Table of contents 目次

22×10106-319

c99

name 名前Serge Batalov
date 日付June 25, 2008 00:12:39 UTC 2008 年 6 月 25 日 (水) 9 時 12 分 39 秒 (日本時間)
composite number 合成数
244128144696331536415917888750242967148917292732461485370154311413947192044016455404328933748012507<99>
prime factors 素因数
9631591007156665672864019700139260889641266659<46>
25346606237218165683573730083344826363369886203189673<53>
factorization results 素因数分解の結果
Number: vs
N=244128144696331536415917888750242967148917292732461485370154311413947192044016455404328933748012507
  ( 99 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=9631591007156665672864019700139260889641266659
 r2=25346606237218165683573730083344826363369886203189673
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
#res:5730
n: 244128144696331536415917888750242967148917292732461485370154311413947192044016455404328933748012507
name: 24441_106
Y0: -1000000000000000000000
Y1: 1
c5: 220
c0: -31
skew: 0.68
type: snfsFactor 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, 350001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 67178 x 67407
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

Msieve v. 1.36
Tue Jun 24 17:07:38 2008
random seeds: 6635feda 25f502d1
factoring 244128144696331536415917888750242967148917292732461485370154311413947192044016455404328933748012507 (99 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (99-digit input)
R0: -1000000000000000000000
R1:  1
A0: -31
A1:  0
A2:  0
A3:  0
A4:  0
A5:  220
size score = 1.115181e-07, Murphy alpha = -0.098283, combined = 1.152321e-07

commencing square root phase
reading relations for dependency 1
read 33759 cycles
cycles contain 150066 unique relations
read 150066 relations
multiplying 248786 relations
multiply complete, coefficients have about 6.50 million bits
initial square root is modulo 29586071
reading relations for dependency 2
read 33549 cycles
cycles contain 149442 unique relations
read 149442 relations
multiplying 247648 relations
multiply complete, coefficients have about 6.47 million bits
initial square root is modulo 27412771
reading relations for dependency 3
read 33871 cycles
cycles contain 150712 unique relations
read 150712 relations
multiplying 250366 relations
multiply complete, coefficients have about 6.54 million bits
initial square root is modulo 33020791
prp46 factor: 9631591007156665672864019700139260889641266659
prp53 factor: 25346606237218165683573730083344826363369886203189673
elapsed time 00:02:09

# 25 minutes. total! :-)
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

22×10108-319

c87

name 名前Robert Backstrom
date 日付June 25, 2008 04:45:19 UTC 2008 年 6 月 25 日 (水) 13 時 45 分 19 秒 (日本時間)
composite number 合成数
727745742572941432727590326080685974558243874913479827895808647003715217085608116454921<87>
prime factors 素因数
138995389975794491309068904263146176694797<42>
5235754528978806667489969821427816016907360493<46>
factorization results 素因数分解の結果
Wed Jun 25 05:45:44 2008  
Wed Jun 25 05:45:44 2008  
Wed Jun 25 05:45:44 2008  Msieve v. 1.36
Wed Jun 25 05:45:44 2008  random seeds: 2c2f2650 d595796d
Wed Jun 25 05:45:44 2008  factoring 727745742572941432727590326080685974558243874913479827895808647003715217085608116454921 (87 digits)
Wed Jun 25 05:45:44 2008  searching for 15-digit factors
Wed Jun 25 05:45:45 2008  commencing quadratic sieve (87-digit input)
Wed Jun 25 05:45:45 2008  using multiplier of 1
Wed Jun 25 05:45:45 2008  using 64kb Opteron sieve core
Wed Jun 25 05:45:45 2008  sieve interval: 11 blocks of size 65536
Wed Jun 25 05:45:45 2008  processing polynomials in batches of 10
Wed Jun 25 05:45:45 2008  using a sieve bound of 1499123 (56987 primes)
Wed Jun 25 05:45:45 2008  using large prime bound of 119929840 (26 bits)
Wed Jun 25 05:45:45 2008  using double large prime bound of 348392707234640 (42-49 bits)
Wed Jun 25 05:45:45 2008  using trial factoring cutoff of 49 bits
Wed Jun 25 05:45:45 2008  polynomial 'A' values have 11 factors
Wed Jun 25 06:18:28 2008  57110 relations (15937 full + 41173 combined from 597887 partial), need 57083
Wed Jun 25 06:18:29 2008  begin with 613823 relations
Wed Jun 25 06:18:29 2008  reduce to 136931 relations in 10 passes
Wed Jun 25 06:18:29 2008  attempting to read 136931 relations
Wed Jun 25 06:18:31 2008  recovered 136931 relations
Wed Jun 25 06:18:31 2008  recovered 114809 polynomials
Wed Jun 25 06:18:31 2008  attempting to build 57110 cycles
Wed Jun 25 06:18:31 2008  found 57110 cycles in 5 passes
Wed Jun 25 06:18:31 2008  distribution of cycle lengths:
Wed Jun 25 06:18:31 2008     length 1 : 15937
Wed Jun 25 06:18:31 2008     length 2 : 11207
Wed Jun 25 06:18:31 2008     length 3 : 9996
Wed Jun 25 06:18:31 2008     length 4 : 7557
Wed Jun 25 06:18:31 2008     length 5 : 5191
Wed Jun 25 06:18:31 2008     length 6 : 3117
Wed Jun 25 06:18:31 2008     length 7 : 1859
Wed Jun 25 06:18:31 2008     length 9+: 2246
Wed Jun 25 06:18:31 2008  largest cycle: 18 relations
Wed Jun 25 06:18:31 2008  matrix is 56987 x 57110 (13.0 MB) with weight 3192278 (55.90/col)
Wed Jun 25 06:18:31 2008  sparse part has weight 3192278 (55.90/col)
Wed Jun 25 06:18:32 2008  filtering completed in 3 passes
Wed Jun 25 06:18:32 2008  matrix is 52584 x 52648 (12.2 MB) with weight 2979847 (56.60/col)
Wed Jun 25 06:18:32 2008  sparse part has weight 2979847 (56.60/col)
Wed Jun 25 06:18:32 2008  saving the first 48 matrix rows for later
Wed Jun 25 06:18:32 2008  matrix is 52536 x 52648 (7.8 MB) with weight 2338595 (44.42/col)
Wed Jun 25 06:18:32 2008  sparse part has weight 1724452 (32.75/col)
Wed Jun 25 06:18:32 2008  matrix includes 64 packed rows
Wed Jun 25 06:18:32 2008  using block size 21059 for processor cache size 1024 kB
Wed Jun 25 06:18:32 2008  commencing Lanczos iteration
Wed Jun 25 06:18:32 2008  memory use: 7.7 MB
Wed Jun 25 06:18:48 2008  lanczos halted after 832 iterations (dim = 52534)
Wed Jun 25 06:18:48 2008  recovered 15 nontrivial dependencies
Wed Jun 25 06:18:48 2008  prp42 factor: 138995389975794491309068904263146176694797
Wed Jun 25 06:18:48 2008  prp46 factor: 5235754528978806667489969821427816016907360493
Wed Jun 25 06:18:48 2008  elapsed time 00:33:04

22×10116-319

c99

name 名前Serge Batalov
date 日付June 25, 2008 00:50:18 UTC 2008 年 6 月 25 日 (水) 9 時 50 分 18 秒 (日本時間)
composite number 合成数
977428785499340052582306526584012835139359060523885018765669359761522729518706248747753495558648497<99>
prime factors 素因数
74779328381478672337559932601827975176268631<44>
13070841991426997088803843630742662043950302826857829687<56>
factorization results 素因数分解の結果
Number: s99
N=977428785499340052582306526584012835139359060523885018765669359761522729518706248747753495558648497
  ( 99 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=74779328381478672337559932601827975176268631
 r2=13070841991426997088803843630742662043950302826857829687
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.943).
Factorization parameters were as follows:
#res: 4974
name: 24441_116
n: 977428785499340052582306526584012835139359060523885018765669359761522729518706248747753495558648497
Y1: 1
Y0: -100000000000000000000000
c5: 220
c0: -31
skew: 0.68
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, 400001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 99420 x 99635
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)
Calibrating delay using timer specific routine.. 5600.56 BogoMIPS (lpj=11201124)

___________screen log_________

Msieve v. 1.36
Tue Jun 24 17:41:00 2008
random seeds: a8b54151 bdb568c5
factoring 977428785499340052582306526584012835139359060523885018765669359761522729518706248747753495558648497 (99 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (99-digit input)
R0: -100000000000000000000000
R1:  1
A0: -31
A1:  0
A2:  0
A3:  0
A4:  0
A5:  220
size score = 2.402585e-08, Murphy alpha = -0.098283, combined = 2.482600e-08

commencing linear algebra
read 99882 cycles
cycles contain 356766 unique relations
read 356766 relations
using 32 quadratic characters above 33550338
building initial matrix
memory use: 48.3 MB
read 99882 cycles
matrix is 99716 x 99882 (30.2 MB) with weight 9788440 (98.00/col)
sparse part has weight 6817281 (68.25/col)
filtering completed in 2 passes
matrix is 99468 x 99635 (30.2 MB) with weight 9773494 (98.09/col)
sparse part has weight 6809835 (68.35/col)
read 99635 cycles
matrix is 99468 x 99635 (30.2 MB) with weight 9773494 (98.09/col)
sparse part has weight 6809835 (68.35/col)
saving the first 48 matrix rows for later
matrix is 99420 x 99635 (28.8 MB) with weight 7580439 (76.08/col)
sparse part has weight 6566360 (65.90/col)
matrix includes 64 packed rows
using block size 39854 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 25.9 MB
linear algebra completed 96425 out of 99635 dimensions (96.8%)
lanczos halted after 1573 iterations (dim = 99418)
recovered 50 nontrivial dependencies
elapsed time 00:03:35
=>nice -n 19  "/depts/BioInf/Batalov/MERSE/ggbin/msieve" -s s99.dat -l ggnfs.log -i s99.ini -v -nf s99.fb -t 1 -nc3


Msieve v. 1.36
Tue Jun 24 17:44:35 2008
random seeds: ac726169 0a8b790a
factoring 977428785499340052582306526584012835139359060523885018765669359761522729518706248747753495558648497 (99 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (99-digit input)
R0: -100000000000000000000000
R1:  1
A0: -31
A1:  0
A2:  0
A3:  0
A4:  0
A5:  220
size score = 2.402585e-08, Murphy alpha = -0.098283, combined = 2.482600e-08

commencing square root phase
reading relations for dependency 1
read 49629 cycles
cycles contain 223442 unique relations
read 223442 relations
multiplying 346538 relations
multiply complete, coefficients have about 9.09 million bits
initial square root is modulo 168731

prp44 factor: 74779328381478672337559932601827975176268631
prp56 factor: 13070841991426997088803843630742662043950302826857829687

elapsed time 00:01:08
-> Computing time scale for this machine...
sumName = s117-s99.txt
-> Factorization summary written to s117-s99.txt.

Start: 2008-06-24 17:10 
Finish: 2008-06-24 17:47 
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

22×10117-319

c88

name 名前Sinkiti Sibata
date 日付June 24, 2008 22:37:28 UTC 2008 年 6 月 25 日 (水) 7 時 37 分 28 秒 (日本時間)
composite number 合成数
1287259419146274799029762849499144221452245222008169345367185110030166353130963969852961<88>
prime factors 素因数
4410818249195386441095460907024479<34>
291841410464168265137439674268152491306019075364735359<54>
factorization results 素因数分解の結果
Wed Jun 25 06:06:08 2008  Msieve v. 1.36
Wed Jun 25 06:06:08 2008  random seeds: 170cc727 b201353d
Wed Jun 25 06:06:08 2008  factoring 1287259419146274799029762849499144221452245222008169345367185110030166353130963969852961 (88 digits)
Wed Jun 25 06:06:09 2008  no P-1/P+1/ECM available, skipping
Wed Jun 25 06:06:09 2008  commencing quadratic sieve (88-digit input)
Wed Jun 25 06:06:09 2008  using multiplier of 1
Wed Jun 25 06:06:09 2008  using 64kb Pentium 4 sieve core
Wed Jun 25 06:06:09 2008  sieve interval: 12 blocks of size 65536
Wed Jun 25 06:06:09 2008  processing polynomials in batches of 9
Wed Jun 25 06:06:09 2008  using a sieve bound of 1508383 (57210 primes)
Wed Jun 25 06:06:09 2008  using large prime bound of 120670640 (26 bits)
Wed Jun 25 06:06:09 2008  using double large prime bound of 352275850752880 (42-49 bits)
Wed Jun 25 06:06:09 2008  using trial factoring cutoff of 49 bits
Wed Jun 25 06:06:09 2008  polynomial 'A' values have 11 factors
Wed Jun 25 07:24:25 2008  57416 relations (15610 full + 41806 combined from 604346 partial), need 57306
Wed Jun 25 07:24:27 2008  begin with 619956 relations
Wed Jun 25 07:24:28 2008  reduce to 138236 relations in 10 passes
Wed Jun 25 07:24:28 2008  attempting to read 138236 relations
Wed Jun 25 07:24:31 2008  recovered 138236 relations
Wed Jun 25 07:24:31 2008  recovered 115495 polynomials
Wed Jun 25 07:24:32 2008  attempting to build 57416 cycles
Wed Jun 25 07:24:32 2008  found 57416 cycles in 5 passes
Wed Jun 25 07:24:32 2008  distribution of cycle lengths:
Wed Jun 25 07:24:32 2008     length 1 : 15610
Wed Jun 25 07:24:32 2008     length 2 : 11329
Wed Jun 25 07:24:32 2008     length 3 : 10241
Wed Jun 25 07:24:32 2008     length 4 : 7591
Wed Jun 25 07:24:32 2008     length 5 : 5209
Wed Jun 25 07:24:32 2008     length 6 : 3257
Wed Jun 25 07:24:32 2008     length 7 : 1922
Wed Jun 25 07:24:32 2008     length 9+: 2257
Wed Jun 25 07:24:32 2008  largest cycle: 19 relations
Wed Jun 25 07:24:32 2008  matrix is 57210 x 57416 (13.2 MB) with weight 3220877 (56.10/col)
Wed Jun 25 07:24:32 2008  sparse part has weight 3220877 (56.10/col)
Wed Jun 25 07:24:33 2008  filtering completed in 3 passes
Wed Jun 25 07:24:33 2008  matrix is 52838 x 52902 (12.2 MB) with weight 2996218 (56.64/col)
Wed Jun 25 07:24:33 2008  sparse part has weight 2996218 (56.64/col)
Wed Jun 25 07:24:33 2008  saving the first 48 matrix rows for later
Wed Jun 25 07:24:33 2008  matrix is 52790 x 52902 (7.7 MB) with weight 2328421 (44.01/col)
Wed Jun 25 07:24:33 2008  sparse part has weight 1694223 (32.03/col)
Wed Jun 25 07:24:33 2008  matrix includes 64 packed rows
Wed Jun 25 07:24:33 2008  using block size 21160 for processor cache size 512 kB
Wed Jun 25 07:24:34 2008  commencing Lanczos iteration
Wed Jun 25 07:24:34 2008  memory use: 7.7 MB
Wed Jun 25 07:25:04 2008  lanczos halted after 837 iterations (dim = 52788)
Wed Jun 25 07:25:04 2008  recovered 16 nontrivial dependencies
Wed Jun 25 07:25:05 2008  prp34 factor: 4410818249195386441095460907024479
Wed Jun 25 07:25:05 2008  prp54 factor: 291841410464168265137439674268152491306019075364735359
Wed Jun 25 07:25:05 2008  elapsed time 01:18:57
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10118-319

c105

name 名前Sinkiti Sibata
date 日付June 25, 2008 00:13:21 UTC 2008 年 6 月 25 日 (水) 9 時 13 分 21 秒 (日本時間)
composite number 合成数
873687018450498585860962414011205494434864693142153285668563056838354780242500796832845469760044657582781<105>
prime factors 素因数
4537615633666849151611716577755232938567642751<46>
192543196468245533005352464734298731237544060158976608782531<60>
factorization results 素因数分解の結果
Number: 24441_118
N=873687018450498585860962414011205494434864693142153285668563056838354780242500796832845469760044657582781
  ( 105 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=4537615633666849151611716577755232938567642751 (pp46)
 r2=192543196468245533005352464734298731237544060158976608782531 (pp60)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.79 hours.
Scaled time: 7.58 units (timescale=2.001).
Factorization parameters were as follows:
name: 24441_118
n: 873687018450498585860962414011205494434864693142153285668563056838354780242500796832845469760044657582781
m: 200000000000000000000000
c5: 1375
c0: -62
skew: 0.54
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63870, largePrimes:2479128 encountered
Relations: rels:3033113, finalFF:650178
Max relations in full relation-set: 28
Initial matrix: 113034 x 650178 with sparse part having weight 58691005.
Pruned matrix : 72863 x 73492 with weight 7919281.
Total sieving time: 3.65 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.79 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10123-319

c106

name 名前Sinkiti Sibata
date 日付June 25, 2008 02:01:19 UTC 2008 年 6 月 25 日 (水) 11 時 1 分 19 秒 (日本時間)
composite number 合成数
6381262987518437582596006673142664010499591113432826140506374373786489676493680985755553880923201431516453<106>
prime factors 素因数
112756411670894054808299206741<30>
1273632833538519302423429506126087703<37>
44434587248671470710438581903003136233111<41>
factorization results 素因数分解の結果
Number: 24441_123
N=6381262987518437582596006673142664010499591113432826140506374373786489676493680985755553880923201431516453
  ( 106 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=112756411670894054808299206741 (pp30)
 r2=1273632833538519302423429506126087703 (pp37)
 r3=44434587248671470710438581903003136233111 (pp41)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.80 hours.
Scaled time: 5.54 units (timescale=1.980).
Factorization parameters were as follows:
name: 24441_123
n: 6381262987518437582596006673142664010499591113432826140506374373786489676493680985755553880923201431516453
m: 2000000000000000000000000
c5: 1375
c0: -62
skew: 0.54
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63870, largePrimes:2087371 encountered
Relations: rels:2089010, finalFF:148808
Max relations in full relation-set: 28
Initial matrix: 113034 x 148808 with sparse part having weight 13134472.
Pruned matrix : 103383 x 104012 with weight 7096421.
Total sieving time: 2.64 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.80 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10126-319

c97

name 名前Sinkiti Sibata
date 日付June 25, 2008 05:01:34 UTC 2008 年 6 月 25 日 (水) 14 時 1 分 34 秒 (日本時間)
composite number 合成数
8843690817857271302023221252006081640529860641541495178285378366218188996613539373465225708576477<97>
prime factors 素因数
125539892302209994144376261639415159617845478621<48>
70445263698076214469967576860456601215668550017537<50>
factorization results 素因数分解の結果
Number: 24441_126
N=8843690817857271302023221252006081640529860641541495178285378366218188996613539373465225708576477
  ( 97 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=125539892302209994144376261639415159617845478621 (pp48)
 r2=70445263698076214469967576860456601215668550017537 (pp50)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.06 hours.
Scaled time: 8.12 units (timescale=1.999).
Factorization parameters were as follows:
name: 24441_126
n: 8843690817857271302023221252006081640529860641541495178285378366218188996613539373465225708576477
m: 10000000000000000000000000
c5: 220
c0: -31
skew: 0.68
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:49098, AFBsize:64395, largePrimes:2456079 encountered
Relations: rels:2883954, finalFF:504666
Max relations in full relation-set: 28
Initial matrix: 113560 x 504666 with sparse part having weight 50686424.
Pruned matrix : 82776 x 83407 with weight 10580662.
Total sieving time: 3.89 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.06 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10130-319

c119

name 名前Sinkiti Sibata
date 日付June 25, 2008 07:34:02 UTC 2008 年 6 月 25 日 (水) 16 時 34 分 2 秒 (日本時間)
composite number 合成数
12002220783491424354719810893455669531170424853954026778227280515249519161486614070059907571911548826570017617728568419<119>
prime factors 素因数
85995374291128139645665669095946376417031817673599<50>
139568213783908770745527523180712684153776037520035004684966931153181<69>
factorization results 素因数分解の結果
Number: 24441_130
N=12002220783491424354719810893455669531170424853954026778227280515249519161486614070059907571911548826570017617728568419
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=85995374291128139645665669095946376417031817673599 (pp50)
 r2=139568213783908770745527523180712684153776037520035004684966931153181 (pp69)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.42 hours.
Scaled time: 8.76 units (timescale=1.982).
Factorization parameters were as follows:
name: 24441_130
n: 12002220783491424354719810893455669531170424853954026778227280515249519161486614070059907571911548826570017617728568419
m: 100000000000000000000000000
c5: 22
c0: -31
skew: 1.07
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:63540, largePrimes:1452971 encountered
Relations: rels:1426412, finalFF:147328
Max relations in full relation-set: 28
Initial matrix: 127557 x 147328 with sparse part having weight 11031003.
Pruned matrix : 122110 x 122811 with weight 7660398.
Total sieving time: 4.23 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.42 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10133-319

c91

name 名前Sinkiti Sibata
date 日付June 25, 2008 01:50:57 UTC 2008 年 6 月 25 日 (水) 10 時 50 分 57 秒 (日本時間)
composite number 合成数
1675438386538360779538911366534090700731296549280307459985836895534653957674705576560988433<91>
prime factors 素因数
5639657496580140043807608755154479<34>
297081584751261613839479981912844720413453322599248782527<57>
factorization results 素因数分解の結果
Wed Jun 25 07:41:23 2008  Msieve v. 1.36
Wed Jun 25 07:41:23 2008  random seeds: c50e3e98 41efd23e
Wed Jun 25 07:41:23 2008  factoring 1675438386538360779538911366534090700731296549280307459985836895534653957674705576560988433 (91 digits)
Wed Jun 25 07:41:25 2008  no P-1/P+1/ECM available, skipping
Wed Jun 25 07:41:25 2008  commencing quadratic sieve (91-digit input)
Wed Jun 25 07:41:25 2008  using multiplier of 3
Wed Jun 25 07:41:25 2008  using 64kb Pentium 4 sieve core
Wed Jun 25 07:41:25 2008  sieve interval: 18 blocks of size 65536
Wed Jun 25 07:41:25 2008  processing polynomials in batches of 6
Wed Jun 25 07:41:25 2008  using a sieve bound of 1648001 (62353 primes)
Wed Jun 25 07:41:25 2008  using large prime bound of 145024088 (27 bits)
Wed Jun 25 07:41:25 2008  using double large prime bound of 490447101569216 (42-49 bits)
Wed Jun 25 07:41:25 2008  using trial factoring cutoff of 49 bits
Wed Jun 25 07:41:25 2008  polynomial 'A' values have 12 factors
Wed Jun 25 10:35:54 2008  62959 relations (16185 full + 46774 combined from 698397 partial), need 62449
Wed Jun 25 10:35:57 2008  begin with 714582 relations
Wed Jun 25 10:35:58 2008  reduce to 156061 relations in 11 passes
Wed Jun 25 10:35:58 2008  attempting to read 156061 relations
Wed Jun 25 10:36:02 2008  recovered 156061 relations
Wed Jun 25 10:36:02 2008  recovered 138295 polynomials
Wed Jun 25 10:36:02 2008  attempting to build 62959 cycles
Wed Jun 25 10:36:02 2008  found 62959 cycles in 5 passes
Wed Jun 25 10:36:02 2008  distribution of cycle lengths:
Wed Jun 25 10:36:02 2008     length 1 : 16185
Wed Jun 25 10:36:02 2008     length 2 : 11807
Wed Jun 25 10:36:02 2008     length 3 : 11185
Wed Jun 25 10:36:02 2008     length 4 : 8494
Wed Jun 25 10:36:02 2008     length 5 : 6109
Wed Jun 25 10:36:02 2008     length 6 : 3932
Wed Jun 25 10:36:02 2008     length 7 : 2309
Wed Jun 25 10:36:02 2008     length 9+: 2938
Wed Jun 25 10:36:02 2008  largest cycle: 21 relations
Wed Jun 25 10:36:03 2008  matrix is 62353 x 62959 (15.9 MB) with weight 3905559 (62.03/col)
Wed Jun 25 10:36:03 2008  sparse part has weight 3905559 (62.03/col)
Wed Jun 25 10:36:04 2008  filtering completed in 3 passes
Wed Jun 25 10:36:04 2008  matrix is 58686 x 58749 (14.8 MB) with weight 3639529 (61.95/col)
Wed Jun 25 10:36:04 2008  sparse part has weight 3639529 (61.95/col)
Wed Jun 25 10:36:04 2008  saving the first 48 matrix rows for later
Wed Jun 25 10:36:04 2008  matrix is 58638 x 58749 (9.6 MB) with weight 2901339 (49.39/col)
Wed Jun 25 10:36:04 2008  sparse part has weight 2164287 (36.84/col)
Wed Jun 25 10:36:04 2008  matrix includes 64 packed rows
Wed Jun 25 10:36:04 2008  using block size 21845 for processor cache size 512 kB
Wed Jun 25 10:36:05 2008  commencing Lanczos iteration
Wed Jun 25 10:36:05 2008  memory use: 9.2 MB
Wed Jun 25 10:36:43 2008  lanczos halted after 929 iterations (dim = 58636)
Wed Jun 25 10:36:43 2008  recovered 18 nontrivial dependencies
Wed Jun 25 10:36:44 2008  prp34 factor: 5639657496580140043807608755154479
Wed Jun 25 10:36:44 2008  prp57 factor: 297081584751261613839479981912844720413453322599248782527
Wed Jun 25 10:36:44 2008  elapsed time 02:55:21
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10136-319

c94

name 名前Sinkiti Sibata
date 日付June 25, 2008 06:59:11 UTC 2008 年 6 月 25 日 (水) 15 時 59 分 11 秒 (日本時間)
composite number 合成数
3326007009814665382594988238225932795513919969611140665785160095361635024439266642871779407951<94>
prime factors 素因数
70140031482922619884047309665806073419879<41>
47419525476324695463991738004843827169691997828599769<53>
factorization results 素因数分解の結果
Wed Jun 25 10:55:40 2008  Msieve v. 1.36
Wed Jun 25 10:55:40 2008  random seeds: df7de77d 5750ec7f
Wed Jun 25 10:55:40 2008  factoring 3326007009814665382594988238225932795513919969611140665785160095361635024439266642871779407951 (94 digits)
Wed Jun 25 10:55:41 2008  no P-1/P+1/ECM available, skipping
Wed Jun 25 10:55:42 2008  commencing quadratic sieve (94-digit input)
Wed Jun 25 10:55:42 2008  using multiplier of 31
Wed Jun 25 10:55:42 2008  using 64kb Pentium 4 sieve core
Wed Jun 25 10:55:42 2008  sieve interval: 18 blocks of size 65536
Wed Jun 25 10:55:42 2008  processing polynomials in batches of 6
Wed Jun 25 10:55:42 2008  using a sieve bound of 2021197 (75294 primes)
Wed Jun 25 10:55:42 2008  using large prime bound of 270840398 (28 bits)
Wed Jun 25 10:55:42 2008  using double large prime bound of 1509677378791104 (42-51 bits)
Wed Jun 25 10:55:42 2008  using trial factoring cutoff of 51 bits
Wed Jun 25 10:55:42 2008  polynomial 'A' values have 12 factors
Wed Jun 25 15:40:24 2008  75402 relations (19171 full + 56231 combined from 1058328 partial), need 75390
Wed Jun 25 15:40:28 2008  begin with 1077499 relations
Wed Jun 25 15:40:29 2008  reduce to 192564 relations in 10 passes
Wed Jun 25 15:40:29 2008  attempting to read 192564 relations
Wed Jun 25 15:40:35 2008  recovered 192564 relations
Wed Jun 25 15:40:35 2008  recovered 174670 polynomials
Wed Jun 25 15:40:35 2008  attempting to build 75402 cycles
Wed Jun 25 15:40:35 2008  found 75402 cycles in 5 passes
Wed Jun 25 15:40:35 2008  distribution of cycle lengths:
Wed Jun 25 15:40:35 2008     length 1 : 19171
Wed Jun 25 15:40:35 2008     length 2 : 13461
Wed Jun 25 15:40:35 2008     length 3 : 13067
Wed Jun 25 15:40:35 2008     length 4 : 10176
Wed Jun 25 15:40:35 2008     length 5 : 7411
Wed Jun 25 15:40:35 2008     length 6 : 4990
Wed Jun 25 15:40:35 2008     length 7 : 3086
Wed Jun 25 15:40:35 2008     length 9+: 4040
Wed Jun 25 15:40:35 2008  largest cycle: 22 relations
Wed Jun 25 15:40:36 2008  matrix is 75294 x 75402 (20.0 MB) with weight 4929129 (65.37/col)
Wed Jun 25 15:40:36 2008  sparse part has weight 4929129 (65.37/col)
Wed Jun 25 15:40:38 2008  filtering completed in 4 passes
Wed Jun 25 15:40:38 2008  matrix is 71405 x 71469 (19.1 MB) with weight 4713847 (65.96/col)
Wed Jun 25 15:40:38 2008  sparse part has weight 4713847 (65.96/col)
Wed Jun 25 15:40:38 2008  saving the first 48 matrix rows for later
Wed Jun 25 15:40:38 2008  matrix is 71357 x 71469 (12.9 MB) with weight 3798547 (53.15/col)
Wed Jun 25 15:40:38 2008  sparse part has weight 2962125 (41.45/col)
Wed Jun 25 15:40:38 2008  matrix includes 64 packed rows
Wed Jun 25 15:40:38 2008  using block size 21845 for processor cache size 512 kB
Wed Jun 25 15:40:39 2008  commencing Lanczos iteration
Wed Jun 25 15:40:39 2008  memory use: 11.9 MB
Wed Jun 25 15:41:38 2008  lanczos halted after 1130 iterations (dim = 71357)
Wed Jun 25 15:41:38 2008  recovered 18 nontrivial dependencies
Wed Jun 25 15:41:40 2008  prp41 factor: 70140031482922619884047309665806073419879
Wed Jun 25 15:41:40 2008  prp53 factor: 47419525476324695463991738004843827169691997828599769
Wed Jun 25 15:41:40 2008  elapsed time 04:46:00
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10137-319

c129

name 名前Serge Batalov
date 日付June 25, 2008 02:51:25 UTC 2008 年 6 月 25 日 (水) 11 時 51 分 25 秒 (日本時間)
composite number 合成数
364923068079077051345646208213109615163068484659184173606608115958004538540567489875997792910118943908918763856606819776147839937<129>
prime factors 素因数
4230643473881898745530247026033528758893<40>
86257107301040353258760835519646764214155993239698998324248576055986190717546106427894309<89>
factorization results 素因数分解の結果
Tue Jun 24 17:18:34 2008  Msieve v. 1.36
Tue Jun 24 17:18:34 2008  random seeds: 61323b09 a250f5eb
Tue Jun 24 17:18:34 2008  factoring 364923068079077051345646208213109615163068484659184173606608115958004538540567489875997792910118943908918763856606819776147839937 (129 digits)
Tue Jun 24 17:18:35 2008  no P-1/P+1/ECM available, skipping
Tue Jun 24 17:18:35 2008  commencing number field sieve (129-digit input)
Tue Jun 24 17:18:35 2008  R0: -1000000000000000000000000000
Tue Jun 24 17:18:35 2008  R1:  1
Tue Jun 24 17:18:35 2008  A0: -31
Tue Jun 24 17:18:35 2008  A1:  0
Tue Jun 24 17:18:35 2008  A2:  0
Tue Jun 24 17:18:35 2008  A3:  0
Tue Jun 24 17:18:35 2008  A4:  0
Tue Jun 24 17:18:35 2008  A5:  2200
Tue Jun 24 17:18:35 2008  size score = 7.036318e-10, Murphy alpha = -0.077176, combined = 7.219677e-10
Tue Jun 24 17:18:35 2008  generating factor base
Tue Jun 24 17:18:36 2008  factor base complete:
Tue Jun 24 17:18:36 2008  78498 rational roots (max prime = 999983)
Tue Jun 24 17:18:36 2008  64300 algebraic roots (max prime = 799999)
Tue Jun 24 17:18:36 2008  a range: [-2000000, 2000000]
Tue Jun 24 17:18:36 2008  b range: [1, 200]
Tue Jun 24 17:18:36 2008  number of hash buckets: 16
Tue Jun 24 17:18:36 2008  sieve block size: 65536
Tue Jun 24 17:18:36 2008  
Tue Jun 24 17:18:36 2008  maximum RFB prime: 999983
Tue Jun 24 17:18:36 2008  RFB entries: 78498
Tue Jun 24 17:18:36 2008  medium RFB entries: 6542
Tue Jun 24 17:18:36 2008  resieved RFB entries: 6374
Tue Jun 24 17:18:36 2008  small RFB prime powers: 28
Tue Jun 24 17:18:36 2008  projective RFB roots: 0
Tue Jun 24 17:18:36 2008  RFB trial factoring cutoff: 52 or 78 bits
Tue Jun 24 17:18:36 2008  single large prime RFB range: 20 - 25 bits
Tue Jun 24 17:18:36 2008  double large prime RFB range: 40 - 48 bits
Tue Jun 24 17:18:36 2008  triple large prime RFB range: 63 - 73 bits
...
Tue Jun 24 19:41:53 2008  restarting with 1854989 relations
Tue Jun 24 19:41:53 2008  
Tue Jun 24 19:41:53 2008  commencing relation filtering
Tue Jun 24 19:41:53 2008  commencing duplicate removal, pass 1
Tue Jun 24 19:42:07 2008  found 320701 hash collisions in 1854989 relations
Tue Jun 24 19:42:07 2008  commencing duplicate removal, pass 2
Tue Jun 24 19:42:08 2008  found 368524 duplicates and 1486465 unique relations
Tue Jun 24 19:42:08 2008  memory use: 39.7 MB
Tue Jun 24 19:42:08 2008  ignoring smallest 86756 rational and 87067 algebraic ideals
Tue Jun 24 19:42:08 2008  filtering rational ideals above 1114112
Tue Jun 24 19:42:08 2008  filtering algebraic ideals above 1114112
Tue Jun 24 19:42:08 2008  need 260734 more relations than ideals
Tue Jun 24 19:42:08 2008  commencing singleton removal, pass 1
Tue Jun 24 19:42:20 2008  relations with 0 large ideals: 43587
Tue Jun 24 19:42:20 2008  relations with 1 large ideals: 319974
Tue Jun 24 19:42:20 2008  relations with 2 large ideals: 715856
Tue Jun 24 19:42:20 2008  relations with 3 large ideals: 331819
Tue Jun 24 19:42:20 2008  relations with 4 large ideals: 56954
Tue Jun 24 19:42:20 2008  relations with 5 large ideals: 3204
Tue Jun 24 19:42:20 2008  relations with 6 large ideals: 15071
Tue Jun 24 19:42:20 2008  relations with 7+ large ideals: 0
Tue Jun 24 19:42:20 2008  1486465 relations and about 1477266 large ideals
Tue Jun 24 19:42:20 2008  commencing singleton removal, pass 2
Tue Jun 24 19:42:33 2008  found 825689 singletons
Tue Jun 24 19:42:33 2008  current dataset: 660776 relations and about 478158 large ideals
Tue Jun 24 19:42:33 2008  commencing singleton removal, pass 3
Tue Jun 24 19:42:38 2008  found 117444 singletons
Tue Jun 24 19:42:38 2008  current dataset: 543332 relations and about 353249 large ideals
Tue Jun 24 19:42:38 2008  commencing singleton removal, final pass
Tue Jun 24 19:42:43 2008  memory use: 15.3 MB
Tue Jun 24 19:42:43 2008  commencing in-memory singleton removal
Tue Jun 24 19:42:43 2008  begin with 543332 relations and 357367 unique ideals
Tue Jun 24 19:42:44 2008  reduce to 500693 relations and 314037 ideals in 9 passes
Tue Jun 24 19:42:44 2008  max relations containing the same ideal: 21
Tue Jun 24 19:42:44 2008  filtering rational ideals above 445644
Tue Jun 24 19:42:44 2008  filtering algebraic ideals above 445644
Tue Jun 24 19:42:44 2008  need 74845 more relations than ideals
Tue Jun 24 19:42:44 2008  commencing singleton removal, final pass
Tue Jun 24 19:42:49 2008  keeping 412739 ideals with weight <= 20, new excess is 75080
Tue Jun 24 19:42:49 2008  memory use: 16.5 MB
Tue Jun 24 19:42:49 2008  commencing in-memory singleton removal
Tue Jun 24 19:42:49 2008  begin with 500711 relations and 412739 unique ideals
Tue Jun 24 19:42:49 2008  reduce to 500015 relations and 412037 ideals in 6 passes
Tue Jun 24 19:42:49 2008  max relations containing the same ideal: 20
Tue Jun 24 19:42:50 2008  relations with 0 large ideals: 1946
Tue Jun 24 19:42:50 2008  relations with 1 large ideals: 11438
Tue Jun 24 19:42:50 2008  relations with 2 large ideals: 68326
Tue Jun 24 19:42:50 2008  relations with 3 large ideals: 149117
Tue Jun 24 19:42:50 2008  relations with 4 large ideals: 153528
Tue Jun 24 19:42:50 2008  relations with 5 large ideals: 82207
Tue Jun 24 19:42:50 2008  relations with 6 large ideals: 29396
Tue Jun 24 19:42:50 2008  relations with 7+ large ideals: 4057
Tue Jun 24 19:42:50 2008  commencing 2-way merge
Tue Jun 24 19:42:50 2008  reduce to 317885 relation sets and 229906 unique ideals
Tue Jun 24 19:42:50 2008  commencing full merge
Tue Jun 24 19:42:55 2008  memory use: 25.6 MB
Tue Jun 24 19:42:55 2008  found 159297 cycles, need 148106
Tue Jun 24 19:42:55 2008  weight of 148106 cycles is about 10444887 (70.52/cycle)
Tue Jun 24 19:42:55 2008  distribution of cycle lengths:
Tue Jun 24 19:42:55 2008  1 relations: 9928
Tue Jun 24 19:42:55 2008  2 relations: 14156
Tue Jun 24 19:42:55 2008  3 relations: 16705
Tue Jun 24 19:42:55 2008  4 relations: 16718
Tue Jun 24 19:42:55 2008  5 relations: 16065
Tue Jun 24 19:42:55 2008  6 relations: 14160
Tue Jun 24 19:42:55 2008  7 relations: 12125
Tue Jun 24 19:42:55 2008  8 relations: 10328
Tue Jun 24 19:42:55 2008  9 relations: 8802
Tue Jun 24 19:42:55 2008  10+ relations: 29119
Tue Jun 24 19:42:55 2008  heaviest cycle: 18 relations
Tue Jun 24 19:42:55 2008  commencing cycle optimization
Tue Jun 24 19:42:56 2008  start with 917995 relations
Tue Jun 24 19:42:58 2008  pruned 13768 relations
Tue Jun 24 19:42:58 2008  memory use: 28.1 MB
Tue Jun 24 19:42:58 2008  distribution of cycle lengths:
Tue Jun 24 19:42:58 2008  1 relations: 9928
Tue Jun 24 19:42:58 2008  2 relations: 14233
Tue Jun 24 19:42:58 2008  3 relations: 16970
Tue Jun 24 19:42:58 2008  4 relations: 16921
Tue Jun 24 19:42:58 2008  5 relations: 16400
Tue Jun 24 19:42:58 2008  6 relations: 14355
Tue Jun 24 19:42:58 2008  7 relations: 12496
Tue Jun 24 19:42:58 2008  8 relations: 10360
Tue Jun 24 19:42:58 2008  9 relations: 8865
Tue Jun 24 19:42:58 2008  10+ relations: 27578
Tue Jun 24 19:42:58 2008  heaviest cycle: 18 relations
Tue Jun 24 19:42:58 2008  elapsed time 00:01:07
Tue Jun 24 19:42:58 2008  
Tue Jun 24 19:42:58 2008  
Tue Jun 24 19:42:58 2008  Msieve v. 1.36
Tue Jun 24 19:42:58 2008  random seeds: 2b1162a1 26955b9f
Tue Jun 24 19:42:58 2008  factoring 364923068079077051345646208213109615163068484659184173606608115958004538540567489875997792910118943908918763856606819776147839937 (129 digits)
Tue Jun 24 19:42:59 2008  no P-1/P+1/ECM available, skipping
Tue Jun 24 19:42:59 2008  commencing number field sieve (129-digit input)
Tue Jun 24 19:42:59 2008  R0: -1000000000000000000000000000
Tue Jun 24 19:42:59 2008  R1:  1
Tue Jun 24 19:42:59 2008  A0: -31
Tue Jun 24 19:42:59 2008  A1:  0
Tue Jun 24 19:42:59 2008  A2:  0
Tue Jun 24 19:42:59 2008  A3:  0
Tue Jun 24 19:42:59 2008  A4:  0
Tue Jun 24 19:42:59 2008  A5:  2200
Tue Jun 24 19:42:59 2008  size score = 7.036318e-10, Murphy alpha = -0.077176, combined = 7.219677e-10
Tue Jun 24 19:42:59 2008  
Tue Jun 24 19:42:59 2008  commencing linear algebra
Tue Jun 24 19:42:59 2008  read 148106 cycles
Tue Jun 24 19:43:00 2008  cycles contain 434300 unique relations
Tue Jun 24 19:43:03 2008  read 434300 relations
Tue Jun 24 19:43:04 2008  using 32 quadratic characters above 33549864
Tue Jun 24 19:43:08 2008  building initial matrix
Tue Jun 24 19:43:13 2008  memory use: 59.8 MB
Tue Jun 24 19:43:14 2008  read 148106 cycles
Tue Jun 24 19:43:14 2008  matrix is 147922 x 148106 (44.4 MB) with weight 14140130 (95.47/col)
Tue Jun 24 19:43:14 2008  sparse part has weight 10001765 (67.53/col)
Tue Jun 24 19:43:16 2008  filtering completed in 2 passes
Tue Jun 24 19:43:16 2008  matrix is 147661 x 147845 (44.3 MB) with weight 14122072 (95.52/col)
Tue Jun 24 19:43:16 2008  sparse part has weight 9991367 (67.58/col)
Tue Jun 24 19:43:17 2008  read 147845 cycles
Tue Jun 24 19:43:17 2008  matrix is 147661 x 147845 (44.3 MB) with weight 14122072 (95.52/col)
Tue Jun 24 19:43:17 2008  sparse part has weight 9991367 (67.58/col)
Tue Jun 24 19:43:17 2008  saving the first 48 matrix rows for later
Tue Jun 24 19:43:17 2008  matrix is 147613 x 147845 (41.9 MB) with weight 10871070 (73.53/col)
Tue Jun 24 19:43:17 2008  sparse part has weight 9508778 (64.32/col)
Tue Jun 24 19:43:17 2008  matrix includes 64 packed rows
Tue Jun 24 19:43:17 2008  using block size 43690 for processor cache size 1024 kB
Tue Jun 24 19:43:19 2008  commencing Lanczos iteration
Tue Jun 24 19:43:19 2008  memory use: 38.1 MB
...
linear algebra completed 145627 out of 147845 dimensions (98.5%)
lanczos halted after 2337 iterations (dim = 147613)
recovered 51 nontrivial dependencies
elapsed time 00:04:39
=>nice -n 19  "/depts/BioInf/Batalov/MERSE/ggbin/msieve" -s vs3.dat -l ggnfs.log -i vs3.ini -v -nf vs3.fb -t 1 -nc3


Msieve v. 1.36
Tue Jun 24 19:47:37 2008
random seeds: df5fa5c3 612405f0
factoring 364923068079077051345646208213109615163068484659184173606608115958004538540567489875997792910118943908918763856606819776147839937 (129 digits)
no P-1/P+1/ECM available, skipping
commencing number field sieve (129-digit input)
R0: -1000000000000000000000000000
R1:  1
A0: -31
A1:  0
A2:  0
A3:  0
A4:  0
A5:  2200
size score = 7.036318e-10, Murphy alpha = -0.077176, combined = 7.219677e-10

commencing square root phase
reading relations for dependency 1
read 74221 cycles
cycles contain 270946 unique relations
read 270946 relations
multiplying 452950 relations
multiply complete, coefficients have about 13.57 million bits
initial square root is modulo 62672501
prp40 factor: 4230643473881898745530247026033528758893
prp89 factor: 86257107301040353258760835519646764214155993239698998324248576055986190717546106427894309
elapsed time 00:01:57
-> Computing time scale for this machine...
sumName = s138-vs3.txt
-> Factorization summary written to s138-vs3.txt.

N=364923068079077051345646208213109615163068484659184173606608115958004538540567489875997792910118943908918763856606819776147839937
  ( 129 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=4230643473881898745530247026033528758893
 r2=86257107301040353258760835519646764214155993239698998324248576055986190717546106427894309
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.944).
Factorization parameters were as follows:
#res:2795
name: 24441_137
n: 364923068079077051345646208213109615163068484659184173606608115958004538540567489875997792910118943908918763856606819776147839937
Y1: 1
Y0: -1000000000000000000000000000
c5: 2200
c0: -31
skew: 0.43
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1325001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147613 x 147845
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

22×10138-319

c114

name 名前Sinkiti Sibata
date 日付June 25, 2008 14:56:15 UTC 2008 年 6 月 25 日 (水) 23 時 56 分 15 秒 (日本時間)
composite number 合成数
960250767177323400882844976192636287552667446686675098746530710972955996716839535226165913888973758453802143681913<114>
prime factors 素因数
3825837938755335201721050723402917950510257463<46>
250990967874013770505290290531406928058853824186456271102008457235151<69>
factorization results 素因数分解の結果
Number: 24441_138
N=960250767177323400882844976192636287552667446686675098746530710972955996716839535226165913888973758453802143681913
  ( 114 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=3825837938755335201721050723402917950510257463 (pp46)
 r2=250990967874013770505290290531406928058853824186456271102008457235151 (pp69)
Version: GGNFS-0.77.1-20060513-k8
Total time: 13.38 hours.
Scaled time: 26.78 units (timescale=2.002).
Factorization parameters were as follows:
name: 24441_138
n: 960250767177323400882844976192636287552667446686675098746530710972955996716839535226165913888973758453802143681913
m: 2000000000000000000000000000
c5: 1375
c0: -62
skew: 0.54
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2125001)
Primes: RFBsize:78498, AFBsize:63870, largePrimes:1660537 encountered
Relations: rels:1687384, finalFF:168711
Max relations in full relation-set: 28
Initial matrix: 142434 x 168711 with sparse part having weight 18605604.
Pruned matrix : 135990 x 136766 with weight 13766077.
Total sieving time: 13.07 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 13.38 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10140-319

c117

name 名前Sinkiti Sibata
date 日付June 25, 2008 22:52:02 UTC 2008 年 6 月 26 日 (木) 7 時 52 分 2 秒 (日本時間)
composite number 合成数
169311715343326193553763454607944049710794497657459785323473749818757455099325376029901018323588244645974454037836409<117>
prime factors 素因数
63355190713391485500322124879334139<35>
2672420577333034720731187670756586117081501976010031863655603623277223815204027931<82>
factorization results 素因数分解の結果
Number: 24441_140
N=169311715343326193553763454607944049710794497657459785323473749818757455099325376029901018323588244645974454037836409
  ( 117 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=63355190713391485500322124879334139 (pp35)
 r2=2672420577333034720731187670756586117081501976010031863655603623277223815204027931 (pp82)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 13.15 hours.
Scaled time: 8.89 units (timescale=0.676).
Factorization parameters were as follows:
name: 24441_140
n: 169311715343326193553763454607944049710794497657459785323473749818757455099325376029901018323588244645974454037836409
m: 10000000000000000000000000000
c5: 22
c0: -31
skew: 1.07
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1850001)
Primes: RFBsize:100021, AFBsize:99815, largePrimes:2696036 encountered
Relations: rels:2660778, finalFF:252054
Max relations in full relation-set: 28
Initial matrix: 199902 x 252054 with sparse part having weight 23135386.
Pruned matrix : 183699 x 184762 with weight 14732105.
Total sieving time: 12.01 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 13.15 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10143-319

c106

name 名前Sinkiti Sibata
date 日付June 26, 2008 21:43:25 UTC 2008 年 6 月 27 日 (金) 6 時 43 分 25 秒 (日本時間)
composite number 合成数
3020798291895136359891852704095799554819730181878610339127208508607228112945999193267116836929465838130573<106>
prime factors 素因数
51705751863367893367331438399782672546461708678915431<53>
58422867534690837233698901081105668200911196544155883<53>
factorization results 素因数分解の結果
Number: 24441_143
N=3020798291895136359891852704095799554819730181878610339127208508607228112945999193267116836929465838130573
  ( 106 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=51705751863367893367331438399782672546461708678915431 (pp53)
 r2=58422867534690837233698901081105668200911196544155883 (pp53)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 21.09 hours.
Scaled time: 14.26 units (timescale=0.676).
Factorization parameters were as follows:
name: 24441_143
n: 3020798291895136359891852704095799554819730181878610339127208508607228112945999193267116836929465838130573
m: 20000000000000000000000000000
c5: 1375
c0: -62
skew: 0.54
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2650001)
Primes: RFBsize:100021, AFBsize:99985, largePrimes:2812854 encountered
Relations: rels:2793602, finalFF:225695
Max relations in full relation-set: 28
Initial matrix: 200072 x 225695 with sparse part having weight 25021839.
Pruned matrix : 193287 x 194351 with weight 20050117.
Total sieving time: 19.53 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.29 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 21.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10150-319

c109

name 名前Serge Batalov
date 日付June 25, 2008 18:45:11 UTC 2008 年 6 月 26 日 (木) 3 時 45 分 11 秒 (日本時間)
composite number 合成数
1061728918767558176817203458627519930862711303791793816419560970916391073286967729158741586433757396924083357<109>
prime factors 素因数
45972127484749710794015017878432605888239<41>
23095057306620505652516576474633038696841517536460420603268895763763<68>
factorization results 素因数分解の結果
Number: 24441_150
N=1061728918767558176817203458627519930862711303791793816419560970916391073286967729158741586433757396924083357
  ( 109 digits)
Divisors found:
 r1=45972127484749710794015017878432605888239 (p41)
 r2=23095057306620505652516576474633038696841517536460420603268895763763 (p68)

Version: Msieve v. 1.36; pol51 - gnfs,109
Total time: 9.60 hours.
Scaled time: 28.33 units (timescale=2.951).
Factorization parameters were as follows:
name: 24441_150
n: 1061728918767558176817203458627519930862711303791793816419560970916391073286967729158741586433757396924083357
skew: 11015.45
# norm 1.37e+14
c5: 3600
c4: 1023682614
c3: -5433223933674
c2: -100960073103402731
c1: 129616438775426891628
c0: 1513442468498894463493856
# alpha -4.31
Y1: 108792954869
Y0: -783319249020200496039
# Murphy_E 1.21e-09
# M 527144102954660051708727624048815718732776484104453757771420413640585603452113943932347220759815262186792022
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, 2700001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 429719 x 429967
Total sieving time: 5.50 hours. 
Total relation processing time: 0.00 hours. (see below)
Matrix solve time: 0.00 hours.
Time per square root: 0.00 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: 5.60 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)


Tue Jun 24 20:43:05 2008  Msieve v. 1.36
Tue Jun 24 20:43:05 2008  random seeds: 419df898 1074d5e8
Tue Jun 24 20:43:05 2008  factoring 1061728918767558176817203458627519930862711303791793816419560970916391073286967729158741586433757396924083357 (109 digits)
Tue Jun 24 20:43:05 2008  no P-1/P+1/ECM available, skipping
Tue Jun 24 20:43:05 2008  commencing number field sieve (109-digit input)
Tue Jun 24 20:43:05 2008  R0: -783319249020200496039
Tue Jun 24 20:43:05 2008  R1:  108792954869
Tue Jun 24 20:43:05 2008  A0:  1513442468498894463493856
Tue Jun 24 20:43:05 2008  A1:  129616438775426891628
Tue Jun 24 20:43:05 2008  A2: -100960073103402731
Tue Jun 24 20:43:05 2008  A3: -5433223933674
Tue Jun 24 20:43:05 2008  A4:  1023682614
Tue Jun 24 20:43:05 2008  A5:  3600
Tue Jun 24 20:43:05 2008  size score = 5.545366e-11, Murphy alpha = -4.305145, combined = 2.328970e-10
Tue Jun 24 20:43:05 2008  generating factor base
Tue Jun 24 20:43:07 2008  factor base complete:
Tue Jun 24 20:43:07 2008  230209 rational roots (max prime = 3199997)
Tue Jun 24 20:43:07 2008  229805 algebraic roots (max prime = 3199997)
Tue Jun 24 20:43:07 2008  a range: [-4000000, 4000000]
Tue Jun 24 20:43:07 2008  b range: [1, 300]
...
Wed Jun 25 02:46:14 2008  sparse part has weight 29438035 (67.80/col)
Wed Jun 25 02:46:28 2008  filtering completed in 3 passes
Wed Jun 25 02:46:28 2008  matrix is 429767 x 429967 (131.2 MB) with weight 43306866 (100.72/col)
Wed Jun 25 02:46:28 2008  sparse part has weight 29228734 (67.98/col)
Wed Jun 25 02:46:33 2008  read 429967 cycles
Wed Jun 25 02:46:34 2008  matrix is 429767 x 429967 (131.2 MB) with weight 43306866 (100.72/col)
Wed Jun 25 02:46:34 2008  sparse part has weight 29228734 (67.98/col)
Wed Jun 25 02:46:34 2008  saving the first 48 matrix rows for later
Wed Jun 25 02:46:34 2008  matrix is 429719 x 429967 (126.5 MB) with weight 33748060 (78.49/col)
Wed Jun 25 02:46:34 2008  sparse part has weight 28857124 (67.11/col)
Wed Jun 25 02:46:34 2008  matrix includes 64 packed rows
Wed Jun 25 02:46:34 2008  using block size 43690 for processor cache size 1024 kB
Wed Jun 25 02:46:37 2008  commencing Lanczos iteration
Wed Jun 25 02:46:37 2008  memory use: 116.5 MB
Wed Jun 25 03:22:14 2008  lanczos halted after 6796 iterations (dim = 429715)
Wed Jun 25 03:22:15 2008  recovered 41 nontrivial dependencies
Wed Jun 25 03:22:15 2008  elapsed time 00:36:53
Wed Jun 25 03:22:15 2008  
Wed Jun 25 03:22:15 2008  
Wed Jun 25 03:22:15 2008  Msieve v. 1.36
Wed Jun 25 03:22:15 2008  random seeds: 17402b89 00ef29ea
Wed Jun 25 03:22:15 2008  factoring 1061728918767558176817203458627519930862711303791793816419560970916391073286967729158741586433757396924083357 (109 digits)
Wed Jun 25 03:22:16 2008  no P-1/P+1/ECM available, skipping
Wed Jun 25 03:22:16 2008  commencing number field sieve (109-digit input)
Wed Jun 25 03:22:16 2008  R0: -783319249020200496039
Wed Jun 25 03:22:16 2008  R1:  108792954869
Wed Jun 25 03:22:16 2008  A0:  1513442468498894463493856
Wed Jun 25 03:22:16 2008  A1:  129616438775426891628
Wed Jun 25 03:22:16 2008  A2: -100960073103402731
Wed Jun 25 03:22:16 2008  A3: -5433223933674
Wed Jun 25 03:22:16 2008  A4:  1023682614
Wed Jun 25 03:22:16 2008  A5:  3600
Wed Jun 25 03:22:16 2008  size score = 5.545366e-11, Murphy alpha = -4.305145, combined = 2.328970e-10
Wed Jun 25 03:22:16 2008  
Wed Jun 25 03:22:16 2008  commencing square root phase
Wed Jun 25 03:22:16 2008  reading relations for dependency 1
Wed Jun 25 03:22:16 2008  read 215006 cycles
Wed Jun 25 03:22:17 2008  cycles contain 966311 unique relations
Wed Jun 25 03:22:26 2008  read 966311 relations
Wed Jun 25 03:22:31 2008  multiplying 1374744 relations
Wed Jun 25 03:25:41 2008  multiply complete, coefficients have about 57.91 million bits
Wed Jun 25 03:25:44 2008  initial square root is modulo 205847419
Wed Jun 25 03:32:07 2008  prp41 factor: 45972127484749710794015017878432605888239
Wed Jun 25 03:32:07 2008  prp68 factor: 23095057306620505652516576474633038696841517536460420603268895763763
Wed Jun 25 03:32:07 2008  elapsed time 00:09:52
software ソフトウェア
pol51; Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

22×10152-319

c141

name 名前Sinkiti Sibata
date 日付June 28, 2008 21:47:21 UTC 2008 年 6 月 29 日 (日) 6 時 47 分 21 秒 (日本時間)
composite number 合成数
701232074521790742830270859869370784937896181312621274744822033496199307723301462181157327064017251111525772069827393633543232268035105331843<141>
prime factors 素因数
267966650482880119367198545606586717<36>
31215354255566197538002781232347164771547<41>
83832565493279521861357860130355126983160895444458139420999716557<65>
factorization results 素因数分解の結果
Number: 24441_152
N=701232074521790742830270859869370784937896181312621274744822033496199307723301462181157327064017251111525772069827393633543232268035105331843
  ( 141 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=267966650482880119367198545606586717 (pp36)
 r2=31215354255566197538002781232347164771547 (pp41)
 r3=83832565493279521861357860130355126983160895444458139420999716557 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 44.29 hours.
Scaled time: 29.94 units (timescale=0.676).
Factorization parameters were as follows:
name: 24441_152
n: 701232074521790742830270859869370784937896181312621274744822033496199307723301462181157327064017251111525772069827393633543232268035105331843
m: 1000000000000000000000000000000
c5: 2200
c0: -31
skew: 0.43
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2400001)
Primes: RFBsize:176302, AFBsize:176210, largePrimes:5703677 encountered
Relations: rels:5676502, finalFF:516785
Max relations in full relation-set: 28
Initial matrix: 352579 x 516785 with sparse part having weight 48496265.
Pruned matrix : 293926 x 295752 with weight 26826377.
Total sieving time: 40.17 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.70 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 44.29 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

22×10153-319

c120

name 名前Sinkiti Sibata
date 日付June 26, 2008 11:08:58 UTC 2008 年 6 月 26 日 (木) 20 時 8 分 58 秒 (日本時間)
composite number 合成数
175405537793259231219488124213779154690238530622835181016940877487171118032255677027504477326241747103099776251715478619<120>
prime factors 素因数
4672251179457423783044554303760906137448973750934054087<55>
37541975175578769737137485685757194683231428146965223756007180237<65>
factorization results 素因数分解の結果
Number: 24441_153
N=175405537793259231219488124213779154690238530622835181016940877487171118032255677027504477326241747103099776251715478619
  ( 120 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=4672251179457423783044554303760906137448973750934054087 (pp55)
 r2=37541975175578769737137485685757194683231428146965223756007180237 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 37.78 hours.
Scaled time: 74.38 units (timescale=1.969).
Factorization parameters were as follows:
name: 24441_153
n: 175405537793259231219488124213779154690238530622835181016940877487171118032255677027504477326241747103099776251715478619
m: 2000000000000000000000000000000
c5: 1375
c0: -62
skew: 0.54
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:216848, largePrimes:5787943 encountered
Relations: rels:5857389, finalFF:638086
Max relations in full relation-set: 28
Initial matrix: 433730 x 638086 with sparse part having weight 53254032.
Pruned matrix : 322563 x 324795 with weight 33104563.
Total sieving time: 35.94 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 37.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10154-319

c131

name 名前Sinkiti Sibata
date 日付June 27, 2008 07:59:35 UTC 2008 年 6 月 27 日 (金) 16 時 59 分 35 秒 (日本時間)
composite number 合成数
12609091770904717240693985056152712545732991754181146303169573493897991028211382495502130245846221909822164021358484594677522337023<131>
prime factors 素因数
25070638326752702413568294387068201<35>
502942589916015173876187946749795727665325828159843838684451355988388130195810478642949230888423<96>
factorization results 素因数分解の結果
Number: 24441_154
N=12609091770904717240693985056152712545732991754181146303169573493897991028211382495502130245846221909822164021358484594677522337023
  ( 131 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=25070638326752702413568294387068201 (pp35)
 r2=502942589916015173876187946749795727665325828159843838684451355988388130195810478642949230888423 (pp96)
Version: GGNFS-0.77.1-20060513-k8
Total time: 37.39 hours.
Scaled time: 73.43 units (timescale=1.964).
Factorization parameters were as follows:
name: 24441_154
n: 12609091770904717240693985056152712545732991754181146303169573493897991028211382495502130245846221909822164021358484594677522337023
m: 10000000000000000000000000000000
c5: 11
c0: -155
skew: 1.7
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:216508, largePrimes:6026421 encountered
Relations: rels:6304162, finalFF:822234
Max relations in full relation-set: 28
Initial matrix: 433389 x 822234 with sparse part having weight 69650706.
Pruned matrix : 285741 x 287971 with weight 37845723.
Total sieving time: 35.53 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.54 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 37.39 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10157-319

c138

name 名前Sinkiti Sibata
date 日付June 28, 2008 12:36:54 UTC 2008 年 6 月 28 日 (土) 21 時 36 分 54 秒 (日本時間)
composite number 合成数
194906284835296689056161059734252486653472926503376515699092856713705334417156440133625881676221606796262345126825254838818544669397477967<138>
prime factors 素因数
44098693698355178723007115893291109054904999<44>
4419774566759251381250748538579444137486855579222989929121298784868474730416401309522649387033<94>
factorization results 素因数分解の結果
Number: 24441_157
N=194906284835296689056161059734252486653472926503376515699092856713705334417156440133625881676221606796262345126825254838818544669397477967
  ( 138 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=44098693698355178723007115893291109054904999 (pp44)
 r2=4419774566759251381250748538579444137486855579222989929121298784868474730416401309522649387033 (pp94)
Version: GGNFS-0.77.1-20060513-k8
Total time: 54.43 hours.
Scaled time: 108.85 units (timescale=2.000).
Factorization parameters were as follows:
name: 24441_157
n: 194906284835296689056161059734252486653472926503376515699092856713705334417156440133625881676221606796262345126825254838818544669397477967
m: 10000000000000000000000000000000
c5: 2200
c0: -31
skew: 0.43
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3700001)
Primes: RFBsize:283146, AFBsize:282969, largePrimes:5939096 encountered
Relations: rels:6178732, finalFF:832302
Max relations in full relation-set: 28
Initial matrix: 566182 x 832302 with sparse part having weight 55094693.
Pruned matrix : 372755 x 375649 with weight 39705875.
Total sieving time: 52.04 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.03 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 54.43 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

22×10162-319

c150

name 名前Robert Backstrom
date 日付June 29, 2008 09:46:01 UTC 2008 年 6 月 29 日 (日) 18 時 46 分 1 秒 (日本時間)
composite number 合成数
218133575454085489914759947173598865752402947025291892634882341632830313219197266117538854778381938634304794779037061562662852396167085943869950047901<150>
prime factors 素因数
14301556867419987422995670262853271843431921849<47>
15252435624754255559351197971224772317866956646695045907287784752020816148507378065192759386215178367749<104>
factorization results 素因数分解の結果
Number: n
N=218133575454085489914759947173598865752402947025291892634882341632830313219197266117538854778381938634304794779037061562662852396167085943869950047901
  ( 150 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Jun 29 16:01:24 2008  prp47 factor: 14301556867419987422995670262853271843431921849
Sun Jun 29 16:01:24 2008  prp104 factor: 15252435624754255559351197971224772317866956646695045907287784752020816148507378065192759386215178367749
Sun Jun 29 16:01:24 2008  elapsed time 00:52:21 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 44.63 hours.
Scaled time: 37.44 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_2_4_161_1
n: 218133575454085489914759947173598865752402947025291892634882341632830313219197266117538854778381938634304794779037061562662852396167085943869950047901
type: snfs
deg: 5
c5: 2200
c0: -31
skew: 0.43
m: 100000000000000000000000000000000
rlim: 4500000
alim: 4500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2500000
)
Primes: RFBsize:315948, AFBsize:315573, largePrimes:5606089 encountered
Relations: rels:5690538, finalFF:717744
Max relations in full relation-set: 28
Initial matrix: 631588 x 717744 with sparse part having weight 42037180.
Pruned matrix : 552185 x 555406 with weight 26967299.
Total sieving time: 44.45 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.5,2.5,100000
total time: 44.63 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

22×10164-319

c151

name 名前Robert Backstrom
date 日付July 1, 2008 02:15:21 UTC 2008 年 7 月 1 日 (火) 11 時 15 分 21 秒 (日本時間)
composite number 合成数
1604595590627550625150237684729477444026023270824767911255148304083581825227614724819356366988897922998432503475970715695690680776482715993969227654423<151>
prime factors 素因数
51845043108470586834361561919780616245850625521525516787582746406578547<71>
30949836173738031868495545589299632987292537377947824460601813620688132316642509<80>
factorization results 素因数分解の結果
Number: n
N=1604595590627550625150237684729477444026023270824767911255148304083581825227614724819356366988897922998432503475970715695690680776482715993969227654423
  ( 151 digits)
SNFS difficulty: 166 digits.
Divisors found:

Tue Jul 01 12:05:17 2008  prp71 factor: 51845043108470586834361561919780616245850625521525516787582746406578547
Tue Jul 01 12:05:17 2008  prp80 factor: 30949836173738031868495545589299632987292537377947824460601813620688132316642509
Tue Jul 01 12:05:17 2008  elapsed time 02:20:11 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 58.82 hours.
Scaled time: 103.57 units (timescale=1.761).
Factorization parameters were as follows:
name: KA_2_4_163_1
n: 1604595590627550625150237684729477444026023270824767911255148304083581825227614724819356366988897922998432503475970715695690680776482715993969227654423
type: snfs
skew: 1.70
deg: 5
c5: 11
c0: -155
m: 1000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2600267)
Primes: RFBsize:348513, AFBsize:348353, largePrimes:7679016 encountered
Relations: rels:7285979, finalFF:745129
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 58.55 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 58.82 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

22×10165-319

c139

name 名前Sinkiti Sibata
date 日付August 16, 2008 01:41:35 UTC 2008 年 8 月 16 日 (土) 10 時 41 分 35 秒 (日本時間)
composite number 合成数
4177842963701992033746833730712078164567800348143405756245054797703306366232238457460680059458300800412620841713791420956286274751524474583<139>
prime factors 素因数
9181028417573967427804067865162623442511111<43>
455051740794629015966935014142950094789983481286596107420482412029657149588773814025318977528753<96>
factorization results 素因数分解の結果
Number: 24441_165
N=4177842963701992033746833730712078164567800348143405756245054797703306366232238457460680059458300800412620841713791420956286274751524474583
  ( 139 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=9181028417573967427804067865162623442511111 (pp43)
 r2=455051740794629015966935014142950094789983481286596107420482412029657149588773814025318977528753 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 92.09 hours.
Scaled time: 92.92 units (timescale=1.009).
Factorization parameters were as follows:
name: 24441_165
n: 4177842963701992033746833730712078164567800348143405756245054797703306366232238457460680059458300800412620841713791420956286274751524474583
m: 1000000000000000000000000000000000
c5: 22
c0: -31
skew: 1.07
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 5800001)
Primes: RFBsize:348513, AFBsize:349063, largePrimes:6054324 encountered
Relations: rels:6306720, finalFF:875688
Max relations in full relation-set: 28
Initial matrix: 697642 x 875688 with sparse part having weight 62365519.
Pruned matrix : 559325 x 562877 with weight 44759532.
Total sieving time: 89.22 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 92.09 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:46:25 UTC 2008 年 7 月 24 日 (木) 16 時 46 分 25 秒 (日本時間)

22×10166-319

c160

name 名前Robert Backstrom
date 日付June 30, 2008 04:49:43 UTC 2008 年 6 月 30 日 (月) 13 時 49 分 43 秒 (日本時間)
composite number 合成数
1766911209587497953093599302301376953102490078251437681439192871104381428198667673452673889623000339399549117991254544465513254335857550718764621943204454267507<160>
prime factors 素因数
1054167195644633213538682942324589961665224175651<49>
1676120464464856575059394614578455426232363135439230363648406284394705342167031244505148822086872348576246745457<112>
factorization results 素因数分解の結果
Number: n
N=1766911209587497953093599302301376953102490078251437681439192871104381428198667673452673889623000339399549117991254544465513254335857550718764621943204454267507
  ( 160 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Jun 30 13:57:25 2008  prp49 factor: 1054167195644633213538682942324589961665224175651
Mon Jun 30 13:57:25 2008  prp112 factor: 1676120464464856575059394614578455426232363135439230363648406284394705342167031244505148822086872348576246745457
Mon Jun 30 13:57:25 2008  elapsed time 01:54:07 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 64.73 hours.
Scaled time: 93.66 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_2_4_165_1
n: 1766911209587497953093599302301376953102490078251437681439192871104381428198667673452673889623000339399549117991254544465513254335857550718764621943204454267507
skew: 0.68
deg: 5
c5: 220
c0: -31
m: 1000000000000000000000000000000000
type: snfs
rlim: 5200000
alim: 5200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3000000)
Primes: RFBsize:361407, AFBsize:361244, largePrimes:7999134 encountered
Relations: rels:7698324, finalFF:845404
Max relations in full relation-set: 28
Initial matrix: 722718 x 845404 with sparse part having weight 44159497.
Pruned matrix : 607145 x 610822 with weight 26410081.
Total sieving time: 64.45 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5200000,5200000,28,28,48,48,2.5,2.5,100000
total time: 64.73 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

22×10167-319

c159

name 名前Robert Backstrom
date 日付June 30, 2008 04:31:31 UTC 2008 年 6 月 30 日 (月) 13 時 31 分 31 秒 (日本時間)
composite number 合成数
112159576950120681443763221790573388303510799505846499774493764431806325745620236083497493365726993165082508258285562019154441967021394020693105366603163591493<159>
prime factors 素因数
17383069455340930576859078822201728294481827<44>
6452230846702379390519960216544745384363065802954977313588048296249399827777355779886850218076924772405182266503159<115>
factorization results 素因数分解の結果
Number: n
N=112159576950120681443763221790573388303510799505846499774493764431806325745620236083497493365726993165082508258285562019154441967021394020693105366603163591493
  ( 159 digits)
SNFS difficulty: 168 digits.
Divisors found:

Mon Jun 30 13:30:40 2008  prp44 factor: 17383069455340930576859078822201728294481827
Mon Jun 30 13:30:40 2008  prp115 factor: 6452230846702379390519960216544745384363065802954977313588048296249399827777355779886850218076924772405182266503159
Mon Jun 30 13:30:40 2008  elapsed time 01:27:40 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 64.33 hours.
Scaled time: 117.66 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_4_166_1
n: 112159576950120681443763221790573388303510799505846499774493764431806325745620236083497493365726993165082508258285562019154441967021394020693105366603163591493
skew: 0.43
deg: 5
c5: 2200
c0: -31
m: 1000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3900000)
Primes: RFBsize:380800, AFBsize:380504, largePrimes:8273794 encountered
Relations: rels:7946017, finalFF:867342
Max relations in full relation-set: 28
Initial matrix: 761371 x 867342 with sparse part having weight 46178197.
Pruned matrix : 664153 x 668023 with weight 29900504.
Total sieving time: 63.98 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.5,2.5,100000
total time: 64.33 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

22×10168-319

c134

name 名前Robert Backstrom
date 日付June 24, 2009 11:50:07 UTC 2009 年 6 月 24 日 (水) 20 時 50 分 7 秒 (日本時間)
composite number 合成数
24820626960901307166243457286366035083079281210552737892128741525214711320317507910090012420833207935695272455422603107378826450670073<134>
prime factors 素因数
371200625538831365829940284569021747043127<42>
66865800468067413875508513185834603191397073474295317096215322040316133061063996555098731599<92>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 24820626960901307166243457286366035083079281210552737892128741525214711320317507910090012420833207935695272455422603107378826450670073 (134 digits)
Using B1=5878000, B2=11417264050, polynomial Dickson(12), sigma=4081711366
Step 1 took 72790ms
********** Factor found in step 1: 371200625538831365829940284569021747043127
Found probable prime factor of 42 digits: 371200625538831365829940284569021747043127
Probable prime cofactor 66865800468067413875508513185834603191397073474295317096215322040316133061063996555098731599 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6375 / 825282Jo Yeong UkJuly 24, 2008 07:59:13 UTC 2008 年 7 月 24 日 (木) 16 時 59 分 13 秒 (日本時間)
93Jo Yeong UkJuly 25, 2008 08:36:07 UTC 2008 年 7 月 25 日 (金) 17 時 36 分 7 秒 (日本時間)

22×10170-319

c127

name 名前Jo Yeong Uk
date 日付September 21, 2009 01:07:17 UTC 2009 年 9 月 21 日 (月) 10 時 7 分 17 秒 (日本時間)
composite number 合成数
2480804607093818215117690482806396339262667371876217980622632068551160814692874825909881008959568445704096870937243247013067393<127>
prime factors 素因数
24512183185152555874872601627711724616592509609277977297743897<62>
101207003405412029690244968621692294006581722262048299972092070569<66>
factorization results 素因数分解の結果
Number: 24441_170
N=2480804607093818215117690482806396339262667371876217980622632068551160814692874825909881008959568445704096870937243247013067393
  ( 127 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=24512183185152555874872601627711724616592509609277977297743897
 r2=101207003405412029690244968621692294006581722262048299972092070569
Version: 
Total time: 37.73 hours.
Scaled time: 89.92 units (timescale=2.383).
Factorization parameters were as follows:
n: 2480804607093818215117690482806396339262667371876217980622632068551160814692874825909881008959568445704096870937243247013067393
m: 10000000000000000000000000000000000
deg: 5
c5: 22
c0: -31
skew: 1.07
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11218005
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 959758 x 960006
Total sieving time: 33.86 hours.
Total relation processing time: 1.58 hours.
Matrix solve time: 2.17 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 37.73 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673802)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672363)
Calibrating delay using timer specific routine.. 5535.15 BogoMIPS (lpj=2767578)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiMay 30, 2009 06:27:21 UTC 2009 年 5 月 30 日 (土) 15 時 27 分 21 秒 (日本時間)

22×10173-319

c172

name 名前Robert Backstrom
date 日付July 7, 2008 12:16:03 UTC 2008 年 7 月 7 日 (月) 21 時 16 分 3 秒 (日本時間)
composite number 合成数
8429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429<172>
prime factors 素因数
53929390053448635802755667268850142007562273054280940188884371<62>
156299167589182500831339219188302177128441788079387540549837743824293003742698300050396169986960092098989076799<111>
factorization results 素因数分解の結果
Number: n
N=8429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429
  ( 172 digits)
SNFS difficulty: 174 digits.
Divisors found:

Mon Jul 07 22:10:46 2008  prp62 factor: 53929390053448635802755667268850142007562273054280940188884371
Mon Jul 07 22:10:46 2008  prp111 factor: 156299167589182500831339219188302177128441788079387540549837743824293003742698300050396169986960092098989076799
Mon Jul 07 22:10:46 2008  elapsed time 03:58:11 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 195.03 hours.
Scaled time: 255.49 units (timescale=1.310).
Factorization parameters were as follows:
name: KA_2_4_172_1
n: 8429118773946360153256704980842911877394636015325670498084291187739463601532567049808429118773946360153256704980842911877394636015325670498084291187739463601532567049808429
skew: 0.54
deg: 5
c5: 1375
c0: -62
m: 20000000000000000000000000000000000
type: snfs
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 7100173)
Primes: RFBsize:476648, AFBsize:475941, largePrimes:9026408 encountered
Relations: rels:8609903, finalFF:954855
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 194.26 hours.
Total relation processing time: 0.77 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,48,48,2.5,2.5,100000
total time: 195.03 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

22×10175-319

c147

name 名前Warut Roonguthai
date 日付November 5, 2011 07:17:21 UTC 2011 年 11 月 5 日 (土) 16 時 17 分 21 秒 (日本時間)
composite number 合成数
208809432447293312741952452750526123553530836714225357139305247228012877897008590202750064274332179898414021294020598059177572721817118592256804573<147>
prime factors 素因数
17648557448824663035721330802182464599239282863081619<53>
11831529746993533853814018315782976773435891595802324975497573677588703753115392218139479541967<95>
factorization results 素因数分解の結果
N = 208809432447293312741952452750526123553530836714225357139305247228012877897008590202750064274332179898414021294020598059177572721817118592256804573 (147 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=17648557448824663035721330802182464599239282863081619 (pp53)
r2=11831529746993533853814018315782976773435891595802324975497573677588703753115392218139479541967 (pp95)
Version: Msieve v. 1.48
Total time: 32.51 hours.
Factorization parameters were as follows:
name: (22*10^175-31)/9
n: 208809432447293312741952452750526123553530836714225357139305247228012877897008590202750064274332179898414021294020598059177572721817118592256804573
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -31
c1: 0
c2: 0
c3: 0
c4: 0
c5: 22
skew: 1.07
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20594879
Relations: 2267442 relations
Pruned matrix : 1307363 x 1307588
Polynomial selection time: 0.00 hours.
Total sieving time: 30.15 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.18 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 32.51 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJuly 1, 2010 18:00:27 UTC 2010 年 7 月 2 日 (金) 3 時 0 分 27 秒 (日本時間)
403e62144110Ignacio SantosJuly 1, 2010 18:00:27 UTC 2010 年 7 月 2 日 (金) 3 時 0 分 27 秒 (日本時間)
2034Wataru SakaiJuly 4, 2010 01:01:24 UTC 2010 年 7 月 4 日 (日) 10 時 1 分 24 秒 (日本時間)
4511e6423232Ignacio SantosJuly 1, 2010 18:00:27 UTC 2010 年 7 月 2 日 (金) 3 時 0 分 27 秒 (日本時間)
200Ignacio SantosJanuary 7, 2011 16:46:45 UTC 2011 年 1 月 8 日 (土) 1 時 46 分 45 秒 (日本時間)
4000Wataru SakaiSeptember 10, 2011 03:43:18 UTC 2011 年 9 月 10 日 (土) 12 時 43 分 18 秒 (日本時間)

22×10176-319

c132

name 名前Warut Roonguthai
date 日付March 26, 2012 22:18:37 UTC 2012 年 3 月 27 日 (火) 7 時 18 分 37 秒 (日本時間)
composite number 合成数
443004489261729001895473587557143429069584830835990358506192869127884464974035599151221526509259145337049457051721178226863832087137<132>
prime factors 素因数
102563358812163844132959163591289718303271507730995178051<57>
4319325092239368088186036005003119597734448908836377088498488681706048411787<76>
factorization results 素因数分解の結果
N = 443004489261729001895473587557143429069584830835990358506192869127884464974035599151221526509259145337049457051721178226863832087137 (132 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=102563358812163844132959163591289718303271507730995178051 (pp57)
r2=4319325092239368088186036005003119597734448908836377088498488681706048411787 (pp76)
Version: Msieve v. 1.48
Total time: 33.39 hours.
Factorization parameters were as follows:
name: (22*10^176-31)/9
n: 443004489261729001895473587557143429069584830835990358506192869127884464974035599151221526509259145337049457051721178226863832087137
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -31
c1: 0
c2: 0
c3: 0
c4: 0
c5: 220
skew: 0.68
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20284168
Relations: 2451628 relations
Pruned matrix : 1397909 x 1398134
Polynomial selection time: 0.00 hours.
Total sieving time: 30.65 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.45 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 33.39 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 12:35:11 UTC 2010 年 10 月 15 日 (金) 21 時 35 分 11 秒 (日本時間)
403e6880110Ignacio SantosOctober 15, 2010 12:35:11 UTC 2010 年 10 月 15 日 (金) 21 時 35 分 11 秒 (日本時間)
770Ignacio SantosJuly 7, 2011 09:52:35 UTC 2011 年 7 月 7 日 (木) 18 時 52 分 35 秒 (日本時間)
4511e6252 / 405732Ignacio SantosOctober 15, 2010 12:35:11 UTC 2010 年 10 月 15 日 (金) 21 時 35 分 11 秒 (日本時間)
220Ignacio SantosJuly 7, 2011 09:52:35 UTC 2011 年 7 月 7 日 (木) 18 時 52 分 35 秒 (日本時間)
5043e661 / 7462Ignacio SantosJuly 7, 2011 09:52:35 UTC 2011 年 7 月 7 日 (木) 18 時 52 分 35 秒 (日本時間)

22×10177-319

c137

name 名前Dmitry Domanov
date 日付May 20, 2013 06:15:44 UTC 2013 年 5 月 20 日 (月) 15 時 15 分 44 秒 (日本時間)
composite number 合成数
22769584962736428594112618755971437669734607307938718377718455065846702510108631080635318160478014890513842129136729240614821289336227619<137>
prime factors 素因数
6063316493536270714476889446027251899684408411<46>
3755302067277814796961647744208548749014749854810173192657520720198261432322174611092736729<91>
factorization results 素因数分解の結果
N=22769584962736428594112618755971437669734607307938718377718455065846702510108631080635318160478014890513842129136729240614821289336227619
  ( 137 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=6063316493536270714476889446027251899684408411 (pp46)
 r2=3755302067277814796961647744208548749014749854810173192657520720198261432322174611092736729 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 90.86 hours.
Scaled time: 174.71 units (timescale=1.923).
Factorization parameters were as follows:
n: 22769584962736428594112618755971437669734607307938718377718455065846702510108631080635318160478014890513842129136729240614821289336227619
m: 100000000000000000000000000000000000
deg: 5
c5: 2200
c0: -31
skew: 0.43
# Murphy_E = 1.099e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1322595 x 1322824
Total sieving time: 88.44 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.68 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 90.86 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
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 13:22:49 UTC 2010 年 10 月 15 日 (金) 22 時 22 分 49 秒 (日本時間)
403e62144110Ignacio SantosOctober 15, 2010 13:22:49 UTC 2010 年 10 月 15 日 (金) 22 時 22 分 49 秒 (日本時間)
2034Wataru SakaiDecember 18, 2011 05:49:07 UTC 2011 年 12 月 18 日 (日) 14 時 49 分 7 秒 (日本時間)
4511e6832 / 399132Ignacio SantosOctober 15, 2010 13:22:49 UTC 2010 年 10 月 15 日 (金) 22 時 22 分 49 秒 (日本時間)
800Andreas TeteMarch 15, 2013 11:18:47 UTC 2013 年 3 月 15 日 (金) 20 時 18 分 47 秒 (日本時間)

22×10178-319

c157

name 名前Dmitry Domanov
date 日付May 20, 2013 06:16:13 UTC 2013 年 5 月 20 日 (月) 15 時 16 分 13 秒 (日本時間)
composite number 合成数
5812636529483097396516009119690532799430132868091514130550572960137521416585641562465142618331092827709409653716158452970582580884087767260969584190461368859<157>
prime factors 素因数
185841819169515462999327694222224388992257867222577315135863<60>
31277333355099724628943520080217876975818805033829702771849441198696703530731636243317146907047293<98>
factorization results 素因数分解の結果
N=5812636529483097396516009119690532799430132868091514130550572960137521416585641562465142618331092827709409653716158452970582580884087767260969584190461368859
  ( 157 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=185841819169515462999327694222224388992257867222577315135863 (pp60)
 r2=31277333355099724628943520080217876975818805033829702771849441198696703530731636243317146907047293 (pp98)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 98.27 hours.
Scaled time: 182.78 units (timescale=1.860).
Factorization parameters were as follows:
n: 5812636529483097396516009119690532799430132868091514130550572960137521416585641562465142618331092827709409653716158452970582580884087767260969584190461368859
m: 100000000000000000000000000000000000
deg: 5
c5: 22000
c0: -31
skew: 0.27
# Murphy_E = 9.952e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 8600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1237139 x 1237367
Total sieving time: 96.50 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.47 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 98.27 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 14:09:37 UTC 2010 年 10 月 15 日 (金) 23 時 9 分 37 秒 (日本時間)
403e62144110Ignacio SantosOctober 15, 2010 14:09:37 UTC 2010 年 10 月 15 日 (金) 23 時 9 分 37 秒 (日本時間)
2034Wataru SakaiMarch 23, 2012 00:59:57 UTC 2012 年 3 月 23 日 (金) 9 時 59 分 57 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 15, 2010 14:09:37 UTC 2010 年 10 月 15 日 (金) 23 時 9 分 37 秒 (日本時間)

22×10181-319

c150

name 名前Dmitry Domanov
date 日付May 8, 2013 09:50:41 UTC 2013 年 5 月 8 日 (水) 18 時 50 分 41 秒 (日本時間)
composite number 合成数
122700277307379152054698929251752297445922326971119921889264590262883731204575380937013216965832701422193666656674429370853975876648530955867014648143<150>
prime factors 素因数
220186324611901009098364994306364210727117<42>
231678858371217572343595801719401701797819592787<48>
2405297487181681247569291935599674624563142759480313340874217<61>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3586700232
Step 1 took 179453ms
Step 2 took 59580ms
********** Factor found in step 2: 220186324611901009098364994306364210727117
Found probable prime factor of 42 digits: 220186324611901009098364994306364210727117
Composite cofactor 557256575873410243912603785590797722676630054438953721183467533507026518924421587938252610202548329527472779 has 108 digits

N=557256575873410243912603785590797722676630054438953721183467533507026518924421587938252610202548329527472779
  ( 108 digits)
Divisors found:
 r1=231678858371217572343595801719401701797819592787 (pp48)
 r2=2405297487181681247569291935599674624563142759480313340874217 (pp61)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 16.50 hours.
Scaled time: 6.45 units (timescale=0.391).
Factorization parameters were as follows:
name: cc108
n: 557256575873410243912603785590797722676630054438953721183467533507026518924421587938252610202548329527472779
skew: 21871.77
# norm 1.77e+15
c5: 68400
c4: -458153376
c3: -131185863110003
c2: -501788327685998416
c1: 21867112809332201635620
c0: -70511001707630436659532000
# alpha -6.33
Y1: 79834320181
Y0: -382120151820955049003
# Murphy_E 1.27e-09
# M 307526324180317909460744297316625417582232578790221651648020813301727060280550653269179333055076309553179626
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 272668 x 272894
Polynomial selection time: 1.10 hours.
Total sieving time: 14.90 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 16.50 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
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 15:14:08 UTC 2010 年 10 月 16 日 (土) 0 時 14 分 8 秒 (日本時間)
403e61110110Ignacio SantosOctober 15, 2010 15:14:08 UTC 2010 年 10 月 16 日 (土) 0 時 14 分 8 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:20:55 UTC 2013 年 4 月 16 日 (火) 15 時 20 分 55 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 15, 2010 15:14:08 UTC 2010 年 10 月 16 日 (土) 0 時 14 分 8 秒 (日本時間)
1000Dmitry DomanovMay 3, 2013 23:35:00 UTC 2013 年 5 月 4 日 (土) 8 時 35 分 0 秒 (日本時間)

22×10184-319

c111

name 名前Serge Batalov
date 日付June 26, 2008 05:56:51 UTC 2008 年 6 月 26 日 (木) 14 時 56 分 51 秒 (日本時間)
composite number 合成数
901508128927097743805796506111739621599509328568185510262339660197159877020209849161252647032352169836391964459<111>
prime factors 素因数
114423653990361075653055464062935164466831611<45>
7878686770508480786149343903599253200453322043489051808630270100369<67>
factorization results 素因数分解の結果
Number: 24441_184
N=901508128927097743805796506111739621599509328568185510262339660197159877020209849161252647032352169836391964459
  ( 111 digits)
Divisors found:
 r1=114423653990361075653055464062935164466831611 (prp45)
 r2=7878686770508480786149343903599253200453322043489051808630270100369 (prp67)
Version: 
Total time: 10.00 hours.
Scaled time: 29.45 units (timescale=2.945).
Factorization parameters were as follows:
name: 24441_184
n: 901508128927097743805796506111739621599509328568185510262339660197159877020209849161252647032352169836391964459
skew: 46520.21
# norm 8.13e+15
c5: 18900
c4: -3935161950
c3: -315632321754924
c2: 6956788420149104008
c1: 165764613453978096609019
c0: -2648291551878358192286209268
# alpha -6.76
Y1: 308911050547
Y0: -2166227912833797164915
# Murphy_E 8.47e-10
# M 495691579157807496339000308739825919751575707403851431472491711303878872482938118133184764017988135434894218932
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, 3100001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 429325 x 429573
Total sieving time: 8.90 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 00:38:19 hours.
Time per square root: 00:31:06 hours. (2nd dep.)
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 10.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)
software ソフトウェア
pol51; Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

22×10186-319

c131

name 名前Sinkiti Sibata
date 日付July 29, 2008 07:35:22 UTC 2008 年 7 月 29 日 (火) 16 時 35 分 22 秒 (日本時間)
composite number 合成数
37670976165078443863256836601861142328673369625675002713509577133696652081698435733705187027373757745600233596423796059159601006721<131>
prime factors 素因数
171456587163938150377867556321935189380057680476175447590519<60>
219711454591472501320115502574137369201432836002086108434234387703221959<72>
factorization results 素因数分解の結果
Number: 24441_186
N=37670976165078443863256836601861142328673369625675002713509577133696652081698435733705187027373757745600233596423796059159601006721
  ( 131 digits)
Divisors found:
 r1=171456587163938150377867556321935189380057680476175447590519 (pp60)
 r2=219711454591472501320115502574137369201432836002086108434234387703221959 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 397.44 hours.
Scaled time: 398.64 units (timescale=1.003).
Factorization parameters were as follows:
name: 24441_186
n: 37670976165078443863256836601861142328673369625675002713509577133696652081698435733705187027373757745600233596423796059159601006721
skew: 126850.64
# norm 1.14e+18
c5: 401700
c4: -88329015826
c3: -33312095062761562
c2: 1203702866763267563315
c1: 138153793740909087892531458
c0: -1041535282133753560962272111400
# alpha -5.91
Y1: 97569885487877
Y0: -9872364854022489260068993
# Murphy_E 6.68e-11
# M 633122711962913050141178229451031715178519068215028293487278893698121013088255029031311623901634808174113378784182677589098774524
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2700000, 17640001)
Primes: RFBsize:374362, AFBsize:373919, largePrimes:10334820 encountered
Relations: rels:12618895, finalFF:844096
Max relations in full relation-set: 28
Initial matrix: 748367 x 844096 with sparse part having weight 133631545.
Pruned matrix : 684149 x 687954 with weight 117917272.
Total sieving time: 387.86 hours.
Total relation processing time: 1.06 hours.
Matrix solve time: 7.94 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
gnfs,130,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 397.44 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)

22×10187-319

c171

name 名前Dylan Delgado
date 日付March 2, 2018 17:30:11 UTC 2018 年 3 月 3 日 (土) 2 時 30 分 11 秒 (日本時間)
composite number 合成数
132803755109774190545698344316745601152779243177573150401807302303796299744157332369426241578915954896265528438759414120107218949820739532318100948810568069882161121375667<171>
prime factors 素因数
1614211993541145995379522765447963115692695060590251202741450533922228629829361<79>
82271570054710440921006045667974126804434331766363892012526788276308392424027778153173163747<92>
factorization results 素因数分解の結果
Number: 24441_187
N = 132803755109774190545698344316745601152779243177573150401807302303796299744157332369426241578915954896265528438759414120107218949820739532318100948810568069882161121375667 (171 digits)
SNFS difficulty: 189 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN 1005)
Total time: 49.18 hours.
Factorization parameters were as follows:
n: 132803755109774190545698344316745601152779243177573150401807302303796299744157332369426241578915954896265528438759414120107218949820739532318100948810568069882161121375667
m: 10000000000000000000000000000000000000
deg: 5
c5: 2200
c0: -31
skew: 0.43
# Murphy_E = 4.327e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22117901
Relations: 3479822 relations
Pruned matrix : 2100948 x 2101177
Polynomial selection time: 0.00 hours.
Total sieving time: 44.94 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.01 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.6,2.6,100000
total time: 49.18 hours.
Intel64 Family 6 Model 61 Stepping 4, GenuineIntel
Windows-10-10.0.17074
processors: 4, speed: 2.20GHz

__square root phase + factors__

Fri Mar 02 12:19:37 2018  Msieve v. 1.53 (SVN 1005)
Fri Mar 02 12:19:37 2018  random seeds: 40014ae0 4ac5bfec
Fri Mar 02 12:19:37 2018  factoring 132803755109774190545698344316745601152779243177573150401807302303796299744157332369426241578915954896265528438759414120107218949820739532318100948810568069882161121375667 (171 digits)
Fri Mar 02 12:19:37 2018  searching for 15-digit factors
Fri Mar 02 12:19:38 2018  commencing number field sieve (171-digit input)
Fri Mar 02 12:19:38 2018  R0: -10000000000000000000000000000000000000
Fri Mar 02 12:19:38 2018  R1: 1
Fri Mar 02 12:19:38 2018  A0: -31
Fri Mar 02 12:19:38 2018  A1: 0
Fri Mar 02 12:19:38 2018  A2: 0
Fri Mar 02 12:19:38 2018  A3: 0
Fri Mar 02 12:19:38 2018  A4: 0
Fri Mar 02 12:19:38 2018  A5: 2200
Fri Mar 02 12:19:38 2018  skew 0.43, size 2.771e-013, alpha -0.077, combined = 3.851e-011 rroots = 1
Fri Mar 02 12:19:38 2018  
Fri Mar 02 12:19:38 2018  commencing square root phase
Fri Mar 02 12:19:38 2018  reading relations for dependency 1
Fri Mar 02 12:19:38 2018  read 1050234 cycles
Fri Mar 02 12:19:40 2018  cycles contain 3479822 unique relations
Fri Mar 02 12:20:04 2018  read 3479822 relations
Fri Mar 02 12:20:19 2018  multiplying 3479822 relations
Fri Mar 02 12:22:21 2018  multiply complete, coefficients have about 114.99 million bits
Fri Mar 02 12:22:22 2018  initial square root is modulo 179329841
Fri Mar 02 12:24:52 2018  sqrtTime: 314
Fri Mar 02 12:24:52 2018  p79 factor: 1614211993541145995379522765447963115692695060590251202741450533922228629829361
Fri Mar 02 12:24:52 2018  p92 factor: 82271570054710440921006045667974126804434331766363892012526788276308392424027778153173163747
Fri Mar 02 12:24:52 2018  elapsed time 00:05:15
Fri Mar 02 12:24:52 2018 -> Computing 1.52001e+09 scale for this machine...
Fri Mar 02 12:24:52 2018 -> procrels -speedtest> PIPE
Fri Mar 02 12:24:55 2018 -> Factorization summary written to s189-24441_187.txt
software ソフトウェア
msieve v1.53, GGNFS, factmsieve.py v0.76
execution environment 実行環境
Intel Core i5-5200U, Windows 10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 16:25:28 UTC 2010 年 10 月 16 日 (土) 1 時 25 分 28 秒 (日本時間)
403e61110110Ignacio SantosOctober 15, 2010 16:25:28 UTC 2010 年 10 月 16 日 (土) 1 時 25 分 28 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:21:05 UTC 2013 年 4 月 16 日 (火) 15 時 21 分 5 秒 (日本時間)
4511e6317232Ignacio SantosOctober 15, 2010 16:25:28 UTC 2010 年 10 月 16 日 (土) 1 時 25 分 28 秒 (日本時間)
1000Dmitry DomanovMay 21, 2013 13:44:18 UTC 2013 年 5 月 21 日 (火) 22 時 44 分 18 秒 (日本時間)
2140Jason Parker-BurlinghamOctober 18, 2017 13:11:37 UTC 2017 年 10 月 18 日 (水) 22 時 11 分 37 秒 (日本時間)
5043e61416 / 6798300Dmitry DomanovApril 6, 2016 08:20:50 UTC 2016 年 4 月 6 日 (水) 17 時 20 分 50 秒 (日本時間)
1116Jason Parker-BurlinghamOctober 18, 2017 22:46:53 UTC 2017 年 10 月 19 日 (木) 7 時 46 分 53 秒 (日本時間)

22×10189-319

c170

name 名前Eric Jeancolas
date 日付August 20, 2020 04:11:57 UTC 2020 年 8 月 20 日 (木) 13 時 11 分 57 秒 (日本時間)
composite number 合成数
40191764469408982431968199476621581835689402737232706566564852067746131986040153417832704496328333919460285801204511052971239027697680373401187236568416196947923892759583<170>
prime factors 素因数
1115882194738987390798189186850989122952213993212547046581<58>
36017927930833340144151855075969771875132762981425414111579618239802271361712704798023996624339873619203000368643<113>
factorization results 素因数分解の結果
40191764469408982431968199476621581835689402737232706566564852067746131986040153417832704496328333919460285801204511052971239027697680373401187236568416196947923892759583=1115882194738987390798189186850989122952213993212547046581*36017927930833340144151855075969771875132762981425414111579618239802271361712704798023996624339873619203000368643

n: 40191764469408982431968199476621581835689402737232706566564852067746131986040153417832704496328333919460285801204511052971239027697680373401187236568416196947923892759583
skew: 1.70
type: snfs
c0: -155
c5: 11
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 11*x^5-155
# g(x) = -x+100000000000000000000000000000000000000

Info:Square Root: Factors: 1115882194738987390798189186850989122952213993212547046581 36017927930833340144151855075969771875132762981425414111579618239802271361712704798023996624339873619203000368643
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.94/2.33295
Info:Generate Free Relations: Total cpu/real time for freerel: 227.91/38.6197
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25163001
Info:Lattice Sieving: Average J: 1893.97 for 2000711 special-q, max bucket fill -bkmult 1.0,1s:1.080740
Info:Lattice Sieving: Total time: 490697s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 127.86/232.552
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 230.70000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 974.58/795
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 662.4999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 807.87/745.767
Info:Filtering - Merging: Total cpu/real time for merge: 2153.84/2021.93
Info:Filtering - Merging: Total cpu/real time for replay: 189.15/168.714
Info:Linear Algebra: Total cpu/real time for bwc: 206569/58657.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 39205.8, iteration CPU time 0.5, COMM 0.02, cpu-wait 0.12, comm-wait 0.0 (61440 iterations)
Info:Linear Algebra: Lingen CPU time 3164.3, WCT time 1121.71
Info:Linear Algebra: Mksol: WCT time 18056.19, iteration CPU time 0.49, COMM 0.01, cpu-wait 0.09, comm-wait 0.0 (30720 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 152.09/54.7445
Info:Square Root: Total cpu/real time for sqrt: 1087.44/515.015
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.03185e+06/167908
Info:root: Cleaning up computation data in /tmp/cado.60tyk0qw
1115882194738987390798189186850989122952213993212547046581 36017927930833340144151855075969771875132762981425414111579618239802271361712704798023996624339873619203000368643
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 15, 2010 17:30:51 UTC 2010 年 10 月 16 日 (土) 2 時 30 分 51 秒 (日本時間)
403e61110110Ignacio SantosOctober 15, 2010 17:30:51 UTC 2010 年 10 月 16 日 (土) 2 時 30 分 51 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:21:15 UTC 2013 年 4 月 16 日 (火) 15 時 21 分 15 秒 (日本時間)
4511e6503232Ignacio SantosOctober 15, 2010 17:30:51 UTC 2010 年 10 月 16 日 (土) 2 時 30 分 51 秒 (日本時間)
1000Dmitry DomanovMay 21, 2013 13:44:29 UTC 2013 年 5 月 21 日 (火) 22 時 44 分 29 秒 (日本時間)
4000Robert BalfourApril 11, 2020 18:49:33 UTC 2020 年 4 月 12 日 (日) 3 時 49 分 33 秒 (日本時間)
5043e6300 / 6380Dmitry DomanovApril 6, 2016 08:20:18 UTC 2016 年 4 月 6 日 (水) 17 時 20 分 18 秒 (日本時間)

22×10190-319

c169

name 名前Serge Batalov
date 日付July 11, 2008 09:22:05 UTC 2008 年 7 月 11 日 (金) 18 時 22 分 5 秒 (日本時間)
composite number 合成数
2513091934844122373465299411061413697375412957077857023526854241871539563471531810765659612882634990557794187770502219993750773861648658965389560905428161197865418729031<169>
prime factors 素因数
2490251637797916931309772842307<31>
composite cofactor 合成数の残り
1009171883154106743508535605718677600660412608929316157145576041105042869396199255493030596518470433121808888282588221824147334028807874733<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1552533239
Step 1 took 8261ms
Step 2 took 5297ms
********** Factor found in step 2: 2490251637797916931309772842307
Found probable prime factor of 31 digits: 2490251637797916931309772842307
Composite cofactor 1009171883154106743508535605718677600660412608929316157145576041105042869396199255493030596518470433121808888282588221824147334028807874733 has 139 digits
software ソフトウェア
GMP-ECM 6.2.1

c139

name 名前Eric Jeancolas
date 日付March 3, 2019 06:30:07 UTC 2019 年 3 月 3 日 (日) 15 時 30 分 7 秒 (日本時間)
composite number 合成数
1009171883154106743508535605718677600660412608929316157145576041105042869396199255493030596518470433121808888282588221824147334028807874733<139>
prime factors 素因数
70381765008385706451711041543554733421666938618114603<53>
14338541851484797810859258131098595581368551358166468537712707202468499167486944664711<86>
factorization results 素因数分解の結果
3*107*30301683840760864991*2490251637797916931309772842307*70381765008385706451711041543554733421666938618114603*14338541851484797810859258131098595581368551358166468537712707202468499167486944664711

EJ: Last lines of Log
Info:Lattice Sieving: Marking workunit c140_sieving_24170000-24180000 as ok (99.9% => ETA Sat Mar  2 21:01:10 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24240000-24250000 to client localhost
Info:Lattice Sieving: Adding workunit c140_sieving_24340000-24350000 to database
Info:Lattice Sieving: Found 15017 relations in '/tmp/cado.c14653ic/c140.upload/c140.24180000-24190000.hwu_s4pn.gz', total is now 25154340/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_24180000-24190000 as ok (99.9% => ETA Sat Mar  2 21:00:09 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24250000-24260000 to client localhost+5
Info:Lattice Sieving: Adding workunit c140_sieving_24350000-24360000 to database
Info:Lattice Sieving: Found 16626 relations in '/tmp/cado.c14653ic/c140.upload/c140.24190000-24200000.yotusxfe.gz', total is now 25170966/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_24190000-24200000 as ok (100.0% => ETA Sat Mar  2 21:02:09 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24260000-24270000 to client localhost+4
Info:Lattice Sieving: Adding workunit c140_sieving_24360000-24370000 to database
Info:Lattice Sieving: Found 16103 relations in '/tmp/cado.c14653ic/c140.upload/c140.24200000-24210000.9x48ypp1.gz', total is now 25187069/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_24200000-24210000 as ok (100.1% => ETA Sat Mar  2 21:00:44 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24270000-24280000 to client localhost+2
Info:Lattice Sieving: Adding workunit c140_sieving_24370000-24380000 to database
Info:Lattice Sieving: Reached target of 25172582 relations, now have 25187069
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25187069
Info:Lattice Sieving: Average J: 3794.16 for 848066 special-q, max bucket fill: 0.633693
Info:Lattice Sieving: Total CPU time: 1.62024e+06s
Info:Filtering - Duplicate Removal, splitting pass: Starting
Info:Filtering - Duplicate Removal, splitting pass: Splitting 1409 new files
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24280000-24290000 to client localhost+6
Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 12587360, 1: 12599709
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 133.35/237.481
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 237.3s
Info:Filtering - Duplicate Removal, removal pass: Starting
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24290000-24300000 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24300000-24310000 to client localhost
Info:Filtering - Duplicate Removal, removal pass: 10532286 unique relations remain on slice 0
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24310000-24320000 to client localhost+4
Info:Filtering - Duplicate Removal, removal pass: 10543913 unique relations remain on slice 1
Info:Filtering - Duplicate Removal, removal pass: Of 25187069 newly added relations 21076199 were unique (ratio 0.836786)
Info:Filtering - Duplicate Removal, removal pass: 21076199 unique relations remain in total
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 554.41/374.153
Info:Filtering - Singleton removal: Starting
Info:Filtering - Singleton removal: Reading 21076199 unique and 121428 free relations, total 21197627
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24320000-24330000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24330000-24340000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_24340000-24350000 to client localhost+6
Info:Filtering - Singleton removal: After purge, 8464013 relations with 8463853 primes remain with weight 161891448 and excess 160
Info:Filtering - Singleton removal: Have enough relations
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Cancelling remaining workunits
Info:Client Launcher: Stopped client localhost (Host localhost, PID 3858)
Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 3861)
Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 3864)
Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 3867)
Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 3870)
Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 3873)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 285.97/236.605
Info:Filtering - Merging: Starting
Info:Filtering - Merging: Merged matrix has 2119941 rows and total weight 360389993 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1159.48/1062
Info:Filtering - Merging: Total cpu/real time for replay: 82.06/64.1968
Info:Linear Algebra: Starting
Info:Linear Algebra: krylov: N=1000 ; ETA (N=67000): Sun Mar  3 02:00:59 2019 [0.234 s/iter]
Info:Linear Algebra: krylov: N=2000 ; ETA (N=67000): Sun Mar  3 02:03:42 2019 [0.236 s/iter]
... EJ: many similar lines
Info:Linear Algebra: krylov: N=66000 ; ETA (N=67000): Sun Mar  3 02:11:11 2019 [0.243 s/iter]
Info:Linear Algebra: krylov: N=67000 ; ETA (N=67000): Sun Mar  3 02:11:12 2019 [0.243 s/iter]
Info:Linear Algebra: lingen ETA: Sun Mar  3 02:11:32 2019
Info:Linear Algebra: lingen ETA: Sun Mar  3 02:13:20 2019
... EJ: many similar lines
Info:Linear Algebra: lingen ETA: Sun Mar  3 02:13:08 2019
Info:Linear Algebra: lingen ETA: Sun Mar  3 02:13:04 2019
Info:Linear Algebra: mksol: N=1000 ; ETA (N=34000): Sun Mar  3 04:38:28 2019 [0.257 s/iter]
Info:Linear Algebra: mksol: N=2000 ; ETA (N=34000): Sun Mar  3 04:39:45 2019 [0.259 s/iter]
... EJ many similar lines
Info:Linear Algebra: mksol: N=33000 ; ETA (N=34000): Sun Mar  3 04:40:41 2019 [0.261 s/iter]
Info:Linear Algebra: mksol: N=34000 ; ETA (N=34000): Sun Mar  3 04:40:23 2019 [0.261 s/iter]
Info:Linear Algebra: Total cpu/real time for bwc: 271679/0.000304461
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 16269.51
Info:Linear Algebra: Lingen CPU time 780.69, WCT time 91.14
Info:Linear Algebra: Mksol: WCT time 8860.33
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 85.32/19.907
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 70381765008385706451711041543554733421666938618114603 14338541851484797810859258131098595581368551358166468537712707202468499167486944664711
Info:Square Root: Total cpu/real time for sqrt: 5686.46/800.675
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66204/40.460/49.676/55.350/0.968
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66204/40.040/44.375/50.390/1.180
Info:Polynomial Selection (size optimized): Total time: 48200.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5513.38
Info:Polynomial Selection (root optimized): Rootsieve time: 5511.35
Info:Generate Factor Base: Total cpu/real time for makefb: 23.02/2.48127
Info:Generate Free Relations: Total cpu/real time for freerel: 270.53/23.1139
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25187069
Info:Lattice Sieving: Average J: 3794.16 for 848066 special-q, max bucket fill: 0.633693
Info:Lattice Sieving: Total CPU time: 1.62024e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 133.35/237.481
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 237.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 554.41/374.153
Info:Filtering - Singleton removal: Total cpu/real time for purge: 285.97/236.605
Info:Filtering - Merging: Total cpu/real time for merge: 1159.48/1062
Info:Filtering - Merging: Total cpu/real time for replay: 82.06/64.1968
Info:Linear Algebra: Total cpu/real time for bwc: 271679/0.000304461
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 16269.51
Info:Linear Algebra: Lingen CPU time 780.69, WCT time 91.14
Info:Linear Algebra: Mksol: WCT time 8860.33
Info:Quadratic Characters: Total cpu/real time for characters: 85.32/19.907
Info:Square Root: Total cpu/real time for sqrt: 5686.46/800.675
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.95392e+06/173270
Info:root: Cleaning up computation data in /tmp/cado.c14653ic
70381765008385706451711041543554733421666938618114603 14338541851484797810859258131098595581368551358166468537712707202468499167486944664711
software ソフトウェア
cado-nfs-2.3.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS 
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 02:43:25 UTC 2010 年 10 月 16 日 (土) 11 時 43 分 25 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 02:43:25 UTC 2010 年 10 月 16 日 (土) 11 時 43 分 25 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:21:27 UTC 2013 年 4 月 16 日 (火) 15 時 21 分 27 秒 (日本時間)
4511e61032 / 316732Ignacio SantosOctober 16, 2010 02:43:25 UTC 2010 年 10 月 16 日 (土) 11 時 43 分 25 秒 (日本時間)
1000Dmitry DomanovMay 21, 2013 13:44:40 UTC 2013 年 5 月 21 日 (火) 22 時 44 分 40 秒 (日本時間)
5043e6300 / 7278Dmitry DomanovApril 6, 2016 08:14:47 UTC 2016 年 4 月 6 日 (水) 17 時 14 分 47 秒 (日本時間)

22×10191-319

c177

name 名前matsui
date 日付February 5, 2011 13:24:40 UTC 2011 年 2 月 5 日 (土) 22 時 24 分 40 秒 (日本時間)
composite number 合成数
122025682401099466456657682248425049246456970103201368679793381844120039366779195530612889927137082341241077084069446810546087002380504453042985493833496606275525237213522885889<177>
prime factors 素因数
124254185001136568019808150593354580768474043<45>
982064969481577484243054299397357378416226342115142966920356941759704105257528533899149508917126868739944126367788027064258103390323<132>
factorization results 素因数分解の結果
N=122025682401099466456657682248425049246456970103201368679793381844120039366779195530612889927137082341241077084069446810546087002380504453042985493833496606275525237213522885889
  ( 177 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=124254185001136568019808150593354580768474043 (pp45)
 r2=982064969481577484243054299397357378416226342115142966920356941759704105257528533899149508917126868739944126367788027064258103390323 (pp132)
Version: Msieve v. 1.48
Total time:
Scaled time: 23.59 units (timescale=0.448).
Factorization parameters were as follows:
n: 122025682401099466456657682248425049246456970103201368679793381844120039366779195530612889927137082341241077084069446810546087002380504453042985493833496606275525237213522885889
m: 100000000000000000000000000000000000000
deg: 5
c5: 220
c0: -31
skew: 0.68
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5600000, 17760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2263765 x 2263990
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 02:43:51 UTC 2010 年 10 月 16 日 (土) 11 時 43 分 51 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 16, 2010 02:43:51 UTC 2010 年 10 月 16 日 (土) 11 時 43 分 51 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 16, 2010 02:43:51 UTC 2010 年 10 月 16 日 (土) 11 時 43 分 51 秒 (日本時間)

22×10194-319

c109

name 名前Serge Batalov
date 日付June 25, 2008 08:46:40 UTC 2008 年 6 月 25 日 (水) 17 時 46 分 40 秒 (日本時間)
composite number 合成数
2106449430113337418439686498093665737072417104177983028241236957255256900579714385299982462974479850405598169<109>
prime factors 素因数
5372482836426580900512209972203814089751370013919<49>
392081183737090877140072638124636771184362766568147368455751<60>
factorization results 素因数分解の結果
Number: 24441_194
N=2106449430113337418439686498093665737072417104177983028241236957255256900579714385299982462974479850405598169
  ( 109 digits)
Divisors found:
 r1=5372482836426580900512209972203814089751370013919
 r2=392081183737090877140072638124636771184362766568147368455751
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.944).
Factorization parameters were as follows:
name: 24441_194
n: 2106449430113337418439686498093665737072417104177983028241236957255256900579714385299982462974479850405598169
skew: 40436.56
# norm 9.50e+14
c5: 6300
c4: -6074415
c3: 15044965730376
c2: -513817562282863186
c1: -38591011017509739247904
c0: -189964629514345907912503176
# alpha -5.99
Y1: 85707496171
Y0: -803234042785158511595
# Murphy_E 1.13e-09
# M 1924700740393856439702834402358433334952951283649528228384901939772757800330389208057432806240169632309889192
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, 2800001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: 7534340 relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 384322 x 384563
Total sieving time: 7.98 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.10 hours. x 4 times
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)
software ソフトウェア
pol51; msieve-1.36; GMP-ECM 6.2.1
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

22×10195-319

c166

name 名前Serge Batalov
date 日付October 22, 2008 06:42:05 UTC 2008 年 10 月 22 日 (水) 15 時 42 分 5 秒 (日本時間)
composite number 合成数
9620299907561607977018700754587697467969803056523391940374731163030730426994788739976331610611958635642574637873249294926731620592626284126986301915030153184087556759<166>
prime factors 素因数
52333261226040013874068864421239<32>
composite cofactor 合成数の残り
183827640054939547309364653857658843651474314964103416379471945088898934302542172912689307063113308104017719598958720895076627555187681<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1438106012
Step 1 took 21034ms
Step 2 took 12889ms
********** Factor found in step 2: 52333261226040013874068864421239
Found probable prime factor of 32 digits: 52333261226040013874068864421239
Composite cofactor 183827640054939547309364653857658843651474314964103416379471945088898934302542172912689307063113308104017719598958720895076627555187681 has 135 digits
software ソフトウェア
GMP-ECM 6.2.1

c135

name 名前Erik Branger
date 日付November 8, 2011 12:09:01 UTC 2011 年 11 月 8 日 (火) 21 時 9 分 1 秒 (日本時間)
composite number 合成数
183827640054939547309364653857658843651474314964103416379471945088898934302542172912689307063113308104017719598958720895076627555187681<135>
prime factors 素因数
1615902059300938317767530453259748164693379579058885879<55>
113761622492433692734088411392379539437321529711769589882507706715936467469809639<81>
factorization results 素因数分解の結果
Number: 24441_195
N = 183827640054939547309364653857658843651474314964103416379471945088898934302542172912689307063113308104017719598958720895076627555187681 (135 digits)
Divisors found:
r1=1615902059300938317767530453259748164693379579058885879 (pp55)
r2=113761622492433692734088411392379539437321529711769589882507706715936467469809639 (pp81)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 228.81 hours.
Factorization parameters were as follows:
# Murphy_E = 4.06359e-11, selected by Jeff Gilchrist
n: 183827640054939547309364653857658843651474314964103416379471945088898934302542172912689307063113308104017719598958720895076627555187681
Y0: -75510382215782957492637817
Y1: 909236376496921
c0: 371466108605451523065574033098000
c1: 3038975702613473268869049660
c2: -28855679247068108217716
c3: -46237944257002279
c4: 166578971992
c5: 74880
skew: 428761.67
type: gnfs
# selected mechanically
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [6400000, 16400000)
Relations: 21026248
Relations in full relation-set: 3431730 relations
Pruned matrix : 2050410 x 2050656
Polynomial selection time: 0.00 hours.
Total sieving time: 224.10 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.22 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12800000,12800000,28,28,54,54,2.6,2.6,100000
total time: 228.81 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMay 10, 2009 09:04:13 UTC 2009 年 5 月 10 日 (日) 18 時 4 分 13 秒 (日本時間)
1836Wataru SakaiJuly 26, 2009 07:37:28 UTC 2009 年 7 月 26 日 (日) 16 時 37 分 28 秒 (日本時間)
4511e64000Wataru SakaiAugust 17, 2010 13:13:01 UTC 2010 年 8 月 17 日 (火) 22 時 13 分 1 秒 (日本時間)

22×10196-319

c144

name 名前Dmitry Domanov
date 日付May 13, 2013 06:07:44 UTC 2013 年 5 月 13 日 (月) 15 時 7 分 44 秒 (日本時間)
composite number 合成数
204241102507338519161814043640351116764588028511788819360541852144316321463083819331558618111157982001606860896109380146442548190501120941155269<144>
prime factors 素因数
165179111400614450404529741330250773360268841<45>
1236482632552645890478183495465138095717429227953966406447375575098557476950145607610544691530267709<100>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1273570639
Step 1 took 60357ms
Step 2 took 23023ms
********** Factor found in step 2: 165179111400614450404529741330250773360268841
Found probable prime factor of 45 digits: 165179111400614450404529741330250773360268841

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 02:44:30 UTC 2010 年 10 月 16 日 (土) 11 時 44 分 30 秒 (日本時間)
403e61110 / 2144110Ignacio SantosOctober 16, 2010 02:44:30 UTC 2010 年 10 月 16 日 (土) 11 時 44 分 30 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:21:39 UTC 2013 年 4 月 16 日 (火) 15 時 21 分 39 秒 (日本時間)
4511e632 / 4220Ignacio SantosOctober 16, 2010 02:44:30 UTC 2010 年 10 月 16 日 (土) 11 時 44 分 30 秒 (日本時間)

22×10198-319

c169

name 名前Eric Jeancolas
date 日付December 18, 2020 07:26:35 UTC 2020 年 12 月 18 日 (金) 16 時 26 分 35 秒 (日本時間)
composite number 合成数
5535849230478436418402768892490805894353112104135846984603513301191391106251142177484278997220590725781964367566596091178492916595159520909943534407480490292864117340283<169>
prime factors 素因数
5832137622705399830109165327805941245397681739656790124577273875188634181737848723<82>
949197290702903240029348699253921753262136590913993565023612795487286839592834194457721<87>
factorization results 素因数分解の結果
5535849230478436418402768892490805894353112104135846984603513301191391106251142177484278997220590725781964367566596091178492916595159520909943534407480490292864117340283=5832137622705399830109165327805941245397681739656790124577273875188634181737848723*949197290702903240029348699253921753262136590913993565023612795487286839592834194457721

cado polynomial
n: 5535849230478436418402768892490805894353112104135846984603513301191391106251142177484278997220590725781964367566596091178492916595159520909943534407480490292864117340283
skew: 0.27
type: snfs
c0: -31
c5: 22000
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 22000*x^5-31
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14700000
tasks.lim1 = 14700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5832137622705399830109165327805941245397681739656790124577273875188634181737848723 949197290702903240029348699253921753262136590913993565023612795487286839592834194457721
Info:Square Root: Total cpu/real time for sqrt: 933.45/440.739
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.2/2.4761
Info:Generate Free Relations: Total cpu/real time for freerel: 103.26/26.6244
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31858909
Info:Lattice Sieving: Average J: 1893.59 for 5288670 special-q, max bucket fill -bkmult 1.0,1s:1.138910
Info:Lattice Sieving: Total time: 1.65823e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 63.21/163.502
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 162.60000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 543.74/551.258
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 483.2000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 468.97/553.114
Info:Filtering - Merging: Merged matrix has 3104898 rows and total weight 530039758 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 436.47/126.313
Info:Filtering - Merging: Total cpu/real time for replay: 120.93/107.979
Info:Linear Algebra: Total cpu/real time for bwc: 160332/72399.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 43484.44, iteration CPU time 0.43, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (97280 iterations)
Info:Linear Algebra: Lingen CPU time 3484.15, WCT time 1714.07
Info:Linear Algebra: Mksol: WCT time 27161.36, iteration CPU time 0.48, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (48640 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 107.21/65.6683
Info:Square Root: Total cpu/real time for sqrt: 933.45/440.739
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.25475e+06/72913.5
5832137622705399830109165327805941245397681739656790124577273875188634181737848723 949197290702903240029348699253921753262136590913993565023612795487286839592834194457721
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 16, 2010 02:44:52 UTC 2010 年 10 月 16 日 (土) 11 時 44 分 52 秒 (日本時間)
403e61110110Ignacio SantosOctober 16, 2010 02:44:52 UTC 2010 年 10 月 16 日 (土) 11 時 44 分 52 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:21:55 UTC 2013 年 4 月 16 日 (火) 15 時 21 分 55 秒 (日本時間)
4511e61032 / 281632Ignacio SantosOctober 16, 2010 02:44:52 UTC 2010 年 10 月 16 日 (土) 11 時 44 分 52 秒 (日本時間)
1000Dmitry DomanovMay 21, 2013 13:44:52 UTC 2013 年 5 月 21 日 (火) 22 時 44 分 52 秒 (日本時間)
5043e6400 / 7278Dmitry DomanovApril 6, 2016 07:24:53 UTC 2016 年 4 月 6 日 (水) 16 時 24 分 53 秒 (日本時間)

22×10200-319

c201

name 名前Serge Batalov
date 日付August 1, 2008 06:07:22 UTC 2008 年 8 月 1 日 (金) 15 時 7 分 22 秒 (日本時間)
composite number 合成数
244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<201>
prime factors 素因数
47713862744287860379304252114030623412334743979315223<53>
2395392072792774623211423837351600973074529935809359597689484971362983<70>
2138744897728437264421864974178897354836969223259709418858727405909337720973849<79>
factorization results 素因数分解の結果
# ok, dudes! If there's a thing called a nice split, 
# there must be a thing called an ugly split. Well, it's OK. 
# Doing a full 43M ECM wouldn't have helped -- 
# SNFS-201 is easier than GNFS-149
#
# C201 = P53 . P70 . P79   (no smaller factors!)
#
# plain SNFS, 29-bit LPs, 1 CPU, 2Gb of memory, 23 days
#
Number: 24441_200
N=244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
  ( 201 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=47713862744287860379304252114030623412334743979315223
 r2=2395392072792774623211423837351600973074529935809359597689484971362983
 r3=2138744897728437264421864974178897354836969223259709418858727405909337720973849
Version: Msieve 1.36
Total time: 23 days
Scaled time: ? units (timescale=2.738).
Factorization parameters were as follows:
n: 244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
name: 24441_200
#res: 1872
Y0: -10000000000000000000000000000000000000000
Y1: 1
c5: 22
c0: -31
skew: 1.07
type: snfs
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
rlim: 16000000
alim: 16000000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [8000000, 16900001)
Relations: 40323955 relations
37001703 unique relations and about 33452936 large ideals
Max relations in full relation-set: 20
Initial matrix: 3454542 x 3455788 (1045.7 MB) with weight 328806948 (95.15/col)
  sparse part has weight 236099120 (68.32/col)
Pruned matrix : 3395676 x 3395924 (991.3 MB) with weight 250430313 (73.74/col)
  sparse part has weight 225898752 (66.52/col)
Total sieving time: exactly 20 days on 1cpu.
Total relation processing time: 2.00 hours.
Matrix solve time: 67.50 hours. (a bit under 3 days)
Time per square root: 1.11 hours. Times 5. (One Newton failed to converge.) elapsed time 05:35:31
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,57,57,2.5,2.5,100000

total time: 23 days.
software ソフトウェア
GMP-ECM 6.2.1 a lot (but no split); Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 24, 2008 09:00:00 UTC 2008 年 6 月 24 日 (火) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 1, 2008 01:02:33 UTC 2008 年 8 月 1 日 (金) 10 時 2 分 33 秒 (日本時間)
403e62350Serge BatalovAugust 1, 2008 01:02:33 UTC 2008 年 8 月 1 日 (金) 10 時 2 分 33 秒 (日本時間)
4511e6320 / 3756Serge BatalovAugust 1, 2008 01:03:09 UTC 2008 年 8 月 1 日 (金) 10 時 3 分 9 秒 (日本時間)
5043e646 / 7387Serge BatalovAugust 1, 2008 01:03:09 UTC 2008 年 8 月 1 日 (金) 10 時 3 分 9 秒 (日本時間)

22×10201-319

c190

name 名前Bob Backstrom
date 日付May 20, 2021 23:59:08 UTC 2021 年 5 月 21 日 (金) 8 時 59 分 8 秒 (日本時間)
composite number 合成数
7425941112393434986591161599664925570425313900713229073633916195072623360146716508859140762143894788387487832754685175238431683722100266244996782383240453412691740701769653027240963242327371<190>
prime factors 素因数
34538733129830883792274919488101894041954907468702408807659<59>
215003285861104643444819455031538541332266506848877551823345890513247923017022049957673531943864628319235854006325626138076862587169<132>
factorization results 素因数分解の結果
Number: n
N=7425941112393434986591161599664925570425313900713229073633916195072623360146716508859140762143894788387487832754685175238431683722100266244996782383240453412691740701769653027240963242327371
  ( 190 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri May 21 09:53:13 2021  p59 factor: 34538733129830883792274919488101894041954907468702408807659
Fri May 21 09:53:13 2021  p132 factor: 215003285861104643444819455031538541332266506848877551823345890513247923017022049957673531943864628319235854006325626138076862587169
Fri May 21 09:53:13 2021  elapsed time 01:26:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 22x10^201-31 = 24(200)1
#
n: 7425941112393434986591161599664925570425313900713229073633916195072623360146716508859140762143894788387487832754685175238431683722100266244996782383240453412691740701769653027240963242327371
m: 10000000000000000000000000000000000000000
deg: 5
c5: 220
c0: -31
skew: 0.68
# Murphy_E = 1.352e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8619171 hash collisions in 62432118 relations (56383079 unique)
Msieve: matrix is 1896615 x 1896842 (659.0 MB)

Sieving start time : 2021/05/20 22:42:24
Sieving end time  : 2021/05/21 08:25:18

Total sieving time: 9hrs 42min 54secs.

Total relation processing time: 1hrs 9min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 22sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118236] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.153532] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.152048] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:22:04 UTC 2013 年 4 月 16 日 (火) 15 時 22 分 4 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:45:02 UTC 2013 年 5 月 21 日 (火) 22 時 45 分 2 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 11:32:04 UTC 2016 年 3 月 26 日 (土) 20 時 32 分 4 秒 (日本時間)
300Dmitry DomanovApril 4, 2016 14:01:09 UTC 2016 年 4 月 4 日 (月) 23 時 1 分 9 秒 (日本時間)

22×10204-319

c173

name 名前ebina
date 日付July 23, 2023 11:03:06 UTC 2023 年 7 月 23 日 (日) 20 時 3 分 6 秒 (日本時間)
composite number 合成数
40585602043810543525741369917322942286215795850480961420694801345199228502018162486663661372700986273863631931442775309857393311928579621637180408900028054667797482710231619<173>
prime factors 素因数
855646145682965154889896452227655387620244719415046956123<57>
47432694284406161996962902611132777418044609510062508551184324363154479952817981056071577038522937204633586659677753<116>
factorization results 素因数分解の結果
Sun Jul 23 19:35:52 2023  Msieve v. 1.54 (SVN 1018)
Sun Jul 23 19:35:52 2023  random seeds: 55e32570 0771de67
Sun Jul 23 19:35:52 2023  factoring 40585602043810543525741369917322942286215795850480961420694801345199228502018162486663661372700986273863631931442775309857393311928579621637180408900028054667797482710231619 (173 digits)
Sun Jul 23 19:35:53 2023  searching for 15-digit factors
Sun Jul 23 19:35:53 2023  commencing number field sieve (173-digit input)
Sun Jul 23 19:35:53 2023  R0: -100000000000000000000000000000000000000000
Sun Jul 23 19:35:53 2023  R1: 1
Sun Jul 23 19:35:53 2023  A0: -155
Sun Jul 23 19:35:53 2023  A1: 0
Sun Jul 23 19:35:53 2023  A2: 0
Sun Jul 23 19:35:53 2023  A3: 0
Sun Jul 23 19:35:53 2023  A4: 0
Sun Jul 23 19:35:53 2023  A5: 11
Sun Jul 23 19:35:53 2023  skew 1.70, size 2.491e-014, alpha 0.475, combined = 8.318e-012 rroots = 1
Sun Jul 23 19:35:53 2023  
Sun Jul 23 19:35:53 2023  commencing square root phase
Sun Jul 23 19:35:53 2023  reading relations for dependency 1
Sun Jul 23 19:35:54 2023  read 1886069 cycles
Sun Jul 23 19:35:57 2023  cycles contain 6255738 unique relations
Sun Jul 23 19:37:15 2023  read 6255738 relations
Sun Jul 23 19:37:38 2023  multiplying 6255738 relations
Sun Jul 23 19:40:36 2023  multiply complete, coefficients have about 173.50 million bits
Sun Jul 23 19:40:37 2023  initial square root is modulo 1684481
Sun Jul 23 19:44:09 2023  GCD is N, no factor found
Sun Jul 23 19:44:09 2023  reading relations for dependency 2
Sun Jul 23 19:44:15 2023  read 1886532 cycles
Sun Jul 23 19:44:18 2023  cycles contain 6256134 unique relations
Sun Jul 23 19:45:22 2023  read 6256134 relations
Sun Jul 23 19:45:45 2023  multiplying 6256134 relations
Sun Jul 23 19:48:43 2023  multiply complete, coefficients have about 173.51 million bits
Sun Jul 23 19:48:44 2023  initial square root is modulo 1685581
Sun Jul 23 19:52:21 2023  sqrtTime: 988
Sun Jul 23 19:52:21 2023  p57 factor: 855646145682965154889896452227655387620244719415046956123
Sun Jul 23 19:52:21 2023  p116 factor: 47432694284406161996962902611132777418044609510062508551184324363154479952817981056071577038522937204633586659677753
Sun Jul 23 19:52:21 2023  elapsed time 00:16:29

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:22:15 UTC 2013 年 4 月 16 日 (火) 15 時 22 分 15 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:45:11 UTC 2013 年 5 月 21 日 (火) 22 時 45 分 11 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 25, 2016 18:55:24 UTC 2016 年 3 月 26 日 (土) 3 時 55 分 24 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:45:59 UTC 2016 年 4 月 2 日 (土) 0 時 45 分 59 秒 (日本時間)

22×10205-319

c199

name 名前Warut Roonguthai
date 日付March 31, 2013 15:07:48 UTC 2013 年 4 月 1 日 (月) 0 時 7 分 48 秒 (日本時間)
composite number 合成数
2281414772913521490113110574128293970165793833669784976968754915087764315252903486583533778953784872811800464435901375725255275017239977384542757451253606826017888718415355016500798998118776488456959<199>
prime factors 素因数
27997377527879961309293241035851<32>
81486731056923977291276161750145195498795108049452860585025048265719238876464258862765301158540804297497280291981125725945027957706118275754781217863409405370323729309<167>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2408601803
Step 1 took 12074ms
Step 2 took 6989ms
********** Factor found in step 2: 27997377527879961309293241035851
Found probable prime factor of 32 digits: 27997377527879961309293241035851
Probable prime cofactor 81486731056923977291276161750145195498795108049452860585025048265719238876464258862765301158540804297497280291981125725945027957706118275754781217863409405370323729309 has 167 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

22×10206-319

c205

name 名前Robert Backstrom
date 日付December 20, 2013 21:08:01 UTC 2013 年 12 月 21 日 (土) 6 時 8 分 1 秒 (日本時間)
composite number 合成数
1640566741237882177479492915734526472781506338553318419090231170768083519761372110365398956002982848620432513049962714392244593586875466070096942580164056674123788217747949291573452647278150633855331841909<205>
prime factors 素因数
7231613484651763008009389172209505476695471713810597688681021343537197955762897<79>
226860401861879010728911326836226712656416256309723392298782573615011183207922676090850940379265631265871790758100527298429797<126>
factorization results 素因数分解の結果
Number: n
N=1640566741237882177479492915734526472781506338553318419090231170768083519761372110365398956002982848620432513049962714392244593586875466070096942580164056674123788217747949291573452647278150633855331841909
  ( 205 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Dec 21 03:43:17 2013  prp79 factor: 7231613484651763008009389172209505476695471713810597688681021343537197955762897
Sat Dec 21 03:43:17 2013  prp126 factor: 226860401861879010728911326836226712656416256309723392298782573615011183207922676090850940379265631265871790758100527298429797
Sat Dec 21 03:43:17 2013  elapsed time 10:04:42 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.807).
Factorization parameters were as follows:
#
#  22*10^206-31 - 24(205)1
#
#  c205, diff: 207.34
#
skew: 0.676
n: 1640566741237882177479492915734526472781506338553318419090231170768083519761372110365398956002982848620432513049962714392244593586875466070096942580164056674123788217747949291573452647278150633855331841909
m: 100000000000000000000000000000000000000000
deg: 5
c5: 220
c0: -31
# Murphy_E = 8.327e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26000000)
Primes: RFBsize:1270607, AFBsize:1270677,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9264332 hash collisions in 59539293 relations (52300688 unique)
Msieve: matrix is 2481070 x 2481297 (704.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 8hrs 54min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 26sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 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 KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:22:24 UTC 2013 年 4 月 16 日 (火) 15 時 22 分 24 秒 (日本時間)
4511e61850 / 42541000Dmitry DomanovMay 21, 2013 13:45:23 UTC 2013 年 5 月 21 日 (火) 22 時 45 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:44 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 44 秒 (日本時間)

22×10207-319

c198

name 名前Dmitry Domanov
date 日付April 3, 2013 05:19:31 UTC 2013 年 4 月 3 日 (水) 14 時 19 分 31 秒 (日本時間)
composite number 合成数
397037549005646925392525872824332640363829129166153660991692448208322004658691660044806296316510139645422124012905442691571111571619443644027122766818344988662316756811386528610792852263688355877479<198>
prime factors 素因数
26960001492109407621760776821029483<35>
14726911240040212126033921680708294332090783596451728753456486390849065806938453220902315871893631666763650339724010264909730317522123934627265082745251384095047413<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3831600274
Step 1 took 37314ms
********** Factor found in step 1: 26960001492109407621760776821029483
Found probable prime factor of 35 digits: 26960001492109407621760776821029483

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

22×10208-319

c193

name 名前Bob Backstrom
date 日付July 7, 2021 18:37:01 UTC 2021 年 7 月 8 日 (木) 3 時 37 分 1 秒 (日本時間)
composite number 合成数
4241051255439515117014279554332501986801799033811155399309284187541419030002955108267849713842479899484124167527595393267803618806849512264251586401021986103943006396247447005681079098968063777<193>
prime factors 素因数
33733309450745704026047788467474296727103981088340322172925772663650961063553609284928296105309<95>
125722952313110891801568512943939281808607491580031052704732280151552477108289294334533731862933653<99>
factorization results 素因数分解の結果
Number: n
N=4241051255439515117014279554332501986801799033811155399309284187541419030002955108267849713842479899484124167527595393267803618806849512264251586401021986103943006396247447005681079098968063777
  ( 193 digits)
SNFS difficulty: 209 digits.
Divisors found:

Thu Jul  8 04:30:20 2021  p95 factor: 33733309450745704026047788467474296727103981088340322172925772663650961063553609284928296105309
Thu Jul  8 04:30:20 2021  p99 factor: 125722952313110891801568512943939281808607491580031052704732280151552477108289294334533731862933653
Thu Jul  8 04:30:20 2021  elapsed time 03:18:31 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 22x10^208-31 = 24(207)1
#
n: 4241051255439515117014279554332501986801799033811155399309284187541419030002955108267849713842479899484124167527595393267803618806849512264251586401021986103943006396247447005681079098968063777
m: 100000000000000000000000000000000000000000
deg: 5
c5: 22000
c0: -31
skew: 0.27
# Murphy_E = 5.76e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 52600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9206874 hash collisions in 60871501 relations (53834450 unique)
Msieve: matrix is 2822424 x 2822649 (986.3 MB)

Sieving start time : 2021/07/07 05:36:34
Sieving end time  : 2021/07/08 01:10:14

Total sieving time: 19hrs 33min 40secs.

Total relation processing time: 2hrs 47min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 4sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:22:34 UTC 2013 年 4 月 16 日 (火) 15 時 22 分 34 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:45:34 UTC 2013 年 5 月 21 日 (火) 22 時 45 分 34 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 13:26:48 UTC 2016 年 3 月 26 日 (土) 22 時 26 分 48 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:46:10 UTC 2016 年 4 月 2 日 (土) 0 時 46 分 10 秒 (日本時間)

22×10210-319

c152

composite cofactor 合成数の残り
79928884888831718940706182277089537807846839277404159567852479640444435539771655145868782279889436100082184129867865167902459663621196211278014232561657<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiApril 2, 2013 03:17:01 UTC 2013 年 4 月 2 日 (火) 12 時 17 分 1 秒 (日本時間)
403e62000Warut RoonguthaiApril 2, 2013 03:17:01 UTC 2013 年 4 月 2 日 (火) 12 時 17 分 1 秒 (日本時間)
4511e61000 / 1868Dmitry DomanovMay 21, 2013 13:45:51 UTC 2013 年 5 月 21 日 (火) 22 時 45 分 51 秒 (日本時間)
5043e6600 / 7245300Dmitry DomanovMarch 25, 2016 18:55:47 UTC 2016 年 3 月 26 日 (土) 3 時 55 分 47 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:48:11 UTC 2016 年 4 月 2 日 (土) 0 時 48 分 11 秒 (日本時間)

22×10211-319

c190

name 名前Dmitry Domanov
date 日付May 20, 2013 05:23:11 UTC 2013 年 5 月 20 日 (月) 14 時 23 分 11 秒 (日本時間)
composite number 合成数
2382121719305532790942361394088604108188003245547718029242007806840746248232055824002858946332886637147630769464479825892333935377734471616633289396733141947047543254175056798550363685902669<190>
prime factors 素因数
1233405128030638857083896584827617537055593<43>
1931337615815684215114298662903330099260790826127162469861020397221288915521197989523219228850064948760938998638505684098836768122931432870111921733<148>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2299263482
Step 1 took 81940ms
Step 2 took 27093ms
********** Factor found in step 2: 1233405128030638857083896584827617537055593
Found probable prime factor of 43 digits: 1233405128030638857083896584827617537055593

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 16, 2013 06:23:00 UTC 2013 年 4 月 16 日 (火) 15 時 23 分 0 秒 (日本時間)

22×10212-319

c123

name 名前Warut Roonguthai
date 日付April 1, 2013 20:28:45 UTC 2013 年 4 月 2 日 (火) 5 時 28 分 45 秒 (日本時間)
composite number 合成数
105313000380453216436330390626747751720343135846252885909809235588550812238204289272956215393109867543539235370984562835473<123>
prime factors 素因数
349150494200329975809168048000367672617760627783961881<54>
301626382118274793571306026401957303633927980524065562140953384661433<69>
factorization results 素因数分解の結果
N = 105313000380453216436330390626747751720343135846252885909809235588550812238204289272956215393109867543539235370984562835473 (123 digits)
Divisors found:
r1=349150494200329975809168048000367672617760627783961881 (pp54)
r2=301626382118274793571306026401957303633927980524065562140953384661433 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 10.65 hours.
Factorization parameters were as follows:
n: 105313000380453216436330390626747751720343135846252885909809235588550812238204289272956215393109867543539235370984562835473
Y0: -407609637976889105637072
Y1: 10235750617673
c0: -17772030133195912486680712780087
c1: -109043630019085732381743654
c2: 679687505221627429889
c3: 1441308125203176
c4: -13804539964
c5: 9360
skew: 331358.21 
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10579498
Relations: 1471364 relations
Pruned matrix : 833247 x 833472
Polynomial selection time: 0.00 hours.
Total sieving time: 10.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.54 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 10.65 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

22×10213-319

c183

composite cofactor 合成数の残り
471360821587661661614372851026983111997209920418059350631631593814208915279077009121860149040809897080162513515429707604758665191452651332093261925371108652182620934823156595727926327<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:23:09 UTC 2013 年 4 月 16 日 (火) 15 時 23 分 9 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:46:02 UTC 2013 年 5 月 21 日 (火) 22 時 46 分 2 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 25, 2016 18:56:02 UTC 2016 年 3 月 26 日 (土) 3 時 56 分 2 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:48:26 UTC 2016 年 4 月 2 日 (土) 0 時 48 分 26 秒 (日本時間)

22×10214-319

c196

composite cofactor 合成数の残り
3440376358212215907663958606065163639814401551885049067732955094175716598554221314655923385773552530584160245656640043449351787007116691914681037877136962209024909249454808773370003065698384429179<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:23:18 UTC 2013 年 4 月 16 日 (火) 15 時 23 分 18 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:46:13 UTC 2013 年 5 月 21 日 (火) 22 時 46 分 13 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 14:33:50 UTC 2016 年 3 月 26 日 (土) 23 時 33 分 50 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:39:16 UTC 2016 年 4 月 3 日 (日) 5 時 39 分 16 秒 (日本時間)

22×10215-319

c201

composite cofactor 合成数の残り
252263280946017199024147254957712373813387735490850051963834095577262320140066167517254887909090805819382074967478883438654682891723052979117050732043676968096472177829158617760305208427550844768464369<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:23:33 UTC 2013 年 4 月 16 日 (火) 15 時 23 分 33 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:46:22 UTC 2013 年 5 月 21 日 (火) 22 時 46 分 22 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 18:40:07 UTC 2016 年 3 月 27 日 (日) 3 時 40 分 7 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:40:23 UTC 2016 年 4 月 3 日 (日) 5 時 40 分 23 秒 (日本時間)

22×10218-319

c208

name 名前Dmitry Domanov
date 日付April 3, 2013 05:11:26 UTC 2013 年 4 月 3 日 (水) 14 時 11 分 26 秒 (日本時間)
composite number 合成数
1996595846426011379028229106963134071265723530977922872578583237748519096245630287917563269923719625357361280799764873416020895212164590649839964016004095316902444648253937218057848967575337290433486948863839<208>
prime factors 素因数
91378317923722663029779476969939<32>
composite cofactor 合成数の残り
21849776750023502981460675149162640794641727502551389054989466954724321335993378960214455514500178955928106374674424327183993986995479222886761782726659592024899627058479100101<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2968921566
Step 1 took 23103ms
Step 2 took 8141ms
********** Factor found in step 2: 91378317923722663029779476969939
Found probable prime factor of 32 digits: 91378317923722663029779476969939

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:23:43 UTC 2013 年 4 月 16 日 (火) 15 時 23 分 43 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:46:31 UTC 2013 年 5 月 21 日 (火) 22 時 46 分 31 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 25, 2016 18:56:19 UTC 2016 年 3 月 26 日 (土) 3 時 56 分 19 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:48:40 UTC 2016 年 4 月 2 日 (土) 0 時 48 分 40 秒 (日本時間)

22×10219-319

c183

name 名前Warut Roonguthai
date 日付March 31, 2013 18:39:59 UTC 2013 年 4 月 1 日 (月) 3 時 39 分 59 秒 (日本時間)
composite number 合成数
288288871746824613108822814272253882399042887549422932349813682079364646887894200787582440183205092821168181731028609656783100287281110536066756033020940066081401163733087400109273601<183>
prime factors 素因数
44437217133241383950988282988267<32>
composite cofactor 合成数の残り
6487554584761999424436388303967644753824995310406715821091383305103515495607275300443466479408462344155406320151305526115123947750742770120818646206403<151>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1063036547
Step 1 took 10545ms
Step 2 took 6287ms
********** Factor found in step 2: 44437217133241383950988282988267
Found probable prime factor of 32 digits: 44437217133241383950988282988267
Composite cofactor 6487554584761999424436388303967644753824995310406715821091383305103515495607275300443466479408462344155406320151305526115123947750742770120818646206403 has 151 digits
software ソフトウェア
GMP-ECM 6.3

c151

name 名前Erik Branger
date 日付November 24, 2017 20:17:43 UTC 2017 年 11 月 25 日 (土) 5 時 17 分 43 秒 (日本時間)
composite number 合成数
6487554584761999424436388303967644753824995310406715821091383305103515495607275300443466479408462344155406320151305526115123947750742770120818646206403<151>
prime factors 素因数
7759558811693693729098156270929415070290965619<46>
149446616580240323554011678402156192544832896014833<51>
5594456593907594005194485588807463258395757615213205889<55>
factorization results 素因数分解の結果
Number: 24441_219
N = 6487554584761999424436388303967644753824995310406715821091383305103515495607275300443466479408462344155406320151305526115123947750742770120818646206403 (151 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=7759558811693693729098156270929415070290965619 (pp46)
r2=149446616580240323554011678402156192544832896014833 (pp51)
r3=5594456593907594005194485588807463258395757615213205889 (pp55)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.28 hours.
Factorization parameters were as follows:
n: 6487554584761999424436388303967644753824995310406715821091383305103515495607275300443466479408462344155406320151305526115123947750742770120818646206403
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: -155
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: 26429458
Relations: 8370806 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.93 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 7299360 x 7299585
Matrix solve time: 31.39 hours.
time per square root: 0.71 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 74.28 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
351e61418118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiApril 2, 2013 03:16:10 UTC 2013 年 4 月 2 日 (火) 12 時 16 分 10 秒 (日本時間)
403e62000Warut RoonguthaiApril 2, 2013 03:16:10 UTC 2013 年 4 月 2 日 (火) 12 時 16 分 10 秒 (日本時間)
4511e639741000Dmitry DomanovMay 21, 2013 13:46:41 UTC 2013 年 5 月 21 日 (火) 22 時 46 分 41 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:15 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 15 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:14 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 14 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:17 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 17 秒 (日本時間)
824Ignacio SantosDecember 27, 2015 18:08:55 UTC 2015 年 12 月 28 日 (月) 3 時 8 分 55 秒 (日本時間)

22×10220-319

c205

name 名前Warut Roonguthai
date 日付March 31, 2013 18:38:41 UTC 2013 年 4 月 1 日 (月) 3 時 38 分 41 秒 (日本時間)
composite number 合成数
2799437661723742099689832428821000931230105800998483986998913540634924526950731947462149445532048947007657244573814124959936383796038390747196451347156918102070807534236526498344077988644015088170777480319<205>
prime factors 素因数
10600890346235256754825411583<29>
composite cofactor 合成数の残り
264075711595103834946483747656620962994546022087398820137055980207998472343508790071825548745341821816818097012981484888031828559831737582280715028859560324722122477846480465793<177>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3624676988
Step 1 took 11466ms
Step 2 took 6661ms
********** Factor found in step 2: 10600890346235256754825411583
Found probable prime factor of 29 digits: 10600890346235256754825411583
Composite cofactor 264075711595103834946483747656620962994546022087398820137055980207998472343508790071825548745341821816818097012981484888031828559831737582280715028859560324722122477846480465793 has 177 digits
software ソフトウェア
GMP-ECM 6.3

c177

name 名前Erik Branger
date 日付December 3, 2018 15:32:14 UTC 2018 年 12 月 4 日 (火) 0 時 32 分 14 秒 (日本時間)
composite number 合成数
264075711595103834946483747656620962994546022087398820137055980207998472343508790071825548745341821816818097012981484888031828559831737582280715028859560324722122477846480465793<177>
prime factors 素因数
120198774488265479448507761934410858114295803108400031117394309138497161893509<78>
2196991714095092370238689649825770135463224294495182522128420081549018741182581958267259104224918477<100>
factorization results 素因数分解の結果
Number: 24441_220
N = 264075711595103834946483747656620962994546022087398820137055980207998472343508790071825548745341821816818097012981484888031828559831737582280715028859560324722122477846480465793 (177 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=120198774488265479448507761934410858114295803108400031117394309138497161893509 (pp78)
r2=2196991714095092370238689649825770135463224294495182522128420081549018741182581958267259104224918477 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.89 hours.
Factorization parameters were as follows:
n: 264075711595103834946483747656620962994546022087398820137055980207998472343508790071825548745341821816818097012981484888031828559831737582280715028859560324722122477846480465793
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 22
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30943528
Relations: 8116664 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.67 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7051941 x 7052166
Matrix solve time: 22.55 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 41.89 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
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 KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:24:02 UTC 2013 年 4 月 16 日 (火) 15 時 24 分 2 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:46:52 UTC 2013 年 5 月 21 日 (火) 22 時 46 分 52 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 25, 2016 18:56:41 UTC 2016 年 3 月 26 日 (土) 3 時 56 分 41 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:49:06 UTC 2016 年 4 月 2 日 (土) 0 時 49 分 6 秒 (日本時間)

22×10221-319

c197

name 名前Dmitry Domanov
date 日付April 3, 2013 05:19:03 UTC 2013 年 4 月 3 日 (水) 14 時 19 分 3 秒 (日本時間)
composite number 合成数
14840558220977180154600396722184559911162088122580187599101352320299048525919534780868612443601664188264426040319643897155868369637032619710477552524892068176201103942403556841314510223602077495067<197>
prime factors 素因数
9095160770829502739876592528631837<34>
composite cofactor 合成数の残り
1631698283836238549250658588801560566337783837884071165068896529740174267474290956570124110307127294455645883002104760402465049698914772411771740746935265507376791<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1174491066
Step 1 took 37566ms
********** Factor found in step 1: 9095160770829502739876592528631837
Found probable prime factor of 34 digits: 9095160770829502739876592528631837

c163

name 名前Erik Branger
date 日付May 13, 2021 07:26:51 UTC 2021 年 5 月 13 日 (木) 16 時 26 分 51 秒 (日本時間)
composite number 合成数
1631698283836238549250658588801560566337783837884071165068896529740174267474290956570124110307127294455645883002104760402465049698914772411771740746935265507376791<163>
prime factors 素因数
1767028625741748105276664239502017860555935201540497388229511612773<67>
923413610886636458981423179336676663244455667642225281319712410057893688468262173351587734677067<96>
factorization results 素因数分解の結果
Number: 24441_221
N = 1631698283836238549250658588801560566337783837884071165068896529740174267474290956570124110307127294455645883002104760402465049698914772411771740746935265507376791 (163 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1767028625741748105276664239502017860555935201540497388229511612773 (pp67)
r2=923413610886636458981423179336676663244455667642225281319712410057893688468262173351587734677067 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.83 hours.
Factorization parameters were as follows:
n: 1631698283836238549250658588801560566337783837884071165068896529740174267474290956570124110307127294455645883002104760402465049698914772411771740746935265507376791
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 220
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8561264 relations
Pruned matrix : 7311549 x 7311774
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 30.36 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 26.77 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 57.83 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-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 KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:24:11 UTC 2013 年 4 月 16 日 (火) 15 時 24 分 11 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:47:02 UTC 2013 年 5 月 21 日 (火) 22 時 47 分 2 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 25, 2016 18:56:59 UTC 2016 年 3 月 26 日 (土) 3 時 56 分 59 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:49:21 UTC 2016 年 4 月 2 日 (土) 0 時 49 分 21 秒 (日本時間)

22×10222-319

c180

name 名前Erik Branger
date 日付July 25, 2020 17:27:12 UTC 2020 年 7 月 26 日 (日) 2 時 27 分 12 秒 (日本時間)
composite number 合成数
790584451827015108221414407441729116557952308288882087493006955399627583028525380471827800251911692940130458323449293229228241422989997823570518980182981923255317737524463417375161<180>
prime factors 素因数
119824423599578769304384074854061255810524099813762656336984790389157<69>
6597857332232510970785469650945072665151887060001525817664440917576079825064709430253141947338204397012565943173<112>
factorization results 素因数分解の結果
Number: 24441_222
N = 790584451827015108221414407441729116557952308288882087493006955399627583028525380471827800251911692940130458323449293229228241422989997823570518980182981923255317737524463417375161 (180 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=119824423599578769304384074854061255810524099813762656336984790389157 (pp69)
r2=6597857332232510970785469650945072665151887060001525817664440917576079825064709430253141947338204397012565943173 (pp112)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.82 hours.
Factorization parameters were as follows:
n: 790584451827015108221414407441729116557952308288882087493006955399627583028525380471827800251911692940130458323449293229228241422989997823570518980182981923255317737524463417375161
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2200
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35324093
Relations: 9558848 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 30.50 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 8208386 x 8208611
Matrix solve time: 30.71 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 61.82 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
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 KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:24:22 UTC 2013 年 4 月 16 日 (火) 15 時 24 分 22 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:47:12 UTC 2013 年 5 月 21 日 (火) 22 時 47 分 12 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 25, 2016 18:58:17 UTC 2016 年 3 月 26 日 (土) 3 時 58 分 17 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:49:35 UTC 2016 年 4 月 2 日 (土) 0 時 49 分 35 秒 (日本時間)

22×10223-319

c213

composite cofactor 合成数の残り
607744467347639177054218879938949576281615531217863545011190627209630937526718329583868248338424421126004216056615202564089534507430106743098364941337528922877334584243538268128798484432922881076455879098276221209<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:24:38 UTC 2013 年 4 月 16 日 (火) 15 時 24 分 38 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:47:21 UTC 2013 年 5 月 21 日 (火) 22 時 47 分 21 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 27, 2016 17:09:10 UTC 2016 年 3 月 28 日 (月) 2 時 9 分 10 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:40:44 UTC 2016 年 4 月 3 日 (日) 5 時 40 分 44 秒 (日本時間)

22×10225-319

c206

composite cofactor 合成数の残り
37796527442493072365205496618892074857363357245483048618452102158899986968870372374692459563721826176714025080680522311966631892122803317435178230476059898117241437713267208479165270045610806291255501982463<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:24:46 UTC 2013 年 4 月 16 日 (火) 15 時 24 分 46 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:47:30 UTC 2013 年 5 月 21 日 (火) 22 時 47 分 30 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 18:40:29 UTC 2016 年 3 月 27 日 (日) 3 時 40 分 29 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:40:59 UTC 2016 年 4 月 3 日 (日) 5 時 40 分 59 秒 (日本時間)

22×10226-319

c182

name 名前Dmitry Domanov
date 日付May 21, 2013 05:18:43 UTC 2013 年 5 月 21 日 (火) 14 時 18 分 43 秒 (日本時間)
composite number 合成数
31737066717498245103833990283783947800177942462813768386709360338828672727078606295045683256848433156689979829885109940642910263256169901056819442104228144052832269684377312011069623<182>
prime factors 素因数
692531101436345833777631906239308769217249<42>
45827641028213612126736975740795637140358245243943870196158979542546753288797613793194831931305131122115566297023286546708614561341054271127<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1449508308
Step 1 took 72165ms
Step 2 took 23136ms
********** Factor found in step 2: 692531101436345833777631906239308769217249
Found probable prime factor of 42 digits: 692531101436345833777631906239308769217249

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 16, 2013 06:24:57 UTC 2013 年 4 月 16 日 (火) 15 時 24 分 57 秒 (日本時間)

22×10227-319

c215

composite cofactor 合成数の残り
16401184229589143868881238473027889659391383685758305573587215778564341381850041254202125403692396605943711335981778903318855439464512601372975724547172136743448677154139315217962882870299608493882597437308352691543<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:25:06 UTC 2013 年 4 月 16 日 (火) 15 時 25 分 6 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:47:41 UTC 2013 年 5 月 21 日 (火) 22 時 47 分 41 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 27, 2016 17:08:35 UTC 2016 年 3 月 28 日 (月) 2 時 8 分 35 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:43:19 UTC 2016 年 4 月 3 日 (日) 5 時 43 分 19 秒 (日本時間)

22×10228-319

c195

composite cofactor 合成数の残り
222656549117946215023852529493902451885448943264018215627866912925078159040172968869656696864634196479753578417580167241819117021429576187578800551165471842678317881088291781088607982956096337669<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:25:16 UTC 2013 年 4 月 16 日 (火) 15 時 25 分 16 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:47:50 UTC 2013 年 5 月 21 日 (火) 22 時 47 分 50 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 17:28:21 UTC 2016 年 3 月 27 日 (日) 2 時 28 分 21 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:41:19 UTC 2016 年 4 月 3 日 (日) 5 時 41 分 19 秒 (日本時間)

22×10229-319

c182

name 名前Dmitry Domanov
date 日付April 3, 2013 05:18:32 UTC 2013 年 4 月 3 日 (水) 14 時 18 分 32 秒 (日本時間)
composite number 合成数
49761191356691187217516637302002314719689164895706166508539781223313341934231237362129420823279085340679686913954743534190193846680737561651327479313663482754476739339733374918202653<182>
prime factors 素因数
15869757212318905831043315032371716893<38>
composite cofactor 合成数の残り
3135598780179449822997399549908649052009082458016672511724514411160175980732268911646608111254180127932081137645867712594888100129216565709560321<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3822365136
Step 1 took 31762ms
Step 2 took 11259ms
********** Factor found in step 2: 15869757212318905831043315032371716893
Found probable prime factor of 38 digits: 15869757212318905831043315032371716893

c145

name 名前Robert Balfour
date 日付April 1, 2020 23:57:39 UTC 2020 年 4 月 2 日 (木) 8 時 57 分 39 秒 (日本時間)
composite number 合成数
3135598780179449822997399549908649052009082458016672511724514411160175980732268911646608111254180127932081137645867712594888100129216565709560321<145>
prime factors 素因数
31246402344508480017596804046911937778801179748168277<53>
100350713839237488193388675150168473603290508771354374161609354855150187841542201025627909373<93>
factorization results 素因数分解の結果
PID22072 2020-04-01 08:10:03,604 Debug:root: Root parameter dictionary:
N = 3135598780179449822997399549908649052009082458016672511724514411160175980732268911646608111254180127932081137645867712594888100129216565709560321
name = 24441_229
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID22072 2020-04-01 08:40:38,421 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 3135598780179449822997399549908649052009082458016672511724514411160175980732268911646608111254180127932081137645867712594888100129216565709560321
skew: 176740.854
c0: -7523746045858225968191250118272
c1: -24102786496287672285149822
c2: 17630352035166141793181
c3: 10039071122705050
c4: -329633681472
c5: 142560
Y0: -9213603341042690487655495023
Y1: 24729912246810656707
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.869e-06
PID22072 2020-04-01 13:16:16,278 Info:Square Root: Factors: 31246402344508480017596804046911937778801179748168277 100350713839237488193388675150168473603290508771354374161609354855150187841542201025627909373
PID22072 2020-04-01 13:16:16,278 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID22072 2020-04-01 13:16:16,278 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID22072 2020-04-01 13:16:16,278 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID22072 2020-04-01 13:16:16,278 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146730/42.750/52.633/61.570/1.220
PID22072 2020-04-01 13:16:16,278 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121549/41.390/46.530/53.220/0.981
PID22072 2020-04-01 13:16:16,278 Info:Polynomial Selection (size optimized): Total time: 61386
PID22072 2020-04-01 13:16:16,278 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID22072 2020-04-01 13:16:16,278 Info:Polynomial Selection (root optimized): Total time: 2264.43
PID22072 2020-04-01 13:16:16,278 Info:Polynomial Selection (root optimized): Rootsieve time: 2262.84
PID22072 2020-04-01 13:16:16,278 Info:Generate Factor Base: Total cpu/real time for makefb: 14.34/2.75923
PID22072 2020-04-01 13:16:16,278 Info:Generate Free Relations: Total cpu/real time for freerel: 1341.46/226.613
PID22072 2020-04-01 13:16:16,278 Info:Lattice Sieving: Aggregate statistics:
PID22072 2020-04-01 13:16:16,279 Info:Lattice Sieving: Total number of relations: 93799189
PID22072 2020-04-01 13:16:16,279 Info:Lattice Sieving: Average J: 7758.18 for 501163 special-q, max bucket fill -bkmult 1.0,1s:1.085320
PID22072 2020-04-01 13:16:16,279 Info:Lattice Sieving: Total time: 467107s
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 272.46/308.33
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 307.7s
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1050.13/435.958
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 344.19999999999993s
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Singleton removal: Total cpu/real time for purge: 411.62/258.001
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Merging: Total cpu/real time for merge: 156.04/35.8606
PID22072 2020-04-01 13:16:16,279 Info:Filtering - Merging: Total cpu/real time for replay: 55.45/56.3379
PID22072 2020-04-01 13:16:16,279 Info:Linear Algebra: Total cpu/real time for bwc: 42070/7356.34
PID22072 2020-04-01 13:16:16,279 Info:Linear Algebra: Aggregate statistics:
PID22072 2020-04-01 13:16:16,279 Info:Linear Algebra: Krylov: WCT time 4657.91, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
PID22072 2020-04-01 13:16:16,279 Info:Linear Algebra: Lingen CPU time 271.74, WCT time 51.25
PID22072 2020-04-01 13:16:16,279 Info:Linear Algebra: Mksol: WCT time 2524.78, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
PID22072 2020-04-01 13:16:16,279 Info:Quadratic Characters: Total cpu/real time for characters: 72.07/22.1837
PID22072 2020-04-01 13:16:16,279 Info:Square Root: Total cpu/real time for sqrt: 618.68/139.254
PID22072 2020-04-01 13:16:16,280 Info:HTTP server: Shutting down HTTP server
PID22072 2020-04-01 13:16:16,347 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.07428e+06/18371.7
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 4, 2013 12:19:26 UTC 2013 年 4 月 4 日 (木) 21 時 19 分 26 秒 (日本時間)
403e61220110Ignacio SantosApril 4, 2013 12:19:26 UTC 2013 年 4 月 4 日 (木) 21 時 19 分 26 秒 (日本時間)
110Ignacio SantosApril 4, 2013 12:19:41 UTC 2013 年 4 月 4 日 (木) 21 時 19 分 41 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:25:25 UTC 2013 年 4 月 16 日 (火) 15 時 25 分 25 秒 (日本時間)
4511e6419132Ignacio SantosApril 4, 2013 12:19:26 UTC 2013 年 4 月 4 日 (木) 21 時 19 分 26 秒 (日本時間)
32Ignacio SantosApril 4, 2013 12:19:41 UTC 2013 年 4 月 4 日 (木) 21 時 19 分 41 秒 (日本時間)
1000Dmitry DomanovMay 21, 2013 13:48:01 UTC 2013 年 5 月 21 日 (火) 22 時 48 分 1 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:05 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 5 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:17 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 17 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:59 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 59 秒 (日本時間)
77KTakahashiMay 25, 2014 22:23:14 UTC 2014 年 5 月 26 日 (月) 7 時 23 分 14 秒 (日本時間)

22×10231-319

c222

composite cofactor 合成数の残り
642712630272339990931623356088254696805127226990145408216079754453586439438022316254918778320916780737283550160702395137798881681700221809217247860791096465894187242107505457409447040845567937124280642248920121009009690057<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:25:36 UTC 2013 年 4 月 16 日 (火) 15 時 25 分 36 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:48:12 UTC 2013 年 5 月 21 日 (火) 22 時 48 分 12 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 27, 2016 19:35:08 UTC 2016 年 3 月 28 日 (月) 4 時 35 分 8 秒 (日本時間)
300Dmitry DomanovApril 3, 2016 22:39:05 UTC 2016 年 4 月 4 日 (月) 7 時 39 分 5 秒 (日本時間)

22×10232-319

c230

name 名前Warut Roonguthai
date 日付March 31, 2013 22:14:24 UTC 2013 年 4 月 1 日 (月) 7 時 14 分 24 秒 (日本時間)
composite number 合成数
47649989170457006714316655837123673380983322503790340047649989170457006714316655837123673380983322503790340047649989170457006714316655837123673380983322503790340047649989170457006714316655837123673380983322503790340047649989170457<230>
prime factors 素因数
137050263282836380313645905919<30>
347682580310843505649377601551149006964963798108199490684616094145629047925846933499845988803118335353420467055434565831557925304596122454692988823940153195691490708286525488968301734663823246623683303<201>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1404681107
Step 1 took 14086ms
Step 2 took 8237ms
********** Factor found in step 2: 137050263282836380313645905919
Found probable prime factor of 30 digits: 137050263282836380313645905919
Probable prime cofactor 347682580310843505649377601551149006964963798108199490684616094145629047925846933499845988803118335353420467055434565831557925304596122454692988823940153195691490708286525488968301734663823246623683303 has 201 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

22×10233-319

c213

composite cofactor 合成数の残り
175536069546085087135729066227742374191953005691774128439975461744706213900685243685334595522412313335514872366227575376384732070428881465686310491770023169457792972181582316181688069229391181403716268248654848551<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:25:46 UTC 2013 年 4 月 16 日 (火) 15 時 25 分 46 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:48:24 UTC 2013 年 5 月 21 日 (火) 22 時 48 分 24 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 27, 2016 17:08:16 UTC 2016 年 3 月 28 日 (月) 2 時 8 分 16 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:43:36 UTC 2016 年 4 月 3 日 (日) 5 時 43 分 36 秒 (日本時間)

22×10234-319

c224

name 名前Dmitry Domanov
date 日付April 3, 2013 05:12:33 UTC 2013 年 4 月 3 日 (水) 14 時 12 分 33 秒 (日本時間)
composite number 合成数
20534865543451168574057610679812564613095668007399348042493008221870425045656614294110870879281266629227486553524190803963296710774596439597121757463188721468768467429019061605725289101773407998948357623379771812768354539447<224>
prime factors 素因数
391176900021091192334937904105707463<36>
composite cofactor 合成数の残り
52495087369279690568928695137698990443815949406522446514156171943340535420448364684225130573291043712350890420916854154709188048147382857401421454836861409221097191885467350841611022311569<188>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=669607865
Step 1 took 31708ms
********** Factor found in step 1: 391176900021091192334937904105707463
Found probable prime factor of 36 digits: 391176900021091192334937904105707463

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:25:57 UTC 2013 年 4 月 16 日 (火) 15 時 25 分 57 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:48:32 UTC 2013 年 5 月 21 日 (火) 22 時 48 分 32 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 25, 2016 18:58:38 UTC 2016 年 3 月 26 日 (土) 3 時 58 分 38 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:50:00 UTC 2016 年 4 月 2 日 (土) 0 時 50 分 0 秒 (日本時間)

22×10235-319

c235

name 名前Dmitry Domanov
date 日付April 3, 2013 05:13:05 UTC 2013 年 4 月 3 日 (水) 14 時 13 分 5 秒 (日本時間)
composite number 合成数
1164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021<235>
prime factors 素因数
12601295499400127984246251077727131829<38>
composite cofactor 合成数の残り
92373134498478833351468968154405555670002307241329880320967945478112890031777068057289294318852876997380144704367727462466428582472811033469186046047496626200456870267254140805821591865286545283649<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=764524986
Step 1 took 29977ms
Step 2 took 11028ms
********** Factor found in step 2: 12601295499400127984246251077727131829
Found probable prime factor of 38 digits: 12601295499400127984246251077727131829

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:26:06 UTC 2013 年 4 月 16 日 (火) 15 時 26 分 6 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:48:43 UTC 2013 年 5 月 21 日 (火) 22 時 48 分 43 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 17:29:46 UTC 2016 年 3 月 27 日 (日) 2 時 29 分 46 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:44:02 UTC 2016 年 4 月 3 日 (日) 5 時 44 分 2 秒 (日本時間)

22×10236-319

c177

name 名前Dmitry Domanov
date 日付April 3, 2013 05:20:02 UTC 2013 年 4 月 3 日 (水) 14 時 20 分 2 秒 (日本時間)
composite number 合成数
251817273981579756989416319133016116905978915971648425375104235423860926278817576103498076538355347928770146521377593496855084223201573095836099865952609518543598203194218293339<177>
prime factors 素因数
1101395534127969985934280466405771492973<40>
228634733098819132682875456556692116245576626990669556646927709253794296347802902018406844662783044774346250430560252326241403378091533543<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=444666721
Step 1 took 32171ms
Step 2 took 11271ms
********** Factor found in step 2: 1101395534127969985934280466405771492973
Found probable prime factor of 40 digits: 1101395534127969985934280466405771492973

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

22×10237-319

c204

composite cofactor 合成数の残り
584768058143373762471060558313751297544104494218787384878990768391190594007242770580625065966697899269373956207889646463729392135285001898884611982220779691009508473757462866410702772520896530749782938567<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:26:14 UTC 2013 年 4 月 16 日 (火) 15 時 26 分 14 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:48:56 UTC 2013 年 5 月 21 日 (火) 22 時 48 分 56 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 18:40:58 UTC 2016 年 3 月 27 日 (日) 3 時 40 分 58 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:44:19 UTC 2016 年 4 月 3 日 (日) 5 時 44 分 19 秒 (日本時間)

22×10238-319

c209

composite cofactor 合成数の残り
11539057916316721936632355921215574238355805220297083957620006523591947710590103855259446136372872193317663124060643728956317249465419550698380962724942278869152561236404995980636154887584397285516417267612103<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:26:24 UTC 2013 年 4 月 16 日 (火) 15 時 26 分 24 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:49:07 UTC 2013 年 5 月 21 日 (火) 22 時 49 分 7 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 18:41:09 UTC 2016 年 3 月 27 日 (日) 3 時 41 分 9 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:44:34 UTC 2016 年 4 月 3 日 (日) 5 時 44 分 34 秒 (日本時間)

22×10240-319

c205

composite cofactor 合成数の残り
1357454345918534087616423241198006374506801791261033811985559306776274483586214446138735030015254951946641719120126664496957925960947095223941604381886171169291534960456923489177495464403992494762063549897<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:26:34 UTC 2013 年 4 月 16 日 (火) 15 時 26 分 34 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:49:17 UTC 2013 年 5 月 21 日 (火) 22 時 49 分 17 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 18:41:20 UTC 2016 年 3 月 27 日 (日) 3 時 41 分 20 秒 (日本時間)
300Dmitry DomanovApril 2, 2016 20:44:50 UTC 2016 年 4 月 3 日 (日) 5 時 44 分 50 秒 (日本時間)

22×10241-319

c213

name 名前Dmitry Domanov
date 日付April 3, 2013 05:11:55 UTC 2013 年 4 月 3 日 (水) 14 時 11 分 55 秒 (日本時間)
composite number 合成数
110339358372292358710229149012966988061780860295790999187341328377370563833435356549965026265820156695286936238211683629821126525408771622700919842232199276437643562265830504742265878033369203510223148582521206683<213>
prime factors 素因数
566713982657773638447969751322071790791<39>
194700257535244051741986012849730605110719288532787712554519172113573738568486408708709951480801358183625031441684735090504684561704403677541080379675327779108706812510710413<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1979417909
Step 1 took 27432ms
Step 2 took 10125ms
********** Factor found in step 2: 566713982657773638447969751322071790791
Found probable prime factor of 39 digits: 566713982657773638447969751322071790791

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

22×10242-319

c179

composite cofactor 合成数の残り
12406381665203673156661233586377191094940515237383327432338661609471156054751471470783202218391118802583960441127317296697331218288253280920110094432866452626919921690778106846819<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:26:43 UTC 2013 年 4 月 16 日 (火) 15 時 26 分 43 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:49:27 UTC 2013 年 5 月 21 日 (火) 22 時 49 分 27 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 25, 2016 18:58:54 UTC 2016 年 3 月 26 日 (土) 3 時 58 分 54 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:50:16 UTC 2016 年 4 月 2 日 (土) 0 時 50 分 16 秒 (日本時間)

22×10245-319

c240

composite cofactor 合成数の残り
326003732149999059034682203411806877167276515921059085360965409670367253577112996894518084242031690822802301408528761456993661746529430950112686153687939447474056400720231154428116102969167900664884611719923080901234353858380125982660454221<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:26:53 UTC 2013 年 4 月 16 日 (火) 15 時 26 分 53 秒 (日本時間)
4511e62000 / 3202Dmitry DomanovMay 17, 2013 17:15:03 UTC 2013 年 5 月 18 日 (土) 2 時 15 分 3 秒 (日本時間)
5043e6300 / 7066Dmitry DomanovApril 5, 2016 10:11:24 UTC 2016 年 4 月 5 日 (火) 19 時 11 分 24 秒 (日本時間)

22×10246-319

c242

name 名前Markus Tervooren
date 日付April 9, 2013 21:13:26 UTC 2013 年 4 月 10 日 (水) 6 時 13 分 26 秒 (日本時間)
composite number 合成数
12290248749048204031536778290057691544923373092288036504273375354811101669965481160445286885131424657702606147247235671664887373836406733492101001264219678140731169243987694109116180280072423083992118598665837633523776324176539367622010047837<242>
prime factors 素因数
686776299737259600651624245169925699<36>
composite cofactor 合成数の残り
17895563306057724299942389195017053197422667348136512423042263172649312884964175560061369215659055073322807659512829576112354430943319093985576498375114531366592088562294782740989820900122974330017533111263<206>
factorization results 素因数分解の結果
Using B1=2311160, B2=2311160-3567716890, polynomial Dickson(6), sigma=4107292891
Step 1 took 10416ms
Step 2 took 4437ms
********** Factor found in step 2: 686776299737259600651624245169925699
Found probable prime factor of 36 digits: 686776299737259600651624245169925699
Composite cofactor 17895563306057724299942389195017053197422667348136512423042263172649312884964175560061369215659055073322807659512829576112354430943319093985576498375114531366592088562294782740989820900122974330017533111263 has 206 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:27:02 UTC 2013 年 4 月 16 日 (火) 15 時 27 分 2 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:49:46 UTC 2013 年 5 月 21 日 (火) 22 時 49 分 46 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 18:41:34 UTC 2016 年 3 月 27 日 (日) 3 時 41 分 34 秒 (日本時間)
300Dmitry DomanovApril 3, 2016 22:39:54 UTC 2016 年 4 月 4 日 (月) 7 時 39 分 54 秒 (日本時間)

22×10247-319

c210

composite cofactor 合成数の残り
440193413417003746366424005508128694349130052124773950806101269216140576208588746056876399405796024098190365817380066569278059667456881485776098636310243218752776511385771528682047170160798769571828377568521953<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:27:11 UTC 2013 年 4 月 16 日 (火) 15 時 27 分 11 秒 (日本時間)
4511e686991000Dmitry DomanovMay 21, 2013 13:49:57 UTC 2013 年 5 月 21 日 (火) 22 時 49 分 57 秒 (日本時間)
7699Vinod mulevaMarch 6, 2018 04:20:29 UTC 2018 年 3 月 6 日 (火) 13 時 20 分 29 秒 (日本時間)
5043e69366300Dmitry DomanovMarch 26, 2016 18:41:50 UTC 2016 年 3 月 27 日 (日) 3 時 41 分 50 秒 (日本時間)
300Dmitry DomanovApril 4, 2016 14:02:29 UTC 2016 年 4 月 4 日 (月) 23 時 2 分 29 秒 (日本時間)
8766Vinod mulevaMarch 6, 2018 04:20:29 UTC 2018 年 3 月 6 日 (火) 13 時 20 分 29 秒 (日本時間)
5511e77633Vinod mulevaMarch 6, 2018 04:20:29 UTC 2018 年 3 月 6 日 (火) 13 時 20 分 29 秒 (日本時間)
6026e75947 / 37898Vinod mulevaMarch 6, 2018 04:20:29 UTC 2018 年 3 月 6 日 (火) 13 時 20 分 29 秒 (日本時間)

22×10248-319

c209

composite cofactor 合成数の残り
14933659618122148026473591357404931123344402706163179177147365092522506637975103603194689027271260748241926191180745410336496334405397939694076435034998279357654212616158512441583934049203516684727452509885277<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:27:19 UTC 2013 年 4 月 16 日 (火) 15 時 27 分 19 秒 (日本時間)
4511e61000 / 2149Dmitry DomanovMay 21, 2013 13:50:09 UTC 2013 年 5 月 21 日 (火) 22 時 50 分 9 秒 (日本時間)
5043e6600 / 7291300Dmitry DomanovMarch 26, 2016 18:42:01 UTC 2016 年 3 月 27 日 (日) 3 時 42 分 1 秒 (日本時間)
300Dmitry DomanovApril 4, 2016 14:02:43 UTC 2016 年 4 月 4 日 (月) 23 時 2 分 43 秒 (日本時間)

22×10249-319

c203

name 名前Dmitry Domanov
date 日付May 20, 2013 05:22:40 UTC 2013 年 5 月 20 日 (月) 14 時 22 分 40 秒 (日本時間)
composite number 合成数
40606197296558825410858902324678098326711277044651893192645667437398830499945406014606234061038483796753136540120744186394881878356307492924897372623399433983608670561643327082121890953068970551594163059<203>
prime factors 素因数
128585629102365738783384903825034425264784796393<48>
315791100296539639960742599775561894630203119071319807871653035066785564122721276574036544824484560720604480768326416246168048836682244356395776217483207163<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=570336296
Step 1 took 101499ms
Step 2 took 34468ms
********** Factor found in step 2: 128585629102365738783384903825034425264784796393
Found probable prime factor of 48 digits: 128585629102365738783384903825034425264784796393

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovApril 16, 2013 06:27:27 UTC 2013 年 4 月 16 日 (火) 15 時 27 分 27 秒 (日本時間)

22×10250-319

c199

name 名前Warut Roonguthai
date 日付March 31, 2013 16:05:23 UTC 2013 年 4 月 1 日 (月) 1 時 5 分 23 秒 (日本時間)
composite number 合成数
1016940387350145679420758744160104450476976028020888660510311163121411234408757448274166700386169630862064288039619490305176913981508763495910995585206753125436283598686157666590661165118182979353113<199>
prime factors 素因数
106894410608294319989160782007939197701<39>
9513503854533977235224490103003025842542048755050499697526829968111429427968163458651115204713281518939509996103911136015029119113321392965581806944009740683013<160>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3376222634
Step 1 took 9906ms
Step 2 took 5819ms
********** Factor found in step 2: 106894410608294319989160782007939197701
Found probable prime factor of 39 digits: 106894410608294319989160782007939197701
Probable prime cofactor 9513503854533977235224490103003025842542048755050499697526829968111429427968163458651115204713281518939509996103911136015029119113321392965581806944009740683013 has 160 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 31, 2013 14:00:00 UTC 2013 年 3 月 31 日 (日) 23 時 0 分 0 秒 (日本時間)

22×10251-319

c155

composite cofactor 合成数の残り
15775420534833332117965466965865651126757007399523907888938395454876624354807235938059839410489328768043087310536435727943399428136163734290696274893503381<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 14, 2016 14:08:39 UTC 2016 年 3 月 14 日 (月) 23 時 8 分 39 秒 (日本時間)
4511e63200800Dmitry DomanovMarch 16, 2016 13:47:48 UTC 2016 年 3 月 16 日 (水) 22 時 47 分 48 秒 (日本時間)
800Dmitry DomanovMarch 16, 2016 13:49:54 UTC 2016 年 3 月 16 日 (水) 22 時 49 分 54 秒 (日本時間)
1600Lionel DebrouxJanuary 3, 2018 15:41:06 UTC 2018 年 1 月 4 日 (木) 0 時 41 分 6 秒 (日本時間)
5043e6300 / 6785Dmitry DomanovMarch 25, 2016 18:59:14 UTC 2016 年 3 月 26 日 (土) 3 時 59 分 14 秒 (日本時間)

22×10252-319

c208

name 名前Dmitry Domanov
date 日付March 18, 2016 06:17:55 UTC 2016 年 3 月 18 日 (金) 15 時 17 分 55 秒 (日本時間)
composite number 合成数
4490514180828204890461018184016175910894243381867070838490394997084383338208454583691645924161435746570543433291685211688482674022535021208493410771933172833933927624888906708146131797192711376886701092291683<208>
prime factors 素因数
148053513249385258266507321231465847517<39>
composite cofactor 合成数の残り
30330345307404248439965496101518485121685966472754891966452999571753841747527222132772471645048930859905694081764800203036722669797579373784813018677509939654403849537599<170>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2752583514
Step 1 took 32103ms
Step 2 took 11022ms
********** Factor found in step 2: 148053513249385258266507321231465847517
Found probable prime factor of 39 digits: 148053513249385258266507321231465847517

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:31:10 UTC 2016 年 3 月 17 日 (木) 23 時 31 分 10 秒 (日本時間)
4511e61000Dmitry DomanovMarch 21, 2016 20:31:26 UTC 2016 年 3 月 22 日 (火) 5 時 31 分 26 秒 (日本時間)
5043e6600 / 6896Dmitry DomanovMarch 22, 2016 07:12:48 UTC 2016 年 3 月 22 日 (火) 16 時 12 分 48 秒 (日本時間)
5511e7168 / 17487Dmitry DomanovMarch 22, 2016 11:04:30 UTC 2016 年 3 月 22 日 (火) 20 時 4 分 30 秒 (日本時間)

22×10253-319

c198

composite cofactor 合成数の残り
102256682298130306292634599880501881099016251585840999117439833827294162338976078811740379328382475512374905524219013403450877698374450543827249492606781141432923682547620928272590644330170307717089<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:30:51 UTC 2016 年 3 月 17 日 (木) 23 時 30 分 51 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:41:31 UTC 2016 年 3 月 23 日 (水) 21 時 41 分 31 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 26, 2016 18:38:47 UTC 2016 年 3 月 27 日 (日) 3 時 38 分 47 秒 (日本時間)
300Dmitry DomanovApril 4, 2016 14:03:12 UTC 2016 年 4 月 4 日 (月) 23 時 3 分 12 秒 (日本時間)

22×10255-319

c213

composite cofactor 合成数の残り
786915639141268245160443676601548047813008650963355673701575814346165757610513568134832394045711081308318015187743163685384425233693194104349354302809900603833279823303368275675910539541532641793750636942486719311<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:30:34 UTC 2016 年 3 月 17 日 (木) 23 時 30 分 34 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:41:55 UTC 2016 年 3 月 23 日 (水) 21 時 41 分 55 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 27, 2016 17:06:30 UTC 2016 年 3 月 28 日 (月) 2 時 6 分 30 秒 (日本時間)
300Dmitry DomanovApril 4, 2016 14:03:35 UTC 2016 年 4 月 4 日 (月) 23 時 3 分 35 秒 (日本時間)

22×10256-319

c187

composite cofactor 合成数の残り
6421724636303769032386259320615892895155333342929587311086150584833536964910224752497136392926429195489272902032738213158562055579462547785525356434050922995403581992969704239839959723469<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:30:18 UTC 2016 年 3 月 17 日 (木) 23 時 30 分 18 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:42:55 UTC 2016 年 3 月 23 日 (水) 21 時 42 分 55 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 25, 2016 18:59:31 UTC 2016 年 3 月 26 日 (土) 3 時 59 分 31 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:50:50 UTC 2016 年 4 月 2 日 (土) 0 時 50 分 50 秒 (日本時間)

22×10257-319

c212

name 名前Dmitry Domanov
date 日付March 18, 2016 06:16:29 UTC 2016 年 3 月 18 日 (金) 15 時 16 分 29 秒 (日本時間)
composite number 合成数
94967290011067546896653838002568579778333701371025995943288229530330371005421399556416131393969083032379738832497310511916232840537561466200160240710820246906338980442567385444749768805317459496554923354034063169<212>
prime factors 素因数
583087005840362740179529838605637<33>
composite cofactor 合成数の残り
162869844568389580252346484801472519633227591799571781278308500877315945783913250711490352861690639555486980428107551193696547274070483859443817884250099527330631332350468866085837<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1635013126
Step 1 took 32035ms
Step 2 took 11234ms
********** Factor found in step 2: 583087005840362740179529838605637
Found probable prime factor of 33 digits: 583087005840362740179529838605637

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:30:06 UTC 2016 年 3 月 17 日 (木) 23 時 30 分 6 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:43:10 UTC 2016 年 3 月 23 日 (水) 21 時 43 分 10 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 25, 2016 18:59:46 UTC 2016 年 3 月 26 日 (土) 3 時 59 分 46 秒 (日本時間)
300Dmitry DomanovApril 1, 2016 15:51:03 UTC 2016 年 4 月 2 日 (土) 0 時 51 分 3 秒 (日本時間)

22×10259-319

c244

composite cofactor 合成数の残り
1781297537266597339787560454138746515216455919279161575721463574459704424565968172147674750275890520422605905483245900626975096582815614482067863891582130454339601475464832906984872626671137686064999737360353072782774382377158222509883932836709<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 07:37:17 UTC 2016 年 3 月 17 日 (木) 16 時 37 分 17 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:44:30 UTC 2016 年 3 月 23 日 (水) 21 時 44 分 30 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 19:19:47 UTC 2016 年 3 月 29 日 (火) 4 時 19 分 47 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 12:09:54 UTC 2016 年 4 月 5 日 (火) 21 時 9 分 54 秒 (日本時間)

22×10260-319

c233

name 名前Dmitry Domanov
date 日付March 24, 2016 06:19:48 UTC 2016 年 3 月 24 日 (木) 15 時 19 分 48 秒 (日本時間)
composite number 合成数
13626100497625143379831640110248021165057350737218627172864887078957195433895415221486732058703107364362874329955565597584440289554614724028766930486700419882553468654941717489204950719842776099399135318061848995045165126665343551281<233>
prime factors 素因数
2343455285889921125927126082455477573<37>
composite cofactor 合成数の残り
5814534025747654371351362231512921465250931203602870988405418409741755103538719335472837199176094504835188468621021678579956354225122491484559966860315547209475859663752711437116955075653347807997<196>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=767931841
Step 1 took 98436ms
Step 2 took 29033ms
********** Factor found in step 2: 2343455285889921125927126082455477573
Found probable prime factor of 37 digits: 2343455285889921125927126082455477573

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:29:45 UTC 2016 年 3 月 17 日 (木) 23 時 29 分 45 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:44:46 UTC 2016 年 3 月 23 日 (水) 21 時 44 分 46 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 26, 2016 18:39:08 UTC 2016 年 3 月 27 日 (日) 3 時 39 分 8 秒 (日本時間)
300Dmitry DomanovApril 4, 2016 14:04:00 UTC 2016 年 4 月 4 日 (月) 23 時 4 分 0 秒 (日本時間)

22×10261-319

c210

name 名前Dmitry Domanov
date 日付March 24, 2016 06:15:37 UTC 2016 年 3 月 24 日 (木) 15 時 15 分 37 秒 (日本時間)
composite number 合成数
177071389874448514497007068167171202816171096119124143959337462695415208113926188569374760670859214576953548974272699233460790472933759077503627399561207255151139599328984285492625499164545157778508691661838757<210>
prime factors 素因数
358121720139436734453839891675263253927263<42>
composite cofactor 合成数の残り
494444709484542738258111995745947303038694958595924432107801237110707872463737817257019829710663293175291515228570619510533379939173058032328515754327464566418559388539<168>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4062819721
Step 1 took 95236ms
Step 2 took 33473ms
********** Factor found in step 2: 358121720139436734453839891675263253927263
Found probable prime factor of 42 digits: 358121720139436734453839891675263253927263

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:29:03 UTC 2016 年 3 月 17 日 (木) 23 時 29 分 3 秒 (日本時間)
4511e62000800Dmitry DomanovMarch 23, 2016 12:45:00 UTC 2016 年 3 月 23 日 (水) 21 時 45 分 0 秒 (日本時間)
1200Dmitry DomanovMarch 24, 2016 13:44:10 UTC 2016 年 3 月 24 日 (木) 22 時 44 分 10 秒 (日本時間)
5043e6664 / 7077Dmitry DomanovMarch 24, 2016 23:56:24 UTC 2016 年 3 月 25 日 (金) 8 時 56 分 24 秒 (日本時間)

22×10263-319

c221

composite cofactor 合成数の残り
15067818774540912350357506483879405289568149137145139121030520504185656115112448662384607233142087961882157039403674592726566687434754004066250140924618531590402099940057827524026399934489764826290485444803696655420998027<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:28:44 UTC 2016 年 3 月 17 日 (木) 23 時 28 分 44 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:45:11 UTC 2016 年 3 月 23 日 (水) 21 時 45 分 11 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 27, 2016 19:36:11 UTC 2016 年 3 月 28 日 (月) 4 時 36 分 11 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 09:40:40 UTC 2016 年 4 月 5 日 (火) 18 時 40 分 40 秒 (日本時間)

22×10264-319

c154

composite cofactor 合成数の残り
4126043933265295217892361794957097229581339585450496723664996060650565192886546105963229260768613587893060917024420499865468511827516665803317477263042653<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 14, 2016 14:08:25 UTC 2016 年 3 月 14 日 (月) 23 時 8 分 25 秒 (日本時間)
4511e62490800Dmitry DomanovMarch 16, 2016 13:48:05 UTC 2016 年 3 月 16 日 (水) 22 時 48 分 5 秒 (日本時間)
800Dmitry DomanovMarch 16, 2016 13:49:44 UTC 2016 年 3 月 16 日 (水) 22 時 49 分 44 秒 (日本時間)
890Ignacio SantosMay 8, 2016 19:04:17 UTC 2016 年 5 月 9 日 (月) 4 時 4 分 17 秒 (日本時間)
5043e67098480Dmitry DomanovMarch 26, 2016 10:19:44 UTC 2016 年 3 月 26 日 (土) 19 時 19 分 44 秒 (日本時間)
6618Ignacio SantosMarch 15, 2024 18:11:01 UTC 2024 年 3 月 16 日 (土) 3 時 11 分 1 秒 (日本時間)

22×10265-319

c248

composite cofactor 合成数の残り
52709392707196349339221317744806583207421585865368876731003608718179640428114831547253392965123934200273010331169583649878672470293376867659514017531681412082496634749945711795967281425968713666095316514288814197253961259591132111663969893833099097<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 07:37:32 UTC 2016 年 3 月 17 日 (木) 16 時 37 分 32 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:49:45 UTC 2016 年 3 月 23 日 (水) 21 時 49 分 45 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 19:22:50 UTC 2016 年 3 月 29 日 (火) 4 時 22 分 50 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 13:06:16 UTC 2016 年 4 月 5 日 (火) 22 時 6 分 16 秒 (日本時間)

22×10266-319

c231

name 名前Dmitry Domanov
date 日付March 24, 2016 06:19:08 UTC 2016 年 3 月 24 日 (木) 15 時 19 分 8 秒 (日本時間)
composite number 合成数
125348212208476677535550303909620129119475465759917606512974391026921561532931571412192948212735795736173699286514099492313985283999846064719484661846329567060276229061845105885691177514958727419936347765113917234786201271470631557<231>
prime factors 素因数
480919428108088796499091008965406604303<39>
260642853838510564701198167514875859870515308740910222196173006615426653806213704749931485635254862146461860308016948209225041794320830880287842702552910752141690862878990190863034429327256619<192>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2238811525
Step 1 took 76446ms
Step 2 took 25082ms
********** Factor found in step 2: 480919428108088796499091008965406604303
Found probable prime factor of 39 digits: 480919428108088796499091008965406604303

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:28:27 UTC 2016 年 3 月 17 日 (木) 23 時 28 分 27 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovMarch 23, 2016 12:50:01 UTC 2016 年 3 月 23 日 (水) 21 時 50 分 1 秒 (日本時間)

22×10268-319

c264

composite cofactor 合成数の残り
442569558858733808492105162573904087129876060406721424591176370004244644405417856072356099513776989199291084033900828208579009730495255453161053074148506227154861123684109942325139761455007775142477222755317372665697036996803440777152145355936567712136665479775577<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 17, 2016 07:28:18 UTC 2016 年 3 月 17 日 (木) 16 時 28 分 18 秒 (日本時間)
4511e6800 / 2069Dmitry DomanovMarch 23, 2016 12:50:36 UTC 2016 年 3 月 23 日 (水) 21 時 50 分 36 秒 (日本時間)
5043e6600 / 7323300Dmitry DomanovMarch 29, 2016 09:32:42 UTC 2016 年 3 月 29 日 (火) 18 時 32 分 42 秒 (日本時間)
300Dmitry DomanovApril 6, 2016 11:47:05 UTC 2016 年 4 月 6 日 (水) 20 時 47 分 5 秒 (日本時間)

22×10269-319

c242

composite cofactor 合成数の残り
89680477808688014068095562347064095070171138208894060321563717654120542184372350995592879653866197863764353350171501914747088312415330262046454476760109596398793340372514685815718856016824991557863847372874592439928420306008458485725714261363<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 07:37:43 UTC 2016 年 3 月 17 日 (木) 16 時 37 分 43 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:50:46 UTC 2016 年 3 月 23 日 (水) 21 時 50 分 46 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 19:20:14 UTC 2016 年 3 月 29 日 (火) 4 時 20 分 14 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 13:06:41 UTC 2016 年 4 月 5 日 (火) 22 時 6 分 41 秒 (日本時間)

22×10271-319

c226

composite cofactor 合成数の残り
7153498413436027646174620848574427336973733579424740196306435848263630652721356800423508425497683746227669455718324333493327017619663990304391312423978575918792141721853519221762524425500283379572368681264552389432674383335223<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:28:14 UTC 2016 年 3 月 17 日 (木) 23 時 28 分 14 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:50:58 UTC 2016 年 3 月 23 日 (水) 21 時 50 分 58 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 19:18:09 UTC 2016 年 3 月 29 日 (火) 4 時 18 分 9 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 10:09:57 UTC 2016 年 4 月 5 日 (火) 19 時 9 分 57 秒 (日本時間)

22×10272-319

c223

composite cofactor 合成数の残り
9031965769283332762255369270742854867030021882919345326140333612082762632137130618181334466801802890861367583352058097375365017336806378655689398746013326127601944353620810134570969664411888053660282147134933381709840553683<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:28:01 UTC 2016 年 3 月 17 日 (木) 23 時 28 分 1 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:51:09 UTC 2016 年 3 月 23 日 (水) 21 時 51 分 9 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 19:18:23 UTC 2016 年 3 月 29 日 (火) 4 時 18 分 23 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 10:10:16 UTC 2016 年 4 月 5 日 (火) 19 時 10 分 16 秒 (日本時間)

22×10273-319

c249

name 名前Dmitry Domanov
date 日付March 29, 2016 08:24:21 UTC 2016 年 3 月 29 日 (火) 17 時 24 分 21 秒 (日本時間)
composite number 合成数
135177110815692187729574851268953777087030109977840862527762494028340970038556845516786495456833105762256704891178034331820366426370733130081353706109867267090116652732732809782697252394832251380860906967018666380833218439986777493781858156660249367<249>
prime factors 素因数
5445650504544790382357002222328218294461008245139581<52>
24822950114568880758534642567571510103187658782637358370157043972869212180687606898228064741983501087304881393224331861070859921884459924308886340807542566130015454888032600214323855669081600758307<197>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=618932348
Step 1 took 485410ms
Step 2 took 129434ms
********** Factor found in step 2: 5445650504544790382357002222328218294461008245139581
Found probable prime factor of 52 digits: 5445650504544790382357002222328218294461008245139581

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 07:37:55 UTC 2016 年 3 月 17 日 (木) 16 時 37 分 55 秒 (日本時間)
4511e6800 / 3254Dmitry DomanovMarch 23, 2016 12:57:07 UTC 2016 年 3 月 23 日 (水) 21 時 57 分 7 秒 (日本時間)
5043e6300 / 7346Dmitry DomanovMarch 28, 2016 19:23:16 UTC 2016 年 3 月 29 日 (火) 4 時 23 分 16 秒 (日本時間)

22×10274-319

c216

composite cofactor 合成数の残り
129835062158963293172027472016306362774105288703599306624141998909422657397119454628542496038034759292075326493618416336637166189938449252861478863086670979091911801180554024281048713319222739636086782718982764075249<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:27:48 UTC 2016 年 3 月 17 日 (木) 23 時 27 分 48 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:57:22 UTC 2016 年 3 月 23 日 (水) 21 時 57 分 22 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 27, 2016 17:06:01 UTC 2016 年 3 月 28 日 (月) 2 時 6 分 1 秒 (日本時間)
300Dmitry DomanovApril 4, 2016 14:04:31 UTC 2016 年 4 月 4 日 (月) 23 時 4 分 31 秒 (日本時間)

22×10275-319

c245

composite cofactor 合成数の残り
46883842711537974394045402279168823730124085694349899090713192216226546665176197844319894165229310555221529298380404917216376578713186410618204974585683324798178837082572837812656806253642960175946209411290810231989132392254509788516309177209223<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 07:38:07 UTC 2016 年 3 月 17 日 (木) 16 時 38 分 7 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:47:38 UTC 2016 年 3 月 24 日 (木) 22 時 47 分 38 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 19:23:56 UTC 2016 年 3 月 29 日 (火) 4 時 23 分 56 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 13:06:55 UTC 2016 年 4 月 5 日 (火) 22 時 6 分 55 秒 (日本時間)

22×10276-319

c251

composite cofactor 合成数の残り
46397775054836818245613281920261152033722469379786606506417799246638404753749977117313406354661403561941562879770745895503299565863729087329029221114851902168837533047845187189745424700021564157629185267849359690375461438323572831763448880269653511359<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 07:38:19 UTC 2016 年 3 月 17 日 (木) 16 時 38 分 19 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:47:55 UTC 2016 年 3 月 24 日 (木) 22 時 47 分 55 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 13:44:28 UTC 2016 年 3 月 29 日 (火) 22 時 44 分 28 秒 (日本時間)
300Dmitry DomanovApril 6, 2016 11:36:52 UTC 2016 年 4 月 6 日 (水) 20 時 36 分 52 秒 (日本時間)

22×10278-319

c269

composite cofactor 合成数の残り
53164683978695615168067389961950745424978663810676662703887843541794193775860585036274567279849178467103487028348526463285128957626570165362788063055118061498248047361560176492093789211824874114763658512964644513182915458133081697112351999919238398535519506017346123557<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 17, 2016 08:51:55 UTC 2016 年 3 月 17 日 (木) 17 時 51 分 55 秒 (日本時間)
4511e6800 / 2069Dmitry DomanovMarch 24, 2016 13:48:06 UTC 2016 年 3 月 24 日 (木) 22 時 48 分 6 秒 (日本時間)
5043e6600 / 7323300Dmitry DomanovMarch 29, 2016 13:48:45 UTC 2016 年 3 月 29 日 (火) 22 時 48 分 45 秒 (日本時間)
300Dmitry DomanovApril 8, 2016 13:42:43 UTC 2016 年 4 月 8 日 (金) 22 時 42 分 43 秒 (日本時間)

22×10280-319

c248

composite cofactor 合成数の残り
52537238843183133326967082988834101443528233959568727143709625436449724677248884912098797891769683036837655063361906730336848493319419633407035512374331710856431505463127206691502645174854389702688064497882775675400547191385521945708446493107036757<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 10:22:26 UTC 2016 年 3 月 17 日 (木) 19 時 22 分 26 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:48:16 UTC 2016 年 3 月 24 日 (木) 22 時 48 分 16 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 21:06:19 UTC 2016 年 3 月 29 日 (火) 6 時 6 分 19 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 13:07:08 UTC 2016 年 4 月 5 日 (火) 22 時 7 分 8 秒 (日本時間)

22×10281-319

c253

composite cofactor 合成数の残り
5902380189522716848203054291885112475597624483880779156361303394142697796390846638893495566441491178984928857212799487824139834740669555094335062514386681901563186469417401567606213546572042649209072335200241068987735879615354963404418352019673630485159<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 10:22:47 UTC 2016 年 3 月 17 日 (木) 19 時 22 分 47 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:48:26 UTC 2016 年 3 月 24 日 (木) 22 時 48 分 26 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 13:48:33 UTC 2016 年 3 月 29 日 (火) 22 時 48 分 33 秒 (日本時間)
300Dmitry DomanovApril 6, 2016 11:47:26 UTC 2016 年 4 月 6 日 (水) 20 時 47 分 26 秒 (日本時間)

22×10283-319

c260

composite cofactor 合成数の残り
79199107188921708554234491859157762291375284666697087590701572793280938283610639603872961685137300711602180886121960299756357181152011253835989823703222850877458799830668787512798727232399732258972678511382484693537652698475872233453542866113708099200888869681<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 11:29:50 UTC 2016 年 3 月 17 日 (木) 20 時 29 分 50 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:48:41 UTC 2016 年 3 月 24 日 (木) 22 時 48 分 41 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 13:49:01 UTC 2016 年 3 月 29 日 (火) 22 時 49 分 1 秒 (日本時間)
300Dmitry DomanovApril 6, 2016 11:47:49 UTC 2016 年 4 月 6 日 (水) 20 時 47 分 49 秒 (日本時間)

22×10285-319

c246

composite cofactor 合成数の残り
512210197819057200640282347834500343317493499494862865046780680630543007185639930049001982108858807940409514182874690322514980303307836041657138981845790588623890500577215811638402581776159974682954683720621120934893437164595375114518153055754471<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 11:30:20 UTC 2016 年 3 月 17 日 (木) 20 時 30 分 20 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 13:06:40 UTC 2016 年 3 月 23 日 (水) 22 時 6 分 40 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 21:06:47 UTC 2016 年 3 月 29 日 (火) 6 時 6 分 47 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 13:07:23 UTC 2016 年 4 月 5 日 (火) 22 時 7 分 23 秒 (日本時間)

22×10286-319

c284

name 名前Dmitry Domanov
date 日付March 26, 2016 15:49:03 UTC 2016 年 3 月 27 日 (日) 0 時 49 分 3 秒 (日本時間)
composite number 合成数
15883329723485668904772218612374557793661107501263446682549996390152335571438885279041224460327774167930113349216663056819002238105551945707891126994440834596780015883329723485668904772218612374557793661107501263446682549996390152335571438885279041224460327774167930113349216663056819<284>
prime factors 素因数
51071794602040640802988762588518229578670017023<47>
311000031372522585118296660902268305882265177227368203415004465660188705525335958125507326219770718409264241156662401222401938467097762506994960452999701560934288538078907473653268185729249214941111782796319681242736296408177502691250253<237>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1095753599
Step 1 took 384576ms
Step 2 took 90094ms
********** Factor found in step 2: 51071794602040640802988762588518229578670017023
Found probable prime factor of 47 digits: 51071794602040640802988762588518229578670017023

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 16, 2016 19:35:54 UTC 2016 年 3 月 17 日 (木) 4 時 35 分 54 秒 (日本時間)
4511e61200 / 2490Dmitry DomanovMarch 24, 2016 13:49:03 UTC 2016 年 3 月 24 日 (木) 22 時 49 分 3 秒 (日本時間)
5043e6480 / 7233Dmitry DomanovMarch 26, 2016 10:22:00 UTC 2016 年 3 月 26 日 (土) 19 時 22 分 0 秒 (日本時間)

22×10287-319

c273

composite cofactor 合成数の残り
358937548646747109443029023071375274245503493651196497573587039095489079223307515379167215844798597615324406125380080159961993490534444899902843012780891252311731152492441781950620642975373625314172095561880565800101803981561798592006148833617831122846783557155323305581689<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 11:32:10 UTC 2016 年 3 月 17 日 (木) 20 時 32 分 10 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:49:16 UTC 2016 年 3 月 24 日 (木) 22 時 49 分 16 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 13:49:16 UTC 2016 年 3 月 29 日 (火) 22 時 49 分 16 秒 (日本時間)
300Dmitry DomanovApril 8, 2016 13:43:09 UTC 2016 年 4 月 8 日 (金) 22 時 43 分 9 秒 (日本時間)

22×10288-319

c270

name 名前Dmitry Domanov
date 日付April 9, 2016 16:37:38 UTC 2016 年 4 月 10 日 (日) 1 時 37 分 38 秒 (日本時間)
composite number 合成数
110444433872687401513399187035472998264196064596344243045683603583857324113635573875783194016971277139705453447521450248602282089664368080752247680537733396597369418058906760792782053977735849604526617507175188148899904417321940468319531778762677938707069288675899902153<270>
prime factors 素因数
16229925680618889645732098243658480918345767<44>
6804987037283578337167298255671359391837949947588731299909743808000607434293204241476472595730313156425042746616491888284449835515369681080027435459055554585271316471696442042943536551925214815415846200560216458486971642895759<226>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=84516335
Step 1 took 644148ms
Step 2 took 148491ms
********** Factor found in step 2: 16229925680618889645732098243658480918345767
Found probable prime factor of 44 digits: 16229925680618889645732098243658480918345767

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 11:32:32 UTC 2016 年 3 月 17 日 (木) 20 時 32 分 32 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:49:27 UTC 2016 年 3 月 24 日 (木) 22 時 49 分 27 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 13:49:27 UTC 2016 年 3 月 29 日 (火) 22 時 49 分 27 秒 (日本時間)
300Dmitry DomanovApril 8, 2016 13:43:29 UTC 2016 年 4 月 8 日 (金) 22 時 43 分 29 秒 (日本時間)

22×10289-319

c253

name 名前Dmitry Domanov
date 日付March 18, 2016 06:17:31 UTC 2016 年 3 月 18 日 (金) 15 時 17 分 31 秒 (日本時間)
composite number 合成数
5768275355734384425712957703529551504728782317769870760601644557922948566616182156371710715162871284741850263707658578676019210155920755716043356326074218938989877641261696741481260858518462368433082744201237565743183762324150758662274600275039762403329<253>
prime factors 素因数
1648446820076942221576920805523799951763<40>
composite cofactor 合成数の残り
3499218346312892758266187020043049792301338344398643618766599272452652265102127835477095511058887427301772861237065671155595862891832055974620508926821725581698032222949308518630841313465652850057818834979406589083<214>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4022885878
Step 1 took 40831ms
Step 2 took 12931ms
********** Factor found in step 2: 1648446820076942221576920805523799951763
Found probable prime factor of 40 digits: 1648446820076942221576920805523799951763

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 11:30:38 UTC 2016 年 3 月 17 日 (木) 20 時 30 分 38 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 23, 2016 12:58:06 UTC 2016 年 3 月 23 日 (水) 21 時 58 分 6 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 27, 2016 17:05:35 UTC 2016 年 3 月 28 日 (月) 2 時 5 分 35 秒 (日本時間)
300Dmitry DomanovApril 4, 2016 14:04:49 UTC 2016 年 4 月 4 日 (月) 23 時 4 分 49 秒 (日本時間)

22×10290-319

c249

composite cofactor 合成数の残り
551204304980919639193544814209628236838809582940809068638830015111734478216510577867477406443014993033081553482816690598359263327777817514965682795720729543381697925737136102409825725899324382132350144620428831757576170154710111059393039271050947163<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 11:31:00 UTC 2016 年 3 月 17 日 (木) 20 時 31 分 0 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:49:46 UTC 2016 年 3 月 24 日 (木) 22 時 49 分 46 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 08:27:48 UTC 2016 年 3 月 29 日 (火) 17 時 27 分 48 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 13:07:46 UTC 2016 年 4 月 5 日 (火) 22 時 7 分 46 秒 (日本時間)

22×10292-319

c288

name 名前Dmitry Domanov
date 日付March 25, 2016 06:13:34 UTC 2016 年 3 月 25 日 (金) 15 時 13 分 34 秒 (日本時間)
composite number 合成数
141665040738358192328322898415218946540121149367111430501384775773217451330009356332008765202429684235063514233151036183183200586750841458145385679853750163397745851629051378690615785735489475253371145020570407847212965699673977226700769305564409620601702942576075736706506739714313127391<288>
prime factors 素因数
22347598086411351740073067620269310104077<41>
composite cofactor 合成数の残り
6339161828066830711112460414804620616807732762935303192013057008816595242333558950823078613092257508815627897705164232098850161820396105623680272743941953398963622943785174488506768815854622677820067225541904042451562704707166450503714716447357083<247>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2975114167
Step 1 took 146401ms
Step 2 took 42715ms
********** Factor found in step 2: 22347598086411351740073067620269310104077
Found probable prime factor of 41 digits: 22347598086411351740073067620269310104077

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 16, 2016 19:33:14 UTC 2016 年 3 月 17 日 (木) 4 時 33 分 14 秒 (日本時間)
4511e61000 / 2069Dmitry DomanovMarch 24, 2016 11:42:09 UTC 2016 年 3 月 24 日 (木) 20 時 42 分 9 秒 (日本時間)
5043e6600 / 7278300Dmitry DomanovMarch 29, 2016 08:28:23 UTC 2016 年 3 月 29 日 (火) 17 時 28 分 23 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 13:08:01 UTC 2016 年 4 月 5 日 (火) 22 時 8 分 1 秒 (日本時間)

22×10293-319

c257

composite cofactor 合成数の残り
15741965152646000076236088296475216265912211947642400218579567313006116563381317583911091772324004777923551048270419033035804696547920838598902747524617212820450480956027071039129142784735355941402152534401647633810081956307208531164284530177739253751774559<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:26:31 UTC 2016 年 3 月 17 日 (木) 23 時 26 分 31 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:51:16 UTC 2016 年 3 月 24 日 (木) 22 時 51 分 16 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 13:49:50 UTC 2016 年 3 月 29 日 (火) 22 時 49 分 50 秒 (日本時間)
300Dmitry DomanovApril 6, 2016 11:48:09 UTC 2016 年 4 月 6 日 (水) 20 時 48 分 9 秒 (日本時間)

22×10294-319

c285

name 名前Dmitry Domanov
date 日付March 17, 2016 06:51:57 UTC 2016 年 3 月 17 日 (木) 15 時 51 分 57 秒 (日本時間)
composite number 合成数
355604589626728741439609169178345404352868584142641053468229925565578390041722430087159322257918895522951614810591581432310527864646446947642166224576220251767956028699947007783040826405007607447450319334577470720921556385419738489733176452168168566457540649010437701857598651277421131<285>
prime factors 素因数
1154208406266288108901639618745728233194684334329<49>
composite cofactor 合成数の残り
308093917611519279434826901476399393944022521331608763508127475824786018728794075118521224440655120004668727859174289429560577575745872515647469404721169041378313243658492324681359057979010035522613386059521527433152830091551129184688739<237>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2530031456
Step 1 took 50231ms
Step 2 took 15748ms
********** Factor found in step 2: 1154208406266288108901639618745728233194684334329
Found probable prime factor of 49 digits: 1154208406266288108901639618745728233194684334329

c237

name 名前Dmitry Domanov
date 日付March 17, 2016 13:23:59 UTC 2016 年 3 月 17 日 (木) 22 時 23 分 59 秒 (日本時間)
composite number 合成数
308093917611519279434826901476399393944022521331608763508127475824786018728794075118521224440655120004668727859174289429560577575745872515647469404721169041378313243658492324681359057979010035522613386059521527433152830091551129184688739<237>
prime factors 素因数
37566074251559840813193814959577783063<38>
composite cofactor 合成数の残り
8201387122550513009122065160083755016846631247192645645238278897861109549129046815865429652449433578990419194382132651912549424934297799182680868485651924606955681150073982003593322926794967710472853<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=329408390
Step 1 took 51866ms
Step 2 took 14877ms
********** Factor found in step 2: 37566074251559840813193814959577783063
Found probable prime factor of 38 digits: 37566074251559840813193814959577783063

c199

name 名前Dmitry Domanov
date 日付March 22, 2016 06:07:37 UTC 2016 年 3 月 22 日 (火) 15 時 7 分 37 秒 (日本時間)
composite number 合成数
8201387122550513009122065160083755016846631247192645645238278897861109549129046815865429652449433578990419194382132651912549424934297799182680868485651924606955681150073982003593322926794967710472853<199>
prime factors 素因数
634128110228007834820996012620942658061<39>
12933328439897756298032849365463914893632514972916166839263150656627367450269828361763757197305254961226841014991911787954781484059690776781567303472449056610473<161>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=100059954
Step 1 took 88483ms
Step 2 took 26186ms
********** Factor found in step 2: 634128110228007834820996012620942658061
Found probable prime factor of 39 digits: 634128110228007834820996012620942658061

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 16, 2016 19:35:26 UTC 2016 年 3 月 17 日 (木) 4 時 35 分 26 秒 (日本時間)
4511e61200 / 4173Dmitry DomanovMarch 21, 2016 23:31:09 UTC 2016 年 3 月 22 日 (火) 8 時 31 分 9 秒 (日本時間)

22×10295-319

c262

composite cofactor 合成数の残り
1968352467557218048027667199743905093910264616336988077523296759219309824037384050602058927116499003451872694385345366210110063638750765390554367532059176625890695193664376631559866947779616115927809049404499250100068710439546708201280491879641551552233053504033<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:26:46 UTC 2016 年 3 月 17 日 (木) 23 時 26 分 46 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:51:28 UTC 2016 年 3 月 24 日 (木) 22 時 51 分 28 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 13:50:05 UTC 2016 年 3 月 29 日 (火) 22 時 50 分 5 秒 (日本時間)
300Dmitry DomanovApril 8, 2016 13:43:51 UTC 2016 年 4 月 8 日 (金) 22 時 43 分 51 秒 (日本時間)

22×10297-319

c236

composite cofactor 合成数の残り
42482948121488279726512155523500683806708183846853009848013786128930262530997396430220267299217312775740156945429589964426361032012477411157051268104373981041117074760982689669760125011025003682023284062902488128432800635891343644577403<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:26:59 UTC 2016 年 3 月 17 日 (木) 23 時 26 分 59 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:51:41 UTC 2016 年 3 月 24 日 (木) 22 時 51 分 41 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 28, 2016 14:34:36 UTC 2016 年 3 月 28 日 (月) 23 時 34 分 36 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 10:11:52 UTC 2016 年 4 月 5 日 (火) 19 時 11 分 52 秒 (日本時間)

22×10298-319

c245

composite cofactor 合成数の残り
80840170062903716194345186384456073222174060356157433200069466476143684877943250874288875851434108384702557620378283374758389499018694675355706318130825194799480203179025703648234715184215748902732190633535678192712139497046973781776168911547503<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovMarch 17, 2016 14:27:10 UTC 2016 年 3 月 17 日 (木) 23 時 27 分 10 秒 (日本時間)
4511e6800 / 2201Dmitry DomanovMarch 24, 2016 13:51:54 UTC 2016 年 3 月 24 日 (木) 22 時 51 分 54 秒 (日本時間)
5043e6600 / 7346300Dmitry DomanovMarch 29, 2016 00:18:01 UTC 2016 年 3 月 29 日 (火) 9 時 18 分 1 秒 (日本時間)
300Dmitry DomanovApril 5, 2016 12:02:59 UTC 2016 年 4 月 5 日 (火) 21 時 2 分 59 秒 (日本時間)

22×10300-319

c262

composite cofactor 合成数の残り
5025887439239549606698779541087017102811049218780220168948139656851271641505051415741803131161237977378635196070153643704363417773566817394032983227834104361354617876342159031043385859324551224051502698094446081913142819850899942362744322851909637701096323247651<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMarch 14, 2016 06:00:00 UTC 2016 年 3 月 14 日 (月) 15 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMarch 14, 2016 14:13:22 UTC 2016 年 3 月 14 日 (月) 23 時 13 分 22 秒 (日本時間)
4511e61200Dmitry DomanovMarch 15, 2016 14:05:07 UTC 2016 年 3 月 15 日 (火) 23 時 5 分 7 秒 (日本時間)
5043e6600 / 6944Dmitry DomanovMarch 22, 2016 14:51:46 UTC 2016 年 3 月 22 日 (火) 23 時 51 分 46 秒 (日本時間)
5511e7120 / 17470Dmitry DomanovMarch 24, 2016 13:58:01 UTC 2016 年 3 月 24 日 (木) 22 時 58 分 1 秒 (日本時間)