Table of contents 目次

1097+5399

c97

name 名前Dmitry Domanov
date 日付December 6, 2014 14:50:56 UTC 2014 年 12 月 6 日 (土) 23 時 50 分 56 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111171<97>
prime factors 素因数
7743325234260441026223918755070522528257<40>
143492760215596506531144686195033547588974476100509875203<57>
factorization results 素因数分解の結果
N=1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111171
  ( 97 digits)
SNFS difficulty: 97 digits.
Divisors found:
 r1=7743325234260441026223918755070522528257 (pp40)
 r2=143492760215596506531144686195033547588974476100509875203 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 0.09 hours.
Scaled time: 0.19 units (timescale=2.144).
Factorization parameters were as follows:
n: 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111171
m: 1000000000000000000000000
deg: 4
c4: 10
c0: 539
skew: 2.71
# Murphy_E = 4.504e-07
type: snfs
lss: 1
rlim: 290000
alim: 290000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1
Factor base limits: 290000/290000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [145000, 205001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 23204 x 23437
Total sieving time: 0.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,97.0000,4,0,0,0,0,0,0,0,0,290000,290000,24,24,43,43,2.1,2.1,10000
total time: 0.09 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10112+5399

c96

name 名前KTakahashi
date 日付December 6, 2014 17:23:17 UTC 2014 年 12 月 7 日 (日) 2 時 23 分 17 秒 (日本時間)
composite number 合成数
777198756794438499519722640723256604285657139325561668486974771461320487163329238964795552351731<96>
prime factors 素因数
4311233286903790604808854767306825411<37>
180272953253383630066027618577513717957033840705767782607121<60>
factorization results 素因数分解の結果
Number: 11171_112
N=777198756794438499519722640723256604285657139325561668486974771461320487163329238964795552351731
  ( 96 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=4311233286903790604808854767306825411 (pp37)
 r2=180272953253383630066027618577513717957033840705767782607121 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.57 hours.
Scaled time: 3.21 units (timescale=2.049).
Factorization parameters were as follows:
n: 777198756794438499519722640723256604285657139325561668486974771461320487163329238964795552351731
m: 10000000000000000000000
c5: 100
c0: 539
skew: 1.40
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66368 x 66594
Total sieving time: 1.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.57 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10116+5399

c98

name 名前KTakahashi
date 日付December 6, 2014 17:23:53 UTC 2014 年 12 月 7 日 (日) 2 時 23 分 53 秒 (日本時間)
composite number 合成数
15122804575114778227965850681842926619700200585890372031724814268790869965366232657411076925607679<98>
prime factors 素因数
445400466033955101118973032990081355190524911<45>
33953275149833119700716597015723821845615818471304689<53>
factorization results 素因数分解の結果
Number: 11171_116
N=15122804575114778227965850681842926619700200585890372031724814268790869965366232657411076925607679
  ( 98 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=445400466033955101118973032990081355190524911 (pp45)
 r2=33953275149833119700716597015723821845615818471304689 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.47 hours.
Scaled time: 2.48 units (timescale=1.687).
Factorization parameters were as follows:
n: 15122804575114778227965850681842926619700200585890372031724814268790869965366232657411076925607679
m: 100000000000000000000000
c5: 10
c0: 539
skew: 2.22
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 99329 x 99554
Total sieving time: 1.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.47 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10122+5399

c102

name 名前KTakahashi
date 日付December 6, 2014 18:38:20 UTC 2014 年 12 月 7 日 (日) 3 時 38 分 20 秒 (日本時間)
composite number 合成数
309419546131697832593334496735234866508299343876735115398042341742945953636748030407539031161856391793<102>
prime factors 素因数
175968900224293126083810238636990773622627<42>
1758376313867428348556375043417595734025773599984807968178459<61>
factorization results 素因数分解の結果
Number: 11171_122
N=309419546131697832593334496735234866508299343876735115398042341742945953636748030407539031161856391793
  ( 102 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=175968900224293126083810238636990773622627 (pp42)
 r2=1758376313867428348556375043417595734025773599984807968178459 (pp61)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.39 hours.
Scaled time: 4.95 units (timescale=2.075).
Factorization parameters were as follows:
n: 309419546131697832593334496735234866508299343876735115398042341742945953636748030407539031161856391793
m: 1000000000000000000000000
c5: 100
c0: 539
skew: 1.40
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85506 x 85731
Total sieving time: 2.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.39 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 18:37:37 UTC 2014 年 12 月 7 日 (日) 3 時 37 分 37 秒 (日本時間)

10124+5399

c124

name 名前KTakahashi
date 日付December 6, 2014 18:34:08 UTC 2014 年 12 月 7 日 (日) 3 時 34 分 8 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111171<124>
prime factors 素因数
735211992019238668653340794373<30>
11684967797261696635525857513211668417346189<44>
129335393428169839811699321139847260164395234517443<51>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P-1]
Input number is 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111171 (124 digits)
Using B1=4000000, B2=514904062, polynomial x^1, x0=2270268000
Step 1 took 1092ms
Step 2 took 483ms
********** Factor found in step 2: 735211992019238668653340794373
Found probable prime factor of 30 digits: 735211992019238668653340794373
Composite cofactor 1511279907254336648160920261011477468632497630749555136956453012543566613300961740540090074727 has 94 digits

Msieve v. 1.51 (SVN Official Release)
Wed Nov 26 14:35:55 2014
random seeds: 05194ffa 7ce1c11b
factoring 1511279907254336648160920261011477468632497630749555136956453012543566613300961740540090074727 (94 digits)
searching for 15-digit factors
commencing quadratic sieve (94-digit input)
using multiplier of 7
using VC8 64kb sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 1990039 (74118 primes)
using large prime bound of 256715031 (27 bits)
using double large prime bound of 1370920647292533 (42-51 bits)
using trial factoring cutoff of 51 bits
polynomial 'A' values have 12 factors
74417 relations (18930 full + 55487 combined from 1025948 partial), need 74214
begin with 1044878 relations
reduce to 189942 relations in 10 passes
attempting to read 189942 relations
recovered 189942 relations
recovered 170365 polynomials
attempting to build 74417 cycles
found 74417 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 18930
   length 2 : 13333
   length 3 : 12797
   length 4 : 10054
   length 5 : 7389
   length 6 : 4853
   length 7 : 3146
   length 9+: 3915
largest cycle: 21 relations
matrix is 74118 x 74417 (20.3 MB) with weight 4726128 (63.51/col)
sparse part has weight 4726128 (63.51/col)
filtering completed in 3 passes
matrix is 70097 x 70161 (19.2 MB) with weight 4474377 (63.77/col)
sparse part has weight 4474377 (63.77/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 70049 x 70161 (12.5 MB) with weight 3520457 (50.18/col)
sparse part has weight 2563256 (36.53/col)
using block size 28019 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 7.7 MB
linear algebra at 68.7%, ETA 0h 0m
lanczos halted after 1108 iterations (dim = 70045)
recovered 16 nontrivial dependencies
prp44 factor: 11684967797261696635525857513211668417346189
prp51 factor: 129335393428169839811699321139847260164395234517443
elapsed time 02:14:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10125+5399

c121

name 名前Dmitry Domanov
date 日付December 6, 2014 23:36:01 UTC 2014 年 12 月 7 日 (日) 8 時 36 分 1 秒 (日本時間)
composite number 合成数
1596194671902185190505834091525802486871298823604526808089514597200274545483567175852767003463742438027741863397659978611<121>
prime factors 素因数
1659152185498178731681321035051280067<37>
962054406975879760077683808556275187671490854948020233343853536985974594104901369233<84>
factorization results 素因数分解の結果
N=1596194671902185190505834091525802486871298823604526808089514597200274545483567175852767003463742438027741863397659978611
  ( 121 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=1659152185498178731681321035051280067 (pp37)
 r2=962054406975879760077683808556275187671490854948020233343853536985974594104901369233 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.24 hours.
Scaled time: 2.66 units (timescale=2.146).
Factorization parameters were as follows:
n: 1596194671902185190505834091525802486871298823604526808089514597200274545483567175852767003463742438027741863397659978611
m: 10000000000000000000000000
deg: 5
c5: 1
c0: 539
skew: 3.52
# Murphy_E = 1.235e-08
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 725001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 93635 x 93860
Total sieving time: 1.18 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,850000,850000,26,26,46,46,2.3,2.3,50000
total time: 1.24 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10130+5399

c130

name 名前KTakahashi
date 日付December 6, 2014 18:35:46 UTC 2014 年 12 月 7 日 (日) 3 時 35 分 46 秒 (日本時間)
composite number 合成数
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111171<130>
prime factors 素因数
2909281068758652304631416654277<31>
381919479366497227660124865279031691744928404271065720918508987558957461636103679727055477196976423<99>
factorization results 素因数分解の結果
Input number is 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111171 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3767866154
Step 1 took 3432ms
Step 2 took 2168ms
********** Factor found in step 2: 2909281068758652304631416654277
Found probable prime factor of 31 digits: 2909281068758652304631416654277
Probable prime cofactor 381919479366497227660124865279031691744928404271065720918508987558957461636103679727055477196976423 has 99 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10132+5399

c102

name 名前KTakahashi
date 日付December 6, 2014 18:40:10 UTC 2014 年 12 月 7 日 (日) 3 時 40 分 10 秒 (日本時間)
composite number 合成数
135606082698106730587646029770181471870565608289777495742080363158109317653074586497104763649844482043<102>
prime factors 素因数
18639680090223276602721505924236522375845207535347<50>
7275129296303409058884105802677873052059033916337369<52>
factorization results 素因数分解の結果
Number: 11171_132
N=135606082698106730587646029770181471870565608289777495742080363158109317653074586497104763649844482043
  ( 102 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=18639680090223276602721505924236522375845207535347 (pp50)
 r2=7275129296303409058884105802677873052059033916337369 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.82 hours.
Scaled time: 6.42 units (timescale=1.683).
Factorization parameters were as follows:
n: 135606082698106730587646029770181471870565608289777495742080363158109317653074586497104763649844482043
m: 100000000000000000000000000
c5: 100
c0: 539
skew: 1.40
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123831 x 124058
Total sieving time: 3.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.82 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
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 18:39:33 UTC 2014 年 12 月 7 日 (日) 3 時 39 分 33 秒 (日本時間)

10137+5399

c123

name 名前KTakahashi
date 日付December 6, 2014 18:37:06 UTC 2014 年 12 月 7 日 (日) 3 時 37 分 6 秒 (日本時間)
composite number 合成数
669235060532981528468254101200518372291870923379416824261405523324555035071753531763697931337641312047447420579846863400929<123>
prime factors 素因数
8591275629372146687942145417971<31>
77897053872300154772420784260831332371402657625139839144861227545572956983924561019647495899<92>
factorization results 素因数分解の結果
Input number is 669235060532981528468254101200518372291870923379416824261405523324555035071753531763697931337641312047447420579846863400929 (123 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2980780550
Step 1 took 3120ms
Step 2 took 1903ms
********** Factor found in step 2: 8591275629372146687942145417971
Found probable prime factor of 31 digits: 8591275629372146687942145417971
Probable prime cofactor 77897053872300154772420784260831332371402657625139839144861227545572956983924561019647495899 has 92 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10139+5399

c126

name 名前Dmitry Domanov
date 日付December 12, 2014 10:33:33 UTC 2014 年 12 月 12 日 (金) 19 時 33 分 33 秒 (日本時間)
composite number 合成数
942173285378944938929521011139389382863852864806023003739149327974165881246187117731895583778576846045373567799653165782873827<126>
prime factors 素因数
2143979047900816560199063187679770175263<40>
439450789550127721145687360264604197642865095853098230688376071235355874937906361322429<87>
factorization results 素因数分解の結果
N=942173285378944938929521011139389382863852864806023003739149327974165881246187117731895583778576846045373567799653165782873827
  ( 126 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=2143979047900816560199063187679770175263 (pp40)
 r2=439450789550127721145687360264604197642865095853098230688376071235355874937906361322429 (pp87)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.49 hours.
Scaled time: 7.50 units (timescale=2.149).
Factorization parameters were as follows:
n: 942173285378944938929521011139389382863852864806023003739149327974165881246187117731895583778576846045373567799653165782873827
m: 10000000000000000000000000000
deg: 5
c5: 1
c0: 5390
skew: 5.58
# Murphy_E = 2.929e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 254563 x 254789
Total sieving time: 3.36 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 3.49 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 10, 2014 08:00:40 UTC 2014 年 12 月 10 日 (水) 17 時 0 分 40 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 10, 2014 08:00:40 UTC 2014 年 12 月 10 日 (水) 17 時 0 分 40 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 10, 2014 08:00:40 UTC 2014 年 12 月 10 日 (水) 17 時 0 分 40 秒 (日本時間)

10144+5399

c136

name 名前Dmitry Domanov
date 日付December 14, 2014 09:51:29 UTC 2014 年 12 月 14 日 (日) 18 時 51 分 29 秒 (日本時間)
composite number 合成数
2729207236502812733259372363065554408824550994168729421965069766301559599743964335680514328492191848629258531134060632673850152991306517<136>
prime factors 素因数
818805245253363037979755434848349483129820802023287866630747137<63>
3333157979048257930518317233116193419276707027424699512939690162106494741<73>
factorization results 素因数分解の結果
N=2729207236502812733259372363065554408824550994168729421965069766301559599743964335680514328492191848629258531134060632673850152991306517
  ( 136 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=818805245253363037979755434848349483129820802023287866630747137 (pp63)
 r2=3333157979048257930518317233116193419276707027424699512939690162106494741 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 6.05 hours.
Scaled time: 12.88 units (timescale=2.127).
Factorization parameters were as follows:
n: 2729207236502812733259372363065554408824550994168729421965069766301559599743964335680514328492191848629258531134060632673850152991306517
m: 50000000000000000000000000000
deg: 5
c5: 16
c0: 2695
skew: 2.79
# Murphy_E = 1.91e-09
type: snfs
lss: 1
rlim: 1810000
alim: 1810000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1810000/1810000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [905000, 2105001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 304668 x 304894
Total sieving time: 5.89 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1810000,1810000,26,26,49,49,2.3,2.3,100000
total time: 6.05 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 10, 2014 19:25:14 UTC 2014 年 12 月 11 日 (木) 4 時 25 分 14 秒 (日本時間)
403e6410 / 2126110Ignacio SantosDecember 10, 2014 19:25:14 UTC 2014 年 12 月 11 日 (木) 4 時 25 分 14 秒 (日本時間)
300Serge BatalovDecember 10, 2014 19:46:51 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 51 秒 (日本時間)
4511e632 / 4371Ignacio SantosDecember 10, 2014 19:25:14 UTC 2014 年 12 月 11 日 (木) 4 時 25 分 14 秒 (日本時間)

10148+5399

c99

name 名前KTakahashi
date 日付December 6, 2014 18:41:15 UTC 2014 年 12 月 7 日 (日) 3 時 41 分 15 秒 (日本時間)
composite number 合成数
177779815740659549880794529115422923964463408321036681871525430910501804636868741646124523159220863<99>
prime factors 素因数
295962806893306882951845781270135369586897<42>
600682962858736123373480964381578170280837265557456448079<57>
factorization results 素因数分解の結果
Number: 11171_148
N=177779815740659549880794529115422923964463408321036681871525430910501804636868741646124523159220863
  ( 99 digits)
Divisors found:
 r1=295962806893306882951845781270135369586897 (pp42)
 r2=600682962858736123373480964381578170280837265557456448079 (pp57)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.02 hours.
Scaled time: 8.75 units (timescale=1.742).
Factorization parameters were as follows:
name: 11171_148
n: 177779815740659549880794529115422923964463408321036681871525430910501804636868741646124523159220863
skew: 12134.81
# norm 3.58e+013
c5: 9660
c4: 32886725
c3: -4665854047722
c2: -4850506455572536
c1: 260335327586845017720
c0: 339864633717871087306928
# alpha -6.06
Y1: 2153522101
Y0: -7128218042880214587
# Murphy_E 4.36e-009
# M 136631068533931787798151652496595273048872408104323574817235836187065261412518740879404363854093973
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 160271 x 160496
Polynomial selection time: 0.34 hours.
Total sieving time: 4.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.02 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
351e6904118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
786KTakahashiDecember 6, 2014 18:40:36 UTC 2014 年 12 月 7 日 (日) 3 時 40 分 36 秒 (日本時間)

10149+5399

c106

name 名前Erik Branger
date 日付December 8, 2014 21:02:48 UTC 2014 年 12 月 9 日 (火) 6 時 2 分 48 秒 (日本時間)
composite number 合成数
4122132682853530802278216774210552143649277542050580745076072215283571313825484575083600490182802096563033<106>
prime factors 素因数
246268918283354488792604227896927432196111<42>
16738339176487741996281124698494258434638216153530862853790727703<65>
factorization results 素因数分解の結果
Number: 11171_149
N = 4122132682853530802278216774210552143649277542050580745076072215283571313825484575083600490182802096563033 (106 digits)
Divisors found:
r1=246268918283354488792604227896927432196111 (pp42)
r2=16738339176487741996281124698494258434638216153530862853790727703 (pp65)
Version: Msieve v. 1.51 (SVN 845)
Total time: 4.88 hours.
Factorization parameters were as follows:
n: 4122132682853530802278216774210552143649277542050580745076072215283571313825484575083600490182802096563033
Y0: -64377015642994031646205525
Y1: 53696695807949
c0: 5577635455590043271458194634758
c1: 914192635734615699503033
c2: -120003674094223870
c3: -8370975856
c4: 240
skew: 16603732.42
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 4773821
Relations: 647638 relations
Pruned matrix : 367223 x 367451
Polynomial selection time: 0.00 hours.
Total sieving time: 4.70 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,105,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 4.88 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 8, 2014 17:05:23 UTC 2014 年 12 月 9 日 (火) 2 時 5 分 23 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 8, 2014 17:05:23 UTC 2014 年 12 月 9 日 (火) 2 時 5 分 23 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 8, 2014 17:05:23 UTC 2014 年 12 月 9 日 (火) 2 時 5 分 23 秒 (日本時間)

10150+5399

c131

name 名前Serge Batalov
date 日付December 11, 2014 01:32:58 UTC 2014 年 12 月 11 日 (木) 10 時 32 分 58 秒 (日本時間)
composite number 合成数
21077670883478943150416204437107392347075512194930798304620911262096126988136562342256906805423959052408934341510261251439312798757<131>
prime factors 素因数
262825623686210189225639740049<30>
80196407746924092766947848056530677405798595951142032199862148542190516229840539236450209213365815893<101>
factorization results 素因数分解の結果
Input number is 21077670883478943150416204437107392347075512194930798304620911262096126988136562342256906805423959052408934341510261251439312798757 (131 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2980899631
Step 1 took 7621ms
Step 2 took 6508ms
********** Factor found in step 2: 262825623686210189225639740049
Found probable prime factor of 30 digits: 262825623686210189225639740049
Probable prime cofactor 80196407746924092766947848056530677405798595951142032199862148542190516229840539236450209213365815893 has 101 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:52 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 52 秒 (日本時間)

10152+5399

c115

name 名前Pierre Jammes
date 日付December 15, 2014 21:12:06 UTC 2014 年 12 月 16 日 (火) 6 時 12 分 6 秒 (日本時間)
composite number 合成数
1356621669527794168557751164548895058059539679098679422951336814277195167500372542959374815765909927868284093382609<115>
prime factors 素因数
84633786975440435411423347554229<32>
16029315454376006792301148175760380665822339836702962621685793540719640863457362221<83>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=3391091761
Step 1 took 50692ms
Step 2 took 47108ms
********** Factor found in step 2: 84633786975440435411423347554229
Found probable prime factor of 32 digits: 84633786975440435411423347554229
Probable prime cofactor 16029315454376006792301148175760380665822339836702962621685793540719640863457362221 has 83 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Linux/Debian

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:52 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 52 秒 (日本時間)

10153+5399

c123

name 名前Dmitry Domanov
date 日付December 19, 2014 13:58:05 UTC 2014 年 12 月 19 日 (金) 22 時 58 分 5 秒 (日本時間)
composite number 合成数
390992014433981369385864212703362042647252293760075595065393018604550742280860645066614981067168635785566963190611995684707<123>
prime factors 素因数
206014857838504442291978485711561400743353999803<48>
1897882601945540154445609051083999909916247492595314810178397320514410306169<76>
factorization results 素因数分解の結果
N=390992014433981369385864212703362042647252293760075595065393018604550742280860645066614981067168635785566963190611995684707
  ( 123 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=206014857838504442291978485711561400743353999803 (pp48)
 r2=1897882601945540154445609051083999909916247492595314810178397320514410306169 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 16.46 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 390992014433981369385864212703362042647252293760075595065393018604550742280860645066614981067168635785566963190611995684707
m: 1000000000000000000000000000000
deg: 5
c5: 1000
c0: 539
skew: 0.88
# Murphy_E = 8.092e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
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: 50/50
Sieved rational special-q in [1250000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 459694 x 459921
Total sieving time: 16.08 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 16.46 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:46:52 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 52 秒 (日本時間)
4511e6596 / 4409Pierre JammesDecember 17, 2014 21:01:14 UTC 2014 年 12 月 18 日 (木) 6 時 1 分 14 秒 (日本時間)

10154+5399

c129

name 名前Cyp
date 日付December 18, 2014 21:14:31 UTC 2014 年 12 月 19 日 (金) 6 時 14 分 31 秒 (日本時間)
composite number 合成数
232936174540746748735978714467961434081954693873660967429234748619840647052937203436390902843340707420276800865610858636293996317<129>
prime factors 素因数
3383540629155690621912919639733737420819712762921<49>
68843912360193029384693617749804423521599082063662271441207516273777805530923477<80>
factorization results 素因数分解の結果
12/18/14 19:54:14 v1.34.3, 
12/18/14 19:54:14 v1.34.3, ****************************
12/18/14 19:54:14 v1.34.3, Starting factorization of 232936174540746748735978714467961434081954693873660967429234748619840647052937203436390902843340707420276800865610858636293996317
12/18/14 19:54:14 v1.34.3, using pretesting plan: none
12/18/14 19:54:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/18/14 19:54:14 v1.34.3, ****************************
12/18/14 19:54:14 v1.34.3, nfs: commencing nfs on c129: 232936174540746748735978714467961434081954693873660967429234748619840647052937203436390902843340707420276800865610858636293996317
12/18/14 19:54:14 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/18/14 19:54:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 19:55:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
[140 lines snipped]
12/18/14 22:05:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 22:06:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 22:07:37 v1.34.3, nfs: commencing msieve filtering
12/18/14 22:09:18 v1.34.3, nfs: commencing msieve linear algebra
12/18/14 22:14:01 v1.34.3, nfs: commencing msieve sqrt
12/18/14 22:14:30 v1.34.3, prp49 = 3383540629155690621912919639733737420819712762921
12/18/14 22:14:30 v1.34.3, prp80 = 68843912360193029384693617749804423521599082063662271441207516273777805530923477
12/18/14 22:14:30 v1.34.3, NFS elapsed time = 8416.2105 seconds.
12/18/14 22:14:30 v1.34.3, 
12/18/14 22:14:30 v1.34.3, 
12/18/14 22:14:30 v1.34.3, Total factoring time = 8416.2112 seconds
--
Thu Dec 18 22:07:37 2014  
Thu Dec 18 22:07:37 2014  commencing relation filtering
Thu Dec 18 22:07:37 2014  estimated available RAM is 15987.3 MB
Thu Dec 18 22:07:37 2014  commencing duplicate removal, pass 1
Thu Dec 18 22:08:04 2014  found 1675895 hash collisions in 10070161 relations
Thu Dec 18 22:08:12 2014  added 355521 free relations
Thu Dec 18 22:08:12 2014  commencing duplicate removal, pass 2
Thu Dec 18 22:08:20 2014  found 1355627 duplicates and 9070055 unique relations
Thu Dec 18 22:08:20 2014  memory use: 41.3 MB
Thu Dec 18 22:08:20 2014  reading ideals above 100000
Thu Dec 18 22:08:20 2014  commencing singleton removal, initial pass
Thu Dec 18 22:08:59 2014  memory use: 188.2 MB
Thu Dec 18 22:08:59 2014  reading all ideals from disk
Thu Dec 18 22:08:59 2014  memory use: 306.8 MB
Thu Dec 18 22:08:59 2014  keeping 9513876 ideals with weight <= 200, target excess is 46098
Thu Dec 18 22:08:59 2014  commencing in-memory singleton removal
Thu Dec 18 22:09:00 2014  begin with 9070055 relations and 9513876 unique ideals
Thu Dec 18 22:09:03 2014  reduce to 4129963 relations and 3405387 ideals in 15 passes
Thu Dec 18 22:09:03 2014  max relations containing the same ideal: 119
Thu Dec 18 22:09:04 2014  removing 1175029 relations and 839478 ideals in 335551 cliques
Thu Dec 18 22:09:04 2014  commencing in-memory singleton removal
Thu Dec 18 22:09:04 2014  begin with 2954934 relations and 3405387 unique ideals
Thu Dec 18 22:09:05 2014  reduce to 2725362 relations and 2312972 ideals in 8 passes
Thu Dec 18 22:09:05 2014  max relations containing the same ideal: 92
Thu Dec 18 22:09:05 2014  removing 977219 relations and 641668 ideals in 335551 cliques
Thu Dec 18 22:09:06 2014  commencing in-memory singleton removal
Thu Dec 18 22:09:06 2014  begin with 1748143 relations and 2312972 unique ideals
Thu Dec 18 22:09:06 2014  reduce to 1549267 relations and 1447158 ideals in 9 passes
Thu Dec 18 22:09:06 2014  max relations containing the same ideal: 61
Thu Dec 18 22:09:06 2014  removing 206788 relations and 158153 ideals in 48635 cliques
Thu Dec 18 22:09:07 2014  commencing in-memory singleton removal
Thu Dec 18 22:09:07 2014  begin with 1342479 relations and 1447158 unique ideals
Thu Dec 18 22:09:07 2014  reduce to 1322257 relations and 1268104 ideals in 6 passes
Thu Dec 18 22:09:07 2014  max relations containing the same ideal: 54
Thu Dec 18 22:09:07 2014  relations with 0 large ideals: 1022
Thu Dec 18 22:09:07 2014  relations with 1 large ideals: 684
Thu Dec 18 22:09:07 2014  relations with 2 large ideals: 9996
Thu Dec 18 22:09:07 2014  relations with 3 large ideals: 63852
Thu Dec 18 22:09:07 2014  relations with 4 large ideals: 201464
Thu Dec 18 22:09:07 2014  relations with 5 large ideals: 355159
Thu Dec 18 22:09:07 2014  relations with 6 large ideals: 378026
Thu Dec 18 22:09:07 2014  relations with 7+ large ideals: 312054
Thu Dec 18 22:09:07 2014  commencing 2-way merge
Thu Dec 18 22:09:08 2014  reduce to 831798 relation sets and 777645 unique ideals
Thu Dec 18 22:09:08 2014  commencing full merge
Thu Dec 18 22:09:15 2014  memory use: 99.8 MB
Thu Dec 18 22:09:15 2014  found 429498 cycles, need 421845
Thu Dec 18 22:09:15 2014  weight of 421845 cycles is about 29925393 (70.94/cycle)
Thu Dec 18 22:09:15 2014  distribution of cycle lengths:
Thu Dec 18 22:09:15 2014  1 relations: 28724
Thu Dec 18 22:09:15 2014  2 relations: 39471
Thu Dec 18 22:09:15 2014  3 relations: 44607
Thu Dec 18 22:09:15 2014  4 relations: 44608
Thu Dec 18 22:09:15 2014  5 relations: 44079
Thu Dec 18 22:09:15 2014  6 relations: 41071
Thu Dec 18 22:09:15 2014  7 relations: 36773
Thu Dec 18 22:09:15 2014  8 relations: 31766
Thu Dec 18 22:09:15 2014  9 relations: 26855
Thu Dec 18 22:09:15 2014  10+ relations: 83891
Thu Dec 18 22:09:15 2014  heaviest cycle: 20 relations
Thu Dec 18 22:09:15 2014  commencing cycle optimization
Thu Dec 18 22:09:16 2014  start with 2661796 relations
Thu Dec 18 22:09:18 2014  pruned 81511 relations
Thu Dec 18 22:09:18 2014  memory use: 81.9 MB
Thu Dec 18 22:09:18 2014  distribution of cycle lengths:
Thu Dec 18 22:09:18 2014  1 relations: 28724
Thu Dec 18 22:09:18 2014  2 relations: 40269
Thu Dec 18 22:09:18 2014  3 relations: 46362
Thu Dec 18 22:09:18 2014  4 relations: 46143
Thu Dec 18 22:09:18 2014  5 relations: 45644
Thu Dec 18 22:09:18 2014  6 relations: 42352
Thu Dec 18 22:09:18 2014  7 relations: 37899
Thu Dec 18 22:09:18 2014  8 relations: 32421
Thu Dec 18 22:09:18 2014  9 relations: 26808
Thu Dec 18 22:09:18 2014  10+ relations: 75223
Thu Dec 18 22:09:18 2014  heaviest cycle: 20 relations
Thu Dec 18 22:09:18 2014  RelProcTime: 101
Thu Dec 18 22:09:18 2014  
Thu Dec 18 22:09:18 2014  commencing linear algebra
Thu Dec 18 22:09:19 2014  read 421845 cycles
Thu Dec 18 22:09:19 2014  cycles contain 1287591 unique relations
Thu Dec 18 22:09:28 2014  read 1287591 relations
Thu Dec 18 22:09:29 2014  using 20 quadratic characters above 134212452
Thu Dec 18 22:09:32 2014  building initial matrix
Thu Dec 18 22:09:39 2014  memory use: 156.7 MB
Thu Dec 18 22:09:39 2014  read 421845 cycles
Thu Dec 18 22:09:39 2014  matrix is 421668 x 421845 (126.6 MB) with weight 37526280 (88.96/col)
Thu Dec 18 22:09:39 2014  sparse part has weight 28546799 (67.67/col)
Thu Dec 18 22:09:41 2014  filtering completed in 2 passes
Thu Dec 18 22:09:41 2014  matrix is 421584 x 421761 (126.6 MB) with weight 37522312 (88.97/col)
Thu Dec 18 22:09:41 2014  sparse part has weight 28544699 (67.68/col)
Thu Dec 18 22:09:42 2014  matrix starts at (0, 0)
Thu Dec 18 22:09:42 2014  matrix is 421584 x 421761 (126.6 MB) with weight 37522312 (88.97/col)
Thu Dec 18 22:09:42 2014  sparse part has weight 28544699 (67.68/col)
Thu Dec 18 22:09:42 2014  saving the first 48 matrix rows for later
Thu Dec 18 22:09:42 2014  matrix includes 64 packed rows
Thu Dec 18 22:09:42 2014  matrix is 421536 x 421761 (119.1 MB) with weight 29792699 (70.64/col)
Thu Dec 18 22:09:42 2014  sparse part has weight 26991399 (64.00/col)
Thu Dec 18 22:09:42 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 18 22:09:43 2014  commencing Lanczos iteration (8 threads)
Thu Dec 18 22:09:43 2014  memory use: 114.6 MB
Thu Dec 18 22:09:50 2014  linear algebra at 2.9%, ETA 0h 3m
Thu Dec 18 22:14:01 2014  lanczos halted after 6667 iterations (dim = 421536)
Thu Dec 18 22:14:01 2014  recovered 40 nontrivial dependencies
Thu Dec 18 22:14:01 2014  BLanczosTime: 283
Thu Dec 18 22:14:01 2014  
Thu Dec 18 22:14:01 2014  commencing square root phase
Thu Dec 18 22:14:01 2014  reading relations for dependency 1
Thu Dec 18 22:14:01 2014  read 210884 cycles
Thu Dec 18 22:14:02 2014  cycles contain 643824 unique relations
Thu Dec 18 22:14:09 2014  read 643824 relations
Thu Dec 18 22:14:10 2014  multiplying 643824 relations
Thu Dec 18 22:14:20 2014  multiply complete, coefficients have about 16.23 million bits
Thu Dec 18 22:14:20 2014  initial square root is modulo 2114950891
Thu Dec 18 22:14:30 2014  sqrtTime: 29
--
n: 232936174540746748735978714467961434081954693873660967429234748619840647052937203436390902843340707420276800865610858636293996317
m: 5000000000000000000000000000000
deg: 5
c5: 16
c0: 2695
skew: 2.79
# Murphy_E = 8.002e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:53 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 53 秒 (日本時間)

10156+5399

c135

name 名前Cyp
date 日付December 18, 2014 09:27:14 UTC 2014 年 12 月 18 日 (木) 18 時 27 分 14 秒 (日本時間)
composite number 合成数
444709626861231716955574296594736443051410915340936477656327501379751259871623654829186088844717661722639515155460814544146636297607811<135>
prime factors 素因数
1436661314408893055697943300815463098561940016446737595696325563<64>
309543816904546647929763591459350279531586568924987526672815159756481497<72>
factorization results 素因数分解の結果
12/18/14 08:11:20 v1.34.3, 
12/18/14 08:11:20 v1.34.3, ****************************
12/18/14 08:11:20 v1.34.3, Starting factorization of 444709626861231716955574296594736443051410915340936477656327501379751259871623654829186088844717661722639515155460814544146636297607811
12/18/14 08:11:20 v1.34.3, using pretesting plan: none
12/18/14 08:11:20 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/18/14 08:11:20 v1.34.3, ****************************
12/18/14 08:11:20 v1.34.3, nfs: commencing nfs on c135: 444709626861231716955574296594736443051410915340936477656327501379751259871623654829186088844717661722639515155460814544146636297607811
12/18/14 08:11:20 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/18/14 08:11:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 08:12:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
[130 lines snipped]
12/18/14 10:18:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 10:19:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 10:20:29 v1.34.3, nfs: commencing msieve filtering
12/18/14 10:22:09 v1.34.3, nfs: commencing msieve linear algebra
12/18/14 10:26:44 v1.34.3, nfs: commencing msieve sqrt
12/18/14 10:27:13 v1.34.3, prp64 = 1436661314408893055697943300815463098561940016446737595696325563
12/18/14 10:27:13 v1.34.3, prp72 = 309543816904546647929763591459350279531586568924987526672815159756481497
12/18/14 10:27:13 v1.34.3, NFS elapsed time = 8153.4822 seconds.
12/18/14 10:27:13 v1.34.3, 
12/18/14 10:27:13 v1.34.3, 
12/18/14 10:27:13 v1.34.3, Total factoring time = 8153.4828 seconds
--
Thu Dec 18 10:20:29 2014  
Thu Dec 18 10:20:29 2014  commencing relation filtering
Thu Dec 18 10:20:29 2014  estimated available RAM is 15987.3 MB
Thu Dec 18 10:20:29 2014  commencing duplicate removal, pass 1
Thu Dec 18 10:20:55 2014  found 1617455 hash collisions in 10047618 relations
Thu Dec 18 10:21:03 2014  added 356220 free relations
Thu Dec 18 10:21:03 2014  commencing duplicate removal, pass 2
Thu Dec 18 10:21:11 2014  found 1276225 duplicates and 9127613 unique relations
Thu Dec 18 10:21:11 2014  memory use: 41.3 MB
Thu Dec 18 10:21:11 2014  reading ideals above 100000
Thu Dec 18 10:21:11 2014  commencing singleton removal, initial pass
Thu Dec 18 10:21:49 2014  memory use: 188.2 MB
Thu Dec 18 10:21:49 2014  reading all ideals from disk
Thu Dec 18 10:21:49 2014  memory use: 308.4 MB
Thu Dec 18 10:21:50 2014  keeping 9543567 ideals with weight <= 200, target excess is 46075
Thu Dec 18 10:21:50 2014  commencing in-memory singleton removal
Thu Dec 18 10:21:50 2014  begin with 9127613 relations and 9543567 unique ideals
Thu Dec 18 10:21:53 2014  reduce to 4187291 relations and 3437900 ideals in 13 passes
Thu Dec 18 10:21:53 2014  max relations containing the same ideal: 123
Thu Dec 18 10:21:54 2014  removing 1199383 relations and 851411 ideals in 347972 cliques
Thu Dec 18 10:21:54 2014  commencing in-memory singleton removal
Thu Dec 18 10:21:54 2014  begin with 2987908 relations and 3437900 unique ideals
Thu Dec 18 10:21:55 2014  reduce to 2752491 relations and 2326799 ideals in 8 passes
Thu Dec 18 10:21:55 2014  max relations containing the same ideal: 93
Thu Dec 18 10:21:56 2014  removing 1002821 relations and 654849 ideals in 347972 cliques
Thu Dec 18 10:21:56 2014  commencing in-memory singleton removal
Thu Dec 18 10:21:56 2014  begin with 1749670 relations and 2326799 unique ideals
Thu Dec 18 10:21:57 2014  reduce to 1543322 relations and 1438833 ideals in 10 passes
Thu Dec 18 10:21:57 2014  max relations containing the same ideal: 61
Thu Dec 18 10:21:57 2014  removing 215077 relations and 164035 ideals in 51042 cliques
Thu Dec 18 10:21:57 2014  commencing in-memory singleton removal
Thu Dec 18 10:21:57 2014  begin with 1328245 relations and 1438833 unique ideals
Thu Dec 18 10:21:57 2014  reduce to 1305645 relations and 1251388 ideals in 7 passes
Thu Dec 18 10:21:57 2014  max relations containing the same ideal: 53
Thu Dec 18 10:21:58 2014  relations with 0 large ideals: 1058
Thu Dec 18 10:21:58 2014  relations with 1 large ideals: 677
Thu Dec 18 10:21:58 2014  relations with 2 large ideals: 10286
Thu Dec 18 10:21:58 2014  relations with 3 large ideals: 63040
Thu Dec 18 10:21:58 2014  relations with 4 large ideals: 200297
Thu Dec 18 10:21:58 2014  relations with 5 large ideals: 351301
Thu Dec 18 10:21:58 2014  relations with 6 large ideals: 372786
Thu Dec 18 10:21:58 2014  relations with 7+ large ideals: 306200
Thu Dec 18 10:21:58 2014  commencing 2-way merge
Thu Dec 18 10:21:58 2014  reduce to 819621 relation sets and 765364 unique ideals
Thu Dec 18 10:21:58 2014  commencing full merge
Thu Dec 18 10:22:05 2014  memory use: 98.7 MB
Thu Dec 18 10:22:06 2014  found 423278 cycles, need 415564
Thu Dec 18 10:22:06 2014  weight of 415564 cycles is about 29176347 (70.21/cycle)
Thu Dec 18 10:22:06 2014  distribution of cycle lengths:
Thu Dec 18 10:22:06 2014  1 relations: 29196
Thu Dec 18 10:22:06 2014  2 relations: 39023
Thu Dec 18 10:22:06 2014  3 relations: 44047
Thu Dec 18 10:22:06 2014  4 relations: 43696
Thu Dec 18 10:22:06 2014  5 relations: 42992
Thu Dec 18 10:22:06 2014  6 relations: 40177
Thu Dec 18 10:22:06 2014  7 relations: 36158
Thu Dec 18 10:22:06 2014  8 relations: 31313
Thu Dec 18 10:22:06 2014  9 relations: 26366
Thu Dec 18 10:22:06 2014  10+ relations: 82596
Thu Dec 18 10:22:06 2014  heaviest cycle: 20 relations
Thu Dec 18 10:22:06 2014  commencing cycle optimization
Thu Dec 18 10:22:06 2014  start with 2619048 relations
Thu Dec 18 10:22:08 2014  pruned 80046 relations
Thu Dec 18 10:22:08 2014  memory use: 80.7 MB
Thu Dec 18 10:22:08 2014  distribution of cycle lengths:
Thu Dec 18 10:22:08 2014  1 relations: 29196
Thu Dec 18 10:22:08 2014  2 relations: 39817
Thu Dec 18 10:22:08 2014  3 relations: 45718
Thu Dec 18 10:22:08 2014  4 relations: 45169
Thu Dec 18 10:22:08 2014  5 relations: 44618
Thu Dec 18 10:22:08 2014  6 relations: 41433
Thu Dec 18 10:22:08 2014  7 relations: 37265
Thu Dec 18 10:22:08 2014  8 relations: 31721
Thu Dec 18 10:22:08 2014  9 relations: 26424
Thu Dec 18 10:22:08 2014  10+ relations: 74203
Thu Dec 18 10:22:08 2014  heaviest cycle: 20 relations
Thu Dec 18 10:22:09 2014  RelProcTime: 100
Thu Dec 18 10:22:09 2014  
Thu Dec 18 10:22:09 2014  commencing linear algebra
Thu Dec 18 10:22:09 2014  read 415564 cycles
Thu Dec 18 10:22:09 2014  cycles contain 1269614 unique relations
Thu Dec 18 10:22:18 2014  read 1269614 relations
Thu Dec 18 10:22:19 2014  using 20 quadratic characters above 134202878
Thu Dec 18 10:22:23 2014  building initial matrix
Thu Dec 18 10:22:29 2014  memory use: 156.8 MB
Thu Dec 18 10:22:29 2014  read 415564 cycles
Thu Dec 18 10:22:29 2014  matrix is 415387 x 415564 (123.7 MB) with weight 37519600 (90.29/col)
Thu Dec 18 10:22:29 2014  sparse part has weight 27862854 (67.05/col)
Thu Dec 18 10:22:31 2014  filtering completed in 2 passes
Thu Dec 18 10:22:31 2014  matrix is 415302 x 415479 (123.7 MB) with weight 37515830 (90.30/col)
Thu Dec 18 10:22:31 2014  sparse part has weight 27860968 (67.06/col)
Thu Dec 18 10:22:32 2014  matrix starts at (0, 0)
Thu Dec 18 10:22:32 2014  matrix is 415302 x 415479 (123.7 MB) with weight 37515830 (90.30/col)
Thu Dec 18 10:22:32 2014  sparse part has weight 27860968 (67.06/col)
Thu Dec 18 10:22:32 2014  saving the first 48 matrix rows for later
Thu Dec 18 10:22:32 2014  matrix includes 64 packed rows
Thu Dec 18 10:22:32 2014  matrix is 415254 x 415479 (117.6 MB) with weight 29704093 (71.49/col)
Thu Dec 18 10:22:32 2014  sparse part has weight 26660483 (64.17/col)
Thu Dec 18 10:22:32 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 18 10:22:33 2014  commencing Lanczos iteration (8 threads)
Thu Dec 18 10:22:33 2014  memory use: 113.1 MB
Thu Dec 18 10:22:40 2014  linear algebra at 2.9%, ETA 0h 3m
Thu Dec 18 10:26:44 2014  lanczos halted after 6568 iterations (dim = 415252)
Thu Dec 18 10:26:44 2014  recovered 38 nontrivial dependencies
Thu Dec 18 10:26:44 2014  BLanczosTime: 275
Thu Dec 18 10:26:44 2014  
Thu Dec 18 10:26:44 2014  commencing square root phase
Thu Dec 18 10:26:44 2014  reading relations for dependency 1
Thu Dec 18 10:26:44 2014  read 207111 cycles
Thu Dec 18 10:26:44 2014  cycles contain 633322 unique relations
Thu Dec 18 10:26:51 2014  read 633322 relations
Thu Dec 18 10:26:53 2014  multiplying 633322 relations
Thu Dec 18 10:27:02 2014  multiply complete, coefficients have about 15.43 million bits
Thu Dec 18 10:27:02 2014  initial square root is modulo 737412191
Thu Dec 18 10:27:13 2014  sqrtTime: 29
--
n: 444709626861231716955574296594736443051410915340936477656327501379751259871623654829186088844717661722639515155460814544146636297607811
m: 10000000000000000000000000000000
deg: 5
c5: 10
c0: 539
skew: 2.22
# Murphy_E = 8.23e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:53 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 53 秒 (日本時間)

10157+5399

c114

name 名前Serge Batalov
date 日付December 10, 2014 20:16:36 UTC 2014 年 12 月 11 日 (木) 5 時 16 分 36 秒 (日本時間)
composite number 合成数
259740286853071473968752135598859397791608040874885665294384454912210887882698580805340706407097822373907917700431<114>
prime factors 素因数
1691982303931569990731513930406362177<37>
153512413368347101719082632074455475522377583022109952399540159347176275170703<78>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1610198761
Step 1 took 6122ms
Step 2 took 5716ms
********** Factor found in step 2: 1691982303931569990731513930406362177
Found probable prime factor of 37 digits: 1691982303931569990731513930406362177
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:54 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 54 秒 (日本時間)

10158+5399

c144

name 名前Cyp
date 日付December 16, 2014 14:22:39 UTC 2014 年 12 月 16 日 (火) 23 時 22 分 39 秒 (日本時間)
composite number 合成数
439714721100988621703249121302373677114813823359422701249471538258230462272834482094190931887166335898989709161103653444092846461188316558173437<144>
prime factors 素因数
187264772604633542954671672398782797973133794477866571233197113<63>
2348090967591352744063503690448116664252695972749049259183804965735491677018437349<82>
factorization results 素因数分解の結果
12/16/14 11:59:30 v1.34.3, 
12/16/14 11:59:30 v1.34.3, ****************************
12/16/14 11:59:30 v1.34.3, Starting factorization of 439714721100988621703249121302373677114813823359422701249471538258230462272834482094190931887166335898989709161103653444092846461188316558173437
12/16/14 11:59:30 v1.34.3, using pretesting plan: none
12/16/14 11:59:30 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/16/14 11:59:30 v1.34.3, ****************************
12/16/14 11:59:30 v1.34.3, nfs: commencing nfs on c144: 439714721100988621703249121302373677114813823359422701249471538258230462272834482094190931887166335898989709161103653444092846461188316558173437
12/16/14 11:59:30 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/16/14 11:59:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 12:03:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
12/16/14 15:06:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 15:10:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 15:15:12 v1.34.3, nfs: commencing msieve filtering
12/16/14 15:16:59 v1.34.3, nfs: commencing msieve linear algebra
12/16/14 15:21:59 v1.34.3, nfs: commencing msieve sqrt
12/16/14 15:22:38 v1.34.3, prp82 = 2348090967591352744063503690448116664252695972749049259183804965735491677018437349
12/16/14 15:22:38 v1.34.3, prp63 = 187264772604633542954671672398782797973133794477866571233197113
12/16/14 15:22:38 v1.34.3, NFS elapsed time = 12187.8800 seconds.
12/16/14 15:22:38 v1.34.3, 
12/16/14 15:22:38 v1.34.3, 
12/16/14 15:22:38 v1.34.3, Total factoring time = 12187.8808 seconds
--
Tue Dec 16 15:15:12 2014  
Tue Dec 16 15:15:12 2014  commencing relation filtering
Tue Dec 16 15:15:12 2014  estimated available RAM is 15987.3 MB
Tue Dec 16 15:15:12 2014  commencing duplicate removal, pass 1
Tue Dec 16 15:15:40 2014  found 1448220 hash collisions in 10206950 relations
Tue Dec 16 15:15:48 2014  added 359238 free relations
Tue Dec 16 15:15:48 2014  commencing duplicate removal, pass 2
Tue Dec 16 15:15:56 2014  found 1016765 duplicates and 9549423 unique relations
Tue Dec 16 15:15:56 2014  memory use: 41.3 MB
Tue Dec 16 15:15:56 2014  reading ideals above 100000
Tue Dec 16 15:15:56 2014  commencing singleton removal, initial pass
Tue Dec 16 15:16:38 2014  memory use: 188.2 MB
Tue Dec 16 15:16:38 2014  reading all ideals from disk
Tue Dec 16 15:16:38 2014  memory use: 333.9 MB
Tue Dec 16 15:16:38 2014  keeping 9769207 ideals with weight <= 200, target excess is 51784
Tue Dec 16 15:16:39 2014  commencing in-memory singleton removal
Tue Dec 16 15:16:39 2014  begin with 9549423 relations and 9769207 unique ideals
Tue Dec 16 15:16:42 2014  reduce to 4633550 relations and 3746432 ideals in 12 passes
Tue Dec 16 15:16:42 2014  max relations containing the same ideal: 128
Tue Dec 16 15:16:43 2014  removing 1314169 relations and 914169 ideals in 400000 cliques
Tue Dec 16 15:16:43 2014  commencing in-memory singleton removal
Tue Dec 16 15:16:43 2014  begin with 3319381 relations and 3746432 unique ideals
Tue Dec 16 15:16:45 2014  reduce to 3074351 relations and 2561642 ideals in 9 passes
Tue Dec 16 15:16:45 2014  max relations containing the same ideal: 92
Tue Dec 16 15:16:45 2014  removing 1114156 relations and 714156 ideals in 400000 cliques
Tue Dec 16 15:16:46 2014  commencing in-memory singleton removal
Tue Dec 16 15:16:46 2014  begin with 1960195 relations and 2561642 unique ideals
Tue Dec 16 15:16:46 2014  reduce to 1734114 relations and 1592700 ideals in 8 passes
Tue Dec 16 15:16:46 2014  max relations containing the same ideal: 65
Tue Dec 16 15:16:46 2014  removing 307062 relations and 225718 ideals in 81344 cliques
Tue Dec 16 15:16:47 2014  commencing in-memory singleton removal
Tue Dec 16 15:16:47 2014  begin with 1427052 relations and 1592700 unique ideals
Tue Dec 16 15:16:47 2014  reduce to 1382196 relations and 1319955 ideals in 8 passes
Tue Dec 16 15:16:47 2014  max relations containing the same ideal: 54
Tue Dec 16 15:16:47 2014  relations with 0 large ideals: 1202
Tue Dec 16 15:16:47 2014  relations with 1 large ideals: 595
Tue Dec 16 15:16:47 2014  relations with 2 large ideals: 8750
Tue Dec 16 15:16:47 2014  relations with 3 large ideals: 56977
Tue Dec 16 15:16:47 2014  relations with 4 large ideals: 190115
Tue Dec 16 15:16:47 2014  relations with 5 large ideals: 353717
Tue Dec 16 15:16:47 2014  relations with 6 large ideals: 399157
Tue Dec 16 15:16:47 2014  relations with 7+ large ideals: 371683
Tue Dec 16 15:16:47 2014  commencing 2-way merge
Tue Dec 16 15:16:48 2014  reduce to 858514 relation sets and 796273 unique ideals
Tue Dec 16 15:16:48 2014  commencing full merge
Tue Dec 16 15:16:55 2014  memory use: 104.1 MB
Tue Dec 16 15:16:55 2014  found 444470 cycles, need 434473
Tue Dec 16 15:16:56 2014  weight of 434473 cycles is about 30529072 (70.27/cycle)
Tue Dec 16 15:16:56 2014  distribution of cycle lengths:
Tue Dec 16 15:16:56 2014  1 relations: 38614
Tue Dec 16 15:16:56 2014  2 relations: 42298
Tue Dec 16 15:16:56 2014  3 relations: 46060
Tue Dec 16 15:16:56 2014  4 relations: 46295
Tue Dec 16 15:16:56 2014  5 relations: 45321
Tue Dec 16 15:16:56 2014  6 relations: 42079
Tue Dec 16 15:16:56 2014  7 relations: 37525
Tue Dec 16 15:16:56 2014  8 relations: 32350
Tue Dec 16 15:16:56 2014  9 relations: 26346
Tue Dec 16 15:16:56 2014  10+ relations: 77585
Tue Dec 16 15:16:56 2014  heaviest cycle: 19 relations
Tue Dec 16 15:16:56 2014  commencing cycle optimization
Tue Dec 16 15:16:56 2014  start with 2616955 relations
Tue Dec 16 15:16:58 2014  pruned 80299 relations
Tue Dec 16 15:16:58 2014  memory use: 82.9 MB
Tue Dec 16 15:16:58 2014  distribution of cycle lengths:
Tue Dec 16 15:16:58 2014  1 relations: 38614
Tue Dec 16 15:16:58 2014  2 relations: 43236
Tue Dec 16 15:16:58 2014  3 relations: 47797
Tue Dec 16 15:16:58 2014  4 relations: 47945
Tue Dec 16 15:16:58 2014  5 relations: 46985
Tue Dec 16 15:16:58 2014  6 relations: 43541
Tue Dec 16 15:16:58 2014  7 relations: 38547
Tue Dec 16 15:16:58 2014  8 relations: 32773
Tue Dec 16 15:16:58 2014  9 relations: 26109
Tue Dec 16 15:16:58 2014  10+ relations: 68926
Tue Dec 16 15:16:58 2014  heaviest cycle: 19 relations
Tue Dec 16 15:16:59 2014  RelProcTime: 107
Tue Dec 16 15:16:59 2014  
Tue Dec 16 15:16:59 2014  commencing linear algebra
Tue Dec 16 15:16:59 2014  read 434473 cycles
Tue Dec 16 15:16:59 2014  cycles contain 1334049 unique relations
Tue Dec 16 15:17:08 2014  read 1334049 relations
Tue Dec 16 15:17:09 2014  using 20 quadratic characters above 134212698
Tue Dec 16 15:17:13 2014  building initial matrix
Tue Dec 16 15:17:20 2014  memory use: 166.1 MB
Tue Dec 16 15:17:20 2014  read 434473 cycles
Tue Dec 16 15:17:20 2014  matrix is 434299 x 434473 (129.3 MB) with weight 38367625 (88.31/col)
Tue Dec 16 15:17:20 2014  sparse part has weight 29124541 (67.03/col)
Tue Dec 16 15:17:22 2014  filtering completed in 2 passes
Tue Dec 16 15:17:22 2014  matrix is 434146 x 434323 (129.3 MB) with weight 38361142 (88.32/col)
Tue Dec 16 15:17:22 2014  sparse part has weight 29121231 (67.05/col)
Tue Dec 16 15:17:23 2014  matrix starts at (0, 0)
Tue Dec 16 15:17:23 2014  matrix is 434146 x 434323 (129.3 MB) with weight 38361142 (88.32/col)
Tue Dec 16 15:17:23 2014  sparse part has weight 29121231 (67.05/col)
Tue Dec 16 15:17:23 2014  saving the first 48 matrix rows for later
Tue Dec 16 15:17:23 2014  matrix includes 64 packed rows
Tue Dec 16 15:17:23 2014  matrix is 434098 x 434323 (122.0 MB) with weight 30282470 (69.72/col)
Tue Dec 16 15:17:23 2014  sparse part has weight 27640748 (63.64/col)
Tue Dec 16 15:17:23 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 16 15:17:24 2014  commencing Lanczos iteration (8 threads)
Tue Dec 16 15:17:24 2014  memory use: 118.1 MB
Tue Dec 16 15:17:31 2014  linear algebra at 2.8%, ETA 0h 4m
Tue Dec 16 15:21:59 2014  lanczos halted after 6866 iterations (dim = 434096)
Tue Dec 16 15:21:59 2014  recovered 37 nontrivial dependencies
Tue Dec 16 15:21:59 2014  BLanczosTime: 300
Tue Dec 16 15:21:59 2014  
Tue Dec 16 15:21:59 2014  commencing square root phase
Tue Dec 16 15:21:59 2014  reading relations for dependency 1
Tue Dec 16 15:21:59 2014  read 217368 cycles
Tue Dec 16 15:21:59 2014  cycles contain 667766 unique relations
Tue Dec 16 15:22:07 2014  read 667766 relations
Tue Dec 16 15:22:08 2014  multiplying 667766 relations
Tue Dec 16 15:22:22 2014  multiply complete, coefficients have about 20.85 million bits
Tue Dec 16 15:22:22 2014  initial square root is modulo 971251
Tue Dec 16 15:22:38 2014  sqrtTime: 39
--
n: 439714721100988621703249121302373677114813823359422701249471538258230462272834482094190931887166335898989709161103653444092846461188316558173437
m: 10000000000000000000000000000000
deg: 5
c5: 1000
c0: 539
skew: 0.88
# Murphy_E = 5.21e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:55 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 55 秒 (日本時間)

10159+5399

c149

name 名前Cyp
date 日付December 16, 2014 08:20:46 UTC 2014 年 12 月 16 日 (火) 17 時 20 分 46 秒 (日本時間)
composite number 合成数
27200042037295048067789576115067947602348095341589416329797321639675350543954680914561569794468080001212875986483341996588882276963950248818399825453<149>
prime factors 素因数
47139371320945209428268500141348071612679453041916235563621694410779<68>
577013253997500484694102021983488621704664156580008584434010852974280974000050007<81>
factorization results 素因数分解の結果
12/16/14 00:37:11 v1.34.3, 
12/16/14 00:37:11 v1.34.3, ****************************
12/16/14 00:37:11 v1.34.3, Starting factorization of 27200042037295048067789576115067947602348095341589416329797321639675350543954680914561569794468080001212875986483341996588882276963950248818399825453
12/16/14 00:37:11 v1.34.3, using pretesting plan: none
12/16/14 00:37:11 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/16/14 00:37:11 v1.34.3, ****************************
12/16/14 00:37:11 v1.34.3, nfs: commencing nfs on c149: 27200042037295048067789576115067947602348095341589416329797321639675350543954680914561569794468080001212875986483341996588882276963950248818399825453
12/16/14 00:37:11 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/16/14 00:37:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 00:41:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
[25 lines snipped]
12/16/14 02:31:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 02:35:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 03:40:38 v1.34.3, 
12/16/14 03:40:38 v1.34.3, ****************************
12/16/14 03:40:38 v1.34.3, Starting factorization of 27200042037295048067789576115067947602348095341589416329797321639675350543954680914561569794468080001212875986483341996588882276963950248818399825453
12/16/14 03:40:38 v1.34.3, using pretesting plan: none
12/16/14 03:40:38 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/16/14 03:40:38 v1.34.3, ****************************
12/16/14 03:40:38 v1.34.3, nfs: previous data file found - commencing search for last special-q
12/16/14 03:40:45 v1.34.3, nfs: parsing special-q from .dat file
12/16/14 03:40:45 v1.34.3, nfs: commencing nfs on c149: 27200042037295048067789576115067947602348095341589416329797321639675350543954680914561569794468080001212875986483341996588882276963950248818399825453
12/16/14 03:40:45 v1.34.3, nfs: resuming with filtering
12/16/14 03:40:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 06:51:55 v1.34.3, 
12/16/14 06:51:55 v1.34.3, ****************************
12/16/14 06:51:55 v1.34.3, Starting factorization of 27200042037295048067789576115067947602348095341589416329797321639675350543954680914561569794468080001212875986483341996588882276963950248818399825453
12/16/14 06:51:55 v1.34.3, using pretesting plan: none
12/16/14 06:51:55 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/16/14 06:51:55 v1.34.3, ****************************
12/16/14 06:51:55 v1.34.3, nfs: previous data file found - commencing search for last special-q
12/16/14 06:52:02 v1.34.3, nfs: parsing special-q from .dat file
12/16/14 06:52:02 v1.34.3, nfs: commencing nfs on c149: 27200042037295048067789576115067947602348095341589416329797321639675350543954680914561569794468080001212875986483341996588882276963950248818399825453
12/16/14 06:52:02 v1.34.3, nfs: resuming with filtering
12/16/14 06:52:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 07:00:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
[12 lines snipped]
12/16/14 08:45:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 08:52:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/16/14 09:01:04 v1.34.3, nfs: commencing msieve filtering
12/16/14 09:04:22 v1.34.3, nfs: commencing msieve linear algebra
12/16/14 09:17:17 v1.34.3, nfs: commencing msieve sqrt
12/16/14 09:20:45 v1.34.3, prp81 = 577013253997500484694102021983488621704664156580008584434010852974280974000050007
12/16/14 09:20:45 v1.34.3, prp68 = 47139371320945209428268500141348071612679453041916235563621694410779
12/16/14 09:20:45 v1.34.3, NFS elapsed time = 8929.8333 seconds.
12/16/14 09:20:45 v1.34.3, 
12/16/14 09:20:45 v1.34.3, 
12/16/14 09:20:45 v1.34.3, Total factoring time = 8929.8348 seconds
--
Tue Dec 16 09:01:04 2014  
Tue Dec 16 09:01:04 2014  commencing relation filtering
Tue Dec 16 09:01:04 2014  estimated available RAM is 15987.3 MB
Tue Dec 16 09:01:04 2014  commencing duplicate removal, pass 1
Tue Dec 16 09:01:58 2014  found 1390575 hash collisions in 10076416 relations
Tue Dec 16 09:02:15 2014  added 358487 free relations
Tue Dec 16 09:02:15 2014  commencing duplicate removal, pass 2
Tue Dec 16 09:02:29 2014  found 957886 duplicates and 9477017 unique relations
Tue Dec 16 09:02:29 2014  memory use: 41.3 MB
Tue Dec 16 09:02:29 2014  reading ideals above 100000
Tue Dec 16 09:02:29 2014  commencing singleton removal, initial pass
Tue Dec 16 09:03:41 2014  memory use: 188.2 MB
Tue Dec 16 09:03:41 2014  reading all ideals from disk
Tue Dec 16 09:03:41 2014  memory use: 332.1 MB
Tue Dec 16 09:03:42 2014  keeping 9747630 ideals with weight <= 200, target excess is 50876
Tue Dec 16 09:03:43 2014  commencing in-memory singleton removal
Tue Dec 16 09:03:43 2014  begin with 9477017 relations and 9747630 unique ideals
Tue Dec 16 09:03:51 2014  reduce to 4558233 relations and 3718773 ideals in 12 passes
Tue Dec 16 09:03:51 2014  max relations containing the same ideal: 125
Tue Dec 16 09:03:53 2014  removing 1297090 relations and 906868 ideals in 390222 cliques
Tue Dec 16 09:03:54 2014  commencing in-memory singleton removal
Tue Dec 16 09:03:54 2014  begin with 3261143 relations and 3718773 unique ideals
Tue Dec 16 09:03:56 2014  reduce to 3014803 relations and 2540056 ideals in 7 passes
Tue Dec 16 09:03:56 2014  max relations containing the same ideal: 93
Tue Dec 16 09:03:57 2014  removing 1097642 relations and 707421 ideals in 390222 cliques
Tue Dec 16 09:03:58 2014  commencing in-memory singleton removal
Tue Dec 16 09:03:58 2014  begin with 1917161 relations and 2540056 unique ideals
Tue Dec 16 09:03:59 2014  reduce to 1687645 relations and 1573538 ideals in 10 passes
Tue Dec 16 09:03:59 2014  max relations containing the same ideal: 63
Tue Dec 16 09:04:00 2014  removing 234754 relations and 179664 ideals in 55090 cliques
Tue Dec 16 09:04:00 2014  commencing in-memory singleton removal
Tue Dec 16 09:04:00 2014  begin with 1452891 relations and 1573538 unique ideals
Tue Dec 16 09:04:01 2014  reduce to 1425648 relations and 1365704 ideals in 8 passes
Tue Dec 16 09:04:01 2014  max relations containing the same ideal: 59
Tue Dec 16 09:04:03 2014  relations with 0 large ideals: 1140
Tue Dec 16 09:04:03 2014  relations with 1 large ideals: 526
Tue Dec 16 09:04:03 2014  relations with 2 large ideals: 7968
Tue Dec 16 09:04:03 2014  relations with 3 large ideals: 54217
Tue Dec 16 09:04:03 2014  relations with 4 large ideals: 185224
Tue Dec 16 09:04:03 2014  relations with 5 large ideals: 355723
Tue Dec 16 09:04:03 2014  relations with 6 large ideals: 415679
Tue Dec 16 09:04:03 2014  relations with 7+ large ideals: 405171
Tue Dec 16 09:04:03 2014  commencing 2-way merge
Tue Dec 16 09:04:03 2014  reduce to 884831 relation sets and 824887 unique ideals
Tue Dec 16 09:04:03 2014  commencing full merge
Tue Dec 16 09:04:16 2014  memory use: 107.5 MB
Tue Dec 16 09:04:16 2014  found 457714 cycles, need 449087
Tue Dec 16 09:04:16 2014  weight of 449087 cycles is about 31659565 (70.50/cycle)
Tue Dec 16 09:04:16 2014  distribution of cycle lengths:
Tue Dec 16 09:04:16 2014  1 relations: 40894
Tue Dec 16 09:04:16 2014  2 relations: 44356
Tue Dec 16 09:04:16 2014  3 relations: 47762
Tue Dec 16 09:04:16 2014  4 relations: 47987
Tue Dec 16 09:04:16 2014  5 relations: 46220
Tue Dec 16 09:04:16 2014  6 relations: 42889
Tue Dec 16 09:04:16 2014  7 relations: 38488
Tue Dec 16 09:04:16 2014  8 relations: 32223
Tue Dec 16 09:04:16 2014  9 relations: 26949
Tue Dec 16 09:04:16 2014  10+ relations: 81319
Tue Dec 16 09:04:16 2014  heaviest cycle: 19 relations
Tue Dec 16 09:04:16 2014  commencing cycle optimization
Tue Dec 16 09:04:17 2014  start with 2706462 relations
Tue Dec 16 09:04:21 2014  pruned 82594 relations
Tue Dec 16 09:04:21 2014  memory use: 85.8 MB
Tue Dec 16 09:04:21 2014  distribution of cycle lengths:
Tue Dec 16 09:04:21 2014  1 relations: 40894
Tue Dec 16 09:04:21 2014  2 relations: 45316
Tue Dec 16 09:04:21 2014  3 relations: 49570
Tue Dec 16 09:04:21 2014  4 relations: 49469
Tue Dec 16 09:04:21 2014  5 relations: 48066
Tue Dec 16 09:04:21 2014  6 relations: 44058
Tue Dec 16 09:04:21 2014  7 relations: 39591
Tue Dec 16 09:04:21 2014  8 relations: 32806
Tue Dec 16 09:04:21 2014  9 relations: 26870
Tue Dec 16 09:04:21 2014  10+ relations: 72447
Tue Dec 16 09:04:21 2014  heaviest cycle: 19 relations
Tue Dec 16 09:04:22 2014  RelProcTime: 198
Tue Dec 16 09:04:22 2014  
Tue Dec 16 09:04:22 2014  commencing linear algebra
Tue Dec 16 09:04:22 2014  read 449087 cycles
Tue Dec 16 09:04:22 2014  cycles contain 1384210 unique relations
Tue Dec 16 09:04:37 2014  read 1384210 relations
Tue Dec 16 09:04:38 2014  using 20 quadratic characters above 134204870
Tue Dec 16 09:04:45 2014  building initial matrix
Tue Dec 16 09:05:00 2014  memory use: 170.3 MB
Tue Dec 16 09:05:00 2014  read 449087 cycles
Tue Dec 16 09:05:01 2014  matrix is 448909 x 449087 (134.0 MB) with weight 39540507 (88.05/col)
Tue Dec 16 09:05:01 2014  sparse part has weight 30192295 (67.23/col)
Tue Dec 16 09:05:04 2014  filtering completed in 2 passes
Tue Dec 16 09:05:04 2014  matrix is 448779 x 448957 (134.0 MB) with weight 39536253 (88.06/col)
Tue Dec 16 09:05:04 2014  sparse part has weight 30190726 (67.25/col)
Tue Dec 16 09:05:05 2014  matrix starts at (0, 0)
Tue Dec 16 09:05:05 2014  matrix is 448779 x 448957 (134.0 MB) with weight 39536253 (88.06/col)
Tue Dec 16 09:05:05 2014  sparse part has weight 30190726 (67.25/col)
Tue Dec 16 09:05:05 2014  saving the first 48 matrix rows for later
Tue Dec 16 09:05:05 2014  matrix includes 64 packed rows
Tue Dec 16 09:05:05 2014  matrix is 448731 x 448957 (126.2 MB) with weight 31382759 (69.90/col)
Tue Dec 16 09:05:05 2014  sparse part has weight 28589779 (63.68/col)
Tue Dec 16 09:05:05 2014  using block size 65536 for processor cache size 8192 kB
Tue Dec 16 09:05:07 2014  commencing Lanczos iteration (8 threads)
Tue Dec 16 09:05:07 2014  memory use: 122.1 MB
Tue Dec 16 09:05:27 2014  linear algebra at 2.7%, ETA 0h11m
Tue Dec 16 09:17:17 2014  lanczos halted after 7098 iterations (dim = 448730)
Tue Dec 16 09:17:17 2014  recovered 39 nontrivial dependencies
Tue Dec 16 09:17:17 2014  BLanczosTime: 775
Tue Dec 16 09:17:17 2014  
Tue Dec 16 09:17:17 2014  commencing square root phase
Tue Dec 16 09:17:17 2014  reading relations for dependency 1
Tue Dec 16 09:17:18 2014  read 224216 cycles
Tue Dec 16 09:17:18 2014  cycles contain 691744 unique relations
Tue Dec 16 09:17:31 2014  read 691744 relations
Tue Dec 16 09:17:34 2014  multiplying 691744 relations
Tue Dec 16 09:17:57 2014  multiply complete, coefficients have about 18.06 million bits
Tue Dec 16 09:17:57 2014  initial square root is modulo 153841
Tue Dec 16 09:18:27 2014  GCD is N, no factor found
Tue Dec 16 09:18:27 2014  reading relations for dependency 2
Tue Dec 16 09:18:28 2014  read 224712 cycles
Tue Dec 16 09:18:28 2014  cycles contain 693338 unique relations
Tue Dec 16 09:18:41 2014  read 693338 relations
Tue Dec 16 09:18:44 2014  multiplying 693338 relations
Tue Dec 16 09:19:07 2014  multiply complete, coefficients have about 18.10 million bits
Tue Dec 16 09:19:07 2014  initial square root is modulo 158341
Tue Dec 16 09:19:36 2014  GCD is 1, no factor found
Tue Dec 16 09:19:36 2014  reading relations for dependency 3
Tue Dec 16 09:19:36 2014  read 224312 cycles
Tue Dec 16 09:19:36 2014  cycles contain 690898 unique relations
Tue Dec 16 09:19:49 2014  read 690898 relations
Tue Dec 16 09:19:53 2014  multiplying 690898 relations
Tue Dec 16 09:20:14 2014  multiply complete, coefficients have about 18.04 million bits
Tue Dec 16 09:20:15 2014  initial square root is modulo 151771
Tue Dec 16 09:20:45 2014  sqrtTime: 208
--
n: 27200042037295048067789576115067947602348095341589416329797321639675350543954680914561569794468080001212875986483341996588882276963950248818399825453
m: 50000000000000000000000000000000
deg: 5
c5: 16
c0: 2695
skew: 2.79
# Murphy_E = 5.141e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:55 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 55 秒 (日本時間)

10160+5399

c133

name 名前Serge Batalov
date 日付December 11, 2014 01:33:01 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 1 秒 (日本時間)
composite number 合成数
5911807052813219277729292845952237067679677427131384658148466753818978104413376231314536145507812043494561402588278129496678848715301<133>
prime factors 素因数
24329701023869898515599551017267<32>
242987246206319525677666312698109184463773952514704452665051288478450851236995460759920888431199090503<102>
factorization results 素因数分解の結果
Input number is 5911807052813219277729292845952237067679677427131384658148466753818978104413376231314536145507812043494561402588278129496678848715301 (133 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2558932086
Step 1 took 7167ms
Step 2 took 6055ms
********** Factor found in step 2: 24329701023869898515599551017267
Found probable prime factor of 32 digits: 24329701023869898515599551017267
Probable prime cofactor 242987246206319525677666312698109184463773952514704452665051288478450851236995460759920888431199090503 has 102 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:55 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 55 秒 (日本時間)

10161+5399

c135

name 名前Cyp
date 日付December 18, 2014 03:44:37 UTC 2014 年 12 月 18 日 (木) 12 時 44 分 37 秒 (日本時間)
composite number 合成数
523188558791350813803207396221102955182302002592603790220367860816420392215533517712219809351727147734345856657413940239373583323944279<135>
prime factors 素因数
66781176851969786406620879922338455290701634556353047<53>
7834371651626842736890415694293708898746225184339782480943081625786915930240689857<82>
factorization results 素因数分解の結果
12/18/14 01:14:15 v1.34.3, 
12/18/14 01:14:15 v1.34.3, ****************************
12/18/14 01:14:15 v1.34.3, Starting factorization of 523188558791350813803207396221102955182302002592603790220367860816420392215533517712219809351727147734345856657413940239373583323944279
12/18/14 01:14:15 v1.34.3, using pretesting plan: none
12/18/14 01:14:15 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/18/14 01:14:15 v1.34.3, ****************************
12/18/14 01:14:15 v1.34.3, nfs: commencing nfs on c135: 523188558791350813803207396221102955182302002592603790220367860816420392215533517712219809351727147734345856657413940239373583323944279
12/18/14 01:14:15 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
12/18/14 01:14:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 01:15:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
[157 lines snipped]
12/18/14 04:25:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 04:26:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/18/14 04:27:37 v1.34.3, nfs: commencing msieve filtering
12/18/14 04:29:29 v1.34.3, nfs: commencing msieve linear algebra
12/18/14 04:40:18 v1.34.3, nfs: commencing msieve sqrt
12/18/14 04:44:35 v1.34.3, prp82 = 7834371651626842736890415694293708898746225184339782480943081625786915930240689857
12/18/14 04:44:35 v1.34.3, prp53 = 66781176851969786406620879922338455290701634556353047
12/18/14 04:44:35 v1.34.3, NFS elapsed time = 12620.1844 seconds.
12/18/14 04:44:35 v1.34.3, 
12/18/14 04:44:35 v1.34.3, 
12/18/14 04:44:35 v1.34.3, Total factoring time = 12620.1851 seconds
--
Thu Dec 18 04:27:37 2014  
Thu Dec 18 04:27:37 2014  commencing relation filtering
Thu Dec 18 04:27:37 2014  estimated available RAM is 15987.3 MB
Thu Dec 18 04:27:37 2014  commencing duplicate removal, pass 1
Thu Dec 18 04:28:04 2014  found 1596919 hash collisions in 10082094 relations
Thu Dec 18 04:28:13 2014  added 363855 free relations
Thu Dec 18 04:28:13 2014  commencing duplicate removal, pass 2
Thu Dec 18 04:28:21 2014  found 1246126 duplicates and 9199823 unique relations
Thu Dec 18 04:28:21 2014  memory use: 41.3 MB
Thu Dec 18 04:28:21 2014  reading ideals above 100000
Thu Dec 18 04:28:21 2014  commencing singleton removal, initial pass
Thu Dec 18 04:29:03 2014  memory use: 188.2 MB
Thu Dec 18 04:29:03 2014  reading all ideals from disk
Thu Dec 18 04:29:03 2014  memory use: 316.6 MB
Thu Dec 18 04:29:03 2014  keeping 10101261 ideals with weight <= 200, target excess is 45576
Thu Dec 18 04:29:03 2014  commencing in-memory singleton removal
Thu Dec 18 04:29:04 2014  begin with 9199823 relations and 10101261 unique ideals
Thu Dec 18 04:29:07 2014  reduce to 3746784 relations and 3399064 ideals in 16 passes
Thu Dec 18 04:29:07 2014  max relations containing the same ideal: 111
Thu Dec 18 04:29:08 2014  removing 803198 relations and 655772 ideals in 147426 cliques
Thu Dec 18 04:29:08 2014  commencing in-memory singleton removal
Thu Dec 18 04:29:08 2014  begin with 2943586 relations and 3399064 unique ideals
Thu Dec 18 04:29:09 2014  reduce to 2800273 relations and 2592738 ideals in 11 passes
Thu Dec 18 04:29:09 2014  max relations containing the same ideal: 89
Thu Dec 18 04:29:10 2014  removing 631341 relations and 483915 ideals in 147426 cliques
Thu Dec 18 04:29:10 2014  commencing in-memory singleton removal
Thu Dec 18 04:29:10 2014  begin with 2168932 relations and 2592738 unique ideals
Thu Dec 18 04:29:11 2014  reduce to 2057047 relations and 1990830 ideals in 9 passes
Thu Dec 18 04:29:11 2014  max relations containing the same ideal: 72
Thu Dec 18 04:29:11 2014  removing 94350 relations and 81002 ideals in 13348 cliques
Thu Dec 18 04:29:11 2014  commencing in-memory singleton removal
Thu Dec 18 04:29:11 2014  begin with 1962697 relations and 1990830 unique ideals
Thu Dec 18 04:29:12 2014  reduce to 1960141 relations and 1907246 ideals in 6 passes
Thu Dec 18 04:29:12 2014  max relations containing the same ideal: 70
Thu Dec 18 04:29:12 2014  relations with 0 large ideals: 1031
Thu Dec 18 04:29:12 2014  relations with 1 large ideals: 490
Thu Dec 18 04:29:12 2014  relations with 2 large ideals: 7550
Thu Dec 18 04:29:12 2014  relations with 3 large ideals: 55567
Thu Dec 18 04:29:12 2014  relations with 4 large ideals: 211522
Thu Dec 18 04:29:12 2014  relations with 5 large ideals: 456913
Thu Dec 18 04:29:12 2014  relations with 6 large ideals: 590600
Thu Dec 18 04:29:12 2014  relations with 7+ large ideals: 636468
Thu Dec 18 04:29:12 2014  commencing 2-way merge
Thu Dec 18 04:29:13 2014  reduce to 1173114 relation sets and 1120219 unique ideals
Thu Dec 18 04:29:13 2014  commencing full merge
Thu Dec 18 04:29:24 2014  memory use: 143.6 MB
Thu Dec 18 04:29:24 2014  found 597180 cycles, need 590419
Thu Dec 18 04:29:24 2014  weight of 590419 cycles is about 41522331 (70.33/cycle)
Thu Dec 18 04:29:24 2014  distribution of cycle lengths:
Thu Dec 18 04:29:24 2014  1 relations: 62077
Thu Dec 18 04:29:24 2014  2 relations: 62246
Thu Dec 18 04:29:24 2014  3 relations: 61522
Thu Dec 18 04:29:24 2014  4 relations: 57423
Thu Dec 18 04:29:24 2014  5 relations: 52949
Thu Dec 18 04:29:24 2014  6 relations: 49212
Thu Dec 18 04:29:24 2014  7 relations: 43455
Thu Dec 18 04:29:24 2014  8 relations: 38314
Thu Dec 18 04:29:24 2014  9 relations: 33496
Thu Dec 18 04:29:24 2014  10+ relations: 129725
Thu Dec 18 04:29:24 2014  heaviest cycle: 22 relations
Thu Dec 18 04:29:24 2014  commencing cycle optimization
Thu Dec 18 04:29:25 2014  start with 3728669 relations
Thu Dec 18 04:29:28 2014  pruned 96759 relations
Thu Dec 18 04:29:28 2014  memory use: 118.3 MB
Thu Dec 18 04:29:28 2014  distribution of cycle lengths:
Thu Dec 18 04:29:28 2014  1 relations: 62077
Thu Dec 18 04:29:28 2014  2 relations: 63380
Thu Dec 18 04:29:28 2014  3 relations: 63455
Thu Dec 18 04:29:28 2014  4 relations: 58828
Thu Dec 18 04:29:28 2014  5 relations: 54621
Thu Dec 18 04:29:28 2014  6 relations: 50241
Thu Dec 18 04:29:28 2014  7 relations: 44431
Thu Dec 18 04:29:28 2014  8 relations: 38823
Thu Dec 18 04:29:28 2014  9 relations: 33590
Thu Dec 18 04:29:28 2014  10+ relations: 120973
Thu Dec 18 04:29:28 2014  heaviest cycle: 22 relations
Thu Dec 18 04:29:29 2014  RelProcTime: 112
Thu Dec 18 04:29:29 2014  
Thu Dec 18 04:29:29 2014  commencing linear algebra
Thu Dec 18 04:29:29 2014  read 590419 cycles
Thu Dec 18 04:29:29 2014  cycles contain 1922594 unique relations
Thu Dec 18 04:29:40 2014  read 1922594 relations
Thu Dec 18 04:29:41 2014  using 20 quadratic characters above 134216778
Thu Dec 18 04:29:47 2014  building initial matrix
Thu Dec 18 04:30:01 2014  memory use: 231.4 MB
Thu Dec 18 04:30:01 2014  read 590419 cycles
Thu Dec 18 04:30:01 2014  matrix is 590242 x 590419 (176.6 MB) with weight 53549857 (90.70/col)
Thu Dec 18 04:30:01 2014  sparse part has weight 39809926 (67.43/col)
Thu Dec 18 04:30:03 2014  filtering completed in 2 passes
Thu Dec 18 04:30:03 2014  matrix is 590044 x 590221 (176.6 MB) with weight 53542420 (90.72/col)
Thu Dec 18 04:30:03 2014  sparse part has weight 39807334 (67.44/col)
Thu Dec 18 04:30:05 2014  matrix starts at (0, 0)
Thu Dec 18 04:30:05 2014  matrix is 590044 x 590221 (176.6 MB) with weight 53542420 (90.72/col)
Thu Dec 18 04:30:05 2014  sparse part has weight 39807334 (67.44/col)
Thu Dec 18 04:30:05 2014  saving the first 48 matrix rows for later
Thu Dec 18 04:30:05 2014  matrix includes 64 packed rows
Thu Dec 18 04:30:05 2014  matrix is 589996 x 590221 (168.0 MB) with weight 42351629 (71.76/col)
Thu Dec 18 04:30:05 2014  sparse part has weight 38136433 (64.61/col)
Thu Dec 18 04:30:05 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 18 04:30:06 2014  commencing Lanczos iteration (8 threads)
Thu Dec 18 04:30:06 2014  memory use: 162.5 MB
Thu Dec 18 04:30:09 2014  linear algebra at 0.5%, ETA 0h 9m
Thu Dec 18 04:40:17 2014  lanczos halted after 9334 iterations (dim = 589994)
Thu Dec 18 04:40:18 2014  recovered 39 nontrivial dependencies
Thu Dec 18 04:40:18 2014  BLanczosTime: 649
Thu Dec 18 04:40:18 2014  
Thu Dec 18 04:40:18 2014  commencing square root phase
Thu Dec 18 04:40:18 2014  reading relations for dependency 1
Thu Dec 18 04:40:18 2014  read 295098 cycles
Thu Dec 18 04:40:18 2014  cycles contain 960514 unique relations
Thu Dec 18 04:40:26 2014  read 960514 relations
Thu Dec 18 04:40:28 2014  multiplying 960514 relations
Thu Dec 18 04:40:42 2014  multiply complete, coefficients have about 23.60 million bits
Thu Dec 18 04:40:43 2014  initial square root is modulo 5993101
Thu Dec 18 04:41:01 2014  GCD is N, no factor found
Thu Dec 18 04:41:01 2014  reading relations for dependency 2
Thu Dec 18 04:41:01 2014  read 294917 cycles
Thu Dec 18 04:41:01 2014  cycles contain 960860 unique relations
Thu Dec 18 04:41:09 2014  read 960860 relations
Thu Dec 18 04:41:11 2014  multiplying 960860 relations
Thu Dec 18 04:41:25 2014  multiply complete, coefficients have about 23.61 million bits
Thu Dec 18 04:41:26 2014  initial square root is modulo 6021571
Thu Dec 18 04:41:44 2014  GCD is 1, no factor found
Thu Dec 18 04:41:44 2014  reading relations for dependency 3
Thu Dec 18 04:41:44 2014  read 295467 cycles
Thu Dec 18 04:41:44 2014  cycles contain 960878 unique relations
Thu Dec 18 04:41:52 2014  read 960878 relations
Thu Dec 18 04:41:54 2014  multiplying 960878 relations
Thu Dec 18 04:42:08 2014  multiply complete, coefficients have about 23.61 million bits
Thu Dec 18 04:42:09 2014  initial square root is modulo 6020741
Thu Dec 18 04:42:27 2014  GCD is N, no factor found
Thu Dec 18 04:42:27 2014  reading relations for dependency 4
Thu Dec 18 04:42:27 2014  read 294481 cycles
Thu Dec 18 04:42:27 2014  cycles contain 959894 unique relations
Thu Dec 18 04:42:35 2014  read 959894 relations
Thu Dec 18 04:42:37 2014  multiplying 959894 relations
Thu Dec 18 04:42:51 2014  multiply complete, coefficients have about 23.58 million bits
Thu Dec 18 04:42:51 2014  initial square root is modulo 5931491
Thu Dec 18 04:43:10 2014  GCD is N, no factor found
Thu Dec 18 04:43:10 2014  reading relations for dependency 5
Thu Dec 18 04:43:10 2014  read 294562 cycles
Thu Dec 18 04:43:10 2014  cycles contain 960040 unique relations
Thu Dec 18 04:43:18 2014  read 960040 relations
Thu Dec 18 04:43:20 2014  multiplying 960040 relations
Thu Dec 18 04:43:34 2014  multiply complete, coefficients have about 23.59 million bits
Thu Dec 18 04:43:34 2014  initial square root is modulo 5944361
Thu Dec 18 04:43:52 2014  GCD is N, no factor found
Thu Dec 18 04:43:52 2014  reading relations for dependency 6
Thu Dec 18 04:43:53 2014  read 294946 cycles
Thu Dec 18 04:43:53 2014  cycles contain 961228 unique relations
Thu Dec 18 04:44:01 2014  read 961228 relations
Thu Dec 18 04:44:03 2014  multiplying 961228 relations
Thu Dec 18 04:44:17 2014  multiply complete, coefficients have about 23.62 million bits
Thu Dec 18 04:44:17 2014  initial square root is modulo 6064661
Thu Dec 18 04:44:35 2014  sqrtTime: 257
--
n: 523188558791350813803207396221102955182302002592603790220367860816420392215533517712219809351727147734345856657413940239373583323944279
m: 100000000000000000000000000000000
deg: 5
c5: 10
c0: 539
skew: 2.22
# Murphy_E = 5.278e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:56 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 56 秒 (日本時間)

10162+5399

c157

name 名前Jo Yeong Uk
date 日付January 1, 2015 22:12:05 UTC 2015 年 1 月 2 日 (金) 7 時 12 分 5 秒 (日本時間)
composite number 合成数
3506963075185781368907966768017899539535748228106906262383963359249790458956257649563207748985610930502512739043370612350822558189284825020077363605438598337<157>
prime factors 素因数
5851538308133859544780839469738566277939<40>
599323270311837498572428417581268786380412386530936128651576376328394587879114009426202495552040228727534218925594683<117>
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 3506963075185781368907966768017899539535748228106906262383963359249790458956257649563207748985610930502512739043370612350822558189284825020077363605438598337 (157 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=391833618
Step 1 took 8122ms
Step 2 took 2919ms
********** Factor found in step 2: 5851538308133859544780839469738566277939
Found probable prime factor of 40 digits: 5851538308133859544780839469738566277939
Probable prime cofactor 599323270311837498572428417581268786380412386530936128651576376328394587879114009426202495552040228727534218925594683 has 117 digits
execution environment 実行環境
GGNFS / Msieve v1.39

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:56 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 56 秒 (日本時間)

10164+5399

c129

name 名前Robert Backstrom
date 日付January 6, 2015 15:31:06 UTC 2015 年 1 月 7 日 (水) 0 時 31 分 6 秒 (日本時間)
composite number 合成数
513467491776591772194855435870121583435635134358317447768829091755996982372155135102245109577295750261009207116741364035502190319<129>
prime factors 素因数
163711205236209308600438653679489619276642919729<48>
3136422403315274631500197339068466751120377078378301783667634579286288203671047711<82>
factorization results 素因数分解の結果
Number: n
N=513467491776591772194855435870121583435635134358317447768829091755996982372155135102245109577295750261009207116741364035502190319
  ( 129 digits)
SNFS difficulty: 164 digits.
Divisors found:

Wed Jan  7 02:24:36 2015  prp48 factor: 163711205236209308600438653679489619276642919729
Wed Jan  7 02:24:36 2015  prp82 factor: 3136422403315274631500197339068466751120377078378301783667634579286288203671047711
Wed Jan  7 02:24:36 2015  elapsed time 00:24:41 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
#
#  N = 10^164+539 1(162)71
#
n: 513467491776591772194855435870121583435635134358317447768829091755996982372155135102245109577295750261009207116741364035502190319
m: 500000000000000000000000000000000
deg: 5
c5: 16
c0: 2695
skew: 2.79
# Murphy_E = 3.286e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 5150000)
Primes: RFBsize:276611, AFBsize:275760,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2027965 hash collisions in 14170229 relations (12862620 unique)
Msieve: matrix is 516075 x 516305 (144.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 18min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
Memory: 6059548k/6815744k available (3972k kernel code, 525892k absent, 230304k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6207.25 BogoMIPS (lpj=3103626)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102997)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102995)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102995)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Total of 8 processors activated (49649.19 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:57 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 57 秒 (日本時間)

10167+5399

c139

name 名前Serge Batalov
date 日付December 11, 2014 01:33:05 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 5 秒 (日本時間)
composite number 合成数
2725739958922039881598046238004320586052368012186175062127181167682444447290134398812093926498840133026214883632023090076792002697686837463<139>
prime factors 素因数
264657477763789044965535730550345050013<39>
composite cofactor 合成数の残り
10299123160823007613764154467358782747617436228592261981331811026857475158300938804233878939531483651<101>
factorization results 素因数分解の結果
Input number is 2725739958922039881598046238004320586052368012186175062127181167682444447290134398812093926498840133026214883632023090076792002697686837463 (139 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2166654771
Step 1 took 9148ms
Step 2 took 7125ms
********** Factor found in step 2: 264657477763789044965535730550345050013
Found probable prime factor of 39 digits: 264657477763789044965535730550345050013
Composite cofactor 10299123160823007613764154467358782747617436228592261981331811026857475158300938804233878939531483651 has 101 digits

c101

name 名前Cyp
date 日付December 11, 2014 17:02:44 UTC 2014 年 12 月 12 日 (金) 2 時 2 分 44 秒 (日本時間)
composite number 合成数
10299123160823007613764154467358782747617436228592261981331811026857475158300938804233878939531483651<101>
prime factors 素因数
1132670495669446470643249317794309489941<40>
9092779586119508137712605006812160359263715806202080922032311<61>
factorization results 素因数分解の結果
12/11/14 17:26:32 v1.34.3, 
12/11/14 17:26:32 v1.34.3, ****************************
12/11/14 17:26:32 v1.34.3, Starting factorization of 10299123160823007613764154467358782747617436228592261981331811026857475158300938804233878939531483651
12/11/14 17:26:32 v1.34.3, using pretesting plan: none
12/11/14 17:26:32 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/11/14 17:26:32 v1.34.3, ****************************
12/11/14 17:26:32 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C101
12/11/14 17:26:32 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C101
12/11/14 17:26:32 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C101
12/11/14 17:26:32 v1.34.3, final ECM pretested depth: 0.00
12/11/14 17:26:32 v1.34.3, scheduler: switching to sieve method
12/11/14 17:26:32 v1.34.3, nfs: commencing nfs on c101: 10299123160823007613764154467358782747617436228592261981331811026857475158300938804233878939531483651
12/11/14 17:26:32 v1.34.3, nfs: commencing poly selection with 8 threads
12/11/14 17:26:32 v1.34.3, nfs: setting deadline of 164 seconds
12/11/14 17:29:51 v1.34.3, nfs: completed 33 ranges of size 250 in 198.8763 seconds
12/11/14 17:29:51 v1.34.3, nfs: best poly = # norm 9.662337e-14 alpha -4.759864 e 1.079e-08 rroots 4
12/11/14 17:29:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 17:31:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[11 lines snipped]
12/11/14 17:49:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 17:50:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 17:52:18 v1.34.3, nfs: commencing msieve filtering
12/11/14 17:53:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 17:54:33 v1.34.3, nfs: commencing msieve filtering
12/11/14 17:55:31 v1.34.3, nfs: commencing msieve linear algebra
12/11/14 17:59:13 v1.34.3, nfs: commencing msieve sqrt
12/11/14 18:02:43 v1.34.3, prp61 = 9092779586119508137712605006812160359263715806202080922032311
12/11/14 18:02:43 v1.34.3, prp40 = 1132670495669446470643249317794309489941
12/11/14 18:02:43 v1.34.3, NFS elapsed time = 2171.1003 seconds.
12/11/14 18:02:43 v1.34.3, 
12/11/14 18:02:43 v1.34.3, 
12/11/14 18:02:43 v1.34.3, Total factoring time = 2171.1232 seconds
--
Thu Dec 11 17:52:18 2014  
Thu Dec 11 17:52:18 2014  commencing relation filtering
Thu Dec 11 17:52:18 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 17:52:18 2014  commencing duplicate removal, pass 1
Thu Dec 11 17:52:32 2014  found 409589 hash collisions in 4482279 relations
Thu Dec 11 17:52:35 2014  added 155104 free relations
Thu Dec 11 17:52:35 2014  commencing duplicate removal, pass 2
Thu Dec 11 17:52:39 2014  found 176465 duplicates and 4460918 unique relations
Thu Dec 11 17:52:39 2014  memory use: 19.6 MB
Thu Dec 11 17:52:39 2014  reading ideals above 100000
Thu Dec 11 17:52:39 2014  commencing singleton removal, initial pass
Thu Dec 11 17:52:58 2014  memory use: 172.2 MB
Thu Dec 11 17:52:58 2014  reading all ideals from disk
Thu Dec 11 17:52:58 2014  memory use: 139.4 MB
Thu Dec 11 17:52:58 2014  keeping 5284525 ideals with weight <= 200, target excess is 39946
Thu Dec 11 17:52:59 2014  commencing in-memory singleton removal
Thu Dec 11 17:52:59 2014  begin with 4460918 relations and 5284525 unique ideals
Thu Dec 11 17:53:00 2014  reduce to 1069599 relations and 1087343 ideals in 27 passes
Thu Dec 11 17:53:00 2014  max relations containing the same ideal: 75
Thu Dec 11 17:54:33 2014  
Thu Dec 11 17:54:33 2014  commencing relation filtering
Thu Dec 11 17:54:33 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 17:54:33 2014  commencing duplicate removal, pass 1
Thu Dec 11 17:54:49 2014  found 478111 hash collisions in 4936877 relations
Thu Dec 11 17:54:52 2014  added 1362 free relations
Thu Dec 11 17:54:52 2014  commencing duplicate removal, pass 2
Thu Dec 11 17:54:56 2014  found 198397 duplicates and 4739842 unique relations
Thu Dec 11 17:54:56 2014  memory use: 20.6 MB
Thu Dec 11 17:54:56 2014  reading ideals above 100000
Thu Dec 11 17:54:56 2014  commencing singleton removal, initial pass
Thu Dec 11 17:55:17 2014  memory use: 172.2 MB
Thu Dec 11 17:55:17 2014  reading all ideals from disk
Thu Dec 11 17:55:17 2014  memory use: 148.2 MB
Thu Dec 11 17:55:17 2014  keeping 5417961 ideals with weight <= 200, target excess is 42360
Thu Dec 11 17:55:18 2014  commencing in-memory singleton removal
Thu Dec 11 17:55:18 2014  begin with 4739842 relations and 5417961 unique ideals
Thu Dec 11 17:55:20 2014  reduce to 1429860 relations and 1371236 ideals in 20 passes
Thu Dec 11 17:55:20 2014  max relations containing the same ideal: 86
Thu Dec 11 17:55:21 2014  relations with 0 large ideals: 557
Thu Dec 11 17:55:21 2014  relations with 1 large ideals: 4329
Thu Dec 11 17:55:21 2014  relations with 2 large ideals: 31329
Thu Dec 11 17:55:21 2014  relations with 3 large ideals: 135276
Thu Dec 11 17:55:21 2014  relations with 4 large ideals: 327285
Thu Dec 11 17:55:21 2014  relations with 5 large ideals: 452000
Thu Dec 11 17:55:21 2014  relations with 6 large ideals: 319729
Thu Dec 11 17:55:21 2014  relations with 7+ large ideals: 159355
Thu Dec 11 17:55:21 2014  commencing 2-way merge
Thu Dec 11 17:55:21 2014  reduce to 765189 relation sets and 707003 unique ideals
Thu Dec 11 17:55:21 2014  ignored 439 oversize relation sets
Thu Dec 11 17:55:21 2014  commencing full merge
Thu Dec 11 17:55:28 2014  memory use: 64.5 MB
Thu Dec 11 17:55:28 2014  found 325957 cycles, need 321203
Thu Dec 11 17:55:28 2014  weight of 321203 cycles is about 22533524 (70.15/cycle)
Thu Dec 11 17:55:28 2014  distribution of cycle lengths:
Thu Dec 11 17:55:28 2014  1 relations: 37297
Thu Dec 11 17:55:28 2014  2 relations: 35881
Thu Dec 11 17:55:28 2014  3 relations: 34701
Thu Dec 11 17:55:28 2014  4 relations: 31044
Thu Dec 11 17:55:28 2014  5 relations: 27504
Thu Dec 11 17:55:28 2014  6 relations: 23109
Thu Dec 11 17:55:28 2014  7 relations: 20426
Thu Dec 11 17:55:28 2014  8 relations: 17577
Thu Dec 11 17:55:28 2014  9 relations: 14847
Thu Dec 11 17:55:28 2014  10+ relations: 78817
Thu Dec 11 17:55:28 2014  heaviest cycle: 28 relations
Thu Dec 11 17:55:28 2014  commencing cycle optimization
Thu Dec 11 17:55:29 2014  start with 2170976 relations
Thu Dec 11 17:55:31 2014  pruned 48602 relations
Thu Dec 11 17:55:31 2014  memory use: 72.1 MB
Thu Dec 11 17:55:31 2014  distribution of cycle lengths:
Thu Dec 11 17:55:31 2014  1 relations: 37297
Thu Dec 11 17:55:31 2014  2 relations: 36646
Thu Dec 11 17:55:31 2014  3 relations: 35896
Thu Dec 11 17:55:31 2014  4 relations: 31580
Thu Dec 11 17:55:31 2014  5 relations: 28064
Thu Dec 11 17:55:31 2014  6 relations: 23324
Thu Dec 11 17:55:31 2014  7 relations: 20716
Thu Dec 11 17:55:31 2014  8 relations: 17532
Thu Dec 11 17:55:31 2014  9 relations: 14754
Thu Dec 11 17:55:31 2014  10+ relations: 75394
Thu Dec 11 17:55:31 2014  heaviest cycle: 28 relations
Thu Dec 11 17:55:31 2014  RelProcTime: 58
Thu Dec 11 17:55:31 2014  
Thu Dec 11 17:55:31 2014  commencing linear algebra
Thu Dec 11 17:55:31 2014  read 321203 cycles
Thu Dec 11 17:55:32 2014  cycles contain 1213147 unique relations
Thu Dec 11 17:55:37 2014  read 1213147 relations
Thu Dec 11 17:55:38 2014  using 20 quadratic characters above 67108670
Thu Dec 11 17:55:42 2014  building initial matrix
Thu Dec 11 17:55:49 2014  memory use: 148.9 MB
Thu Dec 11 17:55:49 2014  read 321203 cycles
Thu Dec 11 17:55:49 2014  matrix is 320950 x 321203 (95.8 MB) with weight 30496400 (94.94/col)
Thu Dec 11 17:55:49 2014  sparse part has weight 21572485 (67.16/col)
Thu Dec 11 17:55:51 2014  filtering completed in 3 passes
Thu Dec 11 17:55:51 2014  matrix is 318308 x 318508 (95.2 MB) with weight 30296567 (95.12/col)
Thu Dec 11 17:55:51 2014  sparse part has weight 21462347 (67.38/col)
Thu Dec 11 17:55:52 2014  matrix starts at (0, 0)
Thu Dec 11 17:55:52 2014  matrix is 318308 x 318508 (95.2 MB) with weight 30296567 (95.12/col)
Thu Dec 11 17:55:52 2014  sparse part has weight 21462347 (67.38/col)
Thu Dec 11 17:55:52 2014  saving the first 48 matrix rows for later
Thu Dec 11 17:55:52 2014  matrix includes 64 packed rows
Thu Dec 11 17:55:52 2014  matrix is 318260 x 318508 (91.5 MB) with weight 23975183 (75.27/col)
Thu Dec 11 17:55:52 2014  sparse part has weight 20803103 (65.31/col)
Thu Dec 11 17:55:52 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 11 17:55:53 2014  commencing Lanczos iteration (8 threads)
Thu Dec 11 17:55:53 2014  memory use: 86.5 MB
Thu Dec 11 17:56:00 2014  linear algebra at 3.8%, ETA 0h 2m
Thu Dec 11 17:59:13 2014  lanczos halted after 5034 iterations (dim = 318259)
Thu Dec 11 17:59:13 2014  recovered 34 nontrivial dependencies
Thu Dec 11 17:59:13 2014  BLanczosTime: 222
Thu Dec 11 17:59:13 2014  
Thu Dec 11 17:59:13 2014  commencing square root phase
Thu Dec 11 17:59:13 2014  reading relations for dependency 1
Thu Dec 11 17:59:13 2014  read 159067 cycles
Thu Dec 11 17:59:13 2014  cycles contain 604690 unique relations
Thu Dec 11 17:59:18 2014  read 604690 relations
Thu Dec 11 17:59:19 2014  multiplying 604690 relations
Thu Dec 11 17:59:31 2014  multiply complete, coefficients have about 25.97 million bits
Thu Dec 11 17:59:31 2014  initial square root is modulo 28817959
Thu Dec 11 17:59:47 2014  GCD is N, no factor found
Thu Dec 11 17:59:47 2014  reading relations for dependency 2
Thu Dec 11 17:59:47 2014  read 159202 cycles
Thu Dec 11 17:59:47 2014  cycles contain 604470 unique relations
Thu Dec 11 17:59:52 2014  read 604470 relations
Thu Dec 11 17:59:53 2014  multiplying 604470 relations
Thu Dec 11 18:00:06 2014  multiply complete, coefficients have about 25.97 million bits
Thu Dec 11 18:00:06 2014  initial square root is modulo 28652683
Thu Dec 11 18:00:23 2014  GCD is N, no factor found
Thu Dec 11 18:00:23 2014  reading relations for dependency 3
Thu Dec 11 18:00:23 2014  read 158793 cycles
Thu Dec 11 18:00:23 2014  cycles contain 603318 unique relations
Thu Dec 11 18:00:28 2014  read 603318 relations
Thu Dec 11 18:00:29 2014  multiplying 603318 relations
Thu Dec 11 18:00:40 2014  multiply complete, coefficients have about 25.92 million bits
Thu Dec 11 18:00:40 2014  initial square root is modulo 27730993
Thu Dec 11 18:00:57 2014  GCD is N, no factor found
Thu Dec 11 18:00:57 2014  reading relations for dependency 4
Thu Dec 11 18:00:57 2014  read 159069 cycles
Thu Dec 11 18:00:57 2014  cycles contain 604842 unique relations
Thu Dec 11 18:01:01 2014  read 604842 relations
Thu Dec 11 18:01:03 2014  multiplying 604842 relations
Thu Dec 11 18:01:15 2014  multiply complete, coefficients have about 25.98 million bits
Thu Dec 11 18:01:15 2014  initial square root is modulo 28919731
Thu Dec 11 18:01:31 2014  GCD is 1, no factor found
Thu Dec 11 18:01:31 2014  reading relations for dependency 5
Thu Dec 11 18:01:31 2014  read 159596 cycles
Thu Dec 11 18:01:31 2014  cycles contain 604734 unique relations
Thu Dec 11 18:01:36 2014  read 604734 relations
Thu Dec 11 18:01:37 2014  multiplying 604734 relations
Thu Dec 11 18:01:49 2014  multiply complete, coefficients have about 25.98 million bits
Thu Dec 11 18:01:49 2014  initial square root is modulo 28860103
Thu Dec 11 18:02:07 2014  GCD is N, no factor found
Thu Dec 11 18:02:07 2014  reading relations for dependency 6
Thu Dec 11 18:02:07 2014  read 159782 cycles
Thu Dec 11 18:02:08 2014  cycles contain 606592 unique relations
Thu Dec 11 18:02:12 2014  read 606592 relations
Thu Dec 11 18:02:13 2014  multiplying 606592 relations
Thu Dec 11 18:02:25 2014  multiply complete, coefficients have about 26.06 million bits
Thu Dec 11 18:02:25 2014  initial square root is modulo 30438803
Thu Dec 11 18:02:43 2014  sqrtTime: 210
--
n: 10299123160823007613764154467358782747617436228592261981331811026857475158300938804233878939531483651
skew: 968518.05
c0: 2453482011553045343036186631
c1: -4968622222408642548832
c2: -12263468961268105
c3: 12451837400
c4: 7920
Y0: -1067870551803031056569170
Y1: 983313770393
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:57 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 57 秒 (日本時間)

10168+5399

c157

name 名前Robert Backstrom
date 日付January 6, 2015 00:50:20 UTC 2015 年 1 月 6 日 (火) 9 時 50 分 20 秒 (日本時間)
composite number 合成数
9251424914417538941032365320722264636966361742252105313488085725948318779747360615795267969614439534289804644723637681237117376409143553962317454309275716119<157>
prime factors 素因数
524618377627871196784927995754022797751721492676361284196141<60>
17634580313882702386834042963099296068081116595247036065512718701194671116626039927749789006491859<98>
factorization results 素因数分解の結果
Number: n
N=9251424914417538941032365320722264636966361742252105313488085725948318779747360615795267969614439534289804644723637681237117376409143553962317454309275716119
  ( 157 digits)
SNFS difficulty: 168 digits.
Divisors found:

Tue Jan  6 11:46:49 2015  prp60 factor: 524618377627871196784927995754022797751721492676361284196141
Tue Jan  6 11:46:49 2015  prp98 factor: 17634580313882702386834042963099296068081116595247036065512718701194671116626039927749789006491859
Tue Jan  6 11:46:49 2015  elapsed time 00:48:26 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.267).
Factorization parameters were as follows:
#
#  N = 10^168+539 1(166)71
#
n: 9251424914417538941032365320722264636966361742252105313488085725948318779747360615795267969614439534289804644723637681237117376409143553962317454309275716119
m: 1000000000000000000000000000000000
deg: 5
c5: 1000
c0: 539
skew: 0.88
# Murphy_E = 2.128e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 5400000)
Primes: RFBsize:309335, AFBsize:308754,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2013016 hash collisions in 13897750 relations (12579108 unique)
Msieve: matrix is 676363 x 676588 (189.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0hrs 31min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 14sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:58 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 58 秒 (日本時間)

10171+5399

c145

name 名前Cyp
date 日付December 8, 2014 12:58:16 UTC 2014 年 12 月 8 日 (月) 21 時 58 分 16 秒 (日本時間)
composite number 合成数
3667691098453792682901434112158598324658508436828375381454832838391574352024743559844089670079908368524999342416473806183711239759935173076674699<145>
prime factors 素因数
6480403284381536046070741346547643<34>
565966489661734463473146841255074069975142354049068688296564167271979339211053710733047523867016878065574657393<111>
factorization results 素因数分解の結果
Run 234 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1708032271
Step 1 took 11429ms
Step 2 took 4366ms
********** Factor found in step 2: 6480403284381536046070741346547643
Found probable prime factor of 34 digits: 6480403284381536046070741346547643
Probable prime cofactor 565966489661734463473146841255074069975142354049068688296564167271979339211053710733047523867016878065574657393 has 111 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 248Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6234 / 2318CypDecember 8, 2014 12:58:16 UTC 2014 年 12 月 8 日 (月) 21 時 58 分 16 秒 (日本時間)

10175+5399

c137

name 名前Pierre Jammes
date 日付March 3, 2015 06:50:03 UTC 2015 年 3 月 3 日 (火) 15 時 50 分 3 秒 (日本時間)
composite number 合成数
13007831746358425368800267756383759555631175555027846009395044284993824063828414920582085836585388998692282875131642097852392560142855423<137>
prime factors 素因数
479267802719033223783881258620516743619547<42>
27141050728968244284994489568873480039785978500480846404323953156186710976074587900960686798509<95>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=1504026856
Step 1 took 74408ms
Step 2 took 59564ms
********** Factor found in step 2: 479267802719033223783881258620516743619547
Found probable prime factor of 42 digits: 479267802719033223783881258620516743619547
Probable prime cofactor 27141050728968244284994489568873480039785978500480846404323953156186710976074587900960686798509 has 95 digits
software ソフトウェア
(GMP-ECM 6.4.4
execution environment 実行環境
debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380 / 2318280CypDecember 10, 2014 12:22:01 UTC 2014 年 12 月 10 日 (水) 21 時 22 分 1 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:36:30 UTC 2015 年 2 月 16 日 (月) 23 時 36 分 30 秒 (日本時間)

10176+5399

c164

name 名前Alfred Reich
date 日付February 15, 2015 11:33:16 UTC 2015 年 2 月 15 日 (日) 20 時 33 分 16 秒 (日本時間)
composite number 合成数
94039396733684532142340463465842280239302789422378005853343329048974900388029554558293183328495815157216872208428606687171785991552402941192412094218160733065060417<164>
prime factors 素因数
467619300674393242821591243120251<33>
composite cofactor 合成数の残り
201102470745032090756656295949413942078642054264075135227564964507399993849594432000881006738201620576667499811080327433168018103667<132>
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 94039396733684532142340463465842280239302789422378005853343329048974900388029554558293183328495815157216872208428606687171785991552402941192412094218160733065060417 (164 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=179118529
Step 1 took 10499ms
Step 2 took 7145ms
********** Factor found in step 2: 467619300674393242821591243120251
Found probable prime factor of 33 digits: 467619300674393242821591243120251
Composite cofactor 201102470745032090756656295949413942078642054264075135227564964507399993849594432000881006738201620576667499811080327433168018103667 has 132 digits

c132

name 名前Jo Yeong Uk
date 日付June 1, 2015 14:38:14 UTC 2015 年 6 月 1 日 (月) 23 時 38 分 14 秒 (日本時間)
composite number 合成数
201102470745032090756656295949413942078642054264075135227564964507399993849594432000881006738201620576667499811080327433168018103667<132>
prime factors 素因数
24527506497550097517882194425765816062523<41>
8199058912291756421995443571043083918721178634830526759644189540112751472949451444321023529<91>
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 201102470745032090756656295949413942078642054264075135227564964507399993849594432000881006738201620576667499811080327433168018103667 (132 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=508650880
Step 1 took 19564ms
Step 2 took 7780ms
********** Factor found in step 2: 24527506497550097517882194425765816062523
Found probable prime factor of 41 digits: 24527506497550097517882194425765816062523
Probable prime cofactor 8199058912291756421995443571043083918721178634830526759644189540112751472949451444321023529 has 91 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 10, 2014 11:59:07 UTC 2014 年 12 月 10 日 (水) 20 時 59 分 7 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:36:52 UTC 2015 年 2 月 16 日 (月) 23 時 36 分 52 秒 (日本時間)
4511e6880 / 4131Pierre JammesMarch 4, 2015 06:39:36 UTC 2015 年 3 月 4 日 (水) 15 時 39 分 36 秒 (日本時間)
5043e674 / 7341Pierre JammesApril 13, 2015 14:08:20 UTC 2015 年 4 月 13 日 (月) 23 時 8 分 20 秒 (日本時間)

10178+5399

c157

name 名前KTakahashi
date 日付May 3, 2015 09:31:10 UTC 2015 年 5 月 3 日 (日) 18 時 31 分 10 秒 (日本時間)
composite number 合成数
1483896291864509705050849075123589006762529546324835749503909519424980354511875217782772391321311251991540938986174436349238736222796421824915290142961598947<157>
prime factors 素因数
19751879922599589915959528989004114231074379723<47>
composite cofactor 合成数の残り
75126838441675314387996200049756253732867615450730232212404170420322264197129083158999542000382952054845033289<110>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 1483896291864509705050849075123589006762529546324835749503909519424980354511875217782772391321311251991540938986174436349238736222796421824915290142961598947 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1623848978
Step 1 took 42932ms
Step 2 took 17238ms
********** Factor found in step 2: 19751879922599589915959528989004114231074379723
Found probable prime factor of 47 digits: 19751879922599589915959528989004114231074379723
Composite cofactor 75126838441675314387996200049756253732867615450730232212404170420322264197129083158999542000382952054845033289 has 110 digits

c110

name 名前KTakahashi
date 日付May 4, 2015 11:35:57 UTC 2015 年 5 月 4 日 (月) 20 時 35 分 57 秒 (日本時間)
composite number 合成数
75126838441675314387996200049756253732867615450730232212404170420322264197129083158999542000382952054845033289<110>
prime factors 素因数
33435026065812290800873167132840859245636664069<47>
2246950198088626416390642289304401029388206097339229713918667381<64>
factorization results 素因数分解の結果
Number: 11171_178
N=75126838441675314387996200049756253732867615450730232212404170420322264197129083158999542000382952054845033289
  ( 110 digits)
Divisors found:
 r1=33435026065812290800873167132840859245636664069 (pp47)
 r2=2246950198088626416390642289304401029388206097339229713918667381 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 21.92 hours.
Scaled time: 36.78 units (timescale=1.678).
Factorization parameters were as follows:
name: 11171_178
n: 75126838441675314387996200049756253732867615450730232212404170420322264197129083158999542000382952054845033289
skew: 19848.03
# norm 2.46e+015
c5: 123480
c4: 6929933475
c3: -137203168435028
c2: -1943191900028261774
c1: 35129511875353025276058
c0: -34920036787354863184296711
# alpha -6.54
Y1: 672112170529
Y0: -905390805576374904952
# Murphy_E 9.93e-010
# M 65832241385150992195087325092672439639485865863639924464753791168677319692061073250270941561251539188087818882
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 382591 x 382821
Polynomial selection time: 1.41 hours.
Total sieving time: 19.91 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 21.92 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 KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:46:58 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 58 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:37:08 UTC 2015 年 2 月 16 日 (月) 23 時 37 分 8 秒 (日本時間)
4511e6600 / 4387KTakahashiMay 3, 2015 13:03:28 UTC 2015 年 5 月 3 日 (日) 22 時 3 分 28 秒 (日本時間)

10181+5399

c148

name 名前Dmitry Domanov
date 日付December 25, 2015 22:15:31 UTC 2015 年 12 月 26 日 (土) 7 時 15 分 31 秒 (日本時間)
composite number 合成数
4742704348825202270817237628447219268443819799013033243290924148406193731711584367873885170588893740643337821825979796419022753621796137291741336939<148>
prime factors 素因数
21365908512701835036473121046157300078680418381<47>
221975318578459155718329609737972055818670383863671192815324999475375248088434920598761346439304941719<102>
factorization results 素因数分解の結果
N = 4742704348825202270817237628447219268443819799013033243290924148406193731711584367873885170588893740643337821825979796419022753621796137291741336939 (148 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=21365908512701835036473121046157300078680418381 (pp47)
r2=221975318578459155718329609737972055818670383863671192815324999475375248088434920598761346439304941719 (pp102)
Version: Msieve v. 1.52 (SVN exported)
Total time: 4.64 hours.
Factorization parameters were as follows:
n: 4742704348825202270817237628447219268443819799013033243290924148406193731711584367873885170588893740643337821825979796419022753621796137291741336939
m: 1000000000000000000000000000000000000
deg: 5
c5: 10
c0: 539
skew: 2.22
# Murphy_E = 8.507e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18652282
Relations: 2567806 relations
Pruned matrix : 1500610 x 1500836
Polynomial selection time: 0.00 hours.
Total sieving time: 2.56 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.22 hours.
time per square root: 0.66 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 4.64 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6480280CypDecember 9, 2014 08:51:23 UTC 2014 年 12 月 9 日 (火) 17 時 51 分 23 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:37:23 UTC 2015 年 2 月 16 日 (月) 23 時 37 分 23 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:37:36 UTC 2015 年 2 月 16 日 (月) 23 時 37 分 36 秒 (日本時間)
4511e6600 / 4369KTakahashiMay 14, 2015 09:01:15 UTC 2015 年 5 月 14 日 (木) 18 時 1 分 15 秒 (日本時間)

10182+5399

c126

name 名前Serge Batalov
date 日付December 9, 2014 00:58:16 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 16 秒 (日本時間)
composite number 合成数
109714725001949089887163279305655874829879300953394898113635841561833465019634982524919175633333485436968533036398595711633411<126>
prime factors 素因数
156740523763949983782195798404660473<36>
composite cofactor 合成数の残り
699976766488152208606740096887462346636206697059704462602704300740506218594582620254623707<90>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4201173729
Step 1 took 9032ms
Step 2 took 7817ms
********** Factor found in step 2: 156740523763949983782195798404660473
Found probable prime factor of 36 digits: 156740523763949983782195798404660473
Composite cofactor

c90

name 名前Serge Batalov
date 日付December 9, 2014 16:31:07 UTC 2014 年 12 月 10 日 (水) 1 時 31 分 7 秒 (日本時間)
composite number 合成数
699976766488152208606740096887462346636206697059704462602704300740506218594582620254623707<90>
prime factors 素因数
339509934980902998350337058626111606953311<42>
2061726902122982087866551391155382276660759999237<49>
factorization results 素因数分解の結果
PRP42 = 339509934980902998350337058626111606953311
PRP49 = 2061726902122982087866551391155382276660759999237
software ソフトウェア
yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:21 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 21 秒 (日本時間)

10183+5399

c177

name 名前Dmitry Domanov
date 日付December 28, 2015 16:39:49 UTC 2015 年 12 月 29 日 (火) 1 時 39 分 49 秒 (日本時間)
composite number 合成数
670559937664748194685007822081672859287691000616244582713903590915522188493057357685388029566328771514077400051364891225119711712871599171456141021437130647204335035885015064129<177>
prime factors 素因数
230721899703571733589548946616874291805272305429425687811537031098547356283<75>
2906355827194012419766140015461826281475330989532800493959690735907589836164684214289876663848802530163<103>
factorization results 素因数分解の結果
N = 670559937664748194685007822081672859287691000616244582713903590915522188493057357685388029566328771514077400051364891225119711712871599171456141021437130647204335035885015064129 (177 digits)
SNFS difficulty: 184 digits.
Divisors found:
r1=230721899703571733589548946616874291805272305429425687811537031098547356283 (pp75)
r2=2906355827194012419766140015461826281475330989532800493959690735907589836164684214289876663848802530163 (pp103)
Version: Msieve v. 1.52 (SVN exported)
Total time: 20.67 hours.
Factorization parameters were as follows:
n: 670559937664748194685007822081672859287691000616244582713903590915522188493057357685388029566328771514077400051364891225119711712871599171456141021437130647204335035885015064129
m: 1000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 539
skew: 0.88
# Murphy_E = 5.36e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19645105
Relations: 2937002 relations
Pruned matrix : 1757637 x 1757885
Polynomial selection time: 0.00 hours.
Total sieving time: 18.38 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.70 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: snfs,184,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,600000
total time: 20.67 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:46:59 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 59 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:37:58 UTC 2015 年 2 月 16 日 (月) 23 時 37 分 58 秒 (日本時間)
4511e6600 / 4387KTakahashiMay 24, 2015 06:59:38 UTC 2015 年 5 月 24 日 (日) 15 時 59 分 38 秒 (日本時間)

10185+5399

c165

name 名前Serge Batalov
date 日付December 10, 2014 20:27:01 UTC 2014 年 12 月 11 日 (木) 5 時 27 分 1 秒 (日本時間)
composite number 合成数
254240383151096577637209462963377594405096045783025744985711821009491483068301853026813580744822667636499377730681404873188691135416880974776108257707322229593797719<165>
prime factors 素因数
8924611459474189067482406224427609<34>
12538591957003076860644424485901279<35>
2271990165527887852262884546357384493528348699570152854833344508243100767914624216375745407889329<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3076920014
Step 1 took 11081ms
********** Factor found in step 1: 12538591957003076860644424485901279
Found probable prime factor of 35 digits: 12538591957003076860644424485901279
Composite cofactor 20276629467082847608293105403649268210174761133052508356549561975850018664753391943085414837061073732485573211711490130905844084361 has 131 digits
--
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=771329540
Step 1 took 11088ms
Step 2 took 8315ms
********** Factor found in step 2: 8924611459474189067482406224427609
Found probable prime factor of 34 digits: 8924611459474189067482406224427609

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:46:59 UTC 2014 年 12 月 11 日 (木) 4 時 46 分 59 秒 (日本時間)

10186+5399

c180

name 名前Dmitry Domanov
date 日付December 5, 2015 15:42:52 UTC 2015 年 12 月 6 日 (日) 0 時 42 分 52 秒 (日本時間)
composite number 合成数
498459510881620352301213100911632599451395462323688640257284861136657161043794154166548282532832281832995128555200153924296960244364790614605561512146710590918765555052111449565119<180>
prime factors 素因数
39225367492196279959669260354624076748359733<44>
12707580393753780690112424587018696960304008768612189331957531454079915128763663373726943458277952271573999788765288322484239196765550243<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4081732941
Step 1 took 87850ms
Step 2 took 26317ms
********** Factor found in step 2: 39225367492196279959669260354624076748359733
Found probable prime factor of 44 digits: 39225367492196279959669260354624076748359733

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:00 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 0 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:38:15 UTC 2015 年 2 月 16 日 (月) 23 時 38 分 15 秒 (日本時間)
4511e6800 / 4387600KTakahashiJune 4, 2015 13:44:40 UTC 2015 年 6 月 4 日 (木) 22 時 44 分 40 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:12:20 UTC 2015 年 12 月 5 日 (土) 19 時 12 分 20 秒 (日本時間)

10187+5399

c145

name 名前Cyp
date 日付December 7, 2014 13:09:59 UTC 2014 年 12 月 7 日 (日) 22 時 9 分 59 秒 (日本時間)
composite number 合成数
1753948813363239745319292527144799696809490015889463057226278847180142310271686692644258887085587086231963914905542506760759938811283811870056293<145>
prime factors 素因数
793093513448483480730647947934143<33>
134960803366217225848021771341965729<36>
16386449438031450217472899201306451624436449514128641221734471623410889037819<77>
factorization results 素因数分解の結果
Run 86 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3373805110
Step 1 took 11340ms
Step 2 took 4378ms
********** Factor found in step 2: 793093513448483480730647947934143
Found probable prime factor of 33 digits: 793093513448483480730647947934143
Composite cofactor 2211528380476623315299420146759938313439531061135331127899677900397559591204297339874020647940272493804882905051 has 112 digits
--
Run 248 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1317981461
Step 1 took 7865ms
Step 2 took 3354ms
********** Factor found in step 2: 134960803366217225848021771341965729
Found probable prime factor of 36 digits: 134960803366217225848021771341965729
Probable prime cofactor 16386449438031450217472899201306451624436449514128641221734471623410889037819 has 77 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 208Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6248 / 2318CypDecember 7, 2014 13:09:59 UTC 2014 年 12 月 7 日 (日) 22 時 9 分 59 秒 (日本時間)

10188+5399

c168

name 名前LegionMammal978
date 日付July 19, 2017 17:52:01 UTC 2017 年 7 月 20 日 (木) 2 時 52 分 1 秒 (日本時間)
composite number 合成数
775389452433800288450658931860348172023254339407533474060618138178673413565242799405575957503387105577437510392179579293024566045867311241001650426309308058269172755777<168>
prime factors 素因数
1102904433832327610986914480743628179469022147458462606026881802751262331087<76>
703043190913204017321466880875548031580312073739907296052616983503894957958961440565739717871<93>
factorization results 素因数分解の結果
Tue Jul 18 18:24:33 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jul 18 18:24:33 2017  random seeds: a5d81465 50b6c2de
Tue Jul 18 18:24:33 2017  factoring 775389452433800288450658931860348172023254339407533474060618138178673413565242799405575957503387105577437510392179579293024566045867311241001650426309308058269172755777 (168 digits)
Tue Jul 18 18:24:34 2017  no P-1/P+1/ECM available, skipping
Tue Jul 18 18:24:34 2017  commencing number field sieve (168-digit input)
Tue Jul 18 18:24:34 2017  R0: -10000000000000000000000000000000000000
Tue Jul 18 18:24:34 2017  R1: 1
Tue Jul 18 18:24:34 2017  A0: 539
Tue Jul 18 18:24:34 2017  A1: 0
Tue Jul 18 18:24:34 2017  A2: 0
Tue Jul 18 18:24:34 2017  A3: 0
Tue Jul 18 18:24:34 2017  A4: 0
Tue Jul 18 18:24:34 2017  A5: 1000
Tue Jul 18 18:24:34 2017  skew 0.88, size 2.147e-13, alpha 0.020, combined = 3.355e-11 rroots = 1
Tue Jul 18 18:24:34 2017  
Tue Jul 18 18:24:34 2017  commencing relation filtering
Tue Jul 18 18:24:34 2017  estimated available RAM is 15929.4 MB
Tue Jul 18 18:24:34 2017  commencing duplicate removal, pass 1
Tue Jul 18 18:27:19 2017  found 3639489 hash collisions in 22713940 relations
Tue Jul 18 18:27:38 2017  added 265 free relations
Tue Jul 18 18:27:38 2017  commencing duplicate removal, pass 2
Tue Jul 18 18:27:44 2017  found 3386381 duplicates and 19327824 unique relations
Tue Jul 18 18:27:44 2017  memory use: 106.6 MB
Tue Jul 18 18:27:44 2017  reading ideals above 720000
Tue Jul 18 18:27:44 2017  commencing singleton removal, initial pass
Tue Jul 18 18:29:45 2017  memory use: 689.0 MB
Tue Jul 18 18:29:45 2017  reading all ideals from disk
Tue Jul 18 18:29:45 2017  memory use: 618.5 MB
Tue Jul 18 18:29:45 2017  keeping 21473924 ideals with weight <= 200, target excess is 115978
Tue Jul 18 18:29:46 2017  commencing in-memory singleton removal
Tue Jul 18 18:29:47 2017  begin with 19327824 relations and 21473924 unique ideals
Tue Jul 18 18:29:55 2017  reduce to 7917666 relations and 7748545 ideals in 20 passes
Tue Jul 18 18:29:55 2017  max relations containing the same ideal: 108
Tue Jul 18 18:29:58 2017  removing 282358 relations and 265065 ideals in 17293 cliques
Tue Jul 18 18:29:58 2017  commencing in-memory singleton removal
Tue Jul 18 18:29:58 2017  begin with 7635308 relations and 7748545 unique ideals
Tue Jul 18 18:30:01 2017  reduce to 7626617 relations and 7474747 ideals in 9 passes
Tue Jul 18 18:30:01 2017  max relations containing the same ideal: 104
Tue Jul 18 18:30:03 2017  removing 201739 relations and 184446 ideals in 17293 cliques
Tue Jul 18 18:30:03 2017  commencing in-memory singleton removal
Tue Jul 18 18:30:04 2017  begin with 7424878 relations and 7474747 unique ideals
Tue Jul 18 18:30:06 2017  reduce to 7420143 relations and 7285554 ideals in 7 passes
Tue Jul 18 18:30:06 2017  max relations containing the same ideal: 103
Tue Jul 18 18:30:07 2017  relations with 0 large ideals: 2857
Tue Jul 18 18:30:07 2017  relations with 1 large ideals: 823
Tue Jul 18 18:30:07 2017  relations with 2 large ideals: 15666
Tue Jul 18 18:30:07 2017  relations with 3 large ideals: 125599
Tue Jul 18 18:30:07 2017  relations with 4 large ideals: 545868
Tue Jul 18 18:30:07 2017  relations with 5 large ideals: 1380710
Tue Jul 18 18:30:07 2017  relations with 6 large ideals: 2169716
Tue Jul 18 18:30:07 2017  relations with 7+ large ideals: 3178904
Tue Jul 18 18:30:07 2017  commencing 2-way merge
Tue Jul 18 18:30:10 2017  reduce to 4342973 relation sets and 4208384 unique ideals
Tue Jul 18 18:30:10 2017  commencing full merge
Tue Jul 18 18:30:56 2017  memory use: 508.1 MB
Tue Jul 18 18:30:56 2017  found 2223254 cycles, need 2212584
Tue Jul 18 18:30:57 2017  weight of 2212584 cycles is about 155106837 (70.10/cycle)
Tue Jul 18 18:30:57 2017  distribution of cycle lengths:
Tue Jul 18 18:30:57 2017  1 relations: 333151
Tue Jul 18 18:30:57 2017  2 relations: 294165
Tue Jul 18 18:30:57 2017  3 relations: 268765
Tue Jul 18 18:30:57 2017  4 relations: 230227
Tue Jul 18 18:30:57 2017  5 relations: 196037
Tue Jul 18 18:30:57 2017  6 relations: 159539
Tue Jul 18 18:30:57 2017  7 relations: 134975
Tue Jul 18 18:30:57 2017  8 relations: 110280
Tue Jul 18 18:30:57 2017  9 relations: 89539
Tue Jul 18 18:30:57 2017  10+ relations: 395906
Tue Jul 18 18:30:57 2017  heaviest cycle: 28 relations
Tue Jul 18 18:30:57 2017  commencing cycle optimization
Tue Jul 18 18:30:59 2017  start with 12753641 relations
Tue Jul 18 18:31:11 2017  pruned 276002 relations
Tue Jul 18 18:31:11 2017  memory use: 427.7 MB
Tue Jul 18 18:31:11 2017  distribution of cycle lengths:
Tue Jul 18 18:31:11 2017  1 relations: 333151
Tue Jul 18 18:31:11 2017  2 relations: 300328
Tue Jul 18 18:31:11 2017  3 relations: 277234
Tue Jul 18 18:31:11 2017  4 relations: 234564
Tue Jul 18 18:31:11 2017  5 relations: 198851
Tue Jul 18 18:31:11 2017  6 relations: 160562
Tue Jul 18 18:31:11 2017  7 relations: 134946
Tue Jul 18 18:31:11 2017  8 relations: 108963
Tue Jul 18 18:31:11 2017  9 relations: 87943
Tue Jul 18 18:31:11 2017  10+ relations: 376042
Tue Jul 18 18:31:11 2017  heaviest cycle: 28 relations
Tue Jul 18 18:31:13 2017  RelProcTime: 399
Tue Jul 18 18:31:14 2017  elapsed time 00:06:41
Tue Jul 18 18:31:14 2017 LatSieveTime: 1254.11
Tue Jul 18 18:31:14 2017 -> Running matrix solving step ...
Tue Jul 18 18:31:14 2017 -> ./msieve -s 11171_188/11171_188.dat -l 11171_188/11171_188.log -i 11171_188/11171_188.ini -nf 11171_188/11171_188.fb -t 4 -nc2
Tue Jul 18 18:31:14 2017  
Tue Jul 18 18:31:14 2017  
Tue Jul 18 18:31:14 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jul 18 18:31:14 2017  random seeds: 0ba2084e 70718ae4
Tue Jul 18 18:31:14 2017  factoring 775389452433800288450658931860348172023254339407533474060618138178673413565242799405575957503387105577437510392179579293024566045867311241001650426309308058269172755777 (168 digits)
Tue Jul 18 18:31:15 2017  no P-1/P+1/ECM available, skipping
Tue Jul 18 18:31:15 2017  commencing number field sieve (168-digit input)
Tue Jul 18 18:31:15 2017  R0: -10000000000000000000000000000000000000
Tue Jul 18 18:31:15 2017  R1: 1
Tue Jul 18 18:31:15 2017  A0: 539
Tue Jul 18 18:31:15 2017  A1: 0
Tue Jul 18 18:31:15 2017  A2: 0
Tue Jul 18 18:31:15 2017  A3: 0
Tue Jul 18 18:31:15 2017  A4: 0
Tue Jul 18 18:31:15 2017  A5: 1000
Tue Jul 18 18:31:15 2017  skew 0.88, size 2.147e-13, alpha 0.020, combined = 3.355e-11 rroots = 1
Tue Jul 18 18:31:15 2017  
Tue Jul 18 18:31:15 2017  commencing linear algebra
Tue Jul 18 18:31:15 2017  read 2212584 cycles
Tue Jul 18 18:31:18 2017  cycles contain 7245932 unique relations
Tue Jul 18 18:31:53 2017  read 7245932 relations
Tue Jul 18 18:31:58 2017  using 20 quadratic characters above 4294917295
Tue Jul 18 18:32:26 2017  building initial matrix
Tue Jul 18 18:33:08 2017  memory use: 887.8 MB
Tue Jul 18 18:33:08 2017  read 2212584 cycles
Tue Jul 18 18:33:09 2017  matrix is 2212403 x 2212584 (664.5 MB) with weight 195372397 (88.30/col)
Tue Jul 18 18:33:09 2017  sparse part has weight 149847223 (67.72/col)
Tue Jul 18 18:33:19 2017  filtering completed in 2 passes
Tue Jul 18 18:33:20 2017  matrix is 2209942 x 2210123 (664.2 MB) with weight 195286624 (88.36/col)
Tue Jul 18 18:33:20 2017  sparse part has weight 149816779 (67.79/col)
Tue Jul 18 18:33:24 2017  matrix starts at (0, 0)
Tue Jul 18 18:33:24 2017  matrix is 2209942 x 2210123 (664.2 MB) with weight 195286624 (88.36/col)
Tue Jul 18 18:33:24 2017  sparse part has weight 149816779 (67.79/col)
Tue Jul 18 18:33:24 2017  saving the first 48 matrix rows for later
Tue Jul 18 18:33:25 2017  matrix includes 64 packed rows
Tue Jul 18 18:33:25 2017  matrix is 2209894 x 2210123 (630.2 MB) with weight 155046751 (70.15/col)
Tue Jul 18 18:33:25 2017  sparse part has weight 143108120 (64.75/col)
Tue Jul 18 18:33:25 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Tue Jul 18 18:33:30 2017  commencing Lanczos iteration (4 threads)
Tue Jul 18 18:33:30 2017  memory use: 508.1 MB
Tue Jul 18 18:33:36 2017  linear algebra at 0.1%, ETA 2h25m
Tue Jul 18 18:33:38 2017  checkpointing every 910000 dimensions
Tue Jul 18 20:45:37 2017  lanczos halted after 34952 iterations (dim = 2209892)
Tue Jul 18 20:45:39 2017  recovered 37 nontrivial dependencies
Tue Jul 18 20:45:39 2017  BLanczosTime: 8064
Tue Jul 18 20:45:39 2017  elapsed time 02:14:25
Tue Jul 18 20:45:39 2017 -> Running square root step ...
Tue Jul 18 20:45:39 2017 -> ./msieve -s 11171_188/11171_188.dat -l 11171_188/11171_188.log -i 11171_188/11171_188.ini -nf 11171_188/11171_188.fb -t 4 -nc3
Tue Jul 18 20:45:39 2017  
Tue Jul 18 20:45:39 2017  
Tue Jul 18 20:45:39 2017  Msieve v. 1.53 (SVN Unversioned directory)
Tue Jul 18 20:45:39 2017  random seeds: c9e785a4 36c06fa0
Tue Jul 18 20:45:39 2017  factoring 775389452433800288450658931860348172023254339407533474060618138178673413565242799405575957503387105577437510392179579293024566045867311241001650426309308058269172755777 (168 digits)
Tue Jul 18 20:45:40 2017  no P-1/P+1/ECM available, skipping
Tue Jul 18 20:45:40 2017  commencing number field sieve (168-digit input)
Tue Jul 18 20:45:40 2017  R0: -10000000000000000000000000000000000000
Tue Jul 18 20:45:40 2017  R1: 1
Tue Jul 18 20:45:40 2017  A0: 539
Tue Jul 18 20:45:40 2017  A1: 0
Tue Jul 18 20:45:40 2017  A2: 0
Tue Jul 18 20:45:40 2017  A3: 0
Tue Jul 18 20:45:40 2017  A4: 0
Tue Jul 18 20:45:40 2017  A5: 1000
Tue Jul 18 20:45:40 2017  skew 0.88, size 2.147e-13, alpha 0.020, combined = 3.355e-11 rroots = 1
Tue Jul 18 20:45:40 2017  
Tue Jul 18 20:45:40 2017  commencing square root phase
Tue Jul 18 20:45:40 2017  reading relations for dependency 1
Tue Jul 18 20:45:40 2017  read 1104095 cycles
Tue Jul 18 20:45:41 2017  cycles contain 3617264 unique relations
Tue Jul 18 20:46:00 2017  read 3617264 relations
Tue Jul 18 20:46:11 2017  multiplying 3617264 relations
Tue Jul 18 20:48:02 2017  multiply complete, coefficients have about 117.56 million bits
Tue Jul 18 20:48:03 2017  initial square root is modulo 274187521
Tue Jul 18 20:50:26 2017  GCD is N, no factor found
Tue Jul 18 20:50:26 2017  reading relations for dependency 2
Tue Jul 18 20:50:26 2017  read 1105236 cycles
Tue Jul 18 20:50:27 2017  cycles contain 3621766 unique relations
Tue Jul 18 20:50:45 2017  read 3621766 relations
Tue Jul 18 20:50:56 2017  multiplying 3621766 relations
Tue Jul 18 20:52:49 2017  multiply complete, coefficients have about 117.71 million bits
Tue Jul 18 20:52:49 2017  initial square root is modulo 280907831
Tue Jul 18 20:55:12 2017  GCD is N, no factor found
Tue Jul 18 20:55:12 2017  reading relations for dependency 3
Tue Jul 18 20:55:13 2017  read 1104358 cycles
Tue Jul 18 20:55:14 2017  cycles contain 3623558 unique relations
Tue Jul 18 20:55:32 2017  read 3623558 relations
Tue Jul 18 20:55:43 2017  multiplying 3623558 relations
Tue Jul 18 20:57:36 2017  multiply complete, coefficients have about 117.76 million bits
Tue Jul 18 20:57:36 2017  initial square root is modulo 283320031
Tue Jul 18 20:59:59 2017  GCD is N, no factor found
Tue Jul 18 20:59:59 2017  reading relations for dependency 4
Tue Jul 18 20:59:59 2017  read 1104807 cycles
Tue Jul 18 21:00:00 2017  cycles contain 3625330 unique relations
Tue Jul 18 21:00:18 2017  read 3625330 relations
Tue Jul 18 21:00:29 2017  multiplying 3625330 relations
Tue Jul 18 21:02:22 2017  multiply complete, coefficients have about 117.82 million bits
Tue Jul 18 21:02:22 2017  initial square root is modulo 286215161
Tue Jul 18 21:04:43 2017  Newton iteration failed to converge
Tue Jul 18 21:04:43 2017  algebraic square root failed
Tue Jul 18 21:04:43 2017  reading relations for dependency 5
Tue Jul 18 21:04:44 2017  read 1105211 cycles
Tue Jul 18 21:04:45 2017  cycles contain 3622096 unique relations
Tue Jul 18 21:05:03 2017  read 3622096 relations
Tue Jul 18 21:05:14 2017  multiplying 3622096 relations
Tue Jul 18 21:07:06 2017  multiply complete, coefficients have about 117.71 million bits
Tue Jul 18 21:07:06 2017  initial square root is modulo 281263601
Tue Jul 18 21:09:35 2017  GCD is 1, no factor found
Tue Jul 18 21:09:35 2017  reading relations for dependency 6
Tue Jul 18 21:09:35 2017  read 1104890 cycles
Tue Jul 18 21:09:36 2017  cycles contain 3622546 unique relations
Tue Jul 18 21:09:55 2017  read 3622546 relations
Tue Jul 18 21:10:07 2017  multiplying 3622546 relations
Tue Jul 18 21:12:04 2017  multiply complete, coefficients have about 117.73 million bits
Tue Jul 18 21:12:04 2017  initial square root is modulo 282004951
Tue Jul 18 21:14:32 2017  GCD is 1, no factor found
Tue Jul 18 21:14:32 2017  reading relations for dependency 7
Tue Jul 18 21:14:33 2017  read 1104725 cycles
Tue Jul 18 21:14:34 2017  cycles contain 3621544 unique relations
Tue Jul 18 21:14:52 2017  read 3621544 relations
Tue Jul 18 21:15:03 2017  multiplying 3621544 relations
Tue Jul 18 21:17:00 2017  multiply complete, coefficients have about 117.70 million bits
Tue Jul 18 21:17:00 2017  initial square root is modulo 280533101
Tue Jul 18 21:19:29 2017  sqrtTime: 2029
Tue Jul 18 21:19:29 2017  p76 factor: 1102904433832327610986914480743628179469022147458462606026881802751262331087
Tue Jul 18 21:19:29 2017  p93 factor: 703043190913204017321466880875548031580312073739907296052616983503894957958961440565739717871
Tue Jul 18 21:19:29 2017  elapsed time 00:33:50
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 16:59:44 UTC 2014 年 12 月 10 日 (水) 1 時 59 分 44 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:38:29 UTC 2015 年 2 月 16 日 (月) 23 時 38 分 29 秒 (日本時間)
4511e6800 / 4391600Dmitry DomanovNovember 11, 2015 22:58:47 UTC 2015 年 11 月 12 日 (木) 7 時 58 分 47 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:12:02 UTC 2015 年 12 月 5 日 (土) 19 時 12 分 2 秒 (日本時間)

10189+5399

c172

name 名前Jo Yeong Uk
date 日付August 3, 2018 06:05:34 UTC 2018 年 8 月 3 日 (金) 15 時 5 分 34 秒 (日本時間)
composite number 合成数
2398529209870989465211466947627871812291751025599649058937239137844566389832052358538444281567051993966200204464790371049279157297778591311155907421839406610465243434236083<172>
prime factors 素因数
45699190091539229856285135203653796346952352089908845722133<59>
52485157944080377094755148789567949228415729336376887366643893111016351824782558414656689865789176942347244618151<113>
factorization results 素因数分解の結果
Number: 11171_189
N=2398529209870989465211466947627871812291751025599649058937239137844566389832052358538444281567051993966200204464790371049279157297778591311155907421839406610465243434236083
  ( 172 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=45699190091539229856285135203653796346952352089908845722133
 r2=52485157944080377094755148789567949228415729336376887366643893111016351824782558414656689865789176942347244618151
Version: 
Total time: 116.43 hours.
Scaled time: 611.84 units (timescale=5.255).
Factorization parameters were as follows:
n: 2398529209870989465211466947627871812291751025599649058937239137844566389832052358538444281567051993966200204464790371049279157297778591311155907421839406610465243434236083
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: 5390
skew: 5.58
# Murphy_E = 3.269e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 9600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21234111
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1928503 x 1928751
Total sieving time: 107.91 hours.
Total relation processing time: 2.87 hours.
Matrix solve time: 5.33 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 116.43 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 06:08:50 UTC 2014 年 12 月 9 日 (火) 15 時 8 分 50 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:38:55 UTC 2015 年 2 月 16 日 (月) 23 時 38 分 55 秒 (日本時間)
4511e6800 / 4391600Dmitry DomanovNovember 11, 2015 22:59:01 UTC 2015 年 11 月 12 日 (木) 7 時 59 分 1 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:11:47 UTC 2015 年 12 月 5 日 (土) 19 時 11 分 47 秒 (日本時間)

10190+5399

c141

name 名前Cyp
date 日付December 9, 2014 04:40:39 UTC 2014 年 12 月 9 日 (火) 13 時 40 分 39 秒 (日本時間)
composite number 合成数
841964774950604102684885463529726109286582943775361671439069418536227488813713023249594701746777307997866708109836437376882919228266809745609<141>
prime factors 素因数
197796880869065306637529759<27>
composite cofactor 合成数の残り
4256714116275451584249754735739722503828561588763445854999430415412513691167392924149284527564823675567982370528151<115>
factorization results 素因数分解の結果
Run 14 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3766379750
Step 1 took 11512ms
Step 2 took 4337ms
********** Factor found in step 2: 197796880869065306637529759
Found probable prime factor of 27 digits: 197796880869065306637529759
Composite cofactor 4256714116275451584249754735739722503828561588763445854999430415412513691167392924149284527564823675567982370528151 has 115 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c115

name 名前Cyp
date 日付December 12, 2014 14:12:18 UTC 2014 年 12 月 12 日 (金) 23 時 12 分 18 秒 (日本時間)
composite number 合成数
4256714116275451584249754735739722503828561588763445854999430415412513691167392924149284527564823675567982370528151<115>
prime factors 素因数
64276967245544118886827426704567036456683252457<47>
66224563769699952157889861013089647491738923067396958305335671292543<68>
factorization results 素因数分解の結果
12/12/14 12:21:43 v1.34.3, 
12/12/14 12:21:43 v1.34.3, ****************************
12/12/14 12:21:43 v1.34.3, Starting factorization of 4256714116275451584249754735739722503828561588763445854999430415412513691167392924149284527564823675567982370528151
12/12/14 12:21:43 v1.34.3, using pretesting plan: none
12/12/14 12:21:43 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/12/14 12:21:43 v1.34.3, ****************************
12/12/14 12:21:43 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C115
12/12/14 12:21:43 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C115
12/12/14 12:21:43 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C115
12/12/14 12:21:43 v1.34.3, final ECM pretested depth: 0.00
12/12/14 12:21:43 v1.34.3, scheduler: switching to sieve method
12/12/14 12:21:43 v1.34.3, nfs: commencing nfs on c115: 4256714116275451584249754735739722503828561588763445854999430415412513691167392924149284527564823675567982370528151
12/12/14 12:21:43 v1.34.3, nfs: commencing poly selection with 8 threads
12/12/14 12:21:43 v1.34.3, nfs: setting deadline of 850 seconds
12/12/14 12:36:18 v1.34.3, nfs: completed 144 ranges of size 250 in 875.4769 seconds
12/12/14 12:36:18 v1.34.3, nfs: best poly = # norm 6.482837e-11 alpha -6.349071 e 5.601e-10 rroots 3
12/12/14 12:36:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 12:41:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[22 lines snipped]
12/12/14 14:49:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 14:55:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/12/14 15:00:48 v1.34.3, nfs: commencing msieve filtering
12/12/14 15:02:48 v1.34.3, nfs: commencing msieve linear algebra
12/12/14 15:10:57 v1.34.3, nfs: commencing msieve sqrt
12/12/14 15:12:17 v1.34.3, prp47 = 64276967245544118886827426704567036456683252457
12/12/14 15:12:17 v1.34.3, prp68 = 66224563769699952157889861013089647491738923067396958305335671292543
12/12/14 15:12:17 v1.34.3, NFS elapsed time = 10233.8643 seconds.
12/12/14 15:12:17 v1.34.3, 
12/12/14 15:12:17 v1.34.3, 
12/12/14 15:12:17 v1.34.3, Total factoring time = 10233.8871 seconds
--
Fri Dec 12 15:00:48 2014  
Fri Dec 12 15:00:48 2014  commencing relation filtering
Fri Dec 12 15:00:48 2014  estimated available RAM is 15987.3 MB
Fri Dec 12 15:00:48 2014  commencing duplicate removal, pass 1
Fri Dec 12 15:01:21 2014  found 1032912 hash collisions in 10154697 relations
Fri Dec 12 15:01:31 2014  added 62810 free relations
Fri Dec 12 15:01:31 2014  commencing duplicate removal, pass 2
Fri Dec 12 15:01:39 2014  found 457044 duplicates and 9760463 unique relations
Fri Dec 12 15:01:39 2014  memory use: 41.3 MB
Fri Dec 12 15:01:39 2014  reading ideals above 100000
Fri Dec 12 15:01:39 2014  commencing singleton removal, initial pass
Fri Dec 12 15:02:25 2014  memory use: 344.5 MB
Fri Dec 12 15:02:25 2014  reading all ideals from disk
Fri Dec 12 15:02:25 2014  memory use: 338.6 MB
Fri Dec 12 15:02:25 2014  keeping 10649720 ideals with weight <= 200, target excess is 51067
Fri Dec 12 15:02:26 2014  commencing in-memory singleton removal
Fri Dec 12 15:02:26 2014  begin with 9760463 relations and 10649720 unique ideals
Fri Dec 12 15:02:30 2014  reduce to 3560844 relations and 3297402 ideals in 20 passes
Fri Dec 12 15:02:30 2014  max relations containing the same ideal: 105
Fri Dec 12 15:02:31 2014  removing 736304 relations and 634202 ideals in 102102 cliques
Fri Dec 12 15:02:31 2014  commencing in-memory singleton removal
Fri Dec 12 15:02:31 2014  begin with 2824540 relations and 3297402 unique ideals
Fri Dec 12 15:02:32 2014  reduce to 2697829 relations and 2531582 ideals in 12 passes
Fri Dec 12 15:02:32 2014  max relations containing the same ideal: 86
Fri Dec 12 15:02:33 2014  removing 554552 relations and 452450 ideals in 102102 cliques
Fri Dec 12 15:02:33 2014  commencing in-memory singleton removal
Fri Dec 12 15:02:33 2014  begin with 2143277 relations and 2531582 unique ideals
Fri Dec 12 15:02:34 2014  reduce to 2045309 relations and 1977266 ideals in 11 passes
Fri Dec 12 15:02:34 2014  max relations containing the same ideal: 71
Fri Dec 12 15:02:34 2014  removing 80023 relations and 71218 ideals in 8805 cliques
Fri Dec 12 15:02:34 2014  commencing in-memory singleton removal
Fri Dec 12 15:02:34 2014  begin with 1965286 relations and 1977266 unique ideals
Fri Dec 12 15:02:35 2014  reduce to 1963099 relations and 1903854 ideals in 6 passes
Fri Dec 12 15:02:35 2014  max relations containing the same ideal: 70
Fri Dec 12 15:02:35 2014  relations with 0 large ideals: 155
Fri Dec 12 15:02:35 2014  relations with 1 large ideals: 760
Fri Dec 12 15:02:35 2014  relations with 2 large ideals: 9805
Fri Dec 12 15:02:35 2014  relations with 3 large ideals: 67049
Fri Dec 12 15:02:35 2014  relations with 4 large ideals: 242915
Fri Dec 12 15:02:35 2014  relations with 5 large ideals: 493387
Fri Dec 12 15:02:35 2014  relations with 6 large ideals: 579911
Fri Dec 12 15:02:35 2014  relations with 7+ large ideals: 569117
Fri Dec 12 15:02:35 2014  commencing 2-way merge
Fri Dec 12 15:02:36 2014  reduce to 1101376 relation sets and 1042131 unique ideals
Fri Dec 12 15:02:36 2014  commencing full merge
Fri Dec 12 15:02:44 2014  memory use: 117.9 MB
Fri Dec 12 15:02:44 2014  found 549936 cycles, need 542331
Fri Dec 12 15:02:44 2014  weight of 542331 cycles is about 38237203 (70.51/cycle)
Fri Dec 12 15:02:44 2014  distribution of cycle lengths:
Fri Dec 12 15:02:44 2014  1 relations: 61461
Fri Dec 12 15:02:44 2014  2 relations: 58843
Fri Dec 12 15:02:44 2014  3 relations: 59968
Fri Dec 12 15:02:44 2014  4 relations: 53993
Fri Dec 12 15:02:44 2014  5 relations: 50288
Fri Dec 12 15:02:44 2014  6 relations: 43450
Fri Dec 12 15:02:44 2014  7 relations: 38880
Fri Dec 12 15:02:44 2014  8 relations: 34092
Fri Dec 12 15:02:44 2014  9 relations: 29150
Fri Dec 12 15:02:44 2014  10+ relations: 112206
Fri Dec 12 15:02:44 2014  heaviest cycle: 21 relations
Fri Dec 12 15:02:45 2014  commencing cycle optimization
Fri Dec 12 15:02:45 2014  start with 3322619 relations
Fri Dec 12 15:02:48 2014  pruned 65357 relations
Fri Dec 12 15:02:48 2014  memory use: 112.9 MB
Fri Dec 12 15:02:48 2014  distribution of cycle lengths:
Fri Dec 12 15:02:48 2014  1 relations: 61461
Fri Dec 12 15:02:48 2014  2 relations: 60009
Fri Dec 12 15:02:48 2014  3 relations: 61698
Fri Dec 12 15:02:48 2014  4 relations: 55040
Fri Dec 12 15:02:48 2014  5 relations: 51332
Fri Dec 12 15:02:48 2014  6 relations: 43891
Fri Dec 12 15:02:48 2014  7 relations: 39295
Fri Dec 12 15:02:48 2014  8 relations: 34037
Fri Dec 12 15:02:48 2014  9 relations: 29089
Fri Dec 12 15:02:48 2014  10+ relations: 106479
Fri Dec 12 15:02:48 2014  heaviest cycle: 21 relations
Fri Dec 12 15:02:48 2014  RelProcTime: 120
Fri Dec 12 15:02:48 2014  
Fri Dec 12 15:02:48 2014  commencing linear algebra
Fri Dec 12 15:02:48 2014  read 542331 cycles
Fri Dec 12 15:02:49 2014  cycles contain 1908815 unique relations
Fri Dec 12 15:03:00 2014  read 1908815 relations
Fri Dec 12 15:03:01 2014  using 20 quadratic characters above 134217650
Fri Dec 12 15:03:07 2014  building initial matrix
Fri Dec 12 15:03:17 2014  memory use: 242.1 MB
Fri Dec 12 15:03:17 2014  read 542331 cycles
Fri Dec 12 15:03:17 2014  matrix is 542153 x 542331 (165.8 MB) with weight 53036937 (97.79/col)
Fri Dec 12 15:03:17 2014  sparse part has weight 36959110 (68.15/col)
Fri Dec 12 15:03:19 2014  filtering completed in 2 passes
Fri Dec 12 15:03:20 2014  matrix is 541350 x 541528 (165.7 MB) with weight 53003350 (97.88/col)
Fri Dec 12 15:03:20 2014  sparse part has weight 36950242 (68.23/col)
Fri Dec 12 15:03:21 2014  matrix starts at (0, 0)
Fri Dec 12 15:03:21 2014  matrix is 541350 x 541528 (165.7 MB) with weight 53003350 (97.88/col)
Fri Dec 12 15:03:21 2014  sparse part has weight 36950242 (68.23/col)
Fri Dec 12 15:03:21 2014  saving the first 48 matrix rows for later
Fri Dec 12 15:03:21 2014  matrix includes 64 packed rows
Fri Dec 12 15:03:21 2014  matrix is 541302 x 541528 (159.5 MB) with weight 42165879 (77.86/col)
Fri Dec 12 15:03:21 2014  sparse part has weight 36385748 (67.19/col)
Fri Dec 12 15:03:21 2014  using block size 65536 for processor cache size 8192 kB
Fri Dec 12 15:03:22 2014  commencing Lanczos iteration (8 threads)
Fri Dec 12 15:03:22 2014  memory use: 151.0 MB
Fri Dec 12 15:03:25 2014  linear algebra at 0.6%, ETA 0h 8m
Fri Dec 12 15:10:57 2014  lanczos halted after 8562 iterations (dim = 541299)
Fri Dec 12 15:10:57 2014  recovered 31 nontrivial dependencies
Fri Dec 12 15:10:57 2014  BLanczosTime: 489
Fri Dec 12 15:10:57 2014  
Fri Dec 12 15:10:57 2014  commencing square root phase
Fri Dec 12 15:10:57 2014  reading relations for dependency 1
Fri Dec 12 15:10:57 2014  read 271263 cycles
Fri Dec 12 15:10:58 2014  cycles contain 955364 unique relations
Fri Dec 12 15:11:08 2014  read 955364 relations
Fri Dec 12 15:11:10 2014  multiplying 955364 relations
Fri Dec 12 15:11:38 2014  multiply complete, coefficients have about 40.56 million bits
Fri Dec 12 15:11:39 2014  initial square root is modulo 665857
Fri Dec 12 15:12:17 2014  sqrtTime: 80
--
n: 4256714116275451584249754735739722503828561588763445854999430415412513691167392924149284527564823675567982370528151
skew: 66255.36
c0: 2226259308119813683586746110
c1: -263055447808671259836381
c2: 706577867589135122
c3: 71588056445101
c4: 376615403
c5: 5820
Y0: -14887782778228550007641
Y1: 731714435393
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280 / 2318CypDecember 9, 2014 04:40:39 UTC 2014 年 12 月 9 日 (火) 13 時 40 分 39 秒 (日本時間)

10191+5399

c156

name 名前Jo Yeong Uk
date 日付September 7, 2018 01:45:31 UTC 2018 年 9 月 7 日 (金) 10 時 45 分 31 秒 (日本時間)
composite number 合成数
147224398031295886325898033199259143677859476540355060502968402416654044484321215277077082695781807575323662134087154021846570277376558152564943553257390369<156>
prime factors 素因数
5122896556779502620852602874195295310772395645357<49>
87677520566945133120208423006239589230904114326797867<53>
327775086607098536805465053630936753957615902663411151<54>
factorization results 素因数分解の結果
Number: 11171_191
N=147224398031295886325898033199259143677859476540355060502968402416654044484321215277077082695781807575323662134087154021846570277376558152564943553257390369
  ( 156 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=5122896556779502620852602874195295310772395645357
 r2=87677520566945133120208423006239589230904114326797867
 r3=327775086607098536805465053630936753957615902663411151
Version: 
Total time: 112.90 hours.
Scaled time: 593.40 units (timescale=5.256).
Factorization parameters were as follows:
n: 147224398031295886325898033199259143677859476540355060502968402416654044484321215277077082695781807575323662134087154021846570277376558152564943553257390369
m: 100000000000000000000000000000000000000
deg: 5
c5: 10
c0: 539
skew: 2.22
# Murphy_E = 3.324e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 9800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21257293
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1901665 x 1901913
Total sieving time: 104.50 hours.
Total relation processing time: 2.68 hours.
Matrix solve time: 5.07 hours.
Time per square root: 0.65 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 112.90 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 14:59:30 UTC 2014 年 12 月 9 日 (火) 23 時 59 分 30 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:39:21 UTC 2015 年 2 月 16 日 (月) 23 時 39 分 21 秒 (日本時間)
4511e6762 / 4391562CypJuly 3, 2015 18:19:45 UTC 2015 年 7 月 4 日 (土) 3 時 19 分 45 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:11:25 UTC 2015 年 12 月 5 日 (土) 19 時 11 分 25 秒 (日本時間)

10192+5399

c185

name 名前Jo Yeong Uk
date 日付September 27, 2018 10:34:50 UTC 2018 年 9 月 27 日 (木) 19 時 34 分 50 秒 (日本時間)
composite number 合成数
41558008059843199142109728019044871469600462557252909278743731338116743177037405240988447247781436129227285774598257697135294297813246706496692751381585588447472194679652380561141990789<185>
prime factors 素因数
20546642662396945731617754103916173681011113355231461179<56>
2022617940200021646926028367163168309343355492814978334514896128488405291670392490036233405527898775393774895188816876751029846591<130>
factorization results 素因数分解の結果
Number: 11171_192
N=41558008059843199142109728019044871469600462557252909278743731338116743177037405240988447247781436129227285774598257697135294297813246706496692751381585588447472194679652380561141990789
  ( 185 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=20546642662396945731617754103916173681011113355231461179
 r2=2022617940200021646926028367163168309343355492814978334514896128488405291670392490036233405527898775393774895188816876751029846591
Version: 
Total time: 126.64 hours.
Scaled time: 659.90 units (timescale=5.211).
Factorization parameters were as follows:
n: 41558008059843199142109728019044871469600462557252909278743731338116743177037405240988447247781436129227285774598257697135294297813246706496692751381585588447472194679652380561141990789
m: 100000000000000000000000000000000000000
deg: 5
c5: 100
c0: 539
skew: 1.40
# Murphy_E = 2.848e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 10700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22575735
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2130717 x 2130964
Total sieving time: 116.01 hours.
Total relation processing time: 3.19 hours.
Matrix solve time: 6.76 hours.
Time per square root: 0.67 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 126.64 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:00 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 0 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:39:37 UTC 2015 年 2 月 16 日 (月) 23 時 39 分 37 秒 (日本時間)
4511e6756 / 4387556CypJune 24, 2015 06:04:43 UTC 2015 年 6 月 24 日 (水) 15 時 4 分 43 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:11:07 UTC 2015 年 12 月 5 日 (土) 19 時 11 分 7 秒 (日本時間)

10193+5399

c158

name 名前Jo Yeong Uk
date 日付August 7, 2018 06:41:41 UTC 2018 年 8 月 7 日 (火) 15 時 41 分 41 秒 (日本時間)
composite number 合成数
16338649325262831928990666950139650147339668239863019467926882169328837259790577270749058880697284187056129401793036127889553711354378480427026530112793378037<158>
prime factors 素因数
256765829308615407424870615924018133399543<42>
63632491010417374464385181260106201926135311608066547417439012794650559567583865007697997160120788278434750691635059<116>
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 16338649325262831928990666950139650147339668239863019467926882169328837259790577270749058880697284187056129401793036127889553711354378480427026530112793378037 (158 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5617113978
Step 1 took 29789ms
Step 2 took 4537ms
********** Factor found in step 2: 256765829308615407424870615924018133399543
Found probable prime factor of 42 digits: 256765829308615407424870615924018133399543
Probable prime cofactor 63632491010417374464385181260106201926135311608066547417439012794650559567583865007697997160120788278434750691635059 has 116 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 8, 2014 18:49:09 UTC 2014 年 12 月 9 日 (火) 3 時 49 分 9 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:39:53 UTC 2015 年 2 月 16 日 (月) 23 時 39 分 53 秒 (日本時間)
4511e6800 / 4391600Dmitry DomanovNovember 11, 2015 22:59:29 UTC 2015 年 11 月 12 日 (木) 7 時 59 分 29 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:10:50 UTC 2015 年 12 月 5 日 (土) 19 時 10 分 50 秒 (日本時間)

10196+5399

c158

name 名前Jo Yeong Uk
date 日付February 21, 2019 02:48:40 UTC 2019 年 2 月 21 日 (木) 11 時 48 分 40 秒 (日本時間)
composite number 合成数
46252210301380351855710021161116865764279103088653561843669555079461219594943678394801000078887213307931107030602024879714715377859199574195511852472625776357<158>
prime factors 素因数
46466940732188992293607668615357691637869809953879<50>
995378855861283536903283736593223469700928060867822965172226524813756020341501859175777878601701245455163683<108>
factorization results 素因数分解の結果
Number: 11171_196
N=46252210301380351855710021161116865764279103088653561843669555079461219594943678394801000078887213307931107030602024879714715377859199574195511852472625776357
  ( 158 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=46466940732188992293607668615357691637869809953879
 r2=995378855861283536903283736593223469700928060867822965172226524813756020341501859175777878601701245455163683
Version: 
Total time: 159.75 hours.
Scaled time: 839.02 units (timescale=5.252).
Factorization parameters were as follows:
n: 46252210301380351855710021161116865764279103088653561843669555079461219594943678394801000078887213307931107030602024879714715377859199574195511852472625776357
m: 1000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 539
skew: 2.22
# Murphy_E = 2.065e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 12700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33736879
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2654427 x 2654675
Total sieving time: 142.19 hours.
Total relation processing time: 5.33 hours.
Matrix solve time: 12.04 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,29,29,55,55,2.5,2.5,100000
total time: 159.75 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 7, 2014 17:03:07 UTC 2014 年 12 月 8 日 (月) 2 時 3 分 7 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:40:07 UTC 2015 年 2 月 16 日 (月) 23 時 40 分 7 秒 (日本時間)
4511e6800 / 4391600Dmitry DomanovNovember 11, 2015 23:00:06 UTC 2015 年 11 月 12 日 (木) 8 時 0 分 6 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:10:35 UTC 2015 年 12 月 5 日 (土) 19 時 10 分 35 秒 (日本時間)

10197+5399

c188

name 名前Jo Yeong Uk
date 日付December 23, 2018 00:14:23 UTC 2018 年 12 月 23 日 (日) 9 時 14 分 23 秒 (日本時間)
composite number 合成数
87701382007235509599891061552936948397279476118109896263674422504180937556136284288737586640052770202198176029279885171387799131248877932074590302533520943778917683506527381892643129841597<188>
prime factors 素因数
1175617300495004444054697779729665170602448913712231<52>
composite cofactor 合成数の残り
74600281886212493248000608089446856358858265303344944240748805972655777818039694286964688514666554997223338342588710129695854140977302587<137>
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 87701382007235509599891061552936948397279476118109896263674422504180937556136284288737586640052770202198176029279885171387799131248877932074590302533520943778917683506527381892643129841597 (188 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1986844711
Step 1 took 34032ms
Step 2 took 11232ms
********** Factor found in step 2: 1175617300495004444054697779729665170602448913712231
Found probable prime factor of 52 digits: 1175617300495004444054697779729665170602448913712231
Composite cofactor 74600281886212493248000608089446856358858265303344944240748805972655777818039694286964688514666554997223338342588710129695854140977302587 has 137 digits
execution environment 実行環境
Core i7-4930K

c137

name 名前Erik Branger
date 日付February 11, 2019 16:39:08 UTC 2019 年 2 月 12 日 (火) 1 時 39 分 8 秒 (日本時間)
composite number 合成数
74600281886212493248000608089446856358858265303344944240748805972655777818039694286964688514666554997223338342588710129695854140977302587<137>
prime factors 素因数
33087393625338746072767533674200147056157398091972345981<56>
2254643648603456343308332254408661939977039213267962532213950204452690067487823127<82>
factorization results 素因数分解の結果
Number: 11121_198
N = 74600281886212493248000608089446856358858265303344944240748805972655777818039694286964688514666554997223338342588710129695854140977302587 (137 digits)
Divisors found:
r1=33087393625338746072767533674200147056157398091972345981 (pp56)
r2=2254643648603456343308332254408661939977039213267962532213950204452690067487823127 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 198.54 hours.
Factorization parameters were as follows:
# Murphy_E = 3.04e-11, selected by Erik Branger
n: 74600281886212493248000608089446856358858265303344944240748805972655777818039694286964688514666554997223338342588710129695854140977302587
Y0: -562903687938028579907917217
Y1: 158148442993823
c0: -353284308401800638595642310252376
c1: 1191874343396917875499177184
c2: 37684768901052107383156
c3: -8697993564282591
c4: -42545260238
c5: 1320
skew: 912492.86
type: gnfs
# selected mechanically
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22564217
Relations: 3792980 relations
Pruned matrix : 2289701 x 2289928
Polynomial selection time: 0.00 hours.
Total sieving time: 194.44 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.67 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,15000000,15000000,28,28,55,55,2.6,2.6,100000
total time: 198.54 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 10, 2014 06:17:31 UTC 2014 年 12 月 10 日 (水) 15 時 17 分 31 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:40:24 UTC 2015 年 2 月 16 日 (月) 23 時 40 分 24 秒 (日本時間)
4511e6800 / 4391600Dmitry DomanovNovember 11, 2015 23:01:09 UTC 2015 年 11 月 12 日 (木) 8 時 1 分 9 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:10:19 UTC 2015 年 12 月 5 日 (土) 19 時 10 分 19 秒 (日本時間)

10198+5399

c164

name 名前Jo Yeong Uk
date 日付April 26, 2019 03:24:39 UTC 2019 年 4 月 26 日 (金) 12 時 24 分 39 秒 (日本時間)
composite number 合成数
36906109673629181516353331830637120358358275886150853886667867862368385069609784610561515569675913852014294383261140179793165297183970491638308417177994648137071041<164>
prime factors 素因数
6933222496674926004366571758087034447128404714189<49>
5323081682627208631468223730358763617718519527637652835197184247317993438474613895984864085351450558926476080528069<115>
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 36906109673629181516353331830637120358358275886150853886667867862368385069609784610561515569675913852014294383261140179793165297183970491638308417177994648137071041 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1789571109
Step 1 took 29665ms
********** Factor found in step 1: 6933222496674926004366571758087034447128404714189
Found probable prime factor of 49 digits: 6933222496674926004366571758087034447128404714189
Probable prime cofactor 5323081682627208631468223730358763617718519527637652835197184247317993438474613895984864085351450558926476080528069 has 115 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 00:16:21 UTC 2014 年 12 月 9 日 (火) 9 時 16 分 21 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:40:52 UTC 2015 年 2 月 16 日 (月) 23 時 40 分 52 秒 (日本時間)
4511e6800 / 4391600Dmitry DomanovNovember 11, 2015 23:01:21 UTC 2015 年 11 月 12 日 (木) 8 時 1 分 21 秒 (日本時間)
200Dmitry DomanovDecember 5, 2015 10:09:59 UTC 2015 年 12 月 5 日 (土) 19 時 9 分 59 秒 (日本時間)

10199+5399

c173

name 名前Alfred Reich
date 日付February 16, 2015 09:34:11 UTC 2015 年 2 月 16 日 (月) 18 時 34 分 11 秒 (日本時間)
composite number 合成数
20353477509645760439252387258602707859393065801676355844373990766507446227066691378891763319743098125055790363958702601890688783512504941889009820285526021778918546671426801<173>
prime factors 素因数
16980611393578730101398663780355381<35>
1198630428427476405758944867532239923187496105719095314529983735263337950802842007763914427435993900815028455312894073951150360456535839821<139>
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 20353477509645760439252387258602707859393065801676355844373990766507446227066691378891763319743098125055790363958702601890688783512504941889009820285526021778918546671426801 (173 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2856491850
Step 1 took 10359ms
Step 2 took 7410ms
********** Factor found in step 2: 16980611393578730101398663780355381
Found probable prime factor of 35 digits: 16980611393578730101398663780355381
Probable prime cofactor 1198630428427476405758944867532239923187496105719095314529983735263337950802842007763914427435993900815028455312894073951150360456535839821 has 139 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:00 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 0 秒 (日本時間)

10201+5399

c198

name 名前Robert Backstrom
date 日付December 9, 2014 02:13:33 UTC 2014 年 12 月 9 日 (火) 11 時 13 分 33 秒 (日本時間)
composite number 合成数
649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141001<198>
prime factors 素因数
12255655721195390297346724755238955533845533350143980281022320421<65>
53018181513813247104267770384956974424264973029823316338311843159807336126872319517247626741406592562953594855776102681580075708648981<134>
factorization results 素因数分解の結果
Number: n
N=649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141001
  ( 198 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Dec  9 11:22:44 2014  prp65 factor: 12255655721195390297346724755238955533845533350143980281022320421
Tue Dec  9 11:22:44 2014  prp134 factor: 53018181513813247104267770384956974424264973029823316338311843159807336126872319517247626741406592562953594855776102681580075708648981
Tue Dec  9 11:22:44 2014  elapsed time 03:03:23 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
#  N = (10^201+539)/9  1(199)71
#
n: 649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141001
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10
c0: 539
skew: 2.22
# Murphy_E = 1.277e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30250000)
Primes: RFBsize:1013012, AFBsize:1013181,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12126980 hash collisions in 79760856 relations (69224283 unique)
Msieve: matrix is 1721560 x 1721787 (488.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 2hrs 26min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 4sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15700000,15700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038567] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059648K/16661464K available (7373K kernel code, 1159K rwdata, 3228K rodata, 1468K init, 1504K bss, 601816K reserved)
[    1.136330] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.63 BogoMIPS (lpj=3600319)
[    0.136557] smpboot: Total of 8 processors activated (57605.10 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)

10204+5399

c154

name 名前Bob Backstrom
date 日付October 19, 2021 09:44:56 UTC 2021 年 10 月 19 日 (火) 18 時 44 分 56 秒 (日本時間)
composite number 合成数
1137639646847442301478643972269202813132646114021710579104676573260959720105835874843108984397685551910203341037704951458082641399167056454480331786669489<154>
prime factors 素因数
63872330241503173005877034511775353153627733<44>
17811149875791177362589434443422603414583552042778705654834708168881908346774039332957744831207080054639857133<110>
factorization results 素因数分解の結果
#
# N = 10^204+539 = 1(202)71
#
n: 1137639646847442301478643972269202813132646114021710579104676573260959720105835874843108984397685551910203341037704951458082641399167056454480331786669489
m: 10000000000000000000000000000000000
deg: 6
c6: 1
c0: 539
skew: 2.85
# Murphy_E = 7.898e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1137639646847442301478643972269202813132646114021710579104676573260959720105835874843108984397685551910203341037704951458082641399167056454480331786669489 (154 digits)
Using B1=46920000, B2=240494804566, polynomial Dickson(12), sigma=1:2412372327
Step 1 took 94241ms
Step 2 took 32390ms
********** Factor found in step 2: 63872330241503173005877034511775353153627733
Found prime factor of 44 digits: 63872330241503173005877034511775353153627733
Prime cofactor 17811149875791177362589434443422603414583552042778705654834708168881908346774039332957744831207080054639857133 has 110 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:01 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 1 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:41:39 UTC 2015 年 2 月 16 日 (月) 23 時 41 分 39 秒 (日本時間)
4511e61356 / 3685556CypJune 8, 2015 15:00:36 UTC 2015 年 6 月 9 日 (火) 0 時 0 分 36 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 10:13:28 UTC 2015 年 12 月 5 日 (土) 19 時 13 分 28 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:35:28 UTC 2015 年 12 月 11 日 (金) 15 時 35 分 28 秒 (日本時間)
5043e6200 / 7233Dmitry DomanovDecember 26, 2015 21:50:33 UTC 2015 年 12 月 27 日 (日) 6 時 50 分 33 秒 (日本時間)

10205+5399

c186

name 名前Bob Backstrom
date 日付October 21, 2021 06:13:52 UTC 2021 年 10 月 21 日 (木) 15 時 13 分 52 秒 (日本時間)
composite number 合成数
101892729895259619572248313113167697798312750443697912815869446794476580823624022031974822593040067461462949110871851958480886141780657593761564821514541168843011670794813907225721821269<186>
prime factors 素因数
7937600234674662384192650148007056807656238244448200758949<58>
12836717254939444120136314802516536682928751477003127862331291220318677222573475307641451884380247417831963866077849657433373681<128>
factorization results 素因数分解の結果
Number: n
N=101892729895259619572248313113167697798312750443697912815869446794476580823624022031974822593040067461462949110871851958480886141780657593761564821514541168843011670794813907225721821269  ( 186 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Oct 21 16:55:14 2021  p58 factor: 7937600234674662384192650148007056807656238244448200758949
Thu Oct 21 16:55:14 2021  p128 factor: 12836717254939444120136314802516536682928751477003127862331291220318677222573475307641451884380247417831963866077849657433373681
Thu Oct 21 16:55:14 2021  elapsed time 02:08:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 10^205+539 = 1(203)71
#
n: 101892729895259619572248313113167697798312750443697912815869446794476580823624022031974822593040067461462949110871851958480886141780657593761564821514541168843011670794813907225721821269
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: 539
skew: 3.52
# Murphy_E = 9.247e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9112742 hash collisions in 62711172 relations (56037923 unique)
Msieve: matrix is 2324166 x 2324394 (800.4 MB)

Sieving start time : 2021/10/20 23:24:54
Sieving end time  : 2021/10/21 14:42:22

Total sieving time: 15hrs 17min 28secs.

Total relation processing time: 1hrs 50min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:01 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 1 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:41:52 UTC 2015 年 2 月 16 日 (月) 23 時 41 分 52 秒 (日本時間)
4511e61356 / 4387556CypJuly 2, 2015 19:12:54 UTC 2015 年 7 月 3 日 (金) 4 時 12 分 54 秒 (日本時間)
600Dmitry DomanovDecember 3, 2015 20:26:31 UTC 2015 年 12 月 4 日 (金) 5 時 26 分 31 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:35:51 UTC 2015 年 12 月 11 日 (金) 15 時 35 分 51 秒 (日本時間)

10206+5399

c177

name 名前ebina
date 日付August 13, 2023 20:22:20 UTC 2023 年 8 月 14 日 (月) 5 時 22 分 20 秒 (日本時間)
composite number 合成数
389802953261760383241252140253191833995448189123142850048467128707959707109037309866408830904376800333025269183396776254051432320176712150899402090978565959529139590167262319071<177>
prime factors 素因数
362572462980421793292858482008681736596900094006401181009387158356557<69>
1075103580833189153083565387252011824050208751212843331912259994452851825040145326446433341534815659149034203<109>
factorization results 素因数分解の結果
Mon Aug 14 02:45:49 2023  Msieve v. 1.54 (SVN 1018)
Mon Aug 14 02:45:49 2023  random seeds: 7df1f67c f9647757
Mon Aug 14 02:45:49 2023  factoring 389802953261760383241252140253191833995448189123142850048467128707959707109037309866408830904376800333025269183396776254051432320176712150899402090978565959529139590167262319071 (177 digits)
Mon Aug 14 02:45:50 2023  searching for 15-digit factors
Mon Aug 14 02:45:50 2023  commencing number field sieve (177-digit input)
Mon Aug 14 02:45:50 2023  R0: -100000000000000000000000000000000000000000
Mon Aug 14 02:45:50 2023  R1: 1
Mon Aug 14 02:45:50 2023  A0: 539
Mon Aug 14 02:45:50 2023  A1: 0
Mon Aug 14 02:45:50 2023  A2: 0
Mon Aug 14 02:45:50 2023  A3: 0
Mon Aug 14 02:45:50 2023  A4: 0
Mon Aug 14 02:45:50 2023  A5: 10
Mon Aug 14 02:45:50 2023  skew 2.22, size 2.241e-014, alpha 0.351, combined = 7.868e-012 rroots = 1
Mon Aug 14 02:45:50 2023  
Mon Aug 14 02:45:50 2023  commencing square root phase
Mon Aug 14 02:45:50 2023  reading relations for dependency 1
Mon Aug 14 02:45:51 2023  read 1918971 cycles
Mon Aug 14 02:45:53 2023  cycles contain 6408884 unique relations
Mon Aug 14 02:47:12 2023  read 6408884 relations
Mon Aug 14 02:47:32 2023  multiplying 6408884 relations
Mon Aug 14 02:49:47 2023  multiply complete, coefficients have about 178.18 million bits
Mon Aug 14 02:49:47 2023  initial square root is modulo 2480161
Mon Aug 14 02:52:28 2023  sqrtTime: 398
Mon Aug 14 02:52:28 2023  p69 factor: 362572462980421793292858482008681736596900094006401181009387158356557
Mon Aug 14 02:52:28 2023  p109 factor: 1075103580833189153083565387252011824050208751212843331912259994452851825040145326446433341534815659149034203
Mon Aug 14 02:52:28 2023  elapsed time 00:06:39

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 7, 2014 04:59:22 UTC 2014 年 12 月 7 日 (日) 13 時 59 分 22 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:42:06 UTC 2015 年 2 月 16 日 (月) 23 時 42 分 6 秒 (日本時間)
4511e61400 / 4391600Dmitry DomanovNovember 11, 2015 23:01:40 UTC 2015 年 11 月 12 日 (木) 8 時 1 分 40 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 20:56:44 UTC 2015 年 12 月 5 日 (土) 5 時 56 分 44 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:36:05 UTC 2015 年 12 月 11 日 (金) 15 時 36 分 5 秒 (日本時間)

10207+5399

c173

name 名前Cyp
date 日付May 29, 2015 21:26:12 UTC 2015 年 5 月 30 日 (土) 6 時 26 分 12 秒 (日本時間)
composite number 合成数
81646502151831187009078644003914915654530902042086351414777473650340765424920086883536110696236985517186940972870812403778279163185164638694436922945064498674076347614757749<173>
prime factors 素因数
1242445994985778919693276965664478723197<40>
65714326804816748375346636362081930094248959310717279812273009013624160463792827828111395353831916983630417585040461377297451974192217<134>
factorization results 素因数分解の結果
Run 18 out of 556:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3235873321
Step 1 took 50169ms
********** Factor found in step 1: 1242445994985778919693276965664478723197
Found probable prime factor of 40 digits: 1242445994985778919693276965664478723197
Probable prime cofactor 65714326804816748375346636362081930094248959310717279812273009013624160463792827828111395353831916983630417585040461377297451974192217 has 134 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400 / 2256300Serge BatalovDecember 10, 2014 19:47:02 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 2 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:42:18 UTC 2015 年 2 月 16 日 (月) 23 時 42 分 18 秒 (日本時間)
4511e618 / 4387CypMay 29, 2015 21:26:11 UTC 2015 年 5 月 30 日 (土) 6 時 26 分 11 秒 (日本時間)

10209+5399

c199

name 名前Dmitry Domanov
date 日付December 5, 2015 10:07:25 UTC 2015 年 12 月 5 日 (土) 19 時 7 分 25 秒 (日本時間)
composite number 合成数
4768032994149021647374299007669187059826169396110728293609265326508929146811378714736236316683476884319118907653333497929646717752879818012034517279805988180561822592562611360059816682774624579575669<199>
prime factors 素因数
8341344381910166574102686067935784947503<40>
571614451561241358161977339551555810937008112556144167041169906999651705731309243400754342957527415186722088628634920990811936785735483202567609794981701677723<159>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3329036619
Step 1 took 129389ms
Step 2 took 16572ms
********** Factor found in step 2: 8341344381910166574102686067935784947503
Found probable prime factor of 40 digits: 8341344381910166574102686067935784947503

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 8, 2014 23:04:19 UTC 2014 年 12 月 9 日 (火) 8 時 4 分 19 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:42:30 UTC 2015 年 2 月 16 日 (月) 23 時 42 分 30 秒 (日本時間)
4511e61200 / 4391600Dmitry DomanovNovember 11, 2015 23:01:52 UTC 2015 年 11 月 12 日 (木) 8 時 1 分 52 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 20:58:20 UTC 2015 年 12 月 5 日 (土) 5 時 58 分 20 秒 (日本時間)

10210+5399

c164

name 名前Dmitry Domanov
date 日付December 5, 2015 16:49:50 UTC 2015 年 12 月 6 日 (日) 1 時 49 分 50 秒 (日本時間)
composite number 合成数
20140218924788930078254959489031882395653444922631178162721487938463622287908364666261664635597748224589873299488401162134130844631370560779580486063252670384413069<164>
prime factors 素因数
91585674932177971665882687081370375398623048774387<50>
219905776091112347593031756128679512060683610998233459696773395914756672662959735862042285733715958863956286972287<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=808751663
Step 1 took 98300ms
Step 2 took 32935ms
********** Factor found in step 2: 91585674932177971665882687081370375398623048774387
Found probable prime factor of 50 digits: 91585674932177971665882687081370375398623048774387

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:02 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 2 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:42:45 UTC 2015 年 2 月 16 日 (月) 23 時 42 分 45 秒 (日本時間)
4511e61200 / 4387600Dmitry DomanovNovember 11, 2015 23:02:03 UTC 2015 年 11 月 12 日 (木) 8 時 2 分 3 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 10:13:52 UTC 2015 年 12 月 5 日 (土) 19 時 13 分 52 秒 (日本時間)

10212+5399

c194

composite cofactor 合成数の残り
65665484731319349634583914268915343258870114386360217774697525961335818419587468210676811562509241949105981128737269793308451528021031813750838429677745233246691002458355698093068015186655430097<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:03 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 3 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:42:58 UTC 2015 年 2 月 16 日 (月) 23 時 42 分 58 秒 (日本時間)
4511e61356 / 4387556CypJune 5, 2015 07:04:43 UTC 2015 年 6 月 5 日 (金) 16 時 4 分 43 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 20:57:45 UTC 2015 年 12 月 5 日 (土) 5 時 57 分 45 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:36:22 UTC 2015 年 12 月 11 日 (金) 15 時 36 分 22 秒 (日本時間)

10213+5399

c193

composite cofactor 合成数の残り
5287595641735275207416336257711595258153641432479353040811682010134811325610388964928273300767522860641498397633594078442016783016491753492571752039314025989668926416557001406565724963452861259<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:03 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 3 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:43:35 UTC 2015 年 2 月 16 日 (月) 23 時 43 分 35 秒 (日本時間)
4511e61356 / 4387556CypJune 13, 2015 12:23:14 UTC 2015 年 6 月 13 日 (土) 21 時 23 分 14 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 20:57:59 UTC 2015 年 12 月 5 日 (土) 5 時 57 分 59 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:36:35 UTC 2015 年 12 月 11 日 (金) 15 時 36 分 35 秒 (日本時間)

10214+5399

c211

name 名前Serge Batalov
date 日付December 9, 2014 01:13:03 UTC 2014 年 12 月 9 日 (火) 10 時 13 分 3 秒 (日本時間)
composite number 合成数
1121201928467316963785177710505662069738759950667115147438053593452180737750868931494562170646933512725641888104047538961767014239264491534925440071756923421908285682251373472362372463280636842695369436035429981<211>
prime factors 素因数
10849801001189480303483010294524779<35>
103338478590012653587882109318190208326354427648869834795620683307440164703274974632062113933991835009316941094834955879433513070244609646588708723067909922109242445588411588439<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2771336622
Step 1 took 17454ms
Step 2 took 12981ms
********** Factor found in step 2: 10849801001189480303483010294524779
Found probable prime factor of 35 digits: 10849801001189480303483010294524779
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:43 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 43 秒 (日本時間)

10215+5399

c206

name 名前Cyp
date 日付December 9, 2014 11:21:56 UTC 2014 年 12 月 9 日 (火) 20 時 21 分 56 秒 (日本時間)
composite number 合成数
18020225086483299447984949247074909896022866963566777937610146407100915394619563469125869340641158826499307040984108451664127971049404119171279740222006516884296501560835941742443871077283047220552274448289<206>
prime factors 素因数
1259138357157858248541713671823051<34>
14311552804378671460306789480668505858278221858765246325510489917702886607638447479140966059354278593684836911236637698609361051736254497331513491819177859693356060557734339<173>
factorization results 素因数分解の結果
Run 81 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4058171944
Step 1 took 18897ms
Step 2 took 6387ms
********** Factor found in step 2: 1259138357157858248541713671823051
Found probable prime factor of 34 digits: 1259138357157858248541713671823051
Probable prime cofactor 14311552804378671460306789480668505858278221858765246325510489917702886607638447479140966059354278593684836911236637698609361051736254497331513491819177859693356060557734339 has 173 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 677Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e681 / 2318CypDecember 9, 2014 11:21:55 UTC 2014 年 12 月 9 日 (火) 20 時 21 分 55 秒 (日本時間)

10216+5399

c163

name 名前Alfred Reich
date 日付February 16, 2015 14:34:31 UTC 2015 年 2 月 16 日 (月) 23 時 34 分 31 秒 (日本時間)
composite number 合成数
3236463941815993215994289634252315860714020334741971765464727336234847876102237182100075292326619947126244292008868518305960410662298106231170453149897149254551433<163>
prime factors 素因数
75276103187620943667602086111636218121<38>
42994573374093379767028203841540703640039396900958218171103865908835724027852740023573136852077128012166590572378273099436673<125>
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 3236463941815993215994289634252315860714020334741971765464727336234847876102237182100075292326619947126244292008868518305960410662298106231170453149897149254551433 (163 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2678479792
Step 1 took 10484ms
Step 2 took 7145ms
********** Factor found in step 2: 75276103187620943667602086111636218121
Found probable prime factor of 38 digits: 75276103187620943667602086111636218121
Probable prime cofactor 42994573374093379767028203841540703640039396900958218171103865908835724027852740023573136852077128012166590572378273099436673 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovDecember 10, 2014 19:47:04 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 4 秒 (日本時間)

10217+5399

c165

composite cofactor 合成数の残り
555279671618301747491722096437919347346159470539689773131399253999479077302695166986605183603083779335032539817026885079658119135319538149487143599555620006466069791<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:04 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 4 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:44:04 UTC 2015 年 2 月 16 日 (月) 23 時 44 分 4 秒 (日本時間)
4511e61356 / 3685556CypJuly 6, 2015 06:04:05 UTC 2015 年 7 月 6 日 (月) 15 時 4 分 5 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 10:14:10 UTC 2015 年 12 月 5 日 (土) 19 時 14 分 10 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:36:48 UTC 2015 年 12 月 11 日 (金) 15 時 36 分 48 秒 (日本時間)
5043e6200 / 7233Dmitry DomanovDecember 26, 2015 21:51:36 UTC 2015 年 12 月 27 日 (日) 6 時 51 分 36 秒 (日本時間)

10220+5399

c156

name 名前Erik Branger
date 日付January 14, 2018 14:19:36 UTC 2018 年 1 月 14 日 (日) 23 時 19 分 36 秒 (日本時間)
composite number 合成数
337000683547006639686392266905252552556900921390787235627626651613992213364557916322655452542009198131026427140477298451577237085615045057683370212452549749<156>
prime factors 素因数
15307908644092637370113882558451006487305763<44>
22014808905791066313983164504599199820925257925966931927863972902550899333950355676088320396208323171287885324423<113>
factorization results 素因数分解の結果
Number: 11171_220
N = 337000683547006639686392266905252552556900921390787235627626651613992213364557916322655452542009198131026427140477298451577237085615045057683370212452549749 (156 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=15307908644092637370113882558451006487305763 (pp44)
r2=22014808905791066313983164504599199820925257925966931927863972902550899333950355676088320396208323171287885324423 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 85.19 hours.
Factorization parameters were as follows:
n: 337000683547006639686392266905252552556900921390787235627626651613992213364557916322655452542009198131026427140477298451577237085615045057683370212452549749
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: 539
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30229470
Relations: 7355664 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 50.63 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6815785 x 6816010
Matrix solve time: 34.05 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 85.19 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 14:38:35 UTC 2014 年 12 月 9 日 (火) 23 時 38 分 35 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:44:20 UTC 2015 年 2 月 16 日 (月) 23 時 44 分 20 秒 (日本時間)
4511e61400 / 3689600Dmitry DomanovNovember 11, 2015 23:02:30 UTC 2015 年 11 月 12 日 (木) 8 時 2 分 30 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 10:14:29 UTC 2015 年 12 月 5 日 (土) 19 時 14 分 29 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:37:02 UTC 2015 年 12 月 11 日 (金) 15 時 37 分 2 秒 (日本時間)
5043e6200 / 7224100Dmitry DomanovDecember 26, 2015 21:50:55 UTC 2015 年 12 月 27 日 (日) 6 時 50 分 55 秒 (日本時間)
100Dmitry DomanovDecember 26, 2015 21:51:01 UTC 2015 年 12 月 27 日 (日) 6 時 51 分 1 秒 (日本時間)

10222+5399

c194

name 名前Erik Branger
date 日付September 1, 2019 20:13:22 UTC 2019 年 9 月 2 日 (月) 5 時 13 分 22 秒 (日本時間)
composite number 合成数
62462549074784400925995953660529560766604075582752227444691907743378919021176311209323688824577319365738693679668939708196018132981064764856070235320030764730984862041442658916741344476427053921<194>
prime factors 素因数
1298562251938680296217049715562989421198473<43>
22036344007457989050505208256788914284122529418606918528509526661<65>
2182817294321065416285445283365361308781948838124363275079305514849208657881317301421957<88>
factorization results 素因数分解の結果
Number: 11171_222
N = 62462549074784400925995953660529560766604075582752227444691907743378919021176311209323688824577319365738693679668939708196018132981064764856070235320030764730984862041442658916741344476427053921 (194 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1298562251938680296217049715562989421198473 (pp43)
r2=22036344007457989050505208256788914284122529418606918528509526661 (pp65)
r3=2182817294321065416285445283365361308781948838124363275079305514849208657881317301421957 (pp88)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.86 hours.
Factorization parameters were as follows:
n: 62462549074784400925995953660529560766604075582752227444691907743378919021176311209323688824577319365738693679668939708196018132981064764856070235320030764730984862041442658916741344476427053921
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 100
c0: 539
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 8816016 relations
Pruned matrix : 7627342 x 7627567
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.15 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 35.03 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 75.86 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:04 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 4 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:44:57 UTC 2015 年 2 月 16 日 (月) 23 時 44 分 57 秒 (日本時間)
4511e61356 / 4387556CypMay 20, 2015 03:10:18 UTC 2015 年 5 月 20 日 (水) 12 時 10 分 18 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 20:58:50 UTC 2015 年 12 月 5 日 (土) 5 時 58 分 50 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:37:16 UTC 2015 年 12 月 11 日 (金) 15 時 37 分 16 秒 (日本時間)

10223+5399

c199

name 名前Dmitry Domanov
date 日付December 5, 2015 10:08:47 UTC 2015 年 12 月 5 日 (土) 19 時 8 分 47 秒 (日本時間)
composite number 合成数
1374574994895786616511865239018185630478380615251590050811478431791736928599874521804141550388791615930694975313607702283664812460263598614444473422648659223461386754135291646994107691138959983414049<199>
prime factors 素因数
77699083313041488422432811736300014486641<41>
composite cofactor 合成数の残り
17691006589585717273096843938512645696755803658639283624078136340336694592085597795328527411289875548358176795897598342918773450244466590480288658279286983089<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1288462682
Step 1 took 86198ms
Step 2 took 26699ms
********** Factor found in step 2: 77699083313041488422432811736300014486641
Found probable prime factor of 41 digits: 77699083313041488422432811736300014486641

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:05 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 5 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:45:12 UTC 2015 年 2 月 16 日 (月) 23 時 45 分 12 秒 (日本時間)
4511e61356 / 3685556CypJune 3, 2015 06:05:30 UTC 2015 年 6 月 3 日 (水) 15 時 5 分 30 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 20:59:05 UTC 2015 年 12 月 5 日 (土) 5 時 59 分 5 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:37:37 UTC 2015 年 12 月 11 日 (金) 15 時 37 分 37 秒 (日本時間)
5043e6200 / 7233Dmitry DomanovDecember 26, 2015 21:51:57 UTC 2015 年 12 月 27 日 (日) 6 時 51 分 57 秒 (日本時間)

10224+5399

c197

name 名前Serge Batalov
date 日付December 11, 2014 01:33:10 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 10 秒 (日本時間)
composite number 合成数
57610247428887160848261304092583364273374432286098268152010749068155041308219035218062733111191771980977120035434571496133726337635819223233642277694117363979214126779684634169272354286388189945483<197>
prime factors 素因数
76805636080660070537042282105318635949<38>
composite cofactor 合成数の残り
750078384461080244805470420453361998264785831927810932495748945534966541617066448956403416217290868355084190991418359334043821979162267097242776021329092358167<159>
factorization results 素因数分解の結果
Input number is 57610247428887160848261304092583364273374432286098268152010749068155041308219035218062733111191771980977120035434571496133726337635819223233642277694117363979214126779684634169272354286388189945483 (197 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2885376015
Step 1 took 15418ms
Step 2 took 9910ms
********** Factor found in step 2: 76805636080660070537042282105318635949
Found probable prime factor of 38 digits: 76805636080660070537042282105318635949
Composite cofactor 750078384461080244805470420453361998264785831927810932495748945534966541617066448956403416217290868355084190991418359334043821979162267097242776021329092358167 has 159 digits

c159

name 名前Dmitry Domanov
date 日付November 12, 2015 21:45:00 UTC 2015 年 11 月 13 日 (金) 6 時 45 分 0 秒 (日本時間)
composite number 合成数
750078384461080244805470420453361998264785831927810932495748945534966541617066448956403416217290868355084190991418359334043821979162267097242776021329092358167<159>
prime factors 素因数
22768747704019994039704197295466241260993<41>
32943330665860391253784552342700489639020837452144697812017154716618456899639403265787058576765090996208701981531100119<119>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=951571753
Step 1 took 51990ms
Step 2 took 19447ms
********** Factor found in step 2: 22768747704019994039704197295466241260993
Found probable prime factor of 41 digits: 22768747704019994039704197295466241260993

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:05 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 5 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovNovember 12, 2015 17:48:16 UTC 2015 年 11 月 13 日 (金) 2 時 48 分 16 秒 (日本時間)

10225+5399

c184

composite cofactor 合成数の残り
9511969921614360245771497876674371950375430032933870535188054276345420444433058962055892505814831891022874977150565901430542631097612389823202766353154592032784260182444551034450002501<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 7, 2014 15:53:58 UTC 2014 年 12 月 8 日 (月) 0 時 53 分 58 秒 (日本時間)
4511e61391 / 4413591CypFebruary 6, 2015 19:34:52 UTC 2015 年 2 月 7 日 (土) 4 時 34 分 52 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 20:59:18 UTC 2015 年 12 月 5 日 (土) 5 時 59 分 18 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:37:53 UTC 2015 年 12 月 11 日 (金) 15 時 37 分 53 秒 (日本時間)

10226+5399

c189

name 名前Cyp
date 日付June 26, 2015 06:05:13 UTC 2015 年 6 月 26 日 (金) 15 時 5 分 13 秒 (日本時間)
composite number 合成数
986113609774308763927587340264748053230443357279470728703343509124831247650706551644791217885269253686531323112083721341874295522886983545447404738520391996775791182713959989222420856267381<189>
prime factors 素因数
143056698604200999628623962208599933257<39>
1759300187743952861314603829185189278971<40>
3918129674416100511142823920576508964452655802044418579121264204199651669365679142714964071646705359904602046423<112>
factorization results 素因数分解の結果
Run 474 out of 562:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2757194055
Step 1 took 59150ms
Step 2 took 18970ms
********** Factor found in step 2: 1759300187743952861314603829185189278971
Found probable prime factor of 40 digits: 1759300187743952861314603829185189278971
Composite cofactor 560514695925120283116987467368535201795716516517541339046832237167964567926490449013863107742335762551474369381354463110743561192778338696983415589711 has 150 digits
--
Run 546 out of 562:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1517019024
Step 1 took 42207ms
Step 2 took 15553ms
********** Factor found in step 2: 143056698604200999628623962208599933257
Found probable prime factor of 39 digits: 143056698604200999628623962208599933257
Probable prime cofactor 3918129674416100511142823920576508964452655802044418579121264204199651669365679142714964071646705359904602046423 has 112 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380 / 434280CypDecember 8, 2014 09:19:24 UTC 2014 年 12 月 8 日 (月) 18 時 19 分 24 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:45:41 UTC 2015 年 2 月 16 日 (月) 23 時 45 分 41 秒 (日本時間)
4511e6546 / 4391CypJune 26, 2015 06:05:12 UTC 2015 年 6 月 26 日 (金) 15 時 5 分 12 秒 (日本時間)

10228+5399

c213

composite cofactor 合成数の残り
623777899489362941252133571657201773687344467906992553338767002101581601934717479688731268275369297291660940195784811315773520648269626135277150506613010219239067819905186956346691485127000037992488712912697914599<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:06 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 6 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:45:56 UTC 2015 年 2 月 16 日 (月) 23 時 45 分 56 秒 (日本時間)
4511e61449 / 4387329CypJanuary 7, 2015 02:44:21 UTC 2015 年 1 月 7 日 (水) 11 時 44 分 21 秒 (日本時間)
320Dmitry DomanovNovember 12, 2015 20:40:22 UTC 2015 年 11 月 13 日 (金) 5 時 40 分 22 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 21:00:28 UTC 2015 年 12 月 5 日 (土) 6 時 0 分 28 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:20:22 UTC 2015 年 12 月 11 日 (金) 18 時 20 分 22 秒 (日本時間)

10229+5399

c204

composite cofactor 合成数の残り
816959778049892483267241856351473457008667886773302375865153596361068661698605239882505392874052394076871900181007081764825222363842426981337780849247419623323357781236739907040217797610304037758536920969<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:06 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 6 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:46:10 UTC 2015 年 2 月 16 日 (月) 23 時 46 分 10 秒 (日本時間)
4511e61356 / 438728CypDecember 29, 2014 09:41:24 UTC 2014 年 12 月 29 日 (月) 18 時 41 分 24 秒 (日本時間)
528CypJune 30, 2015 07:13:25 UTC 2015 年 6 月 30 日 (火) 16 時 13 分 25 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 21:00:46 UTC 2015 年 12 月 5 日 (土) 6 時 0 分 46 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:20:36 UTC 2015 年 12 月 11 日 (金) 18 時 20 分 36 秒 (日本時間)

10230+5399

c226

composite cofactor 合成数の残り
3653768862581753078300266725126968467974715919470934268698162154262121378201614965837261134860608717892506120062844824436406152946764587672183857649165113814900069421608389053308487705067777412400891519602469947751105265080931<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:57:50 UTC 2014 年 12 月 9 日 (火) 9 時 57 分 50 秒 (日本時間)
4511e62000 / 39621000Serge BatalovDecember 18, 2014 00:18:46 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 46 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:43 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 43 秒 (日本時間)

10231+5399

c197

composite cofactor 合成数の残り
40718365354044859697794204247346686697539893254192936785612840115348625178439304544950657289009903320455813024046012311304805368710778251620319601149576135224458191267015076732339629974137025448563<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:07 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 7 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:46:42 UTC 2015 年 2 月 16 日 (月) 23 時 46 分 42 秒 (日本時間)
4511e61356 / 4387556CypJuly 3, 2015 06:05:44 UTC 2015 年 7 月 3 日 (金) 15 時 5 分 44 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 20:59:37 UTC 2015 年 12 月 5 日 (土) 5 時 59 分 37 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:38:12 UTC 2015 年 12 月 11 日 (金) 15 時 38 分 12 秒 (日本時間)

10232+5399

c198

name 名前Cyp
date 日付December 9, 2014 23:02:45 UTC 2014 年 12 月 10 日 (水) 8 時 2 分 45 秒 (日本時間)
composite number 合成数
135057597105503911870211385064395869700651618890004795144763806910483723173296898490551566871411482613659608997474977300349984106109847990954229820124746067749472201280805288601633943836272258268911<198>
prime factors 素因数
537251676143600752647192614344592183<36>
composite cofactor 合成数の残り
251386087941035442087379071214991424083541511260496908465379716674466469283373693212472148016993730364258383647575797229012367974821430177392387860825240827524617<162>
factorization results 素因数分解の結果
Run 195 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3063064766
Step 1 took 18975ms
Step 2 took 6081ms
********** Factor found in step 2: 537251676143600752647192614344592183
Found probable prime factor of 36 digits: 537251676143600752647192614344592183
Composite cofactor 251386087941035442087379071214991424083541511260496908465379716674466469283373693212472148016993730364258383647575797229012367974821430177392387860825240827524617 has 162 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 23:02:44 UTC 2014 年 12 月 10 日 (水) 8 時 2 分 44 秒 (日本時間)
4511e656001000Serge BatalovDecember 18, 2014 00:18:29 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 29 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:46:55 UTC 2015 年 2 月 16 日 (月) 23 時 46 分 55 秒 (日本時間)
4500Alfred ReichFebruary 17, 2015 21:33:55 UTC 2015 年 2 月 18 日 (水) 6 時 33 分 55 秒 (日本時間)

10233+5399

c203

composite cofactor 合成数の残り
22280363537893643280526836752901156078018382374141320360176117009635253919228064294665337479688514496217915763951875484544266518833193880432351749451692988320215014358451391092277702039300876918104418351<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 10, 2014 20:59:49 UTC 2014 年 12 月 11 日 (木) 5 時 59 分 49 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:56:09 UTC 2015 年 2 月 16 日 (月) 23 時 56 分 9 秒 (日本時間)
4511e61362 / 4391562CypMay 25, 2015 22:18:49 UTC 2015 年 5 月 26 日 (火) 7 時 18 分 49 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 21:01:12 UTC 2015 年 12 月 5 日 (土) 6 時 1 分 12 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:21:05 UTC 2015 年 12 月 11 日 (金) 18 時 21 分 5 秒 (日本時間)

10235+5399

c195

composite cofactor 合成数の残り
166005424139229834394752337205959263806802654446838240783411671566141394015990154338802353145921955534926050175220153701294326720340804802211659631611022845195652917605254951612438263142484667013<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:07 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 7 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:56:27 UTC 2015 年 2 月 16 日 (月) 23 時 56 分 27 秒 (日本時間)
4511e61356 / 4387556CypJuly 5, 2015 09:06:37 UTC 2015 年 7 月 5 日 (日) 18 時 6 分 37 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 21:01:29 UTC 2015 年 12 月 5 日 (土) 6 時 1 分 29 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 06:38:34 UTC 2015 年 12 月 11 日 (金) 15 時 38 分 34 秒 (日本時間)

10236+5399

c222

composite cofactor 合成数の残り
463273267595568492109037969861728455833476866989182675944580677117144856479721078167798959568515885323041052209691302172451209222824228470865445936918368637242690455431202122803631170994849320306322705922145579231534500377<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 7, 2014 03:00:31 UTC 2014 年 12 月 7 日 (日) 12 時 0 分 31 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:56:42 UTC 2015 年 2 月 16 日 (月) 23 時 56 分 42 秒 (日本時間)
4511e61362 / 4391562CypJune 9, 2015 08:15:37 UTC 2015 年 6 月 9 日 (火) 17 時 15 分 37 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 21:01:44 UTC 2015 年 12 月 5 日 (土) 6 時 1 分 44 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:21:31 UTC 2015 年 12 月 11 日 (金) 18 時 21 分 31 秒 (日本時間)

10237+5399

c202

composite cofactor 合成数の残り
4800485870750841325482016740776757508481649431109954157575191707569080186689624210419259013911911585590238728265341260884722578914883324054078246320624683243691074419924442205277326275935235383178611141<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6380280CypDecember 9, 2014 17:21:13 UTC 2014 年 12 月 10 日 (水) 2 時 21 分 13 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:56:59 UTC 2015 年 2 月 16 日 (月) 23 時 56 分 59 秒 (日本時間)
4511e61362 / 4391335CypDecember 29, 2014 04:44:19 UTC 2014 年 12 月 29 日 (月) 13 時 44 分 19 秒 (日本時間)
227CypJune 30, 2015 05:23:59 UTC 2015 年 6 月 30 日 (火) 14 時 23 分 59 秒 (日本時間)
600Dmitry DomanovDecember 4, 2015 21:02:00 UTC 2015 年 12 月 5 日 (土) 6 時 2 分 0 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:21:46 UTC 2015 年 12 月 11 日 (金) 18 時 21 分 46 秒 (日本時間)

10238+5399

c211

name 名前Serge Batalov
date 日付December 11, 2014 01:33:13 UTC 2014 年 12 月 11 日 (木) 10 時 33 分 13 秒 (日本時間)
composite number 合成数
2687293309890930697555790907886938099612875109754972941653643138330797737435923199691550879847199372721766627062628908340228632013987915754637821092294846619471881556428552763560320526633129285279210298076332879<211>
prime factors 素因数
458006215601540320639428723254561<33>
composite cofactor 合成数の残り
5867373014493851907896113937367488858666864852383573533668728372648551032570217880912719307677400581748505768640758508313363986970939350817551217384982840475853952110743260605039<178>
factorization results 素因数分解の結果
Input number is 2687293309890930697555790907886938099612875109754972941653643138330797737435923199691550879847199372721766627062628908340228632013987915754637821092294846619471881556428552763560320526633129285279210298076332879 (211 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3984819839
Step 1 took 16073ms
Step 2 took 10536ms
********** Factor found in step 2: 458006215601540320639428723254561
Found probable prime factor of 33 digits: 458006215601540320639428723254561
Composite cofactor 5867373014493851907896113937367488858666864852383573533668728372648551032570217880912719307677400581748505768640758508313363986970939350817551217384982840475853952110743260605039 has 178 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:07 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 7 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:57:13 UTC 2015 年 2 月 16 日 (月) 23 時 57 分 13 秒 (日本時間)
4511e61356 / 4387556CypMay 23, 2015 21:39:25 UTC 2015 年 5 月 24 日 (日) 6 時 39 分 25 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 12:16:22 UTC 2015 年 12 月 5 日 (土) 21 時 16 分 22 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:22:01 UTC 2015 年 12 月 11 日 (金) 18 時 22 分 1 秒 (日本時間)

10241+5399

c175

composite cofactor 合成数の残り
9340542064356594917314536467193523322394336135891439213905543792730735706297152539277373694194648334318882912414384432421051450390402935248162684581761366924228612158573601721<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:08 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 8 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:57:40 UTC 2015 年 2 月 16 日 (月) 23 時 57 分 40 秒 (日本時間)
4511e61400 / 4387600Dmitry DomanovNovember 12, 2015 21:46:25 UTC 2015 年 11 月 13 日 (金) 6 時 46 分 25 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 12:17:53 UTC 2015 年 12 月 5 日 (土) 21 時 17 分 53 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:22:17 UTC 2015 年 12 月 11 日 (金) 18 時 22 分 17 秒 (日本時間)

10242+5399

c220

composite cofactor 合成数の残り
5930660274777151274064961681721251837257035256710789802416164430836449444975802471026112006974331489256323749388951143349489563238702795959106405616337872077255983642626915064290270441602169533066771442420569405597164343<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:08 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 8 秒 (日本時間)
4511e61385 / 4409585CypFebruary 8, 2015 19:56:07 UTC 2015 年 2 月 9 日 (月) 4 時 56 分 7 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 12:18:09 UTC 2015 年 12 月 5 日 (土) 21 時 18 分 9 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:22:32 UTC 2015 年 12 月 11 日 (金) 18 時 22 分 32 秒 (日本時間)

10243+5399

c210

name 名前Dmitry Domanov
date 日付December 11, 2015 13:44:06 UTC 2015 年 12 月 11 日 (金) 22 時 44 分 6 秒 (日本時間)
composite number 合成数
249518249215644496127822779525550028558217491027301115445261721048660738623758625423135143538238761026810161728181980940353773214923018051592385769694223797700925838127333714763317316476286598172574253340035169<210>
prime factors 素因数
919345887488562914514728493623465076436624825337580247<54>
composite cofactor 合成数の残り
271408457481949216700520139856757148911673550021044151746177866339535406182115351618743646267242233958940184279869003804191427124627588607695440013607835527<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1339473680
Step 1 took 103931ms
Step 2 took 34846ms
********** Factor found in step 2: 919345887488562914514728493623465076436624825337580247
Found probable prime factor of 54 digits: 919345887488562914514728493623465076436624825337580247
Composite cofactor 271408457481949216700520139856757148911673550021044151746177866339535406182115351618743646267242233958940184279869003804191427124627588607695440013607835527 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovDecember 10, 2014 19:47:09 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 9 秒 (日本時間)
4511e64585585CypFebruary 10, 2015 17:25:00 UTC 2015 年 2 月 11 日 (水) 2 時 25 分 0 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 12:18:33 UTC 2015 年 12 月 5 日 (土) 21 時 18 分 33 秒 (日本時間)
200Dmitry DomanovDecember 11, 2015 09:22:47 UTC 2015 年 12 月 11 日 (金) 18 時 22 分 47 秒 (日本時間)
3200Lionel DebrouxJanuary 3, 2018 15:35:09 UTC 2018 年 1 月 4 日 (木) 0 時 35 分 9 秒 (日本時間)
5043e66000 / 6512yoyo@HomeMarch 10, 2022 23:50:33 UTC 2022 年 3 月 11 日 (金) 8 時 50 分 33 秒 (日本時間)

10246+5399

c241

composite cofactor 合成数の残り
2047715875326866646599051088463373529995965999725606072706199869355727154145907946980540556036768786257369217506332561344448335104607565491072982641512524854151436779843923095982586224196220326037321669543707471500914305138333445957706476311<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e62320Serge BatalovDecember 9, 2014 00:58:00 UTC 2014 年 12 月 9 日 (火) 9 時 58 分 0 秒 (日本時間)
4511e630001000Serge BatalovDecember 18, 2014 00:19:04 UTC 2014 年 12 月 18 日 (木) 9 時 19 分 4 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:54 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 54 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:25:02 UTC 2014 年 12 月 21 日 (日) 19 時 25 分 2 秒 (日本時間)
5043e6280 / 6792CypDecember 24, 2014 22:11:18 UTC 2014 年 12 月 25 日 (木) 7 時 11 分 18 秒 (日本時間)

10247+5399

c232

composite cofactor 合成数の残り
7341728688940509693030872680342824182960441618268854883789278278231283260673268268044861739571355980813876606376027480933244245415985656116204041910946267251924938211888845148123366352565228251220505523770166997995540361792388511451<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:09 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 9 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:58:34 UTC 2015 年 2 月 16 日 (月) 23 時 58 分 34 秒 (日本時間)
4511e61356 / 4387282CypJanuary 8, 2015 17:40:17 UTC 2015 年 1 月 9 日 (金) 2 時 40 分 17 秒 (日本時間)
274CypMay 30, 2015 04:53:17 UTC 2015 年 5 月 30 日 (土) 13 時 53 分 17 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:01:04 UTC 2015 年 12 月 6 日 (日) 0 時 1 分 4 秒 (日本時間)

10248+5399

c180

name 名前Cyp
date 日付January 30, 2015 05:44:19 UTC 2015 年 1 月 30 日 (金) 14 時 44 分 19 秒 (日本時間)
composite number 合成数
571426285819070743486757220643786689500633910461958740208943899317797952771791885572099370776144312793628193733874065918693307110332638143642986443220645108733493001772350512566051<180>
prime factors 素因数
24899860558824940080204340925765197811<38>
composite cofactor 合成数の残り
22948975335387868718400190429162976476334238389624757863985855874199749233918587420625705478007369837407300111876601681823882566528859100237841<143>
factorization results 素因数分解の結果
Run 509 out of 591:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2693391024
Step 1 took 59055ms
Step 2 took 18866ms
********** Factor found in step 2: 24899860558824940080204340925765197811
Found probable prime factor of 38 digits: 24899860558824940080204340925765197811
Composite cofactor 22948975335387868718400190429162976476334238389624757863985855874199749233918587420625705478007369837407300111876601681823882566528859100237841 has 143 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c143

name 名前Maksym Voznyy
date 日付February 2, 2017 15:34:52 UTC 2017 年 2 月 3 日 (金) 0 時 34 分 52 秒 (日本時間)
composite number 合成数
22948975335387868718400190429162976476334238389624757863985855874199749233918587420625705478007369837407300111876601681823882566528859100237841<143>
prime factors 素因数
43396033975958099582123597254994444969053836520465279597603<59>
528826559314195951541569406060580330221826466503694400730555729327583282861333183547<84>
factorization results 素因数分解の結果
# Murphy_E = 1.88932406e-11, selected by Maksym Voznyy
# selected by CADO-NFS
n: 22948975335387868718400190429162976476334238389624757863985855874199749233918587420625705478007369837407300111876601681823882566528859100237841
Y0: -6666547466174664649567629184
Y1: 39564564477682246087
c0: -8565331653039820550086825674413355
c1: 59518780965338773694924992779
c2: 104316886353771088851593
c3: -74367411236692787
c4: -28454527950
c5: 5400
skew: 1771428.73627
type: gnfs

Msieve v. 1.53 (SVN unknown)
random seeds: 99058ca0 b5a70ad3
factoring 22948975335387868718400190429162976476334238389624757863985855874199749233918587420625705478007369837407300111876601681823882566528859100237841 (143 digits)
searching for 15-digit factors
commencing number field sieve (143-digit input)
R0: -6666547466174664649567629184
R1: 39564564477682246087
A0: -8565331653039820550086825674413355
A1: 59518780965338773694924992779
A2: 104316886353771088851593
A3: -74367411236692787
A4: -28454527950
A5: 5400
skew 1771428.74, size 1.175e-13, alpha -7.077, combined = 1.889e-11 rroots = 5

factmsieve.py (v0.76)
This is client 1 of 1
Running on 6 Cores with 1 hyper-thread per Core
Working with NAME = c143_5
Selected lattice siever: gnfs-lasieve4I14e
Creating param file to detect parameter changes...
Running setup ...
Estimated minimum relations needed: 2.376e+07
cleaning up before a restart
Running lattice siever ...
entering sieving loop
making sieve job for q = 7150000 in 7150000 .. 7155000 as file c143_5.job.T0
making sieve job for q = 7155000 in 7155000 .. 7160000 as file c143_5.job.T1
making sieve job for q = 7160000 in 7160000 .. 7165000 as file c143_5.job.T2
making sieve job for q = 7165000 in 7165000 .. 7170000 as file c143_5.job.T3
making sieve job for q = 7170000 in 7170000 .. 7175000 as file c143_5.job.T4
making sieve job for q = 7175000 in 7175000 .. 7180000 as file c143_5.job.T5
Lattice sieving algebraic q from 7150000 to 7180000.
gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a c143_5.job.T0
gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a c143_5.job.T1
gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a c143_5.job.T2
gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a c143_5.job.T3
gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a c143_5.job.T4
gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a c143_5.job.T5
Found 99101 relations, 0.4% of the estimated minimum (23760000).
LatSieveTime: 691.05
...
making sieve job for q = 14590000 in 14590000 .. 14595000 as file c143_5.job.T0
making sieve job for q = 14595000 in 14595000 .. 14600000 as file c143_5.job.T1
making sieve job for q = 14600000 in 14600000 .. 14605000 as file c143_5.job.T2
making sieve job for q = 14605000 in 14605000 .. 14610000 as file c143_5.job.T3
making sieve job for q = 14610000 in 14610000 .. 14615000 as file c143_5.job.T4
making sieve job for q = 14615000 in 14615000 .. 14620000 as file c143_5.job.T5
Lattice sieving algebraic q from 14590000 to 14620000.
gnfs-lasieve4I14e -k -o spairs.out.T0 -v -n0 -a c143_5.job.T0
gnfs-lasieve4I14e -k -o spairs.out.T1 -v -n1 -a c143_5.job.T1
gnfs-lasieve4I14e -k -o spairs.out.T2 -v -n2 -a c143_5.job.T2
gnfs-lasieve4I14e -k -o spairs.out.T3 -v -n3 -a c143_5.job.T3
gnfs-lasieve4I14e -k -o spairs.out.T4 -v -n4 -a c143_5.job.T4
gnfs-lasieve4I14e -k -o spairs.out.T5 -v -n5 -a c143_5.job.T5
Found 23763266 relations, 100.0% of the estimated minimum (23760000).

commencing relation filtering
estimated available RAM is 7934.2 MB
commencing duplicate removal, pass 1
skipped 5 relations with composite factors
found 2885320 hash collisions in 23763257 relations
added 121914 free relations
commencing duplicate removal, pass 2
found 2318932 duplicates and 21566239 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 689.0 MB
reading all ideals from disk
memory use: 713.3 MB
keeping 22728893 ideals with weight <= 200, target excess is 129742
commencing in-memory singleton removal
begin with 21566239 relations and 22728893 unique ideals
reduce to 10039934 relations and 9492005 ideals in 19 passes
max relations containing the same ideal: 121
removing 1524844 relations and 1326130 ideals in 198714 cliques
commencing in-memory singleton removal
begin with 8515090 relations and 9492005 unique ideals
reduce to 8321437 relations and 7967148 ideals in 10 passes
max relations containing the same ideal: 104
removing 1157720 relations and 959006 ideals in 198714 cliques
commencing in-memory singleton removal
begin with 7163717 relations and 7967148 unique ideals
reduce to 7025767 relations and 6866823 ideals in 10 passes
max relations containing the same ideal: 93
removing 85559 relations and 77116 ideals in 8443 cliques
commencing in-memory singleton removal
begin with 6940208 relations and 6866823 unique ideals
reduce to 6939476 relations and 6788974 ideals in 6 passes
max relations containing the same ideal: 92
relations with 0 large ideals: 462
relations with 1 large ideals: 868
relations with 2 large ideals: 14855
relations with 3 large ideals: 119161
relations with 4 large ideals: 510894
relations with 5 large ideals: 1276398
relations with 6 large ideals: 1930380
relations with 7+ large ideals: 3086458
commencing 2-way merge
reduce to 4118770 relation sets and 3968268 unique ideals
commencing full merge
memory use: 473.5 MB
found 2136675 cycles, need 2116468
weight of 2116468 cycles is about 148336512 (70.09/cycle)
distribution of cycle lengths:
1 relations: 283873
2 relations: 261729
3 relations: 259576
4 relations: 230738
5 relations: 201844
6 relations: 172678
7 relations: 148403
8 relations: 123523
9 relations: 101945
10+ relations: 332159
heaviest cycle: 21 relations
commencing cycle optimization
start with 11600765 relations
pruned 238053 relations
memory use: 399.4 MB
distribution of cycle lengths:
1 relations: 283873
2 relations: 267480
3 relations: 267979
4 relations: 235061
5 relations: 205425
6 relations: 173855
7 relations: 148761
8 relations: 122591
9 relations: 100431
10+ relations: 311012
heaviest cycle: 20 relations
RelProcTime: 973
elapsed time 00:16:15
LatSieveTime: 1684.84
Running matrix solving step ...

commencing linear algebra
read 2116468 cycles
cycles contain 6802488 unique relations
read 6802488 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 885.7 MB
read 2116468 cycles
matrix is 2116288 x 2116468 (636.4 MB) with weight 198917110 (93.99/col)
sparse part has weight 143539258 (67.82/col)
filtering completed in 2 passes
matrix is 2114059 x 2114239 (636.2 MB) with weight 198838013 (94.05/col)
sparse part has weight 143519672 (67.88/col)
matrix starts at (0, 0)
matrix is 2114059 x 2114239 (636.2 MB) with weight 198838013 (94.05/col)
sparse part has weight 143519672 (67.88/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2114011 x 2114239 (615.0 MB) with weight 158525464 (74.98/col)
sparse part has weight 140081925 (66.26/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 491.2 MB
linear algebra at 0.1%, ETA 3h51m
checkpointing every 570000 dimensions
lanczos halted after 33430 iterations (dim = 2114011)
recovered 28 nontrivial dependencies
BLanczosTime: 13934
elapsed time 03:52:15
Running square root step ...

commencing square root phase
reading relations for dependency 1
read 1056822 cycles
cycles contain 3399494 unique relations
read 3399494 relations
multiplying 3399494 relations
multiply complete, coefficients have about 160.08 million bits
initial square root is modulo 556027
GCD is 1, no factor found
reading relations for dependency 2
read 1057032 cycles
cycles contain 3402434 unique relations
read 3402434 relations
multiplying 3402434 relations
multiply complete, coefficients have about 160.22 million bits
initial square root is modulo 562577
sqrtTime: 1016
p59 factor: 43396033975958099582123597254994444969053836520465279597603
p84 factor: 528826559314195951541569406060580330221826466503694400730555729327583282861333183547
elapsed time 00:16:59
Computing 1.48601e+09 scale for this machine...
procrels -speedtest> PIPE
Factorization summary written to g143-c143_5.txt

Number: c143_5
N = 22948975335387868718400190429162976476334238389624757863985855874199749233918587420625705478007369837407300111876601681823882566528859100237841 (143 digits)
Total time: 54.27 hours.
Factorization parameters were as follows:
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23763266
Relations: 3402434 relations
Pruned matrix : 2114011 x 2114239
Polynomial selection time: 0.00 hours.
Total sieving time: 49.85 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.87 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,14300000,14300000,28,28,56,56,2.5,2.5,100000
total time: 54.27 hours.
AMD64 Family 16 Model 10 Stepping 0, AuthenticAMD
Windows-7-6.1.7601-SP1
processors: 6, speed: 3.20GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6280CypDecember 9, 2014 18:41:47 UTC 2014 年 12 月 10 日 (水) 3 時 41 分 47 秒 (日本時間)
4511e63367591CypJanuary 30, 2015 05:44:19 UTC 2015 年 1 月 30 日 (金) 14 時 44 分 19 秒 (日本時間)
600Dmitry DomanovDecember 5, 2015 14:10:15 UTC 2015 年 12 月 5 日 (土) 23 時 10 分 15 秒 (日本時間)
2176Ignacio SantosFebruary 2, 2016 17:05:22 UTC 2016 年 2 月 3 日 (水) 2 時 5 分 22 秒 (日本時間)
5043e6300 / 6787Dmitry DomanovDecember 11, 2015 09:32:39 UTC 2015 年 12 月 11 日 (金) 18 時 32 分 39 秒 (日本時間)

10249+5399

c213

composite cofactor 合成数の残り
355787810220309041773737523356752929030910704717674439264521699841973305633363765905597351431310596122427741611770915971628798190716665688980374742265139992226570710014861412579684750518517061266127130870889350861<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e6400300Serge BatalovDecember 10, 2014 19:47:10 UTC 2014 年 12 月 11 日 (木) 4 時 47 分 10 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:59:06 UTC 2015 年 2 月 16 日 (月) 23 時 59 分 6 秒 (日本時間)
4511e61356 / 4387556CypMay 29, 2015 11:43:47 UTC 2015 年 5 月 29 日 (金) 20 時 43 分 47 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:01:33 UTC 2015 年 12 月 6 日 (日) 0 時 1 分 33 秒 (日本時間)

10250+5399

c234

name 名前Cyp
date 日付December 8, 2014 09:03:55 UTC 2014 年 12 月 8 日 (月) 18 時 3 分 55 秒 (日本時間)
composite number 合成数
649428987169288795587036604235235553180743868946769716982847135276943251689688887952340371468872361690529486207237426200640461528221263173939907251892838790199015908636897949476791253282393737022854145250902152330481402610557364584763<234>
prime factors 素因数
154131473905673669982765589501<30>
composite cofactor 合成数の残り
4213474190006969975209174345756465001885501013334231685266098259579947931257059316467584974499745649936681909477634832721811910816855024940136807091325626387190313351073248327390137751570328674171647546263<205>
factorization results 素因数分解の結果
Run 3 out of 280:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2016274817
Step 1 took 24698ms
Step 2 took 7438ms
********** Factor found in step 2: 154131473905673669982765589501
Found probable prime factor of 30 digits: 154131473905673669982765589501
Composite cofactor 4213474190006969975209174345756465001885501013334231685266098259579947931257059316467584974499745649936681909477634832721811910816855024940136807091325626387190313351073248327390137751570328674171647546263 has 205 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 6, 2014 04:00:00 UTC 2014 年 12 月 6 日 (土) 13 時 0 分 0 秒 (日本時間)
403e61380280CypDecember 8, 2014 09:03:55 UTC 2014 年 12 月 8 日 (月) 18 時 3 分 55 秒 (日本時間)
1000Dmitry DomanovDecember 16, 2014 11:49:02 UTC 2014 年 12 月 16 日 (火) 20 時 49 分 2 秒 (日本時間)
100Alfred ReichFebruary 16, 2015 14:59:23 UTC 2015 年 2 月 16 日 (月) 23 時 59 分 23 秒 (日本時間)
4511e6600 / 2767Dmitry DomanovApril 23, 2015 12:47:25 UTC 2015 年 4 月 23 日 (木) 21 時 47 分 25 秒 (日本時間)
5043e6400 / 7366Dmitry DomanovJune 25, 2015 00:35:36 UTC 2015 年 6 月 25 日 (木) 9 時 35 分 36 秒 (日本時間)

10251+5399

c206

name 名前Dmitry Domanov
date 日付November 7, 2015 20:19:38 UTC 2015 年 11 月 8 日 (日) 5 時 19 分 38 秒 (日本時間)
composite number 合成数
34473955042567365307288951024138600292406496933382595768640314107544496319835647515381337774805680160534567488091253765712033530129047525875269750134328638093411952104953021588667516809391128257471754888791<206>
prime factors 素因数
7243438848352695472715364755985899<34>
4759335415720040224329452970766368820000797248374014656299841257270760475775114239550924218710931865908190873524193083728002657481063649485969420370840409590532159553354309<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3535072743
Step 1 took 34036ms
Step 2 took 11944ms
********** Factor found in step 2: 7243438848352695472715364755985899
Found probable prime factor of 34 digits: 7243438848352695472715364755985899

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovNovember 7, 2015 17:20:19 UTC 2015 年 11 月 8 日 (日) 2 時 20 分 19 秒 (日本時間)

10252+5399

c243

composite cofactor 合成数の残り
717405255213163925572025609097740882457692260804355762164251587517572402315727632293982354429163590549510666591892951726309017032145581481627329969866317707550274287811052202885130318103007007929473829223803950872268909126848094136930439440197<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:20:37 UTC 2015 年 11 月 8 日 (日) 2 時 20 分 37 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 12, 2015 21:46:52 UTC 2015 年 11 月 13 日 (金) 6 時 46 分 52 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:36:44 UTC 2015 年 12 月 6 日 (日) 0 時 36 分 44 秒 (日本時間)

10253+5399

c245

composite cofactor 合成数の残り
42724645856799043983070393258960064260943543127451681704652529790581773085876798792505804880139787179908608820888513441790957681609983259501086451428189421409302094490741084318101172499719437931819864877924172495066723998014448988167806669165973<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:20:52 UTC 2015 年 11 月 8 日 (日) 2 時 20 分 52 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 12, 2015 21:47:06 UTC 2015 年 11 月 13 日 (金) 6 時 47 分 6 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:37:03 UTC 2015 年 12 月 6 日 (日) 0 時 37 分 3 秒 (日本時間)

10255+5399

c252

composite cofactor 合成数の残り
649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141000649772579597141001<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 29, 2015 07:30:36 UTC 2015 年 10 月 29 日 (木) 16 時 30 分 36 秒 (日本時間)
4511e62200 / 4346600Dmitry DomanovNovember 12, 2015 21:47:24 UTC 2015 年 11 月 13 日 (金) 6 時 47 分 24 秒 (日本時間)
1600Dmitry DomanovDecember 5, 2015 15:37:18 UTC 2015 年 12 月 6 日 (日) 0 時 37 分 18 秒 (日本時間)

10256+5399

c248

composite cofactor 合成数の残り
18913247771351302057293632905636146133670388591456317449452610040580623769919009368868307341358122231179725499211912389577059702660557392589854963021848729457472863541611445893564249411941262162842492131252015903976049049813467999288808926703431259<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:21:12 UTC 2015 年 11 月 8 日 (日) 2 時 21 分 12 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 12, 2015 21:47:35 UTC 2015 年 11 月 13 日 (金) 6 時 47 分 35 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:37:32 UTC 2015 年 12 月 6 日 (日) 0 時 37 分 32 秒 (日本時間)

10257+5399

c227

name 名前Dmitry Domanov
date 日付November 7, 2015 19:42:01 UTC 2015 年 11 月 8 日 (日) 4 時 42 分 1 秒 (日本時間)
composite number 合成数
57640270236734694766070598938000289676659499436490790631999004545643194916938676776033062208396922513338055928945533293669871531633761895232388283410418540332063511943934954844592486013776874713041443759516956348093656761950433<227>
prime factors 素因数
147638740164268528975831054082571023<36>
composite cofactor 合成数の残り
390414265067569106538303140889171835207247368356590975616924595299166383821316285685287772999217215612801111911675299659517518376974063058493818252767387848270030172397487534762620992079078671<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=75139873
Step 1 took 38532ms
Step 2 took 11983ms
********** Factor found in step 2: 147638740164268528975831054082571023
Found probable prime factor of 36 digits: 147638740164268528975831054082571023

c192

name 名前Dmitry Domanov
date 日付November 13, 2015 09:55:28 UTC 2015 年 11 月 13 日 (金) 18 時 55 分 28 秒 (日本時間)
composite number 合成数
390414265067569106538303140889171835207247368356590975616924595299166383821316285685287772999217215612801111911675299659517518376974063058493818252767387848270030172397487534762620992079078671<192>
prime factors 素因数
23359661956774464949024756362937458379<38>
composite cofactor 合成数の残り
16713181286184933242509822156228754696464029869313865633733514072081153019898972915716895403234543702507404886806537331695522176001659118790718039150863949<155>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1835485235
Step 1 took 116229ms
Step 2 took 36139ms
********** Factor found in step 2: 23359661956774464949024756362937458379
Found probable prime factor of 38 digits: 23359661956774464949024756362937458379

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:21:48 UTC 2015 年 11 月 8 日 (日) 2 時 21 分 48 秒 (日本時間)
4511e64500600Dmitry DomanovNovember 12, 2015 21:47:47 UTC 2015 年 11 月 13 日 (金) 6 時 47 分 47 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:44:27 UTC 2015 年 12 月 6 日 (日) 0 時 44 分 27 秒 (日本時間)
3100Lionel DebrouxJanuary 3, 2018 15:37:47 UTC 2018 年 1 月 4 日 (木) 0 時 37 分 47 秒 (日本時間)

10258+5399

c235

name 名前Dmitry Domanov
date 日付November 7, 2015 18:16:10 UTC 2015 年 11 月 8 日 (日) 3 時 16 分 10 秒 (日本時間)
composite number 合成数
4214723303668439524877217977199895534975238902937082474667665943350665985050431159788580206555913628814645307721498163163224082034305561251620872959497179206251973787520513333806605713177224994338928148751773453174357500756302618529687<235>
prime factors 素因数
2372610576812015893592538643<28>
composite cofactor 合成数の残り
1776407533903687856548565345692486137138855734142484257270383389146309480333602079487076023275574763489712488826312133421272219149123611084871930398412706351209176600303035904369105800862353006001713397123309<208>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3503121723
Step 1 took 47033ms
Step 2 took 12938ms
********** Factor found in step 2: 2372610576812015893592538643
Found probable prime factor of 28 digits: 2372610576812015893592538643

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:22:08 UTC 2015 年 11 月 8 日 (日) 2 時 22 分 8 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 12, 2015 21:48:01 UTC 2015 年 11 月 13 日 (金) 6 時 48 分 1 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:37:55 UTC 2015 年 12 月 6 日 (日) 0 時 37 分 55 秒 (日本時間)

10259+5399

c226

name 名前Dmitry Domanov
date 日付November 7, 2015 20:19:04 UTC 2015 年 11 月 8 日 (日) 5 時 19 分 4 秒 (日本時間)
composite number 合成数
1351182526141435159964726232440001010867400086937384616694726032541158277843071526508467244088868478785080375915214211558161234184833435536576155271034836434486518061859866467421902843315793238099589855509642539178454775842387<226>
prime factors 素因数
26242696664020834751905246983991921<35>
51487945139187179891172494335827740494386501364712306549133543514265263246554708850551719523172848726869775151872200168063741920573212592897755967492299709817270381020247805370848299043430147<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3434191257
Step 1 took 41547ms
Step 2 took 13887ms
********** Factor found in step 2: 26242696664020834751905246983991921
Found probable prime factor of 35 digits: 26242696664020834751905246983991921

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovNovember 7, 2015 17:22:25 UTC 2015 年 11 月 8 日 (日) 2 時 22 分 25 秒 (日本時間)

10260+5399

c241

composite cofactor 合成数の残り
3120240099412495201740708998444434935803951390738491926708215410859631002694238111337237089637487862416456333364305911606224406065465249375525418361804694334594288786808572980536829948787274604885727308083688495903689189797173104271592740771<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:22:39 UTC 2015 年 11 月 8 日 (日) 2 時 22 分 39 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 12, 2015 21:49:02 UTC 2015 年 11 月 13 日 (金) 6 時 49 分 2 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:38:32 UTC 2015 年 12 月 6 日 (日) 0 時 38 分 32 秒 (日本時間)

10261+5399

c248

composite cofactor 合成数の残り
19648365605340690215536200381782296552761998065914311365456834499416036643802961801522341317612634368339500809239446904927622284580819405217728050293981682822632268320566081584252648951667452139508802602392704351732262682760982140162704664612376221<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:22:53 UTC 2015 年 11 月 8 日 (日) 2 時 22 分 53 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 12, 2015 21:49:18 UTC 2015 年 11 月 13 日 (金) 6 時 49 分 18 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:38:55 UTC 2015 年 12 月 6 日 (日) 0 時 38 分 55 秒 (日本時間)

10262+5399

c254

name 名前Dmitry Domanov
date 日付November 7, 2015 22:34:16 UTC 2015 年 11 月 8 日 (日) 7 時 34 分 16 秒 (日本時間)
composite number 合成数
19689767976384549091741423940904264526314854106074974489788936536355312621623081484878097722527658763467488720780406474034302580473455080800004960246348610795607191499519192602319469238046402407573467628892238630355639286687670490378259167795692729758539<254>
prime factors 素因数
1442972099270797163083054275839<31>
composite cofactor 合成数の残り
13645286687341169558784703713699967380182285838139095084392779127472342586596990667101361009412282171567533095812403570270158561587586189938603708974855742547930428946966834017279769043359842703708934157319550608684510629301<224>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2191586145
Step 1 took 45635ms
Step 2 took 13831ms
********** Factor found in step 2: 1442972099270797163083054275839
Found probable prime factor of 31 digits: 1442972099270797163083054275839

c224

name 名前Dmitry Domanov
date 日付November 8, 2015 15:31:57 UTC 2015 年 11 月 9 日 (月) 0 時 31 分 57 秒 (日本時間)
composite number 合成数
13645286687341169558784703713699967380182285838139095084392779127472342586596990667101361009412282171567533095812403570270158561587586189938603708974855742547930428946966834017279769043359842703708934157319550608684510629301<224>
prime factors 素因数
765171889932936414262520880966413<33>
composite cofactor 合成数の残り
17832969123496045329830528152033828221629317035307393832788277409349247768234226839578153951467715369581609153064727945786460644293089631486033636161422511869493545490875195232659795218293577<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=402947214
Step 1 took 28525ms
********** Factor found in step 1: 765171889932936414262520880966413
Found probable prime factor of 33 digits: 765171889932936414262520880966413

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:23:06 UTC 2015 年 11 月 8 日 (日) 2 時 23 分 6 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 12, 2015 21:48:16 UTC 2015 年 11 月 13 日 (金) 6 時 48 分 16 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:55:06 UTC 2015 年 12 月 6 日 (日) 1 時 55 分 6 秒 (日本時間)

10263+5399

c261

name 名前Dmitry Domanov
date 日付October 29, 2015 13:40:56 UTC 2015 年 10 月 29 日 (木) 22 時 40 分 56 秒 (日本時間)
composite number 合成数
653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065363<261>
prime factors 素因数
82903853362280192124172692660960589<35>
7883768301886969840706957125780955289085108498537150073701736757640028658877079545936780126907139921369951279500924515627403424650991026604207315220734659179635491920278806410483543065485860814940519694427375977129407234923167<226>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3436812035
Step 1 took 43725ms
Step 2 took 13239ms
********** Factor found in step 2: 82903853362280192124172692660960589
Found probable prime factor of 35 digits: 82903853362280192124172692660960589

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovOctober 29, 2015 07:34:27 UTC 2015 年 10 月 29 日 (木) 16 時 34 分 27 秒 (日本時間)

10266+5399

c233

name 名前Dmitry Domanov
date 日付November 7, 2015 22:35:31 UTC 2015 年 11 月 8 日 (日) 7 時 35 分 31 秒 (日本時間)
composite number 合成数
25162304344932535267934456411495799254364918076196653031606094094057646971859868141943810298376925192473386770983902273254082336045789500084524253842059307777420004436399677033991478185293852799748717376976281820968981314219448305239<233>
prime factors 素因数
156420920756996255018397383914421<33>
composite cofactor 合成数の残り
160862781162264052380311834861297596256516569155061987455146948775027194694884628386930563829808022986516927849857386554395668337009693227295938853231319581552814677653697506019315893231600985483866459<201>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=183586432
Step 1 took 51135ms
Step 2 took 15430ms
********** Factor found in step 2: 156420920756996255018397383914421
Found probable prime factor of 33 digits: 156420920756996255018397383914421

c201

name 名前Dmitry Domanov
date 日付November 13, 2015 06:05:54 UTC 2015 年 11 月 13 日 (金) 15 時 5 分 54 秒 (日本時間)
composite number 合成数
160862781162264052380311834861297596256516569155061987455146948775027194694884628386930563829808022986516927849857386554395668337009693227295938853231319581552814677653697506019315893231600985483866459<201>
prime factors 素因数
1121227170177757911369309092549227195153<40>
composite cofactor 合成数の残り
143470284560408105569982982225561157634223601569411217478096695290283310180423451857742899736793951566488509975253577010392851587259501320540255512413624583577003<162>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3366878562
Step 1 took 111327ms
Step 2 took 34156ms
********** Factor found in step 2: 1121227170177757911369309092549227195153
Found probable prime factor of 40 digits: 1121227170177757911369309092549227195153

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:23:20 UTC 2015 年 11 月 8 日 (日) 2 時 23 分 20 秒 (日本時間)
4511e63150600Dmitry DomanovNovember 12, 2015 21:48:34 UTC 2015 年 11 月 13 日 (金) 6 時 48 分 34 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:45:12 UTC 2015 年 12 月 6 日 (日) 0 時 45 分 12 秒 (日本時間)
1750Ignacio SantosJanuary 24, 2016 17:34:17 UTC 2016 年 1 月 25 日 (月) 2 時 34 分 17 秒 (日本時間)
5043e6360 / 6835Dmitry DomanovDecember 11, 2015 11:23:28 UTC 2015 年 12 月 11 日 (金) 20 時 23 分 28 秒 (日本時間)

10267+5399

c209

name 名前Dmitry Domanov
date 日付November 13, 2015 06:05:16 UTC 2015 年 11 月 13 日 (金) 15 時 5 分 16 秒 (日本時間)
composite number 合成数
10340298312140419886412931169753468164267165096474666216188112033833592658979503841600223296692146852226969398351005148308612356166266849257148704397694177946666416151277655218590416016361396115438826413922363<209>
prime factors 素因数
216407351160605806494112398987411473<36>
composite cofactor 合成数の残り
47781640765365733512811260778371831174763595192017062014421282564685226542691659034051771772408037374015889861241344777307785851160525201390726385238587639559336633935617931<173>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4032870336
Step 1 took 108006ms
Step 2 took 38231ms
********** Factor found in step 2: 216407351160605806494112398987411473
Found probable prime factor of 36 digits: 216407351160605806494112398987411473

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:23:33 UTC 2015 年 11 月 8 日 (日) 2 時 23 分 33 秒 (日本時間)
4511e61400600Dmitry DomanovNovember 12, 2015 21:49:54 UTC 2015 年 11 月 13 日 (金) 6 時 49 分 54 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:55:31 UTC 2015 年 12 月 6 日 (日) 1 時 55 分 31 秒 (日本時間)
5043e61500 / 7228Erik BrangerDecember 7, 2015 07:08:12 UTC 2015 年 12 月 7 日 (月) 16 時 8 分 12 秒 (日本時間)

10268+5399

c234

composite cofactor 合成数の残り
151874629436828126607653700871127107138539479299897024602291968416558218077724511054392803004640141151045603261352511139101388528369795189776408938657548179000914822075064333841822395378549814618079737406476615788595594489127005170531<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:23:45 UTC 2015 年 11 月 8 日 (日) 2 時 23 分 45 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 27, 2015 20:20:55 UTC 2015 年 11 月 28 日 (土) 5 時 20 分 55 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:39:31 UTC 2015 年 12 月 6 日 (日) 0 時 39 分 31 秒 (日本時間)

10269+5399

c243

composite cofactor 合成数の残り
267916043195858499500798649846464938256923054536790572118519798404809363973005871078781717690376843678381228670179040234613205196864016688961915644352924736248871127601547237144557313067587666201451424588280690167872516678863949402297515713613<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:23:56 UTC 2015 年 11 月 8 日 (日) 2 時 23 分 56 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 27, 2015 20:21:15 UTC 2015 年 11 月 28 日 (土) 5 時 21 分 15 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:39:14 UTC 2015 年 12 月 6 日 (日) 0 時 39 分 14 秒 (日本時間)

10271+5399

c230

name 名前Dmitry Domanov
date 日付December 7, 2015 06:33:42 UTC 2015 年 12 月 7 日 (月) 15 時 33 分 42 秒 (日本時間)
composite number 合成数
39099346438264096004104702006257043534976343078923158051700448141826377250771479663719637050013113443531265407028270263999306447231986953724943692726737634991876140796815998101247793854262467723535126693776199772513901385968851409<230>
prime factors 素因数
189345880493201869905006942517813378037476189522747201<54>
206496948000238585179197180318924683443274844967883084792159724019727474550263110135740581029541964890286258550756409814706475092063394970600802123499172113274773967335412606609<177>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2148465193
Step 1 took 105889ms
Step 2 took 33895ms
********** Factor found in step 2: 189345880493201869905006942517813378037476189522747201
Found probable prime factor of 54 digits: 189345880493201869905006942517813378037476189522747201

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:24:11 UTC 2015 年 11 月 8 日 (日) 2 時 24 分 11 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 27, 2015 20:21:30 UTC 2015 年 11 月 28 日 (土) 5 時 21 分 30 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:39:46 UTC 2015 年 12 月 6 日 (日) 0 時 39 分 46 秒 (日本時間)

10272+5399

c269

composite cofactor 合成数の残り
19256691700365877142306951665703832081648372809551319083381475062584248026189100712497592913537454265357211631041787020989793953398806085114577315617176968996726362410937800885807818216830348546119776622376275755825149239360677835547852878875409204698632774889274022723<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 23:10:02 UTC 2015 年 10 月 29 日 (木) 8 時 10 分 2 秒 (日本時間)
4511e62200 / 4346600Dmitry DomanovNovember 28, 2015 18:58:27 UTC 2015 年 11 月 29 日 (日) 3 時 58 分 27 秒 (日本時間)
1600Dmitry DomanovDecember 5, 2015 15:41:38 UTC 2015 年 12 月 6 日 (日) 0 時 41 分 38 秒 (日本時間)

10273+5399

c237

composite cofactor 合成数の残り
454682257076176478998521524356532994459786466720461258615362101791879130372801710538664351969593216633282116156791899335558954974707173954970712935894534140580608990902183446830696763673746255312768884623380418924547366435524120833933699<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:24:32 UTC 2015 年 11 月 8 日 (日) 2 時 24 分 32 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 27, 2015 20:21:42 UTC 2015 年 11 月 28 日 (土) 5 時 21 分 42 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:40:08 UTC 2015 年 12 月 6 日 (日) 0 時 40 分 8 秒 (日本時間)

10275+5399

c264

composite cofactor 合成数の残り
328454868282507972577734334611853765053592774656421288617355815535932467002620638479262252154974694474368917259222412506759502365395519576063523280494024143301378802703075368989969936798490797232923326418614701319262084271312341446816880845747587414565604498434861<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:24:43 UTC 2015 年 11 月 8 日 (日) 2 時 24 分 43 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 28, 2015 18:58:53 UTC 2015 年 11 月 29 日 (日) 3 時 58 分 53 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:41:03 UTC 2015 年 12 月 6 日 (日) 0 時 41 分 3 秒 (日本時間)

10276+5399

c233

name 名前Dmitry Domanov
date 日付December 7, 2015 06:33:04 UTC 2015 年 12 月 7 日 (月) 15 時 33 分 4 秒 (日本時間)
composite number 合成数
11623299142128784376397635531534897706073072174641168195390507241935450337194272248124108845973185078073574468779150749483409325881405557878517810142299560527899966894412476459855049013746117063262051557638044868637023152434412946901<233>
prime factors 素因数
12247655696360424116854166199343639124576309<44>
949022362343417547159561722328973726616505921206183649108442183075147607762295829334941873160063406903589062931436524796264537445540142644913337873038842109741174900994232652779954763430689<189>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=924543719
Step 1 took 114535ms
Step 2 took 36545ms
********** Factor found in step 2: 12247655696360424116854166199343639124576309
Found probable prime factor of 44 digits: 12247655696360424116854166199343639124576309

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:24:56 UTC 2015 年 11 月 8 日 (日) 2 時 24 分 56 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 28, 2015 18:59:09 UTC 2015 年 11 月 29 日 (日) 3 時 59 分 9 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:40:20 UTC 2015 年 12 月 6 日 (日) 0 時 40 分 20 秒 (日本時間)

10277+5399

c244

name 名前Dmitry Domanov
date 日付November 28, 2015 22:57:27 UTC 2015 年 11 月 29 日 (日) 7 時 57 分 27 秒 (日本時間)
composite number 合成数
1271078887550079361923592580320471878759477078698760789786154990065536674337523515803320065270384863307047789959265289511689176801576178476008652802011813091961180568545861500241522408043935348596977302990381137589499968299126272372644980352851<244>
prime factors 素因数
10793917209483312865340644646075356549<38>
composite cofactor 合成数の残り
117758813865399642623402175216994144601921453288462591686430649013011254125979804931147561382389661185564687010109423601550410035234994631001835567816539836936326496127623927569119314978580607513578549220599<207>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1522812516
Step 1 took 170100ms
Step 2 took 51139ms
********** Factor found in step 2: 10793917209483312865340644646075356549
Found probable prime factor of 38 digits: 10793917209483312865340644646075356549

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:25:08 UTC 2015 年 11 月 8 日 (日) 2 時 25 分 8 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 28, 2015 18:59:43 UTC 2015 年 11 月 29 日 (日) 3 時 59 分 43 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:40:37 UTC 2015 年 12 月 6 日 (日) 0 時 40 分 37 秒 (日本時間)

10278+5399

c233

composite cofactor 合成数の残り
57150559870781332290312696751669388495534642938837161896157738302802565614383063308106957896379448703290103236368867990704278569665411417963303623978458528172937247249268090587294202899466877974830782799111698269497470297794050027149<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 17:25:22 UTC 2015 年 11 月 8 日 (日) 2 時 25 分 22 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 12, 2015 21:50:46 UTC 2015 年 11 月 13 日 (金) 6 時 50 分 46 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 15:41:20 UTC 2015 年 12 月 6 日 (日) 0 時 41 分 20 秒 (日本時間)

10279+5399

c249

name 名前Dmitry Domanov
date 日付November 28, 2015 22:57:53 UTC 2015 年 11 月 29 日 (日) 7 時 57 分 53 秒 (日本時間)
composite number 合成数
268525247038608909670990755279469954611012375614686600420275352531022689208066910753064493653285639823403127885378553839372738368061102056831327467286147066219003896265320014183850669885710980316082802891078970234058154540685396002076837043653889777<249>
prime factors 素因数
10117678543582615301314498204238858984919901<44>
composite cofactor 合成数の残り
26540203454964242288847808177235518320198735482964911996882565445460972448643544695181140997764872844908957549454946371857654909214437495319932944913226655812955810551797686350847369403677386076735286797477<206>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1309016494
Step 1 took 169682ms
Step 2 took 50077ms
********** Factor found in step 2: 10117678543582615301314498204238858984919901
Found probable prime factor of 44 digits: 10117678543582615301314498204238858984919901

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 19:03:50 UTC 2015 年 11 月 8 日 (日) 4 時 3 分 50 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 28, 2015 19:00:06 UTC 2015 年 11 月 29 日 (日) 4 時 0 分 6 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:57:33 UTC 2015 年 12 月 6 日 (日) 1 時 57 分 33 秒 (日本時間)

10280+5399

c268

name 名前Dmitry Domanov
date 日付November 7, 2015 22:34:51 UTC 2015 年 11 月 8 日 (日) 7 時 34 分 51 秒 (日本時間)
composite number 合成数
2428625558702042336935981368137929282497705770264656067262136333689769927884929864589263062681772482783015891056625502784567969846233890186574937423630963717680167949123916269000285730616372706378141467156942197651407959135458265486552618824272671212469571280184006601<268>
prime factors 素因数
11208875137639602718136472563<29>
composite cofactor 合成数の残り
216669873549280103545110622459331882396571532176413981597054772879672192403211168474351655426110925468930605037027797888338058229254973113028951648007911721078937254130914363476980935836775710232049749589458687202365759084477495783247519827<240>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=716998320
Step 1 took 38000ms
Step 2 took 11678ms
********** Factor found in step 2: 11208875137639602718136472563
Found probable prime factor of 29 digits: 11208875137639602718136472563

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 19:04:02 UTC 2015 年 11 月 8 日 (日) 4 時 4 分 2 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 28, 2015 19:00:24 UTC 2015 年 11 月 29 日 (日) 4 時 0 分 24 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:58:21 UTC 2015 年 12 月 6 日 (日) 1 時 58 分 21 秒 (日本時間)

10281+5399

c270

composite cofactor 合成数の残り
713839072321652201664809289773087657424862178393778383791572439495985845469890700126908242639712103124479702174606939485280647176762833028550672080190079241320855662686990917100843394133159419155408362678380109796803952804746769085513362066527975268772138926600530592061<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 19:04:17 UTC 2015 年 11 月 8 日 (日) 4 時 4 分 17 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 28, 2015 19:00:40 UTC 2015 年 11 月 29 日 (日) 4 時 0 分 40 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:58:32 UTC 2015 年 12 月 6 日 (日) 1 時 58 分 32 秒 (日本時間)

10283+5399

c257

name 名前Dmitry Domanov
date 日付December 1, 2015 06:31:50 UTC 2015 年 12 月 1 日 (火) 15 時 31 分 50 秒 (日本時間)
composite number 合成数
94045306721575532772870760067355110218095675987422071222870669495554372637934409620108578480186353189852325909530118937323625683478250792863427525479658719520054549265195379853933558693641681704217007598704197571477383529052160856151878373772597710315985693<257>
prime factors 素因数
1460170239231775952752284747128379377537<40>
64407083636394755748099641331855849125580244782467612813246283670123152893410902506211812447109495891295782959306614502658319448265588744679158127108911723197368838999669335839234982621903061751738064804062470627557789<218>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1879646493
Step 1 took 107635ms
Step 2 took 30761ms
********** Factor found in step 2: 1460170239231775952752284747128379377537
Found probable prime factor of 40 digits: 1460170239231775952752284747128379377537

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 19:04:29 UTC 2015 年 11 月 8 日 (日) 4 時 4 分 29 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovNovember 30, 2015 19:36:51 UTC 2015 年 12 月 1 日 (火) 4 時 36 分 51 秒 (日本時間)

10284+5399

c242

name 名前Dmitry Domanov
date 日付December 7, 2015 06:28:40 UTC 2015 年 12 月 7 日 (月) 15 時 28 分 40 秒 (日本時間)
composite number 合成数
74882497518832849158097509237706358662390145438699827815894505432398185393393788540519702979923286730884653509131965291623244926150541517597226147378090159878944593708427553302489411523798334727682913077377521902885075686950420373929786928111<242>
prime factors 素因数
92165859075259409063747923305257833972339612021<47>
composite cofactor 合成数の残り
812475446658468480869651787885353599875484244068780090125542136784297219903862250864795308667175363547324750757910274323899467738164944770919706366556146862221731685170370721116998546682295230291<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1859380706
Step 1 took 102102ms
Step 2 took 29853ms
********** Factor found in step 2: 92165859075259409063747923305257833972339612021
Found probable prime factor of 47 digits: 92165859075259409063747923305257833972339612021

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 19:04:43 UTC 2015 年 11 月 8 日 (日) 4 時 4 分 43 秒 (日本時間)
4511e63152600Dmitry DomanovNovember 30, 2015 19:37:34 UTC 2015 年 12 月 1 日 (火) 4 時 37 分 34 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:58:47 UTC 2015 年 12 月 6 日 (日) 1 時 58 分 47 秒 (日本時間)
1752Ignacio SantosJanuary 25, 2016 15:22:36 UTC 2016 年 1 月 26 日 (火) 0 時 22 分 36 秒 (日本時間)
5043e65960360Dmitry DomanovDecember 11, 2015 14:35:49 UTC 2015 年 12 月 11 日 (金) 23 時 35 分 49 秒 (日本時間)
1600Dmitry DomanovNovember 19, 2017 19:44:24 UTC 2017 年 11 月 20 日 (月) 4 時 44 分 24 秒 (日本時間)
4000Dmitry DomanovMarch 18, 2019 08:57:25 UTC 2019 年 3 月 18 日 (月) 17 時 57 分 25 秒 (日本時間)
5511e72880 / 15443Erik BrangerMay 3, 2019 14:39:35 UTC 2019 年 5 月 3 日 (金) 23 時 39 分 35 秒 (日本時間)

10285+5399

c268

composite cofactor 合成数の残り
2252099876916873864722020337471400480138491879624030364566661553219596537034060879698216936452039993958663283192909482013798231304590663483435915246671429859388248248178726839569586208885039080379606819035792084335336137314046782691850427007565105070808185262564651091<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 19:04:55 UTC 2015 年 11 月 8 日 (日) 4 時 4 分 55 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 28, 2015 19:00:54 UTC 2015 年 11 月 29 日 (日) 4 時 0 分 54 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:59:01 UTC 2015 年 12 月 6 日 (日) 1 時 59 分 1 秒 (日本時間)

10287+5399

c247

composite cofactor 合成数の残り
1033255043740211868937750930244135429537119129744726085587398022076456996319502712399175607326905652981508501608454771810049953943369080770566140497650475363495283086885728653038936689873528542781442870602833931927788135883664410188505170212816077<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 19:05:23 UTC 2015 年 11 月 8 日 (日) 4 時 5 分 23 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 30, 2015 19:38:07 UTC 2015 年 12 月 1 日 (火) 4 時 38 分 7 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:59:15 UTC 2015 年 12 月 6 日 (日) 1 時 59 分 15 秒 (日本時間)

10288+5399

c252

name 名前Dmitry Domanov
date 日付November 30, 2015 22:54:32 UTC 2015 年 12 月 1 日 (火) 7 時 54 分 32 秒 (日本時間)
composite number 合成数
149719411457723912822221423787002659942541702236381375000599573627129439491593825124952655236422989873991914646319765511511361813673224667416568642045522319092655799031425842933860182400268899083849706878101510768180473242953985039207610257312343751459<252>
prime factors 素因数
5156901420812622389592174157384513<34>
composite cofactor 合成数の残り
29032824023642319303346334219924512221443137814978998703345385704341277496806774705896550290896303996492187973841860305491163892545803773492263229465136966934337176928541151878654136965756393968866756237996798290239843<218>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1325234621
Step 1 took 111941ms
Step 2 took 31673ms
********** Factor found in step 2: 5156901420812622389592174157384513
Found probable prime factor of 34 digits: 5156901420812622389592174157384513

c218

name 名前Dmitry Domanov
date 日付December 6, 2015 08:52:22 UTC 2015 年 12 月 6 日 (日) 17 時 52 分 22 秒 (日本時間)
composite number 合成数
29032824023642319303346334219924512221443137814978998703345385704341277496806774705896550290896303996492187973841860305491163892545803773492263229465136966934337176928541151878654136965756393968866756237996798290239843<218>
prime factors 素因数
2060876812456478743157201397927105885830425123<46>
composite cofactor 合成数の残り
14087607686282039575211921414652387294177201726848225751772198164176718528930016075451892434868649723995369086549231779276070821967090015928190112422067555893730421970632641<173>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2428285223
Step 1 took 108911ms
Step 2 took 32350ms
********** Factor found in step 2: 2060876812456478743157201397927105885830425123
Found probable prime factor of 46 digits: 2060876812456478743157201397927105885830425123

c173

name 名前Dmitry Domanov
date 日付December 11, 2015 17:08:15 UTC 2015 年 12 月 12 日 (土) 2 時 8 分 15 秒 (日本時間)
composite number 合成数
14087607686282039575211921414652387294177201726848225751772198164176718528930016075451892434868649723995369086549231779276070821967090015928190112422067555893730421970632641<173>
prime factors 素因数
15435738547166430416969705234834551428041<41>
composite cofactor 合成数の残り
912661719634278857590765343854141891794555664523013020586570308820415232114134142250685553204008689134504186196313694904462915180601<132>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2703670126
Step 1 took 228892ms
Step 2 took 66906ms
********** Factor found in step 2: 15435738547166430416969705234834551428041
Found probable prime factor of 41 digits: 15435738547166430416969705234834551428041

c132

name 名前Erik Branger
date 日付January 15, 2016 07:35:06 UTC 2016 年 1 月 15 日 (金) 16 時 35 分 6 秒 (日本時間)
composite number 合成数
912661719634278857590765343854141891794555664523013020586570308820415232114134142250685553204008689134504186196313694904462915180601<132>
prime factors 素因数
33977523819076032231160001041097834749834968251<47>
26860748431640635176472399065899925902258598523695128766965071955052456891743237949851<86>
factorization results 素因数分解の結果
Number: 11171_288
N = 912661719634278857590765343854141891794555664523013020586570308820415232114134142250685553204008689134504186196313694904462915180601 (132 digits)
Divisors found:
r1=33977523819076032231160001041097834749834968251 (pp47)
r2=26860748431640635176472399065899925902258598523695128766965071955052456891743237949851 (pp86)
Version: Msieve v. 1.51 (SVN 845)
Total time: 125.92 hours.
Factorization parameters were as follows:
# Murphy_E = 5.941e-11, selected by Dmitry Domanov
n: 912661719634278857590765343854141891794555664523013020586570308820415232114134142250685553204008689134504186196313694904462915180601
Y0: -29395760264304707724167465
Y1: 77843583654533
c0: 2618783669894429101385866932991872
c1: 19170999835546556590455507672
c2: -46744191180963262823894
c3: -44038248188652077
c4: 67455382512
c5: 41580
skew: 809694.87
type: gnfs
# selected mechanically
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19623383
Relations: 2745630 relations
Pruned matrix : 1608245 x 1608472
Polynomial selection time: 0.00 hours.
Total sieving time: 122.83 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.51 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,11100000,11100000,28,28,54,54,2.6,2.6,100000
total time: 125.92 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
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
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 19:05:34 UTC 2015 年 11 月 8 日 (日) 4 時 5 分 34 秒 (日本時間)
4511e63154600Dmitry DomanovNovember 30, 2015 19:38:24 UTC 2015 年 12 月 1 日 (火) 4 時 38 分 24 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:59:28 UTC 2015 年 12 月 6 日 (日) 1 時 59 分 28 秒 (日本時間)
1754Ignacio SantosDecember 19, 2015 18:47:44 UTC 2015 年 12 月 20 日 (日) 3 時 47 分 44 秒 (日本時間)
5043e6360 / 6834Dmitry DomanovDecember 11, 2015 14:10:50 UTC 2015 年 12 月 11 日 (金) 23 時 10 分 50 秒 (日本時間)

10289+5399

c268

composite cofactor 合成数の残り
1894303692376344611782287335954898414412448893430681804927195938722132142882033575253230530395019902118485545890165310643505977133598567812253635699356002313754227017564816433972943560839884155840946391467564211671521339977175123884829107578431897830325600413850031323<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:21:56 UTC 2015 年 11 月 8 日 (日) 5 時 21 分 56 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 30, 2015 19:38:36 UTC 2015 年 12 月 1 日 (火) 4 時 38 分 36 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:59:41 UTC 2015 年 12 月 6 日 (日) 1 時 59 分 41 秒 (日本時間)

10290+5399

c259

composite cofactor 合成数の残り
2612288188749545907047576018360964338505524825500658929409673315781632447464793958640268017550123345867812514759252797819126421952131947846592505119427887509597378374722336949554226658136414539979556473600839829063092927317825310679088640080094753608094246479<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:21:47 UTC 2015 年 11 月 8 日 (日) 5 時 21 分 47 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovNovember 30, 2015 19:39:01 UTC 2015 年 12 月 1 日 (火) 4 時 39 分 1 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 16:59:54 UTC 2015 年 12 月 6 日 (日) 1 時 59 分 54 秒 (日本時間)

10291+5399

c288

name 名前Dmitry Domanov
date 日付October 28, 2015 23:12:46 UTC 2015 年 10 月 29 日 (木) 8 時 12 分 46 秒 (日本時間)
composite number 合成数
216590859865713666883257526532380333549924193199047000216590859865713666883257526532380333549924193199047000216590859865713666883257526532380333549924193199047000216590859865713666883257526532380333549924193199047000216590859865713666883257526532380333549924193199047000216590859865713667<288>
prime factors 素因数
326090991920736069348220473564413<33>
composite cofactor 合成数の残り
664203750584932033045161346460675711339242787188198792533502384790633996723036971307245139535955539678859191639878624784958467103523150956875213202381251880691433687391622067192925897693135418307627678152394431033382258562028969469092417751924199499644159<255>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2930502747
Step 1 took 65491ms
Step 2 took 19551ms
********** Factor found in step 2: 326090991920736069348220473564413
Found probable prime factor of 33 digits: 326090991920736069348220473564413

c255

name 名前Dmitry Domanov
date 日付October 29, 2015 16:40:46 UTC 2015 年 10 月 30 日 (金) 1 時 40 分 46 秒 (日本時間)
composite number 合成数
664203750584932033045161346460675711339242787188198792533502384790633996723036971307245139535955539678859191639878624784958467103523150956875213202381251880691433687391622067192925897693135418307627678152394431033382258562028969469092417751924199499644159<255>
prime factors 素因数
282186047334553040123959834576267541<36>
composite cofactor 合成数の残り
2353779560891853469874619746462586254758957939528406121644624706453141890682915138090450131372641670826583977856550985780567271960519276981431198597459814562987911155502079078807934186007865855561648381393536579846613699<220>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=266778125
Step 1 took 64796ms
Step 2 took 19929ms
********** Factor found in step 2: 282186047334553040123959834576267541
Found probable prime factor of 36 digits: 282186047334553040123959834576267541

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovOctober 28, 2015 18:47:13 UTC 2015 年 10 月 29 日 (木) 3 時 47 分 13 秒 (日本時間)
4511e61400 / 4346600Dmitry DomanovNovember 12, 2015 21:50:21 UTC 2015 年 11 月 13 日 (金) 6 時 50 分 21 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:00:47 UTC 2015 年 12 月 6 日 (日) 2 時 0 分 47 秒 (日本時間)

10292+5399

c269

composite cofactor 合成数の残り
11238548333961910251221719367968503930418654443233859811456479869362854470368216034211378168146684451063560176517543139710059700380339579814249397884815385546124580582581106968007608609824891087193285240600433854245495301322453486674170281960712284193613619697508772699<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:22:24 UTC 2015 年 11 月 8 日 (日) 5 時 22 分 24 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovDecember 1, 2015 21:36:43 UTC 2015 年 12 月 2 日 (水) 6 時 36 分 43 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:01:23 UTC 2015 年 12 月 6 日 (日) 2 時 1 分 23 秒 (日本時間)

10293+5399

c261

composite cofactor 合成数の残り
724520766986426309538874253133069692128539992421529392517104689368352942274246687921042836486886861544140917329800504845566411761502743155964081287042709307491699604952484568289015090151935379115044911669451908642319156078688542418575451393241792273900972385307<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:21:19 UTC 2015 年 11 月 8 日 (日) 5 時 21 分 19 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovDecember 1, 2015 21:36:58 UTC 2015 年 12 月 2 日 (水) 6 時 36 分 58 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:01:37 UTC 2015 年 12 月 6 日 (日) 2 時 1 分 37 秒 (日本時間)

10295+5399

c261

composite cofactor 合成数の残り
832489477540356547149787175439126240729692164461363178395373862609813793419342467570153429133603234050415114155773719307904158699094632148050078948881904409523168668943163511106881066142541601738713594222746380485885058618001984586662394040665973892352565245817<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:21:05 UTC 2015 年 11 月 8 日 (日) 5 時 21 分 5 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovDecember 1, 2015 21:37:16 UTC 2015 年 12 月 2 日 (水) 6 時 37 分 16 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:01:51 UTC 2015 年 12 月 6 日 (日) 2 時 1 分 51 秒 (日本時間)

10296+5399

c254

composite cofactor 合成数の残り
75390675223026346301656041848717187411281425017271430263783708099665688266546775450214336603979016066628606618594800971905713928979979750269516154285529515970087734707846296640760034024484912462301899141061689901553245550446490090027774941837281023573213<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:20:51 UTC 2015 年 11 月 8 日 (日) 5 時 20 分 51 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovDecember 1, 2015 21:37:28 UTC 2015 年 12 月 2 日 (水) 6 時 37 分 28 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:02:02 UTC 2015 年 12 月 6 日 (日) 2 時 2 分 2 秒 (日本時間)

10297+5399

c241

composite cofactor 合成数の残り
4224366010375992853896440025132728096404965186384737958908517836369516300989148906071567386556126159149477322084132599374527650200409040323117919762898926672962477555640018224642344600489601373985510822311883972880015738473392067174663597797<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:20:40 UTC 2015 年 11 月 8 日 (日) 5 時 20 分 40 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovDecember 2, 2015 06:33:50 UTC 2015 年 12 月 2 日 (水) 15 時 33 分 50 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:02:17 UTC 2015 年 12 月 6 日 (日) 2 時 2 分 17 秒 (日本時間)

10298+5399

c250

name 名前Dmitry Domanov
date 日付December 2, 2015 06:33:22 UTC 2015 年 12 月 2 日 (水) 15 時 33 分 22 秒 (日本時間)
composite number 合成数
9923630659428064617350225387231872676933790583829823498761516856674465393109917756210039917198427523614202850811182853595633461400827899605082824190010628867827161433989329630173239780117333569485344312251994940252981426574870633619778772892821242081<250>
prime factors 素因数
912754386612177728721820126839408683<36>
10872180736661349450615245026916050098192597549228286243032068137708533916121986041506257288596348361622414998078645378092685619092987806633931537735980093808298562377537791331855770506952387443039509291866623011107<215>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2460779604
Step 1 took 104563ms
Step 2 took 29407ms
********** Factor found in step 2: 912754386612177728721820126839408683
Found probable prime factor of 36 digits: 912754386612177728721820126839408683

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:20:29 UTC 2015 年 11 月 8 日 (日) 5 時 20 分 29 秒 (日本時間)
4511e6600 / 4413Dmitry DomanovDecember 1, 2015 21:37:40 UTC 2015 年 12 月 2 日 (水) 6 時 37 分 40 秒 (日本時間)

10299+5399

c275

composite cofactor 合成数の残り
71975464591904788665027247349437210655424204229356710553325509091790381738445304830738245736111782998622421093817042573060428123638395114516616410792223401394392066390482151298476254885850339920583892421914791181220961762477716562804067835178013002550645636876436441099813877<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 27, 2015 09:00:00 UTC 2015 年 10 月 27 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300Dmitry DomanovNovember 7, 2015 20:22:48 UTC 2015 年 11 月 8 日 (日) 5 時 22 分 48 秒 (日本時間)
4511e61400 / 4413600Dmitry DomanovDecember 1, 2015 21:37:52 UTC 2015 年 12 月 2 日 (水) 6 時 37 分 52 秒 (日本時間)
800Dmitry DomanovDecember 5, 2015 17:03:22 UTC 2015 年 12 月 6 日 (日) 2 時 3 分 22 秒 (日本時間)