Table of contents 目次

10153-6×1076-13

c152

name 名前Serge Batalov
date 日付February 2, 2011 18:24:04 UTC 2011 年 2 月 3 日 (木) 3 時 24 分 4 秒 (日本時間)
composite number 合成数
17543859649122807017543859649122807017543859649122807017543859649122807017542807017543859649122807017543859649122807017543859649122807017543859649122807<152>
prime factors 素因数
12820844829655262936532946235252597129026961<44>
1368385615941858353844082171170062382888582852760714748038495639600783209467206999606995732553980620014785287<109>
factorization results 素因数分解の結果
SNFS difficulty: 153 digits.
Divisors found:
 r1=12820844829655262936532946235252597129026961 (pp44)
 r2=1368385615941858353844082171170062382888582852760714748038495639600783209467206999606995732553980620014785287 (pp109)
Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density
Total time: 12.72 hours.
Scaled time: 30.53 units (timescale=2.400).
Factorization parameters were as follows:
n: 17543859649122807017543859649122807017543859649122807017543859649122807017542807017543859649122807017543859649122807017543859649122807017543859649122807
m: 10000000000000000000000000
deg: 6
c6: 1000
c3: -60
c0: -1
skew: 0.32
type: snfs
lss: 0
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1562500, 2862501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 419996 x 420221
Total sieving time: 12.51 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153.000,6,0,0,0,0,0,0,0,0,2500000,2500000,27,27,52,52,2.4,2.4,100000
total time: 12.72 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6800 / 4475Serge BatalovFebruary 2, 2011 08:34:39 UTC 2011 年 2 月 2 日 (水) 17 時 34 分 39 秒 (日本時間)

10155-6×1077-13

c143

name 名前Erik Branger
date 日付February 2, 2011 17:11:20 UTC 2011 年 2 月 3 日 (木) 2 時 11 分 20 秒 (日本時間)
composite number 合成数
11885728850781348541530976665811629788848974233790727719802392737569031532654710300952858867695300441518761452160289589960925489634931129194267<143>
prime factors 素因数
6426577552678077539920211001898751752500186731553998902703883479<64>
1849464781737262074848373978467708747990325740222551259367363488892804554535773<79>
factorization results 素因数分解の結果
Number: 33133_77
N = 11885728850781348541530976665811629788848974233790727719802392737569031532654710300952858867695300441518761452160289589960925489634931129194267 (143 digits)
SNFS difficulty: 155 digits.
Divisors found:
r1=6426577552678077539920211001898751752500186731553998902703883479 (pp64)
r2=1849464781737262074848373978467708747990325740222551259367363488892804554535773 (pp79)
Version: Msieve v. 1.48
Total time: 33.63 hours.
Factorization parameters were as follows:
n: 11885728850781348541530976665811629788848974233790727719802392737569031532654710300952858867695300441518761452160289589960925489634931129194267
m: 10000000000000000000000000
deg: 6
c6: 100000
c3: -600
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [1350000, 4150000)
Relations: 8202115
Relations in full relation-set: 961246 relations
Pruned matrix : 574778 x 575004
Polynomial selection time: 0.00 hours.
Total sieving time: 33.20 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.30 hours.
time per square root: 0.08 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)

10157-6×1078-13

c157

name 名前Serge Batalov
date 日付February 2, 2011 18:24:47 UTC 2011 年 2 月 3 日 (木) 3 時 24 分 47 秒 (日本時間)
composite number 合成数
3333333333333333333333333333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333333333333333333333333333<157>
prime factors 素因数
26456309915934661595095198010268354132613277<44>
186452186915209049506903016909880816191527984821040073<54>
675743682675246078050766609607907455474328807930303822776273<60>
factorization results 素因数分解の結果
SNFS difficulty: 157 digits.
Divisors found:
 r1=26456309915934661595095198010268354132613277 (pp44)
 r2=186452186915209049506903016909880816191527984821040073 (pp54)
 r3=675743682675246078050766609607907455474328807930303822776273 (pp60)
Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density
Total time: 17.45 hours.
Scaled time: 41.89 units (timescale=2.400).
Factorization parameters were as follows:
n: 3333333333333333333333333333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 100000000000000000000000000
deg: 6
c6: 10
c3: -6
c0: -1
skew: 0.68
type: snfs
lss: 0
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1812500, 3612501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 578590 x 578815
Total sieving time: 16.53 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.63 hours.
Prototype def-par.txt line would be:
snfs,157.000,6,0,0,0,0,0,0,0,0,2900000,2900000,27,27,52,52,2.4,2.4,100000
total time: 17.45 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e60--
4511e6800 / 4475Serge BatalovFebruary 2, 2011 08:34:25 UTC 2011 年 2 月 2 日 (水) 17 時 34 分 25 秒 (日本時間)

10161-6×1080-13

c126

name 名前Serge Batalov
date 日付February 2, 2011 06:25:04 UTC 2011 年 2 月 2 日 (水) 15 時 25 分 4 秒 (日本時間)
composite number 合成数
613039105084339140990836207674595060853519278781031336312752519161136263393868119876132772494033647532394528010918111075178059<126>
prime factors 素因数
63331211344873552744659039319883<32>
626842947974606870986851926181388219669883<42>
15442287695613547596489150259561562908840538399793331<53>
factorization results 素因数分解の結果
Input number is 613039105084339140990836207674595060853519278781031336312752519161136263393868119876132772494033647532394528010918111075178059 (126 digits)
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3348596428
Step 1 took 5201ms
Step 2 took 3792ms
********** Factor found in step 2: 63331211344873552744659039319883
Found probable prime factor of 32 digits: 63331211344873552744659039319883
Composite cofactor has 94 digits

Divisors found:
 r1=626842947974606870986851926181388219669883 (pp42)
 r2=15442287695613547596489150259561562908840538399793331 (pp53)
Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density
Total time: 0.91 hours.
Scaled time: 2.19 units (timescale=2.400).
Factorization parameters were as follows:
n: 9679889142590394840408709511903079015159948133437604249067492779713899760707954663036244950273
Y0: -81819718983943049718024
Y1:  1245825415567
c0:  2956656253421459817938052593
c1:  1384342061529735447054
c2: -1966253984924957
c3: -499776762
c4:  216
skew: 2420444.48
# size 7.358e-13, alpha -4.859, combined = 2.880e-08 rroots = 4
type: gnfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [625000, 865001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 113821 x 114048
Total sieving time: 0.87 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,25,25,44,44,2.4,2.4,40000
total time: 0.91 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)

10163-6×1081-13

c146

name 名前Sinkiti Sibata
date 日付February 4, 2011 22:50:00 UTC 2011 年 2 月 5 日 (土) 7 時 50 分 0 秒 (日本時間)
composite number 合成数
14691147203529834329325072417292700451492819699097546795441066156716701001878083350950731804218558261296561844727810835737833135518733965977017949<146>
prime factors 素因数
846221866630355336251455962590502812605294778513<48>
17360869274189043160905591505162624219415737885575721792161512753363378907827219541172506552610573<98>
factorization results 素因数分解の結果
Number: 33133_81
N=14691147203529834329325072417292700451492819699097546795441066156716701001878083350950731804218558261296561844727810835737833135518733965977017949
  ( 146 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=846221866630355336251455962590502812605294778513 (pp48)
 r2=17360869274189043160905591505162624219415737885575721792161512753363378907827219541172506552610573 (pp98)
Version: Msieve v. 1.42
Total time: 2.76 hours.
Scaled time: 2.36 units (timescale=0.853).
Factorization parameters were as follows:
name: 33133_81
n: 14691147203529834329325072417292700451492819699097546795441066156716701001878083350950731804218558261296561844727810835737833135518733965977017949
m: 1000000000000000000000000000
deg: 6
c6: 10
c3: -6
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 5100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 796770 x 797018
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.16 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,163.000,6,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 2.76 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5825.94 BogoMIPS (lpj=2912972)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913267)
Total of 2 processors activated (11652.47 BogoMIPS).

Total time: 34 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)

10167-6×1083-13

c152

name 名前Sinkiti Sibata
date 日付February 8, 2011 12:05:39 UTC 2011 年 2 月 8 日 (火) 21 時 5 分 39 秒 (日本時間)
composite number 合成数
45342404995199765749676094651391493631402277754313983150100945202134991729716809990076733001914358396745608127244469351903924459499727775335893405368291<152>
prime factors 素因数
232508201771811661642483154787442346459001929<45>
143279483975356918817506824201918035614744297690382197<54>
1361075653930751916904875058768676964858148688534489407<55>
factorization results 素因数分解の結果
Number: 33133_83
N=45342404995199765749676094651391493631402277754313983150100945202134991729716809990076733001914358396745608127244469351903924459499727775335893405368291
  ( 152 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=232508201771811661642483154787442346459001929 (pp45)
 r2=143279483975356918817506824201918035614744297690382197 (pp54)
 r3=1361075653930751916904875058768676964858148688534489407 (pp55)
Version: Msieve-1.40
Total time: 119.16 hours.
Scaled time: 289.32 units (timescale=2.428).
Factorization parameters were as follows:
name: 33133_83
n: 45342404995199765749676094651391493631402277754313983150100945202134991729716809990076733001914358396745608127244469351903924459499727775335893405368291
m: 1000000000000000000000000000
deg: 6
c6: 100000
c3: -600
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 8250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 926716 x 926964
Total sieving time: 116.01 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.02 hours.
Time per square root: 1.00 hours.
Prototype def-par.txt line would be:
snfs,167.000,6,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 119.16 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)

10169-6×1084-13

c142

name 名前Sinkiti Sibata
date 日付March 24, 2011 11:57:21 UTC 2011 年 3 月 24 日 (木) 20 時 57 分 21 秒 (日本時間)
composite number 合成数
3647291441599702944689833533713741768601084386504187112682364742262029355742985267091156535226359604643356159586860240489806611495184632607023<142>
prime factors 素因数
1420683760916679861826399118611842886863375547<46>
2567278899032625021528208906338731933401097652779710182377768806210403235856082110232444732129309<97>
factorization results 素因数分解の結果
Number: 33133_84
N=3647291441599702944689833533713741768601084386504187112682364742262029355742985267091156535226359604643356159586860240489806611495184632607023
  ( 142 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=1420683760916679861826399118611842886863375547 (pp46)
 r2=2567278899032625021528208906338731933401097652779710182377768806210403235856082110232444732129309 (pp97)
Version: Msieve-1.40
Total time: 140.13 hours.
Scaled time: 298.47 units (timescale=2.130).
Factorization parameters were as follows:
name: 33133_84
n: 3647291441599702944689833533713741768601084386504187112682364742262029355742985267091156535226359604643356159586860240489806611495184632607023
m: 10000000000000000000000000000
deg: 6
c6: 10
c3: -6
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 917764 x 918012
Total sieving time: 137.73 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,169.000,6,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 140.13 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovFebruary 8, 2011 12:54:08 UTC 2011 年 2 月 8 日 (火) 21 時 54 分 8 秒 (日本時間)

10171-6×1085-13

c144

name 名前Sinkiti Sibata
date 日付April 2, 2011 08:18:24 UTC 2011 年 4 月 2 日 (土) 17 時 18 分 24 秒 (日本時間)
composite number 合成数
298684664294963686559713464469730204344933307757289257885324704185663804012534640243984392046470846540232776237332305552378604883046683952214289<144>
prime factors 素因数
54893765227374039691394621466061181640391694388282097833523<59>
5441140046739182375375451570209042783837138403729265569743346316076955477804393033643<85>
factorization results 素因数分解の結果
Number: 33133_85
N=298684664294963686559713464469730204344933307757289257885324704185663804012534640243984392046470846540232776237332305552378604883046683952214289
  ( 144 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=54893765227374039691394621466061181640391694388282097833523 (pp59)
 r2=5441140046739182375375451570209042783837138403729265569743346316076955477804393033643 (pp85)
Version: Msieve-1.40
Total time: 157.10 hours.
Scaled time: 315.77 units (timescale=2.010).
Factorization parameters were as follows:
name: 33133_85
n: 298684664294963686559713464469730204344933307757289257885324704185663804012534640243984392046470846540232776237332305552378604883046683952214289
m: 10000000000000000000000000000
deg: 6
c6: 1000
c3: -60
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 860910 x 861158
Total sieving time: 154.70 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.86 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
snfs,171.000,6,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 157.10 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovFebruary 8, 2011 14:01:05 UTC 2011 年 2 月 8 日 (火) 23 時 1 分 5 秒 (日本時間)

10173-6×1086-13

c142

name 名前Erik Branger
date 日付May 13, 2011 05:06:45 UTC 2011 年 5 月 13 日 (金) 14 時 6 分 45 秒 (日本時間)
composite number 合成数
2199134011956363707520716040432307108108552441288418901414591835710709764097260859183376771266143152007221937835702878766691110239724019932873<142>
prime factors 素因数
3028673497049928683648185892630481907037052792180922409<55>
726104683815678483637821124424292561210943457869601478369948227851568324538442624148897<87>
factorization results 素因数分解の結果
Number: 33133_86
N = 

21991340119563637075207160404323071081085524412884189014145918357107097640972608591833767712661431520072

21937835702878766691110239724019932873 (142 digits)
SNFS difficulty: 173 digits.
Divisors found:
r1=3028673497049928683648185892630481907037052792180922409 (pp55)
r2=726104683815678483637821124424292561210943457869601478369948227851568324538442624148897 (pp87)
Version: Msieve v. 1.48
Total time: 144.34 hours.
Factorization parameters were as follows:
n: 

21991340119563637075207160404323071081085524412884189014145918357107097640972608591833767712661431520072

21937835702878766691110239724019932873
m: 10000000000000000000000000000
deg: 6
c6: 100000
c3: -600
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2700000, 11400000)
Relations: 11864435
Relations in full relation-set: 1940614 relations
Pruned matrix : 1219677 x 1219902
Polynomial selection time: 0.00 hours.
Total sieving time: 138.31 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 5.40 hours.
time per square root: 0.42 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 8, 2011 14:00:27 UTC 2011 年 2 月 8 日 (火) 23 時 0 分 27 秒 (日本時間)
2018Wataru SakaiApril 18, 2011 07:37:06 UTC 2011 年 4 月 18 日 (月) 16 時 37 分 6 秒 (日本時間)

10175-6×1087-13

c128

name 名前Warut Roonguthai
date 日付October 26, 2011 19:14:30 UTC 2011 年 10 月 27 日 (木) 4 時 14 分 30 秒 (日本時間)
composite number 合成数
86313246874830117533618487277685510854611765482837759516126357229029566810185245046804827481805368432182306975001318466084069783<128>
prime factors 素因数
4965983285809751421432601138042115028320318547463<49>
17380897580036037316708336193273126524735947468655436728294770905452052495942641<80>
factorization results 素因数分解の結果
N = 86313246874830117533618487277685510854611765482837759516126357229029566810185245046804827481805368432182306975001318466084069783 (128 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=4965983285809751421432601138042115028320318547463 (pp49)
r2=17380897580036037316708336193273126524735947468655436728294770905452052495942641 (pp80)
Version: Msieve v. 1.48
Total time: 45.90 hours.
Factorization parameters were as follows:
name: (10^175-6*10^87-1)/3
n: 86313246874830117533618487277685510854611765482837759516126357229029566810185245046804827481805368432182306975001318466084069783
Y0: 100000000000000000000000000000
Y1: -1
c0: -1
c1: 0
c2: 0
c3: -6
c4: 0
c5: 0
c6: 10
skew: 0.68
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20660435
Relations: 2411328 relations
Pruned matrix : 1390330 x 1390555
Polynomial selection time: 0.00 hours.
Total sieving time: 43.18 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.46 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,175,6,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 45.90 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 10, 2011 09:33:00 UTC 2011 年 2 月 10 日 (木) 18 時 33 分 0 秒 (日本時間)
2018Wataru SakaiApril 18, 2011 07:36:39 UTC 2011 年 4 月 18 日 (月) 16 時 36 分 39 秒 (日本時間)
4511e6220 / 3573Ignacio SantosAugust 29, 2011 13:07:42 UTC 2011 年 8 月 29 日 (月) 22 時 7 分 42 秒 (日本時間)
5043e661 / 7358Ignacio SantosAugust 29, 2011 13:07:42 UTC 2011 年 8 月 29 日 (月) 22 時 7 分 42 秒 (日本時間)
5511e724 / 17716Ignacio SantosAugust 29, 2011 13:07:42 UTC 2011 年 8 月 29 日 (月) 22 時 7 分 42 秒 (日本時間)

10177-6×1088-13

c164

name 名前Dmitry Domanov
date 日付October 4, 2011 20:59:01 UTC 2011 年 10 月 5 日 (水) 5 時 59 分 1 秒 (日本時間)
composite number 合成数
72213288872317170001900461826696761293920700404022164961667182109865052527238606968311642218297825123609915277988630321281038676086744231295699701869095550449343013<164>
prime factors 素因数
641511741836454467912792207996293084652159374001<48>
112567368861546201032777076288127417125628536290430253711406015233943584282674287005360839771118288194974771483481013<117>
factorization results 素因数分解の結果
N=72213288872317170001900461826696761293920700404022164961667182109865052527238606968311642218297825123609915277988630321281038676086744231295699701869095550449343013
  ( 164 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=641511741836454467912792207996293084652159374001 (pp48)
 r2=112567368861546201032777076288127417125628536290430253711406015233943584282674287005360839771118288194974771483481013 (pp117)
Version: Msieve-1.40
Total time: 157.76 hours.
Scaled time: 301.49 units (timescale=1.911).
Factorization parameters were as follows:
n: 72213288872317170001900461826696761293920700404022164961667182109865052527238606968311642218297825123609915277988630321281038676086744231295699701869095550449343013
m: 100000000000000000000000000000
deg: 6
c6: 1000
c3: -60
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 5980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1167235 x 1167469
Total sieving time: 155.90 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.50 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,177.000,6,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 157.76 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
351e6418118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 13, 2011 22:14:07 UTC 2011 年 2 月 14 日 (月) 7 時 14 分 7 秒 (日本時間)
403e62126110Ignacio SantosFebruary 13, 2011 22:14:07 UTC 2011 年 2 月 14 日 (月) 7 時 14 分 7 秒 (日本時間)
2016Wataru SakaiSeptember 21, 2011 03:38:01 UTC 2011 年 9 月 21 日 (水) 12 時 38 分 1 秒 (日本時間)
4511e632 / 3991Ignacio SantosFebruary 13, 2011 22:14:07 UTC 2011 年 2 月 14 日 (月) 7 時 14 分 7 秒 (日本時間)

10179-6×1089-13

c155

name 名前Jo Yeong Uk
date 日付February 14, 2012 01:26:19 UTC 2012 年 2 月 14 日 (火) 10 時 26 分 19 秒 (日本時間)
composite number 合成数
80656887626018013331769544621490886769254435616340904027530763927463386573622327295263213452874741667961112869770959577035883991535295247043420908382792881<155>
prime factors 素因数
2745153327253460069708257924736234158737562678019928636925171<61>
29381560157412278868361532046208757676278358914844628985932523236855268721026380890737506296011<95>
factorization results 素因数分解の結果
Number: 33133_89
N=80656887626018013331769544621490886769254435616340904027530763927463386573622327295263213452874741667961112869770959577035883991535295247043420908382792881
  ( 155 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=2745153327253460069708257924736234158737562678019928636925171
 r2=29381560157412278868361532046208757676278358914844628985932523236855268721026380890737506296011
Version: 
Total time: 101.71 hours.
Scaled time: 374.18 units (timescale=3.679).
Factorization parameters were as follows:
n: 80656887626018013331769544621490886769254435616340904027530763927463386573622327295263213452874741667961112869770959577035883991535295247043420908382792881
m: 1000000000000000000000000000000
deg: 6
c6: 1
c3: -6
c0: -10
skew: 1.47
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2700000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18185812
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1305443 x 1305691
Total sieving time: 97.05 hours.
Total relation processing time: 1.63 hours.
Matrix solve time: 2.91 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,180,6,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000
total time: 101.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581148k/26214400k available (5084k kernel code, 1057688k absent, 575564k reserved, 7228k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6665.15 BogoMIPS (lpj=3332576)
Total of 12 processors activated (79996.07 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 13, 2011 23:03:05 UTC 2011 年 2 月 14 日 (月) 8 時 3 分 5 秒 (日本時間)
403e62126110Ignacio SantosFebruary 13, 2011 23:03:05 UTC 2011 年 2 月 14 日 (月) 8 時 3 分 5 秒 (日本時間)
1000Dmitry DomanovJanuary 10, 2012 09:04:43 UTC 2012 年 1 月 10 日 (火) 18 時 4 分 43 秒 (日本時間)
1016Jo Yeong UkFebruary 7, 2012 08:51:44 UTC 2012 年 2 月 7 日 (火) 17 時 51 分 44 秒 (日本時間)
4511e632 / 3991Ignacio SantosFebruary 13, 2011 23:03:05 UTC 2011 年 2 月 14 日 (月) 8 時 3 分 5 秒 (日本時間)

10183-6×1091-13

c180

name 名前Serge Batalov
date 日付February 19, 2011 19:29:55 UTC 2011 年 2 月 20 日 (日) 4 時 29 分 55 秒 (日本時間)
composite number 合成数
367511944138184490995957368614479970599044468945240720323410510841602352076442484380742374105108416023520764424843807423741271591326718118338846012495406100698272693862550532892319<180>
prime factors 素因数
335270506800866383731617687965899855431<39>
composite cofactor 合成数の残り
1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249<142>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2731368604
Step 1 took 56287ms
Step 2 took 27818ms
********** Factor found in step 2: 335270506800866383731617687965899855431
Found probable prime factor of 39 digits: 335270506800866383731617687965899855431
Composite cofactor 1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249 has 142 digits

c142

name 名前Jo Yeong Uk
date 日付February 18, 2012 03:22:13 UTC 2012 年 2 月 18 日 (土) 12 時 22 分 13 秒 (日本時間)
composite number 合成数
1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249<142>
prime factors 素因数
10441017987263065970622089391533661678887023353516000836499921051659<68>
104986453036095057661697362350791697141646622783621142350938901572756658011<75>
factorization results 素因数分解の結果
Number: 33133_91
N=1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249
  ( 142 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=10441017987263065970622089391533661678887023353516000836499921051659
 r2=104986453036095057661697362350791697141646622783621142350938901572756658011
Version: 
Total time: 115.70 hours.
Scaled time: 425.55 units (timescale=3.678).
Factorization parameters were as follows:
n: 1096165444568817620457695071299554784245952688214291524124030703578293331905465914070502500981095106181319016780764000561548894772553327190249
m: 1000000000000000000000000000000
deg: 6
c6: 1000
c3: -60
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4500000, 8600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19194870
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1458429 x 1458677
Total sieving time: 109.97 hours.
Total relation processing time: 1.66 hours.
Matrix solve time: 3.92 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,183,6,0,0,0,0,0,0,0,0,9000000,9000000,28,28,53,53,2.5,2.5,100000
total time: 115.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581148k/26214400k available (5084k kernel code, 1057688k absent, 575564k reserved, 7228k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6665.15 BogoMIPS (lpj=3332576)
Total of 12 processors activated (79996.07 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 6, 2011 22:23:38 UTC 2011 年 2 月 7 日 (月) 7 時 23 分 38 秒 (日本時間)
1000Dmitry DomanovJanuary 10, 2012 09:04:55 UTC 2012 年 1 月 10 日 (火) 18 時 4 分 55 秒 (日本時間)
1018Jo Yeong UkFebruary 7, 2012 08:51:54 UTC 2012 年 2 月 7 日 (火) 17 時 51 分 54 秒 (日本時間)

10189-6×1094-13

c153

name 名前Jo Yeong Uk
date 日付January 26, 2012 10:58:49 UTC 2012 年 1 月 26 日 (木) 19 時 58 分 49 秒 (日本時間)
composite number 合成数
288357892143954986547518415639363248095675707825015433109368094320282735315557137317519050663770862914180091233073518768816107192981227982429269222548123<153>
prime factors 素因数
191283519418065529953826171732378581736651<42>
1507489474374034286474638275193825266134483509820918546326140629585966313806580191397819428764748771017448482673<112>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
Input number is 288357892143954986547518415639363248095675707825015433109368094320282735315557137317519050663770862914180091233073518768816107192981227982429269222548123 (153 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1359889391
Step 1 took 8831ms
Step 2 took 3985ms
********** Factor found in step 2: 191283519418065529953826171732378581736651
Found probable prime factor of 42 digits: 191283519418065529953826171732378581736651
Probable prime cofactor 1507489474374034286474638275193825266134483509820918546326140629585966313806580191397819428764748771017448482673 has 112 digits
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e61300 / 2318300Dmitry DomanovFebruary 2, 2011 13:42:33 UTC 2011 年 2 月 2 日 (水) 22 時 42 分 33 秒 (日本時間)
1000Dmitry DomanovJanuary 10, 2012 09:05:05 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 5 秒 (日本時間)

10193-6×1096-13

c142

name 名前Jo Yeong Uk
date 日付March 6, 2012 03:18:25 UTC 2012 年 3 月 6 日 (火) 12 時 18 分 25 秒 (日本時間)
composite number 合成数
5580385653878266177542493467903282738432816786808216815232923051162922431087780112973400347970035103679371970271216932050076621655166553011937<142>
prime factors 素因数
2571617136931015947773352786391777003924052718162643<52>
2169990848846937412359722161022740228509449763445143597201470826109310587577299348457912059<91>
factorization results 素因数分解の結果
Number: 33133_96
N=5580385653878266177542493467903282738432816786808216815232923051162922431087780112973400347970035103679371970271216932050076621655166553011937
  ( 142 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=2571617136931015947773352786391777003924052718162643
 r2=2169990848846937412359722161022740228509449763445143597201470826109310587577299348457912059
Version: 
Total time: 250.90 hours.
Scaled time: 920.31 units (timescale=3.668).
Factorization parameters were as follows:
n: 5580385653878266177542493467903282738432816786808216815232923051162922431087780112973400347970035103679371970271216932050076621655166553011937
m: 100000000000000000000000000000000
deg: 6
c6: 10
c3: -6
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 15000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23340803
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2333396 x 2333644
Total sieving time: 233.10 hours.
Total relation processing time: 4.35 hours.
Matrix solve time: 12.29 hours.
Time per square root: 1.16 hours.
Prototype def-par.txt line would be:
snfs,193,6,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 250.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581152k/26214400k available (5084k kernel code, 1057684k absent, 575564k reserved, 7229k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.70 BogoMIPS (lpj=3333351)
Total of 12 processors activated (79997.61 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 2, 2011 13:42:43 UTC 2011 年 2 月 2 日 (水) 22 時 42 分 43 秒 (日本時間)
1000Dmitry DomanovJanuary 10, 2012 09:05:16 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 16 秒 (日本時間)
1018Jo Yeong UkFebruary 7, 2012 08:52:04 UTC 2012 年 2 月 7 日 (火) 17 時 52 分 4 秒 (日本時間)
4511e63963Jo Yeong UkFebruary 28, 2012 08:43:11 UTC 2012 年 2 月 28 日 (火) 17 時 43 分 11 秒 (日本時間)

10195-6×1097-13

c150

name 名前Serge Batalov
date 日付February 2, 2011 05:42:22 UTC 2011 年 2 月 2 日 (水) 14 時 42 分 22 秒 (日本時間)
composite number 合成数
361297586473994580005837196952448469523812945926058585807702741488888643096895689897777563263723449430068740249190821148706045689278202015914688660521<150>
prime factors 素因数
697770222236518195885406484378127<33>
517788771948379467839896320228198608607087942000360683176432278121671395527060399492531169341689027149907435732106823<117>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=288491134
Step 1 took 6308ms
Step 2 took 4457ms
********** Factor found in step 2: 697770222236518195885406484378127
Found probable prime factor of 33 digits: 697770222236518195885406484378127
Probable prime cofactor 517788771948379467839896320228198608607087942000360683176432278121671395527060399492531169341689027149907435732106823 has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)

10197-6×1098-13

c168

name 名前Jo Yeong Uk
date 日付April 2, 2012 10:29:55 UTC 2012 年 4 月 2 日 (月) 19 時 29 分 55 秒 (日本時間)
composite number 合成数
249397951769119210000159591479533625547884437577392409200934649044722852136099097975018180061135013054822958725677479289250300888490492706197087633167815932586467955159<168>
prime factors 素因数
862120611659555151813725643478485989848467743535727951<54>
45929009393129468791999339116219197559570028503343213861<56>
6298509307950248674638668338890342157526887707194483955269<58>
factorization results 素因数分解の結果
Number: 33133_98
N=249397951769119210000159591479533625547884437577392409200934649044722852136099097975018180061135013054822958725677479289250300888490492706197087633167815932586467955159
  ( 168 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=862120611659555151813725643478485989848467743535727951
 r2=45929009393129468791999339116219197559570028503343213861
 r3=6298509307950248674638668338890342157526887707194483955269
Version: 
Total time: 310.92 hours.
Scaled time: 1134.53 units (timescale=3.649).
Factorization parameters were as follows:
n: 249397951769119210000159591479533625547884437577392409200934649044722852136099097975018180061135013054822958725677479289250300888490492706197087633167815932586467955159
m: 1000000000000000000000000000000000
deg: 6
c6: 1
c3: -6
c0: -10
skew: 1.47
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 17800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34968447
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2854037 x 2854284
Total sieving time: 283.98 hours.
Total relation processing time: 6.29 hours.
Matrix solve time: 19.54 hours.
Time per square root: 1.11 hours.
Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.6,2.6,100000
total time: 310.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581152k/26214400k available (5084k kernel code, 1057684k absent, 575564k reserved, 7229k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333405)
Total of 12 processors activated (79997.71 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 2, 2011 02:00:00 UTC 2011 年 2 月 2 日 (水) 11 時 0 分 0 秒 (日本時間)
403e62318300Dmitry DomanovFebruary 2, 2011 13:43:04 UTC 2011 年 2 月 2 日 (水) 22 時 43 分 4 秒 (日本時間)
1000Dmitry DomanovJanuary 10, 2012 09:05:28 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 28 秒 (日本時間)
1018Jo Yeong UkFebruary 7, 2012 08:52:12 UTC 2012 年 2 月 7 日 (火) 17 時 52 分 12 秒 (日本時間)
4511e63963Jo Yeong UkMarch 11, 2012 07:52:10 UTC 2012 年 3 月 11 日 (日) 16 時 52 分 10 秒 (日本時間)

10205-6×10102-13

c205

name 名前Serge Batalov
date 日付January 3, 2012 07:38:02 UTC 2012 年 1 月 3 日 (火) 16 時 38 分 2 秒 (日本時間)
composite number 合成数
3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<205>
prime factors 素因数
32852278776382125262970666896845735550757<41>
101464295856691206552087053870575278561409846332389692303565932407326820133059664598192839957819450074736815096818686363576467291557008356291514265471162202915872369<165>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1954905125
Step 1 took 56935ms
Step 2 took 33750ms
********** Factor found in step 2: 32852278776382125262970666896845735550757
Found probable prime factor of 41 digits: 32852278776382125262970666896845735550757
Probable prime cofactor 101464295856691206552087053870575278561409846332389692303565932407326820133059664598192839957819450074736815096818686363576467291557008356291514265471162202915872369 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
900Serge BatalovJanuary 3, 2012 06:26:05 UTC 2012 年 1 月 3 日 (火) 15 時 26 分 5 秒 (日本時間)
403e6600 / 1038Serge BatalovJanuary 3, 2012 06:26:52 UTC 2012 年 1 月 3 日 (火) 15 時 26 分 52 秒 (日本時間)
4511e6300 / 4301Serge BatalovJanuary 3, 2012 06:26:05 UTC 2012 年 1 月 3 日 (火) 15 時 26 分 5 秒 (日本時間)

10209-6×10104-13

c177

name 名前Youcef Lemsafer
date 日付December 27, 2013 06:59:39 UTC 2013 年 12 月 27 日 (金) 15 時 59 分 39 秒 (日本時間)
composite number 合成数
616476982322630534469968439964873085890225256480483358573971300010510403007297232515622974526726298155808969832322854408680926022879494360161415628799746712993731918981061421727<177>
prime factors 素因数
996085973694204921652597074057714681833188460153<48>
2327406281131039812522882776305890105861131349626214400159<58>
265918063278399490272370385528255465322285212423431651749367542382496201<72>
factorization results 素因数分解の結果
<Sieving:>
<   Using gnfs-lasieve4I14e>
<   1098 core.hours on Intel Xeon W3530 @ 2.8GHz>
< + 71.5 core.hours on 2 x Intel Xeon E5-2620 @ 2.0GHz>

<Post-processing using msieve 1.51 (SVN 845), 8 threads on Intel Xeon W3530 @ 2.8GHz>

Wed Dec 25 21:09:21 2013  Msieve v. 1.51 (SVN 845)
Wed Dec 25 21:09:21 2013  random seeds: 0b02f4c0 9fa29082
Wed Dec 25 21:09:21 2013  factoring 616476982322630534469968439964873085890225256480483358573971300010510403007297232515622974526726298155808969832322854408680926022879494360161415628799746712993731918981061421727 (177 digits)
Wed Dec 25 21:09:22 2013  searching for 15-digit factors
Wed Dec 25 21:09:23 2013  commencing number field sieve (177-digit input)
Wed Dec 25 21:09:23 2013  R0: -100000000000000000000000000000000000
Wed Dec 25 21:09:23 2013  R1: 1
Wed Dec 25 21:09:23 2013  A0: -10
Wed Dec 25 21:09:23 2013  A1: 0
Wed Dec 25 21:09:23 2013  A2: 0
Wed Dec 25 21:09:23 2013  A3: -6
Wed Dec 25 21:09:23 2013  A4: 0
Wed Dec 25 21:09:23 2013  A5: 0
Wed Dec 25 21:09:23 2013  A6: 1
Wed Dec 25 21:09:23 2013  skew 1.47, size 1.715e-010, alpha 2.240, combined = 4.890e-012 rroots = 2
Wed Dec 25 21:09:23 2013  
Wed Dec 25 21:09:23 2013  commencing relation filtering
Wed Dec 25 21:09:23 2013  estimated available RAM is 4096.0 MB
Wed Dec 25 21:09:23 2013  commencing duplicate removal, pass 1
Wed Dec 25 21:09:54 2013  error -9 reading relation 5769028
Wed Dec 25 21:09:54 2013  error -9 reading relation 5795980
Wed Dec 25 21:11:44 2013  error -9 reading relation 26583449
Wed Dec 25 21:11:44 2013  error -5 reading relation 26594101
Wed Dec 25 21:11:44 2013  error -11 reading relation 26594626
Wed Dec 25 21:11:44 2013  error -15 reading relation 26605276
Wed Dec 25 21:11:44 2013  error -11 reading relation 26605838
Wed Dec 25 21:13:30 2013  found 6776309 hash collisions in 45003239 relations
Wed Dec 25 21:14:03 2013  added 3 free relations
Wed Dec 25 21:14:03 2013  commencing duplicate removal, pass 2
Wed Dec 25 21:14:37 2013  found 6146822 duplicates and 38856420 unique relations
Wed Dec 25 21:14:37 2013  memory use: 213.2 MB
Wed Dec 25 21:14:37 2013  reading ideals above 27459584
Wed Dec 25 21:14:37 2013  commencing singleton removal, initial pass
Wed Dec 25 21:18:46 2013  memory use: 753.0 MB
Wed Dec 25 21:18:46 2013  reading all ideals from disk
Wed Dec 25 21:18:47 2013  memory use: 683.3 MB
Wed Dec 25 21:18:48 2013  commencing in-memory singleton removal
Wed Dec 25 21:18:50 2013  begin with 38856420 relations and 38666963 unique ideals
Wed Dec 25 21:19:07 2013  reduce to 16319073 relations and 12710295 ideals in 19 passes
Wed Dec 25 21:19:07 2013  max relations containing the same ideal: 30
Wed Dec 25 21:19:08 2013  reading ideals above 720000
Wed Dec 25 21:19:09 2013  commencing singleton removal, initial pass
Wed Dec 25 21:21:27 2013  memory use: 376.5 MB
Wed Dec 25 21:21:27 2013  reading all ideals from disk
Wed Dec 25 21:21:28 2013  memory use: 568.4 MB
Wed Dec 25 21:21:29 2013  keeping 16013894 ideals with weight <= 200, target excess is 116302
Wed Dec 25 21:21:31 2013  commencing in-memory singleton removal
Wed Dec 25 21:21:32 2013  begin with 16319077 relations and 16013894 unique ideals
Wed Dec 25 21:21:50 2013  reduce to 16300634 relations and 15995432 ideals in 11 passes
Wed Dec 25 21:21:50 2013  max relations containing the same ideal: 200
Wed Dec 25 21:21:58 2013  removing 1126470 relations and 1041324 ideals in 85146 cliques
Wed Dec 25 21:21:59 2013  commencing in-memory singleton removal
Wed Dec 25 21:22:00 2013  begin with 15174164 relations and 15995432 unique ideals
Wed Dec 25 21:22:16 2013  reduce to 15103776 relations and 14883097 ideals in 10 passes
Wed Dec 25 21:22:16 2013  max relations containing the same ideal: 193
Wed Dec 25 21:22:23 2013  removing 815220 relations and 730074 ideals in 85146 cliques
Wed Dec 25 21:22:23 2013  commencing in-memory singleton removal
Wed Dec 25 21:22:25 2013  begin with 14288556 relations and 14883097 unique ideals
Wed Dec 25 21:22:36 2013  reduce to 14249205 relations and 14113397 ideals in 8 passes
Wed Dec 25 21:22:36 2013  max relations containing the same ideal: 185
Wed Dec 25 21:22:47 2013  relations with 0 large ideals: 1648
Wed Dec 25 21:22:47 2013  relations with 1 large ideals: 204
Wed Dec 25 21:22:47 2013  relations with 2 large ideals: 5418
Wed Dec 25 21:22:47 2013  relations with 3 large ideals: 60292
Wed Dec 25 21:22:47 2013  relations with 4 large ideals: 364714
Wed Dec 25 21:22:47 2013  relations with 5 large ideals: 1308726
Wed Dec 25 21:22:47 2013  relations with 6 large ideals: 2895463
Wed Dec 25 21:22:47 2013  relations with 7+ large ideals: 9612740
Wed Dec 25 21:22:47 2013  commencing 2-way merge
Wed Dec 25 21:22:58 2013  reduce to 8232243 relation sets and 8096440 unique ideals
Wed Dec 25 21:22:58 2013  ignored 5 oversize relation sets
Wed Dec 25 21:22:58 2013  commencing full merge
Wed Dec 25 21:25:18 2013  memory use: 857.3 MB
Wed Dec 25 21:25:20 2013  found 4327061 cycles, need 4312640
Wed Dec 25 21:25:20 2013  weight of 4312640 cycles is about 301907123 (70.01/cycle)
Wed Dec 25 21:25:20 2013  distribution of cycle lengths:
Wed Dec 25 21:25:20 2013  1 relations: 678818
Wed Dec 25 21:25:20 2013  2 relations: 585003
Wed Dec 25 21:25:20 2013  3 relations: 548050
Wed Dec 25 21:25:20 2013  4 relations: 469517
Wed Dec 25 21:25:20 2013  5 relations: 384273
Wed Dec 25 21:25:20 2013  6 relations: 323111
Wed Dec 25 21:25:20 2013  7 relations: 263884
Wed Dec 25 21:25:20 2013  8 relations: 211579
Wed Dec 25 21:25:20 2013  9 relations: 169854
Wed Dec 25 21:25:20 2013  10+ relations: 678551
Wed Dec 25 21:25:20 2013  heaviest cycle: 26 relations
Wed Dec 25 21:25:21 2013  commencing cycle optimization
Wed Dec 25 21:25:27 2013  start with 23341588 relations
Wed Dec 25 21:26:04 2013  pruned 424857 relations
Wed Dec 25 21:26:04 2013  memory use: 644.9 MB
Wed Dec 25 21:26:04 2013  distribution of cycle lengths:
Wed Dec 25 21:26:04 2013  1 relations: 678818
Wed Dec 25 21:26:04 2013  2 relations: 596808
Wed Dec 25 21:26:04 2013  3 relations: 564354
Wed Dec 25 21:26:04 2013  4 relations: 475567
Wed Dec 25 21:26:04 2013  5 relations: 389038
Wed Dec 25 21:26:04 2013  6 relations: 322868
Wed Dec 25 21:26:05 2013  7 relations: 262557
Wed Dec 25 21:26:05 2013  8 relations: 208523
Wed Dec 25 21:26:05 2013  9 relations: 166461
Wed Dec 25 21:26:05 2013  10+ relations: 647646
Wed Dec 25 21:26:05 2013  heaviest cycle: 26 relations
Wed Dec 25 21:26:09 2013  RelProcTime: 1006
Wed Dec 25 21:26:09 2013  elapsed time 00:16:48
<...snipped...>
Wed Dec 25 21:26:50 2013  commencing linear algebra
Wed Dec 25 21:26:51 2013  read 4312640 cycles
Wed Dec 25 21:26:59 2013  cycles contain 14059130 unique relations
Wed Dec 25 21:28:23 2013  read 14059130 relations
Wed Dec 25 21:28:45 2013  using 20 quadratic characters above 536870814
Wed Dec 25 21:29:48 2013  building initial matrix
Wed Dec 25 21:32:25 2013  memory use: 1583.8 MB
Wed Dec 25 21:32:41 2013  read 4312640 cycles
Wed Dec 25 21:32:42 2013  matrix is 4312463 x 4312640 (1216.1 MB) with weight 375774427 (87.13/col)
Wed Dec 25 21:32:42 2013  sparse part has weight 292925947 (67.92/col)
Wed Dec 25 21:33:34 2013  filtering completed in 2 passes
Wed Dec 25 21:33:35 2013  matrix is 4308834 x 4309011 (1215.9 MB) with weight 375672184 (87.18/col)
Wed Dec 25 21:33:35 2013  sparse part has weight 292895708 (67.97/col)
Wed Dec 25 21:33:50 2013  matrix starts at (0, 0)
Wed Dec 25 21:33:52 2013  matrix is 4308834 x 4309011 (1215.9 MB) with weight 375672184 (87.18/col)
Wed Dec 25 21:33:52 2013  sparse part has weight 292895708 (67.97/col)
Wed Dec 25 21:33:52 2013  saving the first 48 matrix rows for later
Wed Dec 25 21:33:53 2013  matrix includes 64 packed rows
Wed Dec 25 21:33:54 2013  matrix is 4308786 x 4309011 (1161.4 MB) with weight 297465706 (69.03/col)
Wed Dec 25 21:33:54 2013  sparse part has weight 278601465 (64.66/col)
Wed Dec 25 21:33:54 2013  using block size 65536 for processor cache size 8192 kB
Wed Dec 25 21:34:16 2013  commencing Lanczos iteration (8 threads)
Wed Dec 25 21:34:16 2013  memory use: 1225.2 MB
Wed Dec 25 21:34:50 2013  linear algebra at 0.0%, ETA 25h53m
Wed Dec 25 21:35:01 2013  checkpointing every 170000 dimensions
Thu Dec 26 23:46:15 2013  lanczos halted after 68136 iterations (dim = 4308780)
Thu Dec 26 23:46:35 2013  recovered 34 nontrivial dependencies
Thu Dec 26 23:46:43 2013  BLanczosTime: 94793
Thu Dec 26 23:46:43 2013  
Thu Dec 26 23:46:43 2013  commencing square root phase
Thu Dec 26 23:46:43 2013  reading relations for dependency 1
Thu Dec 26 23:46:45 2013  read 2155129 cycles
Thu Dec 26 23:46:49 2013  cycles contain 7031550 unique relations
Thu Dec 26 23:47:40 2013  read 7031550 relations
Thu Dec 26 23:48:21 2013  multiplying 7031550 relations
Fri Dec 27 00:01:14 2013  multiply complete, coefficients have about 169.56 million bits
Fri Dec 27 00:01:15 2013  initial square root is modulo 1216717
Fri Dec 27 00:15:55 2013  found factor: 2327406281131039812522882776305890105861131349626214400159
Fri Dec 27 00:15:55 2013  reading relations for dependency 2
Fri Dec 27 00:15:56 2013  read 2155270 cycles
Fri Dec 27 00:16:00 2013  cycles contain 7030650 unique relations
Fri Dec 27 00:16:51 2013  read 7030650 relations
Fri Dec 27 00:17:31 2013  multiplying 7030650 relations
Fri Dec 27 00:30:24 2013  multiply complete, coefficients have about 169.54 million bits
Fri Dec 27 00:30:26 2013  initial square root is modulo 1214141
Fri Dec 27 00:45:06 2013  GCD is N, no factor found
Fri Dec 27 00:45:06 2013  reading relations for dependency 3
Fri Dec 27 00:45:07 2013  read 2154700 cycles
Fri Dec 27 00:45:11 2013  cycles contain 7028016 unique relations
Fri Dec 27 00:46:02 2013  read 7028016 relations
Fri Dec 27 00:46:42 2013  multiplying 7028016 relations
Fri Dec 27 00:59:35 2013  multiply complete, coefficients have about 169.47 million bits
Fri Dec 27 00:59:36 2013  initial square root is modulo 1207597
Fri Dec 27 01:14:13 2013  sqrtTime: 5250
Fri Dec 27 01:14:13 2013  prp48 factor: 996085973694204921652597074057714681833188460153
Fri Dec 27 01:14:13 2013  prp58 factor: 2327406281131039812522882776305890105861131349626214400159
Fri Dec 27 01:14:13 2013  prp72 factor: 265918063278399490272370385528255465322285212423431651749367542382496201
Fri Dec 27 01:14:13 2013  elapsed time 27:47:26

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e634001000Dmitry DomanovJanuary 10, 2012 09:05:37 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 37 秒 (日本時間)
2400Youcef LemsaferFebruary 4, 2013 08:03:59 UTC 2013 年 2 月 4 日 (月) 17 時 3 分 59 秒 (日本時間)
4511e64500Youcef LemsaferFebruary 4, 2013 08:03:59 UTC 2013 年 2 月 4 日 (月) 17 時 3 分 59 秒 (日本時間)
5043e62772 / 6414Youcef LemsaferFebruary 4, 2013 08:03:59 UTC 2013 年 2 月 4 日 (月) 17 時 3 分 59 秒 (日本時間)

10211-6×10105-13

c175

name 名前Serge Batalov
date 日付January 3, 2012 03:02:49 UTC 2012 年 1 月 3 日 (火) 12 時 2 分 49 秒 (日本時間)
composite number 合成数
6468060531726356599978776810795387408285879515067462634106679197904124443120296785193142923780142590934816538106608960676862853333941650648786068860161518110766111437841241857<175>
prime factors 素因数
119482815148155906864179713793114549<36>
54133814337284506100908796374847645099469437609816952320367528167297431572651862787268573737590274890117412365683838444620201560138989371293<140>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2839419651
Step 1 took 8977ms
Step 2 took 6632ms
********** Factor found in step 2: 119482815148155906864179713793114549
Found probable prime factor of 36 digits: 119482815148155906864179713793114549
Probable prime cofactor 541338143372... has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)

10215-6×10107-13

c174

name 名前Youcef Lemsafer
date 日付February 1, 2013 07:11:14 UTC 2013 年 2 月 1 日 (金) 16 時 11 分 14 秒 (日本時間)
composite number 合成数
199534214707201354357289517562752019652483483957943446686762792246872638789242989191429171887531792964514711167174622146518726164714008305106445129833419319941246997190853463<174>
prime factors 素因数
675637158087440219787057723166998837861597391<45>
295327473213629637566993228653687109144190786265790476166177386849999005445944412724161762046663582885255314811807423800603027193<129>
factorization results 素因数分解の結果
GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] [ECM]
Input number is (10^215-10^107*6-1)/501167181511907980229160743118764166424473 (174 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2813265673
Step 1 took 64850ms
Step 2 took 24149ms
********** Factor found in step 2: 675637158087440219787057723166998837861597391
Found probable prime factor of 45 digits: 675637158087440219787057723166998837861597391
Probable prime cofactor ((10^215-10^107*6-1)/501167181511907980229160743118764166424473)/675637158087440219787057723166998837861597391 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovJanuary 10, 2012 09:05:48 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 48 秒 (日本時間)

10217-6×10108-13

c189

name 名前Youcef Lemsafer
date 日付May 23, 2013 06:25:33 UTC 2013 年 5 月 23 日 (木) 15 時 25 分 33 秒 (日本時間)
composite number 合成数
294805113990741996218704474305761858708739502002926059037167678096394817309700165963737178955634359853594331807182418867657772890777695127302754489641436478309752551818348706608208045170153<189>
prime factors 素因数
283778184668094046911619714076026646385639257<45>
composite cofactor 合成数の残り
1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129<145>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^217-6*10^108-1)/(3*751*306170206679*49174603624309) (189 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2675735003
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 53485ms
Using 23 small primes for NTT
Estimated memory usage: 125M
Initializing tables of differences for F took 47ms
Computing roots of F took 1656ms
Building F from its roots took 2547ms
Computing 1/F took 1359ms
Initializing table of differences for G took 31ms
Computing roots of G took 1453ms
Building G from its roots took 2516ms
Computing roots of G took 1453ms
Building G from its roots took 2516ms
Computing G * H took 766ms
Reducing  G * H mod F took 781ms
Computing roots of G took 1453ms
Building G from its roots took 2500ms
Computing G * H took 766ms
Reducing  G * H mod F took 781ms
Computing polyeval(F,G) took 4969ms
Computing product of all F(g_i) took 15ms
Step 2 took 25796ms
********** Factor found in step 2: 283778184668094046911619714076026646385639257
Found probable prime factor of 45 digits: 283778184668094046911619714076026646385639257
Composite cofactor ((10^217-6*10^108-1)/(3*751*306170206679*49174603624309))/283778184668094046911619714076026646385639257 has 145 digits

c145

name 名前Youcef Lemsafer
date 日付October 30, 2013 04:55:43 UTC 2013 年 10 月 30 日 (水) 13 時 55 分 43 秒 (日本時間)
composite number 合成数
1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129<145>
prime factors 素因数
36573747975654359887624975231365553695295519971531940127613313<62>
28404460104150324924388613685631739103374347192889083885459891454007998750749087633<83>
factorization results 素因数分解の結果
Wed Oct 23 22:40:07 2013  
Wed Oct 23 22:40:07 2013  
Wed Oct 23 22:40:07 2013  Msieve v. 1.51 (SVN 845)
Wed Oct 23 22:40:07 2013  random seeds: d7d00c10 b8601b40
Wed Oct 23 22:40:07 2013  factoring 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 (145 digits)
Wed Oct 23 22:40:10 2013  searching for 15-digit factors
Wed Oct 23 22:40:13 2013  commencing number field sieve (145-digit input)
Wed Oct 23 22:40:13 2013  commencing number field sieve polynomial selection
Wed Oct 23 22:40:13 2013  polynomial degree: 5
Wed Oct 23 22:40:13 2013  max stage 1 norm: 1.08e+022
Wed Oct 23 22:40:13 2013  max stage 2 norm: 1.77e+020
Wed Oct 23 22:40:13 2013  min E-value: 9.48e-012
Wed Oct 23 22:40:13 2013  poly select deadline: 331657
Wed Oct 23 22:40:13 2013  time limit set to 92.13 CPU-hours
Wed Oct 23 22:40:13 2013  expecting poly E from 1.17e-011 to > 1.35e-011
Wed Oct 23 22:40:13 2013  searching leading coefficients from 1 to 3000000
Wed Oct 23 22:40:14 2013  using GPU 0 (GeForce GTX 660)
Wed Oct 23 22:40:14 2013  selected card has CUDA arch 3.0
Thu Oct 24 22:07:33 2013  polynomial selection complete
Thu Oct 24 22:07:33 2013  elapsed time 23:27:26
Thu Oct 24 22:08:22 2013  
Thu Oct 24 22:08:22 2013  Msieve v. 1.51 (SVN 845)
Thu Oct 24 22:08:22 2013  random seeds: 39415234 b41713a6
Thu Oct 24 22:08:22 2013  factoring 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 (145 digits)
Thu Oct 24 22:08:26 2013  searching for 15-digit factors
Thu Oct 24 22:08:29 2013  commencing number field sieve (145-digit input)
Thu Oct 24 22:08:29 2013  commencing number field sieve polynomial selection
Thu Oct 24 22:08:29 2013  polynomial degree: 5
Thu Oct 24 22:08:29 2013  max stage 1 norm: 1.08e+022
Thu Oct 24 22:08:29 2013  max stage 2 norm: 1.77e+020
Thu Oct 24 22:08:29 2013  min E-value: 9.48e-012
Thu Oct 24 22:08:29 2013  poly select deadline: 331657
Sun Oct 27 00:00:40 2013  polynomial selection complete
Sun Oct 27 00:00:40 2013  elapsed time 49:52:18
Sun Oct 27 00:03:51 2013  
Sun Oct 27 02:22:46 2013  Msieve v. 1.51 (SVN 845)
Sun Oct 27 02:22:46 2013  random seeds: 4249287c 8250b991
Sun Oct 27 02:22:46 2013  factoring 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 (145 digits)
Sun Oct 27 02:22:48 2013  searching for 15-digit factors
Sun Oct 27 02:22:49 2013  commencing number field sieve (145-digit input)
Sun Oct 27 02:22:49 2013  commencing number field sieve polynomial selection
Sun Oct 27 02:22:49 2013  polynomial degree: 5
Sun Oct 27 02:22:49 2013  max stage 1 norm: 1.08e+022
Sun Oct 27 02:22:49 2013  max stage 2 norm: 1.77e+020
Sun Oct 27 02:22:49 2013  min E-value: 9.48e-012
Sun Oct 27 02:22:49 2013  poly select deadline: 331657
Sun Oct 27 10:52:24 2013  polynomial selection complete
Sun Oct 27 10:52:24 2013  R0: -12360953197594707983004655009
Sun Oct 27 10:52:24 2013  R1: 4088891911315799
Sun Oct 27 10:52:24 2013  A0: -83774480776385476950466422782623344
Sun Oct 27 10:52:24 2013  A1: 95553101899647010050333365472
Sun Oct 27 10:52:24 2013  A2: 679770526324878378799096
Sun Oct 27 10:52:24 2013  A3: -175851899955834973
Sun Oct 27 10:52:24 2013  A4: -157977719430
Sun Oct 27 10:52:24 2013  A5: 3600
Sun Oct 27 10:52:24 2013  skew 2100532.04, size 5.911e-014, alpha -6.985, combined = 1.226e-011 rroots = 5
Sun Oct 27 10:52:24 2013  elapsed time 09:29:38
Sun Oct 27 13:53:38 2013 -> factmsieve.py (v0.76)
Sun Oct 27 13:53:38 2013 -> This is client 1 of 1
Sun Oct 27 13:53:38 2013 -> Running on 12 Cores with 2 hyper-threads per Core
Sun Oct 27 13:53:38 2013 -> Working with NAME = 33133_108
Sun Oct 27 13:53:38 2013 -> Converting msieve polynomial (*.fb) to ggnfs (*.poly) format.
Sun Oct 27 13:53:38 2013 -> Selected lattice siever: gnfs-lasieve4I14e
Sun Oct 27 13:53:38 2013 -> Creating param file to detect parameter changes...
Sun Oct 27 13:53:38 2013 -> Running setup ...
Sun Oct 27 13:53:38 2013 -> Estimated minimum relations needed: 3.44021e+07
Sun Oct 27 13:53:38 2013 -> cleaning up before a restart
Sun Oct 27 13:53:38 2013 -> Running lattice siever ...
Sun Oct 27 13:53:38 2013 -> entering sieving loop
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7950000 in 7950000 .. 7954166 as file 33133_108.job.T0
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7954166 in 7954166 .. 7958332 as file 33133_108.job.T1
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7958332 in 7958332 .. 7962498 as file 33133_108.job.T2
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7962498 in 7962498 .. 7966664 as file 33133_108.job.T3
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7966664 in 7966664 .. 7970830 as file 33133_108.job.T4
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7970830 in 7970830 .. 7974996 as file 33133_108.job.T5
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7974996 in 7974996 .. 7979162 as file 33133_108.job.T6
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7979162 in 7979162 .. 7983328 as file 33133_108.job.T7
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7983328 in 7983328 .. 7987494 as file 33133_108.job.T8
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7987494 in 7987494 .. 7991660 as file 33133_108.job.T9
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7991660 in 7991660 .. 7995826 as file 33133_108.job.T10
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7995826 in 7995826 .. 7999992 as file 33133_108.job.T11
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 7999992 in 7999992 .. 8004158 as file 33133_108.job.T12
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 8004158 in 8004158 .. 8008324 as file 33133_108.job.T13
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 8008324 in 8008324 .. 8012490 as file 33133_108.job.T14
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 8012490 in 8012490 .. 8016656 as file 33133_108.job.T15
Sun Oct 27 13:53:38 2013 -> making sieve job for q = 8016656 in 8016656 .. 8020822 as file 33133_108.job.T16
Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8020822 in 8020822 .. 8024988 as file 33133_108.job.T17
Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8024988 in 8024988 .. 8029154 as file 33133_108.job.T18
Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8029154 in 8029154 .. 8033320 as file 33133_108.job.T19
Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8033320 in 8033320 .. 8037486 as file 33133_108.job.T20
Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8037486 in 8037486 .. 8041652 as file 33133_108.job.T21
Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8041652 in 8041652 .. 8045818 as file 33133_108.job.T22
Sun Oct 27 13:53:39 2013 -> making sieve job for q = 8045818 in 8045818 .. 8049984 as file 33133_108.job.T23
Sun Oct 27 13:53:39 2013 -> Lattice sieving algebraic q from 7950000 to 8050000.
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a 33133_108.job.T0
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a 33133_108.job.T1
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a 33133_108.job.T2
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a 33133_108.job.T3
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a 33133_108.job.T4
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a 33133_108.job.T5
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T6 -v -n6 -a 33133_108.job.T6
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T7 -v -n7 -a 33133_108.job.T7
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T8 -v -n8 -a 33133_108.job.T8
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T9 -v -n9 -a 33133_108.job.T9
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T10 -v -n10 -a 33133_108.job.T10
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T11 -v -n11 -a 33133_108.job.T11
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T12 -v -n12 -a 33133_108.job.T12
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T13 -v -n13 -a 33133_108.job.T13
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T14 -v -n14 -a 33133_108.job.T14
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T15 -v -n15 -a 33133_108.job.T15
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T16 -v -n16 -a 33133_108.job.T16
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T17 -v -n17 -a 33133_108.job.T17
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T18 -v -n18 -a 33133_108.job.T18
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T19 -v -n19 -a 33133_108.job.T19
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T20 -v -n20 -a 33133_108.job.T20
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T21 -v -n21 -a 33133_108.job.T21
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T22 -v -n22 -a 33133_108.job.T22
Sun Oct 27 13:53:39 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T23 -v -n23 -a 33133_108.job.T23
Sun Oct 27 14:25:45 2013 Found 424643 relations, 1.2% of the estimated minimum (34402132).
...
Sun Oct 27 17:59:21 2013 Found 3400250 relations, 9.9% of the estimated minimum (34402132).
...
Sun Oct 27 22:02:46 2013 Found 6771758 relations, 19.7% of the estimated minimum (34402132).
...
Mon Oct 28 06:45:00 2013 Found 13952109 relations, 40.6% of the estimated minimum (34402132).
...
Mon Oct 28 10:55:27 2013 Found 17341293 relations, 50.4% of the estimated minimum (34402132).
...
Mon Oct 28 23:37:32 2013 Found 27456775 relations, 79.8% of the estimated minimum (34402132).
...
Tue Oct 29 08:48:47 2013 Found 34600945 relations, 100.6% of the estimated minimum (34402132).
...
Tue Oct 29 18:22:45 2013 Found 40076559 relations, 116.5% of the estimated minimum (34402132).
Tue Oct 29 18:22:47 2013  commencing relation filtering
Tue Oct 29 18:22:47 2013  estimated available RAM is 4096.0 MB
Tue Oct 29 18:22:47 2013  commencing duplicate removal, pass 1
Tue Oct 29 18:27:05 2013  found 4527823 hash collisions in 40076558 relations
Tue Oct 29 18:28:00 2013  added 2 free relations
Tue Oct 29 18:28:00 2013  commencing duplicate removal, pass 2
Tue Oct 29 18:28:30 2013  found 3701121 duplicates and 36375439 unique relations
Tue Oct 29 18:28:30 2013  memory use: 197.2 MB
Tue Oct 29 18:28:30 2013  reading ideals above 17367040
Tue Oct 29 18:28:36 2013  commencing singleton removal, initial pass
Tue Oct 29 18:33:25 2013  memory use: 753.0 MB
Tue Oct 29 18:33:25 2013  reading all ideals from disk
Tue Oct 29 18:33:25 2013  memory use: 660.3 MB
Tue Oct 29 18:33:27 2013  commencing in-memory singleton removal
Tue Oct 29 18:33:29 2013  begin with 36375439 relations and 38323039 unique ideals
Tue Oct 29 18:33:48 2013  reduce to 12610415 relations and 10315084 ideals in 25 passes
Tue Oct 29 18:33:48 2013  max relations containing the same ideal: 45
Tue Oct 29 18:33:49 2013  reading ideals above 720000
Tue Oct 29 18:33:49 2013  commencing singleton removal, initial pass
Tue Oct 29 18:35:57 2013  memory use: 344.5 MB
Tue Oct 29 18:35:58 2013  reading all ideals from disk
Tue Oct 29 18:35:58 2013  memory use: 421.5 MB
Tue Oct 29 18:35:59 2013  commencing in-memory singleton removal
Tue Oct 29 18:36:00 2013  begin with 12610418 relations and 12425086 unique ideals
Tue Oct 29 18:36:14 2013  reduce to 12594155 relations and 12408810 ideals in 14 passes
Tue Oct 29 18:36:14 2013  max relations containing the same ideal: 192
Tue Oct 29 18:36:20 2013  removing 519593 relations and 494057 ideals in 25536 cliques
Tue Oct 29 18:36:21 2013  commencing in-memory singleton removal
Tue Oct 29 18:36:21 2013  begin with 12074562 relations and 12408810 unique ideals
Tue Oct 29 18:36:32 2013  reduce to 12056054 relations and 11896181 ideals in 11 passes
Tue Oct 29 18:36:32 2013  max relations containing the same ideal: 185
Tue Oct 29 18:36:38 2013  removing 370977 relations and 345441 ideals in 25536 cliques
Tue Oct 29 18:36:38 2013  commencing in-memory singleton removal
Tue Oct 29 18:36:39 2013  begin with 11685077 relations and 11896181 unique ideals
Tue Oct 29 18:36:47 2013  reduce to 11675126 relations and 11540765 ideals in 8 passes
Tue Oct 29 18:36:47 2013  max relations containing the same ideal: 181
Tue Oct 29 18:36:50 2013  relations with 0 large ideals: 479
Tue Oct 29 18:36:50 2013  relations with 1 large ideals: 362
Tue Oct 29 18:36:50 2013  relations with 2 large ideals: 8268
Tue Oct 29 18:36:50 2013  relations with 3 large ideals: 84037
Tue Oct 29 18:36:50 2013  relations with 4 large ideals: 466673
Tue Oct 29 18:36:50 2013  relations with 5 large ideals: 1496039
Tue Oct 29 18:36:50 2013  relations with 6 large ideals: 2897447
Tue Oct 29 18:36:50 2013  relations with 7+ large ideals: 6721821
Tue Oct 29 18:36:50 2013  commencing 2-way merge
Tue Oct 29 18:37:00 2013  reduce to 6372875 relation sets and 6238527 unique ideals
Tue Oct 29 18:37:00 2013  ignored 13 oversize relation sets
Tue Oct 29 18:37:00 2013  commencing full merge
Tue Oct 29 18:39:01 2013  memory use: 610.4 MB
Tue Oct 29 18:39:02 2013  found 3296364 cycles, need 3288727
Tue Oct 29 18:39:03 2013  weight of 3288727 cycles is about 230317796 (70.03/cycle)
Tue Oct 29 18:39:03 2013  distribution of cycle lengths:
Tue Oct 29 18:39:03 2013  1 relations: 476454
Tue Oct 29 18:39:03 2013  2 relations: 465117
Tue Oct 29 18:39:03 2013  3 relations: 430317
Tue Oct 29 18:39:03 2013  4 relations: 361313
Tue Oct 29 18:39:03 2013  5 relations: 308331
Tue Oct 29 18:39:03 2013  6 relations: 248975
Tue Oct 29 18:39:03 2013  7 relations: 198836
Tue Oct 29 18:39:03 2013  8 relations: 157383
Tue Oct 29 18:39:03 2013  9 relations: 126019
Tue Oct 29 18:39:03 2013  10+ relations: 515982
Tue Oct 29 18:39:03 2013  heaviest cycle: 28 relations
Tue Oct 29 18:39:03 2013  commencing cycle optimization
Tue Oct 29 18:39:08 2013  start with 18198857 relations
Tue Oct 29 18:39:40 2013  pruned 266596 relations
Tue Oct 29 18:39:40 2013  memory use: 517.6 MB
Tue Oct 29 18:39:41 2013  distribution of cycle lengths:
Tue Oct 29 18:39:41 2013  1 relations: 476454
Tue Oct 29 18:39:41 2013  2 relations: 473301
Tue Oct 29 18:39:41 2013  3 relations: 441249
Tue Oct 29 18:39:41 2013  4 relations: 365327
Tue Oct 29 18:39:41 2013  5 relations: 310809
Tue Oct 29 18:39:41 2013  6 relations: 247895
Tue Oct 29 18:39:41 2013  7 relations: 197021
Tue Oct 29 18:39:41 2013  8 relations: 154950
Tue Oct 29 18:39:41 2013  9 relations: 123512
Tue Oct 29 18:39:41 2013  10+ relations: 498209
Tue Oct 29 18:39:41 2013  heaviest cycle: 28 relations
Tue Oct 29 18:39:44 2013  RelProcTime: 1017
Tue Oct 29 18:39:44 2013  elapsed time 00:16:59
Tue Oct 29 18:39:44 2013 LatSieveTime: 2957.02
Tue Oct 29 18:39:44 2013 -> Running matrix solving step ...
Tue Oct 29 18:39:44 2013  
Tue Oct 29 18:39:46 2013  commencing linear algebra
Tue Oct 29 18:39:47 2013  read 3288727 cycles
Tue Oct 29 18:39:54 2013  cycles contain 11450391 unique relations
Tue Oct 29 18:41:12 2013  read 11450391 relations
Tue Oct 29 18:41:32 2013  using 20 quadratic characters above 536870850
Tue Oct 29 18:42:37 2013  building initial matrix
Tue Oct 29 18:45:30 2013  memory use: 1362.2 MB
Tue Oct 29 18:45:34 2013  read 3288727 cycles
Tue Oct 29 18:45:36 2013  matrix is 3288549 x 3288727 (957.9 MB) with weight 315512628 (95.94/col)
Tue Oct 29 18:45:36 2013  sparse part has weight 224787317 (68.35/col)
Tue Oct 29 18:46:17 2013  filtering completed in 2 passes
Tue Oct 29 18:46:19 2013  matrix is 3283708 x 3283885 (957.5 MB) with weight 315316726 (96.02/col)
Tue Oct 29 18:46:19 2013  sparse part has weight 224740608 (68.44/col)
Tue Oct 29 18:46:41 2013  matrix starts at (0, 0)
Tue Oct 29 18:46:43 2013  matrix is 3283708 x 3283885 (957.5 MB) with weight 315316726 (96.02/col)
Tue Oct 29 18:46:43 2013  sparse part has weight 224740608 (68.44/col)
Tue Oct 29 18:46:43 2013  saving the first 48 matrix rows for later
Tue Oct 29 18:46:44 2013  matrix includes 64 packed rows
Tue Oct 29 18:46:45 2013  matrix is 3283660 x 3283885 (920.3 MB) with weight 252602821 (76.92/col)
Tue Oct 29 18:46:45 2013  sparse part has weight 221539102 (67.46/col)
Tue Oct 29 18:46:45 2013  using block size 65536 for processor cache size 15360 kB
Tue Oct 29 18:47:07 2013  commencing Lanczos iteration (24 threads)
Tue Oct 29 18:47:07 2013  memory use: 1349.2 MB
Tue Oct 29 18:47:22 2013  linear algebra at 0.0%, ETA 8h24m
Tue Oct 29 18:47:26 2013  checkpointing every 410000 dimensions
Wed Oct 30 03:10:32 2013  lanczos halted after 51927 iterations (dim = 3283660)
Wed Oct 30 03:10:40 2013  recovered 32 nontrivial dependencies
Wed Oct 30 03:10:40 2013  BLanczosTime: 30654
Wed Oct 30 03:10:40 2013  elapsed time 08:30:56
Wed Oct 30 03:10:40 2013 -> Running square root step ...
Wed Oct 30 03:10:41 2013  
Wed Oct 30 03:10:41 2013  
Wed Oct 30 03:10:44 2013  
Wed Oct 30 03:10:44 2013  commencing square root phase
Wed Oct 30 03:10:44 2013  reading relations for dependency 1
Wed Oct 30 03:10:46 2013  read 1640746 cycles
Wed Oct 30 03:10:51 2013  cycles contain 5721898 unique relations
Wed Oct 30 03:11:54 2013  read 5721898 relations
Wed Oct 30 03:12:30 2013  multiplying 5721898 relations
Wed Oct 30 03:35:45 2013  multiply complete, coefficients have about 281.04 million bits
Wed Oct 30 03:35:50 2013  initial square root is modulo 110477
Wed Oct 30 04:03:58 2013  sqrtTime: 3194
Wed Oct 30 04:03:58 2013  prp62 factor: 36573747975654359887624975231365553695295519971531940127613313
Wed Oct 30 04:03:58 2013  prp83 factor: 28404460104150324924388613685631739103374347192889083885459891454007998750749087633
Wed Oct 30 04:03:58 2013  elapsed time 00:53:17
Wed Oct 30 04:03:58 2013 -> Computing 1.3831e+09 scale for this machine...
Wed Oct 30 04:03:58 2013 -> procrels -speedtest> PIPE
Wed Oct 30 04:04:05 2013 -> Factorization summary written to g145-33133_108.txt




Number: 33133_108
N = 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129 (145 digits)
Divisors found:
r1=36573747975654359887624975231365553695295519971531940127613313 (pp62)
r2=28404460104150324924388613685631739103374347192889083885459891454007998750749087633 (pp83)
Version: Msieve v. 1.50 (SVN 708)
Total time: 62.44 hours.
Factorization parameters were as follows:
n: 1038857565233722974620749986771872310155473637361038529312939753315767829250305261136208190969374664663374293668205652462401937401450324574458129
Y0: -12360953197594707983004655009
Y1: 4088891911315799
c0: -83774480776385476950466422782623344
c1: 95553101899647010050333365472
c2: 679770526324878378799096
c3: -175851899955834973
c4: -157977719430
c5: 3600
skew: 2100532.04
type: gnfs
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 40076559
Relations: 5721898 relations
Pruned matrix : 3283660 x 3283885
Polynomial selection time: 0.00 hours.
Total sieving time: 52.76 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 8.52 hours.
time per square root: 0.89 hours.
Prototype def-par.txt line would be: gnfs,144,5,67,2000,5e-06,0.28,250,20,50000,3600,15900000,15900000,29,29,58,58,2.6,2.6,100000
total time: 62.44 hours.
Intel64 Family 6 Model 45 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 24, speed: 2.00GHz
software ソフトウェア
msieve 1.51 GPU for polynomial selection, GNFS (SVN 430), msieve 1.50 (SVN 708)
execution environment 実行環境
Windows 7 Professional 64 bits, 2 x Intel Xeon E5-2620 @ 2.00 GHz, 32 GB RAM, 2 x NVidia GeForce GTX 660.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e623201000Dmitry DomanovJanuary 10, 2012 09:05:58 UTC 2012 年 1 月 10 日 (火) 18 時 5 分 58 秒 (日本時間)
1320Youcef LemsaferMay 23, 2013 06:20:33 UTC 2013 年 5 月 23 日 (木) 15 時 20 分 33 秒 (日本時間)
4511e640042532Youcef LemsaferMay 23, 2013 06:20:33 UTC 2013 年 5 月 23 日 (木) 15 時 20 分 33 秒 (日本時間)
1472Youcef LemsaferJune 24, 2013 06:32:11 UTC 2013 年 6 月 24 日 (月) 15 時 32 分 11 秒 (日本時間)
5043e62192992Youcef LemsaferJune 24, 2013 06:32:11 UTC 2013 年 6 月 24 日 (月) 15 時 32 分 11 秒 (日本時間)
1200Youcef LemsaferOctober 20, 2013 10:20:55 UTC 2013 年 10 月 20 日 (日) 19 時 20 分 55 秒 (日本時間)
5511e73862 / 147651024Youcef LemsaferJune 24, 2013 06:32:11 UTC 2013 年 6 月 24 日 (月) 15 時 32 分 11 秒 (日本時間)
1638Youcef LemsaferOctober 20, 2013 10:20:55 UTC 2013 年 10 月 20 日 (日) 19 時 20 分 55 秒 (日本時間)
1200Youcef LemsaferOctober 25, 2013 05:14:59 UTC 2013 年 10 月 25 日 (金) 14 時 14 分 59 秒 (日本時間)
6026e7840 / 40235600Youcef LemsaferJune 24, 2013 06:32:11 UTC 2013 年 6 月 24 日 (月) 15 時 32 分 11 秒 (日本時間)
240Youcef LemsaferOctober 25, 2013 19:03:16 UTC 2013 年 10 月 26 日 (土) 4 時 3 分 16 秒 (日本時間)

10219-6×10109-13

c209

name 名前Youcef Lemsafer
date 日付November 2, 2013 16:40:02 UTC 2013 年 11 月 3 日 (日) 1 時 40 分 2 秒 (日本時間)
composite number 合成数
10887190449893707243156307099585387188107454802401050778344668555023263681651547559040345387814886928391343737848229377555087420251007013241874471788950371577697395565426335034226827456590185723580154343457141<209>
prime factors 素因数
398830916295615075374681731442765640162181703<45>
composite cofactor 合成数の残り
27297759539343429433071737969935132026862154614131050929868091795213957714098870866966074021978853503483525043581713896625791263171958797573467535475033200722075747<164>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^219-6*10^109-1)/(3*31*1667*592469) (209 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3618733474
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+007        2.2e+008        2.2e+009
Step 1 took 262409ms
Using 25 small primes for NTT
Estimated memory usage: 277M
Initializing tables of differences for F took 63ms
Computing roots of F took 4492ms
Building F from its roots took 6973ms
Computing 1/F took 3525ms
Initializing table of differences for G took 94ms
Computing roots of G took 3541ms
Building G from its roots took 7208ms
Computing roots of G took 3479ms
Building G from its roots took 7020ms
Computing G * H took 1872ms
Reducing  G * H mod F took 1903ms
Computing roots of G took 3526ms
Building G from its roots took 7207ms
Computing G * H took 1841ms
Reducing  G * H mod F took 1887ms
Computing roots of G took 3557ms
Building G from its roots took 7207ms
Computing G * H took 1841ms
Reducing  G * H mod F took 1919ms
Computing roots of G took 3525ms
Building G from its roots took 7207ms
Computing G * H took 1809ms
Reducing  G * H mod F took 1904ms
Computing polyeval(F,G) took 13619ms
Computing product of all F(g_i) took 47ms
Step 2 took 97610ms
********** Factor found in step 2: 398830916295615075374681731442765640162181703
Found probable prime factor of 45 digits: 398830916295615075374681731442765640162181703
Composite cofactor ((10^219-6*10^109-1)/(3*31*1667*592469))/398830916295615075374681731442765640162181703 has 164 digits

c164

name 名前Youcef Lemsafer
date 日付March 7, 2014 21:03:08 UTC 2014 年 3 月 8 日 (土) 6 時 3 分 8 秒 (日本時間)
composite number 合成数
27297759539343429433071737969935132026862154614131050929868091795213957714098870866966074021978853503483525043581713896625791263171958797573467535475033200722075747<164>
prime factors 素因数
561564117081865602320385564833789902383819612624827<51>
48610227592878630940462498801387703208844477223184107622153020501514060798402936648654532883641141853854224771961<113>
factorization results 素因数分解の結果
<Sieving using gnfs-lasieve4I14e win64>
<  Q_0 Q_1     Q_t     Duration (d)    Relations       Progress (%)    Throughput (rel/s)      Speed (q/s)     Yield (rel/q)   Threads Environment>
<  14000000  18000000        18000000        1,235   7164694 100     67,15   37,49   1,79    8       Intel Xeon W3530 @ 2.8 GHz>
<  18000000  25000000        25000000        2,57    11498584        100     51,78   31,52   1,64    6       Intel Xeon W3530 @ 2.8 GHz>
<  25000000  40000000        40000000        1,976   21432106        100     125,53  87,86   1,43    24      Intel Xeon E5-2620 @ 2.0 GHz (x2)>
<  40000000  47000000        47000000        0,907   8780250 100     112,04  89,33   1,25    24      Intel Xeon E5-2620 @ 2.0 GHz (x2)>
<  47000000  47700000        47700000        0,263   844113  100     37,15   30,81   1,21    6       Intel Xeon W3530 @ 2.8 GHz>

<Post-processing using msieve 1.52 win64>

Fri Mar 07 07:24:28 2014  
Fri Mar 07 07:24:28 2014  
Fri Mar 07 07:24:28 2014  Msieve v. 1.52 (SVN 959)
Fri Mar 07 07:24:28 2014  random seeds: 93434838 89f730b3
Fri Mar 07 07:24:28 2014  factoring 27297759539343429433071737969935132026862154614131050929868091795213957714098870866966074021978853503483525043581713896625791263171958797573467535475033200722075747 (164 digits)
Fri Mar 07 07:24:29 2014  no P-1/P+1/ECM available, skipping
Fri Mar 07 07:24:29 2014  commencing number field sieve (164-digit input)
Fri Mar 07 07:24:29 2014  R0: -1000000000000000000000000000000000000
Fri Mar 07 07:24:29 2014  R1: 1
Fri Mar 07 07:24:29 2014  A0: -1
Fri Mar 07 07:24:29 2014  A1: 0
Fri Mar 07 07:24:29 2014  A2: 0
Fri Mar 07 07:24:29 2014  A3: -60
Fri Mar 07 07:24:29 2014  A4: 0
Fri Mar 07 07:24:29 2014  A5: 0
Fri Mar 07 07:24:29 2014  A6: 1000
Fri Mar 07 07:24:29 2014  skew 0.32, size 6.844e-011, alpha 0.082, combined = 2.558e-012 rroots = 2
Fri Mar 07 07:24:29 2014  
Fri Mar 07 07:24:29 2014  commencing relation filtering
Fri Mar 07 07:24:29 2014  estimated available RAM is 32739.1 MB
Fri Mar 07 07:24:29 2014  commencing duplicate removal, pass 1
Fri Mar 07 07:33:43 2014  skipped 8 relations with b > 2^32
Fri Mar 07 07:33:43 2014  found 8098649 hash collisions in 49719739 relations
Fri Mar 07 07:34:08 2014  added 1218634 free relations
Fri Mar 07 07:34:08 2014  commencing duplicate removal, pass 2
Fri Mar 07 07:34:40 2014  found 7462257 duplicates and 43476116 unique relations
Fri Mar 07 07:34:40 2014  memory use: 213.2 MB
Fri Mar 07 07:34:40 2014  reading ideals above 720000
Fri Mar 07 07:34:40 2014  commencing singleton removal, initial pass
Fri Mar 07 07:45:35 2014  memory use: 1378.0 MB
Fri Mar 07 07:45:35 2014  reading all ideals from disk
Fri Mar 07 07:45:36 2014  memory use: 1570.1 MB
Fri Mar 07 07:45:41 2014  keeping 45210795 ideals with weight <= 200, target excess is 227683
Fri Mar 07 07:45:46 2014  commencing in-memory singleton removal
Fri Mar 07 07:45:50 2014  begin with 43476116 relations and 45210795 unique ideals
Fri Mar 07 07:46:34 2014  reduce to 22170871 relations and 21007111 ideals in 17 passes
Fri Mar 07 07:46:34 2014  max relations containing the same ideal: 133
Fri Mar 07 07:46:47 2014  removing 3018989 relations and 2618989 ideals in 400000 cliques
Fri Mar 07 07:46:48 2014  commencing in-memory singleton removal
Fri Mar 07 07:46:50 2014  begin with 19151882 relations and 21007111 unique ideals
Fri Mar 07 07:47:07 2014  reduce to 18767904 relations and 17994357 ideals in 10 passes
Fri Mar 07 07:47:07 2014  max relations containing the same ideal: 122
Fri Mar 07 07:47:18 2014  removing 2269587 relations and 1869587 ideals in 400000 cliques
Fri Mar 07 07:47:19 2014  commencing in-memory singleton removal
Fri Mar 07 07:47:20 2014  begin with 16498317 relations and 17994357 unique ideals
Fri Mar 07 07:47:38 2014  reduce to 16268026 relations and 15889140 ideals in 12 passes
Fri Mar 07 07:47:38 2014  max relations containing the same ideal: 117
Fri Mar 07 07:47:47 2014  removing 760120 relations and 645347 ideals in 114773 cliques
Fri Mar 07 07:47:48 2014  commencing in-memory singleton removal
Fri Mar 07 07:47:49 2014  begin with 15507906 relations and 15889140 unique ideals
Fri Mar 07 07:47:59 2014  reduce to 15482305 relations and 15218018 ideals in 7 passes
Fri Mar 07 07:47:59 2014  max relations containing the same ideal: 111
Fri Mar 07 07:48:11 2014  relations with 0 large ideals: 8146
Fri Mar 07 07:48:11 2014  relations with 1 large ideals: 2858
Fri Mar 07 07:48:11 2014  relations with 2 large ideals: 23932
Fri Mar 07 07:48:11 2014  relations with 3 large ideals: 192475
Fri Mar 07 07:48:11 2014  relations with 4 large ideals: 868452
Fri Mar 07 07:48:11 2014  relations with 5 large ideals: 2338478
Fri Mar 07 07:48:11 2014  relations with 6 large ideals: 3891718
Fri Mar 07 07:48:11 2014  relations with 7+ large ideals: 8156246
Fri Mar 07 07:48:11 2014  commencing 2-way merge
Fri Mar 07 07:48:23 2014  reduce to 9693740 relation sets and 9429453 unique ideals
Fri Mar 07 07:48:23 2014  commencing full merge
Fri Mar 07 07:51:32 2014  memory use: 1202.5 MB
Fri Mar 07 07:51:33 2014  found 5142747 cycles, need 5107653
Fri Mar 07 07:51:34 2014  weight of 5107653 cycles is about 357785763 (70.05/cycle)
Fri Mar 07 07:51:34 2014  distribution of cycle lengths:
Fri Mar 07 07:51:34 2014  1 relations: 700843
Fri Mar 07 07:51:34 2014  2 relations: 672316
Fri Mar 07 07:51:34 2014  3 relations: 623416
Fri Mar 07 07:51:34 2014  4 relations: 538578
Fri Mar 07 07:51:34 2014  5 relations: 470852
Fri Mar 07 07:51:34 2014  6 relations: 395189
Fri Mar 07 07:51:34 2014  7 relations: 338762
Fri Mar 07 07:51:34 2014  8 relations: 286985
Fri Mar 07 07:51:34 2014  9 relations: 240023
Fri Mar 07 07:51:34 2014  10+ relations: 840689
Fri Mar 07 07:51:34 2014  heaviest cycle: 22 relations
Fri Mar 07 07:51:35 2014  commencing cycle optimization
Fri Mar 07 07:51:42 2014  start with 28138809 relations
Fri Mar 07 07:52:34 2014  pruned 666488 relations
Fri Mar 07 07:52:34 2014  memory use: 921.6 MB
Fri Mar 07 07:52:34 2014  distribution of cycle lengths:
Fri Mar 07 07:52:34 2014  1 relations: 700843
Fri Mar 07 07:52:34 2014  2 relations: 685453
Fri Mar 07 07:52:34 2014  3 relations: 643732
Fri Mar 07 07:52:34 2014  4 relations: 550545
Fri Mar 07 07:52:34 2014  5 relations: 480169
Fri Mar 07 07:52:34 2014  6 relations: 398807
Fri Mar 07 07:52:34 2014  7 relations: 341642
Fri Mar 07 07:52:34 2014  8 relations: 286766
Fri Mar 07 07:52:34 2014  9 relations: 238015
Fri Mar 07 07:52:34 2014  10+ relations: 781681
Fri Mar 07 07:52:34 2014  heaviest cycle: 22 relations
Fri Mar 07 07:52:40 2014  RelProcTime: 1691
Fri Mar 07 07:52:40 2014  
Fri Mar 07 07:52:40 2014  commencing linear algebra
Fri Mar 07 07:52:41 2014  read 5107653 cycles
Fri Mar 07 07:52:50 2014  cycles contain 15278942 unique relations
Fri Mar 07 07:55:50 2014  read 15278942 relations
Fri Mar 07 07:56:15 2014  using 20 quadratic characters above 536870658
Fri Mar 07 07:57:37 2014  building initial matrix
Fri Mar 07 08:01:11 2014  memory use: 1953.2 MB
Fri Mar 07 08:01:16 2014  read 5107653 cycles
Fri Mar 07 08:01:17 2014  matrix is 5107476 x 5107653 (1533.3 MB) with weight 459180279 (89.90/col)
Fri Mar 07 08:01:17 2014  sparse part has weight 345757905 (67.69/col)
Fri Mar 07 08:02:10 2014  filtering completed in 2 passes
Fri Mar 07 08:02:11 2014  matrix is 5105258 x 5105435 (1533.1 MB) with weight 459114578 (89.93/col)
Fri Mar 07 08:02:11 2014  sparse part has weight 345741786 (67.72/col)
Fri Mar 07 08:02:39 2014  matrix starts at (0, 0)
Fri Mar 07 08:02:40 2014  matrix is 5105258 x 5105435 (1533.1 MB) with weight 459114578 (89.93/col)
Fri Mar 07 08:02:40 2014  sparse part has weight 345741786 (67.72/col)
Fri Mar 07 08:02:40 2014  saving the first 48 matrix rows for later
Fri Mar 07 08:02:42 2014  matrix includes 64 packed rows
Fri Mar 07 08:02:43 2014  matrix is 5105210 x 5105435 (1470.5 MB) with weight 364650516 (71.42/col)
Fri Mar 07 08:02:43 2014  sparse part has weight 334436357 (65.51/col)
Fri Mar 07 08:02:43 2014  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Fri Mar 07 08:03:07 2014  commencing Lanczos iteration (16 threads)
Fri Mar 07 08:03:07 2014  memory use: 1209.4 MB
Fri Mar 07 08:03:18 2014  linear algebra at 0.0%, ETA 9h20m
Fri Mar 07 08:03:22 2014  checkpointing every 530000 dimensions
Fri Mar 07 17:43:37 2014  lanczos halted after 80733 iterations (dim = 5105207)
Fri Mar 07 17:43:43 2014  recovered 37 nontrivial dependencies
Fri Mar 07 17:43:46 2014  BLanczosTime: 35466
Fri Mar 07 17:43:46 2014  
Fri Mar 07 17:43:46 2014  commencing square root phase
Fri Mar 07 17:43:46 2014  reading relations for dependency 1
Fri Mar 07 17:43:47 2014  read 2553860 cycles
Fri Mar 07 17:43:51 2014  cycles contain 7641122 unique relations
Fri Mar 07 17:45:25 2014  read 7641122 relations
Fri Mar 07 17:46:07 2014  multiplying 7641122 relations
Fri Mar 07 17:56:12 2014  multiply complete, coefficients have about 255.27 million bits
Fri Mar 07 17:56:13 2014  initial square root is modulo 1448597369
Fri Mar 07 18:07:40 2014  sqrtTime: 1434
Fri Mar 07 18:07:40 2014  prp51 factor: 561564117081865602320385564833789902383819612624827
Fri Mar 07 18:07:40 2014  prp113 factor: 48610227592878630940462498801387703208844477223184107622153020501514060798402936648654532883641141853854224771961
Fri Mar 07 18:07:40 2014  elapsed time 10:43:12

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e623201000Dmitry DomanovJanuary 10, 2012 09:06:06 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 6 秒 (日本時間)
1320Youcef LemsaferNovember 2, 2013 07:07:24 UTC 2013 年 11 月 2 日 (土) 16 時 7 分 24 秒 (日本時間)
4511e64200Youcef LemsaferNovember 2, 2013 07:07:24 UTC 2013 年 11 月 2 日 (土) 16 時 7 分 24 秒 (日本時間)
5043e61702 / 6522220Youcef LemsaferNovember 2, 2013 16:24:14 UTC 2013 年 11 月 3 日 (日) 1 時 24 分 14 秒 (日本時間)
820Youcef LemsaferNovember 4, 2013 14:09:10 UTC 2013 年 11 月 4 日 (月) 23 時 9 分 10 秒 (日本時間)
662Youcef LemsaferJanuary 10, 2014 11:07:08 UTC 2014 年 1 月 10 日 (金) 20 時 7 分 8 秒 (日本時間)

10221-6×10110-13

c183

name 名前Dmitry Domanov
date 日付January 6, 2012 08:50:07 UTC 2012 年 1 月 6 日 (金) 17 時 50 分 7 秒 (日本時間)
composite number 合成数
103471071880078349468052466067041185662454214073945595896838484419658467423457382540170162689735987156175041889695061074958662369357244100353801700763188014829919303643220062729862071<183>
prime factors 素因数
428099670919575994721401525747271<33>
composite cofactor 合成数の残り
241698555053355122376380248053890147484050958402322893069321775339793283701058204164479139441257788191300730027735650387300034779508359179374510038801<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3352423099
Step 1 took 23529ms
********** Factor found in step 1: 428099670919575994721401525747271
Found probable prime factor of 33 digits: 428099670919575994721401525747271

c150

name 名前Youcef Lemsafer
date 日付November 2, 2013 16:42:16 UTC 2013 年 11 月 3 日 (日) 1 時 42 分 16 秒 (日本時間)
composite number 合成数
241698555053355122376380248053890147484050958402322893069321775339793283701058204164479139441257788191300730027735650387300034779508359179374510038801<150>
prime factors 素因数
404809457372845267284312663845747396503513<42>
597067461372922780195885658528030100108875619932872275118194303075377467263777381803789980964995705342109177<108>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^221-6*10^110-1)/(3*3877*1454325107*57135034571895080821438157*428099670919575994721401525747271) (150 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3949844921
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 40248ms
Using 19 small primes for NTT
Estimated memory usage: 104M
Initializing tables of differences for F took 47ms
Computing roots of F took 1498ms
Building F from its roots took 2246ms
Computing 1/F took 1232ms
Initializing table of differences for G took 31ms
Computing roots of G took 1326ms
Building G from its roots took 2294ms
Computing roots of G took 1342ms
Building G from its roots took 2340ms
Computing G * H took 656ms
Reducing  G * H mod F took 686ms
Computing roots of G took 1310ms
Building G from its roots took 2294ms
Computing G * H took 655ms
Reducing  G * H mod F took 671ms
Computing polyeval(F,G) took 4384ms
Computing product of all F(g_i) took 31ms
Step 2 took 23213ms
********** Factor found in step 2: 404809457372845267284312663845747396503513
Found probable prime factor of 42 digits: 404809457372845267284312663845747396503513
Probable prime cofactor ((10^221-6*10^110-1)/(3*3877*1454325107*57135034571895080821438157*428099670919575994721401525747271))/404809457372845267284312663845747396503513 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJanuary 9, 2012 03:11:18 UTC 2012 年 1 月 9 日 (月) 12 時 11 分 18 秒 (日本時間)
4511e61160 / 3963Youcef LemsaferNovember 2, 2013 16:24:59 UTC 2013 年 11 月 3 日 (日) 1 時 24 分 59 秒 (日本時間)

10223-6×10111-13

c212

name 名前Youcef Lemsafer
date 日付November 2, 2013 16:43:27 UTC 2013 年 11 月 3 日 (日) 1 時 43 分 27 秒 (日本時間)
composite number 合成数
10961809806079738389005459258495539714687620864430889420945768725954261861437950470180975956191728887052335771379289253639116871958560974882020286556498026638343883796627960715888841108545363668981348390913369501<212>
prime factors 素因数
19057624661002395582459531718659690323321507<44>
composite cofactor 合成数の残り
575192869052085088027199359833162498584811309685762520238195449806691642158776342201026021582456138286833491888301260738173019789210790348409658991853356193397889342143<168>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^223-6*10^111-1)/(3*304086039833) (212 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2424150703
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 64975ms
Using 26 small primes for NTT
Estimated memory usage: 137M
Initializing tables of differences for F took 62ms
Computing roots of F took 1826ms
Building F from its roots took 3151ms
Computing 1/F took 1763ms
Initializing table of differences for G took 62ms
Computing roots of G took 1701ms
Building G from its roots took 3322ms
Computing roots of G took 1669ms
Building G from its roots took 3323ms
Computing G * H took 920ms
Reducing  G * H mod F took 967ms
Computing roots of G took 1701ms
Building G from its roots took 3322ms
Computing G * H took 890ms
Reducing  G * H mod F took 967ms
Computing polyeval(F,G) took 6302ms
Computing product of all F(g_i) took 32ms
Step 2 took 32120ms
********** Factor found in step 2: 19057624661002395582459531718659690323321507
Found probable prime factor of 44 digits: 19057624661002395582459531718659690323321507
Composite cofactor ((10^223-6*10^111-1)/(3*304086039833))/19057624661002395582459531718659690323321507 has 168 digits

c168

name 名前Youcef Lemsafer
date 日付March 8, 2014 09:40:51 UTC 2014 年 3 月 8 日 (土) 18 時 40 分 51 秒 (日本時間)
composite number 合成数
575192869052085088027199359833162498584811309685762520238195449806691642158776342201026021582456138286833491888301260738173019789210790348409658991853356193397889342143<168>
prime factors 素因数
127676980346667730146445815810827122482876623<45>
4505063226670344529383197378296975458597117189123248142884020651970947708977889031528331718168432892849055642756784664212241<124>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^223-6*10^111-1)/(3*304086039833*19057624661002395582459531718659690323321507) (168 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2710031975
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 453650ms
Using 21 small primes for NTT
Estimated memory usage: 478M
Initializing tables of differences for F took 296ms
Computing roots of F took 14914ms
Building F from its roots took 11731ms
Computing 1/F took 5429ms
Initializing table of differences for G took 234ms
Computing roots of G took 12652ms
Building G from its roots took 11700ms
Computing roots of G took 12558ms
Building G from its roots took 11653ms
Computing G * H took 2979ms
Reducing  G * H mod F took 3089ms
Computing roots of G took 12574ms
Building G from its roots took 11669ms
Computing G * H took 2979ms
Reducing  G * H mod F took 3058ms
Computing roots of G took 12589ms
Building G from its roots took 11654ms
Computing G * H took 2964ms
Reducing  G * H mod F took 3057ms
Computing polyeval(F,G) took 22355ms
Computing product of all F(g_i) took 78ms
Step 2 took 170697ms
********** Factor found in step 2: 127676980346667730146445815810827122482876623
Found probable prime factor of 45 digits: 127676980346667730146445815810827122482876623
Probable prime cofactor ((10^223-6*10^111-1)/(3*304086039833*19057624661002395582459531718659690323321507))/127676980346667730146445815810827122482876623 has 124 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e623201000Dmitry DomanovJanuary 10, 2012 09:06:30 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 30 秒 (日本時間)
1320Youcef LemsaferNovember 2, 2013 16:25:43 UTC 2013 年 11 月 3 日 (日) 1 時 25 分 43 秒 (日本時間)
4511e6493Youcef LemsaferNovember 2, 2013 16:25:43 UTC 2013 年 11 月 3 日 (日) 1 時 25 分 43 秒 (日本時間)
5043e61536 / 6720Youcef LemsaferMarch 7, 2014 21:09:46 UTC 2014 年 3 月 8 日 (土) 6 時 9 分 46 秒 (日本時間)
5511e7263 / 17172Youcef LemsaferMarch 8, 2014 09:24:48 UTC 2014 年 3 月 8 日 (土) 18 時 24 分 48 秒 (日本時間)

10225-6×10112-13

c179

name 名前Youcef Lemsafer
date 日付March 20, 2014 03:34:17 UTC 2014 年 3 月 20 日 (木) 12 時 34 分 17 秒 (日本時間)
composite number 合成数
21763382368902901861987176180415928715948966393620293112065653833535580037564507852214700871645441220101899402311461463281694624504038967498339312904435237470309220819002910537211<179>
prime factors 素因数
863005471681735918231863277817210484670301263915481184766381<60>
25218127906527255697481252153790505073506546831787786830762679820067856855026846131754566868800677181304231837702767431<119>
factorization results 素因数分解の結果
<Parameters used:>
#
# 33133_112, C179, SNFS_diff=225
#
n: 21763382368902901861987176180415928715948966393620293112065653833535580037564507852214700871645441220101899402311461463281694624504038967498339312904435237470309220819002910537211
m: 10000000000000000000000000000000000000
deg: 6
c6: 1000
c3: -60
c0: -1
skew: 0.32
# Murphy_E = 1.798e-12
type: snfs
lss: 1
rlim: 40000000
alim: 40000000
lpbr: 29
lpba: 29
mfbr: 80
mfba: 58
rlambda: 3.1
alambda: 2.7

<Sieving on Intel Xeon W3530 @ 2.8GHz + 2x Intel Xeon E5-2620 @ 2.0GHz>
<took around 5.5 days>

<Q_0      Q_1     Duration (d)    Relations       Yield (rel/q)   Throughput (rel/s)      Threads Environment>
<14000000    43000000        4,209   34708758        1,2     95,44   24      Intel Xeon E5-2620 @ 2.0GHz (x2)>
<43000000    53000000        4,56    9780980 0,98    24,83   6       Intel Xeon W3530 @ 2.8GHz>
<53000000    58000000        0,712   4577910 0,92    74,42   24      Intel Xeon E5-2620 @ 2.0GHz (x2)>
<58000000    59000000        0,368   896415  0,9     28,19   8       Intel Xeon W3530 @ 2.8GHz>
<59000000    59500000        0,074   444980  0,89    69,6    24      Intel Xeon E5-2620 @ 2.0GHz (x2)>
<59500000    61500000        0,304   1762950 0,88    67,12   24      Intel Xeon E5-2620 @ 2.0GHz (x2)>


<Post-processing using 16 threads on 2x Intel Xeon E5-2620 @ 2.0GHz>

Tue Mar 18 22:28:07 2014  
Tue Mar 18 22:28:07 2014  
Tue Mar 18 22:28:07 2014  Msieve v. 1.52 (SVN 959)
Tue Mar 18 22:28:07 2014  random seeds: 941fe400 be5a015c
Tue Mar 18 22:28:07 2014  factoring 21763382368902901861987176180415928715948966393620293112065653833535580037564507852214700871645441220101899402311461463281694624504038967498339312904435237470309220819002910537211 (179 digits)
Tue Mar 18 22:28:08 2014  no P-1/P+1/ECM available, skipping
Tue Mar 18 22:28:08 2014  commencing number field sieve (179-digit input)
Tue Mar 18 22:28:08 2014  R0: -10000000000000000000000000000000000000
Tue Mar 18 22:28:08 2014  R1: 1
Tue Mar 18 22:28:08 2014  A0: -1
Tue Mar 18 22:28:08 2014  A1: 0
Tue Mar 18 22:28:08 2014  A2: 0
Tue Mar 18 22:28:08 2014  A3: -60
Tue Mar 18 22:28:08 2014  A4: 0
Tue Mar 18 22:28:08 2014  A5: 0
Tue Mar 18 22:28:08 2014  A6: 1000
Tue Mar 18 22:28:08 2014  skew 0.32, size 3.545e-011, alpha 0.082, combined = 1.600e-012 rroots = 2
Tue Mar 18 22:28:08 2014  
Tue Mar 18 22:28:08 2014  commencing relation filtering
Tue Mar 18 22:28:08 2014  estimated available RAM is 32739.1 MB
Tue Mar 18 22:28:08 2014  commencing duplicate removal, pass 1
Tue Mar 18 22:37:39 2014  skipped 13 relations with b > 2^32
Tue Mar 18 22:37:39 2014  found 9268816 hash collisions in 50409030 relations
Tue Mar 18 22:38:05 2014  added 1218642 free relations
Tue Mar 18 22:38:05 2014  commencing duplicate removal, pass 2
Tue Mar 18 22:38:38 2014  found 9032635 duplicates and 42595037 unique relations
Tue Mar 18 22:38:38 2014  memory use: 330.4 MB
Tue Mar 18 22:38:39 2014  reading ideals above 720000
Tue Mar 18 22:38:39 2014  commencing singleton removal, initial pass
Tue Mar 18 22:49:32 2014  memory use: 1378.0 MB
Tue Mar 18 22:49:32 2014  reading all ideals from disk
Tue Mar 18 22:49:33 2014  memory use: 1563.5 MB
Tue Mar 18 22:49:38 2014  keeping 45500065 ideals with weight <= 200, target excess is 221961
Tue Mar 18 22:49:44 2014  commencing in-memory singleton removal
Tue Mar 18 22:49:48 2014  begin with 42595037 relations and 45500065 unique ideals
Tue Mar 18 22:50:49 2014  reduce to 21072960 relations and 21025810 ideals in 21 passes
Tue Mar 18 22:50:49 2014  max relations containing the same ideal: 128
Tue Mar 18 22:50:51 2014  filtering wants 1000000 more relations
Tue Mar 18 22:50:51 2014  elapsed time 00:22:44
Wed Mar 19 07:02:34 2014  
Wed Mar 19 07:02:34 2014  
Wed Mar 19 07:02:34 2014  Msieve v. 1.52 (SVN 959)
Wed Mar 19 07:02:34 2014  random seeds: a232b628 1fec36b2
Wed Mar 19 07:02:34 2014  factoring 21763382368902901861987176180415928715948966393620293112065653833535580037564507852214700871645441220101899402311461463281694624504038967498339312904435237470309220819002910537211 (179 digits)
Wed Mar 19 07:02:35 2014  no P-1/P+1/ECM available, skipping
Wed Mar 19 07:02:35 2014  commencing number field sieve (179-digit input)
Wed Mar 19 07:02:35 2014  R0: -10000000000000000000000000000000000000
Wed Mar 19 07:02:35 2014  R1: 1
Wed Mar 19 07:02:35 2014  A0: -1
Wed Mar 19 07:02:35 2014  A1: 0
Wed Mar 19 07:02:35 2014  A2: 0
Wed Mar 19 07:02:35 2014  A3: -60
Wed Mar 19 07:02:35 2014  A4: 0
Wed Mar 19 07:02:35 2014  A5: 0
Wed Mar 19 07:02:35 2014  A6: 1000
Wed Mar 19 07:02:35 2014  skew 0.32, size 3.545e-011, alpha 0.082, combined = 1.600e-012 rroots = 2
Wed Mar 19 07:02:35 2014  
Wed Mar 19 07:02:35 2014  commencing relation filtering
Wed Mar 19 07:02:35 2014  estimated available RAM is 32739.1 MB
Wed Mar 19 07:02:35 2014  commencing duplicate removal, pass 1
Wed Mar 19 07:12:16 2014  skipped 13 relations with b > 2^32
Wed Mar 19 07:12:16 2014  found 9771517 hash collisions in 52171980 relations
Wed Mar 19 07:12:42 2014  added 1218644 free relations
Wed Mar 19 07:12:42 2014  commencing duplicate removal, pass 2
Wed Mar 19 07:13:16 2014  found 9547723 duplicates and 43842901 unique relations
Wed Mar 19 07:13:16 2014  memory use: 330.4 MB
Wed Mar 19 07:13:16 2014  reading ideals above 720000
Wed Mar 19 07:13:17 2014  commencing singleton removal, initial pass
Wed Mar 19 07:24:24 2014  memory use: 1378.0 MB
Wed Mar 19 07:24:24 2014  reading all ideals from disk
Wed Mar 19 07:24:25 2014  memory use: 1609.9 MB
Wed Mar 19 07:24:31 2014  keeping 45897607 ideals with weight <= 200, target excess is 229240
Wed Mar 19 07:24:38 2014  commencing in-memory singleton removal
Wed Mar 19 07:24:43 2014  begin with 43842901 relations and 45897607 unique ideals
Wed Mar 19 07:25:37 2014  reduce to 23027711 relations and 22360597 ideals in 19 passes
Wed Mar 19 07:25:37 2014  max relations containing the same ideal: 138
Wed Mar 19 07:25:54 2014  removing 1926348 relations and 1725750 ideals in 200598 cliques
Wed Mar 19 07:25:55 2014  commencing in-memory singleton removal
Wed Mar 19 07:25:58 2014  begin with 21101363 relations and 22360597 unique ideals
Wed Mar 19 07:26:25 2014  reduce to 20953353 relations and 20484855 ideals in 10 passes
Wed Mar 19 07:26:25 2014  max relations containing the same ideal: 132
Wed Mar 19 07:26:38 2014  removing 1403287 relations and 1202689 ideals in 200598 cliques
Wed Mar 19 07:26:39 2014  commencing in-memory singleton removal
Wed Mar 19 07:26:41 2014  begin with 19550066 relations and 20484855 unique ideals
Wed Mar 19 07:27:03 2014  reduce to 19467967 relations and 19199199 ideals in 9 passes
Wed Mar 19 07:27:03 2014  max relations containing the same ideal: 123
Wed Mar 19 07:27:21 2014  relations with 0 large ideals: 8451
Wed Mar 19 07:27:21 2014  relations with 1 large ideals: 2202
Wed Mar 19 07:27:21 2014  relations with 2 large ideals: 19926
Wed Mar 19 07:27:21 2014  relations with 3 large ideals: 172114
Wed Mar 19 07:27:21 2014  relations with 4 large ideals: 837483
Wed Mar 19 07:27:21 2014  relations with 5 large ideals: 2461167
Wed Mar 19 07:27:21 2014  relations with 6 large ideals: 4515615
Wed Mar 19 07:27:21 2014  relations with 7+ large ideals: 11451009
Wed Mar 19 07:27:21 2014  commencing 2-way merge
Wed Mar 19 07:27:42 2014  reduce to 12327698 relation sets and 12058931 unique ideals
Wed Mar 19 07:27:42 2014  ignored 1 oversize relation sets
Wed Mar 19 07:27:42 2014  commencing full merge
Wed Mar 19 07:32:51 2014  memory use: 1513.0 MB
Wed Mar 19 07:32:53 2014  found 6504406 cycles, need 6471131
Wed Mar 19 07:32:54 2014  weight of 6471131 cycles is about 452985376 (70.00/cycle)
Wed Mar 19 07:32:54 2014  distribution of cycle lengths:
Wed Mar 19 07:32:54 2014  1 relations: 932810
Wed Mar 19 07:32:54 2014  2 relations: 892042
Wed Mar 19 07:32:54 2014  3 relations: 823080
Wed Mar 19 07:32:54 2014  4 relations: 697824
Wed Mar 19 07:32:54 2014  5 relations: 588807
Wed Mar 19 07:32:54 2014  6 relations: 484119
Wed Mar 19 07:32:54 2014  7 relations: 402903
Wed Mar 19 07:32:54 2014  8 relations: 329854
Wed Mar 19 07:32:54 2014  9 relations: 270555
Wed Mar 19 07:32:54 2014  10+ relations: 1049137
Wed Mar 19 07:32:54 2014  heaviest cycle: 26 relations
Wed Mar 19 07:32:56 2014  commencing cycle optimization
Wed Mar 19 07:33:05 2014  start with 35425694 relations
Wed Mar 19 07:34:25 2014  pruned 853040 relations
Wed Mar 19 07:34:25 2014  memory use: 1156.6 MB
Wed Mar 19 07:34:25 2014  distribution of cycle lengths:
Wed Mar 19 07:34:25 2014  1 relations: 932810
Wed Mar 19 07:34:25 2014  2 relations: 910584
Wed Mar 19 07:34:25 2014  3 relations: 851613
Wed Mar 19 07:34:25 2014  4 relations: 711297
Wed Mar 19 07:34:25 2014  5 relations: 600003
Wed Mar 19 07:34:25 2014  6 relations: 487179
Wed Mar 19 07:34:25 2014  7 relations: 403224
Wed Mar 19 07:34:25 2014  8 relations: 325983
Wed Mar 19 07:34:25 2014  9 relations: 266190
Wed Mar 19 07:34:25 2014  10+ relations: 982248
Wed Mar 19 07:34:25 2014  heaviest cycle: 25 relations
Wed Mar 19 07:34:35 2014  RelProcTime: 1920
Wed Mar 19 07:34:35 2014  
Wed Mar 19 07:34:35 2014  commencing linear algebra
Wed Mar 19 07:34:37 2014  read 6471131 cycles
Wed Mar 19 07:34:49 2014  cycles contain 19188137 unique relations
Wed Mar 19 07:38:30 2014  read 19188137 relations
Wed Mar 19 07:39:09 2014  using 20 quadratic characters above 536870780
Wed Mar 19 07:40:53 2014  building initial matrix
Wed Mar 19 07:45:50 2014  memory use: 2514.0 MB
Wed Mar 19 07:45:56 2014  read 6471131 cycles
Wed Mar 19 07:45:58 2014  matrix is 6470952 x 6471131 (1941.9 MB) with weight 580519924 (89.71/col)
Wed Mar 19 07:45:58 2014  sparse part has weight 437862016 (67.66/col)
Wed Mar 19 07:47:13 2014  filtering completed in 2 passes
Wed Mar 19 07:47:15 2014  matrix is 6466923 x 6467102 (1941.6 MB) with weight 580394263 (89.75/col)
Wed Mar 19 07:47:15 2014  sparse part has weight 437827958 (67.70/col)
Wed Mar 19 07:48:05 2014  matrix starts at (0, 0)
Wed Mar 19 07:48:06 2014  matrix is 6466923 x 6467102 (1941.6 MB) with weight 580394263 (89.75/col)
Wed Mar 19 07:48:06 2014  sparse part has weight 437827958 (67.70/col)
Wed Mar 19 07:48:06 2014  saving the first 48 matrix rows for later
Wed Mar 19 07:48:09 2014  matrix includes 64 packed rows
Wed Mar 19 07:48:10 2014  matrix is 6466875 x 6467102 (1863.2 MB) with weight 461378080 (71.34/col)
Wed Mar 19 07:48:10 2014  sparse part has weight 423763359 (65.53/col)
Wed Mar 19 07:48:10 2014  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Wed Mar 19 07:48:42 2014  commencing Lanczos iteration (16 threads)
Wed Mar 19 07:48:42 2014  memory use: 1538.8 MB
Wed Mar 19 07:48:59 2014  linear algebra at 0.0%, ETA 18h59m
Wed Mar 19 07:49:04 2014  checkpointing every 350000 dimensions
Thu Mar 20 01:57:33 2014  lanczos halted after 102265 iterations (dim = 6466873)
Thu Mar 20 01:57:42 2014  recovered 39 nontrivial dependencies
Thu Mar 20 01:57:46 2014  BLanczosTime: 66191
Thu Mar 20 01:57:46 2014  
Thu Mar 20 01:57:46 2014  commencing square root phase
Thu Mar 20 01:57:46 2014  reading relations for dependency 1
Thu Mar 20 01:57:48 2014  read 3232785 cycles
Thu Mar 20 01:57:53 2014  cycles contain 9595568 unique relations
Thu Mar 20 01:59:48 2014  read 9595568 relations
Thu Mar 20 02:00:42 2014  multiplying 9595568 relations
Thu Mar 20 02:16:30 2014  multiply complete, coefficients have about 322.30 million bits
Thu Mar 20 02:16:31 2014  initial square root is modulo 607001
Thu Mar 20 02:32:37 2014  GCD is N, no factor found
Thu Mar 20 02:32:37 2014  reading relations for dependency 2
Thu Mar 20 02:32:38 2014  read 3232271 cycles
Thu Mar 20 02:32:43 2014  cycles contain 9592000 unique relations
Thu Mar 20 02:34:38 2014  read 9592000 relations
Thu Mar 20 02:35:44 2014  multiplying 9592000 relations
Thu Mar 20 02:51:28 2014  multiply complete, coefficients have about 322.18 million bits
Thu Mar 20 02:51:30 2014  initial square root is modulo 603917
Thu Mar 20 03:07:39 2014  GCD is N, no factor found
Thu Mar 20 03:07:39 2014  reading relations for dependency 3
Thu Mar 20 03:07:41 2014  read 3233000 cycles
Thu Mar 20 03:07:46 2014  cycles contain 9591722 unique relations
Thu Mar 20 03:09:41 2014  read 9591722 relations
Thu Mar 20 03:10:35 2014  multiplying 9591722 relations
Thu Mar 20 03:26:19 2014  multiply complete, coefficients have about 322.17 million bits
Thu Mar 20 03:26:21 2014  initial square root is modulo 603689
Thu Mar 20 03:42:36 2014  GCD is 1, no factor found
Thu Mar 20 03:42:36 2014  reading relations for dependency 4
Thu Mar 20 03:42:38 2014  read 3231508 cycles
Thu Mar 20 03:42:43 2014  cycles contain 9590912 unique relations
Thu Mar 20 03:44:38 2014  read 9590912 relations
Thu Mar 20 03:45:44 2014  multiplying 9590912 relations
Thu Mar 20 04:01:27 2014  multiply complete, coefficients have about 322.14 million bits
Thu Mar 20 04:01:28 2014  initial square root is modulo 602951
Thu Mar 20 04:17:26 2014  sqrtTime: 8380
Thu Mar 20 04:17:26 2014  prp60 factor: 863005471681735918231863277817210484670301263915481184766381
Thu Mar 20 04:17:26 2014  prp119 factor: 25218127906527255697481252153790505073506546831787786830762679820067856855026846131754566868800677181304231837702767431
Thu Mar 20 04:17:26 2014  elapsed time 21:14:52
software ソフトウェア
GGNFS (SVN 440) win64, msieve 1.52 (SVN 959) win64
execution environment 実行環境
Windows 7 Pro 64-bits, Intel Xeon W3530 @ 2.8GHz, 8GB RAM + Intel Xeon E5-2620 @ 2.0GHz (x2) 32 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e622101000Dmitry DomanovJanuary 10, 2012 09:06:41 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 41 秒 (日本時間)
250Youcef LemsaferDecember 5, 2013 18:45:03 UTC 2013 年 12 月 6 日 (金) 3 時 45 分 3 秒 (日本時間)
960Youcef LemsaferDecember 6, 2013 14:59:13 UTC 2013 年 12 月 6 日 (金) 23 時 59 分 13 秒 (日本時間)
4511e64133337Youcef LemsaferDecember 6, 2013 14:59:13 UTC 2013 年 12 月 6 日 (金) 23 時 59 分 13 秒 (日本時間)
3796Youcef LemsaferMarch 12, 2014 15:59:33 UTC 2014 年 3 月 13 日 (木) 0 時 59 分 33 秒 (日本時間)
5043e6720 / 1710240Youcef LemsaferMarch 12, 2014 16:01:46 UTC 2014 年 3 月 13 日 (木) 1 時 1 分 46 秒 (日本時間)
480Youcef LemsaferMarch 13, 2014 10:07:40 UTC 2014 年 3 月 13 日 (木) 19 時 7 分 40 秒 (日本時間)
5511e7960 / 16065Youcef LemsaferMarch 12, 2014 16:01:46 UTC 2014 年 3 月 13 日 (木) 1 時 1 分 46 秒 (日本時間)
6026e7504 / 41502144Youcef LemsaferMarch 12, 2014 20:26:40 UTC 2014 年 3 月 13 日 (木) 5 時 26 分 40 秒 (日本時間)
240Youcef LemsaferMarch 15, 2014 08:19:14 UTC 2014 年 3 月 15 日 (土) 17 時 19 分 14 秒 (日本時間)
120Youcef LemsaferMarch 17, 2014 09:54:49 UTC 2014 年 3 月 17 日 (月) 18 時 54 分 49 秒 (日本時間)

10227-6×10113-13

c188

name 名前Dmitry Domanov
date 日付January 6, 2012 11:50:54 UTC 2012 年 1 月 6 日 (金) 20 時 50 分 54 秒 (日本時間)
composite number 合成数
21114080505937931129552895069469144562174583706845091872710520479452193827528958432068817945476482057375858751484280720299595036198813699983586901873595194645217950088709971125874963289841<188>
prime factors 素因数
3255241604409861803356853810203258405801<40>
6486179236998807419573881121128767777194443028540626040160454710841345419794506805518311890966599026098711005692524413267583258345918058435667052041<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4035854712
Step 1 took 23390ms
********** Factor found in step 1: 3255241604409861803356853810203258405801
Found probable prime factor of 40 digits: 3255241604409861803356853810203258405801

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)

10229-6×10114-13

c194

name 名前Youcef Lemsafer
date 日付March 20, 2014 07:39:16 UTC 2014 年 3 月 20 日 (木) 16 時 39 分 16 秒 (日本時間)
composite number 合成数
46790436259473823997786362143087792934237491431537284566588855132830100747831503644248576036202904598947041614194196085095845905389318708898822004042122647502579022598246676984424692830777178883<194>
prime factors 素因数
11343607342655945320719831225827950716973<41>
4124828623389083627847515259490036312520993739845404588867702451894689045338955831224159100414218887417539068271970829183061711242498393683555632065330671<154>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^229-6*10^114-1)/(3*17^2*71*8039*431880336125117581885579511) (194 digits)
Using B1=31000000, B2=144289975846, polynomial Dickson(12), sigma=1825926888
Step 1 took 275639ms
Step 2 took 81479ms
********** Factor found in step 2: 11343607342655945320719831225827950716973
Found probable prime factor of 41 digits: 11343607342655945320719831225827950716973
Probable prime cofactor ((10^229-6*10^114-1)/(3*17^2*71*8039*431880336125117581885579511))/11343607342655945320719831225827950716973 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e620001000Dmitry DomanovJanuary 10, 2012 09:06:49 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 49 秒 (日本時間)
1000Youcef LemsaferDecember 8, 2013 16:31:17 UTC 2013 年 12 月 9 日 (月) 1 時 31 分 17 秒 (日本時間)
4511e62293 / 4033274Youcef LemsaferDecember 8, 2013 17:46:43 UTC 2013 年 12 月 9 日 (月) 2 時 46 分 43 秒 (日本時間)
2019Youcef LemsaferMarch 20, 2014 07:38:32 UTC 2014 年 3 月 20 日 (木) 16 時 38 分 32 秒 (日本時間)

10231-6×10115-13

c179

name 名前Dmitry Domanov
date 日付January 6, 2012 17:22:05 UTC 2012 年 1 月 7 日 (土) 2 時 22 分 5 秒 (日本時間)
composite number 合成数
55246541002294458276011929122235394455699070284367327261054100046713270854317974233440433144191004472423663616646953440756346138788882108874230452326353339216963457425328761952007<179>
prime factors 素因数
557418902280789360464398979461849429<36>
99111351940600401724175427427579883453075337034347612369968478389167410703006078295116762403959121971263524360823985904854970614250778007848683<143>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=720782199
Step 1 took 23422ms
Step 2 took 8934ms
********** Factor found in step 2: 557418902280789360464398979461849429
Found probable prime factor of 36 digits: 557418902280789360464398979461849429

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)

10233-6×10116-13

c179

name 名前Youcef Lemsafer
date 日付November 23, 2014 06:14:49 UTC 2014 年 11 月 23 日 (日) 15 時 14 分 49 秒 (日本時間)
composite number 合成数
32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029<179>
prime factors 素因数
1164986897093292966798815637820983134287878590251485642491<58>
28290515269834352784047735521323580652490957235445050598845535832274898666491603349215692426380306111920953933603607338719<122>
factorization results 素因数分解の結果
<Parameters used:>
#
# 33133_116   C179, SNFS_diff = 234
# Sieve from 20M to 118M using gnfs-lasieve4I14e -r
#
n: 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029
m: 1000000000000000000000000000000000000000
deg: 6
c6: 1
c3: -6
c0: -10
skew: 1.47
# Murphy_E = 8.392e-13
type: snfs
lss: 1
rlim: 56000000
alim: 56000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7


<Sieving rational q from 20e6 to 118004000 using 640 threads on 20x Dual Intel Xeon E5-2680 v2 @2.8GHz 60GB RAM>
<running 64bit Ubuntu Linux took around 11.7 hours.>
<Post processing on Dual Intel Xeon E5-2620 @2.0GHz 32GB RAM running Windows 7 Pro 64bit.>

Fri Nov 21 23:35:27 2014  
Fri Nov 21 23:35:27 2014  
Fri Nov 21 23:35:27 2014  Msieve v. 1.53 (SVN 975)
Fri Nov 21 23:35:27 2014  random seeds: 86af93c3 6235f3d8
Fri Nov 21 23:35:27 2014  factoring 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029 (179 digits)
Fri Nov 21 23:35:29 2014  no P-1/P+1/ECM available, skipping
Fri Nov 21 23:35:29 2014  commencing number field sieve (179-digit input)
Fri Nov 21 23:35:29 2014  R0: -1000000000000000000000000000000000000000
Fri Nov 21 23:35:29 2014  R1: 1
Fri Nov 21 23:35:29 2014  A0: -10
Fri Nov 21 23:35:29 2014  A1: 0
Fri Nov 21 23:35:29 2014  A2: 0
Fri Nov 21 23:35:29 2014  A3: -6
Fri Nov 21 23:35:29 2014  A4: 0
Fri Nov 21 23:35:29 2014  A5: 0
Fri Nov 21 23:35:29 2014  A6: 1
Fri Nov 21 23:35:29 2014  skew 1.47, size 1.234e-11, alpha 2.240, combined = 7.455e-13 rroots = 2
Fri Nov 21 23:35:29 2014  
Fri Nov 21 23:35:29 2014  commencing relation filtering
Fri Nov 21 23:35:29 2014  estimated available RAM is 32739.0 MB
Fri Nov 21 23:35:29 2014  commencing duplicate removal, pass 1
Sat Nov 22 00:05:54 2014  skipped 7 relations with b > 2^32
Sat Nov 22 00:05:54 2014  found 22705834 hash collisions in 113160640 relations
Sat Nov 22 00:06:23 2014  added 406196 free relations
Sat Nov 22 00:06:23 2014  commencing duplicate removal, pass 2
Sat Nov 22 00:07:55 2014  found 22526551 duplicates and 91040285 unique relations
Sat Nov 22 00:07:55 2014  memory use: 660.8 MB
Sat Nov 22 00:07:55 2014  reading ideals above 720000
Sat Nov 22 00:07:55 2014  commencing singleton removal, initial pass
Sat Nov 22 00:31:13 2014  memory use: 2756.0 MB
Sat Nov 22 00:31:14 2014  reading all ideals from disk
Sat Nov 22 00:31:17 2014  memory use: 3471.4 MB
Sat Nov 22 00:31:31 2014  keeping 88723465 ideals with weight <= 200, target excess is 487623
Sat Nov 22 00:31:49 2014  commencing in-memory singleton removal
Sat Nov 22 00:32:00 2014  begin with 91040285 relations and 88723465 unique ideals
Sat Nov 22 00:33:53 2014  reduce to 53239756 relations and 46509411 ideals in 15 passes
Sat Nov 22 00:33:53 2014  max relations containing the same ideal: 147
Sat Nov 22 00:34:37 2014  removing 6021144 relations and 5021144 ideals in 1000000 cliques
Sat Nov 22 00:34:41 2014  commencing in-memory singleton removal
Sat Nov 22 00:34:48 2014  begin with 47218612 relations and 46509411 unique ideals
Sat Nov 22 00:35:48 2014  reduce to 46714839 relations and 40972415 ideals in 9 passes
Sat Nov 22 00:35:48 2014  max relations containing the same ideal: 133
Sat Nov 22 00:36:26 2014  removing 4588049 relations and 3588049 ideals in 1000000 cliques
Sat Nov 22 00:36:30 2014  commencing in-memory singleton removal
Sat Nov 22 00:36:36 2014  begin with 42126790 relations and 40972415 unique ideals
Sat Nov 22 00:37:22 2014  reduce to 41796513 relations and 37047040 ideals in 8 passes
Sat Nov 22 00:37:22 2014  max relations containing the same ideal: 127
Sat Nov 22 00:37:56 2014  removing 4131428 relations and 3131428 ideals in 1000000 cliques
Sat Nov 22 00:37:59 2014  commencing in-memory singleton removal
Sat Nov 22 00:38:04 2014  begin with 37665085 relations and 37047040 unique ideals
Sat Nov 22 00:38:45 2014  reduce to 37370746 relations and 33614821 ideals in 8 passes
Sat Nov 22 00:38:45 2014  max relations containing the same ideal: 119
Sat Nov 22 00:39:13 2014  removing 3890492 relations and 2890492 ideals in 1000000 cliques
Sat Nov 22 00:39:16 2014  commencing in-memory singleton removal
Sat Nov 22 00:39:19 2014  begin with 33480254 relations and 33614821 unique ideals
Sat Nov 22 00:39:47 2014  reduce to 33196641 relations and 30434035 ideals in 7 passes
Sat Nov 22 00:39:47 2014  max relations containing the same ideal: 111
Sat Nov 22 00:40:10 2014  removing 3735213 relations and 2735213 ideals in 1000000 cliques
Sat Nov 22 00:40:12 2014  commencing in-memory singleton removal
Sat Nov 22 00:40:15 2014  begin with 29461428 relations and 30434035 unique ideals
Sat Nov 22 00:40:37 2014  reduce to 29174693 relations and 27404679 ideals in 7 passes
Sat Nov 22 00:40:37 2014  max relations containing the same ideal: 101
Sat Nov 22 00:40:57 2014  removing 3635881 relations and 2635881 ideals in 1000000 cliques
Sat Nov 22 00:40:59 2014  commencing in-memory singleton removal
Sat Nov 22 00:41:02 2014  begin with 25538812 relations and 27404679 unique ideals
Sat Nov 22 00:41:23 2014  reduce to 25230327 relations and 24451206 ideals in 8 passes
Sat Nov 22 00:41:23 2014  max relations containing the same ideal: 93
Sat Nov 22 00:41:40 2014  removing 1032129 relations and 818651 ideals in 213478 cliques
Sat Nov 22 00:41:42 2014  commencing in-memory singleton removal
Sat Nov 22 00:41:44 2014  begin with 24198198 relations and 24451206 unique ideals
Sat Nov 22 00:41:59 2014  reduce to 24173192 relations and 23607343 ideals in 6 passes
Sat Nov 22 00:41:59 2014  max relations containing the same ideal: 89
Sat Nov 22 00:42:21 2014  relations with 0 large ideals: 5955
Sat Nov 22 00:42:21 2014  relations with 1 large ideals: 6294
Sat Nov 22 00:42:21 2014  relations with 2 large ideals: 88330
Sat Nov 22 00:42:21 2014  relations with 3 large ideals: 604879
Sat Nov 22 00:42:21 2014  relations with 4 large ideals: 2218489
Sat Nov 22 00:42:21 2014  relations with 5 large ideals: 4852760
Sat Nov 22 00:42:21 2014  relations with 6 large ideals: 6564970
Sat Nov 22 00:42:21 2014  relations with 7+ large ideals: 9831515
Sat Nov 22 00:42:21 2014  commencing 2-way merge
Sat Nov 22 00:42:43 2014  reduce to 16044665 relation sets and 15478816 unique ideals
Sat Nov 22 00:42:43 2014  commencing full merge
Sat Nov 22 00:48:08 2014  memory use: 1833.9 MB
Sat Nov 22 00:48:12 2014  found 8660951 cycles, need 8583016
Sat Nov 22 00:48:13 2014  weight of 8583016 cycles is about 600879205 (70.01/cycle)
Sat Nov 22 00:48:13 2014  distribution of cycle lengths:
Sat Nov 22 00:48:13 2014  1 relations: 869613
Sat Nov 22 00:48:13 2014  2 relations: 1073253
Sat Nov 22 00:48:13 2014  3 relations: 1140278
Sat Nov 22 00:48:13 2014  4 relations: 1061822
Sat Nov 22 00:48:13 2014  5 relations: 973644
Sat Nov 22 00:48:13 2014  6 relations: 845459
Sat Nov 22 00:48:13 2014  7 relations: 712383
Sat Nov 22 00:48:13 2014  8 relations: 573069
Sat Nov 22 00:48:13 2014  9 relations: 439254
Sat Nov 22 00:48:13 2014  10+ relations: 894241
Sat Nov 22 00:48:13 2014  heaviest cycle: 17 relations
Sat Nov 22 00:48:18 2014  commencing cycle optimization
Sat Nov 22 00:48:33 2014  start with 44315564 relations
Sat Nov 22 00:50:07 2014  pruned 1131100 relations
Sat Nov 22 00:50:07 2014  memory use: 1462.2 MB
Sat Nov 22 00:50:07 2014  distribution of cycle lengths:
Sat Nov 22 00:50:07 2014  1 relations: 869613
Sat Nov 22 00:50:07 2014  2 relations: 1097226
Sat Nov 22 00:50:07 2014  3 relations: 1184722
Sat Nov 22 00:50:07 2014  4 relations: 1090517
Sat Nov 22 00:50:07 2014  5 relations: 1000564
Sat Nov 22 00:50:07 2014  6 relations: 858437
Sat Nov 22 00:50:07 2014  7 relations: 718144
Sat Nov 22 00:50:07 2014  8 relations: 566559
Sat Nov 22 00:50:07 2014  9 relations: 424599
Sat Nov 22 00:50:07 2014  10+ relations: 772635
Sat Nov 22 00:50:07 2014  heaviest cycle: 17 relations
Sat Nov 22 00:50:29 2014  RelProcTime: 4500
Sat Nov 22 00:50:29 2014  elapsed time 01:15:02
Sat Nov 22 00:59:48 2014  
Sat Nov 22 00:59:48 2014  
Sat Nov 22 00:59:48 2014  Msieve v. 1.53 (SVN 975)
Sat Nov 22 00:59:48 2014  random seeds: 0458e5f5 a9445f9d
Sat Nov 22 00:59:48 2014  MPI process 0 of 2
Sat Nov 22 00:59:48 2014  factoring 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029 (179 digits)
Sat Nov 22 00:59:50 2014  no P-1/P+1/ECM available, skipping
Sat Nov 22 00:59:50 2014  commencing number field sieve (179-digit input)
Sat Nov 22 00:59:50 2014  R0: -1000000000000000000000000000000000000000
Sat Nov 22 00:59:50 2014  R1: 1
Sat Nov 22 00:59:50 2014  A0: -10
Sat Nov 22 00:59:50 2014  A1: 0
Sat Nov 22 00:59:50 2014  A2: 0
Sat Nov 22 00:59:50 2014  A3: -6
Sat Nov 22 00:59:50 2014  A4: 0
Sat Nov 22 00:59:50 2014  A5: 0
Sat Nov 22 00:59:50 2014  A6: 1
Sat Nov 22 00:59:50 2014  skew 1.47, size 1.234e-11, alpha 2.240, combined = 7.455e-13 rroots = 2
Sat Nov 22 00:59:50 2014  
Sat Nov 22 00:59:50 2014  commencing linear algebra
Sat Nov 22 00:59:50 2014  initialized process (0,0) of 2 x 1 grid
Sat Nov 22 00:59:54 2014  read 8583016 cycles
Sat Nov 22 01:00:15 2014  cycles contain 23876035 unique relations
Sat Nov 22 01:05:39 2014  read 23876035 relations
Sat Nov 22 01:06:34 2014  using 20 quadratic characters above 1073740490
Sat Nov 22 01:08:56 2014  building initial matrix
Sat Nov 22 01:14:28 2014  memory use: 3126.0 MB
Sat Nov 22 01:14:43 2014  read 8583016 cycles
Sat Nov 22 01:14:45 2014  matrix is 8582839 x 8583016 (2542.3 MB) with weight 746243131 (86.94/col)
Sat Nov 22 01:14:45 2014  sparse part has weight 580605868 (67.65/col)
Sat Nov 22 01:16:41 2014  filtering completed in 2 passes
Sat Nov 22 01:16:44 2014  matrix is 8581421 x 8581598 (2542.2 MB) with weight 746208087 (86.95/col)
Sat Nov 22 01:16:44 2014  sparse part has weight 580597457 (67.66/col)
Sat Nov 22 01:17:35 2014  matrix starts at (0, 0)
Sat Nov 22 01:17:36 2014  matrix is 4290767 x 8581598 (1487.1 MB) with weight 469624590 (54.72/col)
Sat Nov 22 01:17:36 2014  sparse part has weight 304013960 (35.43/col)
Sat Nov 22 01:17:36 2014  saving the first 48 matrix rows for later
Sat Nov 22 01:17:38 2014  matrix includes 64 packed rows
Sat Nov 22 01:17:39 2014  matrix is 4290719 x 8581598 (1384.5 MB) with weight 312958637 (36.47/col)
Sat Nov 22 01:17:39 2014  sparse part has weight 277114483 (32.29/col)
Sat Nov 22 01:17:39 2014  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Sat Nov 22 01:18:03 2014  commencing Lanczos iteration (12 threads)
Sat Nov 22 01:18:03 2014  memory use: 1073.9 MB
Sat Nov 22 01:18:35 2014  linear algebra at 0.0%, ETA 48h49m
Sat Nov 22 01:18:46 2014  checkpointing every 180000 dimensions
Sun Nov 23 03:54:38 2014  lanczos halted after 135711 iterations (dim = 8581371)
Sun Nov 23 03:54:48 2014  recovered 38 nontrivial dependencies
Sun Nov 23 03:54:48 2014  BLanczosTime: 96898
Sun Nov 23 03:54:48 2014  elapsed time 26:55:00
Sun Nov 23 06:16:06 2014  
Sun Nov 23 06:16:06 2014  Msieve v. 1.53 (SVN 975)
Sun Nov 23 06:16:06 2014  random seeds: 0e90c85c ccd61bf4
Sun Nov 23 06:16:06 2014  factoring 32958079601374746455681125604334597590162020226842724297840653420497157587731456649988391089731157012107894534006198057080872602349180151066090625576379519127995072703030375909029 (179 digits)
Sun Nov 23 06:16:07 2014  no P-1/P+1/ECM available, skipping
Sun Nov 23 06:16:07 2014  commencing number field sieve (179-digit input)
Sun Nov 23 06:16:08 2014  R0: -1000000000000000000000000000000000000000
Sun Nov 23 06:16:08 2014  R1: 1
Sun Nov 23 06:16:08 2014  A0: -10
Sun Nov 23 06:16:08 2014  A1: 0
Sun Nov 23 06:16:08 2014  A2: 0
Sun Nov 23 06:16:08 2014  A3: -6
Sun Nov 23 06:16:08 2014  A4: 0
Sun Nov 23 06:16:08 2014  A5: 0
Sun Nov 23 06:16:08 2014  A6: 1
Sun Nov 23 06:16:08 2014  skew 1.47, size 1.234e-11, alpha 2.240, combined = 7.455e-13 rroots = 2
Sun Nov 23 06:16:08 2014  
Sun Nov 23 06:16:08 2014  commencing square root phase
Sun Nov 23 06:16:08 2014  handling dependencies 1 to 1
Sun Nov 23 06:16:08 2014  reading relations for dependency 1
Sun Nov 23 06:16:13 2014  read 4290059 cycles
Sun Nov 23 06:16:20 2014  cycles contain 11932094 unique relations
Sun Nov 23 06:19:13 2014  read 11932094 relations
Sun Nov 23 06:20:31 2014  multiplying 11932094 relations
Sun Nov 23 06:32:28 2014  multiply complete, coefficients have about 299.88 million bits
Sun Nov 23 06:32:31 2014  initial square root is modulo 240349
Sun Nov 23 06:45:13 2014  sqrtTime: 1745
Sun Nov 23 06:45:13 2014  prp58 factor: 1164986897093292966798815637820983134287878590251485642491
Sun Nov 23 06:45:13 2014  prp122 factor: 28290515269834352784047735521323580652490957235445050598845535832274898666491603349215692426380306111920953933603607338719
Sun Nov 23 06:45:13 2014  elapsed time 00:29:07

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e618001000Dmitry DomanovJanuary 10, 2012 09:06:57 UTC 2012 年 1 月 10 日 (火) 18 時 6 分 57 秒 (日本時間)
800Youcef LemsaferDecember 8, 2013 18:44:48 UTC 2013 年 12 月 9 日 (月) 3 時 44 分 48 秒 (日本時間)
4511e64070274Youcef LemsaferDecember 8, 2013 19:57:20 UTC 2013 年 12 月 9 日 (月) 4 時 57 分 20 秒 (日本時間)
3796Youcef LemsaferMarch 21, 2014 06:02:06 UTC 2014 年 3 月 21 日 (金) 15 時 2 分 6 秒 (日本時間)
5043e6480Youcef LemsaferMarch 21, 2014 14:54:42 UTC 2014 年 3 月 21 日 (金) 23 時 54 分 42 秒 (日本時間)
5511e72074 / 146511114Youcef LemsaferMarch 24, 2014 12:56:43 UTC 2014 年 3 月 24 日 (月) 21 時 56 分 43 秒 (日本時間)
960Youcef LemsaferMarch 26, 2014 15:11:39 UTC 2014 年 3 月 27 日 (木) 0 時 11 分 39 秒 (日本時間)
6026e71152 / 41111Youcef LemsaferMarch 26, 2014 19:26:51 UTC 2014 年 3 月 27 日 (木) 4 時 26 分 51 秒 (日本時間)

10235-6×10117-13

c202

name 名前Youcef Lemsafer
date 日付February 14, 2015 07:10:18 UTC 2015 年 2 月 14 日 (土) 16 時 10 分 18 秒 (日本時間)
composite number 合成数
1643330400780842131072588741269015967541374840824666241026127272507591935070218783207361447405230077964293845996082753290769590606493634528293712563564195099971051680452746610036738256200227811017114671<202>
prime factors 素因数
198110294593154234420135842459713100958546421404565418331239777<63>
8295027798306186289716665721886800753048725226772138146767678694695715573654690625001173845272231663913131005532902211611078753223640257423<139>
factorization results 素因数分解の結果
<Parameters were as follows:>
#
# 33133_117, C202, SNFS_diff=235
#
n: 1643330400780842131072588741269015967541374840824666241026127272507591935070218783207361447405230077964293845996082753290769590606493634528293712563564195099971051680452746610036738256200227811017114671
m: 1000000000000000000000000000000000000000
deg: 6
c6: 10
c3: -6
c0: -1
skew: 0.68
# Murphy_E = 7.748e-13
type: snfs
lss: 1
rlim: 58000000
alim: 58000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7


<Sieving from 20M to 128M with gnfs-lasieve4I14e using 2048 threads on 64x {Dual Intel Xeon E5-2680 v2 running Linux Ubuntu 64-bit}>
<took ~ 4 hours.>

<Post-processing on Intel Core i7-5820K @ 3.3GHz running Window 7 Pro 64-bit:>
Fri Feb 13 00:56:47 2015  
Fri Feb 13 00:56:47 2015  
Fri Feb 13 00:56:47 2015  Msieve v. 1.53 (SVN 975M)
Fri Feb 13 00:56:47 2015  random seeds: 28b21e24 38024518
Fri Feb 13 00:56:47 2015  factoring 1643330400780842131072588741269015967541374840824666241026127272507591935070218783207361447405230077964293845996082753290769590606493634528293712563564195099971051680452746610036738256200227811017114671 (202 digits)
Fri Feb 13 00:56:47 2015  searching for 15-digit factors
Fri Feb 13 00:56:49 2015  commencing number field sieve (202-digit input)
Fri Feb 13 00:56:49 2015  R0: -1000000000000000000000000000000000000000
Fri Feb 13 00:56:49 2015  R1: 1
Fri Feb 13 00:56:49 2015  A0: -1
Fri Feb 13 00:56:49 2015  A1: 0
Fri Feb 13 00:56:49 2015  A2: 0
Fri Feb 13 00:56:49 2015  A3: -6
Fri Feb 13 00:56:49 2015  A4: 0
Fri Feb 13 00:56:49 2015  A5: 0
Fri Feb 13 00:56:49 2015  A6: 10
Fri Feb 13 00:56:49 2015  skew 0.68, size 1.106e-011, alpha 2.240, combined = 6.882e-013 rroots = 2
Fri Feb 13 00:56:49 2015  
Fri Feb 13 00:56:49 2015  commencing relation filtering
Fri Feb 13 00:56:49 2015  setting target matrix density to 120.0
Fri Feb 13 00:56:49 2015  estimated available RAM is 65426.9 MB
Fri Feb 13 00:56:49 2015  commencing duplicate removal, pass 1
Fri Feb 13 01:12:56 2015  skipped 28 relations with b > 2^32
Fri Feb 13 01:12:56 2015  found 24273068 hash collisions in 117200121 relations
Fri Feb 13 01:13:15 2015  added 406196 free relations
Fri Feb 13 01:13:15 2015  commencing duplicate removal, pass 2
Fri Feb 13 01:14:10 2015  found 24329914 duplicates and 93276403 unique relations
Fri Feb 13 01:14:10 2015  memory use: 660.8 MB
Fri Feb 13 01:14:10 2015  reading ideals above 720000
Fri Feb 13 01:14:10 2015  commencing singleton removal, initial pass
Fri Feb 13 01:26:06 2015  memory use: 2756.0 MB
Fri Feb 13 01:26:06 2015  reading all ideals from disk
Fri Feb 13 01:26:08 2015  memory use: 3566.1 MB
Fri Feb 13 01:26:18 2015  keeping 89551177 ideals with weight <= 200, target excess is 501104
Fri Feb 13 01:26:29 2015  commencing in-memory singleton removal
Fri Feb 13 01:26:37 2015  begin with 93276403 relations and 89551177 unique ideals
Fri Feb 13 01:27:59 2015  reduce to 56494873 relations and 48662649 ideals in 15 passes
Fri Feb 13 01:27:59 2015  max relations containing the same ideal: 149
Fri Feb 13 01:28:26 2015  removing 5865209 relations and 4865209 ideals in 1000000 cliques
Fri Feb 13 01:28:28 2015  commencing in-memory singleton removal
Fri Feb 13 01:28:32 2015  begin with 50629664 relations and 48662649 unique ideals
Fri Feb 13 01:29:11 2015  reduce to 50182960 relations and 43340688 ideals in 9 passes
Fri Feb 13 01:29:11 2015  max relations containing the same ideal: 139
Fri Feb 13 01:29:34 2015  removing 4474205 relations and 3474205 ideals in 1000000 cliques
Fri Feb 13 01:29:35 2015  commencing in-memory singleton removal
Fri Feb 13 01:29:39 2015  begin with 45708755 relations and 43340688 unique ideals
Fri Feb 13 01:30:10 2015  reduce to 45417293 relations and 39569313 ideals in 8 passes
Fri Feb 13 01:30:10 2015  max relations containing the same ideal: 132
Fri Feb 13 01:30:31 2015  removing 4035352 relations and 3035352 ideals in 1000000 cliques
Fri Feb 13 01:30:33 2015  commencing in-memory singleton removal
Fri Feb 13 01:30:36 2015  begin with 41381941 relations and 39569313 unique ideals
Fri Feb 13 01:31:04 2015  reduce to 41125221 relations and 36272088 ideals in 8 passes
Fri Feb 13 01:31:04 2015  max relations containing the same ideal: 120
Fri Feb 13 01:31:24 2015  removing 3796891 relations and 2796891 ideals in 1000000 cliques
Fri Feb 13 01:31:25 2015  commencing in-memory singleton removal
Fri Feb 13 01:31:28 2015  begin with 37328330 relations and 36272088 unique ideals
Fri Feb 13 01:31:53 2015  reduce to 37084032 relations and 33225684 ideals in 8 passes
Fri Feb 13 01:31:53 2015  max relations containing the same ideal: 113
Fri Feb 13 01:32:10 2015  removing 3649955 relations and 2649955 ideals in 1000000 cliques
Fri Feb 13 01:32:11 2015  commencing in-memory singleton removal
Fri Feb 13 01:32:14 2015  begin with 33434077 relations and 33225684 unique ideals
Fri Feb 13 01:32:33 2015  reduce to 33188397 relations and 30324386 ideals in 7 passes
Fri Feb 13 01:32:33 2015  max relations containing the same ideal: 104
Fri Feb 13 01:32:49 2015  removing 3545420 relations and 2545420 ideals in 1000000 cliques
Fri Feb 13 01:32:50 2015  commencing in-memory singleton removal
Fri Feb 13 01:32:52 2015  begin with 29642977 relations and 30324386 unique ideals
Fri Feb 13 01:33:11 2015  reduce to 29389191 relations and 27518652 ideals in 8 passes
Fri Feb 13 01:33:11 2015  max relations containing the same ideal: 95
Fri Feb 13 01:33:25 2015  removing 3479905 relations and 2479905 ideals in 1000000 cliques
Fri Feb 13 01:33:26 2015  commencing in-memory singleton removal
Fri Feb 13 01:33:28 2015  begin with 25909286 relations and 27518652 unique ideals
Fri Feb 13 01:33:44 2015  reduce to 25632643 relations and 24753999 ideals in 8 passes
Fri Feb 13 01:33:44 2015  max relations containing the same ideal: 88
Fri Feb 13 01:33:55 2015  removing 1299351 relations and 1001988 ideals in 297363 cliques
Fri Feb 13 01:33:56 2015  commencing in-memory singleton removal
Fri Feb 13 01:33:58 2015  begin with 24333292 relations and 24753999 unique ideals
Fri Feb 13 01:34:09 2015  reduce to 24292963 relations and 23711271 ideals in 6 passes
Fri Feb 13 01:34:09 2015  max relations containing the same ideal: 85
Fri Feb 13 01:34:23 2015  relations with 0 large ideals: 6267
Fri Feb 13 01:34:23 2015  relations with 1 large ideals: 6553
Fri Feb 13 01:34:23 2015  relations with 2 large ideals: 94327
Fri Feb 13 01:34:23 2015  relations with 3 large ideals: 631364
Fri Feb 13 01:34:23 2015  relations with 4 large ideals: 2289391
Fri Feb 13 01:34:23 2015  relations with 5 large ideals: 4927410
Fri Feb 13 01:34:23 2015  relations with 6 large ideals: 6595440
Fri Feb 13 01:34:23 2015  relations with 7+ large ideals: 9742211
Fri Feb 13 01:34:23 2015  commencing 2-way merge
Fri Feb 13 01:34:38 2015  reduce to 16351117 relation sets and 15769425 unique ideals
Fri Feb 13 01:34:38 2015  commencing full merge
Fri Feb 13 01:40:14 2015  memory use: 2009.6 MB
Fri Feb 13 01:40:15 2015  found 7340593 cycles, need 7293625
Fri Feb 13 01:40:16 2015  weight of 7293625 cycles is about 875475622 (120.03/cycle)
Fri Feb 13 01:40:16 2015  distribution of cycle lengths:
Fri Feb 13 01:40:16 2015  1 relations: 216315
Fri Feb 13 01:40:16 2015  2 relations: 417354
Fri Feb 13 01:40:16 2015  3 relations: 526255
Fri Feb 13 01:40:16 2015  4 relations: 557706
Fri Feb 13 01:40:16 2015  5 relations: 574912
Fri Feb 13 01:40:16 2015  6 relations: 567623
Fri Feb 13 01:40:16 2015  7 relations: 553233
Fri Feb 13 01:40:16 2015  8 relations: 524068
Fri Feb 13 01:40:16 2015  9 relations: 490866
Fri Feb 13 01:40:16 2015  10+ relations: 2865293
Fri Feb 13 01:40:16 2015  heaviest cycle: 28 relations
Fri Feb 13 01:40:17 2015  commencing cycle optimization
Fri Feb 13 01:40:29 2015  start with 63952663 relations
Fri Feb 13 01:43:01 2015  pruned 2999683 relations
Fri Feb 13 01:43:01 2015  memory use: 1672.9 MB
Fri Feb 13 01:43:01 2015  distribution of cycle lengths:
Fri Feb 13 01:43:01 2015  1 relations: 216315
Fri Feb 13 01:43:01 2015  2 relations: 429718
Fri Feb 13 01:43:01 2015  3 relations: 551612
Fri Feb 13 01:43:01 2015  4 relations: 583968
Fri Feb 13 01:43:01 2015  5 relations: 606553
Fri Feb 13 01:43:01 2015  6 relations: 595479
Fri Feb 13 01:43:01 2015  7 relations: 582710
Fri Feb 13 01:43:01 2015  8 relations: 549364
Fri Feb 13 01:43:01 2015  9 relations: 512376
Fri Feb 13 01:43:01 2015  10+ relations: 2665530
Fri Feb 13 01:43:01 2015  heaviest cycle: 28 relations
Fri Feb 13 01:43:12 2015  RelProcTime: 2783
Fri Feb 13 01:43:12 2015  elapsed time 00:46:25
Fri Feb 13 01:44:11 2015  
<...snipped...>
Fri Feb 13 01:44:13 2015  
Fri Feb 13 01:44:13 2015  commencing linear algebra
Fri Feb 13 01:44:15 2015  read 7293625 cycles
Fri Feb 13 01:44:30 2015  cycles contain 24008360 unique relations
Fri Feb 13 01:46:49 2015  read 24008360 relations
Fri Feb 13 01:47:31 2015  using 20 quadratic characters above 1073739750
Fri Feb 13 01:49:13 2015  building initial matrix
Fri Feb 13 01:53:47 2015  memory use: 3163.4 MB
Fri Feb 13 01:53:52 2015  read 7293625 cycles
Fri Feb 13 01:53:53 2015  matrix is 7293429 x 7293625 (3379.2 MB) with weight 969365946 (132.91/col)
Fri Feb 13 01:53:53 2015  sparse part has weight 812892079 (111.45/col)
Fri Feb 13 01:55:24 2015  filtering completed in 2 passes
Fri Feb 13 01:55:25 2015  matrix is 7293298 x 7293494 (3379.2 MB) with weight 969361663 (132.91/col)
Fri Feb 13 01:55:25 2015  sparse part has weight 812890557 (111.45/col)
Fri Feb 13 01:55:42 2015  matrix starts at (0, 0)
Fri Feb 13 01:55:43 2015  matrix is 7293298 x 7293494 (3379.2 MB) with weight 969361663 (132.91/col)
Fri Feb 13 01:55:43 2015  sparse part has weight 812890557 (111.45/col)
Fri Feb 13 01:55:43 2015  saving the first 48 matrix rows for later
Fri Feb 13 01:55:45 2015  matrix includes 64 packed rows
Fri Feb 13 01:55:46 2015  matrix is 7293250 x 7293494 (3236.1 MB) with weight 824553860 (113.05/col)
Fri Feb 13 01:55:46 2015  sparse part has weight 775385030 (106.31/col)
Fri Feb 13 01:55:46 2015  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Fri Feb 13 01:56:21 2015  commencing Lanczos iteration (8 threads)
Fri Feb 13 01:56:21 2015  memory use: 2741.6 MB
Fri Feb 13 01:56:43 2015  linear algebra at 0.0%, ETA 28h 0m
Fri Feb 13 01:56:50 2015  checkpointing every 270000 dimensions
Sat Feb 14 05:46:35 2015  lanczos halted after 115334 iterations (dim = 7293247)
Sat Feb 14 05:46:43 2015  recovered 36 nontrivial dependencies
Sat Feb 14 05:46:47 2015  BLanczosTime: 100954
Sat Feb 14 05:46:47 2015  
Sat Feb 14 05:46:47 2015  commencing square root phase
Sat Feb 14 05:46:47 2015  reading relations for dependency 1
Sat Feb 14 05:46:48 2015  read 3646758 cycles
Sat Feb 14 05:46:55 2015  cycles contain 12004698 unique relations
Sat Feb 14 05:48:12 2015  read 12004698 relations
Sat Feb 14 05:49:03 2015  multiplying 12004698 relations
Sat Feb 14 05:58:37 2015  multiply complete, coefficients have about 335.50 million bits
Sat Feb 14 05:58:38 2015  initial square root is modulo 1047247
Sat Feb 14 06:08:22 2015  GCD is N, no factor found
Sat Feb 14 06:08:22 2015  reading relations for dependency 2
Sat Feb 14 06:08:23 2015  read 3646873 cycles
Sat Feb 14 06:08:30 2015  cycles contain 12004032 unique relations
Sat Feb 14 06:09:47 2015  read 12004032 relations
Sat Feb 14 06:10:38 2015  multiplying 12004032 relations
Sat Feb 14 06:20:17 2015  multiply complete, coefficients have about 335.47 million bits
Sat Feb 14 06:20:18 2015  initial square root is modulo 1046029
Sat Feb 14 06:30:01 2015  GCD is N, no factor found
Sat Feb 14 06:30:01 2015  reading relations for dependency 3
Sat Feb 14 06:30:02 2015  read 3647283 cycles
Sat Feb 14 06:30:09 2015  cycles contain 12003818 unique relations
Sat Feb 14 06:31:27 2015  read 12003818 relations
Sat Feb 14 06:32:18 2015  multiplying 12003818 relations
Sat Feb 14 06:41:46 2015  multiply complete, coefficients have about 335.47 million bits
Sat Feb 14 06:41:48 2015  initial square root is modulo 1045829
Sat Feb 14 06:51:28 2015  GCD is 1, no factor found
Sat Feb 14 06:51:28 2015  reading relations for dependency 4
Sat Feb 14 06:51:30 2015  read 3647186 cycles
Sat Feb 14 06:51:37 2015  cycles contain 12002870 unique relations
Sat Feb 14 06:52:53 2015  read 12002870 relations
Sat Feb 14 06:53:45 2015  multiplying 12002870 relations
Sat Feb 14 07:03:07 2015  multiply complete, coefficients have about 335.44 million bits
Sat Feb 14 07:03:08 2015  initial square root is modulo 1044583
Sat Feb 14 07:12:52 2015  GCD is N, no factor found
Sat Feb 14 07:12:52 2015  reading relations for dependency 5
Sat Feb 14 07:12:54 2015  read 3647169 cycles
Sat Feb 14 07:13:01 2015  cycles contain 12006086 unique relations
Sat Feb 14 07:14:20 2015  read 12006086 relations
Sat Feb 14 07:15:12 2015  multiplying 12006086 relations
Sat Feb 14 07:25:07 2015  multiply complete, coefficients have about 335.53 million bits
Sat Feb 14 07:25:08 2015  initial square root is modulo 1048549
Sat Feb 14 07:35:15 2015  sqrtTime: 6508
Sat Feb 14 07:35:15 2015  prp63 factor: 198110294593154234420135842459713100958546421404565418331239777
Sat Feb 14 07:35:15 2015  prp139 factor: 8295027798306186289716665721886800753048725226772138146767678694695715573654690625001173845272231663913131005532902211611078753223640257423
Sat Feb 14 07:35:15 2015  elapsed time 29:51:04
software ソフトウェア
GGNFS (SVN 440), msieve 1.53 (SVN 975)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e623441000Dmitry DomanovJanuary 10, 2012 09:07:07 UTC 2012 年 1 月 10 日 (火) 18 時 7 分 7 秒 (日本時間)
1024Youcef LemsaferOctober 30, 2013 18:55:24 UTC 2013 年 10 月 31 日 (木) 3 時 55 分 24 秒 (日本時間)
320Youcef LemsaferDecember 16, 2013 21:23:50 UTC 2013 年 12 月 17 日 (火) 6 時 23 分 50 秒 (日本時間)
4511e6309321KTakahashiMarch 22, 2014 09:11:15 UTC 2014 年 3 月 22 日 (土) 18 時 11 分 15 秒 (日本時間)
3072Youcef LemsaferMay 30, 2014 06:29:04 UTC 2014 年 5 月 30 日 (金) 15 時 29 分 4 秒 (日本時間)
5043e6640Youcef LemsaferMay 31, 2014 21:20:30 UTC 2014 年 6 月 1 日 (日) 6 時 20 分 30 秒 (日本時間)
5511e72736 / 1286564Youcef LemsaferMay 31, 2014 21:20:30 UTC 2014 年 6 月 1 日 (日) 6 時 20 分 30 秒 (日本時間)
720Youcef LemsaferSeptember 8, 2014 10:19:59 UTC 2014 年 9 月 8 日 (月) 19 時 19 分 59 秒 (日本時間)
1440Youcef LemsaferOctober 10, 2014 21:48:00 UTC 2014 年 10 月 11 日 (土) 6 時 48 分 0 秒 (日本時間)
512Youcef LemsaferNovember 13, 2014 07:54:17 UTC 2014 年 11 月 13 日 (木) 16 時 54 分 17 秒 (日本時間)
6026e71920 / 408561280Youcef LemsaferDecember 10, 2014 06:31:03 UTC 2014 年 12 月 10 日 (水) 15 時 31 分 3 秒 (日本時間)
640Youcef LemsaferFebruary 11, 2015 15:34:52 UTC 2015 年 2 月 12 日 (木) 0 時 34 分 52 秒 (日本時間)

10237-6×10118-13

c204

name 名前Youcef Lemsafer
date 日付June 1, 2014 20:16:32 UTC 2014 年 6 月 2 日 (月) 5 時 16 分 32 秒 (日本時間)
composite number 合成数
204781506413018762425528155416840478303312564660249976278131974805746092401063963375207209843138511629380773434056748649220757472601048503043207091867517941280693636276940955135496464408992063538512064301<204>
prime factors 素因数
247546996351688779424493287073481004602217<42>
827242945505534232510598538212490480413210109633626815391416260091297956409591629944089308798501451517923224538558094561480770899737683707121526328102850994780453<162>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^237-6*10^118-1)/(3*544099*4052089*738297008150818643003) (204 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1921114954
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+007        3e+008  3.7e+009        4.4e+010
Step 1 took 65609ms
Using 25 small primes for NTT
Estimated memory usage: 136M
Initializing tables of differences for F took 47ms
Computing roots of F took 1968ms
Building F from its roots took 2172ms
Computing 1/F took 1062ms
Initializing table of differences for G took 63ms
Computing roots of G took 1594ms
Building G from its roots took 2078ms
Computing roots of G took 1688ms
Building G from its roots took 2094ms
Computing G * H took 609ms
Reducing  G * H mod F took 562ms
Computing roots of G took 1610ms
Building G from its roots took 2078ms
Computing G * H took 516ms
Reducing  G * H mod F took 578ms
Computing polyeval(F,G) took 3968ms
Computing product of all F(g_i) took 16ms
Step 2 took 22875ms
********** Factor found in step 2: 247546996351688779424493287073481004602217
Found probable prime factor of 42 digits: 247546996351688779424493287073481004602217
Probable prime cofactor ((10^237-6*10^118-1)/(3*544099*4052089*738297008150818643003))/247546996351688779424493287073481004602217 has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovJanuary 10, 2012 09:07:15 UTC 2012 年 1 月 10 日 (火) 18 時 7 分 15 秒 (日本時間)
1440Youcef LemsaferDecember 17, 2013 04:57:01 UTC 2013 年 12 月 17 日 (火) 13 時 57 分 1 秒 (日本時間)
4511e61804 / 3936Youcef LemsaferJune 1, 2014 20:11:26 UTC 2014 年 6 月 2 日 (月) 5 時 11 分 26 秒 (日本時間)

10243-6×10121-13

c239

name 名前Dmitry Domanov
date 日付January 7, 2012 07:06:12 UTC 2012 年 1 月 7 日 (土) 16 時 6 分 12 秒 (日本時間)
composite number 合成数
16205616866806034971721198567423468974346508499846046639765342667768648613609477044743708169251462556922229244656197838169737631062926410293807833795193414037305330027387492504902199102208825578945662566645599364739818821203429108529016157<239>
prime factors 素因数
1534658998761636001735168144983436181<37>
composite cofactor 合成数の残り
10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697<203>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2806398581
Step 1 took 34915ms
Step 2 took 12031ms
********** Factor found in step 2: 1534658998761636001735168144983436181
Found probable prime factor of 37 digits: 1534658998761636001735168144983436181

c203

name 名前Youcef Lemsafer
date 日付July 22, 2015 21:55:11 UTC 2015 年 7 月 23 日 (木) 6 時 55 分 11 秒 (日本時間)
composite number 合成数
10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697<203>
prime factors 素因数
5450722800672998903327957617679872270374306756516431625668536595913317867258865023<82>
1937312053207115058487645560358013542198686716867697280821953075384619352380307108264262471018107834244535370953029383639<121>
factorization results 素因数分解の結果
<Parameters were as follows:>
#
# 33133_121, C203, SNFS_diff=243
#
n: 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697
m: 10000000000000000000000000000000000000000
deg: 6
c6: 1000
c3: -60
c0: -1
skew: 0.32
# Murphy_E = 4.298e-13
type: snfs
lss: 1
rlim: 83000000
alim: 83000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6

<Sieved using gnfs-lasieve4I14e -r from 20e6 to 164e6>
< - 12531 thread.hour>
< - 14 wall clock days mostly using 24 threads on Dual Xeon E5-2620 and
<   12 threads on Intel Core i7-5820K.>

<Post-processing on Dual Xeon E5-2620:>

Mon Jul 20 21:33:02 2015  
Mon Jul 20 21:33:02 2015  
Mon Jul 20 21:33:02 2015  Msieve v. 1.53 (SVN 983M)
Mon Jul 20 21:33:02 2015  random seeds: 946e6a60 b18063e9
Mon Jul 20 21:33:02 2015  factoring 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 (203 digits)
Mon Jul 20 21:33:03 2015  no P-1/P+1/ECM available, skipping
Mon Jul 20 21:33:03 2015  commencing number field sieve (203-digit input)
Mon Jul 20 21:33:03 2015  R0: -10000000000000000000000000000000000000000
Mon Jul 20 21:33:03 2015  R1: 1
Mon Jul 20 21:33:03 2015  A0: -1
Mon Jul 20 21:33:03 2015  A1: 0
Mon Jul 20 21:33:03 2015  A2: 0
Mon Jul 20 21:33:03 2015  A3: -60
Mon Jul 20 21:33:03 2015  A4: 0
Mon Jul 20 21:33:03 2015  A5: 0
Mon Jul 20 21:33:03 2015  A6: 1000
Mon Jul 20 21:33:03 2015  skew 0.32, size 4.926e-012, alpha 0.082, combined = 3.813e-013 rroots = 2
Mon Jul 20 21:33:03 2015  
Mon Jul 20 21:33:03 2015  commencing relation filtering
Mon Jul 20 21:33:03 2015  setting target matrix density to 132.0
Mon Jul 20 21:33:03 2015  estimated available RAM is 32739.1 MB
Mon Jul 20 21:33:03 2015  commencing duplicate removal, pass 1
Mon Jul 20 22:43:38 2015  skipped 342 relations with b > 2^32
Mon Jul 20 22:43:38 2015  found 46464594 hash collisions in 228738344 relations
Mon Jul 20 22:44:19 2015  added 1218646 free relations
Mon Jul 20 22:44:19 2015  commencing duplicate removal, pass 2
Mon Jul 20 22:50:58 2015  found 46344015 duplicates and 183612975 unique relations
Mon Jul 20 22:50:58 2015  memory use: 1321.5 MB
Mon Jul 20 22:50:58 2015  reading ideals above 163905536
Mon Jul 20 22:50:58 2015  commencing singleton removal, initial pass
Mon Jul 20 23:34:18 2015  memory use: 3012.0 MB
Mon Jul 20 23:34:18 2015  reading all ideals from disk
Mon Jul 20 23:34:20 2015  memory use: 2987.1 MB
Mon Jul 20 23:34:31 2015  commencing in-memory singleton removal
Mon Jul 20 23:34:40 2015  begin with 183612975 relations and 152845359 unique ideals
Mon Jul 20 23:36:28 2015  reduce to 111607066 relations and 72659281 ideals in 14 passes
Mon Jul 20 23:36:28 2015  max relations containing the same ideal: 31
Mon Jul 20 23:36:40 2015  reading ideals above 720000
Mon Jul 20 23:36:40 2015  commencing singleton removal, initial pass
Tue Jul 21 00:10:13 2015  memory use: 2756.0 MB
Tue Jul 21 00:10:13 2015  reading all ideals from disk
Tue Jul 21 00:10:17 2015  memory use: 4333.4 MB
Tue Jul 21 00:10:36 2015  keeping 90433459 ideals with weight <= 200, target excess is 583916
Tue Jul 21 00:10:56 2015  commencing in-memory singleton removal
Tue Jul 21 00:11:10 2015  begin with 111607066 relations and 90433459 unique ideals
Tue Jul 21 00:13:27 2015  reduce to 111577746 relations and 90404132 ideals in 10 passes
Tue Jul 21 00:13:27 2015  max relations containing the same ideal: 200
Tue Jul 21 00:14:40 2015  removing 11106094 relations and 9106094 ideals in 2000000 cliques
Tue Jul 21 00:14:44 2015  commencing in-memory singleton removal
Tue Jul 21 00:14:57 2015  begin with 100471652 relations and 90404132 unique ideals
Tue Jul 21 00:16:59 2015  reduce to 99671565 relations and 80480036 ideals in 9 passes
Tue Jul 21 00:16:59 2015  max relations containing the same ideal: 195
Tue Jul 21 00:18:10 2015  removing 8400527 relations and 6400527 ideals in 2000000 cliques
Tue Jul 21 00:18:13 2015  commencing in-memory singleton removal
Tue Jul 21 00:18:25 2015  begin with 91271038 relations and 80480036 unique ideals
Tue Jul 21 00:20:00 2015  reduce to 90740122 relations and 73538109 ideals in 8 passes
Tue Jul 21 00:20:00 2015  max relations containing the same ideal: 185
Tue Jul 21 00:21:04 2015  removing 7598593 relations and 5598593 ideals in 2000000 cliques
Tue Jul 21 00:21:08 2015  commencing in-memory singleton removal
Tue Jul 21 00:21:18 2015  begin with 83141529 relations and 73538109 unique ideals
Tue Jul 21 00:22:37 2015  reduce to 82670122 relations and 67458338 ideals in 8 passes
Tue Jul 21 00:22:37 2015  max relations containing the same ideal: 174
Tue Jul 21 00:23:32 2015  removing 7180048 relations and 5180048 ideals in 2000000 cliques
Tue Jul 21 00:23:35 2015  commencing in-memory singleton removal
Tue Jul 21 00:23:44 2015  begin with 75490074 relations and 67458338 unique ideals
Tue Jul 21 00:24:55 2015  reduce to 75042107 relations and 61820534 ideals in 8 passes
Tue Jul 21 00:24:55 2015  max relations containing the same ideal: 164
Tue Jul 21 00:25:45 2015  removing 6917190 relations and 4917190 ideals in 2000000 cliques
Tue Jul 21 00:25:48 2015  commencing in-memory singleton removal
Tue Jul 21 00:25:56 2015  begin with 68124917 relations and 61820534 unique ideals
Tue Jul 21 00:27:01 2015  reduce to 67685743 relations and 56453939 ideals in 7 passes
Tue Jul 21 00:27:01 2015  max relations containing the same ideal: 155
Tue Jul 21 00:27:51 2015  removing 6728166 relations and 4728166 ideals in 2000000 cliques
Tue Jul 21 00:27:54 2015  commencing in-memory singleton removal
Tue Jul 21 00:28:02 2015  begin with 60957577 relations and 56453939 unique ideals
Tue Jul 21 00:29:03 2015  reduce to 60513440 relations and 51270150 ideals in 8 passes
Tue Jul 21 00:29:03 2015  max relations containing the same ideal: 143
Tue Jul 21 00:29:47 2015  removing 6588551 relations and 4588551 ideals in 2000000 cliques
Tue Jul 21 00:29:50 2015  commencing in-memory singleton removal
Tue Jul 21 00:29:56 2015  begin with 53924889 relations and 51270150 unique ideals
Tue Jul 21 00:30:38 2015  reduce to 53463068 relations and 46206660 ideals in 7 passes
Tue Jul 21 00:30:38 2015  max relations containing the same ideal: 133
Tue Jul 21 00:31:16 2015  removing 6477738 relations and 4477738 ideals in 2000000 cliques
Tue Jul 21 00:31:18 2015  commencing in-memory singleton removal
Tue Jul 21 00:31:24 2015  begin with 46985330 relations and 46206660 unique ideals
Tue Jul 21 00:31:59 2015  reduce to 46493131 relations and 41221081 ideals in 7 passes
Tue Jul 21 00:31:59 2015  max relations containing the same ideal: 125
Tue Jul 21 00:32:34 2015  removing 6389200 relations and 4389200 ideals in 2000000 cliques
Tue Jul 21 00:32:36 2015  commencing in-memory singleton removal
Tue Jul 21 00:32:40 2015  begin with 40103931 relations and 41221081 unique ideals
Tue Jul 21 00:33:14 2015  reduce to 39559826 relations and 36268066 ideals in 7 passes
Tue Jul 21 00:33:14 2015  max relations containing the same ideal: 113
Tue Jul 21 00:33:43 2015  removing 6332567 relations and 4332567 ideals in 2000000 cliques
Tue Jul 21 00:33:45 2015  commencing in-memory singleton removal
Tue Jul 21 00:33:49 2015  begin with 33227259 relations and 36268066 unique ideals
Tue Jul 21 00:34:21 2015  reduce to 32589406 relations and 31270150 ideals in 8 passes
Tue Jul 21 00:34:21 2015  max relations containing the same ideal: 98
Tue Jul 21 00:34:44 2015  removing 2539873 relations and 1897960 ideals in 641913 cliques
Tue Jul 21 00:34:45 2015  commencing in-memory singleton removal
Tue Jul 21 00:34:49 2015  begin with 30049533 relations and 31270150 unique ideals
Tue Jul 21 00:35:07 2015  reduce to 29918960 relations and 29239488 ideals in 6 passes
Tue Jul 21 00:35:07 2015  max relations containing the same ideal: 92
Tue Jul 21 00:35:33 2015  relations with 0 large ideals: 22095
Tue Jul 21 00:35:33 2015  relations with 1 large ideals: 8874
Tue Jul 21 00:35:33 2015  relations with 2 large ideals: 112832
Tue Jul 21 00:35:33 2015  relations with 3 large ideals: 764857
Tue Jul 21 00:35:33 2015  relations with 4 large ideals: 2776762
Tue Jul 21 00:35:33 2015  relations with 5 large ideals: 5983921
Tue Jul 21 00:35:33 2015  relations with 6 large ideals: 8007907
Tue Jul 21 00:35:33 2015  relations with 7+ large ideals: 12241712
Tue Jul 21 00:35:33 2015  commencing 2-way merge
Tue Jul 21 00:36:01 2015  reduce to 19886807 relation sets and 19207335 unique ideals
Tue Jul 21 00:36:01 2015  commencing full merge
Tue Jul 21 00:58:21 2015  memory use: 890.1 MB
Tue Jul 21 00:58:26 2015  found 42363 cycles, need 4240616
Tue Jul 21 00:58:26 2015  too few cycles, matrix probably cannot build
Tue Jul 21 00:58:31 2015  
Tue Jul 21 00:58:31 2015  
Tue Jul 21 00:58:31 2015  Msieve v. 1.53 (SVN 983M)
Tue Jul 21 00:58:31 2015  random seeds: 2c2c6788 98f282da
Tue Jul 21 00:58:31 2015  factoring 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 (203 digits)
Tue Jul 21 00:58:32 2015  no P-1/P+1/ECM available, skipping
Tue Jul 21 00:58:32 2015  commencing number field sieve (203-digit input)
Tue Jul 21 00:58:32 2015  R0: -10000000000000000000000000000000000000000
Tue Jul 21 00:58:32 2015  R1: 1
Tue Jul 21 00:58:32 2015  A0: -1
Tue Jul 21 00:58:32 2015  A1: 0
Tue Jul 21 00:58:32 2015  A2: 0
Tue Jul 21 00:58:32 2015  A3: -60
Tue Jul 21 00:58:32 2015  A4: 0
Tue Jul 21 00:58:32 2015  A5: 0
Tue Jul 21 00:58:32 2015  A6: 1000
Tue Jul 21 00:58:32 2015  skew 0.32, size 4.926e-012, alpha 0.082, combined = 3.813e-013 rroots = 2
Tue Jul 21 00:58:32 2015  
Tue Jul 21 00:58:32 2015  commencing relation filtering
Tue Jul 21 00:58:32 2015  setting target matrix density to 128.0
Tue Jul 21 00:58:32 2015  estimated available RAM is 32739.1 MB
Tue Jul 21 00:58:32 2015  commencing duplicate removal, pass 1
Tue Jul 21 02:09:29 2015  skipped 342 relations with b > 2^32
Tue Jul 21 02:09:29 2015  found 46541616 hash collisions in 229956990 relations
Tue Jul 21 02:09:59 2015  commencing duplicate removal, pass 2
Tue Jul 21 02:16:24 2015  found 46344015 duplicates and 183612975 unique relations
Tue Jul 21 02:16:24 2015  memory use: 1321.5 MB
Tue Jul 21 02:16:24 2015  reading ideals above 163905536
Tue Jul 21 02:16:24 2015  commencing singleton removal, initial pass
Tue Jul 21 02:59:03 2015  memory use: 3012.0 MB
Tue Jul 21 02:59:03 2015  reading all ideals from disk
Tue Jul 21 02:59:05 2015  memory use: 2987.1 MB
Tue Jul 21 02:59:14 2015  commencing in-memory singleton removal
Tue Jul 21 02:59:22 2015  begin with 183612975 relations and 152845359 unique ideals
Tue Jul 21 03:00:52 2015  reduce to 111607066 relations and 72659281 ideals in 14 passes
Tue Jul 21 03:00:52 2015  max relations containing the same ideal: 31
Tue Jul 21 03:01:03 2015  reading ideals above 720000
Tue Jul 21 03:01:04 2015  commencing singleton removal, initial pass
Tue Jul 21 03:33:17 2015  memory use: 2756.0 MB
Tue Jul 21 03:33:17 2015  reading all ideals from disk
Tue Jul 21 03:33:20 2015  memory use: 4333.4 MB
Tue Jul 21 03:33:40 2015  keeping 90433459 ideals with weight <= 200, target excess is 583916
Tue Jul 21 03:34:00 2015  commencing in-memory singleton removal
Tue Jul 21 03:34:16 2015  begin with 111607066 relations and 90433459 unique ideals
Tue Jul 21 03:36:51 2015  reduce to 111577746 relations and 90404132 ideals in 10 passes
Tue Jul 21 03:36:51 2015  max relations containing the same ideal: 200
Tue Jul 21 03:38:14 2015  removing 11106094 relations and 9106094 ideals in 2000000 cliques
Tue Jul 21 03:38:19 2015  commencing in-memory singleton removal
Tue Jul 21 03:38:33 2015  begin with 100471652 relations and 90404132 unique ideals
Tue Jul 21 03:40:40 2015  reduce to 99671565 relations and 80480036 ideals in 9 passes
Tue Jul 21 03:40:40 2015  max relations containing the same ideal: 195
Tue Jul 21 03:41:55 2015  removing 8400527 relations and 6400527 ideals in 2000000 cliques
Tue Jul 21 03:41:58 2015  commencing in-memory singleton removal
Tue Jul 21 03:42:11 2015  begin with 91271038 relations and 80480036 unique ideals
Tue Jul 21 03:43:53 2015  reduce to 90740122 relations and 73538109 ideals in 8 passes
Tue Jul 21 03:43:53 2015  max relations containing the same ideal: 185
Tue Jul 21 03:45:00 2015  removing 7598593 relations and 5598593 ideals in 2000000 cliques
Tue Jul 21 03:45:03 2015  commencing in-memory singleton removal
Tue Jul 21 03:45:15 2015  begin with 83141529 relations and 73538109 unique ideals
Tue Jul 21 03:46:47 2015  reduce to 82670122 relations and 67458338 ideals in 8 passes
Tue Jul 21 03:46:47 2015  max relations containing the same ideal: 174
Tue Jul 21 03:47:47 2015  removing 7180048 relations and 5180048 ideals in 2000000 cliques
Tue Jul 21 03:47:50 2015  commencing in-memory singleton removal
Tue Jul 21 03:48:00 2015  begin with 75490074 relations and 67458338 unique ideals
Tue Jul 21 03:49:24 2015  reduce to 75042107 relations and 61820534 ideals in 8 passes
Tue Jul 21 03:49:24 2015  max relations containing the same ideal: 164
Tue Jul 21 03:50:19 2015  removing 6917190 relations and 4917190 ideals in 2000000 cliques
Tue Jul 21 03:50:22 2015  commencing in-memory singleton removal
Tue Jul 21 03:50:30 2015  begin with 68124917 relations and 61820534 unique ideals
Tue Jul 21 03:51:23 2015  reduce to 67685743 relations and 56453939 ideals in 7 passes
Tue Jul 21 03:51:23 2015  max relations containing the same ideal: 155
Tue Jul 21 03:52:09 2015  removing 6728166 relations and 4728166 ideals in 2000000 cliques
Tue Jul 21 03:52:11 2015  commencing in-memory singleton removal
Tue Jul 21 03:52:18 2015  begin with 60957577 relations and 56453939 unique ideals
Tue Jul 21 03:53:13 2015  reduce to 60513440 relations and 51270150 ideals in 8 passes
Tue Jul 21 03:53:13 2015  max relations containing the same ideal: 143
Tue Jul 21 03:53:51 2015  removing 6588551 relations and 4588551 ideals in 2000000 cliques
Tue Jul 21 03:53:54 2015  commencing in-memory singleton removal
Tue Jul 21 03:54:00 2015  begin with 53924889 relations and 51270150 unique ideals
Tue Jul 21 03:54:43 2015  reduce to 53463068 relations and 46206660 ideals in 7 passes
Tue Jul 21 03:54:43 2015  max relations containing the same ideal: 133
Tue Jul 21 03:55:18 2015  removing 6477738 relations and 4477738 ideals in 2000000 cliques
Tue Jul 21 03:55:20 2015  commencing in-memory singleton removal
Tue Jul 21 03:55:26 2015  begin with 46985330 relations and 46206660 unique ideals
Tue Jul 21 03:56:01 2015  reduce to 46493131 relations and 41221081 ideals in 7 passes
Tue Jul 21 03:56:01 2015  max relations containing the same ideal: 125
Tue Jul 21 03:56:31 2015  removing 6389200 relations and 4389200 ideals in 2000000 cliques
Tue Jul 21 03:56:33 2015  commencing in-memory singleton removal
Tue Jul 21 03:56:37 2015  begin with 40103931 relations and 41221081 unique ideals
Tue Jul 21 03:57:07 2015  reduce to 39559826 relations and 36268066 ideals in 7 passes
Tue Jul 21 03:57:07 2015  max relations containing the same ideal: 113
Tue Jul 21 03:57:32 2015  removing 6332567 relations and 4332567 ideals in 2000000 cliques
Tue Jul 21 03:57:34 2015  commencing in-memory singleton removal
Tue Jul 21 03:57:38 2015  begin with 33227259 relations and 36268066 unique ideals
Tue Jul 21 03:58:05 2015  reduce to 32589406 relations and 31270150 ideals in 8 passes
Tue Jul 21 03:58:05 2015  max relations containing the same ideal: 98
Tue Jul 21 03:58:27 2015  removing 2539873 relations and 1897960 ideals in 641913 cliques
Tue Jul 21 03:58:28 2015  commencing in-memory singleton removal
Tue Jul 21 03:58:31 2015  begin with 30049533 relations and 31270150 unique ideals
Tue Jul 21 03:58:55 2015  reduce to 29918960 relations and 29239488 ideals in 6 passes
Tue Jul 21 03:58:55 2015  max relations containing the same ideal: 92
Tue Jul 21 03:59:21 2015  relations with 0 large ideals: 22095
Tue Jul 21 03:59:21 2015  relations with 1 large ideals: 8874
Tue Jul 21 03:59:21 2015  relations with 2 large ideals: 112832
Tue Jul 21 03:59:21 2015  relations with 3 large ideals: 764857
Tue Jul 21 03:59:21 2015  relations with 4 large ideals: 2776762
Tue Jul 21 03:59:21 2015  relations with 5 large ideals: 5983921
Tue Jul 21 03:59:21 2015  relations with 6 large ideals: 8007907
Tue Jul 21 03:59:21 2015  relations with 7+ large ideals: 12241712
Tue Jul 21 03:59:21 2015  commencing 2-way merge
Tue Jul 21 03:59:45 2015  reduce to 19886807 relation sets and 19207335 unique ideals
Tue Jul 21 03:59:45 2015  commencing full merge
Tue Jul 21 04:12:09 2015  memory use: 2559.6 MB
Tue Jul 21 04:12:13 2015  found 8734420 cycles, need 8729535
Tue Jul 21 04:12:14 2015  weight of 8729535 cycles is about 1117854472 (128.05/cycle)
Tue Jul 21 04:12:14 2015  distribution of cycle lengths:
Tue Jul 21 04:12:14 2015  1 relations: 247229
Tue Jul 21 04:12:14 2015  2 relations: 416451
Tue Jul 21 04:12:14 2015  3 relations: 524841
Tue Jul 21 04:12:14 2015  4 relations: 570252
Tue Jul 21 04:12:14 2015  5 relations: 610316
Tue Jul 21 04:12:14 2015  6 relations: 620859
Tue Jul 21 04:12:14 2015  7 relations: 617598
Tue Jul 21 04:12:14 2015  8 relations: 605271
Tue Jul 21 04:12:14 2015  9 relations: 579808
Tue Jul 21 04:12:14 2015  10+ relations: 3936910
Tue Jul 21 04:12:14 2015  heaviest cycle: 28 relations
Tue Jul 21 04:12:17 2015  commencing cycle optimization
Tue Jul 21 04:12:40 2015  start with 84134927 relations
Tue Jul 21 04:18:47 2015  pruned 4221634 relations
Tue Jul 21 04:18:47 2015  memory use: 2112.1 MB
Tue Jul 21 04:18:47 2015  distribution of cycle lengths:
Tue Jul 21 04:18:47 2015  1 relations: 247229
Tue Jul 21 04:18:47 2015  2 relations: 427305
Tue Jul 21 04:18:47 2015  3 relations: 547210
Tue Jul 21 04:18:47 2015  4 relations: 595946
Tue Jul 21 04:18:47 2015  5 relations: 643670
Tue Jul 21 04:18:47 2015  6 relations: 654757
Tue Jul 21 04:18:47 2015  7 relations: 655360
Tue Jul 21 04:18:47 2015  8 relations: 639236
Tue Jul 21 04:18:47 2015  9 relations: 611405
Tue Jul 21 04:18:47 2015  10+ relations: 3707417
Tue Jul 21 04:18:47 2015  heaviest cycle: 28 relations
Tue Jul 21 04:19:08 2015  RelProcTime: 12036
Tue Jul 21 04:19:08 2015  elapsed time 03:20:37

Tue Jul 21 04:19:35 2015  Msieve v. 1.53 (SVN 975)
Tue Jul 21 04:19:35 2015  random seeds: 6394f1ba c4486abd
Tue Jul 21 04:19:35 2015  MPI process 0 of 2
Tue Jul 21 04:19:35 2015  factoring 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 (203 digits)
Tue Jul 21 04:19:36 2015  no P-1/P+1/ECM available, skipping
Tue Jul 21 04:19:36 2015  commencing number field sieve (203-digit input)
Tue Jul 21 04:19:36 2015  R0: -10000000000000000000000000000000000000000
Tue Jul 21 04:19:36 2015  R1: 1
Tue Jul 21 04:19:36 2015  A0: -1
Tue Jul 21 04:19:36 2015  A1: 0
Tue Jul 21 04:19:36 2015  A2: 0
Tue Jul 21 04:19:36 2015  A3: -60
Tue Jul 21 04:19:36 2015  A4: 0
Tue Jul 21 04:19:36 2015  A5: 0
Tue Jul 21 04:19:36 2015  A6: 1000
Tue Jul 21 04:19:36 2015  skew 0.32, size 4.926e-12, alpha 0.082, combined = 3.813e-13 rroots = 2
Tue Jul 21 04:19:36 2015  
Tue Jul 21 04:19:36 2015  commencing linear algebra
Tue Jul 21 04:19:36 2015  initialized process (0,0) of 1 x 2 grid
Tue Jul 21 04:19:41 2015  read 8729535 cycles
Tue Jul 21 04:20:08 2015  cycles contain 29570566 unique relations
Tue Jul 21 04:30:10 2015  read 29570566 relations
Tue Jul 21 04:31:30 2015  using 20 quadratic characters above 2147483564
Tue Jul 21 04:34:16 2015  building initial matrix
Tue Jul 21 04:42:52 2015  memory use: 3915.4 MB
Tue Jul 21 04:43:12 2015  read 8729535 cycles
Tue Jul 21 04:43:14 2015  matrix is 8729358 x 8729535 (4311.9 MB) with weight 1261673135 (144.53/col)
Tue Jul 21 04:43:14 2015  sparse part has weight 1034317429 (118.48/col)
Tue Jul 21 04:46:20 2015  filtering completed in 2 passes
Tue Jul 21 04:46:23 2015  matrix is 8729321 x 8729498 (4311.9 MB) with weight 1261671883 (144.53/col)
Tue Jul 21 04:46:23 2015  sparse part has weight 1034317117 (118.49/col)
Tue Jul 21 04:47:10 2015  matrix starts at (0, 0)
Tue Jul 21 04:47:11 2015  matrix is 8729321 x 4364752 (2156.0 MB) with weight 630833102 (144.53/col)
Tue Jul 21 04:47:11 2015  sparse part has weight 517158732 (118.49/col)
Tue Jul 21 04:47:11 2015  saving the first 48 matrix rows for later
Tue Jul 21 04:47:13 2015  matrix includes 64 packed rows
Tue Jul 21 04:47:14 2015  matrix is 8729273 x 4364752 (2078.7 MB) with weight 542647631 (124.32/col)
Tue Jul 21 04:47:14 2015  sparse part has weight 501280937 (114.85/col)
Tue Jul 21 04:47:14 2015  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Jul 21 04:47:51 2015  commencing Lanczos iteration (6 threads)
Tue Jul 21 04:47:51 2015  memory use: 1799.8 MB
Tue Jul 21 04:48:18 2015  linear algebra at 0.0%, ETA 40h 0m
Tue Jul 21 04:48:26 2015  checkpointing every 230000 dimensions
Wed Jul 22 20:29:55 2015  lanczos halted after 138050 iterations (dim = 8729272)
Wed Jul 22 20:30:06 2015  recovered 38 nontrivial dependencies
Wed Jul 22 20:30:07 2015  BLanczosTime: 144631
Wed Jul 22 20:30:07 2015  elapsed time 40:10:32


Wed Jul 22 20:30:12 2015  
Wed Jul 22 20:30:12 2015  
Wed Jul 22 20:30:12 2015  Msieve v. 1.53 (SVN 983M)
Wed Jul 22 20:30:12 2015  random seeds: 01880fa8 268e8d39
Wed Jul 22 20:30:12 2015  factoring 10559750980434644058734365485991474284408762166723728509522350922742246795472091149079290034396677856274609807069603347737405474350510391880558033372928468018809762789785271781032159484565661328385558697 (203 digits)
Wed Jul 22 20:30:13 2015  no P-1/P+1/ECM available, skipping
Wed Jul 22 20:30:13 2015  commencing number field sieve (203-digit input)
Wed Jul 22 20:30:13 2015  R0: -10000000000000000000000000000000000000000
Wed Jul 22 20:30:13 2015  R1: 1
Wed Jul 22 20:30:13 2015  A0: -1
Wed Jul 22 20:30:13 2015  A1: 0
Wed Jul 22 20:30:13 2015  A2: 0
Wed Jul 22 20:30:13 2015  A3: -60
Wed Jul 22 20:30:13 2015  A4: 0
Wed Jul 22 20:30:13 2015  A5: 0
Wed Jul 22 20:30:13 2015  A6: 1000
Wed Jul 22 20:30:13 2015  skew 0.32, size 4.926e-012, alpha 0.082, combined = 3.813e-013 rroots = 2
Wed Jul 22 20:30:13 2015  
Wed Jul 22 20:30:13 2015  commencing square root phase
Wed Jul 22 20:30:13 2015  reading relations for dependency 1
Wed Jul 22 20:30:16 2015  read 4363495 cycles
Wed Jul 22 20:30:28 2015  cycles contain 14783962 unique relations
Wed Jul 22 20:38:11 2015  read 14783962 relations
Wed Jul 22 20:40:06 2015  multiplying 14783962 relations
Wed Jul 22 20:58:42 2015  multiply complete, coefficients have about 506.00 million bits
Wed Jul 22 20:58:47 2015  initial square root is modulo 1200101963
Wed Jul 22 21:21:49 2015  sqrtTime: 3096
Wed Jul 22 21:21:49 2015  p82 factor: 5450722800672998903327957617679872270374306756516431625668536595913317867258865023
Wed Jul 22 21:21:49 2015  p121 factor: 1937312053207115058487645560358013542198686716867697280821953075384619352380307108264262471018107834244535370953029383639
Wed Jul 22 21:21:49 2015  elapsed time 00:51:37

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovJanuary 10, 2012 09:13:33 UTC 2012 年 1 月 10 日 (火) 18 時 13 分 33 秒 (日本時間)
1440Youcef LemsaferDecember 17, 2013 04:57:31 UTC 2013 年 12 月 17 日 (火) 13 時 57 分 31 秒 (日本時間)
4511e63072Youcef LemsaferJune 3, 2014 15:01:23 UTC 2014 年 6 月 4 日 (水) 0 時 1 分 23 秒 (日本時間)
5043e6641640Youcef LemsaferJune 4, 2014 22:33:30 UTC 2014 年 6 月 5 日 (木) 7 時 33 分 30 秒 (日本時間)
1KTakahashiJune 5, 2014 13:00:04 UTC 2014 年 6 月 5 日 (木) 22 時 0 分 4 秒 (日本時間)
5511e7273664Youcef LemsaferJune 4, 2014 23:14:35 UTC 2014 年 6 月 5 日 (木) 8 時 14 分 35 秒 (日本時間)
720Youcef LemsaferSeptember 12, 2014 14:38:28 UTC 2014 年 9 月 12 日 (金) 23 時 38 分 28 秒 (日本時間)
1440Youcef LemsaferOctober 9, 2014 20:48:21 UTC 2014 年 10 月 10 日 (金) 5 時 48 分 21 秒 (日本時間)
512Youcef LemsaferNovember 13, 2014 20:03:50 UTC 2014 年 11 月 14 日 (金) 5 時 3 分 50 秒 (日本時間)
6026e77424 / 40560Youcef LemsaferJuly 5, 2015 19:31:42 UTC 2015 年 7 月 6 日 (月) 4 時 31 分 42 秒 (日本時間)
6585e796 / 67073Youcef LemsaferJuly 6, 2015 18:13:05 UTC 2015 年 7 月 7 日 (火) 3 時 13 分 5 秒 (日本時間)

10245-6×10122-13

c205

name 名前Youcef Lemsafer
date 日付January 18, 2016 19:37:26 UTC 2016 年 1 月 19 日 (火) 4 時 37 分 26 秒 (日本時間)
composite number 合成数
1326209233981907691008196173204120435521104629627139757032659941672688091623010713526544805355986363619399191353148036173945570450010751900459945099115386483202099482460822260158318661962775422813653632523<205>
prime factors 素因数
454544244432637954140219618238225452650553249924038778583<57>
2917668082316787056299064116330324245622935748515332728937294970702732363538257028999722895674557059355553278489925704468320134867148525508643123181<148>
factorization results 素因数分解の結果
<Parameters were as follows:>
#
# 33133_122, C205, SNFS_diff = 246
# f(X) = X^6-6*X^3-10
# g(X) = X-10^41
#
n: 1326209233981907691008196173204120435521104629627139757032659941672688091623010713526544805355986363619399191353148036173945570450010751900459945099115386483202099482460822260158318661962775422813653632523
m: 100000000000000000000000000000000000000000
deg: 6
c6: 1
c3: -6
c0: -10
skew: 1.47
# Murphy_E = 3.202e-13
type: snfs
lss: 1
rlim: 98000000
alim: 98000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7

<Sieving from 20E6 to 183E6 using gnfs-lasieve4I14e -r took 15749 thread.hour.>
<Post-processing on Intel Core-i7 5820K running Linux 64-bit Debian 8.2:>

Thu Jan 14 01:24:08 2016  
Thu Jan 14 01:24:08 2016  
Thu Jan 14 01:24:08 2016  Msieve v. 1.53 (SVN 991)
Thu Jan 14 01:24:08 2016  random seeds: 691773ea d0ce7fbc
Thu Jan 14 01:24:08 2016  factoring 1326209233981907691008196173204120435521104629627139757032659941672688091623010713526544805355986363619399191353148036173945570450010751900459945099115386483202099482460822260158318661962775422813653632523 (205 digits)
Thu Jan 14 01:24:09 2016  no P-1/P+1/ECM available, skipping
Thu Jan 14 01:24:09 2016  commencing number field sieve (205-digit input)
Thu Jan 14 01:24:09 2016  R0: -100000000000000000000000000000000000000000
Thu Jan 14 01:24:09 2016  R1: 1
Thu Jan 14 01:24:09 2016  A0: -10
Thu Jan 14 01:24:09 2016  A1: 0
Thu Jan 14 01:24:09 2016  A2: 0
Thu Jan 14 01:24:09 2016  A3: -6
Thu Jan 14 01:24:09 2016  A4: 0
Thu Jan 14 01:24:09 2016  A5: 0
Thu Jan 14 01:24:09 2016  A6: 1
Thu Jan 14 01:24:09 2016  skew 1.47, size 3.311e-12, alpha 2.240, combined = 2.838e-13 rroots = 2
Thu Jan 14 01:24:09 2016  
Thu Jan 14 01:24:09 2016  commencing relation filtering
Thu Jan 14 01:24:09 2016  setting target matrix density to 112.0
Thu Jan 14 01:24:09 2016  estimated available RAM is 64456.1 MB
Thu Jan 14 01:24:09 2016  commencing duplicate removal, pass 1
Thu Jan 14 01:27:57 2016  error -9 reading relation 29631162
Thu Jan 14 01:27:57 2016  error -9 reading relation 29651264
Thu Jan 14 01:31:29 2016  error -15 reading relation 57126908
Thu Jan 14 01:31:29 2016  error -15 reading relation 57150561
Thu Jan 14 01:31:29 2016  error -15 reading relation 57175240
Thu Jan 14 01:31:30 2016  error -15 reading relation 57198799
Thu Jan 14 01:31:30 2016  error -9 reading relation 57221647
Thu Jan 14 01:31:30 2016  error -9 reading relation 57245571
Thu Jan 14 01:31:30 2016  error -15 reading relation 57269051
Thu Jan 14 01:31:30 2016  error -9 reading relation 57293382
Thu Jan 14 01:31:31 2016  error -1 reading relation 57340466
Thu Jan 14 01:33:39 2016  error -15 reading relation 73894697
Thu Jan 14 01:33:39 2016  error -9 reading relation 73900865
Thu Jan 14 01:33:39 2016  error -9 reading relation 73939843
Thu Jan 14 01:33:39 2016  error -5 reading relation 73946033
Thu Jan 14 01:33:40 2016  error -9 reading relation 73984893
Thu Jan 14 01:33:40 2016  error -15 reading relation 73991371
Thu Jan 14 01:33:40 2016  error -15 reading relation 74030221
Thu Jan 14 01:33:40 2016  error -9 reading relation 74052434
Thu Jan 14 01:33:40 2016  error -1 reading relation 74058739
Thu Jan 14 01:33:40 2016  error -15 reading relation 74074952
Thu Jan 14 01:33:41 2016  error -9 reading relation 74080985
Thu Jan 14 01:51:31 2016  skipped 28 relations with b > 2^32
Thu Jan 14 01:51:31 2016  skipped 17 relations with composite factors
Thu Jan 14 01:51:31 2016  found 43965283 hash collisions in 211214133 relations
Thu Jan 14 01:51:48 2016  added 406196 free relations
Thu Jan 14 01:51:48 2016  commencing duplicate removal, pass 2
Thu Jan 14 01:55:09 2016  found 44831725 duplicates and 166788604 unique relations
Thu Jan 14 01:55:09 2016  memory use: 1321.5 MB
Thu Jan 14 01:55:09 2016  reading ideals above 720000
Thu Jan 14 01:55:09 2016  commencing singleton removal, initial pass
Thu Jan 14 02:15:36 2016  memory use: 5512.0 MB
Thu Jan 14 02:15:36 2016  reading all ideals from disk
Thu Jan 14 02:15:38 2016  memory use: 6574.3 MB
Thu Jan 14 02:15:58 2016  keeping 166809045 ideals with weight <= 200, target excess is 870640
Thu Jan 14 02:16:19 2016  commencing in-memory singleton removal
Thu Jan 14 02:16:34 2016  begin with 166788604 relations and 166809045 unique ideals
Thu Jan 14 02:19:18 2016  reduce to 89033666 relations and 78952675 ideals in 18 passes
Thu Jan 14 02:19:18 2016  max relations containing the same ideal: 137
Thu Jan 14 02:20:02 2016  removing 7737596 relations and 6737596 ideals in 1000000 cliques
Thu Jan 14 02:20:04 2016  commencing in-memory singleton removal
Thu Jan 14 02:20:11 2016  begin with 81296070 relations and 78952675 unique ideals
Thu Jan 14 02:21:24 2016  reduce to 80811493 relations and 71723302 ideals in 10 passes
Thu Jan 14 02:21:24 2016  max relations containing the same ideal: 129
Thu Jan 14 02:22:03 2016  removing 5728195 relations and 4728195 ideals in 1000000 cliques
Thu Jan 14 02:22:05 2016  commencing in-memory singleton removal
Thu Jan 14 02:22:12 2016  begin with 75083298 relations and 71723302 unique ideals
Thu Jan 14 02:23:06 2016  reduce to 74783235 relations and 66691310 ideals in 8 passes
Thu Jan 14 02:23:06 2016  max relations containing the same ideal: 121
Thu Jan 14 02:23:42 2016  removing 5099818 relations and 4099818 ideals in 1000000 cliques
Thu Jan 14 02:23:44 2016  commencing in-memory singleton removal
Thu Jan 14 02:23:50 2016  begin with 69683417 relations and 66691310 unique ideals
Thu Jan 14 02:24:39 2016  reduce to 69425176 relations and 62329934 ideals in 8 passes
Thu Jan 14 02:24:39 2016  max relations containing the same ideal: 115
Thu Jan 14 02:25:13 2016  removing 4755090 relations and 3755090 ideals in 1000000 cliques
Thu Jan 14 02:25:14 2016  commencing in-memory singleton removal
Thu Jan 14 02:25:20 2016  begin with 64670086 relations and 62329934 unique ideals
Thu Jan 14 02:26:05 2016  reduce to 64431707 relations and 58333313 ideals in 8 passes
Thu Jan 14 02:26:05 2016  max relations containing the same ideal: 110
Thu Jan 14 02:26:36 2016  removing 4530421 relations and 3530421 ideals in 1000000 cliques
Thu Jan 14 02:26:38 2016  commencing in-memory singleton removal
Thu Jan 14 02:26:43 2016  begin with 59901286 relations and 58333313 unique ideals
Thu Jan 14 02:27:34 2016  reduce to 59672440 relations and 54570944 ideals in 10 passes
Thu Jan 14 02:27:34 2016  max relations containing the same ideal: 104
Thu Jan 14 02:28:03 2016  removing 4371018 relations and 3371018 ideals in 1000000 cliques
Thu Jan 14 02:28:05 2016  commencing in-memory singleton removal
Thu Jan 14 02:28:09 2016  begin with 55301422 relations and 54570944 unique ideals
Thu Jan 14 02:28:47 2016  reduce to 55073011 relations and 50968272 ideals in 8 passes
Thu Jan 14 02:28:47 2016  max relations containing the same ideal: 101
Thu Jan 14 02:29:14 2016  removing 4253226 relations and 3253226 ideals in 1000000 cliques
Thu Jan 14 02:29:15 2016  commencing in-memory singleton removal
Thu Jan 14 02:29:19 2016  begin with 50819785 relations and 50968272 unique ideals
Thu Jan 14 02:29:54 2016  reduce to 50586496 relations and 47478115 ideals in 8 passes
Thu Jan 14 02:29:54 2016  max relations containing the same ideal: 94
Thu Jan 14 02:30:18 2016  removing 4164398 relations and 3164398 ideals in 1000000 cliques
Thu Jan 14 02:30:19 2016  commencing in-memory singleton removal
Thu Jan 14 02:30:23 2016  begin with 46422098 relations and 47478115 unique ideals
Thu Jan 14 02:30:50 2016  reduce to 46179378 relations and 44066953 ideals in 7 passes
Thu Jan 14 02:30:50 2016  max relations containing the same ideal: 90
Thu Jan 14 02:31:13 2016  removing 4102424 relations and 3102424 ideals in 1000000 cliques
Thu Jan 14 02:31:14 2016  commencing in-memory singleton removal
Thu Jan 14 02:31:17 2016  begin with 42076954 relations and 44066953 unique ideals
Thu Jan 14 02:31:49 2016  reduce to 41818424 relations and 40701211 ideals in 9 passes
Thu Jan 14 02:31:49 2016  max relations containing the same ideal: 83
Thu Jan 14 02:32:09 2016  removing 645335 relations and 538065 ideals in 107270 cliques
Thu Jan 14 02:32:10 2016  commencing in-memory singleton removal
Thu Jan 14 02:32:13 2016  begin with 41173089 relations and 40701211 unique ideals
Thu Jan 14 02:32:30 2016  reduce to 41167109 relations and 40157155 ideals in 5 passes
Thu Jan 14 02:32:30 2016  max relations containing the same ideal: 83
Thu Jan 14 02:32:38 2016  relations with 0 large ideals: 11026
Thu Jan 14 02:32:38 2016  relations with 1 large ideals: 15904
Thu Jan 14 02:32:38 2016  relations with 2 large ideals: 221839
Thu Jan 14 02:32:38 2016  relations with 3 large ideals: 1380026
Thu Jan 14 02:32:38 2016  relations with 4 large ideals: 4613305
Thu Jan 14 02:32:38 2016  relations with 5 large ideals: 9153154
Thu Jan 14 02:32:38 2016  relations with 6 large ideals: 11257271
Thu Jan 14 02:32:38 2016  relations with 7+ large ideals: 14514584
Thu Jan 14 02:32:38 2016  commencing 2-way merge
Thu Jan 14 02:33:03 2016  reduce to 26427344 relation sets and 25417390 unique ideals
Thu Jan 14 02:33:03 2016  commencing full merge
Thu Jan 14 02:41:29 2016  memory use: 3165.6 MB
Thu Jan 14 02:41:32 2016  found 12147803 cycles, need 12045590
Thu Jan 14 02:41:34 2016  weight of 12045590 cycles is about 1349368810 (112.02/cycle)
Thu Jan 14 02:41:34 2016  distribution of cycle lengths:
Thu Jan 14 02:41:34 2016  1 relations: 583315
Thu Jan 14 02:41:34 2016  2 relations: 844431
Thu Jan 14 02:41:34 2016  3 relations: 977638
Thu Jan 14 02:41:34 2016  4 relations: 987419
Thu Jan 14 02:41:34 2016  5 relations: 980782
Thu Jan 14 02:41:34 2016  6 relations: 943125
Thu Jan 14 02:41:34 2016  7 relations: 889689
Thu Jan 14 02:41:34 2016  8 relations: 832053
Thu Jan 14 02:41:34 2016  9 relations: 767892
Thu Jan 14 02:41:34 2016  10+ relations: 4239246
Thu Jan 14 02:41:34 2016  heaviest cycle: 27 relations
Thu Jan 14 02:41:38 2016  commencing cycle optimization
Thu Jan 14 02:41:59 2016  start with 98308808 relations
Thu Jan 14 02:45:06 2016  pruned 3847257 relations
Thu Jan 14 02:45:06 2016  memory use: 2720.1 MB
Thu Jan 14 02:45:06 2016  distribution of cycle lengths:
Thu Jan 14 02:45:06 2016  1 relations: 583315
Thu Jan 14 02:45:06 2016  2 relations: 866841
Thu Jan 14 02:45:06 2016  3 relations: 1020538
Thu Jan 14 02:45:06 2016  4 relations: 1026158
Thu Jan 14 02:45:06 2016  5 relations: 1024937
Thu Jan 14 02:45:06 2016  6 relations: 979842
Thu Jan 14 02:45:06 2016  7 relations: 925133
Thu Jan 14 02:45:06 2016  8 relations: 860453
Thu Jan 14 02:45:06 2016  9 relations: 789909
Thu Jan 14 02:45:06 2016  10+ relations: 3968464
Thu Jan 14 02:45:06 2016  heaviest cycle: 27 relations
Thu Jan 14 02:45:33 2016  RelProcTime: 4884
Thu Jan 14 02:45:33 2016  elapsed time 01:21:25
Thu Jan 14 02:45:33 2016  
Thu Jan 14 02:45:33 2016  
Thu Jan 14 02:45:33 2016  Msieve v. 1.53 (SVN 991)
Thu Jan 14 02:45:33 2016  random seeds: 3c1ce8b1 fd95ec2e
Thu Jan 14 02:45:33 2016  factoring 1326209233981907691008196173204120435521104629627139757032659941672688091623010713526544805355986363619399191353148036173945570450010751900459945099115386483202099482460822260158318661962775422813653632523 (205 digits)
Thu Jan 14 02:45:35 2016  no P-1/P+1/ECM available, skipping
Thu Jan 14 02:45:35 2016  commencing number field sieve (205-digit input)
Thu Jan 14 02:45:35 2016  R0: -100000000000000000000000000000000000000000
Thu Jan 14 02:45:35 2016  R1: 1
Thu Jan 14 02:45:35 2016  A0: -10
Thu Jan 14 02:45:35 2016  A1: 0
Thu Jan 14 02:45:35 2016  A2: 0
Thu Jan 14 02:45:35 2016  A3: -6
Thu Jan 14 02:45:35 2016  A4: 0
Thu Jan 14 02:45:35 2016  A5: 0
Thu Jan 14 02:45:35 2016  A6: 1
Thu Jan 14 02:45:35 2016  skew 1.47, size 3.311e-12, alpha 2.240, combined = 2.838e-13 rroots = 2
Thu Jan 14 02:45:35 2016  
Thu Jan 14 02:45:35 2016  commencing linear algebra
Thu Jan 14 02:45:35 2016  read 12045590 cycles
Thu Jan 14 02:45:59 2016  cycles contain 40620886 unique relations
Thu Jan 14 02:51:17 2016  read 40620886 relations
Thu Jan 14 02:52:24 2016  using 20 quadratic characters above 4294917295
Thu Jan 14 02:55:04 2016  building initial matrix
Thu Jan 14 03:02:13 2016  memory use: 5357.9 MB
Thu Jan 14 03:02:17 2016  read 12045590 cycles
Thu Jan 14 03:02:18 2016  matrix is 12045413 x 12045590 (5299.0 MB) with weight 1521343040 (126.30/col)
Thu Jan 14 03:02:18 2016  sparse part has weight 1268646884 (105.32/col)
Thu Jan 14 03:04:50 2016  filtering completed in 2 passes
Thu Jan 14 03:04:52 2016  matrix is 12044673 x 12044850 (5298.9 MB) with weight 1521317541 (126.30/col)
Thu Jan 14 03:04:52 2016  sparse part has weight 1268637147 (105.33/col)
Thu Jan 14 03:05:33 2016  matrix starts at (0, 0)
Thu Jan 14 03:05:34 2016  matrix is 12044673 x 12044850 (5298.9 MB) with weight 1521317541 (126.30/col)
Thu Jan 14 03:05:34 2016  sparse part has weight 1268637147 (105.33/col)
Thu Jan 14 03:05:34 2016  saving the first 48 matrix rows for later
Thu Jan 14 03:05:36 2016  matrix includes 64 packed rows
Thu Jan 14 03:05:37 2016  matrix is 12044625 x 12044850 (5086.7 MB) with weight 1286619260 (106.82/col)
Thu Jan 14 03:05:37 2016  sparse part has weight 1212996794 (100.71/col)
Thu Jan 14 03:05:38 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Thu Jan 14 03:06:23 2016  commencing Lanczos iteration (6 threads)
Thu Jan 14 03:06:23 2016  memory use: 4334.6 MB
Thu Jan 14 03:07:14 2016  linear algebra at 0.0%, ETA 108h20m
Thu Jan 14 03:07:27 2016  checkpointing every 120000 dimensions
Mon Jan 18 12:44:24 2016  lanczos halted after 190468 iterations (dim = 12044622)
Mon Jan 18 12:44:34 2016  recovered 35 nontrivial dependencies
Mon Jan 18 12:44:34 2016  BLanczosTime: 381539
Mon Jan 18 12:44:34 2016  
Mon Jan 18 12:44:34 2016  commencing square root phase
Mon Jan 18 12:44:34 2016  reading relations for dependency 1
Mon Jan 18 12:44:35 2016  read 6022093 cycles
Mon Jan 18 12:44:46 2016  cycles contain 20309328 unique relations
Mon Jan 18 12:48:38 2016  read 20309328 relations
Mon Jan 18 12:50:00 2016  multiplying 20309328 relations
Mon Jan 18 13:00:21 2016  multiply complete, coefficients have about 517.21 million bits
Mon Jan 18 13:00:23 2016  initial square root is modulo 1907319133
Mon Jan 18 13:11:04 2016  sqrtTime: 1590
Mon Jan 18 13:11:04 2016  p57 factor: 454544244432637954140219618238225452650553249924038778583
Mon Jan 18 13:11:04 2016  p148 factor: 2917668082316787056299064116330324245622935748515332728937294970702732363538257028999722895674557059355553278489925704468320134867148525508643123181
Mon Jan 18 13:11:04 2016  elapsed time 106:25:31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e623241000Dmitry DomanovJanuary 10, 2012 09:13:44 UTC 2012 年 1 月 10 日 (火) 18 時 13 分 44 秒 (日本時間)
1024Youcef LemsaferOctober 30, 2013 18:55:45 UTC 2013 年 10 月 31 日 (木) 3 時 55 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:41 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 41 秒 (日本時間)
4511e6309725KTakahashiMarch 22, 2014 10:24:11 UTC 2014 年 3 月 22 日 (土) 19 時 24 分 11 秒 (日本時間)
3072Youcef LemsaferJune 6, 2014 21:36:55 UTC 2014 年 6 月 7 日 (土) 6 時 36 分 55 秒 (日本時間)
5043e6766640Youcef LemsaferJune 8, 2014 06:05:24 UTC 2014 年 6 月 8 日 (日) 15 時 5 分 24 秒 (日本時間)
126KTakahashiNovember 1, 2014 20:27:04 UTC 2014 年 11 月 2 日 (日) 5 時 27 分 4 秒 (日本時間)
5511e72009764Youcef LemsaferJune 8, 2014 12:32:08 UTC 2014 年 6 月 8 日 (日) 21 時 32 分 8 秒 (日本時間)
668Youcef LemsaferSeptember 15, 2014 12:52:25 UTC 2014 年 9 月 15 日 (月) 21 時 52 分 25 秒 (日本時間)
1440Youcef LemsaferOctober 12, 2014 02:29:27 UTC 2014 年 10 月 12 日 (日) 11 時 29 分 27 秒 (日本時間)
708Youcef LemsaferNovember 14, 2014 18:43:52 UTC 2014 年 11 月 15 日 (土) 3 時 43 分 52 秒 (日本時間)
17217Youcef LemsaferDecember 21, 2015 11:08:28 UTC 2015 年 12 月 21 日 (月) 20 時 8 分 28 秒 (日本時間)

10247-6×10123-13

c223

name 名前Youcef Lemsafer
date 日付January 13, 2016 04:59:10 UTC 2016 年 1 月 13 日 (水) 13 時 59 分 10 秒 (日本時間)
composite number 合成数
3203888578627481043829880502756306341105723181338580435512126905442218542525246638870006421096587448157335159133445594401419807588751620719686333803388212836568792726353524304472643689731511296426535402987749073714343760387<223>
prime factors 素因数
2481131544341310904192495731678517799374064855280443<52>
1291301376557222071822613781736643548643382673992820730908889508026526491044624544291843167888039424659060680369726071742865727787542012631270479945448117228535175213774809<172>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Running on ip-172-30-0-144
Input number is (10^247-6*10^123-1)/(3*1733*47155237*12731302767679) (223 digits)
[Wed Jan 13 02:38:36 2016]
Using MODMULN [mulredc:2, sqrredc:2]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1446709723
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 1130265ms
Using 27 small primes for NTT
Estimated memory usage: 610M
Initializing tables of differences for F took 730ms
Computing roots of F took 32665ms
Building F from its roots took 11902ms
Computing 1/F took 4983ms
Initializing table of differences for G took 616ms
Computing roots of G took 27579ms
Building G from its roots took 13624ms
Computing roots of G took 27745ms
Building G from its roots took 13691ms
Computing G * H took 2745ms
Reducing  G * H mod F took 2861ms
Computing roots of G took 26337ms
Building G from its roots took 13181ms
Computing G * H took 2559ms
Reducing  G * H mod F took 2721ms
Computing roots of G took 27693ms
Building G from its roots took 13168ms
Computing G * H took 2572ms
Reducing  G * H mod F took 2708ms
Computing polyeval(F,G) took 22707ms
Computing product of all F(g_i) took 138ms
Step 2 took 253528ms
********** Factor found in step 2: 2481131544341310904192495731678517799374064855280443
Found probable prime factor of 52 digits: 2481131544341310904192495731678517799374064855280443
Probable prime cofactor ((10^247-6*10^123-1)/(3*1733*47155237*12731302767679))/2481131544341310904192495731678517799374064855280443 has 172 digits
execution environment 実行環境
Linux Ubuntu 14.04 64-bit, Intel Xeon E5-2676 v3 @2.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovJanuary 10, 2012 09:13:55 UTC 2012 年 1 月 10 日 (火) 18 時 13 分 55 秒 (日本時間)
1440Youcef LemsaferDecember 17, 2013 04:57:58 UTC 2013 年 12 月 17 日 (火) 13 時 57 分 58 秒 (日本時間)
4511e63072Youcef LemsaferJune 10, 2014 11:55:00 UTC 2014 年 6 月 10 日 (火) 20 時 55 分 0 秒 (日本時間)
5043e6641640Youcef LemsaferJune 11, 2014 20:47:03 UTC 2014 年 6 月 12 日 (木) 5 時 47 分 3 秒 (日本時間)
1KTakahashiNovember 1, 2014 20:36:35 UTC 2014 年 11 月 2 日 (日) 5 時 36 分 35 秒 (日本時間)
5511e74488 / 1732964Youcef LemsaferJune 12, 2014 04:21:45 UTC 2014 年 6 月 12 日 (木) 13 時 21 分 45 秒 (日本時間)
720Youcef LemsaferSeptember 22, 2014 08:51:55 UTC 2014 年 9 月 22 日 (月) 17 時 51 分 55 秒 (日本時間)
1440Youcef LemsaferOctober 13, 2014 06:49:21 UTC 2014 年 10 月 13 日 (月) 15 時 49 分 21 秒 (日本時間)
656Youcef LemsaferNovember 15, 2014 05:52:15 UTC 2014 年 11 月 15 日 (土) 14 時 52 分 15 秒 (日本時間)
1608Youcef LemsaferJanuary 13, 2016 04:54:56 UTC 2016 年 1 月 13 日 (水) 13 時 54 分 56 秒 (日本時間)

10249-6×10124-13

c246

name 名前Youcef Lemsafer
date 日付March 4, 2016 05:09:06 UTC 2016 年 3 月 4 日 (金) 14 時 9 分 6 秒 (日本時間)
composite number 合成数
176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263<246>
prime factors 素因数
3122869965450586149602388209635563015039996398669809521615568270969<67>
56446018739507533253429601119158996441320461779035094294104955989328665961081191823215573184521535202273283282298493461184647728233866474823852300590884410508485837034967839832927<179>
factorization results 素因数分解の結果
<Sieving from 20E+6 to 196E+6 using gnfs-lasieve4I14e took 19163 thread.hour>

<Post-processing on dual Intel Xeon E5-2620 @2.0GHz:>

Mon Feb 29 20:29:37 2016  
Mon Feb 29 20:29:37 2016  
Mon Feb 29 20:29:37 2016  Msieve v. 1.53 (SVN 983M)
Mon Feb 29 20:29:37 2016  random seeds: a243fc58 fa66723a
Mon Feb 29 20:29:37 2016  factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits)
Mon Feb 29 20:29:40 2016  no P-1/P+1/ECM available, skipping
Mon Feb 29 20:29:40 2016  commencing number field sieve (246-digit input)
Mon Feb 29 20:29:40 2016  R0: -100000000000000000000000000000000000000000
Mon Feb 29 20:29:40 2016  R1: 1
Mon Feb 29 20:29:40 2016  A0: -1
Mon Feb 29 20:29:40 2016  A1: 0
Mon Feb 29 20:29:40 2016  A2: 0
Mon Feb 29 20:29:40 2016  A3: -60
Mon Feb 29 20:29:40 2016  A4: 0
Mon Feb 29 20:29:40 2016  A5: 0
Mon Feb 29 20:29:40 2016  A6: 1000
Mon Feb 29 20:29:40 2016  skew 1.00, size 2.551e-012, alpha 0.082, combined = 2.259e-013 rroots = 2
Mon Feb 29 20:29:40 2016  
Mon Feb 29 20:29:40 2016  commencing relation filtering
Mon Feb 29 20:29:40 2016  setting target matrix density to 116.0
Mon Feb 29 20:29:40 2016  estimated available RAM is 32739.1 MB
Mon Feb 29 20:29:40 2016  commencing duplicate removal, pass 1
Mon Feb 29 20:30:29 2016  error -1 reading relation 2692604
Mon Feb 29 20:30:30 2016  error -9 reading relation 2725904
Mon Feb 29 20:30:30 2016  error -15 reading relation 2743032
Mon Feb 29 21:36:46 2016  skipped 421 relations with b > 2^32
Mon Feb 29 21:36:46 2016  skipped 2 relations with composite factors
Mon Feb 29 21:36:46 2016  found 46023733 hash collisions in 216975857 relations
Mon Feb 29 21:37:27 2016  added 1218646 free relations
Mon Feb 29 21:37:27 2016  commencing duplicate removal, pass 2
Mon Feb 29 21:43:37 2016  found 47209293 duplicates and 170985210 unique relations
Mon Feb 29 21:43:37 2016  memory use: 1321.5 MB
Mon Feb 29 21:43:37 2016  reading ideals above 172425216
Mon Feb 29 21:43:37 2016  commencing singleton removal, initial pass
Mon Feb 29 22:23:43 2016  memory use: 3012.0 MB
Mon Feb 29 22:23:43 2016  reading all ideals from disk
Mon Feb 29 22:23:45 2016  memory use: 2869.4 MB
Mon Feb 29 22:23:54 2016  commencing in-memory singleton removal
Mon Feb 29 22:24:03 2016  begin with 170985210 relations and 150201435 unique ideals
Mon Feb 29 22:25:45 2016  reduce to 95093963 relations and 64814420 ideals in 17 passes
Mon Feb 29 22:25:45 2016  max relations containing the same ideal: 31
Mon Feb 29 22:25:54 2016  reading ideals above 720000
Mon Feb 29 22:25:55 2016  commencing singleton removal, initial pass
Mon Feb 29 22:54:58 2016  memory use: 2756.0 MB
Mon Feb 29 22:54:58 2016  reading all ideals from disk
Mon Feb 29 22:55:00 2016  memory use: 3743.6 MB
Mon Feb 29 22:55:17 2016  keeping 83576809 ideals with weight <= 200, target excess is 492257
Mon Feb 29 22:55:34 2016  commencing in-memory singleton removal
Mon Feb 29 22:55:47 2016  begin with 95093963 relations and 83576809 unique ideals
Mon Feb 29 22:58:10 2016  reduce to 95023169 relations and 83505953 ideals in 12 passes
Mon Feb 29 22:58:10 2016  max relations containing the same ideal: 200
Mon Feb 29 22:59:18 2016  removing 12165373 relations and 10165373 ideals in 2000000 cliques
Mon Feb 29 22:59:22 2016  commencing in-memory singleton removal
Mon Feb 29 22:59:34 2016  begin with 82857796 relations and 83505953 unique ideals
Mon Feb 29 23:01:14 2016  reduce to 81713865 relations and 72166280 ideals in 9 passes
Mon Feb 29 23:01:14 2016  max relations containing the same ideal: 190
Mon Feb 29 23:02:14 2016  removing 9197660 relations and 7197660 ideals in 2000000 cliques
Mon Feb 29 23:02:18 2016  commencing in-memory singleton removal
Mon Feb 29 23:02:28 2016  begin with 72516205 relations and 72166280 unique ideals
Mon Feb 29 23:04:01 2016  reduce to 71750299 relations and 64183716 ideals in 9 passes
Mon Feb 29 23:04:01 2016  max relations containing the same ideal: 175
Mon Feb 29 23:04:56 2016  removing 8278336 relations and 6278336 ideals in 2000000 cliques
Mon Feb 29 23:04:59 2016  commencing in-memory singleton removal
Mon Feb 29 23:05:08 2016  begin with 63471963 relations and 64183716 unique ideals
Mon Feb 29 23:06:28 2016  reduce to 62771869 relations and 57187387 ideals in 9 passes
Mon Feb 29 23:06:28 2016  max relations containing the same ideal: 161
Mon Feb 29 23:07:19 2016  removing 7804577 relations and 5804577 ideals in 2000000 cliques
Mon Feb 29 23:07:22 2016  commencing in-memory singleton removal
Mon Feb 29 23:07:30 2016  begin with 54967292 relations and 57187387 unique ideals
Mon Feb 29 23:08:42 2016  reduce to 54273239 relations and 50669163 ideals in 9 passes
Mon Feb 29 23:08:42 2016  max relations containing the same ideal: 147
Mon Feb 29 23:09:26 2016  removing 7515815 relations and 5515815 ideals in 2000000 cliques
Mon Feb 29 23:09:29 2016  commencing in-memory singleton removal
Mon Feb 29 23:09:34 2016  begin with 46757424 relations and 50669163 unique ideals
Mon Feb 29 23:10:31 2016  reduce to 46018979 relations and 44391257 ideals in 9 passes
Mon Feb 29 23:10:31 2016  max relations containing the same ideal: 133
Mon Feb 29 23:11:09 2016  removing 4428403 relations and 3371700 ideals in 1056703 cliques
Mon Feb 29 23:11:11 2016  commencing in-memory singleton removal
Mon Feb 29 23:11:16 2016  begin with 41590576 relations and 44391257 unique ideals
Mon Feb 29 23:12:03 2016  reduce to 41301368 relations and 40724493 ideals in 8 passes
Mon Feb 29 23:12:03 2016  max relations containing the same ideal: 124
Mon Feb 29 23:12:46 2016  relations with 0 large ideals: 18806
Mon Feb 29 23:12:46 2016  relations with 1 large ideals: 4164
Mon Feb 29 23:12:46 2016  relations with 2 large ideals: 59868
Mon Feb 29 23:12:46 2016  relations with 3 large ideals: 487031
Mon Feb 29 23:12:46 2016  relations with 4 large ideals: 2186597
Mon Feb 29 23:12:46 2016  relations with 5 large ideals: 5897443
Mon Feb 29 23:12:46 2016  relations with 6 large ideals: 9994356
Mon Feb 29 23:12:46 2016  relations with 7+ large ideals: 22653103
Mon Feb 29 23:12:46 2016  commencing 2-way merge
Mon Feb 29 23:13:29 2016  reduce to 26913835 relation sets and 26336960 unique ideals
Mon Feb 29 23:13:29 2016  commencing full merge
Mon Feb 29 23:47:46 2016  memory use: 1215.3 MB
Mon Feb 29 23:47:59 2016  found 63020 cycles, need 5590457
Mon Feb 29 23:47:59 2016  too few cycles, matrix probably cannot build
Mon Feb 29 23:48:04 2016  
Mon Feb 29 23:48:04 2016  
Mon Feb 29 23:48:04 2016  Msieve v. 1.53 (SVN 983M)
Mon Feb 29 23:48:04 2016  random seeds: 5c5766e8 1985e733
Mon Feb 29 23:48:04 2016  factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits)
Mon Feb 29 23:48:06 2016  no P-1/P+1/ECM available, skipping
Mon Feb 29 23:48:06 2016  commencing number field sieve (246-digit input)
Mon Feb 29 23:48:06 2016  R0: -100000000000000000000000000000000000000000
Mon Feb 29 23:48:06 2016  R1: 1
Mon Feb 29 23:48:06 2016  A0: -1
Mon Feb 29 23:48:06 2016  A1: 0
Mon Feb 29 23:48:06 2016  A2: 0
Mon Feb 29 23:48:06 2016  A3: -60
Mon Feb 29 23:48:06 2016  A4: 0
Mon Feb 29 23:48:06 2016  A5: 0
Mon Feb 29 23:48:06 2016  A6: 1000
Mon Feb 29 23:48:06 2016  skew 1.00, size 2.551e-012, alpha 0.082, combined = 2.259e-013 rroots = 2
Mon Feb 29 23:48:06 2016  
Mon Feb 29 23:48:06 2016  commencing relation filtering
Mon Feb 29 23:48:06 2016  setting target matrix density to 112.0
Mon Feb 29 23:48:06 2016  estimated available RAM is 32739.1 MB
Mon Feb 29 23:48:06 2016  commencing duplicate removal, pass 1
Mon Feb 29 23:48:55 2016  error -1 reading relation 2692604
Mon Feb 29 23:48:56 2016  error -9 reading relation 2725904
Mon Feb 29 23:48:56 2016  error -15 reading relation 2743032
Tue Mar 01 00:55:34 2016  skipped 421 relations with b > 2^32
Tue Mar 01 00:55:34 2016  skipped 2 relations with composite factors
Tue Mar 01 00:55:34 2016  found 46094524 hash collisions in 218194503 relations
Tue Mar 01 00:56:04 2016  commencing duplicate removal, pass 2
Tue Mar 01 01:02:14 2016  found 47209293 duplicates and 170985210 unique relations
Tue Mar 01 01:02:14 2016  memory use: 1321.5 MB
Tue Mar 01 01:02:14 2016  reading ideals above 172425216
Tue Mar 01 01:02:14 2016  commencing singleton removal, initial pass
Tue Mar 01 01:42:08 2016  memory use: 3012.0 MB
Tue Mar 01 01:42:08 2016  reading all ideals from disk
Tue Mar 01 01:42:10 2016  memory use: 2869.4 MB
Tue Mar 01 01:42:18 2016  commencing in-memory singleton removal
Tue Mar 01 01:42:26 2016  begin with 170985210 relations and 150201435 unique ideals
Tue Mar 01 01:44:05 2016  reduce to 95093963 relations and 64814420 ideals in 17 passes
Tue Mar 01 01:44:05 2016  max relations containing the same ideal: 31
Tue Mar 01 01:44:14 2016  reading ideals above 720000
Tue Mar 01 01:44:15 2016  commencing singleton removal, initial pass
Tue Mar 01 02:12:20 2016  memory use: 2756.0 MB
Tue Mar 01 02:12:20 2016  reading all ideals from disk
Tue Mar 01 02:12:23 2016  memory use: 3743.6 MB
Tue Mar 01 02:12:39 2016  keeping 83576809 ideals with weight <= 200, target excess is 492257
Tue Mar 01 02:12:54 2016  commencing in-memory singleton removal
Tue Mar 01 02:13:06 2016  begin with 95093963 relations and 83576809 unique ideals
Tue Mar 01 02:15:26 2016  reduce to 95023169 relations and 83505953 ideals in 12 passes
Tue Mar 01 02:15:26 2016  max relations containing the same ideal: 200
Tue Mar 01 02:16:30 2016  removing 12165373 relations and 10165373 ideals in 2000000 cliques
Tue Mar 01 02:16:34 2016  commencing in-memory singleton removal
Tue Mar 01 02:16:44 2016  begin with 82857796 relations and 83505953 unique ideals
Tue Mar 01 02:18:18 2016  reduce to 81713865 relations and 72166280 ideals in 9 passes
Tue Mar 01 02:18:18 2016  max relations containing the same ideal: 190
Tue Mar 01 02:19:26 2016  removing 9197660 relations and 7197660 ideals in 2000000 cliques
Tue Mar 01 02:19:29 2016  commencing in-memory singleton removal
Tue Mar 01 02:19:38 2016  begin with 72516205 relations and 72166280 unique ideals
Tue Mar 01 02:20:56 2016  reduce to 71750299 relations and 64183716 ideals in 9 passes
Tue Mar 01 02:20:56 2016  max relations containing the same ideal: 175
Tue Mar 01 02:21:45 2016  removing 8278336 relations and 6278336 ideals in 2000000 cliques
Tue Mar 01 02:21:48 2016  commencing in-memory singleton removal
Tue Mar 01 02:21:56 2016  begin with 63471963 relations and 64183716 unique ideals
Tue Mar 01 02:23:04 2016  reduce to 62771869 relations and 57187387 ideals in 9 passes
Tue Mar 01 02:23:04 2016  max relations containing the same ideal: 161
Tue Mar 01 02:23:46 2016  removing 7804577 relations and 5804577 ideals in 2000000 cliques
Tue Mar 01 02:23:48 2016  commencing in-memory singleton removal
Tue Mar 01 02:23:55 2016  begin with 54967292 relations and 57187387 unique ideals
Tue Mar 01 02:25:06 2016  reduce to 54273239 relations and 50669163 ideals in 9 passes
Tue Mar 01 02:25:06 2016  max relations containing the same ideal: 147
Tue Mar 01 02:25:43 2016  removing 7515815 relations and 5515815 ideals in 2000000 cliques
Tue Mar 01 02:25:45 2016  commencing in-memory singleton removal
Tue Mar 01 02:25:51 2016  begin with 46757424 relations and 50669163 unique ideals
Tue Mar 01 02:26:39 2016  reduce to 46018979 relations and 44391257 ideals in 9 passes
Tue Mar 01 02:26:39 2016  max relations containing the same ideal: 133
Tue Mar 01 02:27:10 2016  removing 4428403 relations and 3371700 ideals in 1056703 cliques
Tue Mar 01 02:27:12 2016  commencing in-memory singleton removal
Tue Mar 01 02:27:17 2016  begin with 41590576 relations and 44391257 unique ideals
Tue Mar 01 02:27:55 2016  reduce to 41301368 relations and 40724493 ideals in 8 passes
Tue Mar 01 02:27:55 2016  max relations containing the same ideal: 124
Tue Mar 01 02:28:31 2016  relations with 0 large ideals: 18806
Tue Mar 01 02:28:31 2016  relations with 1 large ideals: 4164
Tue Mar 01 02:28:31 2016  relations with 2 large ideals: 59868
Tue Mar 01 02:28:31 2016  relations with 3 large ideals: 487031
Tue Mar 01 02:28:31 2016  relations with 4 large ideals: 2186597
Tue Mar 01 02:28:31 2016  relations with 5 large ideals: 5897443
Tue Mar 01 02:28:31 2016  relations with 6 large ideals: 9994356
Tue Mar 01 02:28:31 2016  relations with 7+ large ideals: 22653103
Tue Mar 01 02:28:31 2016  commencing 2-way merge
Tue Mar 01 02:29:08 2016  reduce to 26913835 relation sets and 26336960 unique ideals
Tue Mar 01 02:29:08 2016  commencing full merge
Tue Mar 01 02:45:30 2016  memory use: 3451.7 MB
Tue Mar 01 02:45:35 2016  found 12291548 cycles, need 12275160
Tue Mar 01 02:45:36 2016  weight of 12275160 cycles is about 1375533055 (112.06/cycle)
Tue Mar 01 02:45:36 2016  distribution of cycle lengths:
Tue Mar 01 02:45:36 2016  1 relations: 595238
Tue Mar 01 02:45:36 2016  2 relations: 826496
Tue Mar 01 02:45:36 2016  3 relations: 952066
Tue Mar 01 02:45:36 2016  4 relations: 969944
Tue Mar 01 02:45:36 2016  5 relations: 969144
Tue Mar 01 02:45:36 2016  6 relations: 939639
Tue Mar 01 02:45:36 2016  7 relations: 894141
Tue Mar 01 02:45:36 2016  8 relations: 839573
Tue Mar 01 02:45:36 2016  9 relations: 779602
Tue Mar 01 02:45:36 2016  10+ relations: 4509317
Tue Mar 01 02:45:36 2016  heaviest cycle: 28 relations
Tue Mar 01 02:45:40 2016  commencing cycle optimization
Tue Mar 01 02:46:07 2016  start with 103759097 relations
Tue Mar 01 02:52:42 2016  pruned 4267790 relations
Tue Mar 01 02:52:42 2016  memory use: 2790.0 MB
Tue Mar 01 02:52:42 2016  distribution of cycle lengths:
Tue Mar 01 02:52:42 2016  1 relations: 595238
Tue Mar 01 02:52:42 2016  2 relations: 846003
Tue Mar 01 02:52:42 2016  3 relations: 991731
Tue Mar 01 02:52:42 2016  4 relations: 1007258
Tue Mar 01 02:52:42 2016  5 relations: 1012978
Tue Mar 01 02:52:42 2016  6 relations: 978106
Tue Mar 01 02:52:42 2016  7 relations: 932645
Tue Mar 01 02:52:42 2016  8 relations: 871368
Tue Mar 01 02:52:42 2016  9 relations: 805187
Tue Mar 01 02:52:42 2016  10+ relations: 4234646
Tue Mar 01 02:52:42 2016  heaviest cycle: 28 relations
Tue Mar 01 02:53:18 2016  RelProcTime: 11112
Tue Mar 01 02:53:18 2016  elapsed time 03:05:14
Tue Mar  1 02:53:45 2016  
Tue Mar  1 02:53:45 2016  
Tue Mar  1 02:53:45 2016  Msieve v. 1.53 (SVN 975)
Tue Mar  1 02:53:45 2016  random seeds: 31a2e660 45be5df9
Tue Mar  1 02:53:45 2016  MPI process 0 of 2
Tue Mar  1 02:53:45 2016  factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits)
Tue Mar  1 02:53:47 2016  no P-1/P+1/ECM available, skipping
Tue Mar  1 02:53:47 2016  commencing number field sieve (246-digit input)
Tue Mar  1 02:53:47 2016  R0: -100000000000000000000000000000000000000000
Tue Mar  1 02:53:47 2016  R1: 1
Tue Mar  1 02:53:47 2016  A0: -1
Tue Mar  1 02:53:47 2016  A1: 0
Tue Mar  1 02:53:47 2016  A2: 0
Tue Mar  1 02:53:47 2016  A3: -60
Tue Mar  1 02:53:47 2016  A4: 0
Tue Mar  1 02:53:47 2016  A5: 0
Tue Mar  1 02:53:47 2016  A6: 1000
Tue Mar  1 02:53:47 2016  skew 1.00, size 2.551e-12, alpha 0.082, combined = 2.259e-13 rroots = 2
Tue Mar  1 02:53:47 2016  
Tue Mar  1 02:53:47 2016  commencing linear algebra
Tue Mar  1 02:53:47 2016  initialized process (0,0) of 1 x 2 grid
Tue Mar  1 02:53:54 2016  read 12275160 cycles
Tue Mar  1 02:54:27 2016  cycles contain 40913225 unique relations
Tue Mar  1 03:06:20 2016  read 40913225 relations
Tue Mar  1 03:07:57 2016  using 20 quadratic characters above 2147483124
Tue Mar  1 03:11:44 2016  building initial matrix
Tue Mar  1 03:22:36 2016  memory use: 5466.1 MB
Tue Mar  1 03:23:01 2016  read 12275160 cycles
Tue Mar  1 03:23:04 2016  matrix is 12274983 x 12275160 (5447.3 MB) with weight 1601410430 (130.46/col)
Tue Mar  1 03:23:04 2016  sparse part has weight 1292962168 (105.33/col)
Tue Mar  1 03:27:07 2016  filtering completed in 2 passes
Tue Mar  1 03:27:11 2016  matrix is 12274831 x 12275008 (5447.3 MB) with weight 1601404931 (130.46/col)
Tue Mar  1 03:27:11 2016  sparse part has weight 1292960526 (105.33/col)
Tue Mar  1 03:28:13 2016  matrix starts at (0, 0)
Tue Mar  1 03:28:14 2016  matrix is 12274831 x 6137500 (2723.7 MB) with weight 800703514 (130.46/col)
Tue Mar  1 03:28:14 2016  sparse part has weight 646480419 (105.33/col)
Tue Mar  1 03:28:14 2016  saving the first 48 matrix rows for later
Tue Mar  1 03:28:16 2016  matrix includes 64 packed rows
Tue Mar  1 03:28:18 2016  matrix is 12274783 x 6137500 (2626.4 MB) with weight 678736272 (110.59/col)
Tue Mar  1 03:28:18 2016  sparse part has weight 627116255 (102.18/col)
Tue Mar  1 03:28:18 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Mar  1 03:29:07 2016  commencing Lanczos iteration (6 threads)
Tue Mar  1 03:29:07 2016  memory use: 2280.7 MB
Tue Mar  1 03:29:39 2016  linear algebra at 0.0%, ETA 67h27m
Tue Mar  1 03:29:49 2016  checkpointing every 190000 dimensions
Thu Mar  3 21:40:17 2016  lanczos halted after 194109 iterations (dim = 12274781)
Thu Mar  3 21:40:32 2016  recovered 36 nontrivial dependencies
Thu Mar  3 21:40:33 2016  BLanczosTime: 240406
Thu Mar  3 21:40:33 2016  elapsed time 66:46:48
Tue Mar  1 02:53:45 2016  
Tue Mar  1 02:53:45 2016  
Tue Mar  1 02:53:45 2016  Msieve v. 1.53 (SVN 975)
Tue Mar  1 02:53:45 2016  random seeds: fa572d33 ab131f75
Tue Mar  1 02:53:45 2016  MPI process 1 of 2
Tue Mar  1 02:53:45 2016  factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits)
Tue Mar  1 02:53:47 2016  no P-1/P+1/ECM available, skipping
Tue Mar  1 02:53:47 2016  commencing number field sieve (246-digit input)
Tue Mar  1 02:53:47 2016  R0: -100000000000000000000000000000000000000000
Tue Mar  1 02:53:47 2016  R1: 1
Tue Mar  1 02:53:47 2016  A0: -1
Tue Mar  1 02:53:47 2016  A1: 0
Tue Mar  1 02:53:47 2016  A2: 0
Tue Mar  1 02:53:47 2016  A3: -60
Tue Mar  1 02:53:47 2016  A4: 0
Tue Mar  1 02:53:47 2016  A5: 0
Tue Mar  1 02:53:47 2016  A6: 1000
Tue Mar  1 02:53:47 2016  skew 1.00, size 2.551e-12, alpha 0.082, combined = 2.259e-13 rroots = 2
Tue Mar  1 02:53:47 2016  
Tue Mar  1 02:53:47 2016  commencing linear algebra
Tue Mar  1 02:53:47 2016  initialized process (0,1) of 1 x 2 grid
Tue Mar  1 03:28:13 2016  matrix starts at (0, 6137500)
Tue Mar  1 03:28:15 2016  matrix is 12274831 x 6137508 (2723.7 MB) with weight 800701417 (130.46/col)
Tue Mar  1 03:28:15 2016  sparse part has weight 646480107 (105.33/col)
Tue Mar  1 03:28:15 2016  saving the first 48 matrix rows for later
Tue Mar  1 03:28:17 2016  matrix includes 64 packed rows
Tue Mar  1 03:28:18 2016  matrix is 12274783 x 6137508 (2626.4 MB) with weight 678745224 (110.59/col)
Tue Mar  1 03:28:18 2016  sparse part has weight 627112113 (102.18/col)
Tue Mar  1 03:28:18 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Mar  1 03:29:08 2016  commencing Lanczos iteration (6 threads)
Tue Mar  1 03:29:08 2016  memory use: 2280.7 MB
Thu Mar  3 21:40:17 2016  lanczos halted after 194109 iterations (dim = 12274781)
Thu Mar  3 21:40:18 2016  lanczos error: only trivial dependencies found
Thu Mar  3 21:40:19 2016  BLanczosTime: 240392
Thu Mar  3 21:40:19 2016  elapsed time 66:46:34
Thu Mar 03 21:40:45 2016  
Thu Mar 03 21:40:45 2016  
Thu Mar 03 21:40:45 2016  Msieve v. 1.53 (SVN 983M)
Thu Mar 03 21:40:45 2016  random seeds: fc3a5004 dde83acb
Thu Mar 03 21:40:45 2016  factoring 176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263000176263000176273576590869028732592984311651683412656442799224396263000176273576590869028732592984311651683412656442799224396263 (246 digits)
Thu Mar 03 21:40:48 2016  no P-1/P+1/ECM available, skipping
Thu Mar 03 21:40:48 2016  commencing number field sieve (246-digit input)
Thu Mar 03 21:40:48 2016  R0: -100000000000000000000000000000000000000000
Thu Mar 03 21:40:48 2016  R1: 1
Thu Mar 03 21:40:48 2016  A0: -1
Thu Mar 03 21:40:48 2016  A1: 0
Thu Mar 03 21:40:48 2016  A2: 0
Thu Mar 03 21:40:48 2016  A3: -60
Thu Mar 03 21:40:48 2016  A4: 0
Thu Mar 03 21:40:48 2016  A5: 0
Thu Mar 03 21:40:48 2016  A6: 1000
Thu Mar 03 21:40:48 2016  skew 1.00, size 2.551e-012, alpha 0.082, combined = 2.259e-013 rroots = 2
Thu Mar 03 21:40:48 2016  
Thu Mar 03 21:40:48 2016  commencing square root phase
Thu Mar 03 21:40:48 2016  reading relations for dependency 1
Thu Mar 03 21:40:52 2016  read 6140432 cycles
Thu Mar 03 21:41:08 2016  cycles contain 20463282 unique relations
Thu Mar 03 21:49:43 2016  read 20463282 relations
Thu Mar 03 21:52:16 2016  multiplying 20463282 relations
Thu Mar 03 22:21:49 2016  multiply complete, coefficients have about 703.88 million bits
Thu Mar 03 22:21:55 2016  initial square root is modulo 2064653
Thu Mar 03 22:54:49 2016  GCD is N, no factor found
Thu Mar 03 22:54:49 2016  reading relations for dependency 2
Thu Mar 03 22:54:53 2016  read 6138735 cycles
Thu Mar 03 22:55:09 2016  cycles contain 20462370 unique relations
Thu Mar 03 23:03:44 2016  read 20462370 relations
Thu Mar 03 23:06:17 2016  multiplying 20462370 relations
Thu Mar 03 23:35:41 2016  multiply complete, coefficients have about 703.85 million bits
Thu Mar 03 23:35:48 2016  initial square root is modulo 2063423
Fri Mar 04 00:08:33 2016  GCD is N, no factor found
Fri Mar 04 00:08:33 2016  reading relations for dependency 3
Fri Mar 04 00:08:37 2016  read 6135052 cycles
Fri Mar 04 00:08:53 2016  cycles contain 20448514 unique relations
Fri Mar 04 00:17:28 2016  read 20448514 relations
Fri Mar 04 00:20:09 2016  multiplying 20448514 relations
Fri Mar 04 00:49:37 2016  multiply complete, coefficients have about 703.38 million bits
Fri Mar 04 00:49:43 2016  initial square root is modulo 2043401
Fri Mar 04 01:22:38 2016  sqrtTime: 13310
Fri Mar 04 01:22:38 2016  p67 factor: 3122869965450586149602388209635563015039996398669809521615568270969
Fri Mar 04 01:22:38 2016  p179 factor: 56446018739507533253429601119158996441320461779035094294104955989328665961081191823215573184521535202273283282298493461184647728233866474823852300590884410508485837034967839832927
Fri Mar 04 01:22:38 2016  elapsed time 03:41:53

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e633181000Dmitry DomanovJanuary 10, 2012 09:14:05 UTC 2012 年 1 月 10 日 (火) 18 時 14 分 5 秒 (日本時間)
2318Wataru SakaiJanuary 11, 2012 06:16:25 UTC 2012 年 1 月 11 日 (水) 15 時 16 分 25 秒 (日本時間)
4511e60--
5043e61090400Dmitry DomanovMarch 7, 2012 06:58:18 UTC 2012 年 3 月 7 日 (水) 15 時 58 分 18 秒 (日本時間)
440Dmitry DomanovMarch 14, 2012 20:01:06 UTC 2012 年 3 月 15 日 (木) 5 時 1 分 6 秒 (日本時間)
250Dmitry DomanovMay 11, 2012 20:42:16 UTC 2012 年 5 月 12 日 (土) 5 時 42 分 16 秒 (日本時間)
5511e7206502640yoyo@homeApril 12, 2013 19:40:06 UTC 2013 年 4 月 13 日 (土) 4 時 40 分 6 秒 (日本時間)
1KTakahashiMarch 22, 2014 07:17:52 UTC 2014 年 3 月 22 日 (土) 16 時 17 分 52 秒 (日本時間)
18009Youcef LemsaferJanuary 24, 2016 17:55:16 UTC 2016 年 1 月 25 日 (月) 2 時 55 分 16 秒 (日本時間)

10251-6×10125-13

c200

name 名前Dmitry Domanov
date 日付January 6, 2012 11:52:05 UTC 2012 年 1 月 6 日 (金) 20 時 52 分 5 秒 (日本時間)
composite number 合成数
13919220907322915368343077234812506333185842896176920746377678219931928803118274413154740298399523384569115937241620796293199063715371565889101117339465802414429966918448808493752007178476055046385721<200>
prime factors 素因数
337768663506391844060193734515657<33>
41209331744475199801972157553967089323903047177108318487850766043579670915315980831595331677649092252313346215727582132217453623901657068180331657293696481500936128753<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1154935958
Step 1 took 27458ms
Step 2 took 9924ms
********** Factor found in step 2: 337768663506391844060193734515657
Found probable prime factor of 33 digits: 337768663506391844060193734515657

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)

10253-6×10126-13

c197

name 名前Dmitry Domanov
date 日付January 6, 2012 08:49:29 UTC 2012 年 1 月 6 日 (金) 17 時 49 分 29 秒 (日本時間)
composite number 合成数
58908529498948487535286734622018325817340925692863188126052277670735224718870391025341025682089751812607236064238712307025477675275606226912399793166990104004015757958197170327783536360677696044377<197>
prime factors 素因数
106072788518360189453752036432091<33>
555359487779959533398219173284349122405074527346301857758411121123552602478134291122707602475697812014169231416441184222601887483942867342761549898744245199604797147<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3413643802
Step 1 took 27429ms
Step 2 took 9909ms
********** Factor found in step 2: 106072788518360189453752036432091
Found probable prime factor of 33 digits: 106072788518360189453752036432091

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)

10255-6×10127-13

c249

name 名前Youcef Lemsafer
date 日付June 30, 2016 06:56:26 UTC 2016 年 6 月 30 日 (木) 15 時 56 分 26 秒 (日本時間)
composite number 合成数
348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103<249>
prime factors 素因数
14494087233323167828660550507887542252859347344543924071272220585015750203619472177686008910864614282267579627938545510781<122>
24071194235204587288433731990296295840306023226993934804629626681237700848449092034240892649774789438442527466935590532303064963<128>
factorization results 素因数分解の結果
<Parameters used:>
#
# 33133_127, C249, SNFS_diff=255
# f(X)=1000*X^6-60*X^3-1
# g(X)=X-10^42
#
n: 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103
Y0: -1000000000000000000000000000000000000000000
Y1: 1
deg: 6
c6: 1000
c3: -60
c0: -1
skew: 0.316
type: snfs
rlim: 120000000
alim: 120000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7

<Sieving done with gnfs-lasieve4I15e -r from 20e6 to 130e6 took approx. 18375 thread.hours.>
<Post-processing on dual Intel Xeon E5-2620 @2.0GHz (32GB RAM) running Windows 7 Pro 64-bit:>

Mon Jun 27 21:02:22 2016  
Mon Jun 27 21:02:22 2016  
Mon Jun 27 21:02:22 2016  Msieve v. 1.53 (SVN 983M)
Mon Jun 27 21:02:22 2016  random seeds: f9118428 c35dd808
Mon Jun 27 21:02:22 2016  factoring 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 (249 digits)
Mon Jun 27 21:02:25 2016  no P-1/P+1/ECM available, skipping
Mon Jun 27 21:02:25 2016  commencing number field sieve (249-digit input)
Mon Jun 27 21:02:25 2016  R0: -1000000000000000000000000000000000000000000
Mon Jun 27 21:02:25 2016  R1: 1
Mon Jun 27 21:02:25 2016  A0: -1
Mon Jun 27 21:02:25 2016  A1: 0
Mon Jun 27 21:02:25 2016  A2: 0
Mon Jun 27 21:02:25 2016  A3: -60
Mon Jun 27 21:02:25 2016  A4: 0
Mon Jun 27 21:02:25 2016  A5: 0
Mon Jun 27 21:02:25 2016  A6: 1000
Mon Jun 27 21:02:25 2016  skew 1.00, size 1.321e-012, alpha 0.082, combined = 1.384e-013 rroots = 2
Mon Jun 27 21:02:25 2016  
Mon Jun 27 21:02:25 2016  commencing relation filtering
Mon Jun 27 21:02:25 2016  setting target matrix density to 116.0
Mon Jun 27 21:02:25 2016  estimated available RAM is 32739.1 MB
Mon Jun 27 21:02:25 2016  commencing duplicate removal, pass 1
Mon Jun 27 22:13:58 2016  skipped 1990 relations with b > 2^32
Mon Jun 27 22:13:58 2016  found 42260349 hash collisions in 224022612 relations
Mon Jun 27 22:14:39 2016  added 1218646 free relations
Mon Jun 27 22:14:39 2016  commencing duplicate removal, pass 2
Mon Jun 27 22:21:09 2016  found 40830347 duplicates and 184410911 unique relations
Mon Jun 27 22:21:09 2016  memory use: 1321.5 MB
Mon Jun 27 22:21:09 2016  reading ideals above 129957888
Mon Jun 27 22:21:09 2016  commencing singleton removal, initial pass
Mon Jun 27 23:05:35 2016  memory use: 3012.0 MB
Mon Jun 27 23:05:35 2016  reading all ideals from disk
Mon Jun 27 23:05:37 2016  memory use: 3215.3 MB
Mon Jun 27 23:05:48 2016  commencing in-memory singleton removal
Mon Jun 27 23:05:59 2016  begin with 184410911 relations and 159231718 unique ideals
Mon Jun 27 23:08:21 2016  reduce to 113636146 relations and 80702317 ideals in 16 passes
Mon Jun 27 23:08:21 2016  max relations containing the same ideal: 37
Mon Jun 27 23:08:34 2016  reading ideals above 720000
Mon Jun 27 23:08:35 2016  commencing singleton removal, initial pass
Mon Jun 27 23:43:24 2016  memory use: 2756.0 MB
Mon Jun 27 23:43:24 2016  reading all ideals from disk
Mon Jun 27 23:43:28 2016  memory use: 4593.7 MB
Mon Jun 27 23:43:51 2016  keeping 94837394 ideals with weight <= 200, target excess is 616665
Mon Jun 27 23:44:12 2016  commencing in-memory singleton removal
Mon Jun 27 23:44:30 2016  begin with 113636147 relations and 94837394 unique ideals
Mon Jun 27 23:46:30 2016  reduce to 113634360 relations and 94835607 ideals in 7 passes
Mon Jun 27 23:46:30 2016  max relations containing the same ideal: 200
Mon Jun 27 23:48:04 2016  removing 11414940 relations and 9414940 ideals in 2000000 cliques
Mon Jun 27 23:48:08 2016  commencing in-memory singleton removal
Mon Jun 27 23:48:23 2016  begin with 102219420 relations and 94835607 unique ideals
Mon Jun 27 23:50:36 2016  reduce to 101381527 relations and 84564661 ideals in 9 passes
Mon Jun 27 23:50:36 2016  max relations containing the same ideal: 194
Mon Jun 27 23:51:53 2016  removing 8674337 relations and 6674337 ideals in 2000000 cliques
Mon Jun 27 23:51:56 2016  commencing in-memory singleton removal
Mon Jun 27 23:52:10 2016  begin with 92707190 relations and 84564661 unique ideals
Mon Jun 27 23:53:56 2016  reduce to 92141661 relations and 77313728 ideals in 8 passes
Mon Jun 27 23:53:56 2016  max relations containing the same ideal: 183
Mon Jun 27 23:55:06 2016  removing 7858012 relations and 5858012 ideals in 2000000 cliques
Mon Jun 27 23:55:10 2016  commencing in-memory singleton removal
Mon Jun 27 23:55:22 2016  begin with 84283649 relations and 77313728 unique ideals
Mon Jun 27 23:57:08 2016  reduce to 83773618 relations and 70935618 ideals in 9 passes
Mon Jun 27 23:57:08 2016  max relations containing the same ideal: 175
Mon Jun 27 23:58:12 2016  removing 7454995 relations and 5454995 ideals in 2000000 cliques
Mon Jun 27 23:58:15 2016  commencing in-memory singleton removal
Mon Jun 27 23:58:26 2016  begin with 76318623 relations and 70935618 unique ideals
Mon Jun 27 23:59:53 2016  reduce to 75823255 relations and 64974744 ideals in 8 passes
Mon Jun 27 23:59:53 2016  max relations containing the same ideal: 165
Tue Jun 28 00:00:49 2016  removing 7217949 relations and 5217949 ideals in 2000000 cliques
Tue Jun 28 00:00:52 2016  commencing in-memory singleton removal
Tue Jun 28 00:01:03 2016  begin with 68605306 relations and 64974744 unique ideals
Tue Jun 28 00:02:15 2016  reduce to 68100872 relations and 59240933 ideals in 7 passes
Tue Jun 28 00:02:15 2016  max relations containing the same ideal: 151
Tue Jun 28 00:03:12 2016  removing 7072991 relations and 5072991 ideals in 2000000 cliques
Tue Jun 28 00:03:15 2016  commencing in-memory singleton removal
Tue Jun 28 00:03:24 2016  begin with 61027881 relations and 59240933 unique ideals
Tue Jun 28 00:04:45 2016  reduce to 60498874 relations and 53625689 ideals in 9 passes
Tue Jun 28 00:04:45 2016  max relations containing the same ideal: 143
Tue Jun 28 00:05:33 2016  removing 6991779 relations and 4991779 ideals in 2000000 cliques
Tue Jun 28 00:05:36 2016  commencing in-memory singleton removal
Tue Jun 28 00:05:43 2016  begin with 53507095 relations and 53625689 unique ideals
Tue Jun 28 00:06:42 2016  reduce to 52937489 relations and 48048554 ideals in 8 passes
Tue Jun 28 00:06:42 2016  max relations containing the same ideal: 126
Tue Jun 28 00:07:23 2016  removing 6943224 relations and 4943224 ideals in 2000000 cliques
Tue Jun 28 00:07:25 2016  commencing in-memory singleton removal
Tue Jun 28 00:07:32 2016  begin with 45994265 relations and 48048554 unique ideals
Tue Jun 28 00:08:27 2016  reduce to 45358922 relations and 42449785 ideals in 9 passes
Tue Jun 28 00:08:27 2016  max relations containing the same ideal: 114
Tue Jun 28 00:09:03 2016  removing 6932475 relations and 4932475 ideals in 2000000 cliques
Tue Jun 28 00:09:05 2016  commencing in-memory singleton removal
Tue Jun 28 00:09:11 2016  begin with 38426447 relations and 42449785 unique ideals
Tue Jun 28 00:09:56 2016  reduce to 37684905 relations and 36748507 ideals in 9 passes
Tue Jun 28 00:09:56 2016  max relations containing the same ideal: 102
Tue Jun 28 00:10:26 2016  removing 1183344 relations and 962278 ideals in 221066 cliques
Tue Jun 28 00:10:27 2016  commencing in-memory singleton removal
Tue Jun 28 00:10:32 2016  begin with 36501561 relations and 36748507 unique ideals
Tue Jun 28 00:11:01 2016  reduce to 36478292 relations and 35762817 ideals in 6 passes
Tue Jun 28 00:11:01 2016  max relations containing the same ideal: 96
Tue Jun 28 00:11:38 2016  relations with 0 large ideals: 23643
Tue Jun 28 00:11:38 2016  relations with 1 large ideals: 5168
Tue Jun 28 00:11:38 2016  relations with 2 large ideals: 71227
Tue Jun 28 00:11:38 2016  relations with 3 large ideals: 547530
Tue Jun 28 00:11:38 2016  relations with 4 large ideals: 2287931
Tue Jun 28 00:11:38 2016  relations with 5 large ideals: 5744871
Tue Jun 28 00:11:38 2016  relations with 6 large ideals: 9063521
Tue Jun 28 00:11:38 2016  relations with 7+ large ideals: 18734401
Tue Jun 28 00:11:38 2016  commencing 2-way merge
Tue Jun 28 00:12:16 2016  reduce to 23541002 relation sets and 22825527 unique ideals
Tue Jun 28 00:12:16 2016  commencing full merge
Tue Jun 28 00:27:56 2016  memory use: 3163.5 MB
Tue Jun 28 00:28:02 2016  found 10889062 cycles, need 10837727
Tue Jun 28 00:28:03 2016  weight of 10837727 cycles is about 1257283122 (116.01/cycle)
Tue Jun 28 00:28:03 2016  distribution of cycle lengths:
Tue Jun 28 00:28:03 2016  1 relations: 548805
Tue Jun 28 00:28:03 2016  2 relations: 704559
Tue Jun 28 00:28:03 2016  3 relations: 803222
Tue Jun 28 00:28:03 2016  4 relations: 822725
Tue Jun 28 00:28:03 2016  5 relations: 838849
Tue Jun 28 00:28:03 2016  6 relations: 823005
Tue Jun 28 00:28:03 2016  7 relations: 801597
Tue Jun 28 00:28:03 2016  8 relations: 758727
Tue Jun 28 00:28:03 2016  9 relations: 707639
Tue Jun 28 00:28:03 2016  10+ relations: 4028599
Tue Jun 28 00:28:03 2016  heaviest cycle: 28 relations
Tue Jun 28 00:28:07 2016  commencing cycle optimization
Tue Jun 28 00:28:33 2016  start with 91579131 relations
Tue Jun 28 00:34:47 2016  pruned 4022897 relations
Tue Jun 28 00:34:47 2016  memory use: 2458.7 MB
Tue Jun 28 00:34:47 2016  distribution of cycle lengths:
Tue Jun 28 00:34:47 2016  1 relations: 548805
Tue Jun 28 00:34:47 2016  2 relations: 721107
Tue Jun 28 00:34:47 2016  3 relations: 835863
Tue Jun 28 00:34:47 2016  4 relations: 855956
Tue Jun 28 00:34:47 2016  5 relations: 879254
Tue Jun 28 00:34:47 2016  6 relations: 861365
Tue Jun 28 00:34:47 2016  7 relations: 842265
Tue Jun 28 00:34:47 2016  8 relations: 792908
Tue Jun 28 00:34:47 2016  9 relations: 736834
Tue Jun 28 00:34:47 2016  10+ relations: 3763370
Tue Jun 28 00:34:47 2016  heaviest cycle: 28 relations
Tue Jun 28 00:35:19 2016  RelProcTime: 12774
Tue Jun 28 00:35:19 2016  elapsed time 03:32:57
Tue Jun 28 00:35:25 2016  
Tue Jun 28 00:35:25 2016  
Tue Jun 28 00:35:25 2016  Msieve v. 1.53 (SVN 975)
Tue Jun 28 00:35:25 2016  random seeds: 15125d90 6c54abf8
Tue Jun 28 00:35:25 2016  MPI process 0 of 2
Tue Jun 28 00:35:25 2016  factoring 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 (249 digits)
Tue Jun 28 00:35:27 2016  no P-1/P+1/ECM available, skipping
Tue Jun 28 00:35:27 2016  commencing number field sieve (249-digit input)
Tue Jun 28 00:35:27 2016  R0: -1000000000000000000000000000000000000000000
Tue Jun 28 00:35:27 2016  R1: 1
Tue Jun 28 00:35:27 2016  A0: -1
Tue Jun 28 00:35:27 2016  A1: 0
Tue Jun 28 00:35:27 2016  A2: 0
Tue Jun 28 00:35:27 2016  A3: -60
Tue Jun 28 00:35:27 2016  A4: 0
Tue Jun 28 00:35:27 2016  A5: 0
Tue Jun 28 00:35:27 2016  A6: 1000
Tue Jun 28 00:35:27 2016  skew 1.00, size 1.321e-12, alpha 0.082, combined = 1.384e-13 rroots = 2
Tue Jun 28 00:35:27 2016  
Tue Jun 28 00:35:27 2016  commencing linear algebra
Tue Jun 28 00:35:27 2016  initialized process (0,0) of 1 x 2 grid
Tue Jun 28 00:35:33 2016  read 10837727 cycles
Tue Jun 28 00:36:04 2016  cycles contain 36103409 unique relations
Tue Jun 28 00:48:00 2016  read 36103409 relations
Tue Jun 28 00:49:28 2016  using 20 quadratic characters above 2147482802
Tue Jun 28 00:53:00 2016  building initial matrix
Tue Jun 28 01:03:01 2016  memory use: 4923.2 MB
Tue Jun 28 01:03:24 2016  read 10837727 cycles
Tue Jun 28 01:03:27 2016  matrix is 10837550 x 10837727 (4945.3 MB) with weight 1446696023 (133.49/col)
Tue Jun 28 01:03:27 2016  sparse part has weight 1177160036 (108.62/col)
Tue Jun 28 01:07:14 2016  filtering completed in 2 passes
Tue Jun 28 01:07:17 2016  matrix is 10837362 x 10837539 (4945.3 MB) with weight 1446689257 (133.49/col)
Tue Jun 28 01:07:17 2016  sparse part has weight 1177157982 (108.62/col)
Tue Jun 28 01:08:13 2016  matrix starts at (0, 0)
Tue Jun 28 01:08:14 2016  matrix is 10837362 x 5418777 (2472.6 MB) with weight 723347166 (133.49/col)
Tue Jun 28 01:08:14 2016  sparse part has weight 588579157 (108.62/col)
Tue Jun 28 01:08:14 2016  saving the first 48 matrix rows for later
Tue Jun 28 01:08:16 2016  matrix includes 64 packed rows
Tue Jun 28 01:08:18 2016  matrix is 10837314 x 5418777 (2386.0 MB) with weight 616380574 (113.75/col)
Tue Jun 28 01:08:18 2016  sparse part has weight 571289217 (105.43/col)
Tue Jun 28 01:08:18 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Jun 28 01:09:03 2016  commencing Lanczos iteration (6 threads)
Tue Jun 28 01:09:03 2016  memory use: 2073.1 MB
Tue Jun 28 01:09:28 2016  linear algebra at 0.0%, ETA 47h27m
Tue Jun 28 01:09:36 2016  checkpointing every 230000 dimensions
Thu Jun 30 01:41:00 2016  lanczos halted after 171377 iterations (dim = 10837313)
Thu Jun 30 01:41:14 2016  recovered 37 nontrivial dependencies
Thu Jun 30 01:41:15 2016  BLanczosTime: 176748
Thu Jun 30 01:41:15 2016  elapsed time 49:05:50
Tue Jun 28 00:35:25 2016  
Tue Jun 28 00:35:25 2016  
Tue Jun 28 00:35:25 2016  Msieve v. 1.53 (SVN 975)
Tue Jun 28 00:35:25 2016  random seeds: a1545099 557d7001
Tue Jun 28 00:35:25 2016  MPI process 1 of 2
Tue Jun 28 00:35:25 2016  factoring 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 (249 digits)
Tue Jun 28 00:35:27 2016  no P-1/P+1/ECM available, skipping
Tue Jun 28 00:35:27 2016  commencing number field sieve (249-digit input)
Tue Jun 28 00:35:27 2016  R0: -1000000000000000000000000000000000000000000
Tue Jun 28 00:35:27 2016  R1: 1
Tue Jun 28 00:35:27 2016  A0: -1
Tue Jun 28 00:35:27 2016  A1: 0
Tue Jun 28 00:35:27 2016  A2: 0
Tue Jun 28 00:35:27 2016  A3: -60
Tue Jun 28 00:35:27 2016  A4: 0
Tue Jun 28 00:35:27 2016  A5: 0
Tue Jun 28 00:35:27 2016  A6: 1000
Tue Jun 28 00:35:27 2016  skew 1.00, size 1.321e-12, alpha 0.082, combined = 1.384e-13 rroots = 2
Tue Jun 28 00:35:27 2016  
Tue Jun 28 00:35:27 2016  commencing linear algebra
Tue Jun 28 00:35:27 2016  initialized process (0,1) of 1 x 2 grid
Tue Jun 28 01:08:14 2016  matrix starts at (0, 5418777)
Tue Jun 28 01:08:15 2016  matrix is 10837362 x 5418762 (2472.6 MB) with weight 723342091 (133.49/col)
Tue Jun 28 01:08:15 2016  sparse part has weight 588578825 (108.62/col)
Tue Jun 28 01:08:15 2016  saving the first 48 matrix rows for later
Tue Jun 28 01:08:17 2016  matrix includes 64 packed rows
Tue Jun 28 01:08:18 2016  matrix is 10837314 x 5418762 (2386.0 MB) with weight 616380403 (113.75/col)
Tue Jun 28 01:08:18 2016  sparse part has weight 571290263 (105.43/col)
Tue Jun 28 01:08:18 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Jun 28 01:09:02 2016  commencing Lanczos iteration (6 threads)
Tue Jun 28 01:09:02 2016  memory use: 2073.1 MB
Thu Jun 30 01:41:00 2016  lanczos halted after 171377 iterations (dim = 10837313)
Thu Jun 30 01:41:01 2016  lanczos error: only trivial dependencies found
Thu Jun 30 01:41:02 2016  BLanczosTime: 176735
Thu Jun 30 01:41:02 2016  elapsed time 49:05:37
Thu Jun 30 01:41:26 2016  
Thu Jun 30 01:41:26 2016  
Thu Jun 30 01:41:26 2016  Msieve v. 1.53 (SVN 983M)
Thu Jun 30 01:41:26 2016  random seeds: 9e74fc80 2d8db6dc
Thu Jun 30 01:41:26 2016  factoring 348889989055321043334578870594260829458037779901354844494498528207581170128178693079034398110690931267625486134588499957958756297900414934863983493316837814650797754404474444331636681316557307099597276285633442919678895609673044724556586990659866103 (249 digits)
Thu Jun 30 01:41:29 2016  no P-1/P+1/ECM available, skipping
Thu Jun 30 01:41:29 2016  commencing number field sieve (249-digit input)
Thu Jun 30 01:41:29 2016  R0: -1000000000000000000000000000000000000000000
Thu Jun 30 01:41:29 2016  R1: 1
Thu Jun 30 01:41:29 2016  A0: -1
Thu Jun 30 01:41:29 2016  A1: 0
Thu Jun 30 01:41:29 2016  A2: 0
Thu Jun 30 01:41:29 2016  A3: -60
Thu Jun 30 01:41:29 2016  A4: 0
Thu Jun 30 01:41:29 2016  A5: 0
Thu Jun 30 01:41:29 2016  A6: 1000
Thu Jun 30 01:41:29 2016  skew 1.00, size 1.321e-012, alpha 0.082, combined = 1.384e-013 rroots = 2
Thu Jun 30 01:41:29 2016  
Thu Jun 30 01:41:29 2016  commencing square root phase
Thu Jun 30 01:41:29 2016  reading relations for dependency 1
Thu Jun 30 01:41:33 2016  read 5418541 cycles
Thu Jun 30 01:41:46 2016  cycles contain 18052168 unique relations
Thu Jun 30 01:50:29 2016  read 18052168 relations
Thu Jun 30 01:52:58 2016  multiplying 18052168 relations
Thu Jun 30 02:20:16 2016  multiply complete, coefficients have about 633.64 million bits
Thu Jun 30 02:20:22 2016  initial square root is modulo 483929
Thu Jun 30 02:50:35 2016  GCD is N, no factor found
Thu Jun 30 02:50:35 2016  reading relations for dependency 2
Thu Jun 30 02:50:39 2016  read 5418463 cycles
Thu Jun 30 02:50:52 2016  cycles contain 18050972 unique relations
Thu Jun 30 02:59:31 2016  read 18050972 relations
Thu Jun 30 03:01:49 2016  multiplying 18050972 relations
Thu Jun 30 03:29:01 2016  multiply complete, coefficients have about 633.60 million bits
Thu Jun 30 03:29:07 2016  initial square root is modulo 483551
Thu Jun 30 03:59:40 2016  GCD is 1, no factor found
Thu Jun 30 03:59:40 2016  reading relations for dependency 3
Thu Jun 30 03:59:44 2016  read 5420339 cycles
Thu Jun 30 03:59:57 2016  cycles contain 18058696 unique relations
Thu Jun 30 04:08:39 2016  read 18058696 relations
Thu Jun 30 04:10:55 2016  multiplying 18058696 relations
Thu Jun 30 04:38:15 2016  multiply complete, coefficients have about 633.88 million bits
Thu Jun 30 04:38:21 2016  initial square root is modulo 486377
Thu Jun 30 05:08:59 2016  GCD is N, no factor found
Thu Jun 30 05:08:59 2016  reading relations for dependency 4
Thu Jun 30 05:09:03 2016  read 5417775 cycles
Thu Jun 30 05:09:16 2016  cycles contain 18050892 unique relations
Thu Jun 30 05:17:58 2016  read 18050892 relations
Thu Jun 30 05:20:19 2016  multiplying 18050892 relations
Thu Jun 30 05:47:42 2016  multiply complete, coefficients have about 633.60 million bits
Thu Jun 30 05:47:48 2016  initial square root is modulo 483551
Thu Jun 30 06:18:21 2016  GCD is N, no factor found
Thu Jun 30 06:18:21 2016  reading relations for dependency 5
Thu Jun 30 06:18:24 2016  read 5419954 cycles
Thu Jun 30 06:18:38 2016  cycles contain 18052660 unique relations
Thu Jun 30 06:27:18 2016  read 18052660 relations
Thu Jun 30 06:29:36 2016  multiplying 18052660 relations
Thu Jun 30 06:56:55 2016  multiply complete, coefficients have about 633.67 million bits
Thu Jun 30 06:57:01 2016  initial square root is modulo 484259
Thu Jun 30 07:27:32 2016  GCD is 1, no factor found
Thu Jun 30 07:27:32 2016  reading relations for dependency 6
Thu Jun 30 07:27:36 2016  read 5421674 cycles
Thu Jun 30 07:27:49 2016  cycles contain 18057670 unique relations
Thu Jun 30 07:36:30 2016  read 18057670 relations
Thu Jun 30 07:38:52 2016  multiplying 18057670 relations
Thu Jun 30 08:06:11 2016  multiply complete, coefficients have about 633.84 million bits
Thu Jun 30 08:06:17 2016  initial square root is modulo 485909
Thu Jun 30 08:36:59 2016  sqrtTime: 24930
Thu Jun 30 08:36:59 2016  p122 factor: 14494087233323167828660550507887542252859347344543924071272220585015750203619472177686008910864614282267579627938545510781
Thu Jun 30 08:36:59 2016  p128 factor: 24071194235204587288433731990296295840306023226993934804629626681237700848449092034240892649774789438442527466935590532303064963
Thu Jun 30 08:36:59 2016  elapsed time 06:55:33

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e620001000Dmitry DomanovJanuary 7, 2012 20:47:16 UTC 2012 年 1 月 8 日 (日) 5 時 47 分 16 秒 (日本時間)
1000Dmitry DomanovJanuary 10, 2012 09:14:31 UTC 2012 年 1 月 10 日 (火) 18 時 14 分 31 秒 (日本時間)
4511e6800Dmitry DomanovJanuary 11, 2012 13:37:16 UTC 2012 年 1 月 11 日 (水) 22 時 37 分 16 秒 (日本時間)
5043e6928Dmitry DomanovFebruary 5, 2012 19:48:21 UTC 2012 年 2 月 6 日 (月) 4 時 48 分 21 秒 (日本時間)
5511e7192292655yoyo@homeApril 12, 2013 19:50:16 UTC 2013 年 4 月 13 日 (土) 4 時 50 分 16 秒 (日本時間)
4KTakahashiMarch 22, 2014 08:38:32 UTC 2014 年 3 月 22 日 (土) 17 時 38 分 32 秒 (日本時間)
16570Youcef LemsaferMay 17, 2016 15:59:02 UTC 2016 年 5 月 18 日 (水) 0 時 59 分 2 秒 (日本時間)
6026e71360 / 34627Youcef LemsaferMay 24, 2016 15:20:59 UTC 2016 年 5 月 25 日 (水) 0 時 20 分 59 秒 (日本時間)

10263-6×10131-13

c214

name 名前Youcef Lemsafer
date 日付December 16, 2013 09:50:41 UTC 2013 年 12 月 16 日 (月) 18 時 50 分 41 秒 (日本時間)
composite number 合成数
1228086543041694958940090938324416266010212654282696005519337364156638080392332102145370200871400370735823442182735178080827045941881378967790463143698884382269941749888631895289582226139382349046635626159842010747<214>
prime factors 素因数
171460428270361797182702717224640849138587<42>
7162507147743890235373136712830678370987208732533515606481380264927478828197050247371257834843655415380729252989282650226051567952862908298054539340800464220918650246059681<172>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-gpu] [ECM]
Input number is (10^263-10^131*6-1)/(3*59*167*541*9043*16193*7123870703025173*4881217387691562809) (214 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Computing batch product (of zu bits) of primes below B1=0 took 0ms
GPU: compiled for a NVIDIA GPU with compute capability 3.0.
GPU: device 0 is required.
GPU: will use device 0: GeForce GTX 660, compute capability 3.0, 5 MPs.
GPU: Selection and initialization of the device took 32ms
Using B1=3000000, B2=0, sigma=3:3720291627-3:3720293066 (1440 curves)
dF=0, k=0, d=24, d2=0, i0=0
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
5388    51440   559187  6813685 9.3e+007        1.2e+009        5.4e+010        Inf     Inf     Inf
Computing 1440 Step 1 took 54335ms of CPU time / 3872100ms of GPU time
Throughput: 0.372 curves by second (on average 2688.96ms by Step 1)
Expected time to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
4.02h   1.60d   17.40d  211.98d 7.90y   102.75y 4568y   Inf     Inf     Inf
Resuming ECM residue saved by ******@****** with GMP-ECM 7.0-dev on Mon Dec 16 08:48:50 2013 
Input number is (10^263-10^131*6-1)/(3*59*167*541*9043*16193*7123870703025173*4881217387691562809) (214 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3720292627
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
389     2872    25127   252850  2853276 3.6e+007        5.1e+008        7.8e+009        1.8e+011        2.3e+016
Step 1 took 16ms
Using 26 small primes for NTT
Estimated memory usage: 71M
Initializing tables of differences for F took 32ms
Computing roots of F took 920ms
Building F from its roots took 2137ms
Computing 1/F took 1123ms
Initializing table of differences for G took 31ms
Computing roots of G took 858ms
Building G from its roots took 2278ms
Computing roots of G took 842ms
Building G from its roots took 2122ms
Computing G * H took 671ms
Reducing  G * H mod F took 624ms
Computing polyeval(F,G) took 4041ms
Computing product of all F(g_i) took 15ms
Step 2 took 15756ms
********** Factor found in step 2: 171460428270361797182702717224640849138587
Found probable prime factor of 42 digits: 171460428270361797182702717224640849138587
Probable prime cofactor ((10^263-10^131*6-1)/(3*59*167*541*9043*16193*7123870703025173*4881217387691562809))/171460428270361797182702717224640849138587 has 172 digits
execution environment 実行環境
Windows 7 Pro 64bits, 2x Intel Xeon E5-2620 @ 2.0 GHz, 2x NVIDIA GeForce GTX660, 32GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e61735 / 23181000Dmitry DomanovJanuary 10, 2012 09:14:41 UTC 2012 年 1 月 10 日 (火) 18 時 14 分 41 秒 (日本時間)
735Youcef LemsaferDecember 16, 2013 09:45:38 UTC 2013 年 12 月 16 日 (月) 18 時 45 分 38 秒 (日本時間)

10265-6×10132-13

c249

name 名前Youcef Lemsafer
date 日付January 9, 2017 05:38:45 UTC 2017 年 1 月 9 日 (月) 14 時 38 分 45 秒 (日本時間)
composite number 合成数
918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377<249>
prime factors 素因数
3124051843076588739664298167139464963477481512644640147979388917<64>
293875073496815340306786764834477471300096595230382124539020529633936612412923175391818727181763320873628079257010031817059114844356816490096362434133882114983535258126826732845473723381<186>
factorization results 素因数分解の結果
<Parameters where as follows:>
#
# 33133_132, C249, SNFS_diff=265
# f(X)=10*X^6-6*X^3-1
# g(X)=X-10^44
#
n: 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377
Y0: -100000000000000000000000000000000000000000000
Y1: 1
deg: 6
c6: 10
c3: -6
c0: -1
skew: 0.681
type: snfs
rlim: 220000000
alim: 220000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8

<Sieved from 40e6 to 192e6 using gnfs-lasieve4I15e -r.>
<Sieving done using 6 threads on Intel Xeon E5-1650v3 @3.5GHz>
<and 12 threads on Intel Core i7-5820K>
<Sieve time: 26290 thread.hours (~72 calendar days).>

<Note: 284e6 and 316e6 relations were not enough to get to
<the clique removal stage of the filtering.>

<Filtering on Core i7-5820K running Debian 8:>

Tue Dec 27 11:11:04 2016  
Tue Dec 27 11:11:04 2016  
Tue Dec 27 11:11:04 2016  Msieve v. 1.53 (SVN 991)
Tue Dec 27 11:11:04 2016  random seeds: 08e96fed e7511b6d
Tue Dec 27 11:11:04 2016  factoring 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 (249 digits)
Tue Dec 27 11:11:05 2016  no P-1/P+1/ECM available, skipping
Tue Dec 27 11:11:05 2016  commencing number field sieve (249-digit input)
Tue Dec 27 11:11:05 2016  R0: -100000000000000000000000000000000000000000000
Tue Dec 27 11:11:05 2016  R1: 1
Tue Dec 27 11:11:05 2016  A0: -1
Tue Dec 27 11:11:05 2016  A1: 0
Tue Dec 27 11:11:05 2016  A2: 0
Tue Dec 27 11:11:05 2016  A3: -6
Tue Dec 27 11:11:05 2016  A4: 0
Tue Dec 27 11:11:05 2016  A5: 0
Tue Dec 27 11:11:05 2016  A6: 10
Tue Dec 27 11:11:05 2016  skew 1.00, size 4.122e-13, alpha 2.240, combined = 5.980e-14 rroots = 2
Tue Dec 27 11:11:05 2016  
Tue Dec 27 11:11:05 2016  commencing relation filtering
Tue Dec 27 11:11:05 2016  setting target matrix density to 116.0
Tue Dec 27 11:11:05 2016  estimated available RAM is 64456.1 MB
Tue Dec 27 11:11:05 2016  commencing duplicate removal, pass 1
Tue Dec 27 11:11:55 2016  error -9 reading relation 6117072
Tue Dec 27 11:11:55 2016  error -5 reading relation 6138584
Tue Dec 27 11:11:56 2016  error -1 reading relation 6159984
Tue Dec 27 11:11:56 2016  error -9 reading relation 6201010
Tue Dec 27 11:12:11 2016  error -15 reading relation 8000598
Tue Dec 27 11:12:11 2016  error -9 reading relation 8021753
Tue Dec 27 11:12:11 2016  error -5 reading relation 8042537
Tue Dec 27 11:12:11 2016  error -1 reading relation 8083569
Tue Dec 27 11:12:12 2016  error -15 reading relation 8104752
Tue Dec 27 11:18:16 2016  error -1 reading relation 52667967
Tue Dec 27 11:18:17 2016  error -9 reading relation 52688382
Tue Dec 27 11:18:17 2016  error -1 reading relation 52708483
Tue Dec 27 11:18:17 2016  error -15 reading relation 52748934
Tue Dec 27 11:18:41 2016  error -9 reading relation 55706932
Tue Dec 27 11:18:41 2016  error -1 reading relation 55727133
Tue Dec 27 11:18:42 2016  error -5 reading relation 55768122
Tue Dec 27 11:18:42 2016  error -9 reading relation 55787813
Tue Dec 27 11:18:42 2016  error -9 reading relation 55806946
Tue Dec 27 11:22:27 2016  error -9 reading relation 83280531
Tue Dec 27 11:27:45 2016  error -15 reading relation 122021168
Tue Dec 27 11:27:46 2016  error -1 reading relation 122041204
Tue Dec 27 11:27:46 2016  error -15 reading relation 122117306
Tue Dec 27 11:27:46 2016  error -9 reading relation 122135602
Tue Dec 27 11:29:30 2016  error -5 reading relation 134718426
Tue Dec 27 11:29:30 2016  error -15 reading relation 134755905
Tue Dec 27 11:29:30 2016  error -1 reading relation 134793047
Tue Dec 27 11:29:31 2016  error -9 reading relation 134811742
Tue Dec 27 11:29:31 2016  error -9 reading relation 134869816
Tue Dec 27 11:54:46 2016  error -15 reading relation 318502637
Tue Dec 27 11:54:46 2016  error -1 reading relation 318519306
Tue Dec 27 11:54:46 2016  error -15 reading relation 318536440
Tue Dec 27 11:55:01 2016  error -9 reading relation 320284145
Tue Dec 27 11:55:01 2016  error -15 reading relation 320300164
Tue Dec 27 11:55:01 2016  error -5 reading relation 320317512
Tue Dec 27 11:55:01 2016  error -1 reading relation 320334032
Tue Dec 27 11:59:00 2016  skipped 2318 relations with b > 2^32
Tue Dec 27 11:59:00 2016  skipped 30 relations with composite factors
Tue Dec 27 11:59:00 2016  found 62964342 hash collisions in 349056573 relations
Tue Dec 27 11:59:18 2016  added 406196 free relations
Tue Dec 27 11:59:18 2016  commencing duplicate removal, pass 2
Tue Dec 27 12:05:12 2016  found 53185056 duplicates and 296277713 unique relations
Tue Dec 27 12:05:12 2016  memory use: 1449.5 MB
Tue Dec 27 12:05:12 2016  reading ideals above 191954944
Tue Dec 27 12:05:12 2016  commencing singleton removal, initial pass
Tue Dec 27 12:35:59 2016  memory use: 6024.0 MB
Tue Dec 27 12:35:59 2016  reading all ideals from disk
Tue Dec 27 12:36:01 2016  memory use: 5338.0 MB
Tue Dec 27 12:36:15 2016  commencing in-memory singleton removal
Tue Dec 27 12:36:28 2016  begin with 296277713 relations and 291951207 unique ideals
Tue Dec 27 12:38:55 2016  reduce to 134151744 relations and 105735419 ideals in 21 passes
Tue Dec 27 12:38:55 2016  max relations containing the same ideal: 36
Tue Dec 27 12:39:02 2016  reading ideals above 720000
Tue Dec 27 12:39:03 2016  commencing singleton removal, initial pass
Tue Dec 27 12:58:41 2016  memory use: 3012.0 MB
Tue Dec 27 12:58:41 2016  reading all ideals from disk
Tue Dec 27 12:58:43 2016  memory use: 5606.0 MB
Tue Dec 27 12:59:01 2016  keeping 126344696 ideals with weight <= 200, target excess is 709544
Tue Dec 27 12:59:20 2016  commencing in-memory singleton removal
Tue Dec 27 12:59:34 2016  begin with 134151745 relations and 126344696 unique ideals
Tue Dec 27 13:02:24 2016  reduce to 134146816 relations and 126339767 ideals in 12 passes
Tue Dec 27 13:02:24 2016  max relations containing the same ideal: 200
Tue Dec 27 13:03:39 2016  removing 10705878 relations and 9705878 ideals in 1000000 cliques
Tue Dec 27 13:03:43 2016  commencing in-memory singleton removal
Tue Dec 27 13:03:56 2016  begin with 123440938 relations and 126339767 unique ideals
Tue Dec 27 13:06:18 2016  reduce to 122760445 relations and 115946140 ideals in 11 passes
Tue Dec 27 13:06:18 2016  max relations containing the same ideal: 196
Tue Dec 27 13:07:27 2016  removing 7831237 relations and 6831237 ideals in 1000000 cliques
Tue Dec 27 13:07:29 2016  commencing in-memory singleton removal
Tue Dec 27 13:07:42 2016  begin with 114929208 relations and 115946140 unique ideals
Tue Dec 27 13:09:30 2016  reduce to 114522666 relations and 108704844 ideals in 9 passes
Tue Dec 27 13:09:30 2016  max relations containing the same ideal: 190
Tue Dec 27 13:10:34 2016  removing 6924248 relations and 5924248 ideals in 1000000 cliques
Tue Dec 27 13:10:36 2016  commencing in-memory singleton removal
Tue Dec 27 13:10:48 2016  begin with 107598418 relations and 108704844 unique ideals
Tue Dec 27 13:12:40 2016  reduce to 107254126 relations and 102433337 ideals in 10 passes
Tue Dec 27 13:12:40 2016  max relations containing the same ideal: 181
Tue Dec 27 13:13:40 2016  removing 6428450 relations and 5428450 ideals in 1000000 cliques
Tue Dec 27 13:13:43 2016  commencing in-memory singleton removal
Tue Dec 27 13:13:54 2016  begin with 100825676 relations and 102433337 unique ideals
Tue Dec 27 13:15:28 2016  reduce to 100507924 relations and 96684282 ideals in 9 passes
Tue Dec 27 13:15:28 2016  max relations containing the same ideal: 175
Tue Dec 27 13:16:24 2016  removing 6113102 relations and 5113102 ideals in 1000000 cliques
Tue Dec 27 13:16:26 2016  commencing in-memory singleton removal
Tue Dec 27 13:16:36 2016  begin with 94394822 relations and 96684282 unique ideals
Tue Dec 27 13:18:04 2016  reduce to 94092372 relations and 91265944 ideals in 9 passes
Tue Dec 27 13:18:04 2016  max relations containing the same ideal: 168
Tue Dec 27 13:18:57 2016  removing 5890832 relations and 4890832 ideals in 1000000 cliques
Tue Dec 27 13:18:59 2016  commencing in-memory singleton removal
Tue Dec 27 13:19:08 2016  begin with 88201540 relations and 91265944 unique ideals
Tue Dec 27 13:20:21 2016  reduce to 87897894 relations and 86068595 ideals in 8 passes
Tue Dec 27 13:20:21 2016  max relations containing the same ideal: 164
Tue Dec 27 13:21:11 2016  removing 5735480 relations and 4735480 ideals in 1000000 cliques
Tue Dec 27 13:21:13 2016  commencing in-memory singleton removal
Tue Dec 27 13:21:21 2016  begin with 82162414 relations and 86068595 unique ideals
Tue Dec 27 13:22:37 2016  reduce to 81855027 relations and 81022657 ideals in 9 passes
Tue Dec 27 13:22:37 2016  max relations containing the same ideal: 153
Tue Dec 27 13:23:23 2016  removing 105036 relations and 95738 ideals in 9298 cliques
Tue Dec 27 13:23:24 2016  commencing in-memory singleton removal
Tue Dec 27 13:23:33 2016  begin with 81749991 relations and 81022657 unique ideals
Tue Dec 27 13:24:06 2016  reduce to 81749896 relations and 80926824 ideals in 4 passes
Tue Dec 27 13:24:06 2016  max relations containing the same ideal: 153
Tue Dec 27 13:24:25 2016  relations with 0 large ideals: 9125
Tue Dec 27 13:24:25 2016  relations with 1 large ideals: 2814
Tue Dec 27 13:24:25 2016  relations with 2 large ideals: 53369
Tue Dec 27 13:24:25 2016  relations with 3 large ideals: 511047
Tue Dec 27 13:24:25 2016  relations with 4 large ideals: 2696305
Tue Dec 27 13:24:25 2016  relations with 5 large ideals: 8613131
Tue Dec 27 13:24:25 2016  relations with 6 large ideals: 17283897
Tue Dec 27 13:24:25 2016  relations with 7+ large ideals: 52580208
Tue Dec 27 13:24:25 2016  commencing 2-way merge
Tue Dec 27 13:25:29 2016  reduce to 48589276 relation sets and 47766204 unique ideals
Tue Dec 27 13:25:29 2016  commencing full merge
Tue Dec 27 14:08:18 2016  memory use: 2202.3 MB
Tue Dec 27 14:08:18 2016  found 110747 cycles, need 10096744
Tue Dec 27 14:08:18 2016  too few cycles, matrix probably cannot build
Tue Dec 27 14:10:31 2016  
Tue Dec 27 14:10:31 2016  
Tue Dec 27 14:10:31 2016  Msieve v. 1.53 (SVN 991)
Tue Dec 27 14:10:31 2016  random seeds: f4edf9b1 f1713c8d
Tue Dec 27 14:10:31 2016  factoring 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 (249 digits)
Tue Dec 27 14:10:32 2016  no P-1/P+1/ECM available, skipping
Tue Dec 27 14:10:32 2016  commencing number field sieve (249-digit input)
Tue Dec 27 14:10:32 2016  R0: -100000000000000000000000000000000000000000000
Tue Dec 27 14:10:32 2016  R1: 1
Tue Dec 27 14:10:32 2016  A0: -1
Tue Dec 27 14:10:32 2016  A1: 0
Tue Dec 27 14:10:32 2016  A2: 0
Tue Dec 27 14:10:32 2016  A3: -6
Tue Dec 27 14:10:32 2016  A4: 0
Tue Dec 27 14:10:32 2016  A5: 0
Tue Dec 27 14:10:32 2016  A6: 10
Tue Dec 27 14:10:32 2016  skew 1.00, size 4.122e-13, alpha 2.240, combined = 5.980e-14 rroots = 2
Tue Dec 27 14:10:32 2016  
Tue Dec 27 14:10:32 2016  commencing relation filtering
Tue Dec 27 14:10:32 2016  setting target matrix density to 104.0
Tue Dec 27 14:10:32 2016  estimated available RAM is 64456.1 MB
Tue Dec 27 14:10:32 2016  commencing duplicate removal, pass 1
Tue Dec 27 14:11:23 2016  error -9 reading relation 6117072
Tue Dec 27 14:11:23 2016  error -5 reading relation 6138584
Tue Dec 27 14:11:23 2016  error -1 reading relation 6159984
Tue Dec 27 14:11:23 2016  error -9 reading relation 6201010
Tue Dec 27 14:11:38 2016  error -15 reading relation 8000598
Tue Dec 27 14:11:39 2016  error -9 reading relation 8021753
Tue Dec 27 14:11:39 2016  error -5 reading relation 8042537
Tue Dec 27 14:11:39 2016  error -1 reading relation 8083569
Tue Dec 27 14:11:39 2016  error -15 reading relation 8104752
Tue Dec 27 14:17:44 2016  error -1 reading relation 52667967
Tue Dec 27 14:17:45 2016  error -9 reading relation 52688382
Tue Dec 27 14:17:45 2016  error -1 reading relation 52708483
Tue Dec 27 14:17:45 2016  error -15 reading relation 52748934
Tue Dec 27 14:18:09 2016  error -9 reading relation 55706932
Tue Dec 27 14:18:09 2016  error -1 reading relation 55727133
Tue Dec 27 14:18:10 2016  error -5 reading relation 55768122
Tue Dec 27 14:18:10 2016  error -9 reading relation 55787813
Tue Dec 27 14:18:10 2016  error -9 reading relation 55806946
Tue Dec 27 14:21:55 2016  error -9 reading relation 83280531
Tue Dec 27 14:27:14 2016  error -15 reading relation 122021168
Tue Dec 27 14:27:15 2016  error -1 reading relation 122041204
Tue Dec 27 14:27:15 2016  error -15 reading relation 122117306
Tue Dec 27 14:27:15 2016  error -9 reading relation 122135602
Tue Dec 27 14:29:01 2016  error -5 reading relation 134718426
Tue Dec 27 14:29:02 2016  error -15 reading relation 134755905
Tue Dec 27 14:29:02 2016  error -1 reading relation 134793047
Tue Dec 27 14:29:02 2016  error -9 reading relation 134811742
Tue Dec 27 14:29:03 2016  error -9 reading relation 134869816
Tue Dec 27 14:54:14 2016  error -15 reading relation 318502637
Tue Dec 27 14:54:14 2016  error -1 reading relation 318519306
Tue Dec 27 14:54:15 2016  error -15 reading relation 318536440
Tue Dec 27 14:54:29 2016  error -9 reading relation 320284145
Tue Dec 27 14:54:29 2016  error -15 reading relation 320300164
Tue Dec 27 14:54:29 2016  error -5 reading relation 320317512
Tue Dec 27 14:54:30 2016  error -1 reading relation 320334032
Tue Dec 27 14:58:32 2016  skipped 2318 relations with b > 2^32
Tue Dec 27 14:58:32 2016  skipped 30 relations with composite factors
Tue Dec 27 14:58:32 2016  found 63006730 hash collisions in 349462769 relations
Tue Dec 27 14:58:49 2016  commencing duplicate removal, pass 2
Tue Dec 27 15:04:42 2016  found 53185056 duplicates and 296277713 unique relations
Tue Dec 27 15:04:42 2016  memory use: 1449.5 MB
Tue Dec 27 15:04:42 2016  reading ideals above 191954944
Tue Dec 27 15:04:42 2016  commencing singleton removal, initial pass
Tue Dec 27 15:35:32 2016  memory use: 6024.0 MB
Tue Dec 27 15:35:33 2016  reading all ideals from disk
Tue Dec 27 15:35:35 2016  memory use: 5338.0 MB
Tue Dec 27 15:35:48 2016  commencing in-memory singleton removal
Tue Dec 27 15:36:01 2016  begin with 296277713 relations and 291951207 unique ideals
Tue Dec 27 15:38:28 2016  reduce to 134151744 relations and 105735419 ideals in 21 passes
Tue Dec 27 15:38:28 2016  max relations containing the same ideal: 36
Tue Dec 27 15:38:36 2016  reading ideals above 720000
Tue Dec 27 15:38:36 2016  commencing singleton removal, initial pass
Tue Dec 27 15:58:14 2016  memory use: 3012.0 MB
Tue Dec 27 15:58:14 2016  reading all ideals from disk
Tue Dec 27 15:58:16 2016  memory use: 5606.0 MB
Tue Dec 27 15:58:34 2016  keeping 126344696 ideals with weight <= 200, target excess is 709544
Tue Dec 27 15:58:52 2016  commencing in-memory singleton removal
Tue Dec 27 15:59:07 2016  begin with 134151745 relations and 126344696 unique ideals
Tue Dec 27 16:01:59 2016  reduce to 134146816 relations and 126339767 ideals in 12 passes
Tue Dec 27 16:01:59 2016  max relations containing the same ideal: 200
Tue Dec 27 16:03:15 2016  removing 10705878 relations and 9705878 ideals in 1000000 cliques
Tue Dec 27 16:03:18 2016  commencing in-memory singleton removal
Tue Dec 27 16:03:32 2016  begin with 123440938 relations and 126339767 unique ideals
Tue Dec 27 16:05:57 2016  reduce to 122760445 relations and 115946140 ideals in 11 passes
Tue Dec 27 16:05:57 2016  max relations containing the same ideal: 196
Tue Dec 27 16:07:06 2016  removing 7831237 relations and 6831237 ideals in 1000000 cliques
Tue Dec 27 16:07:09 2016  commencing in-memory singleton removal
Tue Dec 27 16:07:21 2016  begin with 114929208 relations and 115946140 unique ideals
Tue Dec 27 16:09:10 2016  reduce to 114522666 relations and 108704844 ideals in 9 passes
Tue Dec 27 16:09:10 2016  max relations containing the same ideal: 190
Tue Dec 27 16:10:14 2016  removing 6924248 relations and 5924248 ideals in 1000000 cliques
Tue Dec 27 16:10:16 2016  commencing in-memory singleton removal
Tue Dec 27 16:10:28 2016  begin with 107598418 relations and 108704844 unique ideals
Tue Dec 27 16:12:21 2016  reduce to 107254126 relations and 102433337 ideals in 10 passes
Tue Dec 27 16:12:21 2016  max relations containing the same ideal: 181
Tue Dec 27 16:13:21 2016  removing 6428450 relations and 5428450 ideals in 1000000 cliques
Tue Dec 27 16:13:23 2016  commencing in-memory singleton removal
Tue Dec 27 16:13:34 2016  begin with 100825676 relations and 102433337 unique ideals
Tue Dec 27 16:15:08 2016  reduce to 100507924 relations and 96684282 ideals in 9 passes
Tue Dec 27 16:15:08 2016  max relations containing the same ideal: 175
Tue Dec 27 16:16:04 2016  removing 6113102 relations and 5113102 ideals in 1000000 cliques
Tue Dec 27 16:16:06 2016  commencing in-memory singleton removal
Tue Dec 27 16:16:16 2016  begin with 94394822 relations and 96684282 unique ideals
Tue Dec 27 16:17:44 2016  reduce to 94092372 relations and 91265944 ideals in 9 passes
Tue Dec 27 16:17:44 2016  max relations containing the same ideal: 168
Tue Dec 27 16:18:37 2016  removing 5890832 relations and 4890832 ideals in 1000000 cliques
Tue Dec 27 16:18:39 2016  commencing in-memory singleton removal
Tue Dec 27 16:18:48 2016  begin with 88201540 relations and 91265944 unique ideals
Tue Dec 27 16:20:01 2016  reduce to 87897894 relations and 86068595 ideals in 8 passes
Tue Dec 27 16:20:01 2016  max relations containing the same ideal: 164
Tue Dec 27 16:20:50 2016  removing 5735480 relations and 4735480 ideals in 1000000 cliques
Tue Dec 27 16:20:52 2016  commencing in-memory singleton removal
Tue Dec 27 16:21:01 2016  begin with 82162414 relations and 86068595 unique ideals
Tue Dec 27 16:22:17 2016  reduce to 81855027 relations and 81022657 ideals in 9 passes
Tue Dec 27 16:22:17 2016  max relations containing the same ideal: 153
Tue Dec 27 16:23:03 2016  removing 105036 relations and 95738 ideals in 9298 cliques
Tue Dec 27 16:23:04 2016  commencing in-memory singleton removal
Tue Dec 27 16:23:13 2016  begin with 81749991 relations and 81022657 unique ideals
Tue Dec 27 16:23:46 2016  reduce to 81749896 relations and 80926824 ideals in 4 passes
Tue Dec 27 16:23:46 2016  max relations containing the same ideal: 153
Tue Dec 27 16:24:05 2016  relations with 0 large ideals: 9125
Tue Dec 27 16:24:05 2016  relations with 1 large ideals: 2814
Tue Dec 27 16:24:05 2016  relations with 2 large ideals: 53369
Tue Dec 27 16:24:05 2016  relations with 3 large ideals: 511047
Tue Dec 27 16:24:05 2016  relations with 4 large ideals: 2696305
Tue Dec 27 16:24:05 2016  relations with 5 large ideals: 8613131
Tue Dec 27 16:24:05 2016  relations with 6 large ideals: 17283897
Tue Dec 27 16:24:05 2016  relations with 7+ large ideals: 52580208
Tue Dec 27 16:24:05 2016  commencing 2-way merge
Tue Dec 27 16:25:08 2016  reduce to 48589276 relation sets and 47766204 unique ideals
Tue Dec 27 16:25:08 2016  commencing full merge
Tue Dec 27 16:42:41 2016  memory use: 6074.6 MB
Tue Dec 27 16:42:46 2016  found 22911099 cycles, need 22868404
Tue Dec 27 16:42:53 2016  weight of 22868404 cycles is about 2378478156 (104.01/cycle)
Tue Dec 27 16:42:53 2016  distribution of cycle lengths:
Tue Dec 27 16:42:53 2016  1 relations: 2423288
Tue Dec 27 16:42:53 2016  2 relations: 2133152
Tue Dec 27 16:42:53 2016  3 relations: 2071045
Tue Dec 27 16:42:53 2016  4 relations: 1926894
Tue Dec 27 16:42:53 2016  5 relations: 1815264
Tue Dec 27 16:42:53 2016  6 relations: 1644308
Tue Dec 27 16:42:53 2016  7 relations: 1511418
Tue Dec 27 16:42:53 2016  8 relations: 1351907
Tue Dec 27 16:42:53 2016  9 relations: 1211793
Tue Dec 27 16:42:53 2016  10+ relations: 6779335
Tue Dec 27 16:42:53 2016  heaviest cycle: 28 relations
Tue Dec 27 16:42:58 2016  commencing cycle optimization
Tue Dec 27 16:43:36 2016  start with 167574957 relations
Tue Dec 27 16:48:35 2016  pruned 5016322 relations
Tue Dec 27 16:48:35 2016  memory use: 5061.3 MB
Tue Dec 27 16:48:35 2016  distribution of cycle lengths:
Tue Dec 27 16:48:35 2016  1 relations: 2423288
Tue Dec 27 16:48:35 2016  2 relations: 2183243
Tue Dec 27 16:48:35 2016  3 relations: 2145546
Tue Dec 27 16:48:35 2016  4 relations: 1981522
Tue Dec 27 16:48:35 2016  5 relations: 1872325
Tue Dec 27 16:48:35 2016  6 relations: 1683561
Tue Dec 27 16:48:35 2016  7 relations: 1543411
Tue Dec 27 16:48:35 2016  8 relations: 1372036
Tue Dec 27 16:48:35 2016  9 relations: 1227161
Tue Dec 27 16:48:35 2016  10+ relations: 6436311
Tue Dec 27 16:48:35 2016  heaviest cycle: 28 relations
Tue Dec 27 16:49:30 2016  RelProcTime: 9538
Tue Dec 27 16:49:30 2016  elapsed time 02:38:59

<Linear algebra + square root on dual Intel Xeon E5-2620 @2.0GHz:>
Tue Dec 27 19:00:44 2016  
Tue Dec 27 19:00:44 2016  
Tue Dec 27 19:00:44 2016  Msieve v. 1.53 (SVN 975)
Tue Dec 27 19:00:44 2016  random seeds: 00660aea 296c8888
Tue Dec 27 19:00:44 2016  MPI process 0 of 2
Tue Dec 27 19:00:44 2016  factoring 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 (249 digits)
Tue Dec 27 19:00:46 2016  no P-1/P+1/ECM available, skipping
Tue Dec 27 19:00:46 2016  commencing number field sieve (249-digit input)
Tue Dec 27 19:00:46 2016  R0: -100000000000000000000000000000000000000000000
Tue Dec 27 19:00:46 2016  R1: 1
Tue Dec 27 19:00:46 2016  A0: -1
Tue Dec 27 19:00:46 2016  A1: 0
Tue Dec 27 19:00:46 2016  A2: 0
Tue Dec 27 19:00:46 2016  A3: -6
Tue Dec 27 19:00:46 2016  A4: 0
Tue Dec 27 19:00:46 2016  A5: 0
Tue Dec 27 19:00:46 2016  A6: 10
Tue Dec 27 19:00:46 2016  skew 1.00, size 4.122e-13, alpha 2.240, combined = 5.980e-14 rroots = 2
Tue Dec 27 19:00:46 2016  
Tue Dec 27 19:00:46 2016  commencing linear algebra
Tue Dec 27 19:00:47 2016  initialized process (0,0) of 1 x 2 grid
Tue Dec 27 19:00:59 2016  read 22868404 cycles
Tue Dec 27 19:02:09 2016  cycles contain 81040630 unique relations
Tue Dec 27 19:24:26 2016  read 81040630 relations
Tue Dec 27 19:28:05 2016  using 20 quadratic characters above 4294917296
Tue Dec 27 19:35:52 2016  building initial matrix
Tue Dec 27 19:56:29 2016  memory use: 10645.4 MB
Tue Dec 27 19:57:15 2016  read 22868404 cycles
Tue Dec 27 19:57:20 2016  matrix is 22868227 x 22868404 (9495.9 MB) with weight 2723041076 (119.07/col)
Tue Dec 27 19:57:20 2016  sparse part has weight 2260615782 (98.85/col)
Tue Dec 27 20:06:44 2016  filtering completed in 2 passes
Tue Dec 27 20:06:50 2016  matrix is 22866252 x 22866429 (9495.8 MB) with weight 2722983448 (119.08/col)
Tue Dec 27 20:06:50 2016  sparse part has weight 2260599366 (98.86/col)
Tue Dec 27 20:09:28 2016  matrix starts at (0, 0)
Tue Dec 27 20:09:30 2016  matrix is 22866252 x 11433238 (4747.9 MB) with weight 1361498141 (119.08/col)
Tue Dec 27 20:09:30 2016  sparse part has weight 1130299812 (98.86/col)
Tue Dec 27 20:09:30 2016  saving the first 48 matrix rows for later
Tue Dec 27 20:09:34 2016  matrix includes 64 packed rows
Tue Dec 27 20:09:41 2016  matrix is 22866204 x 11433238 (4563.6 MB) with weight 1145600066 (100.20/col)
Tue Dec 27 20:09:41 2016  sparse part has weight 1081987707 (94.64/col)
Tue Dec 27 20:09:41 2016  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Dec 27 20:11:26 2016  commencing Lanczos iteration (6 threads)
Tue Dec 27 20:11:26 2016  memory use: 4014.8 MB
Tue Dec 27 20:13:06 2016  linear algebra at 0.0%, ETA 284h53m
Tue Dec 27 20:13:28 2016  checkpointing every 90000 dimensions
Sun Jan  8 13:12:23 2017  lanczos halted after 361601 iterations (dim = 22866202)
Sun Jan  8 13:12:54 2017  recovered 34 nontrivial dependencies
Sun Jan  8 13:12:57 2017  BLanczosTime: 1015931
Sun Jan  8 13:12:57 2017  elapsed time 282:12:13
Sun Jan 08 13:13:08 2017  
Sun Jan 08 13:13:08 2017  
Sun Jan 08 13:13:08 2017  Msieve v. 1.53 (SVN 983M)
Sun Jan 08 13:13:08 2017  random seeds: 545c5f20 03d8fae6
Sun Jan 08 13:13:08 2017  factoring 918080964991993940013963458211019592913063759873219428702170292525323806603521990301660208226645855031343482397306493585577513373934402501788116022068903633773886859721732954157134570413908928254743319296599445314834854692413823925142015301075168377 (249 digits)
Sun Jan 08 13:13:11 2017  no P-1/P+1/ECM available, skipping
Sun Jan 08 13:13:11 2017  commencing number field sieve (249-digit input)
Sun Jan 08 13:13:11 2017  R0: -100000000000000000000000000000000000000000000
Sun Jan 08 13:13:11 2017  R1: 1
Sun Jan 08 13:13:11 2017  A0: -1
Sun Jan 08 13:13:11 2017  A1: 0
Sun Jan 08 13:13:11 2017  A2: 0
Sun Jan 08 13:13:11 2017  A3: -6
Sun Jan 08 13:13:11 2017  A4: 0
Sun Jan 08 13:13:11 2017  A5: 0
Sun Jan 08 13:13:11 2017  A6: 10
Sun Jan 08 13:13:11 2017  skew 1.00, size 4.122e-013, alpha 2.240, combined = 5.980e-014 rroots = 2
Sun Jan 08 13:13:11 2017  
Sun Jan 08 13:13:11 2017  commencing square root phase
Sun Jan 08 13:13:11 2017  reading relations for dependency 1
Sun Jan 08 13:13:18 2017  read 11434800 cycles
Sun Jan 08 13:13:45 2017  cycles contain 40522848 unique relations
Sun Jan 08 13:29:13 2017  read 40522848 relations
Sun Jan 08 13:34:09 2017  multiplying 40522848 relations
Sun Jan 08 14:29:58 2017  multiply complete, coefficients have about 1191.87 million bits
Sun Jan 08 14:30:10 2017  initial square root is modulo 222029
Sun Jan 08 15:31:25 2017  GCD is 1, no factor found
Sun Jan 08 15:31:25 2017  reading relations for dependency 2
Sun Jan 08 15:31:32 2017  read 11437422 cycles
Sun Jan 08 15:31:59 2017  cycles contain 40529342 unique relations
Sun Jan 08 15:47:30 2017  read 40529342 relations
Sun Jan 08 15:52:25 2017  multiplying 40529342 relations
Sun Jan 08 16:48:07 2017  multiply complete, coefficients have about 1192.04 million bits
Sun Jan 08 16:48:19 2017  initial square root is modulo 222493
Sun Jan 08 17:49:37 2017  GCD is 1, no factor found
Sun Jan 08 17:49:37 2017  reading relations for dependency 3
Sun Jan 08 17:49:44 2017  read 11432397 cycles
Sun Jan 08 17:50:11 2017  cycles contain 40519804 unique relations
Sun Jan 08 18:05:42 2017  read 40519804 relations
Sun Jan 08 18:10:38 2017  multiplying 40519804 relations
Sun Jan 08 19:06:29 2017  multiply complete, coefficients have about 1191.76 million bits
Sun Jan 08 19:06:41 2017  initial square root is modulo 221797
Sun Jan 08 20:07:35 2017  GCD is N, no factor found
Sun Jan 08 20:07:35 2017  reading relations for dependency 4
Sun Jan 08 20:07:41 2017  read 11429395 cycles
Sun Jan 08 20:08:09 2017  cycles contain 40502938 unique relations
Sun Jan 08 20:23:41 2017  read 40502938 relations
Sun Jan 08 20:28:36 2017  multiplying 40502938 relations
Sun Jan 08 21:24:28 2017  multiply complete, coefficients have about 1191.27 million bits
Sun Jan 08 21:24:40 2017  initial square root is modulo 220667
Sun Jan 08 22:26:17 2017  sqrtTime: 33186
Sun Jan 08 22:26:17 2017  p64 factor: 3124051843076588739664298167139464963477481512644640147979388917
Sun Jan 08 22:26:17 2017  p186 factor: 293875073496815340306786764834477471300096595230382124539020529633936612412923175391818727181763320873628079257010031817059114844356816490096362434133882114983535258126826732845473723381
Sun Jan 08 22:26:17 2017  elapsed time 09:13:09

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovJanuary 10, 2012 09:14:49 UTC 2012 年 1 月 10 日 (火) 18 時 14 分 49 秒 (日本時間)
1440Youcef LemsaferDecember 16, 2013 09:58:09 UTC 2013 年 12 月 16 日 (月) 18 時 58 分 9 秒 (日本時間)
4511e63072Youcef LemsaferJune 14, 2014 09:48:33 UTC 2014 年 6 月 14 日 (土) 18 時 48 分 33 秒 (日本時間)
5043e6641640Youcef LemsaferJune 16, 2014 05:24:09 UTC 2014 年 6 月 16 日 (月) 14 時 24 分 9 秒 (日本時間)
1KTakahashiNovember 1, 2014 20:36:56 UTC 2014 年 11 月 2 日 (日) 5 時 36 分 56 秒 (日本時間)
5511e7504064Youcef LemsaferJune 16, 2014 10:29:46 UTC 2014 年 6 月 16 日 (月) 19 時 29 分 46 秒 (日本時間)
720Youcef LemsaferSeptember 25, 2014 08:38:27 UTC 2014 年 9 月 25 日 (木) 17 時 38 分 27 秒 (日本時間)
1440Youcef LemsaferOctober 14, 2014 18:32:52 UTC 2014 年 10 月 15 日 (水) 3 時 32 分 52 秒 (日本時間)
656Youcef LemsaferNovember 15, 2014 15:23:01 UTC 2014 年 11 月 16 日 (日) 0 時 23 分 1 秒 (日本時間)
2160AnonimoAugust 16, 2016 23:40:35 UTC 2016 年 8 月 17 日 (水) 8 時 40 分 35 秒 (日本時間)
6026e719000 / 39986700Youcef LemsaferJune 23, 2016 09:43:55 UTC 2016 年 6 月 23 日 (木) 18 時 43 分 55 秒 (日本時間)
18300Youcef LemsaferOctober 5, 2016 12:58:57 UTC 2016 年 10 月 5 日 (水) 21 時 58 分 57 秒 (日本時間)

10267-6×10133-13

c266

name 名前Warut Roonguthai
date 日付January 2, 2012 21:30:49 UTC 2012 年 1 月 3 日 (火) 6 時 30 分 49 秒 (日本時間)
composite number 合成数
19607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196077254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<266>
prime factors 素因数
1443493679346397979252458519040393<34>
composite cofactor 合成数の残り
13583601658812369344085895014493437180968310774088654311801660026191244036926317478263793971485844382542807293040231958540272955791119422179499456295854950622719407614282277099593871178096187653039295907852513089099742745672406312093<233>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2222656305
Step 1 took 14508ms
Step 2 took 7878ms
********** Factor found in step 2: 1443493679346397979252458519040393
Found probable prime factor of 34 digits: 1443493679346397979252458519040393
Composite cofactor 13583601658812369344085895014493437180968310774088654311801660026191244036926317478263793971485844382542807293040231958540272955791119422179499456295854950622719407614282277099593871178096187653039295907852513089099742745672406312093 has 233 digits
software ソフトウェア
GMP-ECM 6.3

c233

name 名前Dmitry Domanov
date 日付January 7, 2012 07:10:43 UTC 2012 年 1 月 7 日 (土) 16 時 10 分 43 秒 (日本時間)
composite number 合成数
13583601658812369344085895014493437180968310774088654311801660026191244036926317478263793971485844382542807293040231958540272955791119422179499456295854950622719407614282277099593871178096187653039295907852513089099742745672406312093<233>
prime factors 素因数
3144745665141108400988277965189100301<37>
4319459538297147892086598700392124904628560349717852407459170813657780436543493454717467836103392325425945246523228889348745944479044116474113051591179460246046532809862179695083507862194383754193<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2799333601
Step 1 took 35749ms
********** Factor found in step 1: 3144745665141108400988277965189100301
Found probable prime factor of 37 digits: 3144745665141108400988277965189100301

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)

10269-6×10134-13

c235

name 名前Youcef Lemsafer
date 日付November 28, 2016 10:00:04 UTC 2016 年 11 月 28 日 (月) 19 時 0 分 4 秒 (日本時間)
composite number 合成数
3628272413950881864635794134344207502295248634729376689826293869200709831350188702484607075903966719992112919431995571707349690648858389835423628405862164478795600103491119028505089450096187043985308319984956274631364006961485918082541<235>
prime factors 素因数
82812996631670416496097148025770297173583072922359<50>
composite cofactor 合成数の残り
43812838099416282131628685611733223808182437402818213048454826541016475601107590120975203780047436647331141374329955878577383570650232076470062462874816608756163994581356408301999991099<185>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is (10^269-6*10^134-1)/(3*179*57259*242927*1999906283*1845001131013) (235 digits)
[Sat Nov 26 00:05:54 2016]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=110000000, B2=110000000-776278396540, polynomial Dickson(30), sigma=1365048754
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 933890ms
********** Factor found in step 1: 82812996631670416496097148025770297173583072922359
Found probable prime factor of 50 digits: 82812996631670416496097148025770297173583072922359
Composite cofactor ((10^269-6*10^134-1)/(3*179*57259*242927*1999906283*1845001131013))/82812996631670416496097148025770297173583072922359 has 185 digits

c185

name 名前Youcef Lemsafer
date 日付December 27, 2016 21:56:16 UTC 2016 年 12 月 28 日 (水) 6 時 56 分 16 秒 (日本時間)
composite number 合成数
43812838099416282131628685611733223808182437402818213048454826541016475601107590120975203780047436647331141374329955878577383570650232076470062462874816608756163994581356408301999991099<185>
prime factors 素因数
20486281991219733019762767700772375778317728236040862778760589<62>
2138642732643929059435308913664621654410929853294605159212484982125397339010972168604734493115101394702065712343353083247591<124>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.1, --enable-asm-redc] [ECM]
Tuned for x86_64/k8/params.h
Input number is (10^269-6*10^134-1)/(3*179*57259*242927*1999906283*1845001131013*82812996631670416496097148025770297173583072922359) (185 digits)
[Tue Dec 27 19:44:32 2016]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=260000000, B2=3881218362850, polynomial Dickson(30), sigma=0:7454444535099392795
dF=131072, k=20, d=1345890, d2=11, i0=183
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
23      80      325     1473    7394    40592   241451  1544236 1.1e+07 7.7e+07
Step 1 took 1126000ms
Using 23 small primes for NTT
Estimated memory usage: 521.61MB
Initializing tables of differences for F took 313ms
Computing roots of F took 14984ms
Building F from its roots took 7015ms
Computing 1/F took 2625ms
Initializing table of differences for G took 500ms
Computing roots of G took 12797ms
Building G from its roots took 6890ms
Computing roots of G took 12563ms
Building G from its roots took 6969ms
Computing G * H took 1421ms
Reducing  G * H mod F took 1563ms
Computing roots of G took 12297ms
Building G from its roots took 7172ms
Computing G * H took 1453ms
Reducing  G * H mod F took 1625ms
Computing roots of G took 12578ms
Building G from its roots took 6547ms
Computing G * H took 1437ms
Reducing  G * H mod F took 1641ms
Computing roots of G took 13156ms
Building G from its roots took 6391ms
Computing G * H took 1594ms
Reducing  G * H mod F took 1546ms
Computing roots of G took 13125ms
Building G from its roots took 6641ms
Computing G * H took 1297ms
Reducing  G * H mod F took 1500ms
Computing roots of G took 12266ms
Building G from its roots took 7000ms
Computing G * H took 1453ms
Reducing  G * H mod F took 1531ms
Computing roots of G took 12672ms
Building G from its roots took 7032ms
Computing G * H took 1485ms
Reducing  G * H mod F took 1453ms
Computing roots of G took 13531ms
Building G from its roots took 6765ms
Computing G * H took 1500ms
Reducing  G * H mod F took 1547ms
Computing roots of G took 12046ms
Building G from its roots took 6500ms
Computing G * H took 1531ms
Reducing  G * H mod F took 1657ms
Computing roots of G took 12843ms
Building G from its roots took 7360ms
Computing G * H took 1532ms
Reducing  G * H mod F took 1515ms
Computing roots of G took 12969ms
Building G from its roots took 7359ms
Computing G * H took 1547ms
Reducing  G * H mod F took 1390ms
Computing roots of G took 13407ms
Building G from its roots took 6843ms
Computing G * H took 1500ms
Reducing  G * H mod F took 1484ms
Computing roots of G took 13141ms
Building G from its roots took 6797ms
Computing G * H took 1531ms
Reducing  G * H mod F took 1641ms
Computing roots of G took 12563ms
Building G from its roots took 7218ms
Computing G * H took 1546ms
Reducing  G * H mod F took 1579ms
Computing roots of G took 11500ms
Building G from its roots took 6671ms
Computing G * H took 1422ms
Reducing  G * H mod F took 1406ms
Computing roots of G took 12766ms
Building G from its roots took 6390ms
Computing G * H took 1515ms
Reducing  G * H mod F took 1516ms
Computing roots of G took 12953ms
Building G from its roots took 7328ms
Computing G * H took 1532ms
Reducing  G * H mod F took 1640ms
Computing roots of G took 12188ms
Building G from its roots took 6765ms
Computing G * H took 1562ms
Reducing  G * H mod F took 1516ms
Computing roots of G took 12156ms
Building G from its roots took 7000ms
Computing G * H took 1516ms
Reducing  G * H mod F took 1562ms
Computing polyeval(F,G) took 12359ms
Computing product of all F(g_i) took 94ms
Step 2 took 487922ms
********** Factor found in step 2: 20486281991219733019762767700772375778317728236040862778760589
Found prime factor of 62 digits: 20486281991219733019762767700772375778317728236040862778760589
Prime cofactor ((10^269-6*10^134-1)/(3*179*57259*242927*1999906283*1845001131013*82812996631670416496097148025770297173583072922359))/20486281991219733019762767700772375778317728236040862778760589 has 124 digits
Peak memory usage: 654MB
execution environment 実行環境
Intel Xeon E5-1650 v3 @ 3.5GHz, Windows 10 Pro

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovJanuary 10, 2012 09:15:00 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 0 秒 (日本時間)
1440Youcef LemsaferDecember 17, 2013 04:59:11 UTC 2013 年 12 月 17 日 (火) 13 時 59 分 11 秒 (日本時間)
4511e63072Youcef LemsaferJune 18, 2014 19:14:28 UTC 2014 年 6 月 19 日 (木) 4 時 14 分 28 秒 (日本時間)
5043e6790640Youcef LemsaferJune 20, 2014 13:07:48 UTC 2014 年 6 月 20 日 (金) 22 時 7 分 48 秒 (日本時間)
150KTakahashiNovember 3, 2014 00:01:09 UTC 2014 年 11 月 3 日 (月) 9 時 1 分 9 秒 (日本時間)
5511e7684764Youcef LemsaferJune 20, 2014 19:34:38 UTC 2014 年 6 月 21 日 (土) 4 時 34 分 38 秒 (日本時間)
720Youcef LemsaferSeptember 30, 2014 10:01:58 UTC 2014 年 9 月 30 日 (火) 19 時 1 分 58 秒 (日本時間)
6063Youcef LemsaferDecember 8, 2016 10:03:26 UTC 2016 年 12 月 8 日 (木) 19 時 3 分 26 秒 (日本時間)
6026e75595 / 38520Youcef LemsaferDecember 27, 2016 21:46:17 UTC 2016 年 12 月 28 日 (水) 6 時 46 分 17 秒 (日本時間)
6585e7248 / 67197Youcef LemsaferDecember 27, 2016 21:46:17 UTC 2016 年 12 月 28 日 (水) 6 時 46 分 17 秒 (日本時間)

10271-6×10135-13

c257

name 名前Youcef Lemsafer
date 日付September 22, 2017 20:21:54 UTC 2017 年 9 月 23 日 (土) 5 時 21 分 54 秒 (日本時間)
composite number 合成数
89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787<257>
prime factors 素因数
5375652217547636986656185554144587437248797877669895901218949071699<67>
39313358869663888029062007245359137802472298114122238576557843034274035317861<77>
422961752604309262723919932644152228271312094912251754127017293669416781836124168757774383124281358918245915722933<114>
factorization results 素因数分解の結果
<Parameters were as follows:>
#
# 33133_135, C257, SNFS_diff=271
# N=(10^271-6*10^135-1)/(3*37291197833759)
# f(X)=10*X^6-6*X^3-1
# g(X)=X-10^45
#
n: 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787
Y0: -1000000000000000000000000000000000000000000000
Y1: 1
c0: -1
c3: -6
c6: 10
skew: 0.681
type: snfs
lpbr: 32
lpba: 32
rlim: 240000000
alim: 240000000
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8

<Sieved rational special q from 36e6 to 284e6 using gnfs-lasieve4I15e>
<mostly using 12 threads on Intel Core i7-5820K and 8 threads on>
<Intel Xeon E5-1650v3. Took ~49500 thread.hour.>

<Linear algebra on Dual Intel Dual Xeon E5-2620 (32GB RAM)>

Tue Aug 08 08:43:38 2017  
Tue Aug 08 08:43:38 2017  
Tue Aug 08 08:43:38 2017  Msieve v. 1.53 (SVN 983M)
Tue Aug 08 08:43:38 2017  random seeds: 8ddb1a30 733171ed
Tue Aug 08 08:43:38 2017  factoring 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 (257 digits)
Tue Aug 08 08:43:40 2017  no P-1/P+1/ECM available, skipping
Tue Aug 08 08:43:40 2017  commencing number field sieve (257-digit input)
Tue Aug 08 08:43:40 2017  R0: -1000000000000000000000000000000000000000000000
Tue Aug 08 08:43:40 2017  R1: 1
Tue Aug 08 08:43:40 2017  A0: -1
Tue Aug 08 08:43:40 2017  A1: 0
Tue Aug 08 08:43:40 2017  A2: 0
Tue Aug 08 08:43:40 2017  A3: -6
Tue Aug 08 08:43:40 2017  A4: 0
Tue Aug 08 08:43:40 2017  A5: 0
Tue Aug 08 08:43:40 2017  A6: 10
Tue Aug 08 08:43:40 2017  skew 0.68, size 2.135e-013, alpha 2.240, combined = 3.611e-014 rroots = 2
Tue Aug 08 08:43:40 2017  
Tue Aug 08 08:43:40 2017  commencing relation filtering
Tue Aug 08 08:43:40 2017  setting target matrix density to 120.0
Tue Aug 08 08:43:40 2017  estimated available RAM is 32739.1 MB
Tue Aug 08 08:43:40 2017  commencing duplicate removal, pass 1
Tue Aug 08 09:29:36 2017  error -1 reading relation 141429291
Tue Aug 08 09:29:37 2017  error -9 reading relation 141457092
Tue Aug 08 09:29:37 2017  error -5 reading relation 141470670
Tue Aug 08 09:29:37 2017  error -15 reading relation 141484815
Tue Aug 08 09:29:38 2017  error -9 reading relation 141511224
Tue Aug 08 09:29:39 2017  error -15 reading relation 141552922
Tue Aug 08 09:29:40 2017  error -9 reading relation 141579667
Tue Aug 08 09:45:49 2017  error -9 reading relation 191227414
Tue Aug 08 09:45:50 2017  error -9 reading relation 191253676
Tue Aug 08 09:45:50 2017  error -9 reading relation 191267287
Tue Aug 08 09:45:51 2017  error -9 reading relation 191306772
Tue Aug 08 09:46:22 2017  error -15 reading relation 192901100
Tue Aug 08 09:46:23 2017  error -9 reading relation 192939256
Tue Aug 08 09:46:23 2017  error -9 reading relation 192952864
Tue Aug 08 09:46:24 2017  error -5 reading relation 192967134
Tue Aug 08 09:46:24 2017  error -9 reading relation 192993762
Tue Aug 08 09:46:35 2017  error -9 reading relation 193534315
Tue Aug 08 09:46:36 2017  error -15 reading relation 193546645
Tue Aug 08 09:46:36 2017  error -9 reading relation 193571387
Tue Aug 08 09:46:36 2017  error -15 reading relation 193584818
Tue Aug 08 09:46:37 2017  error -15 reading relation 193597786
Tue Aug 08 09:46:37 2017  error -9 reading relation 193611207
Tue Aug 08 09:47:46 2017  error -9 reading relation 197084107
Tue Aug 08 09:47:46 2017  error -15 reading relation 197124852
Tue Aug 08 09:47:47 2017  error -1 reading relation 197137296
Tue Aug 08 10:11:07 2017  error -1 reading relation 268733059
Tue Aug 08 10:11:07 2017  error -9 reading relation 268757221
Tue Aug 08 10:11:07 2017  error -5 reading relation 268769805
Tue Aug 08 10:11:08 2017  error -1 reading relation 268781805
Tue Aug 08 10:11:08 2017  error -9 reading relation 268794582
Tue Aug 08 10:11:08 2017  error -15 reading relation 268806291
Tue Aug 08 10:40:24 2017  error -15 reading relation 358250493
Tue Aug 08 10:40:24 2017  error -9 reading relation 358261766
Tue Aug 08 10:40:24 2017  error -5 reading relation 358272511
Tue Aug 08 10:40:25 2017  error -15 reading relation 358284255
Tue Aug 08 10:40:25 2017  error -9 reading relation 358307250
Tue Aug 08 10:40:25 2017  error -9 reading relation 358318328
Tue Aug 08 10:40:26 2017  error -9 reading relation 358329780
Tue Aug 08 10:45:18 2017  error -9 reading relation 373227763
Tue Aug 08 10:45:18 2017  error -15 reading relation 373239297
Tue Aug 08 10:45:18 2017  error -5 reading relation 373250027
Tue Aug 08 10:45:19 2017  error -15 reading relation 373272569
Tue Aug 08 10:45:19 2017  error -15 reading relation 373283214
Tue Aug 08 10:45:20 2017  error -9 reading relation 373295217
Tue Aug 08 10:45:20 2017  error -9 reading relation 373307153
Tue Aug 08 10:45:21 2017  error -9 reading relation 373329269
Tue Aug 08 10:54:41 2017  skipped 4381 relations with b > 2^32
Tue Aug 08 10:54:41 2017  skipped 27 relations with composite factors
Tue Aug 08 10:54:41 2017  found 84872439 hash collisions in 401606094 relations
Tue Aug 08 10:55:24 2017  commencing duplicate removal, pass 2
Tue Aug 08 11:08:15 2017  found 77472948 duplicates and 324133146 unique relations
Tue Aug 08 11:08:15 2017  memory use: 2387.0 MB
Tue Aug 08 11:08:15 2017  reading ideals above 283967488
Tue Aug 08 11:08:15 2017  commencing singleton removal, initial pass
Tue Aug 08 12:27:27 2017  memory use: 6024.0 MB
Tue Aug 08 12:27:28 2017  reading all ideals from disk
Tue Aug 08 12:27:41 2017  memory use: 5534.4 MB
Tue Aug 08 12:28:01 2017  commencing in-memory singleton removal
Tue Aug 08 12:28:20 2017  begin with 324133146 relations and 295811760 unique ideals
Tue Aug 08 12:32:28 2017  reduce to 174135629 relations and 126673527 ideals in 18 passes
Tue Aug 08 12:32:28 2017  max relations containing the same ideal: 32
Tue Aug 08 12:32:48 2017  reading ideals above 720000
Tue Aug 08 12:32:49 2017  commencing singleton removal, initial pass
Tue Aug 08 13:28:23 2017  memory use: 3012.0 MB
Tue Aug 08 13:28:23 2017  reading all ideals from disk
Tue Aug 08 13:28:32 2017  memory use: 7385.4 MB
Tue Aug 08 13:29:08 2017  keeping 156597954 ideals with weight <= 200, target excess is 931272
Tue Aug 08 13:29:44 2017  commencing in-memory singleton removal
Tue Aug 08 13:30:14 2017  begin with 174135629 relations and 156597954 unique ideals
Tue Aug 08 13:36:23 2017  reduce to 174067126 relations and 156529445 ideals in 13 passes
Tue Aug 08 13:36:23 2017  max relations containing the same ideal: 200
Tue Aug 08 13:38:58 2017  removing 15682104 relations and 13682104 ideals in 2000000 cliques
Tue Aug 08 13:39:05 2017  commencing in-memory singleton removal
Tue Aug 08 13:39:32 2017  begin with 158385022 relations and 156529445 unique ideals
Tue Aug 08 13:44:15 2017  reduce to 157329708 relations and 141775954 ideals in 11 passes
Tue Aug 08 13:44:15 2017  max relations containing the same ideal: 195
Tue Aug 08 13:46:32 2017  removing 11683148 relations and 9683148 ideals in 2000000 cliques
Tue Aug 08 13:46:37 2017  commencing in-memory singleton removal
Tue Aug 08 13:47:02 2017  begin with 145646560 relations and 141775954 unique ideals
Tue Aug 08 13:50:34 2017  reduce to 144980903 relations and 131418572 ideals in 9 passes
Tue Aug 08 13:50:34 2017  max relations containing the same ideal: 188
Tue Aug 08 13:52:42 2017  removing 10445381 relations and 8445381 ideals in 2000000 cliques
Tue Aug 08 13:52:47 2017  commencing in-memory singleton removal
Tue Aug 08 13:53:10 2017  begin with 134535522 relations and 131418572 unique ideals
Tue Aug 08 13:56:03 2017  reduce to 133957051 relations and 122387154 ideals in 8 passes
Tue Aug 08 13:56:03 2017  max relations containing the same ideal: 179
Tue Aug 08 13:58:01 2017  removing 9782538 relations and 7782538 ideals in 2000000 cliques
Tue Aug 08 13:58:05 2017  commencing in-memory singleton removal
Tue Aug 08 13:58:26 2017  begin with 124174513 relations and 122387154 unique ideals
Tue Aug 08 14:01:24 2017  reduce to 123627808 relations and 114050517 ideals in 9 passes
Tue Aug 08 14:01:24 2017  max relations containing the same ideal: 169
Tue Aug 08 14:03:14 2017  removing 9360428 relations and 7360428 ideals in 2000000 cliques
Tue Aug 08 14:03:18 2017  commencing in-memory singleton removal
Tue Aug 08 14:03:38 2017  begin with 114267380 relations and 114050517 unique ideals
Tue Aug 08 14:06:22 2017  reduce to 113730477 relations and 106145740 ideals in 9 passes
Tue Aug 08 14:06:22 2017  max relations containing the same ideal: 162
Tue Aug 08 14:08:04 2017  removing 9076547 relations and 7076547 ideals in 2000000 cliques
Tue Aug 08 14:08:08 2017  commencing in-memory singleton removal
Tue Aug 08 14:08:25 2017  begin with 104653930 relations and 106145740 unique ideals
Tue Aug 08 14:10:39 2017  reduce to 104110437 relations and 98517544 ideals in 8 passes
Tue Aug 08 14:10:39 2017  max relations containing the same ideal: 152
Tue Aug 08 14:12:12 2017  removing 8876723 relations and 6876723 ideals in 2000000 cliques
Tue Aug 08 14:12:16 2017  commencing in-memory singleton removal
Tue Aug 08 14:12:32 2017  begin with 95233714 relations and 98517544 unique ideals
Tue Aug 08 14:14:32 2017  reduce to 94668087 relations and 91065950 ideals in 8 passes
Tue Aug 08 14:14:32 2017  max relations containing the same ideal: 145
Tue Aug 08 14:15:57 2017  removing 8737448 relations and 6737448 ideals in 2000000 cliques
Tue Aug 08 14:16:01 2017  commencing in-memory singleton removal
Tue Aug 08 14:16:15 2017  begin with 85930639 relations and 91065950 unique ideals
Tue Aug 08 14:18:03 2017  reduce to 85330424 relations and 83717510 ideals in 8 passes
Tue Aug 08 14:18:03 2017  max relations containing the same ideal: 135
Tue Aug 08 14:19:21 2017  removing 2981153 relations and 2448515 ideals in 532638 cliques
Tue Aug 08 14:19:23 2017  commencing in-memory singleton removal
Tue Aug 08 14:19:37 2017  begin with 82349271 relations and 83717510 unique ideals
Tue Aug 08 14:21:08 2017  reduce to 82280427 relations and 81199753 ideals in 7 passes
Tue Aug 08 14:21:08 2017  max relations containing the same ideal: 132
Tue Aug 08 14:22:40 2017  relations with 0 large ideals: 11896
Tue Aug 08 14:22:40 2017  relations with 1 large ideals: 5122
Tue Aug 08 14:22:40 2017  relations with 2 large ideals: 93526
Tue Aug 08 14:22:40 2017  relations with 3 large ideals: 798135
Tue Aug 08 14:22:40 2017  relations with 4 large ideals: 3728303
Tue Aug 08 14:22:40 2017  relations with 5 large ideals: 10548529
Tue Aug 08 14:22:40 2017  relations with 6 large ideals: 18905744
Tue Aug 08 14:22:40 2017  relations with 7+ large ideals: 48189172
Tue Aug 08 14:22:40 2017  commencing 2-way merge
Tue Aug 08 14:24:22 2017  reduce to 51673680 relation sets and 50593006 unique ideals
Tue Aug 08 14:24:22 2017  commencing full merge
Tue Aug 08 15:01:49 2017  memory use: 6576.1 MB
Tue Aug 08 15:01:59 2017  found 23633428 cycles, need 23581206
Tue Aug 08 15:02:02 2017  weight of 23581206 cycles is about 2830438440 (120.03/cycle)
Tue Aug 08 15:02:02 2017  distribution of cycle lengths:
Tue Aug 08 15:02:02 2017  1 relations: 1403377
Tue Aug 08 15:02:02 2017  2 relations: 1721720
Tue Aug 08 15:02:02 2017  3 relations: 1879441
Tue Aug 08 15:02:02 2017  4 relations: 1848610
Tue Aug 08 15:02:02 2017  5 relations: 1819242
Tue Aug 08 15:02:02 2017  6 relations: 1736788
Tue Aug 08 15:02:02 2017  7 relations: 1641501
Tue Aug 08 15:02:02 2017  8 relations: 1543508
Tue Aug 08 15:02:02 2017  9 relations: 1431344
Tue Aug 08 15:02:02 2017  10+ relations: 8555675
Tue Aug 08 15:02:02 2017  heaviest cycle: 28 relations
Tue Aug 08 15:02:16 2017  commencing cycle optimization
Tue Aug 08 15:03:29 2017  start with 196185932 relations
Tue Aug 08 15:18:29 2017  pruned 7739262 relations
Tue Aug 08 15:18:29 2017  memory use: 5429.1 MB
Tue Aug 08 15:18:29 2017  distribution of cycle lengths:
Tue Aug 08 15:18:29 2017  1 relations: 1403377
Tue Aug 08 15:18:29 2017  2 relations: 1765921
Tue Aug 08 15:18:29 2017  3 relations: 1958163
Tue Aug 08 15:18:29 2017  4 relations: 1918161
Tue Aug 08 15:18:29 2017  5 relations: 1896838
Tue Aug 08 15:18:29 2017  6 relations: 1802415
Tue Aug 08 15:18:29 2017  7 relations: 1705128
Tue Aug 08 15:18:29 2017  8 relations: 1594712
Tue Aug 08 15:18:29 2017  9 relations: 1474971
Tue Aug 08 15:18:29 2017  10+ relations: 8061520
Tue Aug 08 15:18:29 2017  heaviest cycle: 28 relations
Tue Aug 08 15:21:08 2017  RelProcTime: 23848
Tue Aug 08 15:21:08 2017  elapsed time 06:37:30
Tue Aug  8 15:21:35 2017  
Tue Aug  8 15:21:35 2017  
Tue Aug  8 15:21:35 2017  Msieve v. 1.53 (SVN 975)
Tue Aug  8 15:21:35 2017  random seeds: fc80bc6c 26dfa7ec
Tue Aug  8 15:21:35 2017  MPI process 0 of 2
Tue Aug  8 15:21:35 2017  factoring 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 (257 digits)
Tue Aug  8 15:21:38 2017  no P-1/P+1/ECM available, skipping
Tue Aug  8 15:21:38 2017  commencing number field sieve (257-digit input)
Tue Aug  8 15:21:38 2017  R0: -1000000000000000000000000000000000000000000000
Tue Aug  8 15:21:38 2017  R1: 1
Tue Aug  8 15:21:38 2017  A0: -1
Tue Aug  8 15:21:38 2017  A1: 0
Tue Aug  8 15:21:38 2017  A2: 0
Tue Aug  8 15:21:38 2017  A3: -6
Tue Aug  8 15:21:38 2017  A4: 0
Tue Aug  8 15:21:38 2017  A5: 0
Tue Aug  8 15:21:38 2017  A6: 10
Tue Aug  8 15:21:38 2017  skew 0.68, size 2.135e-13, alpha 2.240, combined = 3.611e-14 rroots = 2
Tue Aug  8 15:21:38 2017  
Tue Aug  8 15:21:38 2017  commencing linear algebra
Tue Aug  8 15:21:39 2017  initialized process (0,0) of 1 x 2 grid
Tue Aug  8 15:21:51 2017  read 23581206 cycles
Tue Aug  8 15:22:59 2017  cycles contain 81630786 unique relations
Tue Aug  8 15:46:51 2017  read 81630786 relations
Tue Aug  8 15:50:48 2017  using 20 quadratic characters above 4294917296
Tue Aug  8 15:58:40 2017  building initial matrix
Tue Aug  8 16:22:32 2017  memory use: 10893.1 MB
Tue Aug  8 16:23:25 2017  read 23581206 cycles
Tue Aug  8 16:23:29 2017  matrix is 23581028 x 23581206 (11038.4 MB) with weight 3150438589 (133.60/col)
Tue Aug  8 16:23:29 2017  sparse part has weight 2657831366 (112.71/col)
Tue Aug  8 16:32:45 2017  filtering completed in 2 passes
Tue Aug  8 16:32:52 2017  matrix is 23580597 x 23580775 (11038.3 MB) with weight 3150426141 (133.60/col)
Tue Aug  8 16:32:52 2017  sparse part has weight 2657827868 (112.71/col)
Tue Aug  8 16:35:37 2017  matrix starts at (0, 0)
Tue Aug  8 16:35:40 2017  matrix is 23580597 x 11790377 (5519.2 MB) with weight 1575204430 (133.60/col)
Tue Aug  8 16:35:40 2017  sparse part has weight 1328914084 (112.71/col)
Tue Aug  8 16:35:40 2017  saving the first 48 matrix rows for later
Tue Aug  8 16:35:44 2017  matrix includes 64 packed rows
Tue Aug  8 16:35:51 2017  matrix is 23580549 x 11790377 (5311.4 MB) with weight 1346599263 (114.21/col)
Tue Aug  8 16:35:51 2017  sparse part has weight 1274444361 (108.09/col)
Tue Aug  8 16:35:51 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue Aug  8 16:37:54 2017  commencing Lanczos iteration (6 threads)
Tue Aug  8 16:37:54 2017  memory use: 4686.3 MB
Tue Aug  8 16:40:06 2017  linear algebra at 0.0%, ETA 367h14m
Tue Aug  8 16:40:34 2017  checkpointing every 70000 dimensions

<Paused from 2017.08.18 to 2017.09.18>

Mon Sep 18 09:07:51 2017  
Mon Sep 18 09:07:51 2017  
Mon Sep 18 09:07:51 2017  Msieve v. 1.53 (SVN 975)
Mon Sep 18 09:07:51 2017  random seeds: b5c3dd3f 299fb760
Mon Sep 18 09:07:51 2017  MPI process 0 of 2
Mon Sep 18 09:07:51 2017  factoring 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 (257 digits)
Mon Sep 18 09:07:55 2017  no P-1/P+1/ECM available, skipping
Mon Sep 18 09:07:55 2017  commencing number field sieve (257-digit input)
Mon Sep 18 09:07:55 2017  R0: -1000000000000000000000000000000000000000000000
Mon Sep 18 09:07:55 2017  R1: 1
Mon Sep 18 09:07:55 2017  A0: -1
Mon Sep 18 09:07:55 2017  A1: 0
Mon Sep 18 09:07:55 2017  A2: 0
Mon Sep 18 09:07:55 2017  A3: -6
Mon Sep 18 09:07:55 2017  A4: 0
Mon Sep 18 09:07:55 2017  A5: 0
Mon Sep 18 09:07:55 2017  A6: 10
Mon Sep 18 09:07:55 2017  skew 0.68, size 2.135e-13, alpha 2.240, combined = 3.611e-14 rroots = 2
Mon Sep 18 09:07:55 2017  
Mon Sep 18 09:07:55 2017  commencing linear algebra
Mon Sep 18 09:07:55 2017  initialized process (0,0) of 1 x 2 grid
Mon Sep 18 09:08:25 2017  matrix starts at (0, 0)
Mon Sep 18 09:08:28 2017  matrix is 23580597 x 11790377 (5519.2 MB) with weight 1575204430 (133.60/col)
Mon Sep 18 09:08:28 2017  sparse part has weight 1328914084 (112.71/col)
Mon Sep 18 09:08:28 2017  saving the first 48 matrix rows for later
Mon Sep 18 09:08:34 2017  matrix includes 64 packed rows
Mon Sep 18 09:08:37 2017  matrix is 23580549 x 11790377 (5311.4 MB) with weight 1346599263 (114.21/col)
Mon Sep 18 09:08:37 2017  sparse part has weight 1274444361 (108.09/col)
Mon Sep 18 09:08:37 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Mon Sep 18 09:11:35 2017  commencing Lanczos iteration (6 threads)
Mon Sep 18 09:11:36 2017  memory use: 4686.3 MB
Mon Sep 18 09:11:38 2017  restarting at iteration 256817 (dim = 16240034)
Mon Sep 18 09:12:52 2017  linear algebra at 68.9%, ETA 99h18m
Mon Sep 18 09:13:17 2017  checkpointing every 80000 dimensions
Fri Sep 22 05:30:31 2017  lanczos halted after 372897 iterations (dim = 23580549)
Fri Sep 22 05:31:08 2017  recovered 38 nontrivial dependencies
Fri Sep 22 05:31:12 2017  BLanczosTime: 332597
Fri Sep 22 05:31:12 2017  elapsed time 92:23:21
Fri Sep 22 05:31:17 2017  
Fri Sep 22 05:31:17 2017  
Fri Sep 22 05:31:17 2017  Msieve v. 1.53 (SVN 983M)
Fri Sep 22 05:31:17 2017  random seeds: d49c0aa8 ba0444ea
Fri Sep 22 05:31:17 2017  factoring 89386598633625309564628050315430065985564286050545380994787242160677145780257923732811985085588576316230544503285072313953202572822350202905620071915268576477470548291972672799065410344896031886108742607623836948529452218022547827764066651027396262967435787 (257 digits)
Fri Sep 22 05:31:19 2017  no P-1/P+1/ECM available, skipping
Fri Sep 22 05:31:26 2017  commencing number field sieve (257-digit input)
Fri Sep 22 05:31:26 2017  R0: -1000000000000000000000000000000000000000000000
Fri Sep 22 05:31:26 2017  R1: 1
Fri Sep 22 05:31:26 2017  A0: -1
Fri Sep 22 05:31:26 2017  A1: 0
Fri Sep 22 05:31:26 2017  A2: 0
Fri Sep 22 05:31:26 2017  A3: -6
Fri Sep 22 05:31:26 2017  A4: 0
Fri Sep 22 05:31:26 2017  A5: 0
Fri Sep 22 05:31:26 2017  A6: 10
Fri Sep 22 05:31:26 2017  skew 0.68, size 2.135e-013, alpha 2.240, combined = 3.611e-014 rroots = 2
Fri Sep 22 05:31:26 2017  
Fri Sep 22 05:31:26 2017  commencing square root phase
Fri Sep 22 05:31:26 2017  reading relations for dependency 1
Fri Sep 22 05:31:39 2017  read 11793167 cycles
Fri Sep 22 05:32:11 2017  cycles contain 40822954 unique relations
Fri Sep 22 05:49:05 2017  read 40822954 relations
Fri Sep 22 05:54:23 2017  multiplying 40822954 relations
Fri Sep 22 06:51:23 2017  multiply complete, coefficients have about 1209.54 million bits
Fri Sep 22 06:51:42 2017  initial square root is modulo 266491
Fri Sep 22 07:54:12 2017  found factor: 422961752604309262723919932644152228271312094912251754127017293669416781836124168757774383124281358918245915722933
Fri Sep 22 07:54:12 2017  reading relations for dependency 2
Fri Sep 22 07:54:20 2017  read 11788503 cycles
Fri Sep 22 07:54:51 2017  cycles contain 40807728 unique relations
Fri Sep 22 08:11:44 2017  read 40807728 relations
Fri Sep 22 08:17:01 2017  multiplying 40807728 relations
Fri Sep 22 09:13:59 2017  multiply complete, coefficients have about 1209.09 million bits
Fri Sep 22 09:14:12 2017  initial square root is modulo 265261
Fri Sep 22 10:17:19 2017  sqrtTime: 17153
Fri Sep 22 10:17:19 2017  p67 factor: 5375652217547636986656185554144587437248797877669895901218949071699
Fri Sep 22 10:17:19 2017  p77 factor: 39313358869663888029062007245359137802472298114122238576557843034274035317861
Fri Sep 22 10:17:19 2017  p114 factor: 422961752604309262723919932644152228271312094912251754127017293669416781836124168757774383124281358918245915722933
Fri Sep 22 10:17:19 2017  elapsed time 04:46:02

<Full log at https://pastebin.com/WS0bbJFG>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 10, 2012 09:15:11 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 11 秒 (日本時間)
4511e61920Youcef LemsaferNovember 8, 2013 06:38:51 UTC 2013 年 11 月 8 日 (金) 15 時 38 分 51 秒 (日本時間)
5043e6640Youcef LemsaferJune 24, 2014 14:19:15 UTC 2014 年 6 月 24 日 (火) 23 時 19 分 15 秒 (日本時間)
5511e710336256Youcef LemsaferJune 24, 2014 14:19:15 UTC 2014 年 6 月 24 日 (火) 23 時 19 分 15 秒 (日本時間)
720Youcef LemsaferOctober 5, 2014 10:14:24 UTC 2014 年 10 月 5 日 (日) 19 時 14 分 24 秒 (日本時間)
720Youcef LemsaferDecember 22, 2016 08:53:12 UTC 2016 年 12 月 22 日 (木) 17 時 53 分 12 秒 (日本時間)
8640Youcef LemsaferJanuary 4, 2017 21:23:48 UTC 2017 年 1 月 5 日 (木) 6 時 23 分 48 秒 (日本時間)
6026e717280 / 36029Youcef LemsaferJanuary 30, 2017 09:13:26 UTC 2017 年 1 月 30 日 (月) 18 時 13 分 26 秒 (日本時間)
6585e7640 / 63640Youcef LemsaferFebruary 3, 2017 22:19:48 UTC 2017 年 2 月 4 日 (土) 7 時 19 分 48 秒 (日本時間)

10277-6×10138-13

c268

name 名前Warut Roonguthai
date 日付January 3, 2012 00:47:16 UTC 2012 年 1 月 3 日 (火) 9 時 47 分 16 秒 (日本時間)
composite number 合成数
5982661542093483426417893313150657106557788376776630540406823365961650626202820459615783317207458019620584833846619070801091895318741019972826595726611303846640841706443573504929754690182747893078157694394667852870508199093162162877478280974793549462976168325599783073<268>
prime factors 素因数
247408700319853260614278053443997361<36>
composite cofactor 合成数の残り
24181290045010619916202073814375412207659869686426753431566574695872788835894777013460629112511144291965866336480893576207486207643198427880329735085383151830055547763903060477058861001866371831600725299568548988191638505307600868593<233>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2917861356
Step 1 took 14617ms
Step 2 took 7988ms
********** Factor found in step 2: 247408700319853260614278053443997361
Found probable prime factor of 36 digits: 247408700319853260614278053443997361
Composite cofactor 24181290045010619916202073814375412207659869686426753431566574695872788835894777013460629112511144291965866336480893576207486207643198427880329735085383151830055547763903060477058861001866371831600725299568548988191638505307600868593 has 233 digits
software ソフトウェア
GMP-ECM 6.3

c233

name 名前Serge Batalov
date 日付January 3, 2012 15:01:14 UTC 2012 年 1 月 4 日 (水) 0 時 1 分 14 秒 (日本時間)
composite number 合成数
24181290045010619916202073814375412207659869686426753431566574695872788835894777013460629112511144291965866336480893576207486207643198427880329735085383151830055547763903060477058861001866371831600725299568548988191638505307600868593<233>
prime factors 素因数
275912785601071631989194169493869<33>
87641063796054476674716355892514722143448436568398016930476082456336673231672200930365194253973246669711210854151209268629591345490572960679863386483058158685287132712761785343587803040685391844395797<200>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=49713033
Step 1 took 15213ms
********** Factor found in step 1: 275912785601071631989194169493869
Found probable prime factor of 33 digits: 275912785601071631989194169493869
Cofactor 87641063796054476674716355892514722143448436568398016930476082456336673231672200930365194253973246669711210854151209268629591345490572960679863386483058158685287132712761785343587803040685391844395797 is prime

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)

10279-6×10139-13

c278

name 名前Youcef Lemsafer
date 日付May 30, 2018 09:31:04 UTC 2018 年 5 月 30 日 (水) 18 時 31 分 4 秒 (日本時間)
composite number 合成数
10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043<278>
prime factors 素因数
9825388657218136632064538837022993809641518477680343369714822419744915859853<76>
1094377896608053419633415033595762921128565377078372868046447366057020554523030555082003544293725067483320566697330491311066655804250077888733766779014643173206494343377365303796782096263675993982282231<202>
factorization results 素因数分解の結果
<62753 thread.hour of sieving using 8 threads on Intel Xeon E5-1650v3>
<and 12 threads on Intel Core i7-5820K.>
<Post-processing on Intel Core i7-5820K running Debian Linux.>

<Full log at https://pastebin.com/Y6pjy7zD>

<Partial log:>

Tue Apr 10 17:59:06 2018  Msieve v. 1.54 (SVN 1017)
Tue Apr 10 17:59:06 2018  random seeds: 71e68d1f f60328a5
Tue Apr 10 17:59:06 2018  factoring 10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043 (278 digits)
Tue Apr 10 17:59:08 2018  no P-1/P+1/ECM available, skipping
Tue Apr 10 17:59:08 2018  commencing number field sieve (278-digit input)
Tue Apr 10 17:59:08 2018  R0: -10000000000000000000000000000000000000000000000
Tue Apr 10 17:59:08 2018  R1: 1
Tue Apr 10 17:59:08 2018  A0: -1
Tue Apr 10 17:59:08 2018  A1: 0
Tue Apr 10 17:59:08 2018  A2: 0
Tue Apr 10 17:59:08 2018  A3: -60
Tue Apr 10 17:59:08 2018  A4: 0
Tue Apr 10 17:59:08 2018  A5: 0
Tue Apr 10 17:59:08 2018  A6: 1000
Tue Apr 10 17:59:08 2018  skew 0.32, size 9.510e-14, alpha 0.082, combined = 1.947e-14 rroots = 2
Tue Apr 10 17:59:08 2018  
Tue Apr 10 17:59:08 2018  commencing relation filtering
Tue Apr 10 17:59:08 2018  setting target matrix density to 112.0
Tue Apr 10 17:59:08 2018  estimated available RAM is 64326.0 MB
Tue Apr 10 17:59:08 2018  commencing duplicate removal, pass 1
Tue Apr 10 18:22:25 2018  error -9 reading relation 175008005
Tue Apr 10 18:22:26 2018  error -5 reading relation 175036295
Tue Apr 10 18:22:26 2018  error -9 reading relation 175064902
Tue Apr 10 18:22:26 2018  error -15 reading relation 175123162
Tue Apr 10 18:22:26 2018  error -9 reading relation 175151603
Tue Apr 10 18:22:27 2018  error -9 reading relation 175180826
Tue Apr 10 18:22:27 2018  error -9 reading relation 175209655
Tue Apr 10 19:00:44 2018  error -5 reading relation 460770144
Tue Apr 10 19:14:15 2018  error -15 reading relation 560995288
Tue Apr 10 19:14:15 2018  error -9 reading relation 561016451
Tue Apr 10 19:14:15 2018  error -9 reading relation 561037878
Tue Apr 10 19:14:15 2018  error -5 reading relation 561079048
Tue Apr 10 19:14:16 2018  error -5 reading relation 561122093
Tue Apr 10 19:15:57 2018  error -15 reading relation 573667480
Tue Apr 10 19:15:57 2018  error -1 reading relation 573688489
Tue Apr 10 19:15:57 2018  error -1 reading relation 573709245
Tue Apr 10 19:15:57 2018  error -9 reading relation 573730762
Tue Apr 10 19:15:58 2018  error -9 reading relation 573752419
Tue Apr 10 19:15:58 2018  error -9 reading relation 573773310
Tue Apr 10 19:15:58 2018  error -9 reading relation 573793419
Tue Apr 10 19:15:58 2018  error -15 reading relation 573813849
Tue Apr 10 19:15:58 2018  error -9 reading relation 573833292
Tue Apr 10 19:15:58 2018  error -9 reading relation 573853600
Tue Apr 10 19:15:59 2018  error -9 reading relation 573893886
Tue Apr 10 19:16:09 2018  error -15 reading relation 575173409
Tue Apr 10 19:16:09 2018  error -5 reading relation 575194584
Tue Apr 10 19:16:09 2018  error -1 reading relation 575214685
Tue Apr 10 19:16:10 2018  error -9 reading relation 575235142
Tue Apr 10 19:16:10 2018  error -15 reading relation 575254797
Tue Apr 10 19:16:10 2018  error -15 reading relation 575319212
Tue Apr 10 19:16:10 2018  error -1 reading relation 575340398
Tue Apr 10 19:16:11 2018  error -15 reading relation 575361295
Tue Apr 10 19:34:20 2018  error -15 reading relation 709952438
Tue Apr 10 19:34:20 2018  error -9 reading relation 710010756
Tue Apr 10 19:34:21 2018  error -9 reading relation 710029358
Tue Apr 10 19:34:21 2018  error -15 reading relation 710048855
Tue Apr 10 19:34:21 2018  error -15 reading relation 710067603
Tue Apr 10 19:34:21 2018  error -15 reading relation 710086907
Tue Apr 10 19:35:05 2018  error -15 reading relation 715578581
Tue Apr 10 19:35:06 2018  error -9 reading relation 715597505
Tue Apr 10 19:35:06 2018  error -5 reading relation 715616637
Tue Apr 10 19:35:06 2018  error -1 reading relation 715655435
Tue Apr 10 19:35:06 2018  error -1 reading relation 715693392
Tue Apr 10 19:35:07 2018  error -15 reading relation 715711948
Tue Apr 10 19:47:05 2018  skipped 28773 relations with b > 2^32
Tue Apr 10 19:47:05 2018  skipped 14 relations with composite factors
Tue Apr 10 19:47:05 2018  found 214507025 hash collisions in 803304742 relations
Tue Apr 10 19:47:17 2018  commencing duplicate removal, pass 2
Tue Apr 10 20:02:36 2018  found 203450249 duplicates and 599854493 unique relations
Tue Apr 10 20:02:36 2018  memory use: 4518.0 MB
Tue Apr 10 20:02:36 2018  reading ideals above 323289088
Tue Apr 10 20:02:36 2018  commencing singleton removal, initial pass
Tue Apr 10 21:08:14 2018  memory use: 11024.0 MB
Tue Apr 10 21:08:15 2018  reading all ideals from disk
Tue Apr 10 21:08:38 2018  memory use: 11259.3 MB
Tue Apr 10 21:09:11 2018  commencing in-memory singleton removal
Tue Apr 10 21:09:43 2018  begin with 599854493 relations and 581184339 unique ideals
Tue Apr 10 21:15:34 2018  reduce to 296984673 relations and 236154756 ideals in 20 passes
Tue Apr 10 21:15:34 2018  max relations containing the same ideal: 26
Tue Apr 10 21:15:53 2018  reading ideals above 720000
Tue Apr 10 21:15:53 2018  commencing singleton removal, initial pass
Tue Apr 10 22:01:19 2018  memory use: 6024.0 MB
Tue Apr 10 22:01:19 2018  reading all ideals from disk
Tue Apr 10 22:01:45 2018  memory use: 12709.2 MB
Tue Apr 10 22:02:33 2018  keeping 269512942 ideals with weight <= 200, target excess is 1528432
Tue Apr 10 22:03:18 2018  commencing in-memory singleton removal
Tue Apr 10 22:03:51 2018  begin with 296984673 relations and 269512942 unique ideals
Tue Apr 10 22:09:40 2018  reduce to 296959115 relations and 269487384 ideals in 11 passes
Tue Apr 10 22:09:40 2018  max relations containing the same ideal: 200
Tue Apr 10 22:12:29 2018  removing 20508844 relations and 18508844 ideals in 2000000 cliques
Tue Apr 10 22:12:36 2018  commencing in-memory singleton removal
Tue Apr 10 22:13:07 2018  begin with 276450271 relations and 269487384 unique ideals
Tue Apr 10 22:18:02 2018  reduce to 275208166 relations and 249723592 ideals in 10 passes
Tue Apr 10 22:18:02 2018  max relations containing the same ideal: 199
Tue Apr 10 22:20:39 2018  removing 15063965 relations and 13063965 ideals in 2000000 cliques
Tue Apr 10 22:20:45 2018  commencing in-memory singleton removal
Tue Apr 10 22:21:14 2018  begin with 260144201 relations and 249723592 unique ideals
Tue Apr 10 22:26:19 2018  reduce to 259409025 relations and 235918102 ideals in 11 passes
Tue Apr 10 22:26:19 2018  max relations containing the same ideal: 193
Tue Apr 10 22:28:45 2018  removing 13341635 relations and 11341635 ideals in 2000000 cliques
Tue Apr 10 22:28:51 2018  commencing in-memory singleton removal
Tue Apr 10 22:29:19 2018  begin with 246067390 relations and 235918102 unique ideals
Tue Apr 10 22:33:15 2018  reduce to 245448934 relations and 223952939 ideals in 9 passes
Tue Apr 10 22:33:15 2018  max relations containing the same ideal: 186
Tue Apr 10 22:35:35 2018  removing 12420805 relations and 10420805 ideals in 2000000 cliques
Tue Apr 10 22:35:40 2018  commencing in-memory singleton removal
Tue Apr 10 22:36:06 2018  begin with 233028129 relations and 223952939 unique ideals
Tue Apr 10 22:39:49 2018  reduce to 232462876 relations and 212962239 ideals in 9 passes
Tue Apr 10 22:39:49 2018  max relations containing the same ideal: 183
Tue Apr 10 22:42:02 2018  removing 11825064 relations and 9825064 ideals in 2000000 cliques
Tue Apr 10 22:42:07 2018  commencing in-memory singleton removal
Tue Apr 10 22:42:31 2018  begin with 220637812 relations and 212962239 unique ideals
Tue Apr 10 22:46:02 2018  reduce to 220097347 relations and 202592204 ideals in 9 passes
Tue Apr 10 22:46:02 2018  max relations containing the same ideal: 177
Tue Apr 10 22:48:09 2018  removing 11414810 relations and 9414810 ideals in 2000000 cliques
Tue Apr 10 22:48:14 2018  commencing in-memory singleton removal
Tue Apr 10 22:48:36 2018  begin with 208682537 relations and 202592204 unique ideals
Tue Apr 10 22:51:54 2018  reduce to 208152532 relations and 192642934 ideals in 9 passes
Tue Apr 10 22:51:54 2018  max relations containing the same ideal: 168
Tue Apr 10 22:53:55 2018  removing 11121306 relations and 9121306 ideals in 2000000 cliques
Tue Apr 10 22:53:59 2018  commencing in-memory singleton removal
Tue Apr 10 22:54:21 2018  begin with 197031226 relations and 192642934 unique ideals
Tue Apr 10 22:57:27 2018  reduce to 196501158 relations and 182986746 ideals in 9 passes
Tue Apr 10 22:57:27 2018  max relations containing the same ideal: 162
Tue Apr 10 22:59:21 2018  removing 10911984 relations and 8911984 ideals in 2000000 cliques
Tue Apr 10 22:59:25 2018  commencing in-memory singleton removal
Tue Apr 10 22:59:46 2018  begin with 185589174 relations and 182986746 unique ideals
Tue Apr 10 23:02:40 2018  reduce to 185048204 relations and 173528723 ideals in 9 passes
Tue Apr 10 23:02:40 2018  max relations containing the same ideal: 159
Tue Apr 10 23:04:26 2018  removing 10761994 relations and 8761994 ideals in 2000000 cliques
Tue Apr 10 23:04:30 2018  commencing in-memory singleton removal
Tue Apr 10 23:04:49 2018  begin with 174286210 relations and 173528723 unique ideals
Tue Apr 10 23:07:51 2018  reduce to 173728401 relations and 164203552 ideals in 10 passes
Tue Apr 10 23:07:51 2018  max relations containing the same ideal: 151
Tue Apr 10 23:09:32 2018  removing 10667262 relations and 8667262 ideals in 2000000 cliques
Tue Apr 10 23:09:36 2018  commencing in-memory singleton removal
Tue Apr 10 23:09:53 2018  begin with 163061139 relations and 164203552 unique ideals
Tue Apr 10 23:12:42 2018  reduce to 162477648 relations and 154946698 ideals in 10 passes
Tue Apr 10 23:12:42 2018  max relations containing the same ideal: 145
Tue Apr 10 23:14:18 2018  removing 10617793 relations and 8617793 ideals in 2000000 cliques
Tue Apr 10 23:14:22 2018  commencing in-memory singleton removal
Tue Apr 10 23:14:38 2018  begin with 151859855 relations and 154946698 unique ideals
Tue Apr 10 23:16:59 2018  reduce to 151241181 relations and 145703374 ideals in 9 passes
Tue Apr 10 23:16:59 2018  max relations containing the same ideal: 138
Tue Apr 10 23:18:27 2018  removing 10611407 relations and 8611407 ideals in 2000000 cliques
Tue Apr 10 23:18:31 2018  commencing in-memory singleton removal
Tue Apr 10 23:18:46 2018  begin with 140629774 relations and 145703374 unique ideals
Tue Apr 10 23:20:56 2018  reduce to 139963392 relations and 136417776 ideals in 9 passes
Tue Apr 10 23:20:56 2018  max relations containing the same ideal: 128
Tue Apr 10 23:22:18 2018  removing 9655967 relations and 7883333 ideals in 1772634 cliques
Tue Apr 10 23:22:22 2018  commencing in-memory singleton removal
Tue Apr 10 23:22:35 2018  begin with 130307425 relations and 136417776 unique ideals
Tue Apr 10 23:24:35 2018  reduce to 129717899 relations and 127938313 ideals in 9 passes
Tue Apr 10 23:24:35 2018  max relations containing the same ideal: 120
Tue Apr 10 23:26:08 2018  relations with 0 large ideals: 58228
Tue Apr 10 23:26:08 2018  relations with 1 large ideals: 18054
Tue Apr 10 23:26:08 2018  relations with 2 large ideals: 258007
Tue Apr 10 23:26:08 2018  relations with 3 large ideals: 1964521
Tue Apr 10 23:26:08 2018  relations with 4 large ideals: 8239355
Tue Apr 10 23:26:08 2018  relations with 5 large ideals: 20785143
Tue Apr 10 23:26:08 2018  relations with 6 large ideals: 32872703
Tue Apr 10 23:26:08 2018  relations with 7+ large ideals: 65521888
Tue Apr 10 23:26:08 2018  commencing 2-way merge
Tue Apr 10 23:27:49 2018  reduce to 76893841 relation sets and 75114255 unique ideals
Tue Apr 10 23:27:49 2018  commencing full merge
Tue Apr 10 23:58:32 2018  memory use: 9399.2 MB
Tue Apr 10 23:58:39 2018  found 34676090 cycles, need 34670455
Tue Apr 10 23:58:48 2018  weight of 34670455 cycles is about 3883646710 (112.02/cycle)
Tue Apr 10 23:58:48 2018  distribution of cycle lengths:
Tue Apr 10 23:58:48 2018  1 relations: 3360678
Tue Apr 10 23:58:48 2018  2 relations: 2912609
Tue Apr 10 23:58:48 2018  3 relations: 2790433
Tue Apr 10 23:58:48 2018  4 relations: 2636239
Tue Apr 10 23:58:48 2018  5 relations: 2514028
Tue Apr 10 23:58:48 2018  6 relations: 2324830
Tue Apr 10 23:58:48 2018  7 relations: 2199272
Tue Apr 10 23:58:48 2018  8 relations: 2033323
Tue Apr 10 23:58:48 2018  9 relations: 1859918
Tue Apr 10 23:58:48 2018  10+ relations: 12039125
Tue Apr 10 23:58:48 2018  heaviest cycle: 28 relations
Tue Apr 10 23:58:56 2018  commencing cycle optimization
Wed Apr 11 00:00:06 2018  start with 279606333 relations
Wed Apr 11 00:10:15 2018  pruned 8679319 relations
Wed Apr 11 00:10:15 2018  memory use: 8151.5 MB
Wed Apr 11 00:10:15 2018  distribution of cycle lengths:
Wed Apr 11 00:10:15 2018  1 relations: 3360678
Wed Apr 11 00:10:15 2018  2 relations: 2974244
Wed Apr 11 00:10:15 2018  3 relations: 2886946
Wed Apr 11 00:10:15 2018  4 relations: 2711994
Wed Apr 11 00:10:15 2018  5 relations: 2594795
Wed Apr 11 00:10:15 2018  6 relations: 2389822
Wed Apr 11 00:10:15 2018  7 relations: 2258810
Wed Apr 11 00:10:15 2018  8 relations: 2076623
Wed Apr 11 00:10:15 2018  9 relations: 1898400
Wed Apr 11 00:10:15 2018  10+ relations: 11518143
Wed Apr 11 00:10:15 2018  heaviest cycle: 28 relations
Wed Apr 11 00:11:34 2018  RelProcTime: 22346
Wed Apr 11 00:11:44 2018  
Wed Apr 11 00:11:44 2018  commencing linear algebra
Wed Apr 11 00:11:48 2018  read 34670455 cycles
Wed Apr 11 00:13:01 2018  cycles contain 128124650 unique relations
Wed Apr 11 00:32:50 2018  read 128124650 relations
Wed Apr 11 00:37:05 2018  using 20 quadratic characters above 4294917295
Wed Apr 11 00:45:35 2018  building initial matrix
Wed Apr 11 01:06:40 2018  memory use: 16797.2 MB
Wed Apr 11 01:07:20 2018  read 34670455 cycles
Wed Apr 11 01:07:24 2018  matrix is 34670278 x 34670455 (15510.2 MB) with weight 4525143816 (130.52/col)
Wed Apr 11 01:07:24 2018  sparse part has weight 3684521337 (106.27/col)
Wed Apr 11 01:16:05 2018  filtering completed in 2 passes
Wed Apr 11 01:16:11 2018  matrix is 34669466 x 34669643 (15510.1 MB) with weight 4525115655 (130.52/col)
Wed Apr 11 01:16:11 2018  sparse part has weight 3684513898 (106.27/col)
Wed Apr 11 01:19:11 2018  matrix starts at (0, 0)
Wed Apr 11 01:19:15 2018  matrix is 34669466 x 34669643 (15510.1 MB) with weight 4525115655 (130.52/col)
Wed Apr 11 01:19:15 2018  sparse part has weight 3684513898 (106.27/col)
Wed Apr 11 01:19:15 2018  saving the first 48 matrix rows for later
Wed Apr 11 01:19:20 2018  matrix includes 64 packed rows
Wed Apr 11 01:19:25 2018  matrix is 34669418 x 34669643 (14985.4 MB) with weight 3849297048 (111.03/col)
Wed Apr 11 01:19:25 2018  sparse part has weight 3581631486 (103.31/col)
Wed Apr 11 01:19:25 2018  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Wed Apr 11 01:22:46 2018  commencing Lanczos iteration (6 threads)
Wed Apr 11 01:22:46 2018  memory use: 13091.8 MB
Wed Apr 11 01:25:13 2018  linear algebra at 0.0%, ETA 890h29m
Wed Apr 11 01:25:56 2018  checkpointing every 40000 dimensions
Tue May  1 06:27:32 2018  lanczos halted after 305045 iterations (dim = 19289562)
Tue May  1 06:27:34 2018  BLanczosTime: 1750550
Tue May  1 06:27:34 2018  elapsed time 492:28:28
Sun May 13 17:50:29 2018  
Sun May 13 17:50:29 2018  
Sun May 13 17:50:29 2018  Msieve v. 1.54 (SVN 1017)
Sun May 13 17:50:29 2018  random seeds: d09685b1 c32b052b
Sun May 13 17:50:29 2018  factoring 10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043 (278 digits)
Sun May 13 17:50:31 2018  no P-1/P+1/ECM available, skipping
Sun May 13 17:50:31 2018  commencing number field sieve (278-digit input)
Sun May 13 17:50:31 2018  R0: -10000000000000000000000000000000000000000000000
Sun May 13 17:50:31 2018  R1: 1
Sun May 13 17:50:31 2018  A0: -1
Sun May 13 17:50:31 2018  A1: 0
Sun May 13 17:50:31 2018  A2: 0
Sun May 13 17:50:31 2018  A3: -60
Sun May 13 17:50:31 2018  A4: 0
Sun May 13 17:50:31 2018  A5: 0
Sun May 13 17:50:31 2018  A6: 1000
Sun May 13 17:50:31 2018  skew 0.32, size 9.510e-14, alpha 0.082, combined = 1.947e-14 rroots = 2
Sun May 13 17:50:31 2018  
Sun May 13 17:50:31 2018  commencing linear algebra
Sun May 13 17:51:03 2018  matrix starts at (0, 0)
Sun May 13 17:51:08 2018  matrix is 34669466 x 34669643 (15510.1 MB) with weight 4525115655 (130.52/col)
Sun May 13 17:51:08 2018  sparse part has weight 3684513898 (106.27/col)
Sun May 13 17:51:08 2018  saving the first 48 matrix rows for later
Sun May 13 17:51:13 2018  matrix includes 64 packed rows
Sun May 13 17:51:17 2018  matrix is 34669418 x 34669643 (14985.4 MB) with weight 3849297048 (111.03/col)
Sun May 13 17:51:17 2018  sparse part has weight 3581631486 (103.31/col)
Sun May 13 17:51:17 2018  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Sun May 13 17:54:44 2018  commencing Lanczos iteration (6 threads)
Sun May 13 17:54:44 2018  memory use: 13091.8 MB
Sun May 13 17:54:46 2018  restarting at iteration 305045 (dim = 19289562)
Sun May 13 17:55:27 2018  checkpointing every 40000 dimensions
Sun May 13 17:57:04 2018  linear algebra at 55.6%, ETA 387h19m
Tue May 22 20:47:31 2018  
Tue May 22 20:47:31 2018  
Tue May 22 20:47:31 2018  Msieve v. 1.54 (SVN 1017)
Tue May 22 20:47:31 2018  random seeds: f4ceddf4 45c8b05f
Tue May 22 20:47:31 2018  factoring 10752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043010752688172043 (278 digits)
Tue May 22 20:47:32 2018  no P-1/P+1/ECM available, skipping
Tue May 22 20:47:32 2018  commencing number field sieve (278-digit input)
Tue May 22 20:47:32 2018  R0: -10000000000000000000000000000000000000000000000
Tue May 22 20:47:32 2018  R1: 1
Tue May 22 20:47:32 2018  A0: -1
Tue May 22 20:47:32 2018  A1: 0
Tue May 22 20:47:32 2018  A2: 0
Tue May 22 20:47:32 2018  A3: -60
Tue May 22 20:47:32 2018  A4: 0
Tue May 22 20:47:32 2018  A5: 0
Tue May 22 20:47:32 2018  A6: 1000
Tue May 22 20:47:32 2018  skew 0.32, size 9.510e-14, alpha 0.082, combined = 1.947e-14 rroots = 2
Tue May 22 20:47:32 2018  
Tue May 22 20:47:32 2018  commencing linear algebra
Tue May 22 20:48:04 2018  matrix starts at (0, 0)
Tue May 22 20:48:09 2018  matrix is 34669466 x 34669643 (15510.1 MB) with weight 4525115655 (130.52/col)
Tue May 22 20:48:09 2018  sparse part has weight 3684513898 (106.27/col)
Tue May 22 20:48:09 2018  saving the first 48 matrix rows for later
Tue May 22 20:48:14 2018  matrix includes 64 packed rows
Tue May 22 20:48:18 2018  matrix is 34669418 x 34669643 (14985.4 MB) with weight 3849297048 (111.03/col)
Tue May 22 20:48:18 2018  sparse part has weight 3581631486 (103.31/col)
Tue May 22 20:48:18 2018  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Tue May 22 20:51:41 2018  commencing Lanczos iteration (6 threads)
Tue May 22 20:51:41 2018  memory use: 13091.8 MB
Tue May 22 20:51:44 2018  restarting at iteration 440892 (dim = 27880059)
Tue May 22 20:54:02 2018  linear algebra at 80.4%, ETA 171h45m
Tue May 22 20:54:43 2018  checkpointing every 40000 dimensions
Tue May 29 23:29:22 2018  lanczos halted after 548262 iterations (dim = 34669416)
Tue May 29 23:30:03 2018  recovered 36 nontrivial dependencies
Tue May 29 23:30:05 2018  BLanczosTime: 614553
Tue May 29 23:30:05 2018  
Tue May 29 23:30:05 2018  commencing square root phase
Tue May 29 23:30:05 2018  reading relations for dependency 1
Tue May 29 23:30:10 2018  read 17331353 cycles
Tue May 29 23:30:43 2018  cycles contain 64055624 unique relations
Tue May 29 23:45:32 2018  read 64055624 relations
Tue May 29 23:50:37 2018  multiplying 64055624 relations
Wed May 30 00:50:50 2018  multiply complete, coefficients have about 2290.11 million bits
Wed May 30 00:50:56 2018  initial square root is modulo 137117
Wed May 30 01:51:17 2018  sqrtTime: 8472
Wed May 30 01:51:17 2018  p76 factor: 9825388657218136632064538837022993809641518477680343369714822419744915859853
Wed May 30 01:51:17 2018  p202 factor: 1094377896608053419633415033595762921128565377078372868046447366057020554523030555082003544293725067483320566697330491311066655804250077888733766779014643173206494343377365303796782096263675993982282231
Wed May 30 01:51:17 2018  elapsed time 173:03:46

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e633181000Dmitry DomanovJanuary 7, 2012 20:46:53 UTC 2012 年 1 月 8 日 (日) 5 時 46 分 53 秒 (日本時間)
1000Dmitry DomanovJanuary 10, 2012 09:15:21 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 21 秒 (日本時間)
1318Wataru SakaiJanuary 11, 2012 06:16:41 UTC 2012 年 1 月 11 日 (水) 15 時 16 分 41 秒 (日本時間)
4511e60--
5043e61040240Dmitry DomanovJanuary 22, 2012 17:42:16 UTC 2012 年 1 月 23 日 (月) 2 時 42 分 16 秒 (日本時間)
800Dmitry DomanovJanuary 23, 2012 14:56:40 UTC 2012 年 1 月 23 日 (月) 23 時 56 分 40 秒 (日本時間)
5511e71340010Dmitry DomanovJanuary 23, 2012 14:56:40 UTC 2012 年 1 月 23 日 (月) 23 時 56 分 40 秒 (日本時間)
2660yoyo@homeSeptember 6, 2012 03:40:25 UTC 2012 年 9 月 6 日 (木) 12 時 40 分 25 秒 (日本時間)
10730Youcef LemsaferAugust 18, 2017 22:43:31 UTC 2017 年 8 月 19 日 (土) 7 時 43 分 31 秒 (日本時間)
6026e7345642Dmitry DomanovJanuary 23, 2012 14:56:40 UTC 2012 年 1 月 23 日 (月) 23 時 56 分 40 秒 (日本時間)
17280Youcef LemsaferNovember 2, 2017 10:57:28 UTC 2017 年 11 月 2 日 (木) 19 時 57 分 28 秒 (日本時間)
17282Anonymous ECMNovember 18, 2017 21:21:43 UTC 2017 年 11 月 19 日 (日) 6 時 21 分 43 秒 (日本時間)
6585e714400 / 585573600Youcef LemsaferNovember 2, 2017 10:57:28 UTC 2017 年 11 月 2 日 (木) 19 時 57 分 28 秒 (日本時間)
3600Anonymous ECMNovember 18, 2017 21:21:43 UTC 2017 年 11 月 19 日 (日) 6 時 21 分 43 秒 (日本時間)
3600Anonymous ECMNovember 18, 2017 21:21:48 UTC 2017 年 11 月 19 日 (日) 6 時 21 分 48 秒 (日本時間)
3600Anonymous ECMNovember 18, 2017 21:22:03 UTC 2017 年 11 月 19 日 (日) 6 時 22 分 3 秒 (日本時間)

10281-6×10140-13

c265

composite cofactor 合成数の残り
5244732736984531698490383866715862152666285834295445968102672622643131099697676793515559300447628986763742794746290593274490146441187548220787807142917484276441025870943149101188717874890646662019099603686534452521394784185397519751168387127656633874852703922504843<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovJanuary 10, 2012 09:15:30 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 30 秒 (日本時間)
1440Youcef LemsaferDecember 17, 2013 04:59:58 UTC 2013 年 12 月 17 日 (火) 13 時 59 分 58 秒 (日本時間)
4511e63072Youcef LemsaferJune 27, 2014 10:32:03 UTC 2014 年 6 月 27 日 (金) 19 時 32 分 3 秒 (日本時間)
5043e6640Youcef LemsaferJune 29, 2014 11:16:35 UTC 2014 年 6 月 29 日 (日) 20 時 16 分 35 秒 (日本時間)
5511e7438464Youcef LemsaferJune 29, 2014 11:16:35 UTC 2014 年 6 月 29 日 (日) 20 時 16 分 35 秒 (日本時間)
720Youcef LemsaferOctober 10, 2014 12:30:41 UTC 2014 年 10 月 10 日 (金) 21 時 30 分 41 秒 (日本時間)
720Youcef LemsaferJanuary 12, 2017 08:54:57 UTC 2017 年 1 月 12 日 (木) 17 時 54 分 57 秒 (日本時間)
720Youcef LemsaferMay 10, 2017 10:07:54 UTC 2017 年 5 月 10 日 (水) 19 時 7 分 54 秒 (日本時間)
720Youcef LemsaferAugust 4, 2017 14:14:15 UTC 2017 年 8 月 4 日 (金) 23 時 14 分 15 秒 (日本時間)
1440Youcef LemsaferApril 27, 2018 07:22:34 UTC 2018 年 4 月 27 日 (金) 16 時 22 分 34 秒 (日本時間)
6026e75760 / 29121720Youcef LemsaferMay 18, 2018 08:33:28 UTC 2018 年 5 月 18 日 (金) 17 時 33 分 28 秒 (日本時間)
2880Youcef LemsaferJune 11, 2018 06:39:32 UTC 2018 年 6 月 11 日 (月) 15 時 39 分 32 秒 (日本時間)
2160Youcef LemsaferJune 20, 2018 16:10:45 UTC 2018 年 6 月 21 日 (木) 1 時 10 分 45 秒 (日本時間)
6585e73600 / 67382Youcef LemsaferSeptember 3, 2018 18:13:38 UTC 2018 年 9 月 4 日 (火) 3 時 13 分 38 秒 (日本時間)

10287-6×10143-13

c252

composite cofactor 合成数の残り
879322680312245882826000214961445157435011465811142133354478813896705573408864872952628447731770746925331896603914507124481395680872278258649732253794425955735176785582950154405569027266682507513975085238367774477526962811053120903597882088618069107127<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovJanuary 10, 2012 09:15:42 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 42 秒 (日本時間)
1440Youcef LemsaferDecember 15, 2013 20:40:11 UTC 2013 年 12 月 16 日 (月) 5 時 40 分 11 秒 (日本時間)
4511e63072Youcef LemsaferJuly 2, 2014 08:52:28 UTC 2014 年 7 月 2 日 (水) 17 時 52 分 28 秒 (日本時間)
5043e6790640Youcef LemsaferJuly 4, 2014 12:44:07 UTC 2014 年 7 月 4 日 (金) 21 時 44 分 7 秒 (日本時間)
150KTakahashiNovember 4, 2014 00:32:20 UTC 2014 年 11 月 4 日 (火) 9 時 32 分 20 秒 (日本時間)
5511e74265 / 1411464Youcef LemsaferJuly 4, 2014 12:44:07 UTC 2014 年 7 月 4 日 (金) 21 時 44 分 7 秒 (日本時間)
720Youcef LemsaferOctober 16, 2014 08:25:50 UTC 2014 年 10 月 16 日 (木) 17 時 25 分 50 秒 (日本時間)
720Youcef LemsaferFebruary 7, 2017 09:05:11 UTC 2017 年 2 月 7 日 (火) 18 時 5 分 11 秒 (日本時間)
720Youcef LemsaferMay 31, 2017 08:06:27 UTC 2017 年 5 月 31 日 (水) 17 時 6 分 27 秒 (日本時間)
601Youcef LemsaferAugust 16, 2017 09:59:57 UTC 2017 年 8 月 16 日 (水) 18 時 59 分 57 秒 (日本時間)
1440Youcef LemsaferApril 30, 2018 07:53:31 UTC 2018 年 4 月 30 日 (月) 16 時 53 分 31 秒 (日本時間)
6026e71360 / 40261720Youcef LemsaferMay 22, 2018 08:51:36 UTC 2018 年 5 月 22 日 (火) 17 時 51 分 36 秒 (日本時間)
640Youcef LemsaferJune 14, 2018 12:48:05 UTC 2018 年 6 月 14 日 (木) 21 時 48 分 5 秒 (日本時間)

10289-6×10144-13

c249

composite cofactor 合成数の残り
465566115245480413791288466476719285183022436897937890119235825878913475100624715767641712022571617387625516038653914608828542456489168407191472867391797756425766211138067527329061430490209251201047738316483638430591570572918025298320229967357895941<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e625001000Dmitry DomanovJanuary 10, 2012 09:15:49 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:37:42 UTC 2014 年 1 月 9 日 (木) 13 時 37 分 42 秒 (日本時間)
1200Youcef LemsaferJanuary 9, 2014 10:12:29 UTC 2014 年 1 月 9 日 (木) 19 時 12 分 29 秒 (日本時間)
4511e63796Youcef LemsaferJanuary 9, 2014 14:50:18 UTC 2014 年 1 月 9 日 (木) 23 時 50 分 18 秒 (日本時間)
5043e6121Youcef LemsaferJanuary 9, 2014 15:40:10 UTC 2014 年 1 月 10 日 (金) 0 時 40 分 10 秒 (日本時間)
5511e75040 / 14307720Youcef LemsaferJuly 9, 2014 13:19:07 UTC 2014 年 7 月 9 日 (水) 22 時 19 分 7 秒 (日本時間)
720Youcef LemsaferMarch 1, 2017 10:15:59 UTC 2017 年 3 月 1 日 (水) 19 時 15 分 59 秒 (日本時間)
720Youcef LemsaferJune 16, 2017 09:36:01 UTC 2017 年 6 月 16 日 (金) 18 時 36 分 1 秒 (日本時間)
720Youcef LemsaferAugust 6, 2017 18:09:02 UTC 2017 年 8 月 7 日 (月) 3 時 9 分 2 秒 (日本時間)
720Youcef LemsaferSeptember 14, 2017 14:48:17 UTC 2017 年 9 月 14 日 (木) 23 時 48 分 17 秒 (日本時間)
1440Youcef LemsaferMay 14, 2018 09:14:29 UTC 2018 年 5 月 14 日 (月) 18 時 14 分 29 秒 (日本時間)
6026e71360 / 40035720Youcef LemsaferMay 25, 2018 16:13:07 UTC 2018 年 5 月 26 日 (土) 1 時 13 分 7 秒 (日本時間)
640Youcef LemsaferJune 18, 2018 09:26:54 UTC 2018 年 6 月 18 日 (月) 18 時 26 分 54 秒 (日本時間)

10293-6×10146-13

c265

composite cofactor 合成数の残り
3301809026100633196204562708999524146376518950426818846002251418518139976069364602808212521275040983830232335855906664935784431298747355158402736095582732103996756118662708745740552217460383922115942716565143710415850257968903442566033993253459744657889858478145677<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e624401000Dmitry DomanovJanuary 10, 2012 09:15:57 UTC 2012 年 1 月 10 日 (火) 18 時 15 分 57 秒 (日本時間)
1440Youcef LemsaferDecember 17, 2013 18:46:35 UTC 2013 年 12 月 18 日 (水) 3 時 46 分 35 秒 (日本時間)
4511e63072Youcef LemsaferJuly 15, 2014 16:16:10 UTC 2014 年 7 月 16 日 (水) 1 時 16 分 10 秒 (日本時間)
5043e6640Youcef LemsaferJuly 15, 2014 16:16:10 UTC 2014 年 7 月 16 日 (水) 1 時 16 分 10 秒 (日本時間)
5511e75104 / 1528464Youcef LemsaferJuly 15, 2014 16:16:10 UTC 2014 年 7 月 16 日 (水) 1 時 16 分 10 秒 (日本時間)
720Youcef LemsaferJanuary 7, 2017 13:06:54 UTC 2017 年 1 月 7 日 (土) 22 時 6 分 54 秒 (日本時間)
720Youcef LemsaferMarch 17, 2017 10:32:26 UTC 2017 年 3 月 17 日 (金) 19 時 32 分 26 秒 (日本時間)
720Youcef LemsaferJuly 7, 2017 09:56:33 UTC 2017 年 7 月 7 日 (金) 18 時 56 分 33 秒 (日本時間)
720Youcef LemsaferAugust 6, 2017 18:10:09 UTC 2017 年 8 月 7 日 (月) 3 時 10 分 9 秒 (日本時間)
720Youcef LemsaferSeptember 15, 2017 08:01:12 UTC 2017 年 9 月 15 日 (金) 17 時 1 分 12 秒 (日本時間)
1440Youcef LemsaferMay 14, 2018 09:15:29 UTC 2018 年 5 月 14 日 (月) 18 時 15 分 29 秒 (日本時間)
6026e7880 / 39962160Youcef LemsaferJanuary 6, 2017 16:53:09 UTC 2017 年 1 月 7 日 (土) 1 時 53 分 9 秒 (日本時間)
720Youcef LemsaferMay 29, 2018 07:56:35 UTC 2018 年 5 月 29 日 (火) 16 時 56 分 35 秒 (日本時間)

10295-6×10147-13

c234

composite cofactor 合成数の残り
866935285819034029634781284343537299538865689020609289297554233137601385468213980390393489846423685927754993844889136193923790847187389652368071040002328701322054441765044488013061407196111923829737927950036803565196364723619042894563<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJanuary 10, 2012 09:16:05 UTC 2012 年 1 月 10 日 (火) 18 時 16 分 5 秒 (日本時間)
4511e63437Youcef LemsaferNovember 8, 2013 06:43:13 UTC 2013 年 11 月 8 日 (金) 15 時 43 分 13 秒 (日本時間)
5043e60--
5511e75040 / 9177720Youcef LemsaferJuly 21, 2014 09:03:26 UTC 2014 年 7 月 21 日 (月) 18 時 3 分 26 秒 (日本時間)
720Youcef LemsaferMarch 31, 2017 08:52:01 UTC 2017 年 3 月 31 日 (金) 17 時 52 分 1 秒 (日本時間)
720Youcef LemsaferJuly 17, 2017 09:26:37 UTC 2017 年 7 月 17 日 (月) 18 時 26 分 37 秒 (日本時間)
720Youcef LemsaferAugust 7, 2017 10:57:03 UTC 2017 年 8 月 7 日 (月) 19 時 57 分 3 秒 (日本時間)
720Youcef LemsaferSeptember 29, 2017 07:36:51 UTC 2017 年 9 月 29 日 (金) 16 時 36 分 51 秒 (日本時間)
1440Youcef LemsaferMay 14, 2018 09:16:25 UTC 2018 年 5 月 14 日 (月) 18 時 16 分 25 秒 (日本時間)
6026e73600 / 40057720Youcef LemsaferJune 4, 2018 08:52:35 UTC 2018 年 6 月 4 日 (月) 17 時 52 分 35 秒 (日本時間)
2880Youcef LemsaferSeptember 16, 2018 07:08:00 UTC 2018 年 9 月 16 日 (日) 16 時 8 分 0 秒 (日本時間)

10299-6×10149-13

c290

composite cofactor 合成数の残り
48080769515368551832527106095157273113023429800815108573678630553098752441974803925672321129117098055768933603260888946471059537421138144214451509863552781403496519431411955537494944048651322851668843674960898951261822603855509111952269108474702443274931973752644454944547268135033846873599<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e628001000Dmitry DomanovJanuary 7, 2012 20:46:13 UTC 2012 年 1 月 8 日 (日) 5 時 46 分 13 秒 (日本時間)
1000Dmitry DomanovJanuary 10, 2012 09:16:17 UTC 2012 年 1 月 10 日 (火) 18 時 16 分 17 秒 (日本時間)
800Dmitry DomanovJanuary 10, 2012 21:44:11 UTC 2012 年 1 月 11 日 (水) 6 時 44 分 11 秒 (日本時間)
4511e60--
5043e61120400Dmitry DomanovJanuary 12, 2012 07:09:34 UTC 2012 年 1 月 12 日 (木) 16 時 9 分 34 秒 (日本時間)
720Dmitry DomanovJanuary 17, 2012 20:20:07 UTC 2012 年 1 月 18 日 (水) 5 時 20 分 7 秒 (日本時間)
5511e77675 / 156742635yoyo@homeSeptember 6, 2012 06:40:07 UTC 2012 年 9 月 6 日 (木) 15 時 40 分 7 秒 (日本時間)
720Youcef LemsaferJuly 30, 2014 09:00:27 UTC 2014 年 7 月 30 日 (水) 18 時 0 分 27 秒 (日本時間)
720Youcef LemsaferApril 25, 2017 08:44:05 UTC 2017 年 4 月 25 日 (火) 17 時 44 分 5 秒 (日本時間)
720Youcef LemsaferAugust 2, 2017 08:46:17 UTC 2017 年 8 月 2 日 (水) 17 時 46 分 17 秒 (日本時間)
720Youcef LemsaferAugust 9, 2017 08:26:52 UTC 2017 年 8 月 9 日 (水) 17 時 26 分 52 秒 (日本時間)
720Youcef LemsaferOctober 17, 2017 08:26:35 UTC 2017 年 10 月 17 日 (火) 17 時 26 分 35 秒 (日本時間)
1440Youcef LemsaferMay 14, 2018 09:17:04 UTC 2018 年 5 月 14 日 (月) 18 時 17 分 4 秒 (日本時間)
6026e7720 / 38982Youcef LemsaferJune 7, 2018 10:46:34 UTC 2018 年 6 月 7 日 (木) 19 時 46 分 34 秒 (日本時間)

10301-6×10150-13

c259

name 名前Warut Roonguthai
date 日付January 3, 2012 02:37:17 UTC 2012 年 1 月 3 日 (火) 11 時 37 分 17 秒 (日本時間)
composite number 合成数
1614395466163977528901778340440123108056795950535992327285444229785366879840767464944964754458732248473774770297725209798689762190960568583425918896274787687600300928889704198612086088936230336360575810807793613665119094562651808291622002012660257166712200187<259>
prime factors 素因数
4355688053699847504766848938149<31>
composite cofactor 合成数の残り
370640745218809527128335215773116175701123033386293558552026108854671108906791542238092801856416827514809940668488329333026463151293090778880698295531388476049498558429528425984690040937191551096566461431895483563289629109983263<228>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=636471907
Step 1 took 14586ms
Step 2 took 6115ms
********** Factor found in step 2: 4355688053699847504766848938149
Found probable prime factor of 31 digits: 4355688053699847504766848938149
Composite cofactor 370640745218809527128335215773116175701123033386293558552026108854671108906791542238092801856416827514809940668488329333026463151293090778880698295531388476049498558429528425984690040937191551096566461431895483563289629109983263 has 228 digits
software ソフトウェア
GMP-ECM 6.3

c228

name 名前Dmitry Domanov
date 日付January 4, 2012 07:16:00 UTC 2012 年 1 月 4 日 (水) 16 時 16 分 0 秒 (日本時間)
composite number 合成数
370640745218809527128335215773116175701123033386293558552026108854671108906791542238092801856416827514809940668488329333026463151293090778880698295531388476049498558429528425984690040937191551096566461431895483563289629109983263<228>
prime factors 素因数
2366244574964192386635321353393280143<37>
composite cofactor 合成数の残り
156636701522883919797337607900251951863827299078799173786503306184663382182308208942416652888622423119044254291169916729277257317131233362709253656794960057049787585795076735060410643088681841<192>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3289650238
Step 1 took 170014ms
Step 2 took 74577ms
********** Factor found in step 2: 2366244574964192386635321353393280143
Found probable prime factor of 37 digits: 2366244574964192386635321353393280143

c192

name 名前Dmitry Domanov
date 日付January 6, 2012 08:43:36 UTC 2012 年 1 月 6 日 (金) 17 時 43 分 36 秒 (日本時間)
composite number 合成数
156636701522883919797337607900251951863827299078799173786503306184663382182308208942416652888622423119044254291169916729277257317131233362709253656794960057049787585795076735060410643088681841<192>
prime factors 素因数
244309641290984090948959901339526426447951698929<48>
composite cofactor 合成数の残り
641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129<144>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=25298809
Step 1 took 380067ms
Step 2 took 73287ms
********** Factor found in step 2: 244309641290984090948959901339526426447951698929
Found probable prime factor of 48 digits: 244309641290984090948959901339526426447951698929

c144

name 名前Youcef Lemsafer
date 日付March 1, 2013 13:08:42 UTC 2013 年 3 月 1 日 (金) 22 時 8 分 42 秒 (日本時間)
composite number 合成数
641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129<144>
prime factors 素因数
1014047452500610277840149818584055326430198625661221603489862681149<67>
632258453515294925983721665747409008736331388713186725660526614221301435024021<78>
factorization results 素因数分解の結果
Fri Feb 01 07:38:49 2013 -> factmsieve.py (v0.76)
Fri Feb 01 07:38:49 2013 -> This is client 1 of 1
Fri Feb 01 07:38:49 2013 -> Running on 8 Cores with 2 hyper-threads per Core
Fri Feb 01 07:38:49 2013 -> Working with NAME = 33133_150
Fri Feb 01 07:38:49 2013 -> Running polynomial selection ...
Fri Feb 01 07:38:49 2013  
Fri Feb 01 07:38:49 2013  
Fri Feb 01 07:38:49 2013  Msieve v. 1.50 (SVN 708)
Fri Feb 01 07:38:49 2013  random seeds: c29c2f98 5fc56c78
Fri Feb 01 07:38:49 2013  factoring 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits)
Fri Feb 01 07:38:50 2013  searching for 15-digit factors
Fri Feb 01 07:38:51 2013  commencing number field sieve (144-digit input)
Fri Feb 01 07:38:51 2013  commencing number field sieve polynomial selection
Fri Feb 01 07:38:51 2013  time limit set to 91.00 CPU-hours
Fri Feb 01 07:38:51 2013  expecting poly E from 1.05e-011 to 1.21e-011
Fri Feb 01 07:38:51 2013  searching leading coefficients from 1 to 5166856
Tue Feb 05 04:29:24 2013  polynomial selection complete
Tue Feb 05 04:29:24 2013  R0: -13414443944637698568740240207
Tue Feb 05 04:29:24 2013  R1: 4760323507579003
Tue Feb 05 04:29:24 2013  A0: 16421414992021763789235352205414480
Tue Feb 05 04:29:24 2013  A1: 523902247220238353721688085348
Tue Feb 05 04:29:24 2013  A2: -261577590072141135659590
Tue Feb 05 04:29:24 2013  A3: -48189242180553138
Tue Feb 05 04:29:24 2013  A4: 30556409739
Tue Feb 05 04:29:24 2013  A5: 1476
Tue Feb 05 04:29:24 2013  skew 3662269.45, size 7.404e-014, alpha -6.376, combined = 1.399e-011 rroots = 3
Tue Feb 05 04:29:24 2013  elapsed time 92:50:35
Tue Feb 05 04:29:24 2013 -> Selected lattice siever: gnfs-lasieve4I14e
Tue Feb 05 04:29:24 2013 -> Creating param file to detect parameter changes...
Tue Feb 05 04:29:24 2013 -> Running setup ...
Tue Feb 05 04:29:24 2013 -> Estimated minimum relations needed: 3.25233e+07
Tue Feb 05 04:29:24 2013 -> cleaning up before a restart
Tue Feb 05 04:29:24 2013 -> Running lattice siever ...
Tue Feb 05 04:29:24 2013 -> entering sieving loop
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7550000 in 7550000 .. 7556250 as file 33133_150.job.T0
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7556250 in 7556250 .. 7562500 as file 33133_150.job.T1
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7562500 in 7562500 .. 7568750 as file 33133_150.job.T2
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7568750 in 7568750 .. 7575000 as file 33133_150.job.T3
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7575000 in 7575000 .. 7581250 as file 33133_150.job.T4
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7581250 in 7581250 .. 7587500 as file 33133_150.job.T5
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7587500 in 7587500 .. 7593750 as file 33133_150.job.T6
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7593750 in 7593750 .. 7600000 as file 33133_150.job.T7
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7600000 in 7600000 .. 7606250 as file 33133_150.job.T8
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7606250 in 7606250 .. 7612500 as file 33133_150.job.T9
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7612500 in 7612500 .. 7618750 as file 33133_150.job.T10
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7618750 in 7618750 .. 7625000 as file 33133_150.job.T11
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7625000 in 7625000 .. 7631250 as file 33133_150.job.T12
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7631250 in 7631250 .. 7637500 as file 33133_150.job.T13
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7637500 in 7637500 .. 7643750 as file 33133_150.job.T14
Tue Feb 05 04:29:24 2013 -> making sieve job for q = 7643750 in 7643750 .. 7650000 as file 33133_150.job.T15
Tue Feb 05 04:29:24 2013 -> Lattice sieving algebraic q from 7550000 to 7650000.
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a 33133_150.job.T0
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a 33133_150.job.T1
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a 33133_150.job.T2
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a 33133_150.job.T3
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a 33133_150.job.T4
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a 33133_150.job.T5
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T6 -v -n6 -a 33133_150.job.T6
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T7 -v -n7 -a 33133_150.job.T7
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T8 -v -n8 -a 33133_150.job.T8
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T9 -v -n9 -a 33133_150.job.T9
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T10 -v -n10 -a 33133_150.job.T10
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T11 -v -n11 -a 33133_150.job.T11
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T12 -v -n12 -a 33133_150.job.T12
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T13 -v -n13 -a 33133_150.job.T13
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T14 -v -n14 -a 33133_150.job.T14
Tue Feb 05 04:29:24 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T15 -v -n15 -a 33133_150.job.T15
Tue Feb 05 05:10:09 2013 -> Return value -1073741783. Updating job file and terminating...
Tue Feb 05 05:10:09 2013 LatSieveTime: 2445.38
Sat Feb 16 11:51:17 2013 -> factmsieve.py (v0.76)
Sat Feb 16 11:51:17 2013 -> This is client 1 of 1
Sat Feb 16 11:51:17 2013 -> Running on 2 Cores with 2 hyper-threads per Core
Sat Feb 16 11:51:17 2013 -> Working with NAME = 33133_150
Sat Feb 16 11:51:17 2013 -> Selected lattice siever: gnfs-lasieve4I14e
Sat Feb 16 11:51:17 2013 -> Creating param file to detect parameter changes...
Sat Feb 16 11:51:17 2013 -> Running setup ...
Sat Feb 16 11:51:17 2013 -> Estimated minimum relations needed: 3.25233e+07
Sat Feb 16 11:51:17 2013 -> cleaning up before a restart
Sat Feb 16 11:51:17 2013 -> Running lattice siever ...
Sat Feb 16 11:51:17 2013 -> entering sieving loop
Sat Feb 16 11:51:17 2013 -> making sieve job for q = 7550000 in 7550000 .. 7575000 as file 33133_150.job.T0
Sat Feb 16 11:51:17 2013 -> making sieve job for q = 7575000 in 7575000 .. 7600000 as file 33133_150.job.T1
Sat Feb 16 11:51:17 2013 -> making sieve job for q = 7600000 in 7600000 .. 7625000 as file 33133_150.job.T2
Sat Feb 16 11:51:17 2013 -> making sieve job for q = 7625000 in 7625000 .. 7650000 as file 33133_150.job.T3
Sat Feb 16 11:51:17 2013 -> Lattice sieving algebraic q from 7550000 to 7650000.
Sat Feb 16 11:51:17 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a 33133_150.job.T0
Sat Feb 16 11:51:17 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a 33133_150.job.T1
Sat Feb 16 11:51:17 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a 33133_150.job.T2
Sat Feb 16 11:51:17 2013 -> gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a 33133_150.job.T3
Sat Feb 16 15:13:06 2013 Found 480188 relations, 1.5% of the estimated minimum (32523338).
Sat Feb 16 18:35:29 2013 Found 966752 relations, 3.0% of the estimated minimum (32523338).
Sat Feb 16 22:10:36 2013 Found 1451756 relations, 4.5% of the estimated minimum (32523338).
Sun Feb 17 01:31:03 2013 Found 1931869 relations, 5.9% of the estimated minimum (32523338).
Sun Feb 17 04:51:46 2013 Found 2409492 relations, 7.4% of the estimated minimum (32523338).
Sun Feb 17 08:14:03 2013 Found 2893945 relations, 8.9% of the estimated minimum (32523338).
Sun Feb 17 11:35:36 2013 Found 3381958 relations, 10.4% of the estimated minimum (32523338).
Sun Feb 17 14:52:17 2013 Found 3853256 relations, 11.8% of the estimated minimum (32523338).
Sun Feb 17 18:13:30 2013 Found 4333295 relations, 13.3% of the estimated minimum (32523338).
Sun Feb 17 21:34:50 2013 Found 4816753 relations, 14.8% of the estimated minimum (32523338).
Mon Feb 18 01:00:33 2013 Found 5305066 relations, 16.3% of the estimated minimum (32523338).
Mon Feb 18 04:25:01 2013 Found 5786745 relations, 17.8% of the estimated minimum (32523338).
Mon Feb 18 07:47:44 2013 Found 6271190 relations, 19.3% of the estimated minimum (32523338).
Mon Feb 18 11:10:30 2013 Found 6754371 relations, 20.8% of the estimated minimum (32523338).
Mon Feb 18 14:34:01 2013 Found 7231352 relations, 22.2% of the estimated minimum (32523338).
Mon Feb 18 18:08:08 2013 Found 7725404 relations, 23.8% of the estimated minimum (32523338).
Mon Feb 18 21:34:20 2013 Found 8210899 relations, 25.2% of the estimated minimum (32523338).
Tue Feb 19 01:00:04 2013 Found 8698812 relations, 26.7% of the estimated minimum (32523338).
Tue Feb 19 04:27:48 2013 Found 9184172 relations, 28.2% of the estimated minimum (32523338).
Tue Feb 19 07:52:49 2013 Found 9664405 relations, 29.7% of the estimated minimum (32523338).
Tue Feb 19 11:21:58 2013 Found 10148763 relations, 31.2% of the estimated minimum (32523338).
Tue Feb 19 14:49:24 2013 Found 10633941 relations, 32.7% of the estimated minimum (32523338).
Tue Feb 19 18:15:10 2013 Found 11109089 relations, 34.2% of the estimated minimum (32523338).
Tue Feb 19 21:40:26 2013 Found 11591859 relations, 35.6% of the estimated minimum (32523338).
Wed Feb 20 01:06:25 2013 Found 12070615 relations, 37.1% of the estimated minimum (32523338).
Wed Feb 20 04:34:46 2013 Found 12559477 relations, 38.6% of the estimated minimum (32523338).
Wed Feb 20 07:59:20 2013 Found 13034952 relations, 40.1% of the estimated minimum (32523338).
Wed Feb 20 11:30:39 2013 Found 13526652 relations, 41.6% of the estimated minimum (32523338).
Wed Feb 20 14:54:23 2013 Found 13997434 relations, 43.0% of the estimated minimum (32523338).
Wed Feb 20 18:22:43 2013 Found 14481391 relations, 44.5% of the estimated minimum (32523338).
Wed Feb 20 21:56:11 2013 Found 14972231 relations, 46.0% of the estimated minimum (32523338).
Thu Feb 21 01:26:48 2013 Found 15462507 relations, 47.5% of the estimated minimum (32523338).
Thu Feb 21 04:58:59 2013 Found 15952334 relations, 49.0% of the estimated minimum (32523338).
Thu Feb 21 08:30:09 2013 Found 16445246 relations, 50.6% of the estimated minimum (32523338).
Thu Feb 21 12:02:53 2013 Found 16927507 relations, 52.0% of the estimated minimum (32523338).
Thu Feb 21 15:37:42 2013 Found 17411555 relations, 53.5% of the estimated minimum (32523338).
Thu Feb 21 19:13:21 2013 Found 17890162 relations, 55.0% of the estimated minimum (32523338).
Thu Feb 21 22:38:24 2013 Found 18363768 relations, 56.5% of the estimated minimum (32523338).
Fri Feb 22 02:08:14 2013 Found 18839612 relations, 57.9% of the estimated minimum (32523338).
Fri Feb 22 05:38:05 2013 Found 19313475 relations, 59.4% of the estimated minimum (32523338).
Fri Feb 22 09:09:15 2013 Found 19797757 relations, 60.9% of the estimated minimum (32523338).
Fri Feb 22 12:46:43 2013 Found 20285444 relations, 62.4% of the estimated minimum (32523338).
Fri Feb 22 16:20:54 2013 Found 20766029 relations, 63.8% of the estimated minimum (32523338).
Fri Feb 22 19:53:55 2013 Found 21247930 relations, 65.3% of the estimated minimum (32523338).
Fri Feb 22 23:22:16 2013 Found 21717915 relations, 66.8% of the estimated minimum (32523338).
Sat Feb 23 02:55:00 2013 Found 22204776 relations, 68.3% of the estimated minimum (32523338).
Sat Feb 23 06:25:43 2013 Found 22682430 relations, 69.7% of the estimated minimum (32523338).
Sat Feb 23 09:53:16 2013 Found 23161477 relations, 71.2% of the estimated minimum (32523338).
Sat Feb 23 13:25:30 2013 Found 23647974 relations, 72.7% of the estimated minimum (32523338).
Sat Feb 23 16:57:09 2013 Found 24127054 relations, 74.2% of the estimated minimum (32523338).
Sat Feb 23 20:32:37 2013 Found 24613009 relations, 75.7% of the estimated minimum (32523338).
Sun Feb 24 00:11:56 2013 Found 25086565 relations, 77.1% of the estimated minimum (32523338).
Sun Feb 24 03:52:55 2013 Found 25565701 relations, 78.6% of the estimated minimum (32523338).
Sun Feb 24 07:27:54 2013 Found 26031881 relations, 80.0% of the estimated minimum (32523338).
Sun Feb 24 11:02:56 2013 Found 26509990 relations, 81.5% of the estimated minimum (32523338).
Sun Feb 24 14:42:21 2013 Found 26992834 relations, 83.0% of the estimated minimum (32523338).
Sun Feb 24 18:23:08 2013 Found 27469740 relations, 84.5% of the estimated minimum (32523338).
Sun Feb 24 22:00:55 2013 Found 27945531 relations, 85.9% of the estimated minimum (32523338).
Mon Feb 25 01:46:03 2013 Found 28430012 relations, 87.4% of the estimated minimum (32523338).
Mon Feb 25 07:10:56 2013 Found 28908696 relations, 88.9% of the estimated minimum (32523338).
Mon Feb 25 10:48:20 2013 Found 29393576 relations, 90.4% of the estimated minimum (32523338).
Mon Feb 25 14:24:02 2013 Found 29867174 relations, 91.8% of the estimated minimum (32523338).
Mon Feb 25 18:06:11 2013 Found 30352392 relations, 93.3% of the estimated minimum (32523338).
Mon Feb 25 21:33:15 2013 Found 30812506 relations, 94.7% of the estimated minimum (32523338).
Tue Feb 26 01:06:27 2013 Found 31282681 relations, 96.2% of the estimated minimum (32523338).
Tue Feb 26 04:39:39 2013 Found 31760487 relations, 97.7% of the estimated minimum (32523338).
Tue Feb 26 08:13:50 2013 Found 32238554 relations, 99.1% of the estimated minimum (32523338).
Tue Feb 26 11:48:45 2013 Found 32712565 relations, 100.6% of the estimated minimum (32523338).
Tue Feb 26 15:44:29 2013 Found 33314108 relations, 102.4% of the estimated minimum (32523338).
Tue Feb 26 19:32:33 2013 Found 33784877 relations, 103.9% of the estimated minimum (32523338).
Tue Feb 26 23:24:52 2013 Found 34263666 relations, 105.4% of the estimated minimum (32523338).
Wed Feb 27 03:12:05 2013 Found 34732843 relations, 106.8% of the estimated minimum (32523338).
Wed Feb 27 07:00:41 2013 Found 35204718 relations, 108.2% of the estimated minimum (32523338).
Wed Feb 27 10:58:29 2013 Found 35680060 relations, 109.7% of the estimated minimum (32523338).
Wed Feb 27 15:05:34 2013 Found 36152071 relations, 111.2% of the estimated minimum (32523338).
Wed Feb 27 18:56:13 2013 Found 36621392 relations, 112.6% of the estimated minimum (32523338).
Wed Feb 27 22:52:20 2013 Found 37088439 relations, 114.0% of the estimated minimum (32523338).
Thu Feb 28 03:00:50 2013 Found 37570497 relations, 115.5% of the estimated minimum (32523338).
Thu Feb 28 07:00:59 2013 Found 38031952 relations, 116.9% of the estimated minimum (32523338).
Thu Feb 28 11:02:23 2013 Found 38503070 relations, 118.4% of the estimated minimum (32523338).
Thu Feb 28 15:03:17 2013 Found 38979615 relations, 119.9% of the estimated minimum (32523338).
Thu Feb 28 18:59:24 2013 Found 39446695 relations, 121.3% of the estimated minimum (32523338).
Thu Feb 28 18:59:25 2013  
Thu Feb 28 18:59:25 2013  
Thu Feb 28 18:59:25 2013  Msieve v. 1.50 (SVN 708)
Thu Feb 28 18:59:25 2013  random seeds: 860a7bc0 3475cb40
Thu Feb 28 18:59:25 2013  factoring 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits)
Thu Feb 28 18:59:26 2013  searching for 15-digit factors
Thu Feb 28 18:59:26 2013  commencing number field sieve (144-digit input)
Thu Feb 28 18:59:27 2013  R0: -13414443944637698568740240207
Thu Feb 28 18:59:27 2013  R1: 4760323507579003
Thu Feb 28 18:59:27 2013  A0: 16421414992021763789235352205414480
Thu Feb 28 18:59:27 2013  A1: 523902247220238353721688085348
Thu Feb 28 18:59:27 2013  A2: -261577590072141135659590
Thu Feb 28 18:59:27 2013  A3: -48189242180553138
Thu Feb 28 18:59:27 2013  A4: 30556409739
Thu Feb 28 18:59:27 2013  A5: 1476
Thu Feb 28 18:59:27 2013  skew 3662269.45, size 7.404e-014, alpha -6.376, combined = 1.399e-011 rroots = 3
Thu Feb 28 18:59:27 2013  
Thu Feb 28 18:59:27 2013  commencing relation filtering
Thu Feb 28 18:59:27 2013  estimated available RAM is 4095.6 MB
Thu Feb 28 18:59:27 2013  commencing duplicate removal, pass 1
Thu Feb 28 19:03:56 2013  found 5272348 hash collisions in 39446694 relations
Thu Feb 28 19:04:44 2013  added 3 free relations
Thu Feb 28 19:04:44 2013  commencing duplicate removal, pass 2
Thu Feb 28 19:08:15 2013  found 3583044 duplicates and 35863653 unique relations
Thu Feb 28 19:08:15 2013  memory use: 165.2 MB
Thu Feb 28 19:08:15 2013  reading ideals above 15794176
Thu Feb 28 19:08:20 2013  commencing singleton removal, initial pass
Thu Feb 28 19:13:31 2013  memory use: 753.0 MB
Thu Feb 28 19:13:31 2013  reading all ideals from disk
Thu Feb 28 19:13:32 2013  memory use: 654.6 MB
Thu Feb 28 19:13:34 2013  commencing in-memory singleton removal
Thu Feb 28 19:13:36 2013  begin with 35863653 relations and 38116942 unique ideals
Thu Feb 28 19:13:59 2013  reduce to 12031498 relations and 9931517 ideals in 24 passes
Thu Feb 28 19:13:59 2013  max relations containing the same ideal: 20
Thu Feb 28 19:14:00 2013  reading ideals above 720000
Thu Feb 28 19:14:00 2013  commencing singleton removal, initial pass
Thu Feb 28 19:16:55 2013  memory use: 344.5 MB
Thu Feb 28 19:16:55 2013  reading all ideals from disk
Thu Feb 28 19:16:55 2013  memory use: 398.1 MB
Thu Feb 28 19:16:56 2013  commencing in-memory singleton removal
Thu Feb 28 19:16:58 2013  begin with 12031503 relations and 11851598 unique ideals
Thu Feb 28 19:17:16 2013  reduce to 12020952 relations and 11841030 ideals in 14 passes
Thu Feb 28 19:17:16 2013  max relations containing the same ideal: 176
Thu Feb 28 19:17:23 2013  removing 478001 relations and 455484 ideals in 22517 cliques
Thu Feb 28 19:17:23 2013  commencing in-memory singleton removal
Thu Feb 28 19:17:25 2013  begin with 11542951 relations and 11841030 unique ideals
Thu Feb 28 19:17:37 2013  reduce to 11526464 relations and 11368996 ideals in 10 passes
Thu Feb 28 19:17:37 2013  max relations containing the same ideal: 170
Thu Feb 28 19:17:43 2013  removing 341378 relations and 318861 ideals in 22517 cliques
Thu Feb 28 19:17:44 2013  commencing in-memory singleton removal
Thu Feb 28 19:17:45 2013  begin with 11185086 relations and 11368996 unique ideals
Thu Feb 28 19:17:55 2013  reduce to 11176065 relations and 11041083 ideals in 8 passes
Thu Feb 28 19:17:55 2013  max relations containing the same ideal: 167
Thu Feb 28 19:17:58 2013  relations with 0 large ideals: 494
Thu Feb 28 19:17:58 2013  relations with 1 large ideals: 405
Thu Feb 28 19:17:58 2013  relations with 2 large ideals: 9325
Thu Feb 28 19:17:58 2013  relations with 3 large ideals: 94074
Thu Feb 28 19:17:58 2013  relations with 4 large ideals: 504014
Thu Feb 28 19:17:58 2013  relations with 5 large ideals: 1555873
Thu Feb 28 19:17:58 2013  relations with 6 large ideals: 2874382
Thu Feb 28 19:17:58 2013  relations with 7+ large ideals: 6137498
Thu Feb 28 19:17:58 2013  commencing 2-way merge
Thu Feb 28 19:18:08 2013  reduce to 6060075 relation sets and 5925105 unique ideals
Thu Feb 28 19:18:08 2013  ignored 12 oversize relation sets
Thu Feb 28 19:18:08 2013  commencing full merge
Thu Feb 28 19:20:13 2013  memory use: 571.2 MB
Thu Feb 28 19:20:14 2013  found 3146895 cycles, need 3139305
Thu Feb 28 19:20:15 2013  weight of 3139305 cycles is about 220020870 (70.09/cycle)
Thu Feb 28 19:20:15 2013  distribution of cycle lengths:
Thu Feb 28 19:20:15 2013  1 relations: 459154
Thu Feb 28 19:20:15 2013  2 relations: 445991
Thu Feb 28 19:20:15 2013  3 relations: 417495
Thu Feb 28 19:20:15 2013  4 relations: 344815
Thu Feb 28 19:20:15 2013  5 relations: 297988
Thu Feb 28 19:20:15 2013  6 relations: 237525
Thu Feb 28 19:20:15 2013  7 relations: 187567
Thu Feb 28 19:20:15 2013  8 relations: 149372
Thu Feb 28 19:20:15 2013  9 relations: 118718
Thu Feb 28 19:20:15 2013  10+ relations: 480680
Thu Feb 28 19:20:15 2013  heaviest cycle: 28 relations
Thu Feb 28 19:20:15 2013  commencing cycle optimization
Thu Feb 28 19:20:20 2013  start with 17225429 relations
Thu Feb 28 19:20:54 2013  pruned 243768 relations
Thu Feb 28 19:20:54 2013  memory use: 492.9 MB
Thu Feb 28 19:20:54 2013  distribution of cycle lengths:
Thu Feb 28 19:20:54 2013  1 relations: 459154
Thu Feb 28 19:20:54 2013  2 relations: 453671
Thu Feb 28 19:20:54 2013  3 relations: 427869
Thu Feb 28 19:20:54 2013  4 relations: 348258
Thu Feb 28 19:20:54 2013  5 relations: 300000
Thu Feb 28 19:20:54 2013  6 relations: 236330
Thu Feb 28 19:20:54 2013  7 relations: 185891
Thu Feb 28 19:20:54 2013  8 relations: 147079
Thu Feb 28 19:20:54 2013  9 relations: 116284
Thu Feb 28 19:20:54 2013  10+ relations: 464769
Thu Feb 28 19:20:54 2013  heaviest cycle: 28 relations
Thu Feb 28 19:20:58 2013  RelProcTime: 1291
Thu Feb 28 19:20:58 2013  elapsed time 00:21:33
Thu Feb 28 19:20:58 2013 LatSieveTime: 14403.9
Thu Feb 28 19:20:58 2013 -> Running matrix solving step ...
Thu Feb 28 19:20:58 2013  
Thu Feb 28 19:20:58 2013  
Thu Feb 28 19:20:58 2013  Msieve v. 1.50 (SVN 708)
Thu Feb 28 19:20:58 2013  random seeds: e6424460 8d0d2232
Thu Feb 28 19:20:58 2013  factoring 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits)
Thu Feb 28 19:20:59 2013  searching for 15-digit factors
Thu Feb 28 19:21:00 2013  commencing number field sieve (144-digit input)
Thu Feb 28 19:21:00 2013  R0: -13414443944637698568740240207
Thu Feb 28 19:21:00 2013  R1: 4760323507579003
Thu Feb 28 19:21:00 2013  A0: 16421414992021763789235352205414480
Thu Feb 28 19:21:00 2013  A1: 523902247220238353721688085348
Thu Feb 28 19:21:00 2013  A2: -261577590072141135659590
Thu Feb 28 19:21:00 2013  A3: -48189242180553138
Thu Feb 28 19:21:00 2013  A4: 30556409739
Thu Feb 28 19:21:00 2013  A5: 1476
Thu Feb 28 19:21:00 2013  skew 3662269.45, size 7.404e-014, alpha -6.376, combined = 1.399e-011 rroots = 3
Thu Feb 28 19:21:00 2013  
Thu Feb 28 19:21:00 2013  commencing linear algebra
Thu Feb 28 19:21:00 2013  read 3139305 cycles
Thu Feb 28 19:21:07 2013  cycles contain 10942182 unique relations
Thu Feb 28 19:23:59 2013  read 10942182 relations
Thu Feb 28 19:24:18 2013  using 20 quadratic characters above 536869590
Thu Feb 28 19:25:07 2013  building initial matrix
Thu Feb 28 19:27:25 2013  memory use: 1289.0 MB
Thu Feb 28 19:27:28 2013  read 3139305 cycles
Thu Feb 28 19:27:30 2013  matrix is 3139126 x 3139305 (915.0 MB) with weight 297167506 (94.66/col)
Thu Feb 28 19:27:30 2013  sparse part has weight 214739425 (68.40/col)
Thu Feb 28 19:28:15 2013  filtering completed in 2 passes
Thu Feb 28 19:28:17 2013  matrix is 3133619 x 3133797 (914.6 MB) with weight 296944413 (94.76/col)
Thu Feb 28 19:28:17 2013  sparse part has weight 214677851 (68.50/col)
Thu Feb 28 19:28:32 2013  matrix starts at (0, 0)
Thu Feb 28 19:28:33 2013  matrix is 3133619 x 3133797 (914.6 MB) with weight 296944413 (94.76/col)
Thu Feb 28 19:28:33 2013  sparse part has weight 214677851 (68.50/col)
Thu Feb 28 19:28:33 2013  saving the first 48 matrix rows for later
Thu Feb 28 19:28:34 2013  matrix includes 64 packed rows
Thu Feb 28 19:28:35 2013  matrix is 3133571 x 3133797 (875.8 MB) with weight 238295580 (76.04/col)
Thu Feb 28 19:28:35 2013  sparse part has weight 210776095 (67.26/col)
Thu Feb 28 19:28:35 2013  using block size 65536 for processor cache size 12288 kB
Thu Feb 28 19:28:54 2013  commencing Lanczos iteration (4 threads)
Thu Feb 28 19:28:54 2013  memory use: 803.9 MB
Thu Feb 28 19:29:23 2013  linear algebra at 0.0%, ETA 15h58m
Thu Feb 28 19:29:32 2013  checkpointing every 200000 dimensions
Fri Mar 01 10:19:08 2013  lanczos halted after 49558 iterations (dim = 3133569)
Fri Mar 01 10:19:16 2013  recovered 29 nontrivial dependencies
Fri Mar 01 10:19:16 2013  BLanczosTime: 53896
Fri Mar 01 10:19:16 2013  elapsed time 14:58:18
Fri Mar 01 10:19:16 2013 -> Running square root step ...
Fri Mar 01 10:19:16 2013  
Fri Mar 01 10:19:16 2013  
Fri Mar 01 10:19:16 2013  Msieve v. 1.50 (SVN 708)
Fri Mar 01 10:19:16 2013  random seeds: cbde4e20 4604c3ce
Fri Mar 01 10:19:16 2013  factoring 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits)
Fri Mar 01 10:19:17 2013  searching for 15-digit factors
Fri Mar 01 10:19:18 2013  commencing number field sieve (144-digit input)
Fri Mar 01 10:19:18 2013  R0: -13414443944637698568740240207
Fri Mar 01 10:19:18 2013  R1: 4760323507579003
Fri Mar 01 10:19:18 2013  A0: 16421414992021763789235352205414480
Fri Mar 01 10:19:18 2013  A1: 523902247220238353721688085348
Fri Mar 01 10:19:18 2013  A2: -261577590072141135659590
Fri Mar 01 10:19:18 2013  A3: -48189242180553138
Fri Mar 01 10:19:18 2013  A4: 30556409739
Fri Mar 01 10:19:18 2013  A5: 1476
Fri Mar 01 10:19:18 2013  skew 3662269.45, size 7.404e-014, alpha -6.376, combined = 1.399e-011 rroots = 3
Fri Mar 01 10:19:18 2013  
Fri Mar 01 10:19:18 2013  commencing square root phase
Fri Mar 01 10:19:18 2013  reading relations for dependency 1
Fri Mar 01 10:19:20 2013  read 1565401 cycles
Fri Mar 01 10:19:23 2013  cycles contain 5464870 unique relations
Fri Mar 01 10:22:21 2013  read 5464870 relations
Fri Mar 01 10:22:52 2013  multiplying 5464870 relations
Fri Mar 01 10:37:33 2013  multiply complete, coefficients have about 253.15 million bits
Fri Mar 01 10:37:38 2013  initial square root is modulo 1215514723
Fri Mar 01 10:55:17 2013  GCD is 1, no factor found
Fri Mar 01 10:55:17 2013  reading relations for dependency 2
Fri Mar 01 10:55:18 2013  read 1566770 cycles
Fri Mar 01 10:55:21 2013  cycles contain 5467918 unique relations
Fri Mar 01 10:58:12 2013  read 5467918 relations
Fri Mar 01 10:58:43 2013  multiplying 5467918 relations
Fri Mar 01 11:13:41 2013  multiply complete, coefficients have about 253.28 million bits
Fri Mar 01 11:13:45 2013  initial square root is modulo 1228957039
Fri Mar 01 11:31:20 2013  sqrtTime: 4322
Fri Mar 01 11:31:20 2013  prp67 factor: 1014047452500610277840149818584055326430198625661221603489862681149
Fri Mar 01 11:31:20 2013  prp78 factor: 632258453515294925983721665747409008736331388713186725660526614221301435024021
Fri Mar 01 11:31:20 2013  elapsed time 01:12:04
Fri Mar 01 11:31:20 2013 -> Computing 1.36213e+09 scale for this machine...
Fri Mar 01 11:31:20 2013 -> procrels -speedtest> PIPE
Fri Mar 01 11:31:25 2013 -> Factorization summary written to g144-33133_150.txt



Number: 33133_150
N = 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129 (144 digits)
Divisors found:
r1=1014047452500610277840149818584055326430198625661221603489862681149 (pp67)
r2=632258453515294925983721665747409008736331388713186725660526614221301435024021 (pp78)
Version: Msieve v. 1.50 (SVN 708)
Total time: 312.69 hours.
Factorization parameters were as follows:
n: 641140074109160342803396790280871591229309790634899017347616289064933380788046393143496371774141373230092534127220093021626422914651140278880129
Y0: -13414443944637698568740240207
Y1: 4760323507579003
c0: 16421414992021763789235352205414480
c1: 523902247220238353721688085348
c2: -261577590072141135659590
c3: -48189242180553138
c4: 30556409739
c5: 1476
skew: 3662269.45
type: gnfs
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 39446695
Relations: 5467918 relations
Pruned matrix : 3133571 x 3133797
Polynomial selection time: 0.00 hours.
Total sieving time: 296.16 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 14.97 hours.
time per square root: 1.20 hours.
Prototype def-par.txt line would be: gnfs,143,5,67,2000,5e-06,0.28,250,20,50000,3600,15100000,15100000,29,29,58,58,2.6,2.6,100000
total time: 312.69 hours.
Intel64 Family 6 Model 44 Stepping 2, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 2, speed: 2.79GHz
software ソフトウェア
GGNFS (SVN430), msieve 1.50 (SVN 708)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 2, 2012 01:00:00 UTC 2012 年 1 月 2 日 (月) 10 時 0 分 0 秒 (日本時間)
403e60--
4511e6700Dmitry DomanovJanuary 3, 2012 22:21:03 UTC 2012 年 1 月 4 日 (水) 7 時 21 分 3 秒 (日本時間)
5043e67608750Dmitry DomanovJanuary 5, 2012 10:43:15 UTC 2012 年 1 月 5 日 (木) 19 時 43 分 15 秒 (日本時間)
330Dmitry DomanovJanuary 8, 2012 07:08:32 UTC 2012 年 1 月 8 日 (日) 16 時 8 分 32 秒 (日本時間)
1952Youcef LemsaferFebruary 13, 2013 05:13:43 UTC 2013 年 2 月 13 日 (水) 14 時 13 分 43 秒 (日本時間)
4576Youcef LemsaferFebruary 13, 2013 19:10:09 UTC 2013 年 2 月 14 日 (木) 4 時 10 分 9 秒 (日本時間)
5511e72048 / 15011Youcef LemsaferFebruary 14, 2013 11:29:19 UTC 2013 年 2 月 14 日 (木) 20 時 29 分 19 秒 (日本時間)