recovered 39 nontrivial dependencies
Sat May 16 04:08:10 2020  BLanczosTime: 121463
Sat May 16 04:08:10 2020  elapsed time 33:44:25
Sat May 16 04:08:10 2020  
Sat May 16 04:08:10 2020  
Sat May 16 04:08:10 2020  Msieve v. 1.54 (SVN 1018)
Sat May 16 04:08:10 2020  random seeds: 092f37bc d388f0e5
Sat May 16 04:08:10 2020  factoring 6870596784385779513324725817619069834958735721313633013755104466080904914430080207601073000612312394842209740273158892174283837040406998598475893728964538590256502607448849157552946565669709247014121599962111681796697555727 (223 digits)
Sat May 16 04:08:14 2020  searching for 15-digit factors
Sat May 16 04:08:15 2020  commencing number field sieve (223-digit input)
Sat May 16 04:08:15 2020  R0: -500000000000000000000000000000000000000
Sat May 16 04:08:15 2020  R1: 1
Sat May 16 04:08:15 2020  A0: 175
Sat May 16 04:08:15 2020  A1: 0
Sat May 16 04:08:15 2020  A2: 0
Sat May 16 04:08:15 2020  A3: 0
Sat May 16 04:08:15 2020  A4: 0
Sat May 16 04:08:15 2020  A5: 0
Sat May 16 04:08:15 2020  A6: 16
Sat May 16 04:08:15 2020  skew 1.49, size 9.774e-012, alpha 0.678, combined = 6.409e-013 rroots = 0
Sat May 16 04:08:15 2020  
Sat May 16 04:08:15 2020  commencing square root phase
Sat May 16 04:08:15 2020  reading relations for dependency 1
Sat May 16 04:08:19 2020  read 4467358 cycles
Sat May 16 04:08:29 2020  cycles contain 12906654 unique relations
Sat May 16 04:11:30 2020  read 12906654 relations
Sat May 16 04:12:39 2020  multiplying 12906654 relations
Sat May 16 04:23:57 2020  multiply complete, coefficients have about 372.16 million bits
Sat May 16 04:24:01 2020  initial square root is modulo 4761727
Sat May 16 04:39:04 2020  sqrtTime: 1849
Sat May 16 04:39:04 2020  p50 factor: 11703533745954803473496748078854931124211874578419
Sat May 16 04:39:04 2020  p174 factor: 587053186971031294384279937369954537255117710991972576321873084513710228647336620035710040928546117273862442301966470950144295809344709803717742451640633266319458123776054133
Sat May 16 04:39:04 2020  elapsed time 00:30:54

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61320320Lionel DebrouxAugust 18, 2012 15:38:44 UTC 2012 年 8 月 19 日 (日) 0 時 38 分 44 秒 (日本時間)
1000Dmitry DomanovAugust 20, 2012 19:37:01 UTC 2012 年 8 月 21 日 (火) 4 時 37 分 1 秒 (日本時間)
4511e62300 / 41832000Dmitry DomanovAugust 20, 2012 19:37:01 UTC 2012 年 8 月 21 日 (火) 4 時 37 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:53 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 53 秒 (日本時間)

10233+7

c228

name 名前Alfred Reich
date 日付June 25, 2020 13:47:31 UTC 2020 年 6 月 25 日 (木) 22 時 47 分 31 秒 (日本時間)
composite number 合成数
205148825215252404857103585796315937396784497313576133806269758396228543997242799789107007678720527806897513801387216356105536761643734447154688368677056770834401816797996106275297414509355812173941585923508209030240988324980357<228>
prime factors 素因数
30747037686571455000539703889094950398040755728417377<53>
6672149275208052372549415273621649891275581165191949203433112488671173780392757130273977325578760924299766484574875588722098824904100735169642792282153846844307863316763352741<175>
factorization results 素因数分解の結果
# P53-1 = 2^5*3^2*13*47*53*101*32641667664771410768089510713960532944028769
# P53+1 = 2*41*367350801956882531*1020724256566322141943257720172259
# P175-1 = 2^2*3*5*5*66785148040496231*c157 (withstood 3000@3e6 ecm-curves)
# P175+1 = 2*7*168731*55649420014166873543471*c146 (withstood 3000@3e6 ecm-curves)
# ini:
# 205148825215252404857103585796315937396784497313576133806269758396228543997242799789107007678720527806897513801387216356105536761643734447154688368677056770834401816797996106275297414509355812173941585923508209030240988324980357
# fb:
# N 205148825215252404857103585796315937396784497313576133806269758396228543997242799789107007678720527806897513801387216356105536761643734447154688368677056770834401816797996106275297414509355812173941585923508209030240988324980357
# SKEW 2.71850
# A6 1
# A0 70
# R0 -1000000000000000000000000000000000000000
# R1 1
# poly:
# n: 205148825215252404857103585796315937396784497313576133806269758396228543997242799789107007678720527806897513801387216356105536761643734447154688368677056770834401816797996106275297414509355812173941585923508209030240988324980357
# m: 1000000000000000000000000000000000000000
# deg: 6
# c6: 1
# c0: 70
# skew: 2.71850
# Murphy_E = 8.11062582e-13
# type: snfs
# lss: 1
# rlim: 67108864
# alim: 67108864
# lpbr: 30
# lpba: 30
# mfbr: 60
# mfba: 60
# rlambda: 2.7
# alambda: 2.7
# gnfs-lasieve4I15e -v -f 10000000 -c 4000000 -o out1 -r poly (15775475 unique rels)
# gnfs-lasieve4I14e -J 14 -v -f 14000000 -c 33000000 -o out2 -r poly (66320877 unique rels)
Sat Jun 20 08:41:56 2020  
Sat Jun 20 08:41:56 2020  
Sat Jun 20 08:41:56 2020  Msieve v. 1.54 (SVN 1030)
Sat Jun 20 08:41:56 2020  random seeds: 8ed7b7f1 cce830cc
Sat Jun 20 08:41:56 2020  factoring 205148825215252404857103585796315937396784497313576133806269758396228543997242799789107007678720527806897513801387216356105536761643734447154688368677056770834401816797996106275297414509355812173941585923508209030240988324980357 (228 digits)
Sat Jun 20 08:41:56 2020  searching for 15-digit factors
Sat Jun 20 08:41:57 2020  commencing number field sieve (228-digit input)
Sat Jun 20 08:41:57 2020  R0: -1000000000000000000000000000000000000000
Sat Jun 20 08:41:57 2020  R1: 1
Sat Jun 20 08:41:57 2020  A0: 70
Sat Jun 20 08:41:57 2020  A1: 0
Sat Jun 20 08:41:57 2020  A2: 0
Sat Jun 20 08:41:57 2020  A3: 0
Sat Jun 20 08:41:57 2020  A4: 0
Sat Jun 20 08:41:57 2020  A5: 0
Sat Jun 20 08:41:57 2020  A6: 1
Sat Jun 20 08:41:57 2020  skew 2.72, size 1.368e-11, alpha 0.808, combined = 8.111e-13 rroots = 0
Sat Jun 20 08:41:57 2020  
Sat Jun 20 08:41:57 2020  commencing relation filtering
Sat Jun 20 08:41:57 2020  estimated available RAM is 31844.7 MB
Sat Jun 20 08:41:57 2020  commencing duplicate removal, pass 1
Sat Jun 20 08:51:35 2020  found 3068430 hash collisions in 83315652 relations
Sat Jun 20 08:51:43 2020  commencing duplicate removal, pass 2
Sat Jun 20 08:51:59 2020  found 0 duplicates and 83315652 unique relations
Sat Jun 20 08:51:59 2020  memory use: 253.2 MB
Sat Jun 20 08:51:59 2020  reading ideals above 720000
Sat Jun 20 08:51:59 2020  commencing singleton removal, initial pass
Sat Jun 20 09:04:02 2020  memory use: 2756.0 MB
Sat Jun 20 09:04:02 2020  reading all ideals from disk
Sat Jun 20 09:04:03 2020  memory use: 3144.1 MB
Sat Jun 20 09:04:10 2020  keeping 85452619 ideals with weight <= 200, target excess is 441605
Sat Jun 20 09:04:17 2020  commencing in-memory singleton removal
Sat Jun 20 09:04:23 2020  begin with 83315652 relations and 85452619 unique ideals
Sat Jun 20 09:05:33 2020  reduce to 42300609 relations and 38871493 ideals in 19 passes
Sat Jun 20 09:05:33 2020  max relations containing the same ideal: 133
Sat Jun 20 09:05:51 2020  removing 3556257 relations and 3156258 ideals in 400000 cliques
Sat Jun 20 09:05:52 2020  commencing in-memory singleton removal
Sat Jun 20 09:05:55 2020  begin with 38744352 relations and 38871493 unique ideals
Sat Jun 20 09:06:32 2020  reduce to 38478179 relations and 35445411 ideals in 12 passes
Sat Jun 20 09:06:32 2020  max relations containing the same ideal: 123
Sat Jun 20 09:06:48 2020  removing 2651478 relations and 2251478 ideals in 400000 cliques
Sat Jun 20 09:06:49 2020  commencing in-memory singleton removal
Sat Jun 20 09:06:51 2020  begin with 35826701 relations and 35445411 unique ideals
Sat Jun 20 09:07:16 2020  reduce to 35664480 relations and 33029786 ideals in 9 passes
Sat Jun 20 09:07:16 2020  max relations containing the same ideal: 116
Sat Jun 20 09:07:31 2020  removing 2370352 relations and 1970352 ideals in 400000 cliques
Sat Jun 20 09:07:32 2020  commencing in-memory singleton removal
Sat Jun 20 09:07:34 2020  begin with 33294128 relations and 33029786 unique ideals
Sat Jun 20 09:07:58 2020  reduce to 33155065 relations and 30918859 ideals in 9 passes
Sat Jun 20 09:07:58 2020  max relations containing the same ideal: 113
Sat Jun 20 09:08:12 2020  removing 2224099 relations and 1824099 ideals in 400000 cliques
Sat Jun 20 09:08:13 2020  commencing in-memory singleton removal
Sat Jun 20 09:08:15 2020  begin with 30930966 relations and 30918859 unique ideals
Sat Jun 20 09:08:34 2020  reduce to 30801855 relations and 28964177 ideals in 8 passes
Sat Jun 20 09:08:34 2020  max relations containing the same ideal: 107
Sat Jun 20 09:08:47 2020  removing 2134709 relations and 1734709 ideals in 400000 cliques
Sat Jun 20 09:08:48 2020  commencing in-memory singleton removal
Sat Jun 20 09:08:50 2020  begin with 28667146 relations and 28964177 unique ideals
Sat Jun 20 09:09:08 2020  reduce to 28540356 relations and 27101125 ideals in 8 passes
Sat Jun 20 09:09:08 2020  max relations containing the same ideal: 100
Sat Jun 20 09:09:20 2020  removing 2072198 relations and 1672198 ideals in 400000 cliques
Sat Jun 20 09:09:21 2020  commencing in-memory singleton removal
Sat Jun 20 09:09:23 2020  begin with 26468158 relations and 27101125 unique ideals
Sat Jun 20 09:09:41 2020  reduce to 26340147 relations and 25299345 ideals in 9 passes
Sat Jun 20 09:09:41 2020  max relations containing the same ideal: 95
Sat Jun 20 09:09:53 2020  removing 2035593 relations and 1635593 ideals in 400000 cliques
Sat Jun 20 09:09:53 2020  commencing in-memory singleton removal
Sat Jun 20 09:09:55 2020  begin with 24304554 relations and 25299345 unique ideals
Sat Jun 20 09:10:10 2020  reduce to 24171478 relations and 23528917 ideals in 8 passes
Sat Jun 20 09:10:10 2020  max relations containing the same ideal: 89
Sat Jun 20 09:10:20 2020  removing 814881 relations and 684582 ideals in 130299 cliques
Sat Jun 20 09:10:21 2020  commencing in-memory singleton removal
Sat Jun 20 09:10:22 2020  begin with 23356597 relations and 23528917 unique ideals
Sat Jun 20 09:10:35 2020  reduce to 23335663 relations and 22823292 ideals in 7 passes
Sat Jun 20 09:10:35 2020  max relations containing the same ideal: 87
Sat Jun 20 09:10:49 2020  relations with 0 large ideals: 16844
Sat Jun 20 09:10:49 2020  relations with 1 large ideals: 5130
Sat Jun 20 09:10:49 2020  relations with 2 large ideals: 70493
Sat Jun 20 09:10:49 2020  relations with 3 large ideals: 501868
Sat Jun 20 09:10:49 2020  relations with 4 large ideals: 1939445
Sat Jun 20 09:10:49 2020  relations with 5 large ideals: 4445965
Sat Jun 20 09:10:49 2020  relations with 6 large ideals: 6280622
Sat Jun 20 09:10:49 2020  relations with 7+ large ideals: 10075296
Sat Jun 20 09:10:49 2020  commencing 2-way merge
Sat Jun 20 09:11:03 2020  reduce to 14256698 relation sets and 13744327 unique ideals
Sat Jun 20 09:11:03 2020  commencing full merge
Sat Jun 20 09:15:01 2020  memory use: 1745.6 MB
Sat Jun 20 09:15:03 2020  found 6864438 cycles, need 6802527
Sat Jun 20 09:15:07 2020  weight of 6802527 cycles is about 612261929 (90.01/cycle)
Sat Jun 20 09:15:07 2020  distribution of cycle lengths:
Sat Jun 20 09:15:07 2020  1 relations: 741557
Sat Jun 20 09:15:07 2020  2 relations: 658685
Sat Jun 20 09:15:07 2020  3 relations: 639197
Sat Jun 20 09:15:07 2020  4 relations: 591686
Sat Jun 20 09:15:07 2020  5 relations: 559929
Sat Jun 20 09:15:07 2020  6 relations: 516156
Sat Jun 20 09:15:07 2020  7 relations: 468890
Sat Jun 20 09:15:07 2020  8 relations: 419966
Sat Jun 20 09:15:07 2020  9 relations: 378969
Sat Jun 20 09:15:07 2020  10+ relations: 1827492
Sat Jun 20 09:15:07 2020  heaviest cycle: 25 relations
Sat Jun 20 09:15:10 2020  commencing cycle optimization
Sat Jun 20 09:15:25 2020  start with 46733501 relations
Sat Jun 20 09:16:56 2020  pruned 1364773 relations
Sat Jun 20 09:16:56 2020  memory use: 1430.0 MB
Sat Jun 20 09:16:56 2020  distribution of cycle lengths:
Sat Jun 20 09:16:56 2020  1 relations: 741557
Sat Jun 20 09:16:56 2020  2 relations: 672728
Sat Jun 20 09:16:56 2020  3 relations: 660947
Sat Jun 20 09:16:56 2020  4 relations: 608641
Sat Jun 20 09:16:56 2020  5 relations: 577495
Sat Jun 20 09:16:56 2020  6 relations: 528800
Sat Jun 20 09:16:56 2020  7 relations: 480047
Sat Jun 20 09:16:56 2020  8 relations: 427301
Sat Jun 20 09:16:56 2020  9 relations: 383891
Sat Jun 20 09:16:56 2020  10+ relations: 1721120
Sat Jun 20 09:16:56 2020  heaviest cycle: 25 relations
Sat Jun 20 09:17:10 2020  RelProcTime: 2113
Sat Jun 20 09:17:13 2020  
Sat Jun 20 09:17:13 2020  commencing linear algebra
Sat Jun 20 09:17:14 2020  read 6802527 cycles
Sat Jun 20 09:17:28 2020  cycles contain 22988281 unique relations
Sat Jun 20 09:19:32 2020  read 22988281 relations
Sat Jun 20 09:20:06 2020  using 20 quadratic characters above 4294917295
Sat Jun 20 09:21:36 2020  building initial matrix
Sat Jun 20 09:27:31 2020  memory use: 2989.4 MB
Sat Jun 20 09:27:41 2020  read 6802527 cycles
Sat Jun 20 09:27:42 2020  matrix is 6802350 x 6802527 (2529.8 MB) with weight 747838765 (109.94/col)
Sat Jun 20 09:27:42 2020  sparse part has weight 588356649 (86.49/col)
Sat Jun 20 09:28:51 2020  filtering completed in 2 passes
Sat Jun 20 09:28:53 2020  matrix is 6800303 x 6800480 (2529.7 MB) with weight 747770859 (109.96/col)
Sat Jun 20 09:28:53 2020  sparse part has weight 588335805 (86.51/col)
Sat Jun 20 09:29:28 2020  matrix starts at (0, 0)
Sat Jun 20 09:29:29 2020  matrix is 6800303 x 6800480 (2529.7 MB) with weight 747770859 (109.96/col)
Sat Jun 20 09:29:29 2020  sparse part has weight 588335805 (86.51/col)
Sat Jun 20 09:29:29 2020  saving the first 48 matrix rows for later
Sat Jun 20 09:29:29 2020  matrix includes 64 packed rows
Sat Jun 20 09:29:30 2020  matrix is 6800255 x 6800480 (2434.7 MB) with weight 623539600 (91.69/col)
Sat Jun 20 09:29:30 2020  sparse part has weight 570236382 (83.85/col)
Sat Jun 20 09:29:30 2020  using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
Sat Jun 20 09:29:53 2020  commencing Lanczos iteration (28 threads)
Sat Jun 20 09:29:53 2020  memory use: 2348.0 MB
Sat Jun 20 09:30:01 2020  linear algebra at 0.0%, ETA 8h43m
Sat Jun 20 09:30:03 2020  checkpointing every 810000 dimensions
Sat Jun 20 16:52:26 2020  lanczos halted after 107537 iterations (dim = 6800255)
Sat Jun 20 16:52:30 2020  recovered 37 nontrivial dependencies
Sat Jun 20 16:52:31 2020  BLanczosTime: 27318
Sat Jun 20 16:52:31 2020  
Sat Jun 20 16:52:31 2020  commencing square root phase
Sat Jun 20 16:52:31 2020  reading relations for dependency 1
Sat Jun 20 16:52:31 2020  read 3399829 cycles
Sat Jun 20 16:52:37 2020  cycles contain 11490736 unique relations
Sat Jun 20 16:53:41 2020  read 11490736 relations
Sat Jun 20 16:54:25 2020  multiplying 11490736 relations
Sat Jun 20 16:59:33 2020  multiply complete, coefficients have about 288.97 million bits
Sat Jun 20 16:59:34 2020  initial square root is modulo 153151
Sat Jun 20 17:08:53 2020  sqrtTime: 982
Sat Jun 20 17:08:53 2020  p53 factor: 30747037686571455000539703889094950398040755728417377
Sat Jun 20 17:08:53 2020  p175 factor: 6672149275208052372549415273621649891275581165191949203433112488671173780392757130273977325578760924299766484574875588722098824904100735169642792282153846844307863316763352741
Sat Jun 20 17:08:53 2020  elapsed time 08:26:57

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 20, 2012 19:36:27 UTC 2012 年 8 月 21 日 (火) 4 時 36 分 27 秒 (日本時間)
4511e649502000Dmitry DomanovAugust 20, 2012 19:36:27 UTC 2012 年 8 月 21 日 (火) 4 時 36 分 27 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:13 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:01 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 1 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:22 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 22 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:02 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 2 秒 (日本時間)

10234+7

c235

name 名前Youcef Lemsafer
date 日付June 30, 2014 11:25:22 UTC 2014 年 6 月 30 日 (月) 20 時 25 分 22 秒 (日本時間)
composite number 合成数
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<235>
prime factors 素因数
984703357325437251752936096672493187710742553841186000937<57>
1015534264771991957179510651659935907652673752027010248780674926537475753133199751946144672133097705428028391936104849029250003634685021826518074055207474254522135526632807208111<178>
factorization results 素因数分解の結果
<Sieved rational special q from 20M to 115M using gnfs-lasieve4I14e (took 11.7 days: >
<41.974 core.days on Intel Xeon W3530 @2.8GHz + 131.724 core.days on 2x Intel Xeon E5-2620 @2.0GHz).>

<Post-processing using 12 threads on Intel Xeon E5-2620 @2.0GHz>

Sat Jun 28 08:24:47 2014  Msieve v. 1.53 (SVN 965M)
Sat Jun 28 08:24:47 2014  random seeds: 9285bc10 5477c322
Sat Jun 28 08:24:47 2014  factoring 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007 (235 digits)
Sat Jun 28 08:24:49 2014  searching for 15-digit factors
Sat Jun 28 08:24:52 2014  commencing number field sieve (235-digit input)
Sat Jun 28 08:24:52 2014  R0: -1000000000000000000000000000000000000000
Sat Jun 28 08:24:52 2014  R1: 1
Sat Jun 28 08:24:52 2014  A0: 7
Sat Jun 28 08:24:52 2014  A1: 0
Sat Jun 28 08:24:52 2014  A2: 0
Sat Jun 28 08:24:52 2014  A3: 0
Sat Jun 28 08:24:52 2014  A4: 0
Sat Jun 28 08:24:52 2014  A5: 0
Sat Jun 28 08:24:52 2014  A6: 1
Sat Jun 28 08:24:52 2014  skew 1.38, size 1.293e-011, alpha 1.963, combined = 7.750e-013 rroots = 0
Sat Jun 28 08:24:52 2014  
Sat Jun 28 08:24:52 2014  commencing relation filtering
Sat Jun 28 08:24:52 2014  estimated available RAM is 32739.1 MB
Sat Jun 28 08:24:52 2014  commencing duplicate removal, pass 1
Sat Jun 28 08:37:36 2014  error -9 reading relation 90000548
Sat Jun 28 08:37:36 2014  error -15 reading relation 90008770
Sat Jun 28 08:37:36 2014  error -5 reading relation 90016939
Sat Jun 28 08:40:40 2014  skipped 9 relations with b > 2^32
Sat Jun 28 08:40:40 2014  found 22137110 hash collisions in 111412326 relations
Sat Jun 28 08:41:03 2014  added 1218798 free relations
Sat Jun 28 08:41:03 2014  commencing duplicate removal, pass 2
Sat Jun 28 08:42:41 2014  found 21912104 duplicates and 90719020 unique relations
Sat Jun 28 08:42:41 2014  memory use: 660.8 MB
Sat Jun 28 08:42:41 2014  reading ideals above 720000
Sat Jun 28 08:42:41 2014  commencing singleton removal, initial pass
Sat Jun 28 09:02:40 2014  memory use: 2756.0 MB
Sat Jun 28 09:02:40 2014  reading all ideals from disk
Sat Jun 28 09:02:42 2014  memory use: 3457.9 MB
Sat Jun 28 09:02:58 2014  keeping 88468561 ideals with weight <= 200, target excess is 481688
Sat Jun 28 09:03:13 2014  commencing in-memory singleton removal
Sat Jun 28 09:03:25 2014  begin with 90719020 relations and 88468561 unique ideals
Sat Jun 28 09:05:14 2014  reduce to 53025571 relations and 46331445 ideals in 14 passes
Sat Jun 28 09:05:14 2014  max relations containing the same ideal: 151
Sat Jun 28 09:05:47 2014  removing 5960919 relations and 4960919 ideals in 1000000 cliques
Sat Jun 28 09:05:50 2014  commencing in-memory singleton removal
Sat Jun 28 09:05:55 2014  begin with 47064652 relations and 46331445 unique ideals
Sat Jun 28 09:06:51 2014  reduce to 46522813 relations and 40815434 ideals in 11 passes
Sat Jun 28 09:06:51 2014  max relations containing the same ideal: 138
Sat Jun 28 09:07:19 2014  removing 4591981 relations and 3591981 ideals in 1000000 cliques
Sat Jun 28 09:07:21 2014  commencing in-memory singleton removal
Sat Jun 28 09:07:26 2014  begin with 41930832 relations and 40815434 unique ideals
Sat Jun 28 09:08:02 2014  reduce to 41580297 relations and 36865230 ideals in 8 passes
Sat Jun 28 09:08:02 2014  max relations containing the same ideal: 125
Sat Jun 28 09:08:27 2014  removing 4154291 relations and 3154291 ideals in 1000000 cliques
Sat Jun 28 09:08:28 2014  commencing in-memory singleton removal
Sat Jun 28 09:08:32 2014  begin with 37426006 relations and 36865230 unique ideals
Sat Jun 28 09:09:00 2014  reduce to 37116749 relations and 33394788 ideals in 7 passes
Sat Jun 28 09:09:00 2014  max relations containing the same ideal: 116
Sat Jun 28 09:09:22 2014  removing 3912669 relations and 2912669 ideals in 1000000 cliques
Sat Jun 28 09:09:24 2014  commencing in-memory singleton removal
Sat Jun 28 09:09:27 2014  begin with 33204080 relations and 33394788 unique ideals
Sat Jun 28 09:09:58 2014  reduce to 32908659 relations and 30179613 ideals in 9 passes
Sat Jun 28 09:09:58 2014  max relations containing the same ideal: 107
Sat Jun 28 09:10:18 2014  removing 3759018 relations and 2759018 ideals in 1000000 cliques
Sat Jun 28 09:10:20 2014  commencing in-memory singleton removal
Sat Jun 28 09:10:23 2014  begin with 29149641 relations and 30179613 unique ideals
Sat Jun 28 09:10:46 2014  reduce to 28846514 relations and 27109376 ideals in 8 passes
Sat Jun 28 09:10:46 2014  max relations containing the same ideal: 97
Sat Jun 28 09:11:03 2014  removing 3649407 relations and 2649407 ideals in 1000000 cliques
Sat Jun 28 09:11:05 2014  commencing in-memory singleton removal
Sat Jun 28 09:11:07 2014  begin with 25197107 relations and 27109376 unique ideals
Sat Jun 28 09:11:27 2014  reduce to 24875315 relations and 24128591 ideals in 8 passes
Sat Jun 28 09:11:27 2014  max relations containing the same ideal: 93
Sat Jun 28 09:11:42 2014  removing 933186 relations and 745221 ideals in 187965 cliques
Sat Jun 28 09:11:43 2014  commencing in-memory singleton removal
Sat Jun 28 09:11:45 2014  begin with 23942129 relations and 24128591 unique ideals
Sat Jun 28 09:11:59 2014  reduce to 23920116 relations and 23361192 ideals in 6 passes
Sat Jun 28 09:11:59 2014  max relations containing the same ideal: 89
Sat Jun 28 09:12:18 2014  relations with 0 large ideals: 17783
Sat Jun 28 09:12:18 2014  relations with 1 large ideals: 7569
Sat Jun 28 09:12:18 2014  relations with 2 large ideals: 84300
Sat Jun 28 09:12:18 2014  relations with 3 large ideals: 573679
Sat Jun 28 09:12:18 2014  relations with 4 large ideals: 2127881
Sat Jun 28 09:12:18 2014  relations with 5 large ideals: 4692155
Sat Jun 28 09:12:18 2014  relations with 6 large ideals: 6418078
Sat Jun 28 09:12:18 2014  relations with 7+ large ideals: 9998671
Sat Jun 28 09:12:18 2014  commencing 2-way merge
Sat Jun 28 09:12:37 2014  reduce to 15886861 relation sets and 15327937 unique ideals
Sat Jun 28 09:12:37 2014  commencing full merge
Sat Jun 28 09:17:42 2014  memory use: 1882.8 MB
Sat Jun 28 09:17:45 2014  found 8545024 cycles, need 8468137
Sat Jun 28 09:17:46 2014  weight of 8468137 cycles is about 592789863 (70.00/cycle)
Sat Jun 28 09:17:46 2014  distribution of cycle lengths:
Sat Jun 28 09:17:46 2014  1 relations: 883656
Sat Jun 28 09:17:46 2014  2 relations: 1038609
Sat Jun 28 09:17:46 2014  3 relations: 1082698
Sat Jun 28 09:17:46 2014  4 relations: 1008657
Sat Jun 28 09:17:46 2014  5 relations: 928045
Sat Jun 28 09:17:46 2014  6 relations: 810786
Sat Jun 28 09:17:46 2014  7 relations: 694685
Sat Jun 28 09:17:46 2014  8 relations: 568943
Sat Jun 28 09:17:46 2014  9 relations: 445901
Sat Jun 28 09:17:46 2014  10+ relations: 1006157
Sat Jun 28 09:17:46 2014  heaviest cycle: 20 relations
Sat Jun 28 09:17:48 2014  commencing cycle optimization
Sat Jun 28 09:18:00 2014  start with 44799317 relations
Sat Jun 28 09:19:26 2014  pruned 1147506 relations
Sat Jun 28 09:19:26 2014  memory use: 1455.8 MB
Sat Jun 28 09:19:26 2014  distribution of cycle lengths:
Sat Jun 28 09:19:26 2014  1 relations: 883656
Sat Jun 28 09:19:26 2014  2 relations: 1060027
Sat Jun 28 09:19:26 2014  3 relations: 1122000
Sat Jun 28 09:19:26 2014  4 relations: 1036735
Sat Jun 28 09:19:26 2014  5 relations: 953999
Sat Jun 28 09:19:26 2014  6 relations: 825647
Sat Jun 28 09:19:26 2014  7 relations: 702985
Sat Jun 28 09:19:26 2014  8 relations: 565491
Sat Jun 28 09:19:26 2014  9 relations: 434705
Sat Jun 28 09:19:26 2014  10+ relations: 882892
Sat Jun 28 09:19:26 2014  heaviest cycle: 19 relations
Sat Jun 28 09:19:38 2014  RelProcTime: 3286
Sat Jun 28 09:19:38 2014  
Sat Jun 28 09:19:38 2014  commencing linear algebra
Sat Jun 28 09:19:41 2014  read 8468137 cycles
Sat Jun 28 09:19:56 2014  cycles contain 23625336 unique relations
Sat Jun 28 09:23:34 2014  read 23625336 relations
Sat Jun 28 09:24:20 2014  using 20 quadratic characters above 1073740572
Sat Jun 28 09:26:27 2014  building initial matrix
Sat Jun 28 09:32:17 2014  memory use: 3009.5 MB
Sat Jun 28 09:32:25 2014  read 8468137 cycles
Sat Jun 28 09:32:27 2014  matrix is 8467959 x 8468137 (2509.7 MB) with weight 732557708 (86.51/col)
Sat Jun 28 09:32:27 2014  sparse part has weight 573222158 (67.69/col)
Sat Jun 28 09:34:12 2014  filtering completed in 2 passes
Sat Jun 28 09:34:13 2014  matrix is 8466492 x 8466670 (2509.6 MB) with weight 732520532 (86.52/col)
Sat Jun 28 09:34:13 2014  sparse part has weight 573211578 (67.70/col)
Sat Jun 28 09:35:23 2014  matrix starts at (0, 0)
Sat Jun 28 09:35:25 2014  matrix is 8466492 x 8466670 (2509.6 MB) with weight 732520532 (86.52/col)
Sat Jun 28 09:35:25 2014  sparse part has weight 573211578 (67.70/col)
Sat Jun 28 09:35:25 2014  saving the first 48 matrix rows for later
Sat Jun 28 09:35:28 2014  matrix includes 64 packed rows
Sat Jun 28 09:35:30 2014  matrix is 8466444 x 8466670 (2415.8 MB) with weight 584001332 (68.98/col)
Sat Jun 28 09:35:30 2014  sparse part has weight 548627120 (64.80/col)
Sat Jun 28 09:35:30 2014  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Sat Jun 28 09:36:13 2014  commencing Lanczos iteration (12 threads)
Sat Jun 28 09:36:13 2014  memory use: 2006.3 MB
Sat Jun 28 09:36:40 2014  linear algebra at 0.0%, ETA 40h14m
Sat Jun 28 09:36:49 2014  checkpointing every 210000 dimensions
Mon Jun 30 01:27:10 2014  lanczos halted after 133890 iterations (dim = 8466441)
Mon Jun 30 01:27:35 2014  recovered 33 nontrivial dependencies
Mon Jun 30 01:27:40 2014  BLanczosTime: 144482
Mon Jun 30 01:27:40 2014  
Mon Jun 30 01:27:40 2014  commencing square root phase
Mon Jun 30 01:27:40 2014  reading relations for dependency 1
Mon Jun 30 01:27:43 2014  read 4232536 cycles
Mon Jun 30 01:27:50 2014  cycles contain 11814754 unique relations
Mon Jun 30 01:29:48 2014  read 11814754 relations
Mon Jun 30 01:30:58 2014  multiplying 11814754 relations
Mon Jun 30 01:43:30 2014  multiply complete, coefficients have about 294.43 million bits
Mon Jun 30 01:43:32 2014  initial square root is modulo 191911
Mon Jun 30 01:57:24 2014  GCD is 1, no factor found
Mon Jun 30 01:57:24 2014  reading relations for dependency 2
Mon Jun 30 01:57:26 2014  read 4230295 cycles
Mon Jun 30 01:57:34 2014  cycles contain 11805752 unique relations
Mon Jun 30 01:59:32 2014  read 11805752 relations
Mon Jun 30 02:00:55 2014  multiplying 11805752 relations
Mon Jun 30 02:13:27 2014  multiply complete, coefficients have about 294.20 million bits
Mon Jun 30 02:13:28 2014  initial square root is modulo 190147
Mon Jun 30 02:27:27 2014  GCD is N, no factor found
Mon Jun 30 02:27:27 2014  reading relations for dependency 3
Mon Jun 30 02:27:29 2014  read 4235529 cycles
Mon Jun 30 02:27:38 2014  cycles contain 11814362 unique relations
Mon Jun 30 02:29:36 2014  read 11814362 relations
Mon Jun 30 02:30:45 2014  multiplying 11814362 relations
Mon Jun 30 02:43:19 2014  multiply complete, coefficients have about 294.42 million bits
Mon Jun 30 02:43:21 2014  initial square root is modulo 191827
Mon Jun 30 02:57:15 2014  sqrtTime: 5375
Mon Jun 30 02:57:15 2014  prp57 factor: 984703357325437251752936096672493187710742553841186000937
Mon Jun 30 02:57:15 2014  prp178 factor: 1015534264771991957179510651659935907652673752027010248780674926537475753133199751946144672133097705428028391936104849029250003634685021826518074055207474254522135526632807208111
Mon Jun 30 02:57:15 2014  elapsed time 42:32:28
software ソフトウェア
GGNFS (SVN 440), msieve 1.53 (SVN 965M)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 20, 2012 19:35:57 UTC 2012 年 8 月 21 日 (火) 4 時 35 分 57 秒 (日本時間)
4511e62000Dmitry DomanovAugust 20, 2012 19:35:57 UTC 2012 年 8 月 21 日 (火) 4 時 35 分 57 秒 (日本時間)
5043e6800Dmitry DomanovAugust 22, 2012 19:43:10 UTC 2012 年 8 月 23 日 (木) 4 時 43 分 10 秒 (日本時間)
5511e70--
6026e77475 / 41891yoyo@homeMay 10, 2013 13:05:08 UTC 2013 年 5 月 10 日 (金) 22 時 5 分 8 秒 (日本時間)

10235+7

c214

name 名前Alfred Reich
date 日付June 25, 2020 13:53:32 UTC 2020 年 6 月 25 日 (木) 22 時 53 分 32 秒 (日本時間)
composite number 合成数
8141600805302571547118833052839637698494132592361753247395753745760190091795686916470408372364956457745617541463939116079377188402622227585331643780839370666841109216432224787859316174156029298690290107691496839569<214>
prime factors 素因数
46518736557144720239844092302676164273896256090813576903201<59>
175017668317393699076318317348172875134110793998443025333941379037431021687015449701247272718967514739180877748085390230027134920294581063557519268888678769<156>
factorization results 素因数分解の結果
# P59-1 = 2^5*3^4*5^2*13*55221672076382621367336291907260403933874947876084493
# P59+1 = 2*307*5779*76829*3166223*3772243*14286982213961318301546846891248257
# P156-1 = 2^4*3^2*89*13656185105913990252521716397329344189615386547943432064134002733881946136627297885553001928758389102620230785587187127811106033106630857019157246324023
# P156+1 = 2*5*401*71987*7437603034937*10456816448958821762563*7795625471699445857375602962097516792406727661042368712694221264015214200883386699913480171566836273110484014341
# siever: gnfs-lasieve4I15e
Mon Jun 22 23:33:03 2020  
Mon Jun 22 23:33:03 2020  
Mon Jun 22 23:33:03 2020  Msieve v. 1.54 (SVN 1018)
Mon Jun 22 23:33:03 2020  random seeds: 7b3726b8 e0a0debb
Mon Jun 22 23:33:03 2020  factoring 8141600805302571547118833052839637698494132592361753247395753745760190091795686916470408372364956457745617541463939116079377188402622227585331643780839370666841109216432224787859316174156029298690290107691496839569 (214 digits)
Mon Jun 22 23:33:04 2020  searching for 15-digit factors
Mon Jun 22 23:33:05 2020  commencing number field sieve (214-digit input)
Mon Jun 22 23:33:05 2020  R0: -1000000000000000000000000000000000000000
Mon Jun 22 23:33:05 2020  R1: 1
Mon Jun 22 23:33:05 2020  A0: 7
Mon Jun 22 23:33:05 2020  A1: 0
Mon Jun 22 23:33:05 2020  A2: 0
Mon Jun 22 23:33:05 2020  A3: 0
Mon Jun 22 23:33:05 2020  A4: 0
Mon Jun 22 23:33:05 2020  A5: 0
Mon Jun 22 23:33:05 2020  A6: 10
Mon Jun 22 23:33:05 2020  skew 1.26, size 8.821e-012, alpha 1.959, combined = 5.951e-013 rroots = 0
Mon Jun 22 23:33:05 2020  
Mon Jun 22 23:33:05 2020  commencing relation filtering
Mon Jun 22 23:33:05 2020  setting target matrix density to 90.0
Mon Jun 22 23:33:05 2020  estimated available RAM is 8051.3 MB
Mon Jun 22 23:33:05 2020  commencing duplicate removal, pass 1
Mon Jun 22 23:41:56 2020  found 4681387 hash collisions in 81238699 relations
Mon Jun 22 23:42:05 2020  added 1 free relations
Mon Jun 22 23:42:05 2020  commencing duplicate removal, pass 2
Mon Jun 22 23:42:56 2020  found 2036919 duplicates and 79201781 unique relations
Mon Jun 22 23:42:56 2020  memory use: 261.2 MB
Mon Jun 22 23:42:56 2020  reading ideals above 95879168
Mon Jun 22 23:42:56 2020  commencing singleton removal, initial pass
Mon Jun 22 23:48:50 2020  memory use: 1506.0 MB
Mon Jun 22 23:48:50 2020  reading all ideals from disk
Mon Jun 22 23:48:51 2020  memory use: 1286.3 MB
Mon Jun 22 23:48:53 2020  commencing in-memory singleton removal
Mon Jun 22 23:48:56 2020  begin with 79201781 relations and 73547588 unique ideals
Mon Jun 22 23:49:21 2020  reduce to 36890401 relations and 25037729 ideals in 19 passes
Mon Jun 22 23:49:21 2020  max relations containing the same ideal: 31
Mon Jun 22 23:49:23 2020  reading ideals above 720000
Mon Jun 22 23:49:24 2020  commencing singleton removal, initial pass
Mon Jun 22 23:53:33 2020  memory use: 753.0 MB
Mon Jun 22 23:53:33 2020  reading all ideals from disk
Mon Jun 22 23:53:34 2020  memory use: 1414.3 MB
Mon Jun 22 23:53:39 2020  keeping 35863240 ideals with weight <= 200, target excess is 200502
Mon Jun 22 23:53:43 2020  commencing in-memory singleton removal
Mon Jun 22 23:53:47 2020  begin with 36890404 relations and 35863240 unique ideals
Mon Jun 22 23:54:56 2020  reduce to 36378502 relations and 35349500 ideals in 21 passes
Mon Jun 22 23:54:56 2020  max relations containing the same ideal: 200
Mon Jun 22 23:55:15 2020  removing 3863727 relations and 3465517 ideals in 398210 cliques
Mon Jun 22 23:55:16 2020  commencing in-memory singleton removal
Mon Jun 22 23:55:20 2020  begin with 32514775 relations and 35349500 unique ideals
Mon Jun 22 23:55:54 2020  reduce to 32128002 relations and 31490989 ideals in 12 passes
Mon Jun 22 23:55:54 2020  max relations containing the same ideal: 190
Mon Jun 22 23:56:11 2020  removing 2881373 relations and 2483163 ideals in 398210 cliques
Mon Jun 22 23:56:12 2020  commencing in-memory singleton removal
Mon Jun 22 23:56:15 2020  begin with 29246629 relations and 31490989 unique ideals
Mon Jun 22 23:56:49 2020  reduce to 29010590 relations and 28768536 ideals in 13 passes
Mon Jun 22 23:56:49 2020  max relations containing the same ideal: 179
Mon Jun 22 23:57:04 2020  removing 118391 relations and 108920 ideals in 9471 cliques
Mon Jun 22 23:57:04 2020  commencing in-memory singleton removal
Mon Jun 22 23:57:08 2020  begin with 28892199 relations and 28768536 unique ideals
Mon Jun 22 23:57:21 2020  reduce to 28891829 relations and 28659246 ideals in 5 passes
Mon Jun 22 23:57:21 2020  max relations containing the same ideal: 179
Mon Jun 22 23:57:27 2020  relations with 0 large ideals: 7620
Mon Jun 22 23:57:27 2020  relations with 1 large ideals: 922
Mon Jun 22 23:57:27 2020  relations with 2 large ideals: 6690
Mon Jun 22 23:57:27 2020  relations with 3 large ideals: 75173
Mon Jun 22 23:57:27 2020  relations with 4 large ideals: 488295
Mon Jun 22 23:57:27 2020  relations with 5 large ideals: 1925178
Mon Jun 22 23:57:27 2020  relations with 6 large ideals: 4743994
Mon Jun 22 23:57:27 2020  relations with 7+ large ideals: 21643957
Mon Jun 22 23:57:27 2020  commencing 2-way merge
Mon Jun 22 23:57:51 2020  reduce to 17259512 relation sets and 17026929 unique ideals
Mon Jun 22 23:57:51 2020  commencing full merge
Tue Jun 23 00:04:07 2020  memory use: 2174.0 MB
Tue Jun 23 00:04:11 2020  found 8370890 cycles, need 8367129
Tue Jun 23 00:04:11 2020  weight of 8367129 cycles is about 753471055 (90.05/cycle)
Tue Jun 23 00:04:11 2020  distribution of cycle lengths:
Tue Jun 23 00:04:11 2020  1 relations: 1026733
Tue Jun 23 00:04:11 2020  2 relations: 916868
Tue Jun 23 00:04:11 2020  3 relations: 881319
Tue Jun 23 00:04:11 2020  4 relations: 795132
Tue Jun 23 00:04:11 2020  5 relations: 710832
Tue Jun 23 00:04:11 2020  6 relations: 618012
Tue Jun 23 00:04:11 2020  7 relations: 526935
Tue Jun 23 00:04:11 2020  8 relations: 463166
Tue Jun 23 00:04:11 2020  9 relations: 397399
Tue Jun 23 00:04:11 2020  10+ relations: 2030733
Tue Jun 23 00:04:11 2020  heaviest cycle: 28 relations
Tue Jun 23 00:04:18 2020  commencing cycle optimization
Tue Jun 23 00:04:30 2020  start with 55736178 relations
Tue Jun 23 00:06:19 2020  pruned 1463437 relations
Tue Jun 23 00:06:19 2020  memory use: 1750.7 MB
Tue Jun 23 00:06:19 2020  distribution of cycle lengths:
Tue Jun 23 00:06:19 2020  1 relations: 1026733
Tue Jun 23 00:06:19 2020  2 relations: 936955
Tue Jun 23 00:06:19 2020  3 relations: 912934
Tue Jun 23 00:06:19 2020  4 relations: 813570
Tue Jun 23 00:06:19 2020  5 relations: 728008
Tue Jun 23 00:06:19 2020  6 relations: 626095
Tue Jun 23 00:06:19 2020  7 relations: 533988
Tue Jun 23 00:06:19 2020  8 relations: 464061
Tue Jun 23 00:06:19 2020  9 relations: 396125
Tue Jun 23 00:06:19 2020  10+ relations: 1928660
Tue Jun 23 00:06:19 2020  heaviest cycle: 28 relations
Tue Jun 23 00:06:35 2020  RelProcTime: 2010
Tue Jun 23 00:06:35 2020  elapsed time 00:33:32
Tue Jun 23 12:44:14 2020  
Tue Jun 23 12:44:14 2020  
Tue Jun 23 12:44:14 2020  Msieve v. 1.54 (SVN 1030)
Tue Jun 23 12:44:14 2020  random seeds: 00a1ce82 d5c06d03
Tue Jun 23 12:44:14 2020  factoring 8141600805302571547118833052839637698494132592361753247395753745760190091795686916470408372364956457745617541463939116079377188402622227585331643780839370666841109216432224787859316174156029298690290107691496839569 (214 digits)
Tue Jun 23 12:44:14 2020  searching for 15-digit factors
Tue Jun 23 12:44:15 2020  commencing number field sieve (214-digit input)
Tue Jun 23 12:44:15 2020  R0: -1000000000000000000000000000000000000000
Tue Jun 23 12:44:15 2020  R1: 1
Tue Jun 23 12:44:15 2020  A0: 7
Tue Jun 23 12:44:15 2020  A1: 0
Tue Jun 23 12:44:15 2020  A2: 0
Tue Jun 23 12:44:15 2020  A3: 0
Tue Jun 23 12:44:15 2020  A4: 0
Tue Jun 23 12:44:15 2020  A5: 0
Tue Jun 23 12:44:15 2020  A6: 10
Tue Jun 23 12:44:15 2020  skew 1.26, size 8.821e-12, alpha 1.959, combined = 5.951e-13 rroots = 0
Tue Jun 23 12:44:15 2020  
Tue Jun 23 12:44:15 2020  commencing linear algebra
Tue Jun 23 12:44:17 2020  read 8367129 cycles
Tue Jun 23 12:44:32 2020  cycles contain 28634341 unique relations
Tue Jun 23 12:46:14 2020  read 28634341 relations
Tue Jun 23 12:46:47 2020  using 20 quadratic characters above 4294917295
Tue Jun 23 12:48:32 2020  building initial matrix
Tue Jun 23 12:54:28 2020  memory use: 3618.4 MB
Tue Jun 23 12:54:38 2020  read 8367129 cycles
Tue Jun 23 12:54:39 2020  matrix is 8366952 x 8367129 (3106.3 MB) with weight 891918446 (106.60/col)
Tue Jun 23 12:54:39 2020  sparse part has weight 722259459 (86.32/col)
Tue Jun 23 12:55:51 2020  filtering completed in 2 passes
Tue Jun 23 12:55:52 2020  matrix is 8366218 x 8366395 (3106.2 MB) with weight 891895618 (106.60/col)
Tue Jun 23 12:55:52 2020  sparse part has weight 722252643 (86.33/col)
Tue Jun 23 12:56:35 2020  matrix starts at (0, 0)
Tue Jun 23 12:56:36 2020  matrix is 8366218 x 8366395 (3106.2 MB) with weight 891895618 (106.60/col)
Tue Jun 23 12:56:36 2020  sparse part has weight 722252643 (86.33/col)
Tue Jun 23 12:56:36 2020  saving the first 48 matrix rows for later
Tue Jun 23 12:56:37 2020  matrix includes 64 packed rows
Tue Jun 23 12:56:38 2020  matrix is 8366170 x 8366395 (2968.0 MB) with weight 741950499 (88.68/col)
Tue Jun 23 12:56:38 2020  sparse part has weight 694366883 (82.99/col)
Tue Jun 23 12:56:38 2020  using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
Tue Jun 23 12:57:03 2020  commencing Lanczos iteration (28 threads)
Tue Jun 23 12:57:03 2020  memory use: 2877.9 MB
Tue Jun 23 12:57:10 2020  linear algebra at 0.0%, ETA 10h42m
Tue Jun 23 12:57:13 2020  checkpointing every 730000 dimensions
Tue Jun 23 20:45:51 2020  lanczos halted after 96340 iterations (dim = 6092481)
Tue Jun 23 20:45:52 2020  BLanczosTime: 28897
Tue Jun 23 20:45:52 2020  elapsed time 08:01:38
Wed Jun 24 04:51:25 2020  
Wed Jun 24 04:51:25 2020  
Wed Jun 24 04:51:25 2020  Msieve v. 1.54 (SVN 1030)
Wed Jun 24 04:51:25 2020  random seeds: 15e85240 262279db
Wed Jun 24 04:51:25 2020  factoring 8141600805302571547118833052839637698494132592361753247395753745760190091795686916470408372364956457745617541463939116079377188402622227585331643780839370666841109216432224787859316174156029298690290107691496839569 (214 digits)
Wed Jun 24 04:51:25 2020  searching for 15-digit factors
Wed Jun 24 04:51:26 2020  commencing number field sieve (214-digit input)
Wed Jun 24 04:51:26 2020  R0: -1000000000000000000000000000000000000000
Wed Jun 24 04:51:26 2020  R1: 1
Wed Jun 24 04:51:26 2020  A0: 7
Wed Jun 24 04:51:26 2020  A1: 0
Wed Jun 24 04:51:26 2020  A2: 0
Wed Jun 24 04:51:26 2020  A3: 0
Wed Jun 24 04:51:26 2020  A4: 0
Wed Jun 24 04:51:26 2020  A5: 0
Wed Jun 24 04:51:26 2020  A6: 10
Wed Jun 24 04:51:26 2020  skew 1.26, size 8.821e-12, alpha 1.959, combined = 5.951e-13 rroots = 0
Wed Jun 24 04:51:26 2020  
Wed Jun 24 04:51:26 2020  commencing linear algebra
Wed Jun 24 04:51:53 2020  matrix starts at (0, 0)
Wed Jun 24 04:51:53 2020  matrix is 8366218 x 8366395 (3106.2 MB) with weight 891895618 (106.60/col)
Wed Jun 24 04:51:53 2020  sparse part has weight 722252643 (86.33/col)
Wed Jun 24 04:51:53 2020  saving the first 48 matrix rows for later
Wed Jun 24 04:51:54 2020  matrix includes 64 packed rows
Wed Jun 24 04:51:55 2020  matrix is 8366170 x 8366395 (2968.0 MB) with weight 741950499 (88.68/col)
Wed Jun 24 04:51:55 2020  sparse part has weight 694366883 (82.99/col)
Wed Jun 24 04:51:55 2020  using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
Wed Jun 24 04:52:20 2020  commencing Lanczos iteration (28 threads)
Wed Jun 24 04:52:20 2020  memory use: 2877.9 MB
Wed Jun 24 04:52:24 2020  restarting at iteration 96340 (dim = 6092481)
Wed Jun 24 04:52:32 2020  linear algebra at 72.8%, ETA 3h19m
Wed Jun 24 04:52:32 2020  checkpointing every 720000 dimensions
Wed Jun 24 08:07:56 2020  lanczos halted after 132299 iterations (dim = 8366170)
Wed Jun 24 08:08:01 2020  recovered 38 nontrivial dependencies
Wed Jun 24 08:08:01 2020  BLanczosTime: 11795
Wed Jun 24 08:08:01 2020  elapsed time 03:16:36
Wed Jun 24 13:52:21 2020  
Wed Jun 24 13:52:21 2020  
Wed Jun 24 13:52:21 2020  Msieve v. 1.54 (SVN 1018)
Wed Jun 24 13:52:21 2020  random seeds: b59bd314 3c0b0317
Wed Jun 24 13:52:21 2020  factoring 8141600805302571547118833052839637698494132592361753247395753745760190091795686916470408372364956457745617541463939116079377188402622227585331643780839370666841109216432224787859316174156029298690290107691496839569 (214 digits)
Wed Jun 24 13:52:22 2020  searching for 15-digit factors
Wed Jun 24 13:52:22 2020  commencing number field sieve (214-digit input)
Wed Jun 24 13:52:22 2020  R0: -1000000000000000000000000000000000000000
Wed Jun 24 13:52:22 2020  R1: 1
Wed Jun 24 13:52:22 2020  A0: 7
Wed Jun 24 13:52:22 2020  A1: 0
Wed Jun 24 13:52:22 2020  A2: 0
Wed Jun 24 13:52:22 2020  A3: 0
Wed Jun 24 13:52:22 2020  A4: 0
Wed Jun 24 13:52:22 2020  A5: 0
Wed Jun 24 13:52:22 2020  A6: 10
Wed Jun 24 13:52:22 2020  skew 1.26, size 8.821e-012, alpha 1.959, combined = 5.951e-013 rroots = 0
Wed Jun 24 13:52:22 2020  
Wed Jun 24 13:52:22 2020  commencing square root phase
Wed Jun 24 13:52:22 2020  handling dependencies 2 to 10
Wed Jun 24 13:52:22 2020  reading relations for dependency 2
Wed Jun 24 13:52:44 2020  read 4182443 cycles
Wed Jun 24 13:52:51 2020  cycles contain 14318572 unique relations
Wed Jun 24 13:54:57 2020  read 14318572 relations
Wed Jun 24 13:56:13 2020  multiplying 14318572 relations
Wed Jun 24 14:05:52 2020  multiply complete, coefficients have about 408.50 million bits
Wed Jun 24 14:05:54 2020  initial square root is modulo 21369991
Wed Jun 24 14:16:42 2020  sqrtTime: 1460
Wed Jun 24 14:16:42 2020  p59 factor: 46518736557144720239844092302676164273896256090813576903201
Wed Jun 24 14:16:42 2020  p156 factor: 175017668317393699076318317348172875134110793998443025333941379037431021687015449701247272718967514739180877748085390230027134920294581063557519268888678769
Wed Jun 24 14:16:42 2020  elapsed time 00:24:21

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:46:44 UTC 2012 年 8 月 22 日 (水) 5 時 46 分 44 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:46:44 UTC 2012 年 8 月 22 日 (水) 5 時 46 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:53 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 53 秒 (日本時間)

10236+7

c237

name 名前Polybius
date 日付May 12, 2013 10:38:37 UTC 2013 年 5 月 12 日 (日) 19 時 38 分 37 秒 (日本時間)
composite number 合成数
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<237>
prime factors 素因数
284763241834485695803469973689075429844141721921<48>
composite cofactor 合成数の残り
351168919681436550706639691350830523008589466749679249724568460421524488492082724180746474525452751729974385283201466582956436925397979941925041577525330888871230635507120823429547234455367<189>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007 (237 digits)
[Sat May 11 21:10:20 2013]
Using MODMULN
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=3046722851
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
23      82      335     1521    7650    42057   250476  1603736 1.1e+007        7.9e+007
Step 1 took 2403757ms
Using 28 small primes for NTT
Estimated memory usage: 1510M
Initializing tables of differences for F took 686ms
Computing roots of F took 62447ms
Building F from its roots took 41559ms
Computing 1/F took 13900ms
Initializing table of differences for G took 936ms
Computing roots of G took 49671ms
Building G from its roots took 41293ms
Computing roots of G took 49655ms
Building G from its roots took 41106ms
Computing G * H took 7441ms
Reducing  G * H mod F took 7114ms
Computing roots of G took 49639ms
Building G from its roots took 40966ms
Computing G * H took 7394ms
Reducing  G * H mod F took 7145ms
Computing roots of G took 49655ms
Building G from its roots took 41122ms
Computing G * H took 7520ms
Reducing  G * H mod F took 7113ms
Computing polyeval(F,G) took 78531ms
Computing product of all F(g_i) took 281ms
Step 2 took 606594ms
********** Factor found in step 2: 284763241834485695803469973689075429844141721921
Found probable prime factor of 48 digits: 284763241834485695803469973689075429844141721921
Composite cofactor 351168919681436550706639691350830523008589466749679249724568460421524488492082724180746474525452751729974385283201466582956436925397979941925041577525330888871230635507120823429547234455367 has 189 digits
software ソフトウェア
GMP-ECM

c189

name 名前Alfred Reich
date 日付August 26, 2020 10:20:04 UTC 2020 年 8 月 26 日 (水) 19 時 20 分 4 秒 (日本時間)
composite number 合成数
351168919681436550706639691350830523008589466749679249724568460421524488492082724180746474525452751729974385283201466582956436925397979941925041577525330888871230635507120823429547234455367<189>
prime factors 素因数
5897030991937562778654063122110553491461471976858705503770808038686307<70>
59550122792563864298004815718867731259480349668304517847492879147831761587120711371101745032801925109542026874583973581<119>
factorization results 素因数分解の結果
# siever: 14e
# sieving range: 6M - 107M (rational side)
# gnfs-lasieve4I14e -v -f 6000000 -c 101000000 -o out -r poly
# msieve -i ini -s out -l log -nf fb -nc
# ini
# N 351168919681436550706639691350830523008589466749679249724568460421524488492082724180746474525452751729974385283201466582956436925397979941925041577525330888871230635507120823429547234455367
# fb
# N 351168919681436550706639691350830523008589466749679249724568460421524488492082724180746474525452751729974385283201466582956436925397979941925041577525330888871230635507120823429547234455367
# SKEW 0.64
# R0 -1000000000000000000000000000000000000000
# R1 1
# A6 100
# A0 7
# poly
# n: 351168919681436550706639691350830523008589466749679249724568460421524488492082724180746474525452751729974385283201466582956436925397979941925041577525330888871230635507120823429547234455367
# m: 1000000000000000000000000000000000000000
# deg: 6
# c6: 100
# c0: 7
# skew: 0.64
# type: snfs
# lss: 1
# rlim: 60000000
# alim: 60000000
# lpbr: 30
# lpba: 30
# mfbr: 60
# mfba: 60
# rlambda: 2.6
# alambda: 2.6
Sat Aug 22 07:25:04 2020  
Sat Aug 22 07:25:04 2020  
Sat Aug 22 07:25:04 2020  Msieve v. 1.54 (SVN 1018)
Sat Aug 22 07:25:04 2020  random seeds: fb95a5a8 6600b87d
Sat Aug 22 07:25:04 2020  factoring 351168919681436550706639691350830523008589466749679249724568460421524488492082724180746474525452751729974385283201466582956436925397979941925041577525330888871230635507120823429547234455367 (189 digits)
Sat Aug 22 07:25:05 2020  searching for 15-digit factors
Sat Aug 22 07:25:05 2020  commencing number field sieve (189-digit input)
Sat Aug 22 07:25:05 2020  R0: -1000000000000000000000000000000000000000
Sat Aug 22 07:25:05 2020  R1: 1
Sat Aug 22 07:25:05 2020  A0: 7
Sat Aug 22 07:25:05 2020  A1: 0
Sat Aug 22 07:25:05 2020  A2: 0
Sat Aug 22 07:25:05 2020  A3: 0
Sat Aug 22 07:25:05 2020  A4: 0
Sat Aug 22 07:25:05 2020  A5: 0
Sat Aug 22 07:25:05 2020  A6: 100
Sat Aug 22 07:25:05 2020  skew 0.64, size 8.088e-012, alpha 0.920, combined = 5.565e-013 rroots = 0
Sat Aug 22 07:25:05 2020  
Sat Aug 22 07:25:05 2020  commencing relation filtering
Sat Aug 22 07:25:05 2020  estimated available RAM is 8051.3 MB
Sat Aug 22 07:25:05 2020  commencing duplicate removal, pass 1
...
Sat Aug 22 07:35:42 2020  skipped 2 relations with b > 2^32
Sat Aug 22 07:35:42 2020  skipped 1232 relations with composite factors
Sat Aug 22 07:35:42 2020  found 4169075 hash collisions in 82691679 relations
Sat Aug 22 07:35:52 2020  commencing duplicate removal, pass 2
Sat Aug 22 07:36:40 2020  found 1339545 duplicates and 81352134 unique relations
Sat Aug 22 07:36:40 2020  memory use: 261.2 MB
Sat Aug 22 07:36:40 2020  reading ideals above 59834368
Sat Aug 22 07:36:40 2020  commencing singleton removal, initial pass
Sat Aug 22 07:44:40 2020  memory use: 1506.0 MB
Sat Aug 22 07:44:40 2020  reading all ideals from disk
Sat Aug 22 07:44:41 2020  memory use: 1561.0 MB
Sat Aug 22 07:44:44 2020  commencing in-memory singleton removal
Sat Aug 22 07:44:48 2020  begin with 81352134 relations and 79170613 unique ideals
Sat Aug 22 07:45:19 2020  reduce to 39735172 relations and 31785467 ideals in 18 passes
Sat Aug 22 07:45:19 2020  max relations containing the same ideal: 28
Sat Aug 22 07:45:21 2020  reading ideals above 720000
Sat Aug 22 07:45:22 2020  commencing singleton removal, initial pass
Sat Aug 22 07:51:57 2020  memory use: 753.0 MB
Sat Aug 22 07:51:57 2020  reading all ideals from disk
Sat Aug 22 07:51:57 2020  memory use: 1503.9 MB
Sat Aug 22 07:52:02 2020  keeping 38675943 ideals with weight <= 200, target excess is 211580
Sat Aug 22 07:52:06 2020  commencing in-memory singleton removal
Sat Aug 22 07:52:11 2020  begin with 39735178 relations and 38675943 unique ideals
Sat Aug 22 07:52:48 2020  reduce to 39733260 relations and 38674024 ideals in 11 passes
Sat Aug 22 07:52:48 2020  max relations containing the same ideal: 200
Sat Aug 22 07:53:08 2020  removing 3742119 relations and 3342119 ideals in 400000 cliques
Sat Aug 22 07:53:09 2020  commencing in-memory singleton removal
Sat Aug 22 07:53:13 2020  begin with 35991141 relations and 38674024 unique ideals
Sat Aug 22 07:53:44 2020  reduce to 35680913 relations and 35017134 ideals in 10 passes
Sat Aug 22 07:53:44 2020  max relations containing the same ideal: 195
Sat Aug 22 07:54:02 2020  removing 2781309 relations and 2381309 ideals in 400000 cliques
Sat Aug 22 07:54:03 2020  commencing in-memory singleton removal
Sat Aug 22 07:54:07 2020  begin with 32899604 relations and 35017134 unique ideals
Sat Aug 22 07:54:32 2020  reduce to 32711540 relations and 32445451 ideals in 9 passes
Sat Aug 22 07:54:32 2020  max relations containing the same ideal: 186
Sat Aug 22 07:54:49 2020  removing 213125 relations and 192469 ideals in 20656 cliques
Sat Aug 22 07:54:50 2020  commencing in-memory singleton removal
Sat Aug 22 07:54:53 2020  begin with 32498415 relations and 32445451 unique ideals
Sat Aug 22 07:55:10 2020  reduce to 32497307 relations and 32251873 ideals in 6 passes
Sat Aug 22 07:55:10 2020  max relations containing the same ideal: 186
Sat Aug 22 07:55:17 2020  relations with 0 large ideals: 8089
Sat Aug 22 07:55:17 2020  relations with 1 large ideals: 1013
Sat Aug 22 07:55:17 2020  relations with 2 large ideals: 11200
Sat Aug 22 07:55:17 2020  relations with 3 large ideals: 119461
Sat Aug 22 07:55:17 2020  relations with 4 large ideals: 714802
Sat Aug 22 07:55:17 2020  relations with 5 large ideals: 2598218
Sat Aug 22 07:55:17 2020  relations with 6 large ideals: 5934013
Sat Aug 22 07:55:17 2020  relations with 7+ large ideals: 23110511
Sat Aug 22 07:55:17 2020  commencing 2-way merge
Sat Aug 22 07:55:42 2020  reduce to 20069425 relation sets and 19823991 unique ideals
Sat Aug 22 07:55:42 2020  commencing full merge
Sat Aug 22 08:01:09 2020  memory use: 2401.9 MB
Sat Aug 22 08:01:14 2020  found 10729657 cycles, need 10698191
Sat Aug 22 08:01:15 2020  weight of 10698191 cycles is about 748911140 (70.00/cycle)
Sat Aug 22 08:01:15 2020  distribution of cycle lengths:
Sat Aug 22 08:01:15 2020  1 relations: 1581015
Sat Aug 22 08:01:15 2020  2 relations: 1490663
Sat Aug 22 08:01:15 2020  3 relations: 1385607
Sat Aug 22 08:01:15 2020  4 relations: 1182971
Sat Aug 22 08:01:15 2020  5 relations: 976848
Sat Aug 22 08:01:15 2020  6 relations: 816593
Sat Aug 22 08:01:15 2020  7 relations: 672744
Sat Aug 22 08:01:15 2020  8 relations: 545883
Sat Aug 22 08:01:15 2020  9 relations: 443600
Sat Aug 22 08:01:15 2020  10+ relations: 1602267
Sat Aug 22 08:01:15 2020  heaviest cycle: 25 relations
Sat Aug 22 08:01:23 2020  commencing cycle optimization
Sat Aug 22 08:01:35 2020  start with 56847371 relations
Sat Aug 22 08:03:07 2020  pruned 1192083 relations
Sat Aug 22 08:03:08 2020  memory use: 1914.1 MB
Sat Aug 22 08:03:08 2020  distribution of cycle lengths:
Sat Aug 22 08:03:08 2020  1 relations: 1581015
Sat Aug 22 08:03:08 2020  2 relations: 1520758
Sat Aug 22 08:03:08 2020  3 relations: 1429500
Sat Aug 22 08:03:08 2020  4 relations: 1201989
Sat Aug 22 08:03:08 2020  5 relations: 992446
Sat Aug 22 08:03:08 2020  6 relations: 819204
Sat Aug 22 08:03:08 2020  7 relations: 670671
Sat Aug 22 08:03:08 2020  8 relations: 538877
Sat Aug 22 08:03:08 2020  9 relations: 435831
Sat Aug 22 08:03:08 2020  10+ relations: 1507900
Sat Aug 22 08:03:08 2020  heaviest cycle: 24 relations
Sat Aug 22 08:03:25 2020  RelProcTime: 2300
Sat Aug 22 08:03:25 2020  elapsed time 00:38:21
Sat Aug 22 06:20:41 2020  
Sat Aug 22 06:20:41 2020  
Sat Aug 22 06:20:41 2020  Msieve v. 1.54 (SVN 1030)
Sat Aug 22 06:20:41 2020  random seeds: 46749d9e 7ae372fe
Sat Aug 22 06:20:41 2020  factoring 351168919681436550706639691350830523008589466749679249724568460421524488492082724180746474525452751729974385283201466582956436925397979941925041577525330888871230635507120823429547234455367 (189 digits)
Sat Aug 22 06:20:42 2020  searching for 15-digit factors
Sat Aug 22 06:20:42 2020  commencing number field sieve (189-digit input)
Sat Aug 22 06:20:42 2020  R0: -1000000000000000000000000000000000000000
Sat Aug 22 06:20:42 2020  R1: 1
Sat Aug 22 06:20:42 2020  A0: 7
Sat Aug 22 06:20:42 2020  A1: 0
Sat Aug 22 06:20:42 2020  A2: 0
Sat Aug 22 06:20:42 2020  A3: 0
Sat Aug 22 06:20:42 2020  A4: 0
Sat Aug 22 06:20:42 2020  A5: 0
Sat Aug 22 06:20:42 2020  A6: 100
Sat Aug 22 06:20:42 2020  skew 0.64, size 8.088e-12, alpha 0.920, combined = 5.565e-13 rroots = 0
Sat Aug 22 06:20:42 2020  
Sat Aug 22 06:20:42 2020  commencing linear algebra
Sat Aug 22 06:20:44 2020  read 10698191 cycles
Sat Aug 22 06:21:06 2020  cycles contain 32260306 unique relations
Sat Aug 22 06:24:14 2020  read 32260306 relations
Sat Aug 22 06:24:50 2020  using 20 quadratic characters above 4294917295
Sat Aug 22 06:26:46 2020  building initial matrix
Sat Aug 22 06:32:43 2020  memory use: 4153.2 MB
Sat Aug 22 06:32:56 2020  read 10698191 cycles
Sat Aug 22 06:32:57 2020  matrix is 10698014 x 10698191 (3221.9 MB) with weight 937051074 (87.59/col)
Sat Aug 22 06:32:57 2020  sparse part has weight 726922761 (67.95/col)
Sat Aug 22 06:34:14 2020  filtering completed in 2 passes
Sat Aug 22 06:34:15 2020  matrix is 10694103 x 10694276 (3221.7 MB) with weight 936951932 (87.61/col)
Sat Aug 22 06:34:15 2020  sparse part has weight 726899760 (67.97/col)
Sat Aug 22 06:35:02 2020  matrix starts at (0, 0)
Sat Aug 22 06:35:02 2020  matrix is 10694103 x 10694276 (3221.7 MB) with weight 936951932 (87.61/col)
Sat Aug 22 06:35:02 2020  sparse part has weight 726899760 (67.97/col)
Sat Aug 22 06:35:02 2020  saving the first 48 matrix rows for later
Sat Aug 22 06:35:03 2020  matrix includes 64 packed rows
Sat Aug 22 06:35:04 2020  matrix is 10694055 x 10694276 (3081.2 MB) with weight 757194101 (70.80/col)
Sat Aug 22 06:35:04 2020  sparse part has weight 700775694 (65.53/col)
Sat Aug 22 06:35:04 2020  using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
Sat Aug 22 06:35:30 2020  commencing Lanczos iteration (28 threads)
Sat Aug 22 06:35:30 2020  memory use: 3059.6 MB
Sat Aug 22 06:35:40 2020  linear algebra at 0.0%, ETA 17h37m
Sat Aug 22 06:35:43 2020  checkpointing every 610000 dimensions
Sun Aug 23 00:08:42 2020  lanczos halted after 169117 iterations (dim = 10694053)
Sun Aug 23 00:08:50 2020  recovered 39 nontrivial dependencies
Sun Aug 23 00:08:50 2020  BLanczosTime: 64088
Sun Aug 23 00:08:50 2020  
Sun Aug 23 00:08:50 2020  commencing square root phase
Sun Aug 23 00:08:50 2020  reading relations for dependency 1
Sun Aug 23 00:08:51 2020  read 5347468 cycles
Sun Aug 23 00:08:58 2020  cycles contain 16129552 unique relations
Sun Aug 23 00:10:26 2020  read 16129552 relations
Sun Aug 23 00:11:25 2020  multiplying 16129552 relations
Sun Aug 23 00:19:44 2020  multiply complete, coefficients have about 498.39 million bits
Sun Aug 23 00:19:45 2020  initial square root is modulo 876225703
Sun Aug 23 00:29:14 2020  sqrtTime: 1224
Sun Aug 23 00:29:14 2020  p70 factor: 5897030991937562778654063122110553491461471976858705503770808038686307
Sun Aug 23 00:29:14 2020  p119 factor: 59550122792563864298004815718867731259480349668304517847492879147831761587120711371101745032801925109542026874583973581
Sun Aug 23 00:29:14 2020  elapsed time 18:08:33

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 20, 2012 19:35:14 UTC 2012 年 8 月 21 日 (火) 4 時 35 分 14 秒 (日本時間)
4511e62000Dmitry DomanovAugust 20, 2012 19:35:14 UTC 2012 年 8 月 21 日 (火) 4 時 35 分 14 秒 (日本時間)
5043e6800Dmitry DomanovAugust 22, 2012 19:42:15 UTC 2012 年 8 月 23 日 (木) 4 時 42 分 15 秒 (日本時間)
5511e70 / 7935--
6026e74050 / 41891yoyo@homeMay 10, 2013 13:25:05 UTC 2013 年 5 月 10 日 (金) 22 時 25 分 5 秒 (日本時間)

10237+7

c207

name 名前ivelive
date 日付June 25, 2020 08:30:59 UTC 2020 年 6 月 25 日 (木) 17 時 30 分 59 秒 (日本時間)
composite number 合成数
975609608928684116081475294054601386962662295325820947600168346181775986984108159187562986021878113053168198199610838767816804409957034706995201379252645401804140614390190994117143745115646109044126528537683<207>
prime factors 素因数
1878494772657853183336351154599006680637441<43>
composite cofactor 合成数の残り
519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963<165>
factorization results 素因数分解の結果
1878494772657853183336351154599006680637441, GMP-ECM B1=11000000, sigma=2789241295

c165

name 名前Alfred Reich
date 日付August 21, 2020 10:37:52 UTC 2020 年 8 月 21 日 (金) 19 時 37 分 52 秒 (日本時間)
composite number 合成数
519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963<165>
prime factors 素因数
407907300657850235806114522942542630790887242590563306292630293117035893018697483<81>
1273223365333819514531525465385490813131980749001750284674115726581952680164491705561<85>
factorization results 素因数分解の結果
# Searching polynomial with msieve-gpu in the range A5 = 1 .. 3000000000 (stepwise)
# msieve -i ini -s out -l log -nf fb -np1 -nps "stage1_norm=7e23 min_coeff=1 max_coeff=3000000000"
# Saving 0.1% of out.p.ms (with respect to the last entry)
# msieve -i ini -s out -l log -nf fb -npr "min_evalue=6.5e-13"
# Sieving "on the algebraic side" with gnfs-lasieve4I14e -v -f 11000000 -c 74000000 -o out -a poly
# poly:
# n: 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963
# skew: 8222946.15
# c0: 29670702678435332611401106297935876609017
# c1: 29936862671556952346809384526532623
# c2: 142735831591497488298571009
# c3: -811177166379608624243
# c4: -8245934095806
# c5: 5622120
# Y0: -39184399305404418927945310974054
# Y1: 4558576453133317
# rlim: 85000000
# alim: 85000000
# lpbr: 30
# lpba: 30
# mfbr: 60
# mfba: 60
# rlambda: 2.8
# alambda: 2.8
# fb:
# N 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963
# SKEW 8222946.15
# R0 -39184399305404418927945310974054
# R1 4558576453133317
# A0 29670702678435332611401106297935876609017
# A1 29936862671556952346809384526532623
# A2 142735831591497488298571009
# A3 -811177166379608624243
# A4 -8245934095806
# A5 5622120
# ini:
# 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963
# msieve -i ini -s out -l log -nf fb -nc -t 28
Fri Jul 24 17:53:23 2020  
Fri Jul 24 17:53:23 2020  
Fri Jul 24 17:53:23 2020  Msieve v. 1.54 (SVN 1018)
Fri Jul 24 17:53:23 2020  random seeds: 897e2170 704635ca
Fri Jul 24 17:53:23 2020  factoring 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963 (165 digits)
Fri Jul 24 17:53:23 2020  searching for 15-digit factors
Fri Jul 24 17:53:23 2020  commencing number field sieve (165-digit input)
Fri Jul 24 17:53:23 2020  commencing number field sieve polynomial selection
Fri Jul 24 17:53:23 2020  polynomial degree: 5
Fri Jul 24 17:53:23 2020  max stage 1 norm: 7.49e+024
Fri Jul 24 17:53:23 2020  max stage 2 norm: 1.79e+023
Fri Jul 24 17:53:23 2020  min E-value: 6.50e-013
Fri Jul 24 17:53:23 2020  poly select deadline: 1080000
Fri Jul 24 19:59:58 2020  polynomial selection complete
Fri Jul 24 19:59:58 2020  R0: -39184399305404418927945310974054
Fri Jul 24 19:59:58 2020  R1: 4558576453133317
Fri Jul 24 19:59:58 2020  A0: 29670702678435332611401106297935876609017
Fri Jul 24 19:59:58 2020  A1: 29936862671556952346809384526532623
Fri Jul 24 19:59:58 2020  A2: 142735831591497488298571009
Fri Jul 24 19:59:58 2020  A3: -811177166379608624243
Fri Jul 24 19:59:58 2020  A4: -8245934095806
Fri Jul 24 19:59:58 2020  A5: 5622120
Fri Jul 24 19:59:58 2020  skew 8222946.15, size 4.844e-016, alpha -8.427, combined = 7.207e-013 rroots = 3
Fri Jul 24 19:59:58 2020  elapsed time 02:06:35
Sat Aug 15 14:46:25 2020  
Sat Aug 15 14:46:25 2020  
Sat Aug 15 14:46:25 2020  Msieve v. 1.54 (SVN 1018)
Sat Aug 15 14:46:25 2020  random seeds: 3c52ae00 dce5f055
Sat Aug 15 14:46:25 2020  factoring 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963 (165 digits)
Sat Aug 15 14:46:27 2020  searching for 15-digit factors
Sat Aug 15 14:46:28 2020  commencing number field sieve (165-digit input)
Sat Aug 15 14:46:28 2020  R0: -39184399305404418927945310974054
Sat Aug 15 14:46:28 2020  R1: 4558576453133317
Sat Aug 15 14:46:28 2020  A0: 29670702678435332611401106297935876609017
Sat Aug 15 14:46:28 2020  A1: 29936862671556952346809384526532623
Sat Aug 15 14:46:28 2020  A2: 142735831591497488298571009
Sat Aug 15 14:46:28 2020  A3: -811177166379608624243
Sat Aug 15 14:46:28 2020  A4: -8245934095806
Sat Aug 15 14:46:28 2020  A5: 5622120
Sat Aug 15 14:46:28 2020  skew 8222946.15, size 4.844e-016, alpha -8.427, combined = 7.207e-013 rroots = 3
Sat Aug 15 14:46:28 2020  
Sat Aug 15 14:46:28 2020  commencing linear algebra
Sat Aug 15 14:46:33 2020  matrix starts at (0, 0)
Sat Aug 15 14:46:38 2020  matrix is 10384823 x 10385002 (3176.6 MB) with weight 995827541 (95.89/col)
Sat Aug 15 14:46:38 2020  sparse part has weight 708116334 (68.19/col)
Sat Aug 15 14:46:38 2020  saving the first 48 matrix rows for later
Sat Aug 15 14:46:41 2020  matrix includes 64 packed rows
Sat Aug 15 14:46:43 2020  matrix is 10384775 x 10385002 (3077.3 MB) with weight 794562210 (76.51/col)
Sat Aug 15 14:46:43 2020  sparse part has weight 702836487 (67.68/col)
Sat Aug 15 14:46:43 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Sat Aug 15 14:47:36 2020  commencing Lanczos iteration (32 threads)
Sat Aug 15 14:47:37 2020  memory use: 2497.6 MB
Sat Aug 15 14:47:37 2020  restarting at iteration 4018 (dim = 254100)
Sat Aug 15 14:48:03 2020  linear algebra at 2.5%, ETA 48h15m
Sat Aug 15 14:48:10 2020  checkpointing every 220000 dimensions
Sat Aug 15 20:53:26 2020  lanczos halted after 24463 iterations (dim = 1546582)
Sat Aug 15 20:53:29 2020  BLanczosTime: 22021
Sat Aug 15 20:53:29 2020  elapsed time 06:07:04
Sat Aug 15 20:55:20 2020  
Sat Aug 15 20:55:20 2020  
Sat Aug 15 20:55:20 2020  Msieve v. 1.54 (SVN 1018)
Sat Aug 15 20:55:20 2020  random seeds: 609ba948 055c2b14
Sat Aug 15 20:55:20 2020  factoring 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963 (165 digits)
Sat Aug 15 20:55:22 2020  searching for 15-digit factors
Sat Aug 15 20:55:23 2020  commencing number field sieve (165-digit input)
Sat Aug 15 20:55:23 2020  R0: -39184399305404418927945310974054
Sat Aug 15 20:55:23 2020  R1: 4558576453133317
Sat Aug 15 20:55:23 2020  A0: 29670702678435332611401106297935876609017
Sat Aug 15 20:55:23 2020  A1: 29936862671556952346809384526532623
Sat Aug 15 20:55:23 2020  A2: 142735831591497488298571009
Sat Aug 15 20:55:23 2020  A3: -811177166379608624243
Sat Aug 15 20:55:23 2020  A4: -8245934095806
Sat Aug 15 20:55:23 2020  A5: 5622120
Sat Aug 15 20:55:23 2020  skew 8222946.15, size 4.844e-016, alpha -8.427, combined = 7.207e-013 rroots = 3
Sat Aug 15 20:55:23 2020  
Sat Aug 15 20:55:23 2020  commencing linear algebra
Sat Aug 15 20:55:27 2020  matrix starts at (0, 0)
Sat Aug 15 20:55:31 2020  matrix is 10384823 x 10385002 (3176.6 MB) with weight 995827541 (95.89/col)
Sat Aug 15 20:55:31 2020  sparse part has weight 708116334 (68.19/col)
Sat Aug 15 20:55:31 2020  saving the first 48 matrix rows for later
Sat Aug 15 20:55:37 2020  matrix includes 64 packed rows
Sat Aug 15 20:55:40 2020  matrix is 10384775 x 10385002 (3077.3 MB) with weight 794562210 (76.51/col)
Sat Aug 15 20:55:40 2020  sparse part has weight 702836487 (67.68/col)
Sat Aug 15 20:55:40 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Sat Aug 15 20:56:39 2020  commencing Lanczos iteration (32 threads)
Sat Aug 15 20:56:39 2020  memory use: 2497.6 MB
Sat Aug 15 20:56:39 2020  restarting at iteration 24463 (dim = 1546582)
Sat Aug 15 20:57:05 2020  checkpointing every 210000 dimensions
Sat Aug 15 20:57:06 2020  linear algebra at 14.9%, ETA 43h36m
Mon Aug 17 10:21:13 2020  lanczos halted after 148786 iterations (dim = 9407738)
Mon Aug 17 10:21:17 2020  BLanczosTime: 134754
Mon Aug 17 10:21:17 2020  elapsed time 37:25:57
Mon Aug 17 10:21:53 2020  
Mon Aug 17 10:21:53 2020  
Mon Aug 17 10:21:53 2020  Msieve v. 1.54 (SVN 1018)
Mon Aug 17 10:21:53 2020  random seeds: e3edf720 f3c59b69
Mon Aug 17 10:21:53 2020  factoring 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963 (165 digits)
Mon Aug 17 10:21:55 2020  searching for 15-digit factors
Mon Aug 17 10:21:56 2020  commencing number field sieve (165-digit input)
Mon Aug 17 10:21:56 2020  R0: -39184399305404418927945310974054
Mon Aug 17 10:21:56 2020  R1: 4558576453133317
Mon Aug 17 10:21:56 2020  A0: 29670702678435332611401106297935876609017
Mon Aug 17 10:21:56 2020  A1: 29936862671556952346809384526532623
Mon Aug 17 10:21:56 2020  A2: 142735831591497488298571009
Mon Aug 17 10:21:56 2020  A3: -811177166379608624243
Mon Aug 17 10:21:56 2020  A4: -8245934095806
Mon Aug 17 10:21:56 2020  A5: 5622120
Mon Aug 17 10:21:56 2020  skew 8222946.15, size 4.844e-016, alpha -8.427, combined = 7.207e-013 rroots = 3
Mon Aug 17 10:21:56 2020  
Mon Aug 17 10:21:56 2020  commencing linear algebra
Mon Aug 17 10:22:01 2020  matrix starts at (0, 0)
Mon Aug 17 10:22:06 2020  matrix is 10384823 x 10385002 (3176.6 MB) with weight 995827541 (95.89/col)
Mon Aug 17 10:22:06 2020  sparse part has weight 708116334 (68.19/col)
Mon Aug 17 10:22:06 2020  saving the first 48 matrix rows for later
Mon Aug 17 10:22:12 2020  matrix includes 64 packed rows
Mon Aug 17 10:22:16 2020  matrix is 10384775 x 10385002 (3077.3 MB) with weight 794562210 (76.51/col)
Mon Aug 17 10:22:16 2020  sparse part has weight 702836487 (67.68/col)
Mon Aug 17 10:22:16 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Mon Aug 17 10:23:15 2020  commencing Lanczos iteration (16 threads)
Mon Aug 17 10:23:15 2020  memory use: 2497.3 MB
Mon Aug 17 10:23:15 2020  restarting at iteration 148786 (dim = 9407738)
Mon Aug 17 10:23:41 2020  linear algebra at 90.6%, ETA 4h38m
Mon Aug 17 10:23:53 2020  checkpointing every 220000 dimensions
Mon Aug 17 10:27:19 2020  lanczos halted after 149030 iterations (dim = 9423154)
Mon Aug 17 10:27:23 2020  BLanczosTime: 327
Mon Aug 17 10:27:23 2020  elapsed time 00:05:30
Mon Aug 17 10:27:31 2020  
Mon Aug 17 10:27:31 2020  
Mon Aug 17 10:27:31 2020  Msieve v. 1.54 (SVN 1018)
Mon Aug 17 10:27:31 2020  random seeds: 322d6788 1539f67f
Mon Aug 17 10:27:31 2020  factoring 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963 (165 digits)
Mon Aug 17 10:27:33 2020  searching for 15-digit factors
Mon Aug 17 10:27:34 2020  commencing number field sieve (165-digit input)
Mon Aug 17 10:27:34 2020  R0: -39184399305404418927945310974054
Mon Aug 17 10:27:34 2020  R1: 4558576453133317
Mon Aug 17 10:27:34 2020  A0: 29670702678435332611401106297935876609017
Mon Aug 17 10:27:34 2020  A1: 29936862671556952346809384526532623
Mon Aug 17 10:27:34 2020  A2: 142735831591497488298571009
Mon Aug 17 10:27:34 2020  A3: -811177166379608624243
Mon Aug 17 10:27:34 2020  A4: -8245934095806
Mon Aug 17 10:27:34 2020  A5: 5622120
Mon Aug 17 10:27:34 2020  skew 8222946.15, size 4.844e-016, alpha -8.427, combined = 7.207e-013 rroots = 3
Mon Aug 17 10:27:34 2020  
Mon Aug 17 10:27:34 2020  commencing linear algebra
Mon Aug 17 10:27:38 2020  matrix starts at (0, 0)
Mon Aug 17 10:27:41 2020  matrix is 10384823 x 10385002 (3176.6 MB) with weight 995827541 (95.89/col)
Mon Aug 17 10:27:41 2020  sparse part has weight 708116334 (68.19/col)
Mon Aug 17 10:27:41 2020  saving the first 48 matrix rows for later
Mon Aug 17 10:27:46 2020  matrix includes 64 packed rows
Mon Aug 17 10:27:48 2020  matrix is 10384775 x 10385002 (3077.3 MB) with weight 794562210 (76.51/col)
Mon Aug 17 10:27:48 2020  sparse part has weight 702836487 (67.68/col)
Mon Aug 17 10:27:48 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Mon Aug 17 10:28:49 2020  commencing Lanczos iteration (24 threads)
Mon Aug 17 10:28:49 2020  memory use: 2497.5 MB
Mon Aug 17 10:28:49 2020  restarting at iteration 149030 (dim = 9423154)
Mon Aug 17 10:29:02 2020  checkpointing every 250000 dimensions
Mon Aug 17 10:29:12 2020  linear algebra at 90.8%, ETA 4h 3m
Mon Aug 17 16:05:52 2020  lanczos halted after 164238 iterations (dim = 10384775)
Mon Aug 17 16:06:04 2020  recovered 31 nontrivial dependencies
Mon Aug 17 16:06:07 2020  BLanczosTime: 20313
Mon Aug 17 16:06:07 2020  elapsed time 05:38:36
Mon Aug 17 16:17:59 2020  
Mon Aug 17 16:17:59 2020  
Mon Aug 17 16:17:59 2020  Msieve v. 1.54 (SVN 1018)
Mon Aug 17 16:17:59 2020  random seeds: 78424b88 38aa4c37
Mon Aug 17 16:17:59 2020  factoring 519357106087822207978573184294159547808818202229157903715806895428414552805839590015368685977916193984924099981723556032729740480155349604978541368604721841367802963 (165 digits)
Mon Aug 17 16:18:00 2020  searching for 15-digit factors
Mon Aug 17 16:18:01 2020  commencing number field sieve (165-digit input)
Mon Aug 17 16:18:01 2020  R0: -39184399305404418927945310974054
Mon Aug 17 16:18:01 2020  R1: 4558576453133317
Mon Aug 17 16:18:01 2020  A0: 29670702678435332611401106297935876609017
Mon Aug 17 16:18:01 2020  A1: 29936862671556952346809384526532623
Mon Aug 17 16:18:01 2020  A2: 142735831591497488298571009
Mon Aug 17 16:18:01 2020  A3: -811177166379608624243
Mon Aug 17 16:18:01 2020  A4: -8245934095806
Mon Aug 17 16:18:01 2020  A5: 5622120
Mon Aug 17 16:18:01 2020  skew 8222946.15, size 4.844e-016, alpha -8.427, combined = 7.207e-013 rroots = 3
Mon Aug 17 16:18:01 2020  
Mon Aug 17 16:18:01 2020  commencing square root phase
Mon Aug 17 16:18:01 2020  reading relations for dependency 1
Mon Aug 17 16:18:04 2020  read 5192313 cycles
Mon Aug 17 16:18:12 2020  cycles contain 16432672 unique relations
Mon Aug 17 16:22:11 2020  read 16432672 relations
Mon Aug 17 16:24:13 2020  multiplying 16432672 relations
Mon Aug 17 16:59:27 2020  multiply complete, coefficients have about 953.24 million bits
Mon Aug 17 16:59:39 2020  initial square root is modulo 356474567
Mon Aug 17 17:47:04 2020  sqrtTime: 5343
Mon Aug 17 17:47:04 2020  p81 factor: 407907300657850235806114522942542630790887242590563306292630293117035893018697483
Mon Aug 17 17:47:04 2020  p85 factor: 1273223365333819514531525465385490813131980749001750284674115726581952680164491705561
Mon Aug 17 17:47:04 2020  elapsed time 01:29:05

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:46:15 UTC 2012 年 8 月 22 日 (水) 5 時 46 分 15 秒 (日本時間)
4511e61300 / 42541000Dmitry DomanovAugust 21, 2012 20:46:15 UTC 2012 年 8 月 22 日 (水) 5 時 46 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:54 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 54 秒 (日本時間)

10239+7

c236

name 名前Dmitry Domanov
date 日付August 21, 2012 12:23:44 UTC 2012 年 8 月 21 日 (火) 21 時 23 分 44 秒 (日本時間)
composite number 合成数
47370914258645191852202747513027001421127427759355755566082425390810042633822832780672666982472761724301279014684983420180009474182851729038370440549502605400284225485551871151113216485078162008526764566556134533396494552344860255802937<236>
prime factors 素因数
751605145940875491128943989759874534529280881<45>
composite cofactor 合成数の残り
63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177<191>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3738880862
Step 1 took 136157ms
Step 2 took 40469ms
********** Factor found in step 2: 751605145940875491128943989759874534529280881
Found probable prime factor of 45 digits: 751605145940875491128943989759874534529280881

c191

name 名前Alfred Reich
date 日付October 26, 2020 09:04:00 UTC 2020 年 10 月 26 日 (月) 18 時 4 分 0 秒 (日本時間)
composite number 合成数
63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177<191>
prime factors 素因数
9375334651810151700379339996049646490428209523427082433961764497<64>
6722568605926431281768517067942433942261558527894369603630635430976513573924787669731269154869016089481840932231164598452272441<127>
factorization results 素因数分解の結果
# p64 - 1 = 2^4 * 19 * 47 * 5791 * 4184334347 * 1932328917490229129 * 14013749168456066457701633249
# p64 + 1 = 2 * 3 * 294157 * 154258333 * 34435604157927959730931534363193549387267448742043
# p127 - 1 = 2^3 * 5 * 43 * 6517859182433 * 599655501956657417935327256046958680659578996652383076379319156763745597967784887069814967278974131942988709969
# p127 + 1 = 2 * 3 * 17 * 23743 * 784513 * 2118366571 * 1670314378953377457869914614920327095384324747699738815607260643820426590609195675288652903145093706521139
# siever: 14e
# sieving range (not exhausted) 5M - 71M
# gnfs-lasieve4i14e -v -f 5000000 -c 66000000 -o out -r poly
# msieve -i ini -s out -l log -nf fb -nc "target_density=80" -t 32
# ini:
# 63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177
# fb:
# N 63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177
# R0 -10000000000000000000000000000000000000000
# R1 1
# A6 1
# A0 70
# poly:
# n: 63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177
# m: 10000000000000000000000000000000000000000
# c6: 1
# c0: 70
# skew: 2.03
# rlim: 70000000
# alim: 70000000
# lpbr: 30
# lpba: 30
# mfbr: 61
# mfba: 61
# rlambda: 2.7
# alambda: 2.7
Sat Oct 24 16:46:20 2020  
Sat Oct 24 16:46:20 2020  
Sat Oct 24 16:46:20 2020  Msieve v. 1.54 (SVN 1018)
Sat Oct 24 16:46:20 2020  random seeds: 1d199114 49db6bcb
Sat Oct 24 16:46:20 2020  factoring 63026330400313135539742790154239175277903353880088382458511131520940297482746932010039043155723308072711305349377137461027980594344835671821685339354112008498799840178437299235785735725327177 (191 digits)
Sat Oct 24 16:46:22 2020  searching for 15-digit factors
Sat Oct 24 16:46:23 2020  commencing number field sieve (191-digit input)
Sat Oct 24 16:46:23 2020  R0: -10000000000000000000000000000000000000000
Sat Oct 24 16:46:23 2020  R1: 1
Sat Oct 24 16:46:23 2020  A0: 70
Sat Oct 24 16:46:23 2020  A1: 0
Sat Oct 24 16:46:23 2020  A2: 0
Sat Oct 24 16:46:23 2020  A3: 0
Sat Oct 24 16:46:23 2020  A4: 0
Sat Oct 24 16:46:23 2020  A5: 0
Sat Oct 24 16:46:23 2020  A6: 1
Sat Oct 24 16:46:23 2020  skew 1.00, size 7.085e-012, alpha 0.808, combined = 4.752e-013 rroots = 0
Sat Oct 24 16:46:23 2020  
Sat Oct 24 16:46:23 2020  commencing relation filtering
Sat Oct 24 16:46:23 2020  setting target matrix density to 80.0
Sat Oct 24 16:46:23 2020  estimated available RAM is 16307.6 MB
Sat Oct 24 16:46:23 2020  commencing duplicate removal, pass 1
Sat Oct 24 17:03:31 2020  error -9 reading relation 85576497
Sat Oct 24 17:04:13 2020  error -15 reading relation 89104374
Sat Oct 24 17:04:21 2020  error -9 reading relation 89604107
Sat Oct 24 17:04:22 2020  error -5 reading relation 89758497
Sat Oct 24 17:07:13 2020  skipped 3 relations with b > 2^32
Sat Oct 24 17:07:13 2020  skipped 2 relations with composite factors
Sat Oct 24 17:07:13 2020  found 22901962 hash collisions in 104134457 relations
Sat Oct 24 17:07:53 2020  added 1219300 free relations
Sat Oct 24 17:07:53 2020  commencing duplicate removal, pass 2
Sat Oct 24 17:10:35 2020  found 23882653 duplicates and 81471104 unique relations
Sat Oct 24 17:10:35 2020  memory use: 660.8 MB
Sat Oct 24 17:10:35 2020  reading ideals above 71106560
Sat Oct 24 17:10:35 2020  commencing singleton removal, initial pass
Sat Oct 24 17:25:37 2020  memory use: 1506.0 MB
Sat Oct 24 17:25:37 2020  reading all ideals from disk
Sat Oct 24 17:25:38 2020  memory use: 1426.6 MB
Sat Oct 24 17:25:44 2020  commencing in-memory singleton removal
Sat Oct 24 17:25:47 2020  begin with 81471104 relations and 77998074 unique ideals
Sat Oct 24 17:26:31 2020  reduce to 39628639 relations and 30383278 ideals in 20 passes
Sat Oct 24 17:26:31 2020  max relations containing the same ideal: 25
Sat Oct 24 17:26:34 2020  reading ideals above 720000
Sat Oct 24 17:26:35 2020  commencing singleton removal, initial pass
Sat Oct 24 17:38:52 2020  memory use: 753.0 MB
Sat Oct 24 17:38:52 2020  reading all ideals from disk
Sat Oct 24 17:38:54 2020  memory use: 1503.1 MB
Sat Oct 24 17:39:01 2020  keeping 38525451 ideals with weight <= 200, target excess is 211812
Sat Oct 24 17:39:05 2020  commencing in-memory singleton removal
Sat Oct 24 17:39:09 2020  begin with 39628648 relations and 38525451 unique ideals
Sat Oct 24 17:39:53 2020  reduce to 39617426 relations and 38514192 ideals in 11 passes
Sat Oct 24 17:39:53 2020  max relations containing the same ideal: 200
Sat Oct 24 17:40:25 2020  removing 3831351 relations and 3431351 ideals in 400000 cliques
Sat Oct 24 17:40:27 2020  commencing in-memory singleton removal
Sat Oct 24 17:40:32 2020  begin with 35786075 relations and 38514192 unique ideals
Sat Oct 24 17:41:25 2020  reduce to 35443931 relations and 34735588 ideals in 12 passes
Sat Oct 24 17:41:25 2020  max relations containing the same ideal: 193
Sat Oct 24 17:41:46 2020  removing 2867711 relations and 2467711 ideals in 400000 cliques
Sat Oct 24 17:41:47 2020  commencing in-memory singleton removal
Sat Oct 24 17:41:51 2020  begin with 32576220 relations and 34735588 unique ideals
Sat Oct 24 17:42:27 2020  reduce to 32364748 relations and 32053668 ideals in 11 passes
Sat Oct 24 17:42:27 2020  max relations containing the same ideal: 183
Sat Oct 24 17:42:46 2020  removing 592346 relations and 526968 ideals in 65378 cliques
Sat Oct 24 17:42:46 2020  commencing in-memory singleton removal
Sat Oct 24 17:42:50 2020  begin with 31772402 relations and 32053668 unique ideals
Sat Oct 24 17:43:12 2020  reduce to 31763544 relations and 31517817 ideals in 7 passes
Sat Oct 24 17:43:12 2020  max relations containing the same ideal: 181
Sat Oct 24 17:43:21 2020  relations with 0 large ideals: 8126
Sat Oct 24 17:43:21 2020  relations with 1 large ideals: 814
Sat Oct 24 17:43:21 2020  relations with 2 large ideals: 10595
Sat Oct 24 17:43:21 2020  relations with 3 large ideals: 111835
Sat Oct 24 17:43:21 2020  relations with 4 large ideals: 679115
Sat Oct 24 17:43:21 2020  relations with 5 large ideals: 2490191
Sat Oct 24 17:43:21 2020  relations with 6 large ideals: 5742743
Sat Oct 24 17:43:21 2020  relations with 7+ large ideals: 22720125
Sat Oct 24 17:43:21 2020  commencing 2-way merge
Sat Oct 24 17:43:49 2020  reduce to 19292434 relation sets and 19046707 unique ideals
Sat Oct 24 17:43:49 2020  commencing full merge
Sat Oct 24 17:51:10 2020  memory use: 2339.0 MB
Sat Oct 24 17:51:15 2020  found 9686412 cycles, need 9660907
Sat Oct 24 17:51:15 2020  weight of 9660907 cycles is about 773039752 (80.02/cycle)
Sat Oct 24 17:51:15 2020  distribution of cycle lengths:
Sat Oct 24 17:51:15 2020  1 relations: 1296785
Sat Oct 24 17:51:15 2020  2 relations: 1160780
Sat Oct 24 17:51:15 2020  3 relations: 1086233
Sat Oct 24 17:51:15 2020  4 relations: 956319
Sat Oct 24 17:51:15 2020  5 relations: 852058
Sat Oct 24 17:51:15 2020  6 relations: 714514
Sat Oct 24 17:51:15 2020  7 relations: 621082
Sat Oct 24 17:51:15 2020  8 relations: 528635
Sat Oct 24 17:51:15 2020  9 relations: 445378
Sat Oct 24 17:51:15 2020  10+ relations: 1999123
Sat Oct 24 17:51:15 2020  heaviest cycle: 28 relations
Sat Oct 24 17:51:23 2020  commencing cycle optimization
Sat Oct 24 17:51:37 2020  start with 58896643 relations
Sat Oct 24 17:53:39 2020  pruned 1394703 relations
Sat Oct 24 17:53:39 2020  memory use: 1902.4 MB
Sat Oct 24 17:53:39 2020  distribution of cycle lengths:
Sat Oct 24 17:53:39 2020  1 relations: 1296785
Sat Oct 24 17:53:39 2020  2 relations: 1184396
Sat Oct 24 17:53:39 2020  3 relations: 1121979
Sat Oct 24 17:53:39 2020  4 relations: 977513
Sat Oct 24 17:53:39 2020  5 relations: 869614
Sat Oct 24 17:53:39 2020  6 relations: 722875
Sat Oct 24 17:53:39 2020  7 relations: 625471
Sat Oct 24 17:53:39 2020  8 relations: 527054
Sat Oct 24 17:53:39 2020  9 relations: 441026
Sat Oct 24 17:53:39 2020  10+ relations: 1894194
Sat Oct 24 17:53:39 2020  heaviest cycle: 27 relations
Sat Oct 24 17:53:57 2020  RelProcTime: 4054
Sat Oct 24 17:53:57 2020  
Sat Oct 24 17:53:57 2020  commencing linear algebra
Sat Oct 24 17:54:00 2020  read 9660907 cycles
Sat Oct 24 17:54:19 2020  cycles contain 31531160 unique relations
Sat Oct 24 17:59:40 2020  read 31531160 relations
Sat Oct 24 18:00:55 2020  using 20 quadratic characters above 4294917295
Sat Oct 24 18:03:31 2020  building initial matrix
Sat Oct 24 18:10:32 2020  memory use: 4014.8 MB
Sat Oct 24 18:10:52 2020  read 9660907 cycles
Sat Oct 24 18:10:56 2020  matrix is 9660730 x 9660907 (3268.7 MB) with weight 966552930 (100.05/col)
Sat Oct 24 18:10:56 2020  sparse part has weight 750596708 (77.69/col)
Sat Oct 24 18:13:06 2020  filtering completed in 2 passes
Sat Oct 24 18:13:08 2020  matrix is 9657827 x 9658003 (3268.5 MB) with weight 966467442 (100.07/col)
Sat Oct 24 18:13:08 2020  sparse part has weight 750576353 (77.72/col)
Sat Oct 24 18:14:24 2020  matrix starts at (0, 0)
Sat Oct 24 18:14:28 2020  matrix is 9657827 x 9658003 (3268.5 MB) with weight 966467442 (100.07/col)
Sat Oct 24 18:14:28 2020  sparse part has weight 750576353 (77.72/col)
Sat Oct 24 18:14:28 2020  saving the first 48 matrix rows for later
Sat Oct 24 18:14:33 2020  matrix includes 64 packed rows
Sat Oct 24 18:14:37 2020  matrix is 9657779 x 9658003 (3148.5 MB) with weight 794179300 (82.23/col)
Sat Oct 24 18:14:37 2020  sparse part has weight 728780019 (75.46/col)
Sat Oct 24 18:14:37 2020  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Sat Oct 24 18:15:33 2020  commencing Lanczos iteration (32 threads)
Sat Oct 24 18:15:33 2020  memory use: 2624.0 MB
Sat Oct 24 18:16:02 2020  linear algebra at 0.0%, ETA 47h42m
Sat Oct 24 18:16:12 2020  checkpointing every 200000 dimensions
Mon Oct 26 07:29:34 2020  lanczos halted after 152730 iterations (dim = 9657777)
Mon Oct 26 07:29:50 2020  recovered 36 nontrivial dependencies
Mon Oct 26 07:29:53 2020  BLanczosTime: 138956
Mon Oct 26 07:29:53 2020  
Mon Oct 26 07:29:53 2020  commencing square root phase
Mon Oct 26 07:29:53 2020  handling dependencies 1 to 64
Mon Oct 26 07:29:53 2020  reading relations for dependency 1
Mon Oct 26 07:29:56 2020  read 4827970 cycles
Mon Oct 26 07:30:06 2020  cycles contain 15766230 unique relations
Mon Oct 26 07:35:18 2020  read 15766230 relations
Mon Oct 26 07:36:55 2020  multiplying 15766230 relations
Mon Oct 26 07:51:09 2020  multiply complete, coefficients have about 396.76 million bits
Mon Oct 26 07:51:11 2020  initial square root is modulo 13154671
Mon Oct 26 08:05:15 2020  sqrtTime: 2122
Mon Oct 26 08:05:15 2020  p64 factor: 9375334651810151700379339996049646490428209523427082433961764497
Mon Oct 26 08:05:15 2020  p127 factor: 6722568605926431281768517067942433942261558527894369603630635430976513573924787669731269154869016089481840932231164598452272441
Mon Oct 26 08:05:15 2020  elapsed time 40:18:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 20, 2012 19:34:40 UTC 2012 年 8 月 21 日 (火) 4 時 34 分 40 秒 (日本時間)
4511e62300 / 42542000Dmitry DomanovAugust 20, 2012 19:34:40 UTC 2012 年 8 月 21 日 (火) 4 時 34 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:54 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 54 秒 (日本時間)

10242+7

c236

name 名前Dmitry Domanov
date 日付August 18, 2012 11:28:55 UTC 2012 年 8 月 18 日 (土) 20 時 28 分 55 秒 (日本時間)
composite number 合成数
62427155313143975124027150818388792577660941888433933653667876296846117686424653232759024313504179810183991554854429237883045221607037288364140094027781332657455331809694562657199380472910672359190869154555278309622459292812699181642421<236>
prime factors 素因数
1296501918262629932336916762401<31>
48150453488568016744216397608115306014855977095231407234474339496783556372115764249615910777658877054723338780120776863804276173471550556479935199709896560000792162287504532403958207923580668768608812832021<206>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=582819795
Step 1 took 52032ms
Step 2 took 16213ms
********** Factor found in step 2: 1296501918262629932336916762401
Found probable prime factor of 31 digits: 1296501918262629932336916762401

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)

10245+7

c206

name 名前Serge Batalov
date 日付August 18, 2012 02:19:19 UTC 2012 年 8 月 18 日 (土) 11 時 19 分 19 秒 (日本時間)
composite number 合成数
36536218086814667537049200112054287779486665370105533432343315931071799677028653974591831729963763884451192432361998575367595296185904736755770846130317464609256311942023255840290189523920714948162083916763<206>
prime factors 素因数
6372113694757314971141508664643<31>
18719993955682779090894401305867<32>
composite cofactor 合成数の残り
306291095123450879888152698826973310033894075466904967764801351788360510471632840827218119567526380241570847705008525525550458779355183549169723<144>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3161508023
Step 1 took 11337ms
Step 2 took 7092ms
********** Factor found in step 2: 18719993955682779090894401305867
Found probable prime factor of 32 digits: 18719993955682779090894401305867
Composite cofactor has 175 digits

Input number is 36536218086814667537049200112054287779486665370105533432343315931071799677028653974591831729963763884451192432361998575367595296185904736755770846130317464609256311942023255840290189523920714948162083916763 (206 digits)
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2768259145
Step 1 took 11105ms
Step 2 took 6992ms
********** Factor found in step 2: 6372113694757314971141508664643
Found probable prime factor of 31 digits: 6372113694757314971141508664643
Composite cofactor has (175)--->    144 digits

c144

name 名前Dmitry Domanov
date 日付August 19, 2012 09:44:48 UTC 2012 年 8 月 19 日 (日) 18 時 44 分 48 秒 (日本時間)
composite number 合成数
306291095123450879888152698826973310033894075466904967764801351788360510471632840827218119567526380241570847705008525525550458779355183549169723<144>
prime factors 素因数
2314976817016370033066928900744259<34>
132308493489887499583840408395800897454315310688442636330101006353638482645741002200148915151384736946174947497<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1821267549
Step 1 took 33776ms
Step 2 took 11813ms
********** Factor found in step 2: 2314976817016370033066928900744259
Found probable prime factor of 34 digits: 2314976817016370033066928900744259

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)

10246+7

c247

name 名前NFS@Home + Dmitry Domanov
date 日付April 10, 2016 06:38:04 UTC 2016 年 4 月 10 日 (日) 15 時 38 分 4 秒 (日本時間)
composite number 合成数
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<247>
prime factors 素因数
60165844998490249229875772005850193896086858292743579409020446596677606993520932226579989079718232269908449<107>
16620725596475760512784333837955342706476327308083513172242469232231446977901981919077023860933002718387640889541806766973201100566876698343<140>
factorization results 素因数分解の結果
prp107 factor: 60165844998490249229875772005850193896086858292743579409020446596677606993520932226579989079718232269908449
prp140 factor: 16620725596475760512784333837955342706476327308083513172242469232231446977901981919077023860933002718387640889541806766973201100566876698343
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
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e62050400Serge BatalovAugust 17, 2012 23:07:53 UTC 2012 年 8 月 18 日 (土) 8 時 7 分 53 秒 (日本時間)
650Serge BatalovAugust 18, 2012 02:11:04 UTC 2012 年 8 月 18 日 (土) 11 時 11 分 4 秒 (日本時間)
1000Dmitry DomanovAugust 20, 2012 19:33:51 UTC 2012 年 8 月 21 日 (火) 4 時 33 分 51 秒 (日本時間)
4511e62500Dmitry DomanovAugust 20, 2012 19:33:51 UTC 2012 年 8 月 21 日 (火) 4 時 33 分 51 秒 (日本時間)
5043e6640Dmitry DomanovAugust 21, 2012 20:57:42 UTC 2012 年 8 月 22 日 (水) 5 時 57 分 42 秒 (日本時間)
5511e72615 / 17368yoyo@homeJanuary 13, 2013 21:20:05 UTC 2013 年 1 月 14 日 (月) 6 時 20 分 5 秒 (日本時間)

10247+7

c213

composite cofactor 合成数の残り
409140128459620503477968910783226760740407704555391877386205359093562872660951857179992335825091521186336584016783801696798926097110612232577823070435136318019391947943186963864372246562476165994436831992039684163<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:44:15 UTC 2012 年 8 月 22 日 (水) 5 時 44 分 15 秒 (日本時間)
4511e645001000Dmitry DomanovAugust 21, 2012 20:44:15 UTC 2012 年 8 月 22 日 (水) 5 時 44 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:55 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 55 秒 (日本時間)
3200ebinaDecember 10, 2021 21:56:39 UTC 2021 年 12 月 11 日 (土) 6 時 56 分 39 秒 (日本時間)

10249+7

c206

composite cofactor 合成数の残り
49204840105445152255928549433609915772821141162168137636551042827812782086027794457239925858591939644882845362789634450448361125534202405309477346949346407437404500016719070844215715271583601170489256597769<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 21, 2012 20:45:33 UTC 2012 年 8 月 22 日 (水) 5 時 45 分 33 秒 (日本時間)
4511e653001000Dmitry DomanovAugust 21, 2012 20:45:33 UTC 2012 年 8 月 22 日 (水) 5 時 45 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:29:55 UTC 2014 年 5 月 27 日 (火) 9 時 29 分 55 秒 (日本時間)
4000ebinaNovember 15, 2021 14:19:06 UTC 2021 年 11 月 15 日 (月) 23 時 19 分 6 秒 (日本時間)

10250+7

c235

name 名前Dmitry Domanov
date 日付August 21, 2012 12:24:35 UTC 2012 年 8 月 21 日 (火) 21 時 24 分 35 秒 (日本時間)
composite number 合成数
3318212085971232220148676733819245698143669340759206286716716046237824771468917570698369339707970396637026282537640451134124960024700325444848105085604047781598787275151036402048765019514675954000145513140225780223211117529309335656213<235>
prime factors 素因数
2724751732734922986275124654575904700579<40>
composite cofactor 合成数の残り
1217803459341462110542580636789102035067754434822297349743887834574550369801059114598804620868627145926806135676315886305115074832555994626098921934709350898486787403667348240314512249092818851047<196>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=438731613
Step 1 took 133858ms
Step 2 took 39016ms
********** Factor found in step 2: 2724751732734922986275124654575904700579
Found probable prime factor of 40 digits: 2724751732734922986275124654575904700579

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaAugust 17, 2012 10:00:00 UTC 2012 年 8 月 17 日 (金) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovAugust 20, 2012 19:32:55 UTC 2012 年 8 月 21 日 (火) 4 時 32 分 55 秒 (日本時間)
4511e62000Dmitry DomanovAugust 20, 2012 19:32:55 UTC 2012 年 8 月 21 日 (火) 4 時 32 分 55 秒 (日本時間)
5043e67200800Dmitry DomanovAugust 21, 2012 20:56:59 UTC 2012 年 8 月 22 日 (水) 5 時 56 分 59 秒 (日本時間)
6400ebinaDecember 12, 2021 23:00:22 UTC 2021 年 12 月 13 日 (月) 8 時 0 分 22 秒 (日本時間)

10252+7

c225

composite cofactor 合成数の残り
198865582357731982296995956694606562772809372476216518468936823508345668821873990623619898855861368090522469759832248763171807733898045093548767929230947008444391655283523093715420478950948793727047429664850404928589961189833<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:34:34 UTC 2016 年 3 月 11 日 (金) 18 時 34 分 34 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 4, 2016 23:57:41 UTC 2016 年 10 月 5 日 (水) 8 時 57 分 41 秒 (日本時間)

10253+7

c236

name 名前ivelive
date 日付June 2, 2020 01:54:44 UTC 2020 年 6 月 2 日 (火) 10 時 54 分 44 秒 (日本時間)
composite number 合成数
29582294695876642360835017608029415496403182590201676795527029749110073488630641708569827329626832409698028517897604563274962020228785993452787559735457248125594935599906189548469591436721630233214483724678520223263794921276282871632929<236>
prime factors 素因数
808310624624257900715709928402223615501<39>
composite cofactor 合成数の残り
36597681379764038102808720186327462695982069226124323136241182896208810759662248318277548800064707352933058835725761362554567084047197499020475677608393433722413616032204932334499059059031854083429<197>
factorization results 素因数分解の結果
808310624624257900715709928402223615501, GMP-ECM 5.1.1 B1=11000000, sigma=1810449647
software ソフトウェア
GMP-ECM 6.3

c197

name 名前ivelive
date 日付June 2, 2020 15:08:53 UTC 2020 年 6 月 3 日 (水) 0 時 8 分 53 秒 (日本時間)
composite number 合成数
36597681379764038102808720186327462695982069226124323136241182896208810759662248318277548800064707352933058835725761362554567084047197499020475677608393433722413616032204932334499059059031854083429<197>
prime factors 素因数
16046975541304864670188099003153323924105478309<47>
2280659136393753521667473688760125768233838333617337692053160219278377650517342126737379500411605450633579746741027960420766027459364597315074976095681<151>
factorization results 素因数分解の結果
16046975541304864670188099003153323924105478309, B1=11000000, sigma=275209356, GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:34:47 UTC 2016 年 3 月 11 日 (金) 18 時 34 分 47 秒 (日本時間)
4511e62477 / 4346600Dmitry DomanovOctober 4, 2016 23:57:11 UTC 2016 年 10 月 5 日 (水) 8 時 57 分 11 秒 (日本時間)
1877iveliveJune 1, 2020 06:05:17 UTC 2020 年 6 月 1 日 (月) 15 時 5 分 17 秒 (日本時間)

10254+7

c239

name 名前Dmitry Domanov
date 日付March 11, 2016 10:45:03 UTC 2016 年 3 月 11 日 (金) 19 時 45 分 3 秒 (日本時間)
composite number 合成数
41615276173575442306435581158520190717663401157089585004464437403607898747533541109426919643177242253237162774321056900229571523132207764316418441824208206708351836157253961818191147686497379764048326737818923544717335453314949308925888967<239>
prime factors 素因数
15128334358221270520941692841781<32>
composite cofactor 合成数の残り
2750816791073911802687531587560387779570684079392449290310118802715723161216555073131825476907550158302230997391222084588611447110518430880094728087147074557247617404532711537364472695259615101061752624826507<208>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3773388108
Step 1 took 35469ms
Step 2 took 10841ms
********** Factor found in step 2: 15128334358221270520941692841781
Found probable prime factor of 32 digits: 15128334358221270520941692841781

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:34:56 UTC 2016 年 3 月 11 日 (金) 18 時 34 分 56 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovSeptember 30, 2016 20:52:27 UTC 2016 年 10 月 1 日 (土) 5 時 52 分 27 秒 (日本時間)

10255+7

c197

composite cofactor 合成数の残り
13656219870462416587108883573965475773662886595743175852003044523601920338724097549149255875716050600038661535379999582220855309493260186802430008199478751633225689210585181452326755607006826584183<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:35:08 UTC 2016 年 3 月 11 日 (金) 18 時 35 分 8 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovSeptember 30, 2016 20:52:43 UTC 2016 年 10 月 1 日 (土) 5 時 52 分 43 秒 (日本時間)

10257+7

c245

composite cofactor 合成数の残り
21236561780631839990249169084651544169000899204869671681940612808992230549387820571332712344107209537292922785595501421609483662900174563574949846029091591171988260225883523224794257853229768106420590762599242545303182370672050868231560194899183<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:35:21 UTC 2016 年 3 月 11 日 (金) 18 時 35 分 21 秒 (日本時間)
4511e64600600Dmitry DomanovOctober 9, 2016 23:29:52 UTC 2016 年 10 月 10 日 (月) 8 時 29 分 52 秒 (日本時間)
4000ebinaMarch 14, 2022 22:34:44 UTC 2022 年 3 月 15 日 (火) 7 時 34 分 44 秒 (日本時間)

10258+7

c203

composite cofactor 合成数の残り
13344833991558939087610561989623183726355295659944828462238172139576346904584755728200332622819887046264961868873896814878768669912661927774697930480136191428338056226341926099904756642035022461554108147<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:35:34 UTC 2016 年 3 月 11 日 (金) 18 時 35 分 34 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovSeptember 30, 2016 20:52:54 UTC 2016 年 10 月 1 日 (土) 5 時 52 分 54 秒 (日本時間)

10260+7

c249

name 名前Dmitry Domanov
date 日付March 11, 2016 13:12:02 UTC 2016 年 3 月 11 日 (金) 22 時 12 分 2 秒 (日本時間)
composite number 合成数
945035440035858853404796228599167492513536103918308218067053024370943975171982952854112859174563872954112573177543619462111908430656162267454481566711497365920139716387678962773989444014673769745304586575237793703171293372136355314211015467093193297<249>
prime factors 素因数
89657383592542053343269989786818818378161<41>
composite cofactor 合成数の残り
10540519945693234448723920550258485060899155747319239995305980081611741559992817405951907258077232671066320046244168907540302180715154859494003879719394320239674559008104940689226554034317662376057530968930977<209>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3430630776
Step 1 took 32458ms
Step 2 took 10933ms
********** Factor found in step 2: 89657383592542053343269989786818818378161
Found probable prime factor of 41 digits: 89657383592542053343269989786818818378161

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:36:14 UTC 2016 年 3 月 11 日 (金) 18 時 36 分 14 秒 (日本時間)
4511e64600600Dmitry DomanovSeptember 30, 2016 20:53:19 UTC 2016 年 10 月 1 日 (土) 5 時 53 分 19 秒 (日本時間)
4000ebinaMarch 15, 2022 10:58:03 UTC 2022 年 3 月 15 日 (火) 19 時 58 分 3 秒 (日本時間)

10261+7

c245

composite cofactor 合成数の残り
33811786266988293780284224167484495608154186581245586412795345880370661981772579697351624925382148790137768151326144772377063285376167285106032687437901871134140986576252942053587572822512287097258292193625930644166847008479644073834127125113253<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:36:24 UTC 2016 年 3 月 11 日 (金) 18 時 36 分 24 秒 (日本時間)
4511e64600600Dmitry DomanovOctober 6, 2016 19:05:03 UTC 2016 年 10 月 7 日 (金) 4 時 5 分 3 秒 (日本時間)
4000ebinaMarch 15, 2022 21:57:45 UTC 2022 年 3 月 16 日 (水) 6 時 57 分 45 秒 (日本時間)

10262+7

c251

composite cofactor 合成数の残り
47916589856383109507428872739331046534153099720609096426060222587218621901588095633845529798872783558969386801981075046587113044825828126081852604983207931210391104728727951329245837542116012870852642192562659622513408998426732482155836673460928241439<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:36:35 UTC 2016 年 3 月 11 日 (金) 18 時 36 分 35 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 19:04:36 UTC 2016 年 10 月 7 日 (金) 4 時 4 分 36 秒 (日本時間)

10263+7

c210

composite cofactor 合成数の残り
152073382994904755146396235671730349449471918974624764073578433367470617360189282504414888361513591192563908564352640604755767582292341609882877648729864784624944556774977119414160478198940017296266586860117479<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 09:36:46 UTC 2016 年 3 月 11 日 (金) 18 時 36 分 46 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovSeptember 30, 2016 20:53:33 UTC 2016 年 10 月 1 日 (土) 5 時 53 分 33 秒 (日本時間)

10264+7

c248

name 名前Dmitry Domanov
date 日付October 7, 2016 06:52:03 UTC 2016 年 10 月 7 日 (金) 15 時 52 分 3 秒 (日本時間)
composite number 合成数
30286809427394730845810737574168690324343859542279069606856855207773069046399201690477464115543653008876005808387930595961157426707868523211435733508751687404621508829804037698217639102478241550840824653023292088280755551827617815163731778925681539<248>
prime factors 素因数
932112116092764019281096683751659536774717<42>
32492667893162092933115760533928611419304344722994603826546039234474842236400086147050657805936319274979902970864913465236360338859211224893818308689745714921619865714327921784338285830709629844148384101567<206>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3296325513
Step 1 took 122443ms
Step 2 took 34150ms
********** Factor found in step 2: 932112116092764019281096683751659536774717
Found probable prime factor of 42 digits: 932112116092764019281096683751659536774717

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:09:08 UTC 2016 年 3 月 11 日 (金) 19 時 9 分 8 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 18:32:02 UTC 2016 年 10 月 7 日 (金) 3 時 32 分 2 秒 (日本時間)

10265+7

c266

name 名前Dmitry Domanov
date 日付February 9, 2016 08:06:34 UTC 2016 年 2 月 9 日 (火) 17 時 6 分 34 秒 (日本時間)
composite number 合成数
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<266>
prime factors 素因数
232174488404563594032177746901483692347933<42>
43071054312285247587869139171876015093238076516345641159433247767711241289342280802545716685717664666985745750980552384147968633591356965510316007465528206219653650171701698328376625801521851750047692286334333941231182840179<224>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1563071807
Step 1 took 216957ms
Step 2 took 57871ms
********** Factor found in step 2: 232174488404563594032177746901483692347933
Found probable prime factor of 42 digits: 232174488404563594032177746901483692347933

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62340600Dmitry DomanovOctober 29, 2015 07:34:59 UTC 2015 年 10 月 29 日 (木) 16 時 34 分 59 秒 (日本時間)
1740Serge BatalovNovember 16, 2015 16:59:27 UTC 2015 年 11 月 17 日 (火) 1 時 59 分 27 秒 (日本時間)
4511e6800 / 3962Dmitry DomanovFebruary 8, 2016 14:30:05 UTC 2016 年 2 月 8 日 (月) 23 時 30 分 5 秒 (日本時間)

10266+7

c259

composite cofactor 合成数の残り
2073196654250361010916396250988733399370175295618665827049664317327128725671736966242823033737274278381922255913280340077227819288818497873242310187080912366578651866972673257096225619025941308507605034724903700533709234293633186123240636080782605200062336877<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336600Dmitry DomanovOctober 28, 2015 23:11:58 UTC 2015 年 10 月 29 日 (木) 8 時 11 分 58 秒 (日本時間)
500Matthew HouseDecember 17, 2015 11:46:44 UTC 2015 年 12 月 17 日 (木) 20 時 46 分 44 秒 (日本時間)
500Matthew HouseDecember 17, 2015 22:01:44 UTC 2015 年 12 月 18 日 (金) 7 時 1 分 44 秒 (日本時間)
736Matthew HouseDecember 18, 2015 11:21:30 UTC 2015 年 12 月 18 日 (金) 20 時 21 分 30 秒 (日本時間)
4511e639621981Matthew HouseDecember 20, 2015 11:53:58 UTC 2015 年 12 月 20 日 (日) 20 時 53 分 58 秒 (日本時間)
991Matthew HouseDecember 21, 2015 12:35:06 UTC 2015 年 12 月 21 日 (月) 21 時 35 分 6 秒 (日本時間)
990Matthew HouseDecember 21, 2015 20:58:02 UTC 2015 年 12 月 22 日 (火) 5 時 58 分 2 秒 (日本時間)
5043e665762000Matthew HouseDecember 26, 2015 19:36:55 UTC 2015 年 12 月 27 日 (日) 4 時 36 分 55 秒 (日本時間)
124Matthew HouseFebruary 7, 2016 01:39:48 UTC 2016 年 2 月 7 日 (日) 10 時 39 分 48 秒 (日本時間)
2000Matthew HouseFebruary 9, 2016 12:20:10 UTC 2016 年 2 月 9 日 (火) 21 時 20 分 10 秒 (日本時間)
2000Matthew HouseFebruary 11, 2016 12:13:58 UTC 2016 年 2 月 11 日 (木) 21 時 13 分 58 秒 (日本時間)
452Matthew HouseFebruary 11, 2016 22:51:12 UTC 2016 年 2 月 12 日 (金) 7 時 51 分 12 秒 (日本時間)
5511e74000 / 15157Matthew HouseFebruary 22, 2016 11:15:27 UTC 2016 年 2 月 22 日 (月) 20 時 15 分 27 秒 (日本時間)

10267+7

c236

name 名前Dmitry Domanov
date 日付March 11, 2016 13:11:07 UTC 2016 年 3 月 11 日 (金) 22 時 11 分 7 秒 (日本時間)
composite number 合成数
15842305756355766729328440791860207988602548237383094929544056809473884148616482715281175874237762319275057856148186497193959510820898324727586501468630946224694842146033906162555999081786714381910114403212665236127861757763359988040701<236>
prime factors 素因数
6972750484418574201745078367773928410037<40>
composite cofactor 合成数の残り
2272031071778238771854904315869341640054354756749720926008208467477699743184354975437125086818152933819985593392992137393348366745172406682781706144678389739201855064943128642297542535320183084073<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2524399395
Step 1 took 27423ms
********** Factor found in step 1: 6972750484418574201745078367773928410037
Found probable prime factor of 40 digits: 6972750484418574201745078367773928410037

c196

name 名前ivelive
date 日付June 1, 2020 04:10:29 UTC 2020 年 6 月 1 日 (月) 13 時 10 分 29 秒 (日本時間)
composite number 合成数
2272031071778238771854904315869341640054354756749720926008208467477699743184354975437125086818152933819985593392992137393348366745172406682781706144678389739201855064943128642297542535320183084073<196>
prime factors 素因数
2046602097316424289261250980494413000297<40>
1110147925069267142302751657298310414530366029617111323439071957782550319154205080089419461924734387418124579509019687787873327832747721960038970527103926209<157>
factorization results 素因数分解の結果
2046602097316424289261250980494413000297,B1=11000000,sigma=3436874789, GMP-ECM 5.1.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:09:50 UTC 2016 年 3 月 11 日 (金) 19 時 9 分 50 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovSeptember 30, 2016 20:53:47 UTC 2016 年 10 月 1 日 (土) 5 時 53 分 47 秒 (日本時間)

10268+7

c269

name 名前Dmitry Domanov
date 日付October 29, 2015 06:51:25 UTC 2015 年 10 月 29 日 (木) 15 時 51 分 25 秒 (日本時間)
composite number 合成数
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<269>
prime factors 素因数
2834308577667425395468539846381207182807833<43>
composite cofactor 合成数の残り
3528197345480915676388381951211440307964386074805515662098556579754497326674396950266724112565873673173082167784133779681866289176224772359344656940282843613062598657305992628404697278712764559259221587267318773573607210856479<226>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=83780972
Step 1 took 49570ms
Step 2 took 4829ms
********** Factor found in step 2: 2834308577667425395468539846381207182807833
Found probable prime factor of 43 digits: 2834308577667425395468539846381207182807833

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 23:10:58 UTC 2015 年 10 月 29 日 (木) 8 時 10 分 58 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 18:32:33 UTC 2016 年 10 月 7 日 (金) 3 時 32 分 33 秒 (日本時間)

10269+7

c270

composite cofactor 合成数の残り
100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62340600Dmitry DomanovOctober 28, 2015 23:10:46 UTC 2015 年 10 月 29 日 (木) 8 時 10 分 46 秒 (日本時間)
1740Serge BatalovNovember 16, 2015 16:59:42 UTC 2015 年 11 月 17 日 (火) 1 時 59 分 42 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 8, 2016 14:28:24 UTC 2016 年 2 月 8 日 (月) 23 時 28 分 24 秒 (日本時間)
5043e65600600Dmitry DomanovFebruary 12, 2016 20:25:28 UTC 2016 年 2 月 13 日 (土) 5 時 25 分 28 秒 (日本時間)
300Dmitry DomanovFebruary 12, 2016 20:26:27 UTC 2016 年 2 月 13 日 (土) 5 時 26 分 27 秒 (日本時間)
3200Dmitry DomanovOctober 14, 2016 15:03:20 UTC 2016 年 10 月 15 日 (土) 0 時 3 分 20 秒 (日本時間)
1500Dmitry DomanovOctober 23, 2016 16:09:13 UTC 2016 年 10 月 24 日 (月) 1 時 9 分 13 秒 (日本時間)
5511e7700 / 15700Dmitry DomanovOctober 26, 2016 17:43:19 UTC 2016 年 10 月 27 日 (木) 2 時 43 分 19 秒 (日本時間)
6026e71 / 41081Dmitry DomanovFebruary 12, 2016 20:26:27 UTC 2016 年 2 月 13 日 (土) 5 時 26 分 27 秒 (日本時間)

10270+7

c235

composite cofactor 合成数の残り
1072739137083893038618808271368777881530122564863759770216992328965726042760283724603569937049751140611510091716036405534696003304354673512126728344663833654103087165234627620513582206389156771461028711158068429869461155364293587732939<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:10:09 UTC 2016 年 3 月 11 日 (金) 19 時 10 分 9 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 18:33:20 UTC 2016 年 10 月 7 日 (金) 3 時 33 分 20 秒 (日本時間)

10272+7

c254

composite cofactor 合成数の残り
57258570635996889619582329931720371645692611945678218590272313792450435477903044893825442209504482923751249514998838332194259485260570774582707417001669560347085362951555756891456580925920124221732306951022636318781761933069217908801598581894069214901597<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:10:19 UTC 2016 年 3 月 11 日 (金) 19 時 10 分 19 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 1, 2016 20:56:17 UTC 2016 年 10 月 2 日 (日) 5 時 56 分 17 秒 (日本時間)

10273+7

c227

composite cofactor 合成数の残り
35057125869540929151446264470989150222398813114170214795073041123091454026306554794731517119218070639754729300326286404331836336354787710335732193055862558280732050935923727367686870953998543909038163137790136940827473236546351<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:10:31 UTC 2016 年 3 月 11 日 (金) 19 時 10 分 31 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 18:33:58 UTC 2016 年 10 月 7 日 (金) 3 時 33 分 58 秒 (日本時間)

10275+7

c210

composite cofactor 合成数の残り
361649358653691881715446271729276894283863227345803429343554374095393870361201959710958408727227716549244340970751592621865955495092727473443937964804629788866430320161119648440634627302605645874738022778589887<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:10:42 UTC 2016 年 3 月 11 日 (金) 19 時 10 分 42 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovSeptember 30, 2016 20:54:01 UTC 2016 年 10 月 1 日 (土) 5 時 54 分 1 秒 (日本時間)

10276+7

c256

composite cofactor 合成数の残り
2640391562845694936810003210769008198530429194902669205153147117973817748807671588365105714905063377295364054653652160725752430083338304562545220998116552737758645324712906507564351128557559697630347867679742835825242223312547985757910369952600915767924297<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:10:52 UTC 2016 年 3 月 11 日 (金) 19 時 10 分 52 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 1, 2016 20:55:58 UTC 2016 年 10 月 2 日 (日) 5 時 55 分 58 秒 (日本時間)

10277+7

c258

composite cofactor 合成数の残り
414145431184128757774447961755189176040853272860687775883544201399787225679625017566278782601198726227694824743519522770584686900829807574749120516838945560721903934978060631904874481429095106062090971293591211167404145756940790657030717303839042549152289697<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:11:02 UTC 2016 年 3 月 11 日 (金) 19 時 11 分 2 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 1, 2016 20:55:44 UTC 2016 年 10 月 2 日 (日) 5 時 55 分 44 秒 (日本時間)

10279+7

c260

composite cofactor 合成数の残り
80587367271422666729615493620102203107186779182905657081306526883243824558634825124826703235618201374073865874559687680427714460296488127533900346088896013876445474811659183545964944724600490351503683562562609781497073317939331515520256009215300791092330670511<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 10, 2016 07:41:54 UTC 2016 年 3 月 10 日 (木) 16 時 41 分 54 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 1, 2016 20:55:25 UTC 2016 年 10 月 2 日 (日) 5 時 55 分 25 秒 (日本時間)

10280+7

c240

name 名前Dmitry Domanov
date 日付October 7, 2016 06:55:27 UTC 2016 年 10 月 7 日 (金) 15 時 55 分 27 秒 (日本時間)
composite number 合成数
715636981989761596841400469986176153134002473277899396296929161717255801994218305224489897883618062023260924239469591033755643603878068893246226557411522466778250197646143404513543551149490188719204289151000881752890018168669982229646951741<240>
prime factors 素因数
127116613554811557937834410527313612679<39>
5629767518005703230535579359073273221357731394288265918822246778529749055760973357347290891698074714956495266734489364043213399186602736263867088231850100806040787543782489369365635353370344312375741979<202>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3741025497
Step 1 took 98129ms
Step 2 took 29724ms
********** Factor found in step 2: 127116613554811557937834410527313612679
Found probable prime factor of 39 digits: 127116613554811557937834410527313612679

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:11:24 UTC 2016 年 3 月 11 日 (金) 19 時 11 分 24 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 19:05:36 UTC 2016 年 10 月 7 日 (金) 4 時 5 分 36 秒 (日本時間)

10281+7

c279

name 名前Dmitry Domanov
date 日付October 29, 2015 00:31:41 UTC 2015 年 10 月 29 日 (木) 9 時 31 分 41 秒 (日本時間)
composite number 合成数
662251655629139072847682119205298013245033112582781456953642384105960264900662251655629139072847682119205298013245033112582781456953642384105960264900662251655629139072847682119205298013245033112582781456953642384105960264900662251655629139072847682119205298013245033112582781457<279>
prime factors 素因数
13120608155150698808262422393<29>
50474158499212697303039162922493398094552529359888145248176426665407462428720621712796735816024210670981635151999350246205904180699565894128161815583936975733707302422361811070337345919844910401692174632357759251106844444880129087154910615105422639449<251>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4242791153
Step 1 took 42191ms
Step 2 took 12860ms
********** Factor found in step 2: 13120608155150698808262422393
Found probable prime factor of 29 digits: 13120608155150698808262422393

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovOctober 28, 2015 23:06:25 UTC 2015 年 10 月 29 日 (木) 8 時 6 分 25 秒 (日本時間)

10284+7

c259

name 名前Dmitry Domanov
date 日付October 3, 2016 06:16:28 UTC 2016 年 10 月 3 日 (月) 15 時 16 分 28 秒 (日本時間)
composite number 合成数
4573115648782851997309149792240621462578436340206073065019719852102675648934053494856093807970567475081871129989501790254087168594866400585525879680813334685177208759473655365654683671689624077705004987232773357213375680034621812915356404633855651688095005203<259>
prime factors 素因数
4021551203247712347088840648953189590653<40>
composite cofactor 合成数の残り
1137152162849427076175055396277117716712771685316234338221072353715908863017709031093120397840374269974895704962615494578491035907688898931941320539938676903910506093481160695989828600545642371800203421364279227439462351<220>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2092481795
Step 1 took 137741ms
Step 2 took 43045ms
********** Factor found in step 2: 4021551203247712347088840648953189590653
Found probable prime factor of 40 digits: 4021551203247712347088840648953189590653

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 10, 2016 07:41:25 UTC 2016 年 3 月 10 日 (木) 16 時 41 分 25 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 1, 2016 20:55:01 UTC 2016 年 10 月 2 日 (日) 5 時 55 分 1 秒 (日本時間)

10285+7

c275

name 名前Dmitry Domanov
date 日付October 3, 2016 06:15:38 UTC 2016 年 10 月 3 日 (月) 15 時 15 分 38 秒 (日本時間)
composite number 合成数
26836146398248424196894151921725315970465623030496976954655533242776111643298924151388487598338237661943064582030223680618548021496330027455378936845055338415079812833801294598249981707791584184119170473876025740040207644391852620225210550206161742800819052638351116708599417<275>
prime factors 素因数
8063095323809157744159257092782624719<37>
197105360319560471697426868587924369199<39>
composite cofactor 合成数の残り
16885733202937274603989367107279078992009703677300261708828922011274460855433795559325177200509259810997663295438691223649867293883937345929658860754406334391572571147125355499246639080976330964020857<200>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1234554811
Step 1 took 148310ms
Step 2 took 40753ms
********** Factor found in step 2: 197105360319560471697426868587924369199
Found probable prime factor of 39 digits: 197105360319560471697426868587924369199

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1607881376
Step 1 took 105575ms
Step 2 took 34428ms
********** Factor found in step 2: 8063095323809157744159257092782624719
Found probable prime factor of 37 digits: 8063095323809157744159257092782624719

c200

name 名前ivelive
date 日付June 25, 2020 16:08:59 UTC 2020 年 6 月 26 日 (金) 1 時 8 分 59 秒 (日本時間)
composite number 合成数
16885733202937274603989367107279078992009703677300261708828922011274460855433795559325177200509259810997663295438691223649867293883937345929658860754406334391572571147125355499246639080976330964020857<200>
prime factors 素因数
47033047352518756351042930328455453994891<41>
359018480694574737683845257247528498865913684621689494241476548449893571161435540495143641382976499190700574673475442170608140444399456244220047980752329906827<159>
factorization results 素因数分解の結果
47033047352518756351042930328455453994891, GMP-ECM B1=11000000, sigma=2690883809

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61200600Dmitry DomanovMarch 10, 2016 07:41:03 UTC 2016 年 3 月 10 日 (木) 16 時 41 分 3 秒 (日本時間)
600Dmitry DomanovOctober 1, 2016 20:54:46 UTC 2016 年 10 月 2 日 (日) 5 時 54 分 46 秒 (日本時間)
4511e6600 / 4214Dmitry DomanovOctober 3, 2016 06:14:32 UTC 2016 年 10 月 3 日 (月) 15 時 14 分 32 秒 (日本時間)

10286+7

c249

composite cofactor 合成数の残り
182166240548637781807809475307393757776306077069649394257359971664384523813919277131757321701457432767398690712234427282591582876462513238378605406243731321572655093485417472043532548284673685174358298436330625179909092633038731267299199514338607823<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:11:59 UTC 2016 年 3 月 11 日 (金) 19 時 11 分 59 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 19:06:12 UTC 2016 年 10 月 7 日 (金) 4 時 6 分 12 秒 (日本時間)

10288+7

c249

composite cofactor 合成数の残り
104292622627446002008996073802858390631718230617875219651786788445198075441914017904502504597846580226014089690159837155338604831559446158303714028496037114413737349816959651752636087711067362681044973798433988639226591963394984842259105092571741747<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:12:20 UTC 2016 年 3 月 11 日 (金) 19 時 12 分 20 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 10, 2016 00:10:22 UTC 2016 年 10 月 10 日 (月) 9 時 10 分 22 秒 (日本時間)

10289+7

c253

name 名前Dmitry Domanov
date 日付March 11, 2016 13:13:10 UTC 2016 年 3 月 11 日 (金) 22 時 13 分 10 秒 (日本時間)
composite number 合成数
3730301190970893597113844437083201899699372733611137088607889751230824583701431497264579667996554702304945053945733415297172817170177223539583112013656581412984304545084092695656978390119840715963823496567072133855604770648939516979465374126221223004683<253>
prime factors 素因数
413059313437139599616825460052243<33>
composite cofactor 合成数の残り
9030909289831519973454815291711558321183262549816317609582347171909808926320486994989612798610972629271355782218459245673314897168575592814321328295644908384947595257646660307505235089957283150890427331053387194098711081<220>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3495843492
Step 1 took 35467ms
Step 2 took 10616ms
********** Factor found in step 2: 413059313437139599616825460052243
Found probable prime factor of 33 digits: 413059313437139599616825460052243

c220

name 名前Dmitry Domanov
date 日付October 1, 2016 17:16:55 UTC 2016 年 10 月 2 日 (日) 2 時 16 分 55 秒 (日本時間)
composite number 合成数
9030909289831519973454815291711558321183262549816317609582347171909808926320486994989612798610972629271355782218459245673314897168575592814321328295644908384947595257646660307505235089957283150890427331053387194098711081<220>
prime factors 素因数
139318505896914982289766090704255740190998823<45>
64822036610941699055451909565787926907033578862748025860381044383864788723919226773991703761953511572710849748542532769947211182236512142523363072878775206041737025378065996847<176>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=57325460
Step 1 took 120494ms
Step 2 took 39795ms
********** Factor found in step 2: 139318505896914982289766090704255740190998823
Found probable prime factor of 45 digits: 139318505896914982289766090704255740190998823

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:12:30 UTC 2016 年 3 月 11 日 (金) 19 時 12 分 30 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovSeptember 30, 2016 20:54:27 UTC 2016 年 10 月 1 日 (土) 5 時 54 分 27 秒 (日本時間)

10290+7

c270

name 名前Dmitry Domanov
date 日付March 10, 2016 09:09:21 UTC 2016 年 3 月 10 日 (木) 18 時 9 分 21 秒 (日本時間)
composite number 合成数
248009966697757636363278464453763019446612597750855269447712442367407131419890592804575304605445576284248700006986736009789853583137418309017001811762673996739372618682924855379142966407649448104355291072514344296693977326696707329101321906571835834746049997294409736457<270>
prime factors 素因数
490953604368950944132152476015421061<36>
composite cofactor 合成数の残り
505159682077368953835676914859984145758595357122164359262717382960076944744337536314094304399604942380151197979126138907796228497341590874722924233579545523040176188873018730379332665018221652534163006497933951684899401800391895245237<234>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=610982677
Step 1 took 36345ms
Step 2 took 11911ms
********** Factor found in step 2: 490953604368950944132152476015421061
Found probable prime factor of 36 digits: 490953604368950944132152476015421061

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 10, 2016 07:40:35 UTC 2016 年 3 月 10 日 (木) 16 時 40 分 35 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 23:15:06 UTC 2016 年 10 月 7 日 (金) 8 時 15 分 6 秒 (日本時間)

10291+7

c238

composite cofactor 合成数の残り
3003205817358967737414693280501613468104491224098355833719343544173192183141873988107158972975887163593634341908663063063150499789451060694109677976606433221157904007793523406498971329373919412932545566637748015577932230179992641624127879<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:12:47 UTC 2016 年 3 月 11 日 (金) 19 時 12 分 47 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 23:15:43 UTC 2016 年 10 月 7 日 (金) 8 時 15 分 43 秒 (日本時間)

10292+7

c274

name 名前Dmitry Domanov
date 日付October 3, 2016 06:17:07 UTC 2016 年 10 月 3 日 (月) 15 時 17 分 7 秒 (日本時間)
composite number 合成数
6383997255831155887643904979897766865115338709073244042412171390656402811034348045298329218085813652869143455857763627226825154814467161177233458900096727950377986914818373324339597467408496889160524982403266089019455004617298044881705237378487767298778821498039787449510373<274>
prime factors 素因数
4427985363991671326406573932281656437<37>
1441738563037211443127637457787338484164212652999514567084733511433319497404479885159746836821761434383476392874334395307925341735031947926533472366130971331412251454919868542103809831170960070584210977482671284302042053635545976114590129<238>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2160355896
Step 1 took 171918ms
Step 2 took 47141ms
********** Factor found in step 2: 4427985363991671326406573932281656437
Found probable prime factor of 37 digits: 4427985363991671326406573932281656437

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 10, 2016 07:40:16 UTC 2016 年 3 月 10 日 (木) 16 時 40 分 16 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 1, 2016 20:54:24 UTC 2016 年 10 月 2 日 (日) 5 時 54 分 24 秒 (日本時間)

10293+7

c247

name 名前Dmitry Domanov
date 日付October 7, 2016 15:53:06 UTC 2016 年 10 月 8 日 (土) 0 時 53 分 6 秒 (日本時間)
composite number 合成数
4250233160101227264038846604884941348515146204757400555419670692452133591955349630751666419548635641849108361956836373802317562125689600841632009806953500581263715743575542696792787888052225444349804014443585819149463943867333130942580121200686133<247>
prime factors 素因数
656251843244704730980072705031028407<36>
composite cofactor 合成数の残り
6476527576801624808042760561462553925741134824216111920393003434073485977793067971721995520729844631865675988005354469439987903584196770717410496128056935224968177771959314309515565163508569579723374066792495219<211>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1454017237
Step 1 took 124422ms
Step 2 took 40613ms
********** Factor found in step 2: 656251843244704730980072705031028407
Found probable prime factor of 36 digits: 656251843244704730980072705031028407

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:13:01 UTC 2016 年 3 月 11 日 (金) 19 時 13 分 1 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 7, 2016 14:36:52 UTC 2016 年 10 月 7 日 (金) 23 時 36 分 52 秒 (日本時間)

10294+7

c257

name 名前Dmitry Domanov
date 日付March 11, 2016 13:12:37 UTC 2016 年 3 月 11 日 (金) 22 時 12 分 37 秒 (日本時間)
composite number 合成数
43943407118295717394390369910754660915670895751088440210845431412737997760807294103571262379385913462265225222313943693089918925510379795051371091847496037534931956837494528550531339866633772002427690039425488287061853327279347207322818309545721895998361209<257>
prime factors 素因数
9528771357512543257680843383633<31>
composite cofactor 合成数の残り
4611655109517394275037994080600468933149887937739865866444565163525498432932912120125433421131794878485008715506666326117464039260067727359881582320020637162389692204901039159289575570444734650198382812079683755870374764732073<226>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2648019042
Step 1 took 33055ms
Step 2 took 10516ms
********** Factor found in step 2: 9528771357512543257680843383633
Found probable prime factor of 31 digits: 9528771357512543257680843383633

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 11, 2016 10:13:13 UTC 2016 年 3 月 11 日 (金) 19 時 13 分 13 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 6, 2016 23:16:13 UTC 2016 年 10 月 7 日 (金) 8 時 16 分 13 秒 (日本時間)

10295+7

c275

composite cofactor 合成数の残り
74250273729116773443754730267431746086377906238637005469806075806290493089732892320908571699593105245685474689772496780372451923905549623378124862088769707419404417148880632033664359968108951452038078249461394211615306941128525859078046873923792218108540351304354470133487583<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovMarch 10, 2016 07:39:50 UTC 2016 年 3 月 10 日 (木) 16 時 39 分 50 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 1, 2016 20:54:09 UTC 2016 年 10 月 2 日 (日) 5 時 54 分 9 秒 (日本時間)

10298+7

c223

composite cofactor 合成数の残り
3119094161103169181109845738846973062869205374943519365587540219044090865710532383200404106025079974244613797872396497996255799163070934662768336382154240694375319847384973641546460837093516285933164432399147345465067072861<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovDecember 28, 2015 12:26:27 UTC 2015 年 12 月 28 日 (月) 21 時 26 分 27 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovOctober 3, 2016 23:55:42 UTC 2016 年 10 月 4 日 (火) 8 時 55 分 42 秒 (日本時間)

10299+7

c258

name 名前Dmitry Domanov
date 日付December 28, 2015 12:27:11 UTC 2015 年 12 月 28 日 (月) 21 時 27 分 11 秒 (日本時間)
composite number 合成数
139943498842473406394044300229284734765388827034418301234349285753593452777518786271979302118347157572980898961182211486339620683187995875669085426799756742384858005366391357357845502442159742016574228239138386354768159501673879801845449167854339239893235261<258>
prime factors 素因数
771376113695445259156857125835701039<36>
composite cofactor 合成数の残り
181420575978226236461745953412934609124961112090553314359672413049309497571823909219215511486471779883499839535733917979948110835759770452299245886238531171869215359012288442479245248541904454358545019685767481626154031699<222>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1839912160
Step 1 took 28975ms
Step 2 took 9113ms
********** Factor found in step 2: 771376113695445259156857125835701039
Found probable prime factor of 36 digits: 771376113695445259156857125835701039

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovDecember 28, 2015 11:49:53 UTC 2015 年 12 月 28 日 (月) 20 時 49 分 53 秒 (日本時間)
4511e64400600Dmitry DomanovOctober 3, 2016 23:56:16 UTC 2016 年 10 月 4 日 (火) 8 時 56 分 16 秒 (日本時間)
3800ebinaNovember 9, 2021 19:59:49 UTC 2021 年 11 月 10 日 (水) 4 時 59 分 49 秒 (日本時間)

10300+7

c282

composite cofactor 合成数の残り
126414566990696551235364876640931274570219280548984935332378883186860216243350941329261641028453438136304719102418539466066574614831431743567067649846077491636256705875687939563033176898452336919040109559406318614921386944188244042297489112062517800418299601970223016120490951819131<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61494294KTakahashiOctober 28, 2015 09:20:33 UTC 2015 年 10 月 28 日 (水) 18 時 20 分 33 秒 (日本時間)
1200Dmitry DomanovOctober 28, 2015 13:11:53 UTC 2015 年 10 月 28 日 (水) 22 時 11 分 53 秒 (日本時間)
4511e61200Dmitry DomanovOctober 31, 2015 16:54:34 UTC 2015 年 11 月 1 日 (日) 1 時 54 分 34 秒 (日本時間)
5043e6600 / 6938Dmitry DomanovOctober 31, 2015 22:39:47 UTC 2015 年 11 月 1 日 (日) 7 時 39 分 47 秒 (日本時間)
5511e7120 / 17468Dmitry DomanovNovember 1, 2015 18:10:21 UTC 2015 年 11 月 2 日 (月) 3 時 10 分 21 秒 (日本時間)