Table of contents 目次

73×10101+539

c87

name 名前juno1369
date 日付December 28, 2009 04:54:05 UTC 2009 年 12 月 28 日 (月) 13 時 54 分 5 秒 (日本時間)
composite number 合成数
455972969300713486498174134006723296472775564706802714845631751594550802100468492053737<87>
prime factors 素因数
38522561947455443997902763106112987<35>
11836517257669882662882071389433418987260311357562251<53>
factorization results 素因数分解の結果
Msieve v. 1.43
Sun Dec 27 22:01:06 2009
random seeds: b179e320 d28d990a
factoring 4559729693007134864981741340067232964727755647068027148456317515945508
02100468492053737 (87 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
commencing quadratic sieve (87-digit input)
using multiplier of 17
using VC8 32kb sieve core
sieve interval: 20 blocks of size 32768
processing polynomials in batches of 11
using a sieve bound of 1481801 (56667 primes)
using large prime bound of 118544080 (26 bits)
using double large prime bound of 341180057030880 (41-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
57006 relations (16202 full + 40804 combined from 594615 partial), need 56763
57006 relations (16202 full + 40804 combined from 594615 partial), need 56763
sieving complete, commencing postprocessing
begin with 610817 relations
reduce to 136501 relations in 10 passes
attempting to read 136501 relations
recovered 136501 relations
recovered 115885 polynomials
attempting to build 57006 cycles
found 57006 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16202
   length 2 : 11086
   length 3 : 9767
   length 4 : 7505
   length 5 : 5216
   length 6 : 3210
   length 7 : 1813
   length 9+: 2207
largest cycle: 17 relations
matrix is 56667 x 57006 (14.3 MB) with weight 3303682 (57.95/col)
sparse part has weight 3303682 (57.95/col)
filtering completed in 3 passes
matrix is 52422 x 52485 (13.3 MB) with weight 3061564 (58.33/col)
sparse part has weight 3061564 (58.33/col)
saving the first 48 matrix rows for later
matrix is 52374 x 52485 (9.6 MB) with weight 2491691 (47.47/col)
sparse part has weight 1978627 (37.70/col)
matrix includes 64 packed rows
using block size 20994 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 8.5 MB
lanczos halted after 830 iterations (dim = 52373)
recovered 17 nontrivial dependencies
prp35 factor: 38522561947455443997902763106112987
prp53 factor: 11836517257669882662882071389433418987260311357562251
elapsed time 00:49:29
software ソフトウェア
Msieve v1.43

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10102+539

c93

name 名前juno1369
date 日付December 28, 2009 17:42:25 UTC 2009 年 12 月 29 日 (火) 2 時 42 分 25 秒 (日本時間)
composite number 合成数
218171968644569652602637646627864596686716319208686815794903087047820655457783670960333349897<93>
prime factors 素因数
598067731625433489234865144990900388471467<42>
364794750005354827030833798025213605939117294859291<51>
factorization results 素因数分解の結果
Msieve v. 1.43
Mon Dec 28 08:42:30 2009
random seeds: c5f0aa98 5bf53b49
factoring 2181719686445696526026376466278645966867163192086868157949030870478206
55457783670960333349897 (93 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
commencing quadratic sieve (93-digit input)
using multiplier of 73
using VC8 32kb sieve core
sieve interval: 36 blocks of size 32768
processing polynomials in batches of 6
using a sieve bound of 1889131 (70440 primes)
using large prime bound of 221028327 (27 bits)
using double large prime bound of 1047143580966873 (42-50 bits)
using trial factoring cutoff of 50 bits
polynomial 'A' values have 12 factors

sieving in progress (press Ctrl-C to pause)
70593 relations (18416 full + 52177 combined from 911767 partial), need 70536
70593 relations (18416 full + 52177 combined from 911767 partial), need 70536
sieving complete, commencing postprocessing
begin with 930183 relations
reduce to 176682 relations in 11 passes
attempting to read 176682 relations
recovered 176682 relations
recovered 158550 polynomials
attempting to build 70593 cycles
found 70593 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 18416
   length 2 : 13016
   length 3 : 12186
   length 4 : 9504
   length 5 : 6781
   length 6 : 4515
   length 7 : 2735
   length 9+: 3440
largest cycle: 20 relations
matrix is 70440 x 70593 (18.9 MB) with weight 4394783 (62.26/col)
sparse part has weight 4394783 (62.26/col)
filtering completed in 3 passes
matrix is 66536 x 66600 (18.0 MB) with weight 4181972 (62.79/col)
sparse part has weight 4181972 (62.79/col)
saving the first 48 matrix rows for later
matrix is 66488 x 66600 (11.4 MB) with weight 3241683 (48.67/col)
sparse part has weight 2330242 (34.99/col)
matrix includes 64 packed rows
using block size 26640 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 10.7 MB
linear algebra at 36.2%, ETA 0h 0m66600 dimensions (36.2%, ETA 0h 0m)
linear algebra completed 64262 of 66600 dimensions (96.5%, ETA 0h 0m)
lanczos halted after 1053 iterations (dim = 66487)
recovered 17 nontrivial dependencies
prp42 factor: 598067731625433489234865144990900388471467
prp51 factor: 364794750005354827030833798025213605939117294859291
elapsed time 02:37:05

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10110+539

c102

name 名前juno1369
date 日付December 30, 2009 05:17:52 UTC 2009 年 12 月 30 日 (水) 14 時 17 分 52 秒 (日本時間)
composite number 合成数
231043290539539052774409972879495749724952829427175429082983067329295266500385677668944079339724633683<102>
prime factors 素因数
12460578526577563698511278863556250895773871<44>
18541939288512124877673221403825333737766481760055168374173<59>
factorization results 素因数分解の結果
Number: 81117_110
N=231043290539539052774409972879495749724952829427175429082983067329295266500385677668944079339724633683
  ( 102 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=12460578526577563698511278863556250895773871 (pp44)
 r2=18541939288512124877673221403825333737766481760055168374173 (pp59)
Version: Msieve v. 1.43
Total time: 1.61 hours.
Scaled time: 3.45 units (timescale=2.151).
Factorization parameters were as follows:
n: 231043290539539052774409972879495749724952829427175429082983067329295266500385677668944079339724633683 
m: 10000000000000000000000 
deg: 5 
c5: 73 
c0: 53 
skew: 0.94 
type: snfs l
ss: 1 
rlim: 510000 
alim: 510000 
lpbr: 25 
lpba: 25 
mfbr: 44 
mfba: 44 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000 
Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 455001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 49340 x 49565
Total sieving time: 1.58 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs l,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,
total time: 1.61 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10114+539

c101

name 名前juno1369
date 日付December 29, 2009 23:13:57 UTC 2009 年 12 月 30 日 (水) 8 時 13 分 57 秒 (日本時間)
composite number 合成数
10284016954960706677157839719475641307810821875359988637191232587273105010737163768046765875513228827<101>
prime factors 素因数
4367574102413326936556721115646557<34>
2354629071840639615590099160972319066050594197607217430722515473111<67>
factorization results 素因数分解の結果
Number: 81117_114
N=10284016954960706677157839719475641307810821875359988637191232587273105010737163768046765875513228827
  ( 101 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=4367574102413326936556721115646557 (pp34)
 r2=2354629071840639615590099160972319066050594197607217430722515473111 (pp67)
Version: Msieve v. 1.43
Total time: 2.04 hours.
Scaled time: 4.45 units (timescale=2.181).
Factorization parameters were as follows:
n: 10284016954960706677157839719475641307810821875359988637191232587273105010737163768046765875513228827
m: 10000000000000000000000 
deg: 5 
c5: 730000 
c0: 53 
skew: 0.15 
type: snfs 
lss: 1 
rlim: 600000 
alim: 600000 
lpbr: 25 
lpba: 25 
mfbr: 45 
mfba: 45 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000 
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76999 x 77247
Total sieving time: 2.01 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs ,115.000,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,
total time: 2.04 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10115+539

c94

name 名前juno1369
date 日付December 28, 2009 20:43:56 UTC 2009 年 12 月 29 日 (火) 5 時 43 分 56 秒 (日本時間)
composite number 合成数
1770108675944850982577450292042511679969152437054090665093910133461160172738848056547306466321<94>
prime factors 素因数
340852541580186998234413939<27>
5193180217282978509530012403309619225396650183603760655542062719339<67>
factorization results 素因数分解の結果
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=2866700313
Step 1 took 890ms
Step 2 took 936ms
********** Factor found in step 2: 340852541580186998234413939
Found probable prime factor of 27 digits: 340852541580186998234413939
Probable prime cofactor 51931802172829785095300124033096192253966501836037606555
42062719339 has 67 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10116+539

c94

name 名前juno1369
date 日付December 29, 2009 02:11:09 UTC 2009 年 12 月 29 日 (火) 11 時 11 分 9 秒 (日本時間)
composite number 合成数
6653495885263624340462076876765114672559336890200666094105705120828309399506300661410450234747<94>
prime factors 素因数
112104638388651784000199383548597161<36>
59350763544652311415152679228980494654029220277455271927427<59>
factorization results 素因数分解の結果
Msieve v. 1.43
Mon Dec 28 15:50:14 2009
random seeds: f0b97ab0 cb6d89d3
factoring 6653495885263624340462076876765114672559336890200666094105705120828309
399506300661410450234747 (94 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
commencing quadratic sieve (94-digit input)
using multiplier of 3
using VC8 32kb sieve core
sieve interval: 36 blocks of size 32768
processing polynomials in batches of 6
using a sieve bound of 2057597 (76471 primes)
using large prime bound of 283948386 (28 bits)
using double large prime bound of 1643731490863854 (42-51 bits)
using trial factoring cutoff of 51 bits
polynomial 'A' values have 12 factors

sieving in progress (press Ctrl-C to pause)
76770 relations (18769 full + 58001 combined from 1109509 partial), need 76567
76770 relations (18769 full + 58001 combined from 1109509 partial), need 76567
sieving complete, commencing postprocessing
begin with 1128278 relations
reduce to 201107 relations in 10 passes
attempting to read 201107 relations
recovered 201107 relations
recovered 186654 polynomials
attempting to build 76770 cycles
found 76770 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 18769
   length 2 : 13260
   length 3 : 12826
   length 4 : 10319
   length 5 : 7912
   length 6 : 5373
   length 7 : 3378
   length 9+: 4933
largest cycle: 21 relations
matrix is 76471 x 76770 (21.3 MB) with weight 4976183 (64.82/col)
sparse part has weight 4976183 (64.82/col)
filtering completed in 3 passes
matrix is 72942 x 73006 (20.3 MB) with weight 4747832 (65.03/col)
sparse part has weight 4747832 (65.03/col)
saving the first 48 matrix rows for later
matrix is 72894 x 73006 (13.2 MB) with weight 3743347 (51.27/col)
sparse part has weight 2722628 (37.29/col)
matrix includes 64 packed rows
using block size 29202 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 12.3 MB
linear algebra at 33.0%, ETA 0h 0m73006 dimensions (33.0%, ETA 0h 0m)
linear algebra completed 72273 of 73006 dimensions (99.0%, ETA 0h 0m)
lanczos halted after 1154 iterations (dim = 72892)
recovered 16 nontrivial dependencies
prp36 factor: 112104638388651784000199383548597161
prp59 factor: 59350763544652311415152679228980494654029220277455271927427
elapsed time 04:17:26

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10117+539

c93

name 名前juno1369
date 日付December 28, 2009 10:59:40 UTC 2009 年 12 月 28 日 (月) 19 時 59 分 40 秒 (日本時間)
composite number 合成数
568489146114937937906203442961091256198932052131071352446245441044577729405132617466931361001<93>
prime factors 素因数
55057257348622991229962119895720041<35>
10325417092886776856446656385902665296693188953177972498561<59>
factorization results 素因数分解の結果
Msieve v. 1.43
Mon Dec 28 00:44:32 2009
random seeds: f60597c0 f8732982
factoring 5684891461149379379062034429610912561989320521310713524462454410445777
29405132617466931361001 (93 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
commencing quadratic sieve (93-digit input)
using multiplier of 1
using VC8 32kb sieve core
sieve interval: 36 blocks of size 32768
processing polynomials in batches of 6
using a sieve bound of 1953383 (72941 primes)
using large prime bound of 244172875 (27 bits)
using double large prime bound of 1252723807557125 (42-51 bits)
using trial factoring cutoff of 51 bits
polynomial 'A' values have 12 factors

sieving in progress (press Ctrl-C to pause)
73276 relations (18556 full + 54720 combined from 992133 partial), need 73037
73276 relations (18556 full + 54720 combined from 992133 partial), need 73037
sieving complete, commencing postprocessing
begin with 1010689 relations
reduce to 186926 relations in 10 passes
attempting to read 186926 relations
recovered 186926 relations
recovered 167198 polynomials
attempting to build 73276 cycles
found 73276 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 18556
   length 2 : 13242
   length 3 : 12445
   length 4 : 9966
   length 5 : 7233
   length 6 : 4809
   length 7 : 2984
   length 9+: 4041
largest cycle: 18 relations
matrix is 72941 x 73276 (18.8 MB) with weight 4330337 (59.10/col)
sparse part has weight 4330337 (59.10/col)
filtering completed in 3 passes
matrix is 69073 x 69135 (17.7 MB) with weight 4099262 (59.29/col)
sparse part has weight 4099262 (59.29/col)
saving the first 48 matrix rows for later
matrix is 69025 x 69135 (10.3 MB) with weight 3058338 (44.24/col)
sparse part has weight 2013862 (29.13/col)
matrix includes 64 packed rows
using block size 27654 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 10.4 MB
linear algebra at 34.8%, ETA 0h 0m69135 dimensions (34.8%, ETA 0h 0m)
linear algebra completed 64204 of 69135 dimensions (92.9%, ETA 0h 0m)
lanczos halted after 1094 iterations (dim = 69023)
recovered 15 nontrivial dependencies
prp35 factor: 55057257348622991229962119895720041
prp59 factor: 10325417092886776856446656385902665296693188953177972498561
elapsed time 02:40:04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10120+539

c102

name 名前juno1369
date 日付December 30, 2009 06:50:51 UTC 2009 年 12 月 30 日 (水) 15 時 50 分 51 秒 (日本時間)
composite number 合成数
868040544389262384601738789989665618007177113176271500346547186006961670042425494774965737729546074601<102>
prime factors 素因数
4928798917649505399689975306668513<34>
176116039402804889481273305561348806375555227861413919486835737280777<69>
factorization results 素因数分解の結果
Number: 81117_120
N=868040544389262384601738789989665618007177113176271500346547186006961670042425494774965737729546074601
  ( 102 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=4928798917649505399689975306668513 (pp34)
 r2=176116039402804889481273305561348806375555227861413919486835737280777 (pp69)
Version: Msieve v. 1.43
Total time: 2.27 hours.
Scaled time: 4.88 units (timescale=2.151).
Factorization parameters were as follows:
n: 868040544389262384601738789989665618007177113176271500346547186006961670042425494774965737729546074601 
m: 1000000000000000000000000 
deg: 5 
c5: 73 
c0: 53 
skew: 0.94 
type: snfs 
lss: 1 
rlim: 750000 
alim: 750000 
lpbr: 25 
lpba: 25 
mfbr: 46 
mfba: 46 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000 
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82501 x 82726
Total sieving time: 2.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs ,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,
total time: 2.27 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10123+539

c109

name 名前juno1369
date 日付January 3, 2010 14:56:03 UTC 2010 年 1 月 3 日 (日) 23 時 56 分 3 秒 (日本時間)
composite number 合成数
5839341920413508092911806249543439182894583733135038833535815821814576841450912300552423142574643046542466387<109>
prime factors 素因数
1526008893358585225920732351717574027017596455084078703<55>
3826545143889515680557900251242310375250503214483528029<55>
factorization results 素因数分解の結果
Number: 81117_147
N=5839341920413508092911806249543439182894583733135038833535815821814576841450912300552423142574643046542466387
  ( 109 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=1526008893358585225920732351717574027017596455084078703 (pp55)
 r2=3826545143889515680557900251242310375250503214483528029 (pp55)
Version: Msieve v. 1.43
Total time: 3.39 hours.
Scaled time: 7.30 units (timescale=2.151).
Factorization parameters were as follows:
n: 5839341920413508092911806249543439182894583733135038833535815821814576841450912300552423142574643046542466387 
m: 1000000000000000000000000 
deg: 5 
c5: 73000 
c0: 53 
skew: 0.24 
type: snfs 
lss: 1 
rlim: 840000 
alim: 840000 
lpbr: 25 
lpba: 25 
mfbr: 46 
mfba: 46 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000
 
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 920001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117633 x 117863
Total sieving time: 3.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs ,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,
total time: 3.39 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10124+539

c119

name 名前Erik Branger
date 日付January 17, 2010 19:09:41 UTC 2010 年 1 月 18 日 (月) 4 時 9 分 41 秒 (日本時間)
composite number 合成数
59863735377360076514054323961706562566090998946152242007596790024503948997409540360499414442462380767635138897396919773<119>
prime factors 素因数
22689642679855193929950368309374331716894969383124955851<56>
2638372768669009683409049140907966882808615447780456466294015223<64>
factorization results 素因数分解の結果
Number: 81117_124
N=59863735377360076514054323961706562566090998946152242007596790024503948997409540360499414442462380767635138897396919773
  ( 119 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=22689642679855193929950368309374331716894969383124955851 (pp56)
 r2=2638372768669009683409049140907966882808615447780456466294015223 (pp64)
Version: Msieve v. 1.43
Total time: 3.08 hours.
Scaled time: 2.53 units (timescale=0.822).
Factorization parameters were as follows:
n: 59863735377360076514054323961706562566090998946152242007596790024503948997409540360499414442462380767635138897396919773
m: 1000000000000000000000000
deg: 5
c5: 730000
c0: 53
skew: 0.15
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151458 x 151706
Total sieving time: 2.95 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 3.08 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10128+539

c99

name 名前juno1369
date 日付December 29, 2009 05:16:59 UTC 2009 年 12 月 29 日 (火) 14 時 16 分 59 秒 (日本時間)
composite number 合成数
875728315914499749516846847462837579458389799621929465693905975222201038613933455935996966113171657<99>
prime factors 素因数
7425902027878376094326259710821<31>
117928880912626379267008270559953435624686342191265121954275887053717<69>
factorization results 素因数分解の結果
Number: 81117_128
N=875728315914499749516846847462837579458389799621929465693905975222201038613933455935996966113171657
  ( 99 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=7425902027878376094326259710821 (pp31)
 r2=117928880912626379267008270559953435624686342191265121954275887053717 (pp69)
Version: Msieve v. 1.43
Total time: 5.52 hours.
Scaled time: 11.70 units (timescale=2.118).
Factorization parameters were as follows:
n: 875728315914499749516846847462837579458389799621929465693905975222201038613933455935996966113171657 
m: 10000000000000000000000000 
deg: 5 
c5: 73000 
c0: 53 
skew: 0.24 
type: snfs 
lss: 1 
rlim: 1020000 
alim: 1020000 
lpbr: 26 
lpba: 26 
mfbr: 47 
mfba: 47 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1110001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156026 x 156252
Total sieving time: 5.39 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs ,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,
total time: 5.52 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10130+539

c99

name 名前juno1369
date 日付December 30, 2009 20:36:33 UTC 2009 年 12 月 31 日 (木) 5 時 36 分 33 秒 (日本時間)
composite number 合成数
657246968180678468165103643441821516774820018426135358567870546124286212076654670509091468925960257<99>
prime factors 素因数
12098578459878403788252736605458503<35>
54324313419155534317429552139816910647691666236365831565862532919<65>
factorization results 素因数分解の結果
Number: 81117_130
N=657246968180678468165103643441821516774820018426135358567870546124286212076654670509091468925960257
  ( 99 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=12098578459878403788252736605458503 (pp35)
 r2=54324313419155534317429552139816910647691666236365831565862532919 (pp65)
Version: Msieve v. 1.43
Total time: 4.84 hours.
Scaled time: 9.98 units (timescale=2.061).
Factorization parameters were as follows:
n: 657246968180678468165103643441821516774820018426135358567870546124286212076654670509091468925960257 
m: 100000000000000000000000000 
deg: 5 
c5: 73 
c0: 53 
skew: 0.94 
type: snfs 
lss: 1 
rlim: 1100000 
alim: 1100000 
lpbr: 26 
lpba: 26 
mfbr: 47 
mfba: 47 
rlambda: 2.3 
alambda: 2.3
qintsize: 100000
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145328 x 145559
Total sieving time: 4.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs ,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,
total time: 4.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10132+539

c111

name 名前juno1369
date 日付January 16, 2010 19:56:06 UTC 2010 年 1 月 17 日 (日) 4 時 56 分 6 秒 (日本時間)
composite number 合成数
613517391234715957137937562109029107847501432829310095152839262447077906555460396734761926966985433341940893091<111>
prime factors 素因数
144037713956554289472387353971510618069<39>
4259421885991397832179548105297689347884949786481183807202527744210463639<73>
factorization results 素因数分解の結果
Number: 81117_132
N=613517391234715957137937562109029107847501432829310095152839262447077906555460396734761926966985433341940893091
  ( 111 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=144037713956554289472387353971510618069 (pp39)
 r2=4259421885991397832179548105297689347884949786481183807202527744210463639 (pp73)
Version: Msieve v. 1.43
Total time: 5.99 hours.
Scaled time: 12.67 units (timescale=2.116).
Factorization parameters were as follows:
n: 613517391234715957137937562109029107847501432829310095152839262447077906555460396734761926966985433341940893091 
m: 100000000000000000000000000 
deg: 5 
c5: 7300 
c0: 53 
skew: 0.37 
type: snfs 
lss: 1 
rlim: 1190000 
alim: 1190000 
lpbr: 26 
lpba: 26 
mfbr: 47 
mfba: 47 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000 
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215606 x 215833
Total sieving time: 5.82 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs ,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,
total time: 5.99 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10134+539

c133

name 名前Dmitry Domanov
date 日付December 28, 2009 05:41:24 UTC 2009 年 12 月 28 日 (月) 14 時 41 分 24 秒 (日本時間)
composite number 合成数
4202648244099021301093839953943580886586067933218192285549798503166378814047207829591249280368451352907311456534254461715601611974669<133>
prime factors 素因数
11207069886113763490122332244943588751260774535448653785897<59>
374999735596041595200728140830981771273259795543228584103186291650760119877<75>
factorization results 素因数分解の結果
N=4202648244099021301093839953943580886586067933218192285549798503166378814047207829591249280368451352907311456534254461715601611974669
  ( 133 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=11207069886113763490122332244943588751260774535448653785897 (pp59)
 r2=374999735596041595200728140830981771273259795543228584103186291650760119877 (pp75)
Version: Msieve-1.40
Total time: 7.15 hours.
Scaled time: 6.67 units (timescale=0.932).
Factorization parameters were as follows:
n: 4202648244099021301093839953943580886586067933218192285549798503166378814047207829591249280368451352907311456534254461715601611974669
m: 100000000000000000000000000
deg: 5
c5: 730000
c0: 53
skew: 0.15
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215959 x 216185
Total sieving time: 6.91 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 7.15 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10135+539

c136

name 名前Robert Backstrom
date 日付December 28, 2009 05:16:44 UTC 2009 年 12 月 28 日 (月) 14 時 16 分 44 秒 (日本時間)
composite number 合成数
8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<136>
prime factors 素因数
13211588753733908805466621755851252552475926032614891662130817<62>
613939115295177382999456500545990952152261251933687481845615901208005485901<75>
factorization results 素因数分解の結果
Number: n
N=8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 136 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=13211588753733908805466621755851252552475926032614891662130817 (pp62)
 r2=613939115295177382999456500545990952152261251933687481845615901208005485901 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.96 hours.
Scaled time: 7.22 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_8_1_134_7
n: 8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 1000000000000000000000000000
deg: 5
c5: 73
c0: 53
skew: 0.94
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
qintsize: 50000
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [670000, 1370001)
Primes: RFBsize:102852, AFBsize:102349, largePrimes:3245423 encountered
Relations: rels:3184048, finalFF:282603
Max relations in full relation-set: 48
Initial matrix: 205266 x 282603 with sparse part having weight 29754931.
Pruned matrix : 185371 x 186461 with weight 13767906.
Total sieving time: 3.63 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.24 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,49,49,2.3,2.3,75000
total time: 3.96 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10136+539

c110

name 名前juno1369
date 日付January 3, 2010 19:18:06 UTC 2010 年 1 月 4 日 (月) 4 時 18 分 6 秒 (日本時間)
composite number 合成数
14112955031114222234472439355743889203045622526858405179544876057152509570992467347455620475224297258162406961<110>
prime factors 素因数
1016814619635084444969726624056432822055534417281<49>
13879575252546127967101570987951708454334345831164746868271281<62>
factorization results 素因数分解の結果
Number: 81117_136
N=14112955031114222234472439355743889203045622526858405179544876057152509570992467347455620475224297258162406961
  ( 110 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1016814619635084444969726624056432822055534417281 (pp49)
 r2=13879575252546127967101570987951708454334345831164746868271281 (pp62)
Version: Msieve v. 1.43
Total time: 7.25 hours.
Scaled time: 15.55 units (timescale=2.144).
Factorization parameters were as follows:
n: 14112955031114222234472439355743889203045622526858405179544876057152509570992467347455620475224297258162406961 
m: 1000000000000000000000000000 
deg: 5 
c5: 730
c0: 53 
skew: 0.59
type: snfs 
lss: 1 
rlim: 1390000 
alim: 1390000 
lpbr: 26 
lpba: 26 
mfbr: 48 
mfba: 48 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000
 
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1495001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 238676 x 238901
Total sieving time: 7.05 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs ,137.000,5,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,
total time: 7.25 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10139+539

c109

name 名前juno1369
date 日付January 3, 2010 07:52:16 UTC 2010 年 1 月 3 日 (日) 16 時 52 分 16 秒 (日本時間)
composite number 合成数
3683894652391981237529488806896563956068759024212900103355335147294668389737294087668904590047941863518802321<109>
prime factors 素因数
4897133031784022852847743355915750444918480439<46>
752255376458486865885684529070279241924326272598795765285726839<63>
factorization results 素因数分解の結果
Number: 81117_139
N=3683894652391981237529488806896563956068759024212900103355335147294668389737294087668904590047941863518802321
  ( 109 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=4897133031784022852847743355915750444918480439 (pp46)
 r2=752255376458486865885684529070279241924326272598795765285726839 (pp63)
Version: Msieve v. 1.43
Total time: 16.82 hours.
Scaled time: 36.05 units (timescale=2.144).
Factorization parameters were as follows:
n: 3683894652391981237529488806896563956068759024212900103355335147294668389737294087668904590047941863518802321 
m: 1000000000000000000000000000 
deg: 5 
c5: 730000 
c0: 53 
skew: 0.15 
type: snfs 
lss: 1 
rlim: 1560000 
alim: 1560000 
lpbr: 26 
lpba: 26 
mfbr: 48 
mfba: 48 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000
 
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1480001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 232743 x 232973
Total sieving time: 16.62 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs ,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,
total time: 16.82 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10142+539

c111

name 名前juno1369
date 日付January 16, 2010 06:10:22 UTC 2010 年 1 月 16 日 (土) 15 時 10 分 22 秒 (日本時間)
composite number 合成数
937234594106364984186172268835186954492739398848098622802822175935203443452321805117361583156039253828301060647<111>
prime factors 素因数
25892790994585220860757993393055600042426463811514203273<56>
36196738864588306864977801297128252842044488227320821039<56>
factorization results 素因数分解の結果
Number: 81117_142
N=937234594106364984186172268835186954492739398848098622802822175935203443452321805117361583156039253828301060647
  ( 111 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=25892790994585220860757993393055600042426463811514203273 (pp56)
 r2=36196738864588306864977801297128252842044488227320821039 (pp56)
Version: Msieve v. 1.43
Total time: 15.08 hours.
Scaled time: 32.34 units (timescale=2.144).
Factorization parameters were as follows:
n: 937234594106364984186172268835186954492739398848098622802822175935203443452321805117361583156039253828301060647 
m: 10000000000000000000000000000 
deg: 5 
c5: 7300 
c0: 53 
skew: 0.37 
type: snfs 
lss: 1 
rlim: 1750000 
alim: 1750000 
lpbr: 26 
lpba: 26 
mfbr: 48 
mfba: 48 
rlambda: 2.3 
alambda: 2.3
qintsize: 100000 
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 1475001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 297039 x 297264
Total sieving time: 14.79 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs ,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,
total time: 15.08 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10143+539

c142

name 名前Dmitry Domanov
date 日付December 28, 2009 22:00:31 UTC 2009 年 12 月 29 日 (火) 7 時 0 分 31 秒 (日本時間)
composite number 合成数
1071480992220754440041097901071480992220754440041097901071480992220754440041097901071480992220754440041097901071480992220754440041097901071481<142>
prime factors 素因数
3634877307129738186019022041540048291079066655062659111654408962991<67>
294777760481506813103960828075281842473043461985574147443471434987112162391<75>
factorization results 素因数分解の結果
N=1071480992220754440041097901071480992220754440041097901071480992220754440041097901071480992220754440041097901071480992220754440041097901071481
  ( 142 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=3634877307129738186019022041540048291079066655062659111654408962991 (pp67)
 r2=294777760481506813103960828075281842473043461985574147443471434987112162391 (pp75)
Version: Msieve-1.40
Total time: 13.30 hours.
Scaled time: 12.36 units (timescale=0.929).
Factorization parameters were as follows:
n: 1071480992220754440041097901071480992220754440041097901071480992220754440041097901071480992220754440041097901071480992220754440041097901071481
m: 10000000000000000000000000000
deg: 5
c5: 73000
c0: 53
skew: 0.24
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 346065 x 346290
Total sieving time: 12.95 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 13.30 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10146+539

c116

name 名前Sinkiti Sibata
date 日付January 18, 2010 23:00:50 UTC 2010 年 1 月 19 日 (火) 8 時 0 分 50 秒 (日本時間)
composite number 合成数
71467967019376809911711912193995633564794683062572143445606847846451838905023123887356298370750866283015433856119169<116>
prime factors 素因数
1489304615474189828274945366705643096212760968899<49>
47987474339909728739490792928098002913092390501317080666389331546731<68>
factorization results 素因数分解の結果
Number: 81117_146
N=71467967019376809911711912193995633564794683062572143445606847846451838905023123887356298370750866283015433856119169
  ( 116 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=1489304615474189828274945366705643096212760968899 (pp49)
 r2=47987474339909728739490792928098002913092390501317080666389331546731 (pp68)
Version: Msieve-1.40
Total time: 14.93 hours.
Scaled time: 30.62 units (timescale=2.051).
Factorization parameters were as follows:
name: 81117_146
n: 71467967019376809911711912193995633564794683062572143445606847846451838905023123887356298370750866283015433856119169
m: 100000000000000000000000000000
deg: 5
c5: 730
c0: 53
skew: 0.59
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 374415 x 374663
Total sieving time: 13.75 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 14.93 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10147+539

c108

name 名前juno1369
date 日付January 2, 2010 17:55:25 UTC 2010 年 1 月 3 日 (日) 2 時 55 分 25 秒 (日本時間)
composite number 合成数
595578849280549210700644798709469134196879730470934858545758869040585350391855930612926927385120890578203153<108>
prime factors 素因数
1708120723570426969324310756809683355264139184123883<52>
348674915690754508376606199270902128728059796219884200691<57>
factorization results 素因数分解の結果
Number: 81117_147
N=595578849280549210700644798709469134196879730470934858545758869040585350391855930612926927385120890578203153
  ( 108 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=1708120723570426969324310756809683355264139184123883 (pp52)
 r2=348674915690754508376606199270902128728059796219884200691 (pp57)
Version: Msieve v. 1.43
Total time: 23.04 hours.
Scaled time: 49.72 units (timescale=2.158).
Factorization parameters were as follows:
n: 595578849280549210700644798709469134196879730470934858545758869040585350391855930612926927385120890578203153 
m: 100000000000000000000000000000 
deg: 5 
c5: 7300 
c0: 53 
skew: 0.37 
type: snfs 
lss: 1 
rlim: 2100000 
alim: 2100000 
lpbr: 26 
lpba: 26 
mfbr: 49 
mfba: 49 
rlambda: 2.3 
alambda: 2.3   
qintsize: 100000 
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 348499 x 348725
Total sieving time: 22.63 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs ,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,
total time: 23.04 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
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10150+539

c144

name 名前Dmitry Domanov
date 日付December 28, 2009 05:43:19 UTC 2009 年 12 月 28 日 (月) 14 時 43 分 19 秒 (日本時間)
composite number 合成数
216913446866603991754757371716577811935999966815214046489953699765337981770671182174690008324514093153384671516512597056770376343314890846939831<144>
prime factors 素因数
67427671717901952324044891039484660300650380692362737<53>
3216979636700310025255182693910930838935247585191381929974026726672301117544807085238420263<91>
factorization results 素因数分解の結果
N=216913446866603991754757371716577811935999966815214046489953699765337981770671182174690008324514093153384671516512597056770376343314890846939831
  ( 144 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=67427671717901952324044891039484660300650380692362737 (pp53)
 r2=3216979636700310025255182693910930838935247585191381929974026726672301117544807085238420263 (pp91)
Version: Msieve-1.40
Total time: 13.31 hours.
Scaled time: 25.50 units (timescale=1.916).
Factorization parameters were as follows:
n: 216913446866603991754757371716577811935999966815214046489953699765337981770671182174690008324514093153384671516512597056770376343314890846939831
m: 1000000000000000000000000000000
deg: 5
c5: 73
c0: 53
skew: 0.94
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 387988 x 388218
Total sieving time: 12.90 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 13.31 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 27, 2009 14:00:00 UTC 2009 年 12 月 27 日 (日) 23 時 0 分 0 秒 (日本時間)

73×10155+539

c145

name 名前Sinkiti Sibata
date 日付March 6, 2010 05:47:34 UTC 2010 年 3 月 6 日 (土) 14 時 47 分 34 秒 (日本時間)
composite number 合成数
7150866213541255139168013561124712939430274236689857766454972162421310162398484250676827743230915873330545428237694875296498686537529302373142741<145>
prime factors 素因数
599475221085078562682979979960330682641<39>
1963100900913995135380675711855313984593<40>
6076378157884416294070105555159258175345832674287597905950115175157<67>
factorization results 素因数分解の結果
Number: 81113_155
N=7150866213541255139168013561124712939430274236689857766454972162421310162398484250676827743230915873330545428237694875296498686537529302373142741
  ( 145 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=599475221085078562682979979960330682641 (pp39)
 r2=1963100900913995135380675711855313984593 (pp40)
 r3=6076378157884416294070105555159258175345832674287597905950115175157 (pp67)
Version: Msieve-1.40
Total time: 28.10 hours.
Scaled time: 57.38 units (timescale=2.042).
Factorization parameters were as follows:
name: 81113_155
n: 7150866213541255139168013561124712939430274236689857766454972162421310162398484250676827743230915873330545428237694875296498686537529302373142741
m: 10000000000000000000000000000000
deg: 5
c5: 73
c0: 53
skew: 0.94
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 525191 x 525439
Total sieving time: 27.16 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 28.10 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10156+539

c144

name 名前Sinkiti Sibata
date 日付March 6, 2010 11:56:49 UTC 2010 年 3 月 6 日 (土) 20 時 56 分 49 秒 (日本時間)
composite number 合成数
205569846236781379554875163080127974113555332372596052989080971763572737546701893535051051620542278652258884461815380102133077086335347305100349<144>
prime factors 素因数
17925392154432989916583354024124347<35>
11468080835595191865753345461774481116757139225339632148244788517722813432367358565633210419965512640595595367<110>
factorization results 素因数分解の結果
Number: 81117_156
N=205569846236781379554875163080127974113555332372596052989080971763572737546701893535051051620542278652258884461815380102133077086335347305100349
  ( 144 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=17925392154432989916583354024124347 (pp35)
 r2=11468080835595191865753345461774481116757139225339632148244788517722813432367358565633210419965512640595595367 (pp110)
Version: Msieve-1.40
Total time: 34.97 hours.
Scaled time: 70.72 units (timescale=2.022).
Factorization parameters were as follows:
name: 81117_156
n: 205569846236781379554875163080127974113555332372596052989080971763572737546701893535051051620542278652258884461815380102133077086335347305100349
m: 10000000000000000000000000000000
deg: 5
c5: 730
c0: 53
skew: 0.59
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 536628 x 536876
Total sieving time: 34.07 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 34.97 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10160+539

c130

name 名前Sinkiti Sibata
date 日付March 6, 2010 23:09:37 UTC 2010 年 3 月 7 日 (日) 8 時 9 分 37 秒 (日本時間)
composite number 合成数
3403269480415758176550147849702199498387759313845979185844327439358339098251632244152226498185922375999731569834455153424676722559<130>
prime factors 素因数
133870803008801051710203496272893256194485349<45>
25422044268995812704280508880344011903761008028544019465038976765785915326665903414291<86>
factorization results 素因数分解の結果
Number: 81117_160
N=3403269480415758176550147849702199498387759313845979185844327439358339098251632244152226498185922375999731569834455153424676722559
  ( 130 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=133870803008801051710203496272893256194485349 (pp45)
 r2=25422044268995812704280508880344011903761008028544019465038976765785915326665903414291 (pp86)
Version: Msieve-1.40
Total time: 41.80 hours.
Scaled time: 85.06 units (timescale=2.035).
Factorization parameters were as follows:
name: 81117_160
n: 3403269480415758176550147849702199498387759313845979185844327439358339098251632244152226498185922375999731569834455153424676722559
m: 100000000000000000000000000000000
deg: 5
c5: 73
c0: 53
skew: 0.94
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 653864 x 654112
Total sieving time: 40.51 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.07 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 41.80 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10161+539

c155

name 名前Dmitry Domanov
date 日付March 8, 2010 16:03:51 UTC 2010 年 3 月 9 日 (火) 1 時 3 分 51 秒 (日本時間)
composite number 合成数
22558813941370501655456929348078429258091938495662031241404763549436294949298184945951538544021947834732880605131716696414480171394328120229380615964582761<155>
prime factors 素因数
5495324536585396537540470189723989230042652116021927775564610982538531067163<76>
4105092209055912051049652225481315374083335206466886484084451456080384528524747<79>
factorization results 素因数分解の結果
N=22558813941370501655456929348078429258091938495662031241404763549436294949298184945951538544021947834732880605131716696414480171394328120229380615964582761
  ( 155 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=5495324536585396537540470189723989230042652116021927775564610982538531067163 (pp76)
 r2=4105092209055912051049652225481315374083335206466886484084451456080384528524747 (pp79)
Version: Msieve-1.40
Total time: 34.61 hours.
Scaled time: 67.94 units (timescale=1.963).
Factorization parameters were as follows:
n: 22558813941370501655456929348078429258091938495662031241404763549436294949298184945951538544021947834732880605131716696414480171394328120229380615964582761
m: 100000000000000000000000000000000
deg: 5
c5: 730
c0: 53
skew: 0.59
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 699475 x 699701
Total sieving time: 33.82 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 34.61 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
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10163+539

c156

name 名前Dmitry Domanov
date 日付March 8, 2010 22:18:56 UTC 2010 年 3 月 9 日 (火) 7 時 18 分 56 秒 (日本時間)
composite number 合成数
235699417400666213572958947681322140345120043535916695229642263635003768134657882306943589989660928820390647445955188273354468319281139094111160834970532967<156>
prime factors 素因数
357806838561663169804823655737984164235083986346552131832328005837<66>
658733685326270270484301744475264396604114303780445027395322336414077093975250273310591491<90>
factorization results 素因数分解の結果
N=235699417400666213572958947681322140345120043535916695229642263635003768134657882306943589989660928820390647445955188273354468319281139094111160834970532967
  ( 156 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=357806838561663169804823655737984164235083986346552131832328005837 (pp66)
 r2=658733685326270270484301744475264396604114303780445027395322336414077093975250273310591491 (pp90)
Version: Msieve-1.40
Total time: 48.37 hours.
Scaled time: 95.25 units (timescale=1.969).
Factorization parameters were as follows:
n: 235699417400666213572958947681322140345120043535916695229642263635003768134657882306943589989660928820390647445955188273354468319281139094111160834970532967
m: 100000000000000000000000000000000
deg: 5
c5: 73000
c0: 53
skew: 0.24
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 841269 x 841494
Total sieving time: 46.98 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 48.37 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10164+539

c148

name 名前Sinkiti Sibata
date 日付March 9, 2010 12:01:39 UTC 2010 年 3 月 9 日 (火) 21 時 1 分 39 秒 (日本時間)
composite number 合成数
1242420708638190902037039018428650338401202081815102107067936507869358514994055846386399118807878129814995714892806127763030894726837889353483868837<148>
prime factors 素因数
718547535376713458738905550706787795543<39>
1729072396006237860557913643701335115599863200015537489835627694654573181238730643846313730947428568316642659<109>
factorization results 素因数分解の結果
Number: 81117_164
N=1242420708638190902037039018428650338401202081815102107067936507869358514994055846386399118807878129814995714892806127763030894726837889353483868837
  ( 148 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=718547535376713458738905550706787795543 (pp39)
 r2=1729072396006237860557913643701335115599863200015537489835627694654573181238730643846313730947428568316642659 (pp109)
Version: Msieve v. 1.42
Total time: 2.96 hours.
Scaled time: 2.01 units (timescale=0.681).
Factorization parameters were as follows:
name: 81117_164
n: 1242420708638190902037039018428650338401202081815102107067936507869358514994055846386399118807878129814995714892806127763030894726837889353483868837
m: 100000000000000000000000000000000
deg: 5
c5: 730000
c0: 53
skew: 0.15
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 5350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 861886 x 862111
Total sieving time: 0.00 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.39 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 2.96 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3720.68 BogoMIPS (lpj=1860340)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7441.82 BogoMIPS).

Total time: 60 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10165+539

c138

name 名前Serge Batalov
date 日付March 5, 2010 05:55:35 UTC 2010 年 3 月 5 日 (金) 14 時 55 分 35 秒 (日本時間)
composite number 合成数
181524596869287158954257892050150838440238043549194920939915260583622381504687751833240532665170206559273009623703988409142507996825939861<138>
prime factors 素因数
547532214014996573359319054326547<33>
composite cofactor 合成数の残り
331532268280958736378570501301340204437542608748489082668102069729584361353967482815249232752206131214263<105>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=111487072
Step 1 took 4536ms
Step 2 took 2869ms
********** Factor found in step 2: 547532214014996573359319054326547
Found probable prime factor of 33 digits: 547532214014996573359319054326547
Composite cofactor has 105 digits

c105

name 名前Dmitry Domanov
date 日付March 6, 2010 05:48:26 UTC 2010 年 3 月 6 日 (土) 14 時 48 分 26 秒 (日本時間)
composite number 合成数
331532268280958736378570501301340204437542608748489082668102069729584361353967482815249232752206131214263<105>
prime factors 素因数
3405811740779148900299187078031531<34>
97343098654394199754060388300746336798758548389117913633003331677537573<71>
factorization results 素因数分解の結果
Number: a4
N=331532268280958736378570501301340204437542608748489082668102069729584361353967482815249232752206131214263
  ( 105 digits)
Divisors found:
 r1=3405811740779148900299187078031531 (pp34)
 r2=97343098654394199754060388300746336798758548389117913633003331677537573 (pp71)
Version: Msieve-1.40
Total time: 8.48 hours.
Scaled time: 16.59 units (timescale=1.957).
Factorization parameters were as follows:
name: a4
n: 331532268280958736378570501301340204437542608748489082668102069729584361353967482815249232752206131214263
skew: 2808.86
# norm 4.42e+013
c5: 360600
c4: -715747090
c3: -4638300035951
c2: -6239428890059802
c1: 5493346198164735388
c0: 18485683586134411726920
# alpha -4.30
Y1: 76974463313
Y0: -62044063036900956287
# Murphy_E 1.88e-009
# M 318654900926737468139591645348122796488953527215270573771081586463463828867630659564601431774601090665650
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, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269587 x 269812
Polynomial selection time: 0.76 hours.
Total sieving time: 7.34 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 8.48 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
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10170+539

c145

name 名前Sinkiti Sibata
date 日付March 11, 2010 04:26:42 UTC 2010 年 3 月 11 日 (木) 13 時 26 分 42 秒 (日本時間)
composite number 合成数
1041028227838470342721386290540955645799935760419794695340333110301847767739081690326123981208221164633210312815973397662282267735557683164203019<145>
prime factors 素因数
120458465687581815235459023537135685106836164050595707917<57>
8642217231443543059147166231865813117975343520576880809388786675261480079979243336242807<88>
factorization results 素因数分解の結果
Number: 81117_170
N=1041028227838470342721386290540955645799935760419794695340333110301847767739081690326123981208221164633210312815973397662282267735557683164203019
  ( 145 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=120458465687581815235459023537135685106836164050595707917 (pp57)
 r2=8642217231443543059147166231865813117975343520576880809388786675261480079979243336242807 (pp88)
Version: Msieve-1.40
Total time: 87.78 hours.
Scaled time: 178.10 units (timescale=2.029).
Factorization parameters were as follows:
name: 81117_170
n: 1041028227838470342721386290540955645799935760419794695340333110301847767739081690326123981208221164633210312815973397662282267735557683164203019
m: 10000000000000000000000000000000000
deg: 5
c5: 73
c0: 53
skew: 0.94
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1014274 x 1014522
Total sieving time: 84.82 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.65 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 87.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10171+539

c137

name 名前Sinkiti Sibata
date 日付May 13, 2010 13:37:59 UTC 2010 年 5 月 13 日 (木) 22 時 37 分 59 秒 (日本時間)
composite number 合成数
47526577134639328945152060574181207394475814447558124851735916428317814412848465155044021556869424603497163965803445257982430080958736173<137>
prime factors 素因数
5571068713079973625696269254936039922861914786570880202334935121<64>
8530962295089731548916109784275056155975218913754234288794561580702467613<73>
factorization results 素因数分解の結果
Number: 81117_171
N=47526577134639328945152060574181207394475814447558124851735916428317814412848465155044021556869424603497163965803445257982430080958736173
  ( 137 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=5571068713079973625696269254936039922861914786570880202334935121 (pp64)
 r2=8530962295089731548916109784275056155975218913754234288794561580702467613 (pp73)
Version: Msieve-1.40
Total time: 99.00 hours.
Scaled time: 314.24 units (timescale=3.174).
Factorization parameters were as follows:
name: 81117_171
n: 47526577134639328945152060574181207394475814447558124851735916428317814412848465155044021556869424603497163965803445257982430080958736173
m: 10000000000000000000000000000000000
deg: 5
c5: 730
c0: 53
skew: 0.59
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1056630 x 1056878
Total sieving time: 96.06 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.43 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 99.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiMarch 7, 2010 08:23:32 UTC 2010 年 3 月 7 日 (日) 17 時 23 分 32 秒 (日本時間)

73×10173+539

c123

name 名前ruffenach timothee
date 日付April 27, 2010 11:52:25 UTC 2010 年 4 月 27 日 (火) 20 時 52 分 25 秒 (日本時間)
composite number 合成数
142702249338299074568106562908737363078245757858570944674877675506724115087386366956006882592834991525683305193123665775171<123>
prime factors 素因数
144799672943759271000267751614947<33>
985514997632108992919519737077144541324461229294538693179063444828108618457614902061583393<90>
factorization results 素因数分解の結果
Number: 81117_173/81117_173
N=142702249338299074568106562908737363078245757858570944674877675506724115087386366956006882592834991525683305193123665775171
  ( 123 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=144799672943759271000267751614947 (pp33)
 r2=985514997632108992919519737077144541324461229294538693179063444828108618457614902061583393 (pp90)
Version: Msieve v. 1.44
Total time: 148.55 hours.
Scaled time: 310.18 units (timescale=2.088).
Factorization parameters were as follows:
n: 142702249338299074568106562908737363078245757858570944674877675506724115087386366956006882592834991525683305193123665775171
m: 10000000000000000000000000000000000
deg: 5
c5: 73000
c0: 53
skew: 0.24
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 9450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1265160 x 1265387
Total sieving time: 146.14 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.04 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 148.55 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
gnffs
execution environment 実行環境
ubuntu linux 9.04, quad core 2.5 Ghz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10175+539

c166

name 名前Dmitry Domanov
date 日付September 3, 2011 14:18:26 UTC 2011 年 9 月 3 日 (土) 23 時 18 分 26 秒 (日本時間)
composite number 合成数
3124511586581026080948595259106542412278575564236935068959229744207287718490074675383367045814578873113400965951035663182795145320924041760413981036470232966760239719<166>
prime factors 素因数
247743464702099687570146106065596843731463850498465456380793<60>
12611882982818981569742424964730493200266281544513081170633245679063144653193990710410608293901061790172383<107>
factorization results 素因数分解の結果
N=3124511586581026080948595259106542412278575564236935068959229744207287718490074675383367045814578873113400965951035663182795145320924041760413981036470232966760239719
  ( 166 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=247743464702099687570146106065596843731463850498465456380793 (pp60)
 r2=12611882982818981569742424964730493200266281544513081170633245679063144653193990710410608293901061790172383 (pp107)
Version: Msieve-1.40
Total time: 88.10 hours.
Scaled time: 165.36 units (timescale=1.877).
Factorization parameters were as follows:
n: 3124511586581026080948595259106542412278575564236935068959229744207287718490074675383367045814578873113400965951035663182795145320924041760413981036470232966760239719
m: 100000000000000000000000000000000000
deg: 5
c5: 73
c0: 53
skew: 0.94
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1269139 x 1269371
Total sieving time: 85.65 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.84 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 88.10 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 19:53:02 UTC 2011 年 3 月 27 日 (日) 4 時 53 分 2 秒 (日本時間)
403e62126110Ignacio SantosMarch 26, 2011 19:53:02 UTC 2011 年 3 月 27 日 (日) 4 時 53 分 2 秒 (日本時間)
330Ignacio SantosAugust 28, 2011 22:23:56 UTC 2011 年 8 月 29 日 (月) 7 時 23 分 56 秒 (日本時間)
1686Wataru SakaiAugust 31, 2011 04:14:18 UTC 2011 年 8 月 31 日 (水) 13 時 14 分 18 秒 (日本時間)
4511e6403232Ignacio SantosMarch 26, 2011 19:53:02 UTC 2011 年 3 月 27 日 (日) 4 時 53 分 2 秒 (日本時間)
4000Wataru SakaiSeptember 2, 2011 09:08:05 UTC 2011 年 9 月 2 日 (金) 18 時 8 分 5 秒 (日本時間)

73×10176+539

c158

name 名前Robert Backstrom
date 日付January 9, 2012 15:01:11 UTC 2012 年 1 月 10 日 (火) 0 時 1 分 11 秒 (日本時間)
composite number 合成数
23193719204164174620531263537264109153973469456855959285519111919605190630737744005948540258677962001400834679724815332625974149303754788176031858238702551803<158>
prime factors 素因数
42282013815989719077199268721606475001945021389114500343104955857766750453<74>
548548120368690771192885045530208149972351534770192936285082270027303943241854907951<84>
factorization results 素因数分解の結果
Number: n
N=23193719204164174620531263537264109153973469456855959285519111919605190630737744005948540258677962001400834679724815332625974149303754788176031858238702551803
  ( 158 digits)
SNFS difficulty: 177 digits.
Divisors found:

Tue Jan 10 01:57:06 2012  prp74 factor: 42282013815989719077199268721606475001945021389114500343104955857766750453
Tue Jan 10 01:57:06 2012  prp84 factor: 548548120368690771192885045530208149972351534770192936285082270027303943241854907951
Tue Jan 10 01:57:06 2012  elapsed time 03:32:07 (Msieve 1.44 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.646).
Factorization parameters were as follows:
name: KA_81117_176
n: 23193719204164174620531263537264109153973469456855959285519111919605190630737744005948540258677962001400834679724815332625974149303754788176031858238702551803
m: 100000000000000000000000000000000000
deg: 5
c5: 730
c0: 53
skew: 0.59
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8093198 hash collisions in 76883791 relations
Msieve: matrix is 1143534 x 1143782 (318.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 20:21:27 UTC 2011 年 3 月 27 日 (日) 5 時 21 分 27 秒 (日本時間)
403e62126110Ignacio SantosMarch 26, 2011 20:21:27 UTC 2011 年 3 月 27 日 (日) 5 時 21 分 27 秒 (日本時間)
2016Wataru SakaiOctober 28, 2011 10:05:37 UTC 2011 年 10 月 28 日 (金) 19 時 5 分 37 秒 (日本時間)
4511e632 / 3991Ignacio SantosMarch 26, 2011 20:21:27 UTC 2011 年 3 月 27 日 (日) 5 時 21 分 27 秒 (日本時間)

73×10177+539

c133

name 名前Serge Batalov
date 日付March 5, 2010 05:54:08 UTC 2010 年 3 月 5 日 (金) 14 時 54 分 8 秒 (日本時間)
composite number 合成数
1065828911927660504342061452047293961201635770157727389735443551733130777059247368282436469762823342555475245712256038400861306170899<133>
prime factors 素因数
20997729987883811018815983791981363<35>
50759244572754726540806879900106127244683624322649018524311800623632740586427301002784060156307873<98>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=4147580366
Step 1 took 3808ms
Step 2 took 2689ms
********** Factor found in step 2: 20997729987883811018815983791981363
Found probable prime factor of 35 digits: 20997729987883811018815983791981363
Probable prime cofactor has 98 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10179+539

c178

name 名前Ignacio Santos
date 日付March 4, 2010 20:29:12 UTC 2010 年 3 月 5 日 (金) 5 時 29 分 12 秒 (日本時間)
composite number 合成数
7441386340468909276248725790010193679918450560652395514780835881753312945973496432212028542303771661569826707441386340468909276248725790010193679918450560652395514780835881753313<178>
prime factors 素因数
44464533498611281799369361039634787<35>
composite cofactor 合成数の残り
167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=986939827
Step 1 took 106408ms
Step 2 took 25881ms
********** Factor found in step 2: 44464533498611281799369361039634787
Found probable prime factor of 35 digits: 44464533498611281799369361039634787
Composite cofactor 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299 has 144 digits
software ソフトウェア
GMP-ECM

c144

name 名前Cyp
date 日付January 19, 2014 15:00:51 UTC 2014 年 1 月 20 日 (月) 0 時 0 分 51 秒 (日本時間)
composite number 合成数
167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299<144>
prime factors 素因数
11532529044360848104803913966313272799929151<44>
14511608571463864332673932879794986415097267111934471435731219281716004568593596420298964160461732949<101>
factorization results 素因数分解の結果
01/17/14 10:26:02 v1.34.3, nfs: commencing nfs on c144: 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/17/14 10:26:02 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/14 10:26:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/14 10:31:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[239 lines snipped]
01/18/14 08:50:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/14 08:56:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/14 09:02:01 v1.34.3, nfs: commencing msieve filtering
01/18/14 09:06:31 v1.34.3, nfs: commencing msieve linear algebra
01/19/14 09:16:51 v1.34.3, 
01/19/14 09:16:51 v1.34.3, ****************************
01/19/14 09:16:51 v1.34.3, Starting factorization of 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 09:16:51 v1.34.3, using pretesting plan: none
01/19/14 09:16:51 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/19/14 09:16:51 v1.34.3, ****************************
01/19/14 09:16:51 v1.34.3, nfs: commencing nfs on c144: 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 09:16:51 v1.34.3, nfs: resuming with sieving at user specified special-q 13420003
01/19/14 09:16:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/14 10:27:58 v1.34.3, c144 cofactor = 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 10:27:58 v1.34.3, Total factoring time = 4266.9426 seconds
01/19/14 13:02:44 v1.34.3, 
01/19/14 13:02:44 v1.34.3, ****************************
01/19/14 13:02:44 v1.34.3, Starting factorization of 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 13:02:44 v1.34.3, using pretesting plan: none
01/19/14 13:02:44 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/19/14 13:02:44 v1.34.3, ****************************
01/19/14 13:02:44 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/19/14 13:03:17 v1.34.3, nfs: parsing special-q from .dat file
01/19/14 13:03:17 v1.34.3, nfs: commencing nfs on c144: 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 13:03:17 v1.34.3, nfs: resuming with filtering
01/19/14 13:03:17 v1.34.3, nfs: commencing msieve filtering
01/19/14 13:11:23 v1.34.3, nfs: commencing msieve linear algebra
01/19/14 13:18:28 v1.34.3, 
01/19/14 13:18:28 v1.34.3, ****************************
01/19/14 13:18:28 v1.34.3, Starting factorization of 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 13:18:28 v1.34.3, using pretesting plan: none
01/19/14 13:18:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/19/14 13:18:28 v1.34.3, ****************************
01/19/14 13:18:28 v1.34.3, nfs: commencing nfs on c144: 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 13:18:28 v1.34.3, nfs: resuming with sieving at user specified special-q 13688407
01/19/14 13:18:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/14 13:47:28 v1.34.3, c144 cofactor = 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 13:47:28 v1.34.3, Total factoring time = 1740.3157 seconds
01/19/14 13:49:16 v1.34.3, 
01/19/14 13:49:16 v1.34.3, ****************************
01/19/14 13:49:16 v1.34.3, Starting factorization of 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 13:49:16 v1.34.3, using pretesting plan: none
01/19/14 13:49:16 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/19/14 13:49:16 v1.34.3, ****************************
01/19/14 13:49:16 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/19/14 13:49:42 v1.34.3, nfs: parsing special-q from .dat file
01/19/14 13:49:42 v1.34.3, nfs: commencing nfs on c144: 167355547330802851463706777871172057377616150498854936582318565163083904190350600672902650821905317556952592844106376449129200795980933882296299
01/19/14 13:49:42 v1.34.3, nfs: resuming with filtering
01/19/14 13:49:42 v1.34.3, nfs: commencing msieve filtering
01/19/14 13:58:02 v1.34.3, nfs: commencing msieve linear algebra
01/19/14 15:56:26 v1.34.3, nfs: commencing msieve sqrt
01/19/14 16:00:49 v1.34.3, prp44 = 11532529044360848104803913966313272799929151
01/19/14 16:00:49 v1.34.3, prp101 = 14511608571463864332673932879794986415097267111934471435731219281716004568593596420298964160461732949
01/19/14 16:00:50 v1.34.3, NFS elapsed time = 7893.6196 seconds.
01/19/14 16:00:50 v1.34.3, 
01/19/14 16:00:50 v1.34.3, 
01/19/14 16:00:50 v1.34.3, Total factoring time = 7893.6214 seconds
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 21:27:06 UTC 2011 年 3 月 27 日 (日) 6 時 27 分 6 秒 (日本時間)
403e6110Ignacio SantosMarch 26, 2011 21:27:06 UTC 2011 年 3 月 27 日 (日) 6 時 27 分 6 秒 (日本時間)
4511e61482 / 443732Ignacio SantosMarch 26, 2011 21:27:06 UTC 2011 年 3 月 27 日 (日) 6 時 27 分 6 秒 (日本時間)
600Rich DickersonJuly 3, 2012 19:59:08 UTC 2012 年 7 月 4 日 (水) 4 時 59 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:36 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 36 秒 (日本時間)

73×10180+539

c172

name 名前Robert Backstrom
date 日付January 20, 2012 21:02:54 UTC 2012 年 1 月 21 日 (土) 6 時 2 分 54 秒 (日本時間)
composite number 合成数
6385397698719796242610219589363203568783588813939356205430945835906619084386954809088376746352027521125661208073843137098451999118500571136605154310359198727558043397818911<172>
prime factors 素因数
123392009422763049513733941728076833937574531371463<51>
51748875219644766022469898858926294959395334362696033184695725860485070241264469701426760651026078875478212346300483749097<122>
factorization results 素因数分解の結果
Number: n
N=6385397698719796242610219589363203568783588813939356205430945835906619084386954809088376746352027521125661208073843137098451999118500571136605154310359198727558043397818911
  ( 172 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sat Jan 21 07:58:38 2012  prp51 factor: 123392009422763049513733941728076833937574531371463
Sat Jan 21 07:58:38 2012  prp122 factor: 51748875219644766022469898858926294959395334362696033184695725860485070241264469701426760651026078875478212346300483749097
Sat Jan 21 07:58:38 2012  elapsed time 02:14:04 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.661).
Factorization parameters were as follows:
name: KA_81117_180
n: 6385397698719796242610219589363203568783588813939356205430945835906619084386954809088376746352027521125661208073843137098451999118500571136605154310359198727558043397818911
m: 1000000000000000000000000000000000000
deg: 5
c5: 73
c0: 53
skew: 0.94
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5737565 hash collisions in 76000098 relations
Msieve: matrix is 1058876 x 1059124 (294.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 26, 2011 22:31:51 UTC 2011 年 3 月 27 日 (日) 7 時 31 分 51 秒 (日本時間)
403e6110 / 2126Ignacio SantosMarch 26, 2011 22:31:51 UTC 2011 年 3 月 27 日 (日) 7 時 31 分 51 秒 (日本時間)
4511e632 / 4437Ignacio SantosMarch 26, 2011 22:31:51 UTC 2011 年 3 月 27 日 (日) 7 時 31 分 51 秒 (日本時間)

73×10182+539

c168

name 名前Jo Yeong Uk
date 日付May 21, 2014 12:09:31 UTC 2014 年 5 月 21 日 (水) 21 時 9 分 31 秒 (日本時間)
composite number 合成数
698569955363156155916378009762130579908514406411173750591239530658228444620288513986184310059874165278234111700169856431498347348243453549675150175707693412857272039367<168>
prime factors 素因数
1619256275384084594010421824099271284732933352849<49>
431414079403494455736048920298306075778328325276439433025766529736654017160280980505568771254136391144882473769767732183<120>
factorization results 素因数分解の結果
Number: 81117_182
N=698569955363156155916378009762130579908514406411173750591239530658228444620288513986184310059874165278234111700169856431498347348243453549675150175707693412857272039367
  ( 168 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1619256275384084594010421824099271284732933352849
 r2=431414079403494455736048920298306075778328325276439433025766529736654017160280980505568771254136391144882473769767732183
Version: 
Total time: 93.19 hours.
Scaled time: 489.06 units (timescale=5.248).
Factorization parameters were as follows:
n: 698569955363156155916378009762130579908514406411173750591239530658228444620288513986184310059874165278234111700169856431498347348243453549675150175707693412857272039367
m: 1000000000000000000000000000000000000
deg: 5
c5: 7300
c0: 53
skew: 0.37
# Murphy_E = 4.931e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19367536
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1559642 x 1559889
Total sieving time: 87.90 hours.
Total relation processing time: 2.19 hours.
Matrix solve time: 2.97 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 93.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.27 BogoMIPS (lpj=3400138)
Total of 12 processors activated (81603.31 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 27, 2011 00:03:23 UTC 2011 年 3 月 27 日 (日) 9 時 3 分 23 秒 (日本時間)
403e6110Ignacio SantosMarch 27, 2011 00:03:23 UTC 2011 年 3 月 27 日 (日) 9 時 3 分 23 秒 (日本時間)
4511e61572 / 443732Ignacio SantosMarch 27, 2011 00:03:23 UTC 2011 年 3 月 27 日 (日) 9 時 3 分 23 秒 (日本時間)
230Ignacio SantosOctober 21, 2013 21:54:40 UTC 2013 年 10 月 22 日 (火) 6 時 54 分 40 秒 (日本時間)
230Ignacio SantosOctober 22, 2013 14:11:07 UTC 2013 年 10 月 22 日 (火) 23 時 11 分 7 秒 (日本時間)
230Ignacio SantosOctober 22, 2013 17:37:46 UTC 2013 年 10 月 23 日 (水) 2 時 37 分 46 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:32 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 32 秒 (日本時間)

73×10184+539

c104

name 名前Dmitry Domanov
date 日付March 5, 2010 18:32:39 UTC 2010 年 3 月 6 日 (土) 3 時 32 分 39 秒 (日本時間)
composite number 合成数
44915665019282980495498171850022614292866943857514606028578165409639883762919629517283504942323981262289<104>
prime factors 素因数
5280092307901763914162506423117264061013<40>
8506606021274625825119162993392827032738697230383740017188602253<64>
factorization results 素因数分解の結果
Number: a2
N=44915665019282980495498171850022614292866943857514606028578165409639883762919629517283504942323981262289
  ( 104 digits)
Divisors found:
 r1=5280092307901763914162506423117264061013 (pp40)
 r6=8506606021274625825119162993392827032738697230383740017188602253 (pp64)
Version: Msieve-1.40
Total time: 18.47 hours.
Scaled time: 34.97 units (timescale=1.894).
Factorization parameters were as follows:
name: a2
n: 44915665019282980495498171850022614292866943857514606028578165409639883762919629517283504942323981262289
skew: 11185.37
# norm 7.91e+013
c5: 25080
c4: -155085900
c3: -10841198722766
c2: 17688135377874199
c1: 531236651238639324694
c0: 40170149139140882179824
# alpha -5.90
Y1: 41358282619
Y0: -70894798708412519399
# Murphy_E 2.49e-009
# M 39168082499401701645821112925561924264073239533292279853516935327050939866080255103847681351541375204775
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 288398 x 288623
Total sieving time: 17.15 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 18.47 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
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10186+539

c169

name 名前Jiahao He
date 日付July 15, 2017 19:24:35 UTC 2017 年 7 月 16 日 (日) 4 時 24 分 35 秒 (日本時間)
composite number 合成数
6390634522335691944992885450418924606459081233253293175118024990265629008028437421529241594067449254505133914904830985801378586156559102428291450099771224702178203340987<169>
prime factors 素因数
66428351117462764179693913306081596727707912691712273987<56>
96203419395965020706361576945441776716907486750923301010723512985963219892908614669963016663905741353374764841001<113>
factorization results 素因数分解の結果
Number: 81117_186
N = 6390634522335691944992885450418924606459081233253293175118024990265629008028437421529241594067449254505133914904830985801378586156559102428291450099771224702178203340987 (169 digits)
SNFS difficulty: 188 digits.
Divisors found:
r1=66428351117462764179693913306081596727707912691712273987 (pp56)
r2=96203419395965020706361576945441776716907486750923301010723512985963219892908614669963016663905741353374764841001 (pp113)
Version: Msieve v. 1.53 (SVN 1005)
Total time: 106.83 hours.
Factorization parameters were as follows:
n:6390634522335691944992885450418924606459081233253293175118024990265629008028437421529241594067449254505133914904830985801378586156559102428291450099771224702178203340987
m: 10000000000000000000000000000000000000
deg: 5
c5: 730
c0: 53
skew: 0.59
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22481268
Relations: 3604620 relations
Pruned matrix : 2219074 x 2219301
Total sieving time: 102.22 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.07 hours.
time per square root: 0.40 hours.
Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 106.83 hours.
Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
processors: 4, speed: 2.40GHz
Windows-10-10.0.14393-SP0
Running Python 3.6

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 27, 2011 01:11:46 UTC 2011 年 3 月 27 日 (日) 10 時 11 分 46 秒 (日本時間)
403e61910110Ignacio SantosMarch 27, 2011 01:11:46 UTC 2011 年 3 月 27 日 (日) 10 時 11 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:26 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 26 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 11:59:44 UTC 2014 年 2 月 14 日 (金) 20 時 59 分 44 秒 (日本時間)
4511e6632 / 403932Ignacio SantosMarch 27, 2011 01:11:46 UTC 2011 年 3 月 27 日 (日) 10 時 11 分 46 秒 (日本時間)
600Dmitry DomanovMarch 26, 2014 08:26:37 UTC 2014 年 3 月 26 日 (水) 17 時 26 分 37 秒 (日本時間)

73×10188+539

c189

name 名前Dmitry Domanov
date 日付March 21, 2010 16:09:39 UTC 2010 年 3 月 22 日 (月) 1 時 9 分 39 秒 (日本時間)
composite number 合成数
811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<189>
prime factors 素因数
590921079213210541595808183938281669180770197234272207297<57>
6095516126264280663828889925657141920706667998040538329748207<61>
225185480048839791859793660477385346756785698320881454715964387995369923<72>
factorization results 素因数分解の結果
Sieving took ~12cpu-days

Sun Mar 21 01:59:30 2010  
Sun Mar 21 01:59:30 2010  
Sun Mar 21 01:59:30 2010  Msieve v. 1.42
Sun Mar 21 01:59:30 2010  random seeds: 0d5b5200 965e6ad0
Sun Mar 21 01:59:30 2010  factoring 811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117 (189 digits)
Sun Mar 21 01:59:32 2010  searching for 15-digit factors
Sun Mar 21 01:59:33 2010  commencing number field sieve (189-digit input)
Sun Mar 21 01:59:33 2010  R0: -10000000000000000000000000000000000000
Sun Mar 21 01:59:33 2010  R1:  1
Sun Mar 21 01:59:33 2010  A0:  53
Sun Mar 21 01:59:33 2010  A1:  0
Sun Mar 21 01:59:33 2010  A2:  0
Sun Mar 21 01:59:33 2010  A3:  0
Sun Mar 21 01:59:33 2010  A4:  0
Sun Mar 21 01:59:33 2010  A5:  73000
Sun Mar 21 01:59:33 2010  skew 0.24, size 1.380983e-013, alpha 0.266559, combined = 2.613704e-011
Sun Mar 21 01:59:33 2010  
Sun Mar 21 01:59:33 2010  commencing relation filtering
Sun Mar 21 01:59:33 2010  estimated available RAM is 4096.0 MB
Sun Mar 21 01:59:33 2010  commencing duplicate removal, pass 1
Sun Mar 21 02:01:45 2010  error -6 reading relation 14115044
Sun Mar 21 02:02:56 2010  found 2752241 hash collisions in 22188662 relations
Sun Mar 21 02:03:41 2010  added 981 free relations
Sun Mar 21 02:03:41 2010  commencing duplicate removal, pass 2
Sun Mar 21 02:04:28 2010  found 2289045 duplicates and 19900597 unique relations
Sun Mar 21 02:04:28 2010  memory use: 98.6 MB
Sun Mar 21 02:04:28 2010  reading ideals above 12124160
Sun Mar 21 02:04:31 2010  commencing singleton removal, initial pass
Sun Mar 21 02:08:07 2010  memory use: 298.4 MB
Sun Mar 21 02:08:07 2010  reading all ideals from disk
Sun Mar 21 02:08:07 2010  memory use: 361.0 MB
Sun Mar 21 02:08:10 2010  commencing in-memory singleton removal
Sun Mar 21 02:08:12 2010  begin with 19900597 relations and 20275035 unique ideals
Sun Mar 21 02:08:36 2010  reduce to 8665940 relations and 6865556 ideals in 17 passes
Sun Mar 21 02:08:36 2010  max relations containing the same ideal: 42
Sun Mar 21 02:08:39 2010  reading ideals above 100000
Sun Mar 21 02:08:39 2010  commencing singleton removal, initial pass
Sun Mar 21 02:11:03 2010  memory use: 149.2 MB
Sun Mar 21 02:11:03 2010  reading all ideals from disk
Sun Mar 21 02:11:03 2010  memory use: 347.7 MB
Sun Mar 21 02:11:06 2010  keeping 8414967 ideals with weight <= 200, target excess is 48131
Sun Mar 21 02:11:09 2010  commencing in-memory singleton removal
Sun Mar 21 02:11:11 2010  begin with 8666929 relations and 8414967 unique ideals
Sun Mar 21 02:11:37 2010  reduce to 8661665 relations and 8404856 ideals in 11 passes
Sun Mar 21 02:11:37 2010  max relations containing the same ideal: 200
Sun Mar 21 02:11:49 2010  removing 965537 relations and 865048 ideals in 100489 cliques
Sun Mar 21 02:11:49 2010  commencing in-memory singleton removal
Sun Mar 21 02:11:51 2010  begin with 7696128 relations and 8404856 unique ideals
Sun Mar 21 02:12:11 2010  reduce to 7610920 relations and 7453195 ideals in 9 passes
Sun Mar 21 02:12:11 2010  max relations containing the same ideal: 193
Sun Mar 21 02:12:20 2010  removing 715701 relations and 615212 ideals in 100489 cliques
Sun Mar 21 02:12:20 2010  commencing in-memory singleton removal
Sun Mar 21 02:12:22 2010  begin with 6895219 relations and 7453195 unique ideals
Sun Mar 21 02:12:39 2010  reduce to 6841553 relations and 6783579 ideals in 9 passes
Sun Mar 21 02:12:39 2010  max relations containing the same ideal: 180
Sun Mar 21 02:12:49 2010  relations with 0 large ideals: 1072
Sun Mar 21 02:12:49 2010  relations with 1 large ideals: 84
Sun Mar 21 02:12:49 2010  relations with 2 large ideals: 848
Sun Mar 21 02:12:49 2010  relations with 3 large ideals: 11238
Sun Mar 21 02:12:49 2010  relations with 4 large ideals: 84552
Sun Mar 21 02:12:49 2010  relations with 5 large ideals: 381345
Sun Mar 21 02:12:49 2010  relations with 6 large ideals: 1130812
Sun Mar 21 02:12:49 2010  relations with 7+ large ideals: 5231602
Sun Mar 21 02:12:49 2010  commencing 2-way merge
Sun Mar 21 02:13:02 2010  reduce to 4086662 relation sets and 4028688 unique ideals
Sun Mar 21 02:13:02 2010  commencing full merge
Sun Mar 21 02:15:22 2010  memory use: 436.6 MB
Sun Mar 21 02:15:23 2010  found 2106309 cycles, need 2098888
Sun Mar 21 02:15:23 2010  weight of 2098888 cycles is about 147268928 (70.17/cycle)
Sun Mar 21 02:15:23 2010  distribution of cycle lengths:
Sun Mar 21 02:15:23 2010  1 relations: 282502
Sun Mar 21 02:15:23 2010  2 relations: 264333
Sun Mar 21 02:15:23 2010  3 relations: 260126
Sun Mar 21 02:15:23 2010  4 relations: 230432
Sun Mar 21 02:15:23 2010  5 relations: 197362
Sun Mar 21 02:15:23 2010  6 relations: 167679
Sun Mar 21 02:15:23 2010  7 relations: 141000
Sun Mar 21 02:15:23 2010  8 relations: 116110
Sun Mar 21 02:15:23 2010  9 relations: 94579
Sun Mar 21 02:15:23 2010  10+ relations: 344765
Sun Mar 21 02:15:23 2010  heaviest cycle: 25 relations
Sun Mar 21 02:15:24 2010  commencing cycle optimization
Sun Mar 21 02:15:30 2010  start with 11726985 relations
Sun Mar 21 02:16:02 2010  pruned 237004 relations
Sun Mar 21 02:16:02 2010  memory use: 316.7 MB
Sun Mar 21 02:16:02 2010  distribution of cycle lengths:
Sun Mar 21 02:16:02 2010  1 relations: 282502
Sun Mar 21 02:16:02 2010  2 relations: 269782
Sun Mar 21 02:16:02 2010  3 relations: 268138
Sun Mar 21 02:16:02 2010  4 relations: 234147
Sun Mar 21 02:16:02 2010  5 relations: 201153
Sun Mar 21 02:16:02 2010  6 relations: 168549
Sun Mar 21 02:16:02 2010  7 relations: 140861
Sun Mar 21 02:16:02 2010  8 relations: 114997
Sun Mar 21 02:16:02 2010  9 relations: 93133
Sun Mar 21 02:16:02 2010  10+ relations: 325626
Sun Mar 21 02:16:02 2010  heaviest cycle: 25 relations
Sun Mar 21 02:16:12 2010  RelProcTime: 999
Sun Mar 21 02:16:12 2010  
Sun Mar 21 02:16:12 2010  commencing linear algebra
Sun Mar 21 02:16:13 2010  read 2098888 cycles
Sun Mar 21 02:16:18 2010  cycles contain 6758971 unique relations
Sun Mar 21 02:24:51 2010  read 6758971 relations
Sun Mar 21 02:25:05 2010  using 20 quadratic characters above 268432920
Sun Mar 21 02:25:41 2010  building initial matrix
Sun Mar 21 02:27:22 2010  memory use: 751.7 MB
Sun Mar 21 02:27:28 2010  read 2098888 cycles
Sun Mar 21 02:32:59 2010  matrix is 2098711 x 2098888 (600.7 MB) with weight 186987251 (89.09/col)
Sun Mar 21 02:32:59 2010  sparse part has weight 142777897 (68.03/col)
Sun Mar 21 02:33:37 2010  filtering completed in 2 passes
Sun Mar 21 02:33:37 2010  matrix is 2097255 x 2097432 (600.6 MB) with weight 186943729 (89.13/col)
Sun Mar 21 02:33:37 2010  sparse part has weight 142765100 (68.07/col)
Sun Mar 21 02:34:10 2010  read 2097432 cycles
Sun Mar 21 02:45:52 2010  matrix is 2097255 x 2097432 (600.6 MB) with weight 186943729 (89.13/col)
Sun Mar 21 02:45:52 2010  sparse part has weight 142765100 (68.07/col)
Sun Mar 21 02:45:52 2010  saving the first 48 matrix rows for later
Sun Mar 21 02:45:53 2010  matrix is 2097207 x 2097432 (570.1 MB) with weight 148572788 (70.84/col)
Sun Mar 21 02:45:53 2010  sparse part has weight 136872938 (65.26/col)
Sun Mar 21 02:45:53 2010  matrix includes 64 packed rows
Sun Mar 21 02:45:53 2010  using block size 65536 for processor cache size 6144 kB
Sun Mar 21 02:46:09 2010  commencing Lanczos iteration
Sun Mar 21 02:46:09 2010  memory use: 596.4 MB
Sun Mar 21 17:48:21 2010  lanczos halted after 33170 iterations (dim = 2097207)
Sun Mar 21 17:48:27 2010  recovered 38 nontrivial dependencies
Sun Mar 21 17:48:31 2010  BLanczosTime: 55939
Sun Mar 21 17:48:31 2010  
Sun Mar 21 17:48:31 2010  commencing square root phase
Sun Mar 21 17:48:31 2010  reading relations for dependency 1
Sun Mar 21 17:48:32 2010  read 1048339 cycles
Sun Mar 21 17:48:35 2010  cycles contain 4122402 unique relations
Sun Mar 21 17:54:09 2010  read 4122402 relations
Sun Mar 21 17:54:37 2010  multiplying 3380344 relations
Sun Mar 21 18:01:20 2010  multiply complete, coefficients have about 130.22 million bits
Sun Mar 21 18:01:21 2010  initial square root is modulo 2222509301
Sun Mar 21 18:14:24 2010  reading relations for dependency 2
Sun Mar 21 18:14:25 2010  read 1048664 cycles
Sun Mar 21 18:14:28 2010  cycles contain 4116727 unique relations
Sun Mar 21 18:19:13 2010  read 4116727 relations
Sun Mar 21 18:19:41 2010  multiplying 3377746 relations
Sun Mar 21 18:26:23 2010  multiply complete, coefficients have about 130.12 million bits
Sun Mar 21 18:26:24 2010  initial square root is modulo 2186212141
Sun Mar 21 18:39:28 2010  sqrtTime: 3057
Sun Mar 21 18:39:28 2010  prp57 factor: 590921079213210541595808183938281669180770197234272207297
Sun Mar 21 18:39:28 2010  prp61 factor: 6095516126264280663828889925657141920706667998040538329748207
Sun Mar 21 18:39:28 2010  prp72 factor: 225185480048839791859793660477385346756785698320881454715964387995369923
Sun Mar 21 18:39:28 2010  elapsed time 16:39:58
software ソフトウェア
ggnfs/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10190+539

c169

name 名前Eric Jeancolas
date 日付December 24, 2020 10:45:04 UTC 2020 年 12 月 24 日 (木) 19 時 45 分 4 秒 (日本時間)
composite number 合成数
1608906258442994734091702664367276123368203533862954344817876997721870572294299594821085774716192203110231266362929358078968777157332971232789427819051100013281357302349<169>
prime factors 素因数
24372078837906245335314392157301244329350574540590668646645563200623602981<74>
66014321927296560828088854334103320260340659898978985402332902630375642304829920781807670993929<95>
factorization results 素因数分解の結果
1608906258442994734091702664367276123368203533862954344817876997721870572294299594821085774716192203110231266362929358078968777157332971232789427819051100013281357302349=24372078837906245335314392157301244329350574540590668646645563200623602981*66014321927296560828088854334103320260340659898978985402332902630375642304829920781807670993929

cado polynomial
n: 1608906258442994734091702664367276123368203533862954344817876997721870572294299594821085774716192203110231266362929358078968777157332971232789427819051100013281357302349
skew: 0.94
type: snfs
c0: 53
c5: 73
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 73*x^5+53
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11000000
tasks.lim1 = 11000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 66014321927296560828088854334103320260340659898978985402332902630375642304829920781807670993929 24372078837906245335314392157301244329350574540590668646645563200623602981
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: 4.77/2.088
Info:Generate Free Relations: Total cpu/real time for freerel: 102.3/26.1105
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34275098
Info:Lattice Sieving: Average J: 944.191 for 11015997 special-q, max bucket fill -bkmult 1.0,1s:1.161520
Info:Lattice Sieving: Total time: 1.85478e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 70.53/170.148
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 169.29999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 628.91/655.207
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 567.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 574.53/694.543
Info:Filtering - Merging: Merged matrix has 3181263 rows and total weight 543746145 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 426.77/124.851
Info:Filtering - Merging: Total cpu/real time for replay: 125.45/109.179
Info:Linear Algebra: Total cpu/real time for bwc: 183786/47038.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 30101.71, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (99840 iterations)
Info:Linear Algebra: Lingen CPU time 662.41, WCT time 191.26
Info:Linear Algebra: Mksol: WCT time 16363.66, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 115.49/48.3343
Info:Square Root: Total cpu/real time for sqrt: 907.13/284.037
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.64106e+06/978043
Info:root: Cleaning up computation data in /tmp/cado.w_q4ra1h
66014321927296560828088854334103320260340659898978985402332902630375642304829920781807670993929 24372078837906245335314392157301244329350574540590668646645563200623602981
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
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 27, 2011 09:32:50 UTC 2011 年 3 月 27 日 (日) 18 時 32 分 50 秒 (日本時間)
403e61910110Ignacio SantosMarch 27, 2011 09:32:50 UTC 2011 年 3 月 27 日 (日) 18 時 32 分 50 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:27 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 27 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 11:59:56 UTC 2014 年 2 月 14 日 (金) 20 時 59 分 56 秒 (日本時間)
4511e6403932Ignacio SantosMarch 27, 2011 09:32:50 UTC 2011 年 3 月 27 日 (日) 18 時 32 分 50 秒 (日本時間)
600Dmitry DomanovMarch 26, 2014 08:28:48 UTC 2014 年 3 月 26 日 (水) 17 時 28 分 48 秒 (日本時間)
3407shunJanuary 18, 2019 09:38:14 UTC 2019 年 1 月 18 日 (金) 18 時 38 分 14 秒 (日本時間)

73×10191+539

c189

name 名前Robert Backstrom
date 日付March 6, 2010 12:19:56 UTC 2010 年 3 月 6 日 (土) 21 時 19 分 56 秒 (日本時間)
composite number 合成数
104215740859708481448170514083401144945536568304138649763730066955044470141476437249275486459091752680343198138392793410138906734049995003354890287949519608263023398575242337287821034448299<189>
prime factors 素因数
356497409626148009035811717922059857860225205614413<51>
292332393015134467877912781565918378554950706681993558926970638135740187194457678578338987000300901921376540830389783592574851533316113623<138>
factorization results 素因数分解の結果
Number: n
N=104215740859708481448170514083401144945536568304138649763730066955044470141476437249275486459091752680343198138392793410138906734049995003354890287949519608263023398575242337287821034448299
  ( 189 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Mar  6 23:15:33 2010  prp51 factor: 356497409626148009035811717922059857860225205614413
Sat Mar  6 23:15:33 2010  prp138 factor: 292332393015134467877912781565918378554950706681993558926970638135740187194457678578338987000300901921376540830389783592574851533316113623
Sat Mar  6 23:15:33 2010  elapsed time 09:31:30 (Msieve 1.42 - dependency 2)

Version: 
Total time: 16.04 hours.
Scaled time: 13.49 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_8_1_190_7
n: 104215740859708481448170514083401144945536568304138649763730066955044470141476437249275486459091752680343198138392793410138906734049995003354890287949519608263023398575242337287821034448299
m: 100000000000000000000000000000000000000
deg: 5
c5: 730
c0: 53
skew: 0.59
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10578637)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3212537 hash collisions in 26253064 relations
Msieve: matrix is 1874243 x 1874469 (503.4 MB)

Total sieving time: 16.04 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,56,56,2.5,2.5,100000
total time: 16.04 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: 2009648k/2031552k available (2382k kernel code, 21092k reserved, 681k data, 296k init, 1114048k 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).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10192+539

c167

name 名前Serge Batalov
date 日付March 5, 2010 06:40:36 UTC 2010 年 3 月 5 日 (金) 15 時 40 分 36 秒 (日本時間)
composite number 合成数
93974094597551283574276703469237724137974627053384230850287127824248319152014530693788279459243179710225617489447058102074423617404450177055709626670926878854088843899<167>
prime factors 素因数
3189889236329270001157252844333<31>
composite cofactor 合成数の残り
29459986737875243799532313446430631894691224036718778634483848781514769077873692953443912556230744269249558723621177890358913688979967303<137>
factorization results 素因数分解の結果
)
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=3682180613
Step 1 took 5380ms
********** Factor found in step 1: 3189889236329270001157252844333
Found probable prime factor of 31 digits: 3189889236329270001157252844333
Composite cofactor has 137 digits

c137

name 名前Eric Jeancolas
date 日付March 10, 2019 06:23:31 UTC 2019 年 3 月 10 日 (日) 15 時 23 分 31 秒 (日本時間)
composite number 合成数
29459986737875243799532313446430631894691224036718778634483848781514769077873692953443912556230744269249558723621177890358913688979967303<137>
prime factors 素因数
5317897989637714303931092524690408266341820684025481<52>
5539780340894095822323583249247800102067428762081818638953763783998105515035203402063<85>
factorization results 素因数分解の結果
7*23*536100638526559551706103*3189889236329270001157252844333*5317897989637714303931092524690408266341820684025481*5539780340894095822323583249247800102067428762081818638953763783998105515035203402063

EJ: Last lines of Log

Info:Lattice Sieving: Marking workunit c135_sieving_25360000-25370000 as ok (99.9% => ETA Sat Mar  9 20:33:04 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25430000-25440000 to client localhost+5
Info:Lattice Sieving: Adding workunit c135_sieving_25530000-25540000 to database
Info:Lattice Sieving: Found 12194 relations in '/tmp/cado.z3b1wc1a/c135.upload/c135.25370000-25380000.nzzak3hz.gz', total is now 19100088/19112516
Info:Lattice Sieving: Marking workunit c135_sieving_25370000-25380000 as ok (99.9% => ETA Sat Mar  9 20:32:16 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25440000-25450000 to client localhost+6
Info:Lattice Sieving: Adding workunit c135_sieving_25540000-25550000 to database
Info:Lattice Sieving: Found 11307 relations in '/tmp/cado.z3b1wc1a/c135.upload/c135.25380000-25390000.gmo48o7i.gz', total is now 19111395/19112516
Info:Lattice Sieving: Marking workunit c135_sieving_25380000-25390000 as ok (100.0% => ETA Sat Mar  9 20:31:46 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25450000-25460000 to client localhost+4
Info:Lattice Sieving: Adding workunit c135_sieving_25550000-25560000 to database
Info:Lattice Sieving: Found 12516 relations in '/tmp/cado.z3b1wc1a/c135.upload/c135.25390000-25400000.th55bnrf.gz', total is now 19123911/19112516
Info:Lattice Sieving: Marking workunit c135_sieving_25390000-25400000 as ok (100.1% => ETA Sat Mar  9 20:32:35 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25460000-25470000 to client localhost+2
Info:Lattice Sieving: Adding workunit c135_sieving_25560000-25570000 to database
Info:Lattice Sieving: Reached target of 19112516 relations, now have 19123911
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19123911
Info:Lattice Sieving: Average J: 3785.79 for 881635 special-q, max bucket fill: 0.651422
Info:Lattice Sieving: Total CPU time: 1.30309e+06s
Info:Filtering - Duplicate Removal, splitting pass: Starting
Info:Filtering - Duplicate Removal, splitting pass: Splitting 1474 new files
Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 9563011, 1: 9560900
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.65/158.64
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 158.5s
Info:Filtering - Duplicate Removal, removal pass: Starting
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25470000-25480000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25480000-25490000 to client localhost+3
Info:Filtering - Duplicate Removal, removal pass: 8232285 unique relations remain on slice 0
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25490000-25500000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25500000-25510000 to client localhost+6
Info:Filtering - Duplicate Removal, removal pass: 8231585 unique relations remain on slice 1
Info:Filtering - Duplicate Removal, removal pass: Of 19123911 newly added relations 16463870 were unique (ratio 0.860905)
Info:Filtering - Duplicate Removal, removal pass: 16463870 unique relations remain in total
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 374.89/244.517
Info:Filtering - Singleton removal: Starting
Info:Filtering - Singleton removal: Reading 16463870 unique and 63721 free relations, total 16527591
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25510000-25520000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c135_sieving_25520000-25530000 to client localhost+4
Info:Filtering - Singleton removal: After purge, 4848930 relations with 4848770 primes remain with weight 93053607 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 31259)
Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 31262)
Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 31265)
Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 31268)
Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 31271)
Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 31274)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 251.27/188.369
Info:Filtering - Merging: Starting
Info:Filtering - Merging: Merged matrix has 1317014 rows and total weight 223892869 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 575.85/519.002
Info:Filtering - Merging: Total cpu/real time for replay: 42.44/32.9074
Info:Linear Algebra: Starting
Info:Linear Algebra: krylov: N=1000 ; ETA (N=42000): Sat Mar  9 22:17:04 2019 [0.118 s/iter]
Info:Linear Algebra: krylov: N=2000 ; ETA (N=42000): Sat Mar  9 22:19:25 2019 [0.121 s/iter]
... EJ: many similar lines
Info:Linear Algebra: krylov: N=41000 ; ETA (N=42000): Sat Mar  9 22:23:40 2019 [0.127 s/iter]
Info:Linear Algebra: krylov: N=42000 ; ETA (N=42000): Sat Mar  9 22:23:42 2019 [0.127 s/iter]
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:23:54 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:49 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:44 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:47 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:47 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:47 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:45 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:44 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:44 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:43 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:41 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:42 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:43 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:43 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:43 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:43 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:43 2019
Info:Linear Algebra: lingen ETA: Sat Mar  9 22:24:38 2019
Info:Linear Algebra: mksol: N=1000 ; ETA (N=21000): Sat Mar  9 23:11:48 2019 [0.135 s/iter]
Info:Linear Algebra: mksol: N=2000 ; ETA (N=21000): Sat Mar  9 23:12:12 2019 [0.136 s/iter]
Info:Linear Algebra: mksol: N=3000 ; ETA (N=21000): Sat Mar  9 23:12:18 2019 [0.137 s/iter]
Info:Linear Algebra: mksol: N=4000 ; ETA (N=21000): Sat Mar  9 23:12:29 2019 [0.137 s/iter]
Info:Linear Algebra: mksol: N=5000 ; ETA (N=21000): Sat Mar  9 23:12:32 2019 [0.137 s/iter]
Info:Linear Algebra: mksol: N=6000 ; ETA (N=21000): Sat Mar  9 23:12:36 2019 [0.137 s/iter]
Info:Linear Algebra: mksol: N=7000 ; ETA (N=21000): Sat Mar  9 23:12:38 2019 [0.137 s/iter]
Info:Linear Algebra: mksol: N=8000 ; ETA (N=21000): Sat Mar  9 23:12:39 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=9000 ; ETA (N=21000): Sat Mar  9 23:12:39 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=10000 ; ETA (N=21000): Sat Mar  9 23:12:40 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=11000 ; ETA (N=21000): Sat Mar  9 23:12:41 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=12000 ; ETA (N=21000): Sat Mar  9 23:12:41 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=13000 ; ETA (N=21000): Sat Mar  9 23:12:43 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=14000 ; ETA (N=21000): Sat Mar  9 23:12:44 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=15000 ; ETA (N=21000): Sat Mar  9 23:12:44 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=16000 ; ETA (N=21000): Sat Mar  9 23:12:44 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=17000 ; ETA (N=21000): Sat Mar  9 23:12:45 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=18000 ; ETA (N=21000): Sat Mar  9 23:12:45 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=19000 ; ETA (N=21000): Sat Mar  9 23:12:46 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=20000 ; ETA (N=21000): Sat Mar  9 23:12:47 2019 [0.138 s/iter]
Info:Linear Algebra: mksol: N=21000 ; ETA (N=21000): Sat Mar  9 23:12:43 2019 [0.138 s/iter]
Info:Linear Algebra: Total cpu/real time for bwc: 89826.2/0.000172138
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 5334.79
Info:Linear Algebra: Lingen CPU time 416.98, WCT time 48.63
Info:Linear Algebra: Mksol: WCT time 2892.81
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 48.97/11.4028
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 5317897989637714303931092524690408266341820684025481 5539780340894095822323583249247800102067428762081818638953763783998105515035203402063
Info:Square Root: Total cpu/real time for sqrt: 2755.24/397.245
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36525/40.640/49.076/54.390/0.970
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36525/39.790/44.156/49.720/1.479
Info:Polynomial Selection (size optimized): Total time: 14502.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6239.83
Info:Polynomial Selection (root optimized): Rootsieve time: 6237.84
Info:Generate Factor Base: Total cpu/real time for makefb: 18.61/1.98127
Info:Generate Free Relations: Total cpu/real time for freerel: 298.08/26.6136
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19123911
Info:Lattice Sieving: Average J: 3785.79 for 881635 special-q, max bucket fill: 0.651422
Info:Lattice Sieving: Total CPU time: 1.30309e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.65/158.64
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 158.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 374.89/244.517
Info:Filtering - Singleton removal: Total cpu/real time for purge: 251.27/188.369
Info:Filtering - Merging: Total cpu/real time for merge: 575.85/519.002
Info:Filtering - Merging: Total cpu/real time for replay: 42.44/32.9074
Info:Linear Algebra: Total cpu/real time for bwc: 89826.2/0.000172138
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 5334.79
Info:Linear Algebra: Lingen CPU time 416.98, WCT time 48.63
Info:Linear Algebra: Mksol: WCT time 2892.81
Info:Quadratic Characters: Total cpu/real time for characters: 48.97/11.4028
Info:Square Root: Total cpu/real time for sqrt: 2755.24/397.245
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.41811e+06/125820
Info:root: Cleaning up computation data in /tmp/cado.z3b1wc1a
5317897989637714303931092524690408266341820684025481 5539780340894095822323583249247800102067428762081818638953763783998105515035203402063
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
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 27, 2011 09:33:20 UTC 2011 年 3 月 27 日 (日) 18 時 33 分 20 秒 (日本時間)
403e61910110Ignacio SantosMarch 27, 2011 09:33:20 UTC 2011 年 3 月 27 日 (日) 18 時 33 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:28 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 28 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:00:09 UTC 2014 年 2 月 14 日 (金) 21 時 0 分 9 秒 (日本時間)
4511e6632 / 403932Ignacio SantosMarch 27, 2011 09:33:20 UTC 2011 年 3 月 27 日 (日) 18 時 33 分 20 秒 (日本時間)
600Dmitry DomanovMarch 26, 2014 08:29:02 UTC 2014 年 3 月 26 日 (水) 17 時 29 分 2 秒 (日本時間)

73×10193+539

c149

name 名前Serge Batalov
date 日付March 5, 2010 05:56:04 UTC 2010 年 3 月 5 日 (金) 14 時 56 分 4 秒 (日本時間)
composite number 合成数
15380755178748624309038000034467861520248727196725241843147950618847410750131916322780618393385375198529938877522008045907210196570315910800590402227<149>
prime factors 素因数
75695634409939456797914055920563<32>
203192103463353828169867503501187033687655229886278526966431937099837521585241357554423002086963578191103390813699329<117>
factorization results 素因数分解の結果
Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=180958772
Step 1 took 4472ms
Step 2 took 2956ms
********** Factor found in step 2: 75695634409939456797914055920563
Found probable prime factor of 32 digits: 75695634409939456797914055920563
Probable prime cofactor has 117 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10195+539

c177

name 名前Ignacio Santos
date 日付March 27, 2011 09:32:17 UTC 2011 年 3 月 27 日 (日) 18 時 32 分 17 秒 (日本時間)
composite number 合成数
844596215988588828620617130649561837097570284697186357161556764392414043638863503214632788285281714026624278033451185696790895770287026373505640058928867176773865752551611287873<177>
prime factors 素因数
15085296440155541141333743873729726661<38>
composite cofactor 合成数の残り
55988042352310604286149298179472205717375871806921287891832047902566094941448494010759744584849546295188863217405657817454097415901185404493<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2168359295
Step 1 took 114317ms
Step 2 took 52011ms
********** Factor found in step 2: 15085296440155541141333743873729726661
Found probable prime factor of 38 digits: 15085296440155541141333743873729726661
Composite cofactor 55988042352310604286149298179472205717375871806921287891832047902566094941448494010759744584849546295188863217405657817454097415901185404493 has 140 digits
software ソフトウェア
GMP-ECM 6.3

c140

name 名前Eric Jeancolas
date 日付January 25, 2020 06:54:21 UTC 2020 年 1 月 25 日 (土) 15 時 54 分 21 秒 (日本時間)
composite number 合成数
55988042352310604286149298179472205717375871806921287891832047902566094941448494010759744584849546295188863217405657817454097415901185404493<140>
prime factors 素因数
43267838091880892740801907188717323196808949590083712748877<59>
1293987516395385322564262398192093072683396078176543397170953007348314098877719809<82>
factorization results 素因数分解の結果
55988042352310604286149298179472205717375871806921287891832047902566094941448494010759744584849546295188863217405657817454097415901185404493=43267838091880892740801907188717323196808949590083712748877*1293987516395385322564262398192093072683396078176543397170953007348314098877719809

Info:Square Root: Factors: 1293987516395385322564262398192093072683396078176543397170953007348314098877719809 43267838091880892740801907188717323196808949590083712748877
Info:Square Root: Total cpu/real time for sqrt: 5407.65/775.077
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): 66684/40.990/50.320/55.870/0.958
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66684/40.870/45.086/51.110/1.285
Info:Polynomial Selection (size optimized): Total time: 49057.8
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9011.64
Info:Polynomial Selection (root optimized): Rootsieve time: 9009.24
Info:Generate Factor Base: Total cpu/real time for makefb: 25.14/15.3548
Info:Generate Free Relations: Total cpu/real time for freerel: 934.61/521.59
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32448097
Info:Lattice Sieving: Average J: 3787.32 for 764677 special-q, max bucket fill -bkmult 1.0,1s:1.130380
Info:Lattice Sieving: Total time: 1.14329e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 151.64/364.224
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 364.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 712.82/595.167
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 568.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 311.59/333.563
Info:Filtering - Merging: Total cpu/real time for merge: 1261.37/1115.62
Info:Filtering - Merging: Total cpu/real time for replay: 102.61/80.5493
Info:Linear Algebra: Total cpu/real time for bwc: 148502/30190.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 20433.49, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (59000 iterations)
Info:Linear Algebra: Lingen CPU time 697.48, WCT time 149.84
Info:Linear Algebra: Mksol: WCT time 9167.84, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (30000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 83.3/19.6848
Info:Square Root: Total cpu/real time for sqrt: 5407.65/775.077
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.30494e+06/234678
Info:root: Cleaning up computation data in /tmp/cado.od316ckw
1293987516395385322564262398192093072683396078176543397170953007348314098877719809 43267838091880892740801907188717323196808949590083712748877
software ソフトウェア
cado-nfs-3.0.0
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
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 18, 2011 11:52:23 UTC 2011 年 4 月 18 日 (月) 20 時 52 分 23 秒 (日本時間)
403e61910110Ignacio SantosApril 18, 2011 11:52:23 UTC 2011 年 4 月 18 日 (月) 20 時 52 分 23 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:28 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 28 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:00:24 UTC 2014 年 2 月 14 日 (金) 21 時 0 分 24 秒 (日本時間)
4511e6632 / 403932Ignacio SantosApril 18, 2011 11:52:23 UTC 2011 年 4 月 18 日 (月) 20 時 52 分 23 秒 (日本時間)
600Dmitry DomanovMarch 26, 2014 08:29:16 UTC 2014 年 3 月 26 日 (水) 17 時 29 分 16 秒 (日本時間)

73×10197+539

c186

name 名前matsui
date 日付October 31, 2010 07:38:37 UTC 2010 年 10 月 31 日 (日) 16 時 38 分 37 秒 (日本時間)
composite number 合成数
137460430922807736194853823079790961219061414635010078025355252470764054078860899612888047738984140571234732297396231095587671240724283937318237560262311094129015212204837290299629679417<186>
prime factors 素因数
3004063137828015611286376480353160840677825583135053512856018306551219800861<76>
45758169724153589691801149204769613764215945874623302839610683881263453455861694437491262637472860175453761997<110>
factorization results 素因数分解の結果
N=137460430922807736194853823079790961219061414635010078025355252470764054078860899612888047738984140571234732297396231095587671240724283937318237560262311094129015212204837290299629679417
  ( 186 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=3004063137828015611286376480353160840677825583135053512856018306551219800861 (pp76)
 r2=45758169724153589691801149204769613764215945874623302839610683881263453455861694437491262637472860175453761997 (pp110)
Version: Msieve v. 1.48
Total time:
Scaled time: 201.12 units (timescale=1.738).
Factorization parameters were as follows:
n: 137460430922807736194853823079790961219061414635010078025355252470764054078860899612888047738984140571234732297396231095587671240724283937318237560262311094129015212204837290299629679417
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7300
c0: 53
skew: 0.37
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7200000, 20200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2807200 x 2807424
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10198+539

c199

name 名前Dmitry Domanov
date 日付April 12, 2010 21:50:25 UTC 2010 年 4 月 13 日 (火) 6 時 50 分 25 秒 (日本時間)
composite number 合成数
1158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731<199>
prime factors 素因数
1474314204582441121560966966847379159525853599903543632140282943438409<70>
785945190739267904237801708182742885793680395063859588291133674392161518247841561952994481695367396508860527985091188551011281459<129>
factorization results 素因数分解の結果
Number: s199
N=1158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731
  ( 199 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=1474314204582441121560966966847379159525853599903543632140282943438409 (pp70)
 r2=785945190739267904237801708182742885793680395063859588291133674392161518247841561952994481695367396508860527985091188551011281459 (pp129)
Version: Msieve-1.40
Total time: 976.48 hours.
Scaled time: 1849.45 units (timescale=1.894).
Factorization parameters were as follows:
n: 1158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731
m: 1000000000000000000000000000000000000000
deg: 5
c5: 73000
c0: 53
skew: 0.24
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7500000, 22500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3040227 x 3040453
Total sieving time: 960.12 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 13.93 hours.
Time per square root: 2.12 hours.
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 976.48 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
3025e40--
351e6118 / 904Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)

73×10199+539

c175

name 名前Ignacio Santos
date 日付March 27, 2011 10:55:07 UTC 2011 年 3 月 27 日 (日) 19 時 55 分 7 秒 (日本時間)
composite number 合成数
8218571208915263361466285877528662177864013186261975385168137030398360676886649015124321561866074716748751869664341536249892684429313847044884989373995872537199281304613609799<175>
prime factors 素因数
313915317877422142901615311141<30>
composite cofactor 合成数の残り
26180854328760268978306717491342558362472315748180889032259296703748275507371427520691861348524108962920712975088930234444805432943652341196313339<146>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3187340288
Step 1 took 10811ms
Step 2 took 7410ms
********** Factor found in step 2: 313915317877422142901615311141
Found probable prime factor of 30 digits: 313915317877422142901615311141
Composite cofactor 26180854328760268978306717491342558362472315748180889032259296703748275507371427520691861348524108962920712975088930234444805432943652341196313339 has 146 digits
software ソフトウェア
GMP-ECM 6.3

c146

name 名前Eric Jeancolas
date 日付August 26, 2021 02:41:37 UTC 2021 年 8 月 26 日 (木) 11 時 41 分 37 秒 (日本時間)
composite number 合成数
26180854328760268978306717491342558362472315748180889032259296703748275507371427520691861348524108962920712975088930234444805432943652341196313339<146>
prime factors 素因数
21466569272774936121744611644966180525763294718526495817<56>
1219610548666676983748451152634454055135553529352271243860246207969402590549787169639320867<91>
factorization results 素因数分解の結果
26180854328760268978306717491342558362472315748180889032259296703748275507371427520691861348524108962920712975088930234444805432943652341196313339=21466569272774936121744611644966180525763294718526495817*1219610548666676983748451152634454055135553529352271243860246207969402590549787169639320867

cado polynomial
n: 26180854328760268978306717491342558362472315748180889032259296703748275507371427520691861348524108962920712975088930234444805432943652341196313339
skew: 1.35
type: snfs
c0: 265
c5: 1168
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 265*x^5+1168
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15600000
tasks.lim1 = 15600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1219610548666676983748451152634454055135553529352271243860246207969402590549787169639320867 21466569272774936121744611644966180525763294718526495817
Info:Square Root: Total cpu/real time for sqrt: 2632.39/801.883
Info:Generate Free Relations: Total cpu/real time for freerel: 238.96/62.043
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 235.12/291.16
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 290.4s
Info:Linear Algebra: Total cpu/real time for bwc: 133442/34181.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5352.61, WCT time 1376.0, iteration CPU time 0.42, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (135168 iterations)
Info:Linear Algebra: Lingen CPU time 1062.7, WCT time 269.18
Info:Linear Algebra: Mksol: CPU time 127014.13,  WCT time 32432.11, iteration CPU time 0.46, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (67584 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.6/2.93138
Info:Square Root: Total cpu/real time for sqrt: 2632.39/801.883
Info:Filtering - Merging: Merged matrix has 4316285 rows and total weight 733902705 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1256.26/346.566
Info:Filtering - Merging: Total cpu/real time for replay: 175.14/154.228
Info:Filtering - Singleton removal: Total cpu/real time for purge: 756.48/886.585
Info:Quadratic Characters: Total cpu/real time for characters: 156.43/65.8621
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1018.84/1039.23
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 845.0999999999999s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 53791173
Info:Lattice Sieving: Average J: 1894.08 for 7887525 special-q, max bucket fill -bkmult 1.0,1s:1.133800
Info:Lattice Sieving: Total time: 2.00726e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.91722e+06/35054.9
1219610548666676983748451152634454055135553529352271243860246207969402590549787169639320867 21466569272774936121744611644966180525763294718526495817
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
351e6418118Makoto KamadaMarch 4, 2010 13:00:00 UTC 2010 年 3 月 4 日 (木) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 18, 2011 11:53:06 UTC 2011 年 4 月 18 日 (月) 20 時 53 分 6 秒 (日本時間)
403e61910110Ignacio SantosApril 18, 2011 11:53:06 UTC 2011 年 4 月 18 日 (月) 20 時 53 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:29 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 29 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:00:36 UTC 2014 年 2 月 14 日 (金) 21 時 0 分 36 秒 (日本時間)
4511e663232Ignacio SantosApril 18, 2011 11:53:06 UTC 2011 年 4 月 18 日 (月) 20 時 53 分 6 秒 (日本時間)
600Dmitry DomanovMarch 26, 2014 08:29:29 UTC 2014 年 3 月 26 日 (水) 17 時 29 分 29 秒 (日本時間)
5043e61200 / 7337yoyo@HomeJune 26, 2021 22:05:52 UTC 2021 年 6 月 27 日 (日) 7 時 5 分 52 秒 (日本時間)

73×10202+539

c174

name 名前Bob Backstrom
date 日付November 19, 2021 12:19:38 UTC 2021 年 11 月 19 日 (金) 21 時 19 分 38 秒 (日本時間)
composite number 合成数
445202446325811581494381150323947491715073241353753039447511630144369865776439651924509518870025124461266864956861437285246222597358797306937271344503901289477919222611360553<174>
prime factors 素因数
748376024880607112183470654236371773866038642017530141690085617412647150336029<78>
594891380167927455064839661906113461362925133616988101341805279397243410138531529375104857676157<96>
factorization results 素因数分解の結果
Number: n
N=445202446325811581494381150323947491715073241353753039447511630144369865776439651924509518870025124461266864956861437285246222597358797306937271344503901289477919222611360553  ( 174 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Nov 19 22:45:57 2021  p78 factor: 748376024880607112183470654236371773866038642017530141690085617412647150336029
Fri Nov 19 22:45:57 2021  p96 factor: 594891380167927455064839661906113461362925133616988101341805279397243410138531529375104857676157
Fri Nov 19 22:45:57 2021  elapsed time 02:20:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 73x10^202+53 = 81(201)7
#
n: 445202446325811581494381150323947491715073241353753039447511630144369865776439651924509518870025124461266864956861437285246222597358797306937271344503901289477919222611360553
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7300
c0: 53
skew: 0.37
# Murphy_E = 6.552e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10771767 hash collisions in 63825973 relations (55026772 unique)
Msieve: matrix is 2493099 x 2493324 (862.3 MB)

Sieving start time : 2021/11/19 01:41:35
Sieving end time  : 2021/11/19 20:24:33

Total sieving time: 18hrs 42min 58secs.

Total relation processing time: 2hrs 1min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 28sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:33 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 33 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:05:30 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:14:33 UTC 2014 年 2 月 25 日 (火) 15 時 14 分 33 秒 (日本時間)
4511e6600 / 4040Dmitry DomanovMarch 26, 2014 08:29:42 UTC 2014 年 3 月 26 日 (水) 17 時 29 分 42 秒 (日本時間)

73×10203+539

c149

composite cofactor 合成数の残り
19361437440069207224947850332294263769928603408502337879387006955500892115929554601926961029755993538769697395717157782387441319098307913834887069931<149>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 04:42:45 UTC 2014 年 1 月 2 日 (木) 13 時 42 分 45 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:30 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 30 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:00:50 UTC 2014 年 2 月 14 日 (金) 21 時 0 分 50 秒 (日本時間)
4511e6600 / 4013Dmitry DomanovMarch 26, 2014 08:29:56 UTC 2014 年 3 月 26 日 (水) 17 時 29 分 56 秒 (日本時間)

73×10204+539

c205

name 名前Bob Backstrom
date 日付July 7, 2020 06:52:14 UTC 2020 年 7 月 7 日 (火) 15 時 52 分 14 秒 (日本時間)
composite number 合成数
1158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731<205>
prime factors 素因数
147601965627905198267862232230768915219271368382501111628917<60>
7850370784703781593375596075316013859450652745064743270350306492872814509901991864549255582521523935578216640032457482832177593622458114094770943<145>
factorization results 素因数分解の結果
Number: n
N=1158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731  ( 205 digits)
SNFS difficulty: 205 digits.
Divisors found:

Tue Jul  7 16:46:03 2020  p60 factor: 147601965627905198267862232230768915219271368382501111628917
Tue Jul  7 16:46:03 2020  p145 factor: 7850370784703781593375596075316013859450652745064743270350306492872814509901991864549255582521523935578216640032457482832177593622458114094770943
Tue Jul  7 16:46:03 2020  elapsed time 02:15:25 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 73x10^204+53 = 81(203)7
#
n: 1158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731
m: 10000000000000000000000000000000000
deg: 6
c6: 73
c0: 53
skew: 0.95
# Murphy_E = 8.558e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10487604 hash collisions in 71763495 relations (63203282 unique)
Msieve: matrix is 2246357 x 2246588 (772.4 MB)

Sieving start time: 2020/07/06 17:12:59
Sieving end time  : 2020/07/07 14:29:28

Total sieving time: 21hrs 16min 29secs.

Total relation processing time: 1hrs 47min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 52sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.150655] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283140K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420320K reserved, 0K cma-reserved)
[    0.184724] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.65 BogoMIPS (lpj=11977304)
[    0.182225] smpboot: Total of 16 processors activated (95818.43 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:31:51 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 51 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:31:51 UTC 2013 年 12 月 5 日 (木) 2 時 31 分 51 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:15 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 15 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:25:56 UTC 2014 年 5 月 24 日 (土) 12 時 25 分 56 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:17 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 17 秒 (日本時間)
5043e6500 / 6813Serge BatalovJanuary 4, 2014 23:01:11 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 11 秒 (日本時間)

73×10205+539

c154

name 名前Serge Batalov
date 日付November 26, 2013 23:20:50 UTC 2013 年 11 月 27 日 (水) 8 時 20 分 50 秒 (日本時間)
composite number 合成数
5246824774328795479233264924578609043483586455956554772149776576129618410226437971848736122426808589635232914264147612848395179955688553434448107406377227<154>
prime factors 素因数
1415221214605434911857418727313<31>
composite cofactor 合成数の残り
3707423772467695424420896874939032264429874881710952814168783743758740535307170528915067661562366303656062330065279403151579<124>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2166453898
Step 1 took 3106ms
Step 2 took 1806ms
********** Factor found in step 2: 1415221214605434911857418727313
Found probable prime factor of 31 digits: 1415221214605434911857418727313
Composite cofactor

c124

name 名前Cyp
date 日付December 26, 2013 08:28:31 UTC 2013 年 12 月 26 日 (木) 17 時 28 分 31 秒 (日本時間)
composite number 合成数
3707423772467695424420896874939032264429874881710952814168783743758740535307170528915067661562366303656062330065279403151579<124>
prime factors 素因数
659935465386671727934991067426602703744685912979<48>
5617858058735225786897560629199444005880991058213997892484563420835455093401<76>
factorization results 素因数分解の結果
12/23/13 22:43:53 v1.34.3, nfs: commencing nfs on c124: 3707423772467695424420896874939032264429874881710952814168783743758740535307170528915067661562366303656062330065279403151579
12/23/13 22:43:53 v1.34.3, nfs: commencing poly selection with 1 threads
12/23/13 22:43:53 v1.34.3, nfs: setting deadline of 24564 seconds
12/24/13 05:22:09 v1.34.3, nfs: completed 39 ranges of size 250 in 23896.2138 seconds
12/24/13 05:22:09 v1.34.3, nfs: best poly = # norm 8.053935e-12 alpha -6.569044 e 1.756e-10 rroots 5
12/24/13 05:22:09 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/24/13 06:12:54 v1.34.3, nfs: commencing lattice sieving with 1 threads
[55 lines omitted]
12/26/13 00:51:57 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 01:34:02 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 02:16:51 v1.34.3, nfs: commencing msieve filtering
12/26/13 02:19:04 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 03:02:09 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 03:43:28 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 04:27:03 v1.34.3, nfs: commencing msieve filtering
12/26/13 04:29:55 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 05:12:48 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 05:56:57 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 06:40:51 v1.34.3, nfs: commencing lattice sieving with 1 threads
12/26/13 07:25:34 v1.34.3, nfs: commencing msieve filtering
12/26/13 07:28:46 v1.34.3, nfs: commencing msieve linear algebra
12/26/13 09:08:36 v1.34.3, nfs: commencing msieve sqrt
12/26/13 09:17:12 v1.34.3, prp76 = 5617858058735225786897560629199444005880991058213997892484563420835455093401
12/26/13 09:17:12 v1.34.3, prp48 = 659935465386671727934991067426602703744685912979
12/26/13 09:17:12 v1.34.3, NFS elapsed time = 210799.6065 seconds.
12/26/13 09:17:12 v1.34.3, 
12/26/13 09:17:12 v1.34.3, 
software ソフトウェア
yafu 1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 3, 2013 21:40:35 UTC 2013 年 12 月 4 日 (水) 6 時 40 分 35 秒 (日本時間)
403e6110Ignacio SantosDecember 3, 2013 21:40:35 UTC 2013 年 12 月 4 日 (水) 6 時 40 分 35 秒 (日本時間)
4511e6722 / 443732Ignacio SantosDecember 3, 2013 21:40:35 UTC 2013 年 12 月 4 日 (水) 6 時 40 分 35 秒 (日本時間)
230Ignacio SantosDecember 21, 2013 23:34:42 UTC 2013 年 12 月 22 日 (日) 8 時 34 分 42 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 12:41:56 UTC 2013 年 12 月 22 日 (日) 21 時 41 分 56 秒 (日本時間)
230Ignacio SantosDecember 22, 2013 23:03:40 UTC 2013 年 12 月 23 日 (月) 8 時 3 分 40 秒 (日本時間)

73×10206+539

c156

composite cofactor 合成数の残り
124871718402507395482832473446331940002733160009148358794665355433519400146737499626289138965185012196444394514715400263559001031605670597474198212078189847<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6209062CypJanuary 1, 2014 00:34:32 UTC 2014 年 1 月 1 日 (水) 9 時 34 分 32 秒 (日本時間)
228CypJanuary 3, 2014 10:57:01 UTC 2014 年 1 月 3 日 (金) 19 時 57 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:31 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 31 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:01:03 UTC 2014 年 2 月 14 日 (金) 21 時 1 分 3 秒 (日本時間)
4511e6600 / 4013Dmitry DomanovMarch 26, 2014 08:30:15 UTC 2014 年 3 月 26 日 (水) 17 時 30 分 15 秒 (日本時間)

73×10207+539

c169

name 名前Serge Batalov
date 日付November 26, 2013 23:20:20 UTC 2013 年 11 月 27 日 (水) 8 時 20 分 20 秒 (日本時間)
composite number 合成数
2756265885686494965908018746048183161567639681269054484189457326602194067982477879544917849319695280282877865866062795328118895799112526214503728488629116434546637720833<169>
prime factors 素因数
71725458188308801288548157493<29>
38427999699216481916809424730409453673360647063369735334212520172401015168467075667187265443065788513051061248909711125780203860753228612381<140>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=692324754
Step 1 took 3855ms
Step 2 took 2397ms
********** Factor found in step 2: 71725458188308801288548157493
Found probable prime factor of 29 digits: 71725458188308801288548157493
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

73×10209+539

c175

composite cofactor 合成数の残り
1848686015112433825780774631023526889927792345637165003126648068092298884881080410869087634399221507430379076809756527123792715345365500664761402698802062009426796224227615711<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:33 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 33 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:05:31 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 31 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:15:01 UTC 2014 年 2 月 25 日 (火) 15 時 15 分 1 秒 (日本時間)
4511e61000 / 4040Dmitry DomanovMarch 31, 2014 11:17:13 UTC 2014 年 3 月 31 日 (月) 20 時 17 分 13 秒 (日本時間)

73×10211+539

c188

name 名前Serge Batalov
date 日付November 26, 2013 23:29:05 UTC 2013 年 11 月 27 日 (水) 8 時 29 分 5 秒 (日本時間)
composite number 合成数
15894633014283824923482075577574173244907478959149270135687822898990333657323373959398204863831347650285599416203888707502894842218950070891071656233873027156321243664566529707386808623529<188>
prime factors 素因数
1329462933636268209954451344258851<34>
11955679705044327098034826325834513246498549746523934449848028567007895311173452252308626742245969161758417219661800158360590853444775289612852705843869379<155>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4294177164
Step 1 took 4564ms
Step 2 took 2327ms
********** Factor found in step 2: 1329462933636268209954451344258851
Found probable prime factor of 34 digits: 1329462933636268209954451344258851
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

73×10212+539

c118

name 名前Serge Batalov
date 日付November 26, 2013 23:21:15 UTC 2013 年 11 月 27 日 (水) 8 時 21 分 15 秒 (日本時間)
composite number 合成数
2084596991164490021326126297499134449180335190898495187812277666759142046147267768798150752193114835580958647487587961<118>
prime factors 素因数
55580300159713595359926717916943<32>
37506040542679068636543437867711342352857095572191165345622338340392809196623555713527<86>
factorization results 素因数分解の結果
Input number is 2084596991164490021326126297499134449180335190898495187812277666759142046147267768798150752193114835580958647487587961 (118 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=513610029
Step 1 took 2545ms
Step 2 took 1503ms
********** Factor found in step 2: 55580300159713595359926717916943
Found probable prime factor of 32 digits: 55580300159713595359926717916943
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

73×10215+539

c212

name 名前Bob Backstrom
date 日付September 30, 2017 07:04:22 UTC 2017 年 9 月 30 日 (土) 16 時 4 分 22 秒 (日本時間)
composite number 合成数
36279962030286313508570519797428595567880802930228166172165814336051845556698622852400192830483119877940292128242210990343566270568999020938010963506334083781863000899544264038605855486474531963640520244715798681<212>
prime factors 素因数
17179826605897432515822417114567584846293541<44>
271688299871335820761125869206746910783450287679<48>
30333206535446982742898736801859690160489162484121628879<56>
256246999828833861975799183354475392163555775826022192551210283701<66>
factorization results 素因数分解の結果
Number: n
N=36279962030286313508570519797428595567880802930228166172165814336051845556698622852400192830483119877940292128242210990343566270568999020938010963506334083781863000899544264038605855486474531963640520244715798681
  ( 212 digits)
SNFS difficulty: 217 digits.
Divisors found:

Sat Sep 30 16:42:09 2017  found factor: 4667557882640615124874549747229023965370264618692733592961548383531251004225225693329581339
Sat Sep 30 16:52:35 2017  p44 factor: 17179826605897432515822417114567584846293541
Sat Sep 30 16:52:35 2017  p48 factor: 271688299871335820761125869206746910783450287679
Sat Sep 30 16:52:35 2017  p56 factor: 30333206535446982742898736801859690160489162484121628879
Sat Sep 30 16:52:35 2017  p66 factor: 256246999828833861975799183354475392163555775826022192551210283701
Sat Sep 30 16:52:35 2017  elapsed time 06:00:00 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.705).
Factorization parameters were as follows:
#
# 73x10^215+53 81(214)7
#
n: 36279962030286313508570519797428595567880802930228166172165814336051845556698622852400192830483119877940292128242210990343566270568999020938010963506334083781863000899544264038605855486474531963640520244715798681
m: 1000000000000000000000000000000000000
deg: 6
c6: 73
c0: 530
skew: 1.39
# Murphy_E = 2.256e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 68600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13725866 hash collisions in 70588634 relations (58913568 unique)
Msieve: matrix is 3952366 x 3952592 (1132.5 MB)

Sieving start time: 2017/09/28 20:44:42
Sieving end time  : 2017/09/30 10:50:37

Total sieving time: 38hrs 5min 55secs.

Total relation processing time: 5hrs 23min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 13sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

msieve.log:

Sat Sep 30 10:52:35 2017
Sat Sep 30 10:52:35 2017
Sat Sep 30 10:52:35 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Sep 30 10:52:35 2017  random seeds: cbab03c2 8e0ff4ac
Sat Sep 30 10:52:35 2017  factoring 36279962030286313508570519797428595567880802930228166172165814336051845556698622852400192830483119877940292128242210990343566270568999020938010963506334083781863000899544264038605855486474531963640520244715798681 (212 digits)
Sat Sep 30 10:52:36 2017  no P-1/P+1/ECM available, skipping
Sat Sep 30 10:52:36 2017  commencing number field sieve (212-digit input)
Sat Sep 30 10:52:36 2017  R0: -1000000000000000000000000000000000000
Sat Sep 30 10:52:36 2017  R1: 1
Sat Sep 30 10:52:36 2017  A0: 530
Sat Sep 30 10:52:36 2017  A1: 0
Sat Sep 30 10:52:36 2017  A2: 0
Sat Sep 30 10:52:36 2017  A3: 0
Sat Sep 30 10:52:36 2017  A4: 0
Sat Sep 30 10:52:36 2017  A5: 0
Sat Sep 30 10:52:36 2017  A6: 73
Sat Sep 30 10:52:36 2017  skew 1.00, size 5.651e-11, alpha -0.596, combined = 2.220e-12 rroots = 0
Sat Sep 30 10:52:36 2017
Sat Sep 30 10:52:36 2017  commencing relation filtering
Sat Sep 30 10:52:36 2017  estimated available RAM is 16036.8 MB
Sat Sep 30 10:52:36 2017  commencing duplicate removal, pass 1
Sat Sep 30 10:52:57 2017  error -5 reading relation 2999163
Sat Sep 30 10:53:07 2017  error -5 reading relation 4508774
Sat Sep 30 10:53:17 2017  error -15 reading relation 6002012
Sat Sep 30 10:53:36 2017  error -1 reading relation 8997775
Sat Sep 30 10:53:46 2017  error -5 reading relation 10487768
Sat Sep 30 10:53:56 2017  error -15 reading relation 11976527
Sat Sep 30 10:54:06 2017  error -15 reading relation 13564719
Sat Sep 30 10:54:17 2017  error -15 reading relation 15150903
Sat Sep 30 10:54:27 2017  error -15 reading relation 16731498
Sat Sep 30 10:54:57 2017  error -11 reading relation 21467928
Sat Sep 30 10:55:07 2017  error -9 reading relation 23040610
Sat Sep 30 10:55:54 2017  error -9 reading relation 30268305
Sat Sep 30 10:56:01 2017  error -5 reading relation 31393890
Sat Sep 30 10:56:16 2017  error -11 reading relation 33644744
Sat Sep 30 10:56:25 2017  error -1 reading relation 35028579
Sat Sep 30 10:56:33 2017  error -15 reading relation 36410687
Sat Sep 30 10:56:42 2017  error -15 reading relation 37793899
Sat Sep 30 10:57:27 2017  error -11 reading relation 44694192
Sat Sep 30 10:59:51 2017  error -9 reading relation 67177902
Sat Sep 30 11:00:02 2017  error -15 reading relation 68881798
Sat Sep 30 11:00:13 2017  skipped 3 relations with b > 2^32
Sat Sep 30 11:00:13 2017  skipped 19 relations with composite factors
Sat Sep 30 11:00:13 2017  found 13725866 hash collisions in 70588634 relations
Sat Sep 30 11:00:25 2017  added 1218548 free relations
Sat Sep 30 11:00:25 2017  commencing duplicate removal, pass 2
Sat Sep 30 11:00:53 2017  found 12893614 duplicates and 58913568 unique relations
Sat Sep 30 11:00:53 2017  memory use: 362.4 MB
Sat Sep 30 11:00:53 2017  reading ideals above 720000
Sat Sep 30 11:00:53 2017  commencing singleton removal, initial pass
Sat Sep 30 11:06:58 2017  memory use: 1378.0 MB
Sat Sep 30 11:06:58 2017  reading all ideals from disk
Sat Sep 30 11:06:59 2017  memory use: 2122.9 MB
Sat Sep 30 11:07:03 2017  keeping 48952492 ideals with weight <= 200, target excess is 317278
Sat Sep 30 11:07:07 2017  commencing in-memory singleton removal
Sat Sep 30 11:07:11 2017  begin with 58913568 relations and 48952492 unique ideals
Sat Sep 30 11:07:44 2017  reduce to 43791864 relations and 32636496 ideals in 10 passes
Sat Sep 30 11:07:44 2017  max relations containing the same ideal: 175
Sat Sep 30 11:07:59 2017  removing 6704326 relations and 4704326 ideals in 2000000 cliques
Sat Sep 30 11:08:01 2017  commencing in-memory singleton removal
Sat Sep 30 11:08:03 2017  begin with 37087538 relations and 32636496 unique ideals
Sat Sep 30 11:08:23 2017  reduce to 36229238 relations and 27024551 ideals in 8 passes
Sat Sep 30 11:08:23 2017  max relations containing the same ideal: 160
Sat Sep 30 11:08:36 2017  removing 5576117 relations and 3576117 ideals in 2000000 cliques
Sat Sep 30 11:08:37 2017  commencing in-memory singleton removal
Sat Sep 30 11:08:39 2017  begin with 30653121 relations and 27024551 unique ideals
Sat Sep 30 11:08:53 2017  reduce to 30091683 relations and 22856585 ideals in 7 passes
Sat Sep 30 11:08:53 2017  max relations containing the same ideal: 139
Sat Sep 30 11:09:04 2017  removing 5240854 relations and 3240854 ideals in 2000000 cliques
Sat Sep 30 11:09:05 2017  commencing in-memory singleton removal
Sat Sep 30 11:09:07 2017  begin with 24850829 relations and 22856585 unique ideals
Sat Sep 30 11:09:18 2017  reduce to 24349800 relations and 19085447 ideals in 7 passes
Sat Sep 30 11:09:18 2017  max relations containing the same ideal: 117
Sat Sep 30 11:09:27 2017  removing 5038257 relations and 3038257 ideals in 2000000 cliques
Sat Sep 30 11:09:28 2017  commencing in-memory singleton removal
Sat Sep 30 11:09:29 2017  begin with 19311543 relations and 19085447 unique ideals
Sat Sep 30 11:09:38 2017  reduce to 18815187 relations and 15517070 ideals in 7 passes
Sat Sep 30 11:09:38 2017  max relations containing the same ideal: 100
Sat Sep 30 11:09:45 2017  removing 4870303 relations and 2870303 ideals in 2000000 cliques
Sat Sep 30 11:09:46 2017  commencing in-memory singleton removal
Sat Sep 30 11:09:47 2017  begin with 13944884 relations and 15517070 unique ideals
Sat Sep 30 11:09:54 2017  reduce to 13399021 relations and 12055315 ideals in 8 passes
Sat Sep 30 11:09:54 2017  max relations containing the same ideal: 78
Sat Sep 30 11:09:58 2017  removing 2542739 relations and 1567076 ideals in 975663 cliques
Sat Sep 30 11:09:59 2017  commencing in-memory singleton removal
Sat Sep 30 11:10:00 2017  begin with 10856282 relations and 12055315 unique ideals
Sat Sep 30 11:10:05 2017  reduce to 10526162 relations and 10136699 ideals in 8 passes
Sat Sep 30 11:10:05 2017  max relations containing the same ideal: 70
Sat Sep 30 11:10:09 2017  removing 108299 relations and 86879 ideals in 21420 cliques
Sat Sep 30 11:10:09 2017  commencing in-memory singleton removal
Sat Sep 30 11:10:10 2017  begin with 10417863 relations and 10136699 unique ideals
Sat Sep 30 11:10:13 2017  reduce to 10416838 relations and 10048795 ideals in 5 passes
Sat Sep 30 11:10:13 2017  max relations containing the same ideal: 70
Sat Sep 30 11:10:14 2017  relations with 0 large ideals: 11126
Sat Sep 30 11:10:14 2017  relations with 1 large ideals: 7601
Sat Sep 30 11:10:14 2017  relations with 2 large ideals: 72175
Sat Sep 30 11:10:14 2017  relations with 3 large ideals: 423634
Sat Sep 30 11:10:14 2017  relations with 4 large ideals: 1324463
Sat Sep 30 11:10:14 2017  relations with 5 large ideals: 2427066
Sat Sep 30 11:10:14 2017  relations with 6 large ideals: 2762742
Sat Sep 30 11:10:14 2017  relations with 7+ large ideals: 3388031
Sat Sep 30 11:10:14 2017  commencing 2-way merge
Sat Sep 30 11:10:19 2017  reduce to 7627201 relation sets and 7259158 unique ideals
Sat Sep 30 11:10:19 2017  commencing full merge
Sat Sep 30 11:11:41 2017  memory use: 856.3 MB
Sat Sep 30 11:11:42 2017  found 4003822 cycles, need 3953358
Sat Sep 30 11:11:43 2017  weight of 3953358 cycles is about 277068848 (70.08/cycle)
Sat Sep 30 11:11:43 2017  distribution of cycle lengths:
Sat Sep 30 11:11:43 2017  1 relations: 269947
Sat Sep 30 11:11:43 2017  2 relations: 454642
Sat Sep 30 11:11:43 2017  3 relations: 546395
Sat Sep 30 11:11:43 2017  4 relations: 548375
Sat Sep 30 11:11:43 2017  5 relations: 509290
Sat Sep 30 11:11:43 2017  6 relations: 431561
Sat Sep 30 11:11:43 2017  7 relations: 344345
Sat Sep 30 11:11:43 2017  8 relations: 260376
Sat Sep 30 11:11:43 2017  9 relations: 191628
Sat Sep 30 11:11:43 2017  10+ relations: 396799
Sat Sep 30 11:11:43 2017  heaviest cycle: 19 relations
Sat Sep 30 11:11:44 2017  commencing cycle optimization
Sat Sep 30 11:11:49 2017  start with 20925704 relations
Sat Sep 30 11:12:13 2017  pruned 724660 relations
Sat Sep 30 11:12:13 2017  memory use: 654.4 MB
Sat Sep 30 11:12:13 2017  distribution of cycle lengths:
Sat Sep 30 11:12:13 2017  1 relations: 269947
Sat Sep 30 11:12:13 2017  2 relations: 466566
Sat Sep 30 11:12:13 2017  3 relations: 573162
Sat Sep 30 11:12:13 2017  4 relations: 572092
Sat Sep 30 11:12:13 2017  5 relations: 531419
Sat Sep 30 11:12:13 2017  6 relations: 441291
Sat Sep 30 11:12:13 2017  7 relations: 345168
Sat Sep 30 11:12:13 2017  8 relations: 252459
Sat Sep 30 11:12:13 2017  9 relations: 180017
Sat Sep 30 11:12:13 2017  10+ relations: 321237
Sat Sep 30 11:12:13 2017  heaviest cycle: 18 relations
Sat Sep 30 11:12:16 2017  RelProcTime: 1180
Sat Sep 30 11:12:17 2017
Sat Sep 30 11:12:17 2017  commencing linear algebra
Sat Sep 30 11:12:17 2017  read 3953358 cycles
Sat Sep 30 11:12:21 2017  cycles contain 10254432 unique relations
Sat Sep 30 11:13:06 2017  read 10254432 relations
Sat Sep 30 11:13:19 2017  using 20 quadratic characters above 4294917295
Sat Sep 30 11:13:56 2017  building initial matrix
Sat Sep 30 11:15:19 2017  memory use: 1378.6 MB
Sat Sep 30 11:15:20 2017  read 3953358 cycles
Sat Sep 30 11:12:21 2017  cycles contain 10254432 unique relations
Sat Sep 30 11:13:06 2017  read 10254432 relations
Sat Sep 30 11:13:19 2017  using 20 quadratic characters above 4294917295
Sat Sep 30 11:13:56 2017  building initial matrix
Sat Sep 30 11:15:19 2017  memory use: 1378.6 MB
Sat Sep 30 11:15:20 2017  read 3953358 cycles
Sat Sep 30 11:15:21 2017  matrix is 3953180 x 3953358 (1177.4 MB) with weight 353625880 (89.45/col)
Sat Sep 30 11:15:21 2017  sparse part has weight 265167141 (67.07/col)
Sat Sep 30 11:15:42 2017  filtering completed in 2 passes
Sat Sep 30 11:15:43 2017  matrix is 3952414 x 3952592 (1177.4 MB) with weight 353601492 (89.46/col)
Sat Sep 30 11:15:43 2017  sparse part has weight 265158953 (67.08/col)
Sat Sep 30 11:15:50 2017  matrix starts at (0, 0)
Sat Sep 30 11:15:50 2017  matrix is 3952414 x 3952592 (1177.4 MB) with weight 353601492 (89.46/col)
Sat Sep 30 11:15:50 2017  sparse part has weight 265158953 (67.08/col)
Sat Sep 30 11:15:50 2017  saving the first 48 matrix rows for later
Sat Sep 30 11:15:51 2017  matrix includes 64 packed rows
Sat Sep 30 11:15:51 2017  matrix is 3952366 x 3952592 (1132.5 MB) with weight 282785992 (71.54/col)
Sat Sep 30 11:15:51 2017  sparse part has weight 257354643 (65.11/col)
Sat Sep 30 11:15:51 2017  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Sat Sep 30 11:16:01 2017  commencing Lanczos iteration (16 threads)
Sat Sep 30 11:16:01 2017  memory use: 917.5 MB
Sat Sep 30 11:16:09 2017  linear algebra at 0.0%, ETA 5h46m
Sat Sep 30 11:16:12 2017  checkpointing every 670000 dimensions
Sat Sep 30 16:35:18 2017  lanczos halted after 62500 iterations (dim = 3952363)
Sat Sep 30 16:35:22 2017  recovered 34 nontrivial dependencies
Sat Sep 30 16:35:22 2017  BLanczosTime: 19385
Sat Sep 30 16:35:22 2017
Sat Sep 30 16:35:22 2017  commencing square root phase
Sat Sep 30 16:35:22 2017  reading relations for dependency 1
Sat Sep 30 16:35:22 2017  read 1976886 cycles
Sat Sep 30 16:35:24 2017  cycles contain 5127892 unique relations
Sat Sep 30 16:35:49 2017  read 5127892 relations
Sat Sep 30 16:36:08 2017  multiplying 5127892 relations
Sat Sep 30 16:38:55 2017  multiply complete, coefficients have about 157.14 million bits
Sat Sep 30 16:38:55 2017  initial square root is modulo 436171
Sat Sep 30 16:42:09 2017  found factor: 4667557882640615124874549747229023965370264618692733592961548383531251004225225693329581339
Sat Sep 30 16:42:09 2017  reading relations for dependency 2
Sat Sep 30 16:42:10 2017  read 1976584 cycles
Sat Sep 30 16:42:11 2017  cycles contain 5128210 unique relations
Sat Sep 30 16:42:36 2017  read 5128210 relations
Sat Sep 30 16:42:55 2017  multiplying 5128210 relations
Sat Sep 30 16:46:50 2017  multiply complete, coefficients have about 157.15 million bits
Sat Sep 30 16:46:51 2017  initial square root is modulo 436309
Sat Sep 30 16:52:35 2017  sqrtTime: 1033
Sat Sep 30 16:52:35 2017  p44 factor: 17179826605897432515822417114567584846293541
Sat Sep 30 16:52:35 2017  p48 factor: 271688299871335820761125869206746910783450287679
Sat Sep 30 16:52:35 2017  p56 factor: 30333206535446982742898736801859690160489162484121628879
Sat Sep 30 16:52:35 2017  p66 factor: 256246999828833861975799183354475392163555775826022192551210283701
Sat Sep 30 16:52:35 2017  elapsed time 06:00:00

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:01 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 1 秒 (日本時間)
4511e6326060Serge BatalovDecember 4, 2013 17:32:01 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 1 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:27 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 27 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:23 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 23 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:33 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 33 秒 (日本時間)
5043e6500 / 6813Serge BatalovJanuary 4, 2014 23:01:23 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 23 秒 (日本時間)

73×10216+539

c202

name 名前Bob Backstrom
date 日付August 29, 2020 20:18:29 UTC 2020 年 8 月 30 日 (日) 5 時 18 分 29 秒 (日本時間)
composite number 合成数
1250749373561425280243701863206592132364246567367167640350084788352972785093032166475026380723795364810406388420748622947586146252254726100456595089804476664606848555019899806537037106110863975674706999<202>
prime factors 素因数
32881568932955483539646934911187775341383147<44>
38038007739583993581914482458017995475257102767185253846229135188387563733470725748749964674450403550881503864223164987622350056926931692650854186111156460517<158>
factorization results 素因数分解の結果
73x10^216+53 = 81(215)7

GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 1250749373561425280243701863206592132364246567367167640350084788352972785093032166475026380723795364810406388420748622947586146252254726100456595089804476664606848555019899806537037106110863975674706999 (202 digits)
Using B1=5380000, B2=11416472350, polynomial Dickson(12), sigma=2297993845
Step 1 took 27853ms
Step 2 took 10928ms
********** Factor found in step 2: 32881568932955483539646934911187775341383147
Found probable prime factor of 44 digits: 32881568932955483539646934911187775341383147
Probable prime cofactor 38038007739583993581914482458017995475257102767185253846229135188387563733470725748749964674450403550881503864223164987622350056926931692650854186111156460517 has 158 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:34 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 34 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:05:32 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 32 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:15:16 UTC 2014 年 2 月 25 日 (火) 15 時 15 分 16 秒 (日本時間)
4511e60 / 3875--
5043e647 / 7480CypJanuary 13, 2014 01:40:07 UTC 2014 年 1 月 13 日 (月) 10 時 40 分 7 秒 (日本時間)

73×10217+539

c175

name 名前Cyp
date 日付February 18, 2014 07:15:39 UTC 2014 年 2 月 18 日 (火) 16 時 15 分 39 秒 (日本時間)
composite number 合成数
7307952269467033183596056441432253160268291868798042958232077445981780245424204848415210376905191370258476387812368794467635383988863858848363319153490655979754042050487518601<175>
prime factors 素因数
15035166314309288233941073377849956934887<41>
486057295057115480685707430468933902793241554282996650028521562438033496665977931364316194355064152480154149824978898879494091576132623<135>
factorization results 素因数分解の結果
Run 382 out of 393:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=131268474
Step 1 took 59321ms
Step 2 took 8355ms
********** Factor found in step 2: 15035166314309288233941073377849956934887
Found probable prime factor of 41 digits: 15035166314309288233941073377849956934887
Probable prime cofactor 486057295057115480685707430468933902793241554282996650028521562438033496665977931364316194355064152480154149824978898879494091576132623 has 135 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590 / 628290CypJanuary 5, 2014 17:24:41 UTC 2014 年 1 月 6 日 (月) 2 時 24 分 41 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:33 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 33 秒 (日本時間)
4511e6382 / 4208CypFebruary 18, 2014 07:15:38 UTC 2014 年 2 月 18 日 (火) 16 時 15 分 38 秒 (日本時間)
5043e639 / 7445CypJanuary 28, 2014 11:16:03 UTC 2014 年 1 月 28 日 (火) 20 時 16 分 3 秒 (日本時間)

73×10218+539

c204

name 名前Cyp
date 日付January 5, 2014 06:54:41 UTC 2014 年 1 月 5 日 (日) 15 時 54 分 41 秒 (日本時間)
composite number 合成数
628756327920206789551664647021249541587359305144108412092732203894173889590145684165042468726495340181231982655842692949147045873316235373489651041311635982451605952138989269440272434873651336643404426883<204>
prime factors 素因数
45660021908791728276519101901367436749<38>
composite cofactor 合成数の残り
13770390412343215691378353508082139071873946588562817416520165008924308503362048542458409698166411630448141983847808305566560772420875504240307846292077294242299860367<167>
factorization results 素因数分解の結果
Run 23 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3995993346
Step 1 took 18828ms
Step 2 took 6237ms
********** Factor found in step 2: 45660021908791728276519101901367436749
Found probable prime factor of 38 digits: 45660021908791728276519101901367436749
Composite cofactor 13770390412343215691378353508082139071873946588562817416520165008924308503362048542458409698166411630448141983847808305566560772420875504240307846292077294242299860367 has 167 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 06:54:40 UTC 2014 年 1 月 5 日 (日) 15 時 54 分 40 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:33 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 33 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:01:26 UTC 2014 年 2 月 14 日 (金) 21 時 1 分 26 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovMarch 31, 2014 11:17:31 UTC 2014 年 3 月 31 日 (月) 20 時 17 分 31 秒 (日本時間)

73×10219+539

c219

name 名前Serge Batalov
date 日付December 4, 2013 05:58:37 UTC 2013 年 12 月 4 日 (水) 14 時 58 分 37 秒 (日本時間)
composite number 合成数
477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418301<219>
prime factors 素因数
190107159492038714000103521136172229<36>
2509764410143200840228901583450541818890737210268841576611299280840581117528177871734475521975711776831046477772436400402475002105989726074488330783935097381664822944019663197574980569<184>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3456847792
Step 1 took 76545ms
Step 2 took 37158ms
********** Factor found in step 2: 190107159492038714000103521136172229
Found probable prime factor of 36 digits: 190107159492038714000103521136172229
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

73×10220+539

c196

name 名前Erik Branger
date 日付March 10, 2019 21:03:22 UTC 2019 年 3 月 11 日 (月) 6 時 3 分 22 秒 (日本時間)
composite number 合成数
1470571443701867783922098747593047797381563031962455713145445931252409095609534891924011564905678274143219404123796591275260107181701020086028893412357214019925142465160041630002284557238246806461<196>
prime factors 素因数
7998469435007359854452260998496700709329851<43>
183856606023339092257427658603187591428878409977591101355355735608555176858212478807231596746054944164233977442111418506768902344210321679758320467643111<153>
factorization results 素因数分解の結果
Number: 81117_220
N = 1470571443701867783922098747593047797381563031962455713145445931252409095609534891924011564905678274143219404123796591275260107181701020086028893412357214019925142465160041630002284557238246806461 (196 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=7998469435007359854452260998496700709329851 (pp43)
r2=183856606023339092257427658603187591428878409977591101355355735608555176858212478807231596746054944164233977442111418506768902344210321679758320467643111 (pp153)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 95.18 hours.
Factorization parameters were as follows:
n: 1470571443701867783922098747593047797381563031962455713145445931252409095609534891924011564905678274143219404123796591275260107181701020086028893412357214019925142465160041630002284557238246806461
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 73
c0: 53
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
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 8792760 relations
Pruned matrix : 7522663 x 7522889
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 41.17 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 53.32 hours.
time per square root: 0.27 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: 95.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 3, 2014 11:09:46 UTC 2014 年 1 月 3 日 (金) 20 時 9 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:34 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 34 秒 (日本時間)
4511e60 / 3682--
5043e6189 / 7530CypFebruary 6, 2014 21:58:18 UTC 2014 年 2 月 7 日 (金) 6 時 58 分 18 秒 (日本時間)

73×10223+539

c206

composite cofactor 合成数の残り
38379054564938135940714886172111172189892602024290544435687198707435276377949917279912979202518262296329830587660387848208803653316766904349167447242757979601651940206249322641310177645593663895510244911493<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 21:00:07 UTC 2014 年 1 月 3 日 (金) 6 時 0 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:35 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:15:39 UTC 2014 年 2 月 25 日 (火) 15 時 15 分 39 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovMarch 31, 2014 11:17:53 UTC 2014 年 3 月 31 日 (月) 20 時 17 分 53 秒 (日本時間)

73×10225+539

c183

composite cofactor 合成数の残り
167695044379200735853602962691264044482431356871180405949818173395894178823174966510864130036994335766302896393314575134152324041623928935761540832331941626655720103038062214980505283<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:35 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 35 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:05:35 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 35 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:15:52 UTC 2014 年 2 月 25 日 (火) 15 時 15 分 52 秒 (日本時間)
4511e61000 / 4040Dmitry DomanovMarch 31, 2014 11:18:05 UTC 2014 年 3 月 31 日 (月) 20 時 18 分 5 秒 (日本時間)

73×10228+539

c171

composite cofactor 合成数の残り
334664821975404899785044155608048301823469305337054341478163948338478337234960447174185621442671370176018021112807207882201957181300064554493034396720109816614647572533173<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:35 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 35 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 05:05:36 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 36 秒 (日本時間)
1500Dmitry DomanovFebruary 14, 2014 12:01:41 UTC 2014 年 2 月 14 日 (金) 21 時 1 分 41 秒 (日本時間)
4511e60 / 3875--
5043e647 / 7480CypJanuary 12, 2014 11:07:18 UTC 2014 年 1 月 12 日 (日) 20 時 7 分 18 秒 (日本時間)

73×10229+539

c186

composite cofactor 合成数の残り
112983507264490961402940585108673308750963523567196627476799625553718971977558270499216909181689765779254837056982996908207219574631932409697976510023148305581770486324290059439121046533<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:36 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 36 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:05:37 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 37 秒 (日本時間)
4511e6522 / 4372CypFebruary 16, 2014 22:34:24 UTC 2014 年 2 月 17 日 (月) 7 時 34 分 24 秒 (日本時間)

73×10230+539

c181

composite cofactor 合成数の残り
8713053236211221687190640838695822447719042718663011847697928496295786554038968853292238585852527144481251535348385645376154204362991744124512400157827318568024611268285364465290799<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 1, 2014 13:57:48 UTC 2014 年 1 月 1 日 (水) 22 時 57 分 48 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:38 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 38 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:16:14 UTC 2014 年 2 月 25 日 (火) 15 時 16 分 14 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovMarch 31, 2014 11:18:20 UTC 2014 年 3 月 31 日 (月) 20 時 18 分 20 秒 (日本時間)

73×10232+539

c233

name 名前Serge Batalov
date 日付January 5, 2014 03:52:56 UTC 2014 年 1 月 5 日 (日) 12 時 52 分 56 秒 (日本時間)
composite number 合成数
27037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037039<233>
prime factors 素因数
134811412689561077472383328964046458363459<42>
200554511651746900258791056282109508092434618400854164596292236339782524178950689521089409602940798670918966411125881717162579817071732502813347439074658655309532372454508319803722946207931621<192>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1786201044
Step 1 took 304373ms
Step 2 took 151065ms
********** Factor found in step 2: 134811412689561077472383328964046458363459
Found probable prime factor of 42 digits: 134811412689561077472383328964046458363459
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6210Serge BatalovDecember 4, 2013 17:32:26 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 26 秒 (日本時間)
4511e6560 / 267560Serge BatalovDecember 4, 2013 17:32:26 UTC 2013 年 12 月 5 日 (木) 2 時 32 分 26 秒 (日本時間)
500Serge BatalovJanuary 4, 2014 22:39:42 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 42 秒 (日本時間)
5043e6500 / 7419Serge BatalovJanuary 4, 2014 23:01:39 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 39 秒 (日本時間)

73×10233+539

c226

name 名前Serge Batalov
date 日付November 27, 2013 17:31:46 UTC 2013 年 11 月 28 日 (木) 2 時 31 分 46 秒 (日本時間)
composite number 合成数
2966727395942222515790058076033709414839530688483911661055563062391869822235446023508672193454659145746118888510931882655981168079311914739284766574517390861913178765836258251209045960507086652820364692345388596375460463676319<226>
prime factors 素因数
30180503976031517564477117304859813<35>
composite cofactor 合成数の残り
98299465055265860284788260717705608349713582123717720091240589279545865986168804815762219872089869592267599269423950381232866468230983569374707451983781012433964100076527483005466941827403763<191>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1780832869
Step 1 took 6063ms
Step 2 took 2845ms
********** Factor found in step 2: 30180503976031517564477117304859813
Found probable prime factor of 35 digits: 30180503976031517564477117304859813
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 11:44:01 UTC 2014 年 1 月 4 日 (土) 20 時 44 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:39 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 39 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:16:26 UTC 2014 年 2 月 25 日 (火) 15 時 16 分 26 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovMarch 31, 2014 11:18:31 UTC 2014 年 3 月 31 日 (月) 20 時 18 分 31 秒 (日本時間)

73×10234+539

c171

name 名前Cyp
date 日付January 6, 2014 05:32:51 UTC 2014 年 1 月 6 日 (月) 14 時 32 分 51 秒 (日本時間)
composite number 合成数
937446551413812037734842038049414926204270242496006374157455567759821847334881995625130197663417181218317129925869320372216191777578935486597480263693903669454121693203531<171>
prime factors 素因数
164984839812834662846023538501<30>
composite cofactor 合成数の残り
5682016314209769436381598391365456971401263299630964888980859389121333496979314090637816590322280866331110964222929775801779479626262328510031<142>
factorization results 素因数分解の結果
Run 49 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2661142266
Step 1 took 13685ms
Step 2 took 5088ms
********** Factor found in step 2: 164984839812834662846023538501
Found probable prime factor of 30 digits: 164984839812834662846023538501
Composite cofactor 5682016314209769436381598391365456971401263299630964888980859389121333496979314090637816590322280866331110964222929775801779479626262328510031 has 142 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c142

name 名前Erik Branger
date 日付March 18, 2019 16:33:26 UTC 2019 年 3 月 19 日 (火) 1 時 33 分 26 秒 (日本時間)
composite number 合成数
5682016314209769436381598391365456971401263299630964888980859389121333496979314090637816590322280866331110964222929775801779479626262328510031<142>
prime factors 素因数
202478529057155494939982868002109801881682601899126231500691619<63>
28062315252230294101842994704088121495550448189678884352022443333261176130165349<80>
factorization results 素因数分解の結果
Number: 81117_234
N = 5682016314209769436381598391365456971401263299630964888980859389121333496979314090637816590322280866331110964222929775801779479626262328510031 (142 digits)
Divisors found:
r1=202478529057155494939982868002109801881682601899126231500691619 (pp63)
r2=28062315252230294101842994704088121495550448189678884352022443333261176130165349 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 329.52 hours.
Factorization parameters were as follows:
# Murphy_E = 1.614e-11, selected by Maksym Voznyy
n: 5682016314209769436381598391365456971401263299630964888980859389121333496979314090637816590322280866331110964222929775801779479626262328510031
Y0: -6126102057223958784708929200
Y1: 3586607202919050947
c0: 11661718572485428427205587141145597
c1: 67515344341876904913603109898
c2: 82779855126333416908968
c3: -69856107034135802
c4: -22422038049
c5: 5940
skew: 1772258.57
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23269679
Relations: 4088280 relations
Pruned matrix : 2539400 x 2539627
Polynomial selection time: 0.00 hours.
Total sieving time: 322.51 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 6.56 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 329.52 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS; Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 6, 2014 05:32:49 UTC 2014 年 1 月 6 日 (月) 14 時 32 分 49 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:39 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 39 秒 (日本時間)
4511e64350230Ignacio SantosFebruary 5, 2014 22:45:00 UTC 2014 年 2 月 6 日 (木) 7 時 45 分 0 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 17:42:45 UTC 2014 年 2 月 7 日 (金) 2 時 42 分 45 秒 (日本時間)
230Ignacio SantosFebruary 6, 2014 21:02:05 UTC 2014 年 2 月 7 日 (金) 6 時 2 分 5 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:39 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 39 秒 (日本時間)
1860Ignacio SantosDecember 21, 2015 19:21:19 UTC 2015 年 12 月 22 日 (火) 4 時 21 分 19 秒 (日本時間)

73×10235+539

c225

composite cofactor 合成数の残り
118832260352430961324528420289537301247883400794248992011170556535539416011959258805301092943275743546407210663802558645584217760142669834435816669217754156475999031503527343193449091470773210382526003578942696986172008835337<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 06:35:01 UTC 2014 年 1 月 5 日 (日) 15 時 35 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:40 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 40 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:16:42 UTC 2014 年 2 月 25 日 (火) 15 時 16 分 42 秒 (日本時間)
4511e667 / 4013CypMarch 11, 2014 10:33:29 UTC 2014 年 3 月 11 日 (火) 19 時 33 分 29 秒 (日本時間)

73×10236+539

c203

name 名前Serge Batalov
date 日付November 27, 2013 17:38:08 UTC 2013 年 11 月 28 日 (木) 2 時 38 分 8 秒 (日本時間)
composite number 合成数
15671427767142802811567115384649055630849568625223057318421250919887670679860779731767434231097378302097081058193483776257196885484146439841783389096745802357185906276533087223828000956112675368659254819<203>
prime factors 素因数
3128490784959817161138064850490421<34>
5009261284221455410349983325098826656180759745071698279723479569295963128988567940204541072546629279914359144336724545175824375482837379579593866883171888249887094760439<169>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=284097015
Step 1 took 5388ms
Step 2 took 2611ms
********** Factor found in step 2: 3128490784959817161138064850490421
Found probable prime factor of 34 digits: 3128490784959817161138064850490421
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

73×10237+539

c209

name 名前Cyp
date 日付February 18, 2014 15:56:26 UTC 2014 年 2 月 19 日 (水) 0 時 56 分 26 秒 (日本時間)
composite number 合成数
68670576825792431878987134593264582741871182957312171759742285895216699476475673395317226860814866976836152130019532101542276691115172792881396992180196897698612287092047303288560809774945598219401518888359659<209>
prime factors 素因数
124780637824559584313789142692961927559<39>
composite cofactor 合成数の残り
550330387975277253431926458094017881356970203229460455224628900457276867429082334659448616325931466496737397107783256155038161700329366982054442361035084116178903494731901<171>
factorization results 素因数分解の結果
Run 314 out of 501:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4117902074
Step 1 took 68885ms
Step 2 took 21305ms
********** Factor found in step 2: 124780637824559584313789142692961927559
Found probable prime factor of 39 digits: 124780637824559584313789142692961927559
Composite cofactor 550330387975277253431926458094017881356970203229460455224628900457276867429082334659448616325931466496737397107783256155038161700329366982054442361035084116178903494731901 has 171 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 6, 2014 15:00:20 UTC 2014 年 1 月 7 日 (火) 0 時 0 分 20 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:41 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 41 秒 (日本時間)
4511e6501 / 4345CypFebruary 18, 2014 15:56:24 UTC 2014 年 2 月 19 日 (水) 0 時 56 分 24 秒 (日本時間)

73×10238+539

c203

name 名前Serge Batalov
date 日付November 27, 2013 17:24:14 UTC 2013 年 11 月 28 日 (木) 2 時 24 分 14 秒 (日本時間)
composite number 合成数
11467128325415745935677211880510771323969147265676901055587761685369662454174054394625735534464568375230748089037450129148265725680567676256183234356900692877881165226631742563833929362142825908089838083<203>
prime factors 素因数
9861700342168229500942498811279<31>
composite cofactor 合成数の残り
1162794237052891547034495187444067005752800287587437515385805842638978943854934768675387642280897988024570019193835883153067346714191632582882127125835818040291315841702477<172>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3716065520
Step 1 took 5359ms
Step 2 took 2619ms
********** Factor found in step 2: 9861700342168229500942498811279
Found probable prime factor of 31 digits: 9861700342168229500942498811279
Composite cofactor 

c172

name 名前Serge Batalov
date 日付January 6, 2014 22:13:18 UTC 2014 年 1 月 7 日 (火) 7 時 13 分 18 秒 (日本時間)
composite number 合成数
1162794237052891547034495187444067005752800287587437515385805842638978943854934768675387642280897988024570019193835883153067346714191632582882127125835818040291315841702477<172>
prime factors 素因数
682949847681053621409921844120057<33>
composite cofactor 合成数の残り
1702605602741025045510988051312026483497672504799237041122839773240714767870307114337313989470767890866621167383821151243541851450486147061<139>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3333039120
Step 1 took 7731ms
Step 2 took 5608ms
********** Factor found in step 2: 682949847681053621409921844120057
Found probable prime factor of 33 digits: 682949847681053621409921844120057
Composite cofactor 

c139

name 名前Erik Branger
date 日付April 9, 2014 16:46:43 UTC 2014 年 4 月 10 日 (木) 1 時 46 分 43 秒 (日本時間)
composite number 合成数
1702605602741025045510988051312026483497672504799237041122839773240714767870307114337313989470767890866621167383821151243541851450486147061<139>
prime factors 素因数
448871472738723599042315206511856076020672490716693942577573467211<66>
3793080438711834670501799315831292635191139885423229090761641736587996351<73>
factorization results 素因数分解の結果
Number: 81117_238
N = 1702605602741025045510988051312026483497672504799237041122839773240714767870307114337313989470767890866621167383821151243541851450486147061 (139 digits)
Divisors found:
r1=448871472738723599042315206511856076020672490716693942577573467211 (pp66)
r2=3793080438711834670501799315831292635191139885423229090761641736587996351 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 160.05 hours.
Factorization parameters were as follows:
# Murphy_E = 2.672e-11, selected by Erik Branger
# expecting poly E from 2.63e-011 to > 3.03e-011
n: 1702605602741025045510988051312026483497672504799237041122839773240714767870307114337313989470767890866621167383821151243541851450486147061
Y0: -891468406457489734983908404
Y1: 295196603774717
c0: 17592824695139175586984061739278337
c1: 111389571392162116242163405422
c2: -24016524419887546936187
c3: -93822162858673336
c4: 52341945540
c5: 3024
skew: 1837708.81
type: gnfs
# selected mechanically
rlim: 16300000
alim: 16300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23200579
Relations: 3915298 relations
Pruned matrix : 2396673 x 2396898
Polynomial selection time: 0.00 hours.
Total sieving time: 155.32 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.36 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16300000,16300000,28,28,55,55,2.6,2.6,100000
total time: 160.05 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:38 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 38 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 05:05:42 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 42 秒 (日本時間)
4511e6690 / 4372230Ignacio SantosFebruary 4, 2014 22:34:10 UTC 2014 年 2 月 5 日 (水) 7 時 34 分 10 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 15:49:15 UTC 2014 年 2 月 6 日 (木) 0 時 49 分 15 秒 (日本時間)
230Ignacio SantosFebruary 5, 2014 19:18:53 UTC 2014 年 2 月 6 日 (木) 4 時 18 分 53 秒 (日本時間)

73×10239+539

c134

name 名前Serge Batalov
date 日付November 26, 2013 23:24:51 UTC 2013 年 11 月 27 日 (水) 8 時 24 分 51 秒 (日本時間)
composite number 合成数
13692119663481057607317869596503654576163961874776897679334061080226910650971957315152564720265640011421375267905391083832316084878717<134>
prime factors 素因数
1255340243760528069642922851172944509<37>
10907098479106037115706562663300257791856035602551475377240091907049293331513109401048482632838913<98>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2722275247
Step 1 took 2519ms
Step 2 took 1623ms
********** Factor found in step 2: 1255340243760528069642922851172944509
Found probable prime factor of 37 digits: 1255340243760528069642922851172944509
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

73×10241+539

c214

composite cofactor 合成数の残り
3017876078476896502622488392500202520050902948858950014153067969806608127010952143297406259592606592482993480706484888561182835018527885841004807405094870960051823616200780634077859429852516401653388595112230819619<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 16:59:33 UTC 2014 年 1 月 3 日 (金) 1 時 59 分 33 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:42 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 42 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:17:03 UTC 2014 年 2 月 25 日 (火) 15 時 17 分 3 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovMarch 31, 2014 11:18:52 UTC 2014 年 3 月 31 日 (月) 20 時 18 分 52 秒 (日本時間)

73×10242+539

c189

composite cofactor 合成数の残り
897279466813143773714053257774805889747750741113589846310296519109151026586282454703375956375049324578782144388632833138443908483033553683975721531791104117330797906127207774018955571066861<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 4, 2014 07:48:53 UTC 2014 年 1 月 4 日 (土) 16 時 48 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:43 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 43 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:17:13 UTC 2014 年 2 月 25 日 (火) 15 時 17 分 13 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovMarch 31, 2014 11:19:04 UTC 2014 年 3 月 31 日 (月) 20 時 19 分 4 秒 (日本時間)

73×10243+539

c237

composite cofactor 合成数の残り
108947580801282981038869000060283830565838677439767609855274585863642762983897713217590497901234549660391511369837438105815988553865675599477310101482537337757482664242287492180604529918328729544366009200700805164260991403912002871834351<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 14:13:00 UTC 2014 年 1 月 5 日 (日) 23 時 13 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:44 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 44 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:17:26 UTC 2014 年 2 月 25 日 (火) 15 時 17 分 26 秒 (日本時間)
4511e61000 / 3876Dmitry DomanovApril 1, 2014 12:55:04 UTC 2014 年 4 月 1 日 (火) 21 時 55 分 4 秒 (日本時間)
5043e639 / 7249CypJanuary 31, 2014 09:01:44 UTC 2014 年 1 月 31 日 (金) 18 時 1 分 44 秒 (日本時間)

73×10244+539

c184

composite cofactor 合成数の残り
6595934165365278191445210650727455234985779506047881959420894082338759403582669406679712256962664494254934699610200750846044894437598864100725077245316222213543774310191450688182182771<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 5, 2014 16:05:43 UTC 2014 年 1 月 6 日 (月) 1 時 5 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:44 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 44 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:17:37 UTC 2014 年 2 月 25 日 (火) 15 時 17 分 37 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovApril 1, 2014 12:55:27 UTC 2014 年 4 月 1 日 (火) 21 時 55 分 27 秒 (日本時間)

73×10246+539

c234

composite cofactor 合成数の残り
349472903137236737286500408836540698037201786587686023434521310587899204617172410541053920764020749449123177675547851647736343323554268171484011099047446905845229417238390139557851349867170661729949009169226321213918403683600337659737<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e62090290CypJanuary 2, 2014 01:27:35 UTC 2014 年 1 月 2 日 (木) 10 時 27 分 35 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 05:05:45 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 45 秒 (日本時間)
1500Dmitry DomanovFebruary 25, 2014 06:17:49 UTC 2014 年 2 月 25 日 (火) 15 時 17 分 49 秒 (日本時間)
4511e61000 / 4013Dmitry DomanovApril 1, 2014 12:55:40 UTC 2014 年 4 月 1 日 (火) 21 時 55 分 40 秒 (日本時間)

73×10247+539

c203

name 名前Serge Batalov
date 日付January 9, 2014 17:25:24 UTC 2014 年 1 月 10 日 (金) 2 時 25 分 24 秒 (日本時間)
composite number 合成数
20242486316325789316965746029743648693570338228401124749714112169070969978005429505086866966176386791936036577139130577355433667414101130905646762074689143303005164436079705365310349509328922501867161661<203>
prime factors 素因数
1672198430189820342505157953257508871<37>
12105313550634032441145196062735029239117064758827912188711469993312228514147848910074871807347815157271851267187118788525088236605496843565728419219438206421689486491<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=513639557
Step 1 took 16132ms
Step 2 took 5985ms
********** Factor found in step 2: 1672198430189820342505157953257508871
Found probable prime factor of 37 digits: 1672198430189820342505157953257508871
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:38 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 38 秒 (日本時間)
403e6300 / 2100Serge BatalovJanuary 9, 2014 05:05:46 UTC 2014 年 1 月 9 日 (木) 14 時 5 分 46 秒 (日本時間)

73×10248+539

c226

name 名前Serge Batalov
date 日付November 27, 2013 01:50:49 UTC 2013 年 11 月 27 日 (水) 10 時 50 分 49 秒 (日本時間)
composite number 合成数
2252411072846445724048880658792267652294379783236069586261011764592127795505952569742941021995022626915886083577709045347576163606378576830077091073532454820793975698189642916267049409735350077419103369775954240548603525014441<226>
prime factors 素因数
2978735550844691448336335814791<31>
135474610912118508388985350695313<33>
composite cofactor 合成数の残り
5581588209727704990750082501205880378678954358633425833482963486010859458855644645453220848448274599062052742237617871300740542260998917235588954380117818548072927<163>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1618039536
Step 1 took 6052ms
Step 2 took 2844ms
********** Factor found in step 2: 2978735550844691448336335814791
Found probable prime factor of 31 digits: 2978735550844691448336335814791

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2545671248
Step 1 took 6047ms
Step 2 took 2846ms
********** Factor found in step 2: 135474610912118508388985350695313
Found probable prime factor of 33 digits: 135474610912118508388985350695313

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)
403e61800600Serge BatalovNovember 27, 2013 17:46:54 UTC 2013 年 11 月 28 日 (木) 2 時 46 分 54 秒 (日本時間)
600Serge BatalovNovember 27, 2013 18:18:28 UTC 2013 年 11 月 28 日 (木) 3 時 18 分 28 秒 (日本時間)
600Lionel DebrouxJanuary 1, 2014 17:23:34 UTC 2014 年 1 月 2 日 (木) 2 時 23 分 34 秒 (日本時間)
4511e6500Serge BatalovJanuary 4, 2014 22:39:11 UTC 2014 年 1 月 5 日 (日) 7 時 39 分 11 秒 (日本時間)
5043e61100 / 7373500Serge BatalovJanuary 4, 2014 23:01:09 UTC 2014 年 1 月 5 日 (日) 8 時 1 分 9 秒 (日本時間)
600Erik BrangerMarch 19, 2014 13:32:40 UTC 2014 年 3 月 19 日 (水) 22 時 32 分 40 秒 (日本時間)

73×10250+539

c195

name 名前Serge Batalov
date 日付November 26, 2013 23:41:33 UTC 2013 年 11 月 27 日 (水) 8 時 41 分 33 秒 (日本時間)
composite number 合成数
227624901627291083783132628547371691961041629312977024942879423524892355257088956930407419755383894638613654850272884121045049996452464274557993335683117535542421339246907967590127072583026912339<195>
prime factors 素因数
636072418028105995243548002676133<33>
357860041051541196008096862194663314496870170966165716318453174179223886453364451184889962141843212267420894350124224508822838378435515235078312557490554252460183<162>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=528429691
Step 1 took 5481ms
Step 2 took 2530ms
********** Factor found in step 2: 636072418028105995243548002676133
Found probable prime factor of 33 digits: 636072418028105995243548002676133
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 26, 2013 09:00:00 UTC 2013 年 11 月 26 日 (火) 18 時 0 分 0 秒 (日本時間)

73×10251+539

c239

composite cofactor 合成数の残り
12374608654416162385656658831886089833498244507574719263334348556199801428627572356781590027303223455912985114116292241624163300895208873412771947702614306131266347713489614412967565583420832123479505865319907084726257488720396645151753647<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:51:49 UTC 2021 年 5 月 15 日 (土) 19 時 51 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 03:31:34 UTC 2022 年 2 月 19 日 (土) 12 時 31 分 34 秒 (日本時間)

73×10252+539

c238

composite cofactor 合成数の残り
1257840431300318297142700966247873633363440006484581950465058695417927688557462431444196102399010282628223673225683306202994023179044286971116265653146589860384331341197754266715089261489676424319419531034985613721610987933790082348052941<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:51:35 UTC 2021 年 5 月 15 日 (土) 19 時 51 分 35 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 09:28:49 UTC 2022 年 2 月 19 日 (土) 18 時 28 分 49 秒 (日本時間)

73×10253+539

c219

composite cofactor 合成数の残り
643679565449370598397634811274385259422058620085196157601384075322169551961112963937212922565073581674533980186254611834048002657939202244814189596538718231125844299738709325792912571906597700662091514431972896915854117<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:51:16 UTC 2021 年 5 月 15 日 (土) 19 時 51 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 09:40:02 UTC 2022 年 2 月 18 日 (金) 18 時 40 分 2 秒 (日本時間)

73×10255+539

c256

composite cofactor 合成数の残り
8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e60--
4511e64480iveliveJanuary 27, 2021 02:42:33 UTC 2021 年 1 月 27 日 (水) 11 時 42 分 33 秒 (日本時間)
5043e672001800Dmitry DomanovDecember 2, 2021 23:11:47 UTC 2021 年 12 月 3 日 (金) 8 時 11 分 47 秒 (日本時間)
1800Dmitry DomanovFebruary 16, 2022 06:44:02 UTC 2022 年 2 月 16 日 (水) 15 時 44 分 2 秒 (日本時間)
1800Dmitry DomanovApril 8, 2022 21:19:03 UTC 2022 年 4 月 9 日 (土) 6 時 19 分 3 秒 (日本時間)
1800Dmitry DomanovJuly 1, 2022 14:48:14 UTC 2022 年 7 月 1 日 (金) 23 時 48 分 14 秒 (日本時間)

73×10258+539

c212

name 名前Eric Jeancolas
date 日付May 9, 2021 18:41:36 UTC 2021 年 5 月 10 日 (月) 3 時 41 分 36 秒 (日本時間)
composite number 合成数
19061880528340247953905024800371270598121153677231830885650334686779478108103191877850527370721644842312289378028098777992817113888266262733714330269040629061986244628012531688015292906653760014954006949630576939<212>
prime factors 素因数
3339974432299126243316221214930000623<37>
5707193547352603383104838772828525119200315519695810407856748557525574033165212243199984449476203753434426547090124716103429434478731762041012536238138788155383135180852553093<175>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 19061880528340247953905024800371270598121153677231830885650334686779478108103191877850527370721644842312289378028098777992817113888266262733714330269040629061986244628012531688015292906653760014954006949630576939 (212 digits)
Run 1082 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3520882215
Step 1 took 7948ms
Step 2 took 4392ms
********** Factor found in step 2: 3339974432299126243316221214930000623
Found prime factor of 37 digits: 3339974432299126243316221214930000623
Prime cofactor 5707193547352603383104838772828525119200315519695810407856748557525574033165212243199984449476203753434426547090124716103429434478731762041012536238138788155383135180852553093 has 175 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61082Eric JeancolasMay 9, 2021 18:40:37 UTC 2021 年 5 月 10 日 (月) 3 時 40 分 37 秒 (日本時間)

73×10259+539

c230

composite cofactor 合成数の残り
41262350113543758637555715170730537633059910978520239270182729618906113286639114498460843153270531901919811554075340270295655175886817266838075405572608812947017770331339769736661896878592355472905892691467984094470696337366260899<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:50:47 UTC 2021 年 5 月 15 日 (土) 19 時 50 分 47 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 16:36:20 UTC 2022 年 2 月 19 日 (土) 1 時 36 分 20 秒 (日本時間)

73×10260+539

c231

composite cofactor 合成数の残り
145147735070373031166688582947108587172421834526922890904347858141826679833150262270366564905349976623716562964870503846431326975843095689556278888454255018896873316932876046966187983481277711264104365521561077136006306814924524761<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:50:36 UTC 2021 年 5 月 15 日 (土) 19 時 50 分 36 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 19:44:20 UTC 2022 年 2 月 19 日 (土) 4 時 44 分 20 秒 (日本時間)

73×10261+539

c222

composite cofactor 合成数の残り
458909025103767346368923923094277211374384508731366221581891055538885447700899528885987382130120655420628209202056282414243618227077529113943484946309178896180695638776119253320045776182209699993094502761841410570905437201<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:50:25 UTC 2021 年 5 月 15 日 (土) 19 時 50 分 25 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 18:33:02 UTC 2022 年 2 月 19 日 (土) 3 時 33 分 2 秒 (日本時間)

73×10262+539

c244

composite cofactor 合成数の残り
3535369504131170886022359446100955084931083356258141493181555729620739817879518990540434363176840210822950796061867228219816192217271627123556134033102577331458339593004888593455001167925686172355307471024597432923508146571371447216082323841063<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:50:13 UTC 2021 年 5 月 15 日 (土) 19 時 50 分 13 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 00:08:03 UTC 2022 年 2 月 22 日 (火) 9 時 8 分 3 秒 (日本時間)

73×10267+539

c244

composite cofactor 合成数の残り
6207569370024917982379165568413193978291530170011484884868582856356556684580742933602650778953959852272617212995741405210929456086471080975017489180004520569158357758806757050278522122240783738801313140083834678229588876017668815485366018386679<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:49:58 UTC 2021 年 5 月 15 日 (土) 19 時 49 分 58 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 21:28:05 UTC 2022 年 2 月 17 日 (木) 6 時 28 分 5 秒 (日本時間)

73×10268+539

c263

composite cofactor 合成数の残り
16828719163648620308985888242965762524134515686867515355111217431731361450065720758942037903024482766434875265879354635679323638561806594815412810671123095925520422953201844787247759111961860497433424376704008672369204946988727778108588901063199286591404485019639<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:49:45 UTC 2021 年 5 月 15 日 (土) 19 時 49 分 45 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 13:17:51 UTC 2022 年 3 月 5 日 (土) 22 時 17 分 51 秒 (日本時間)

73×10269+539

c232

composite cofactor 合成数の残り
7894626742446919271485870855242651899123314736222785699963450650149230031618585132687160251585370364505897140517611006825205430246650086753754074853294793556049159319188120271704174182419471954692940965428226657801983277116267437373<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:49:29 UTC 2021 年 5 月 15 日 (土) 19 時 49 分 29 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 20:32:47 UTC 2022 年 2 月 23 日 (水) 5 時 32 分 47 秒 (日本時間)

73×10270+539

c222

composite cofactor 合成数の残り
117091504281514731582933762978137647906710563196480798949271118669715241996530928565209623103715353675859870578735087551292095008733845659802919705065255789890027042346082870677164972405704101298850850493644915981601406087<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:49:16 UTC 2021 年 5 月 15 日 (土) 19 時 49 分 16 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 08:35:22 UTC 2022 年 2 月 20 日 (日) 17 時 35 分 22 秒 (日本時間)

73×10272+539

c196

composite cofactor 合成数の残り
1669321937719151642161154453947529022443942353256967163803490590894796439683899178535852317153931954254348332857661722711117256136466193213560500276365440004453224517206202644831907236909361156941<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:49:07 UTC 2021 年 5 月 15 日 (土) 19 時 49 分 7 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 07:17:07 UTC 2022 年 2 月 20 日 (日) 16 時 17 分 7 秒 (日本時間)

73×10274+539

c247

composite cofactor 合成数の残り
2468335286828849383615344695238828874696578172748767620758847495163208329979291025824833504782799189111686259335655174568467415061095718737736157420445150724153414541542592043943091895746836590178320783045014682004619235349902154409977806817781549<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:48:56 UTC 2021 年 5 月 15 日 (土) 19 時 48 分 56 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 18:12:03 UTC 2022 年 2 月 22 日 (火) 3 時 12 分 3 秒 (日本時間)

73×10275+539

c220

composite cofactor 合成数の残り
1538782926410923481436685987289368452125767286337027996063988163966956220906187096953454608489511782238181438348602215505065878032047338907445314937726775406343493228736242107690680222031727942889713351988844563816051059<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:48:45 UTC 2021 年 5 月 15 日 (土) 19 時 48 分 45 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 08:06:51 UTC 2022 年 2 月 22 日 (火) 17 時 6 分 51 秒 (日本時間)

73×10276+539

c196

composite cofactor 合成数の残り
1533362052274557815914883000802067686420953803447455592124805510103315739058473610263788107488482012657156405272707660287692391210101976421054649668486692970956775414784089141936591902846284724433<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:48:36 UTC 2021 年 5 月 15 日 (土) 19 時 48 分 36 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 07:28:47 UTC 2022 年 2 月 22 日 (火) 16 時 28 分 47 秒 (日本時間)

73×10277+539

c262

composite cofactor 合成数の残り
1401446801709147291337576310706112316322849570294018530245720515599221465817018200719503754542139498956429267588879602385344755742592373897963371108256824780855025022149841199124300147309036870142943863409608309311329864287738215303444419303415640417175865269039<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:48:25 UTC 2021 年 5 月 15 日 (土) 19 時 48 分 25 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 14:09:19 UTC 2022 年 3 月 5 日 (土) 23 時 9 分 19 秒 (日本時間)

73×10278+539

c263

composite cofactor 合成数の残り
45975770015075037268325123895199886860202988169326685614904706273265749399074613458030409932056802538130577155957308877764664207029731188760110798654081071034400488679504161697973487878163107733620907709871020368150351789701593462845977016703757777218908179909803<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:48:14 UTC 2021 年 5 月 15 日 (土) 19 時 48 分 14 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 01:03:29 UTC 2022 年 3 月 5 日 (土) 10 時 3 分 29 秒 (日本時間)

73×10280+539

c245

composite cofactor 合成数の残り
20557939999239450579993254121738639318210947574756668448444792650283651801887393582167666227923929608729739582237368198655621220283614462045145632684381660194826529964423828616436614617664246764264511124867095187723653801821806480016078841831851<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:48:04 UTC 2021 年 5 月 15 日 (土) 19 時 48 分 4 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 15:48:35 UTC 2022 年 2 月 22 日 (火) 0 時 48 分 35 秒 (日本時間)

73×10281+539

c242

composite cofactor 合成数の残り
20518850380650131341727457891810792375658047080696345757228527706493413254087472745654761502128321910250892597966116894206507613703003634966929889695602181691024969689436109488121471936548596147427862464506533754522302852263330580660590605659<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:47:52 UTC 2021 年 5 月 15 日 (土) 19 時 47 分 52 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 04:35:38 UTC 2022 年 2 月 22 日 (火) 13 時 35 分 38 秒 (日本時間)

73×10283+539

c214

composite cofactor 合成数の残り
1007060822989284499112599816803064720954828486548460243657654767625982789556630549185799955377427454019611558821727309359488844972427435955496566874893215186118983016408340837488151936599268891576136304105283728991<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:47:40 UTC 2021 年 5 月 15 日 (土) 19 時 47 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 18:57:30 UTC 2022 年 2 月 23 日 (水) 3 時 57 分 30 秒 (日本時間)

73×10285+539

c247

composite cofactor 合成数の残り
1310956052304064229521039727669910578435426064310326626006524795379648101884844892505782757564112449055698576411083884143178897883737130994431167472192105841043299933051928584323525898240841800419851971143240111902509145884206552212630892017371061<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:47:30 UTC 2021 年 5 月 15 日 (土) 19 時 47 分 30 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 16:56:46 UTC 2022 年 2 月 23 日 (水) 1 時 56 分 46 秒 (日本時間)

73×10286+539

c227

composite cofactor 合成数の残り
23607374115887219520256659346864845408421092323676046270451176303994382620102215387837366801535077012943212677224611793479668214727159952395487335616917902006358578524244003574239366246161407125672130054121026609723258364029491<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:47:12 UTC 2021 年 5 月 15 日 (土) 19 時 47 分 12 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 00:23:09 UTC 2022 年 2 月 22 日 (火) 9 時 23 分 9 秒 (日本時間)

73×10287+539

c270

composite cofactor 合成数の残り
452180874880080172476553591894778700588451979844209062368656883644965069167255249729100212677910176227544844091465635898660747182140379090862802353614998089594055993998016397304934954278534919894981821538129175438195234517271636175597709460085961352729920617680433997633<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:47:03 UTC 2021 年 5 月 15 日 (土) 19 時 47 分 3 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 15:11:21 UTC 2022 年 3 月 7 日 (月) 0 時 11 分 21 秒 (日本時間)

73×10288+539

c207

name 名前Marlon Trifunovic
date 日付February 21, 2022 18:02:23 UTC 2022 年 2 月 22 日 (火) 3 時 2 分 23 秒 (日本時間)
composite number 合成数
112116427114963098990766766161382078623752529569110787997782538010834955191139611939388292001386880057432736932907746546342188998333327469696297241287696034205015741501300057955351280334925016041749921484517<207>
prime factors 素因数
653651759801431056725706488536924421<36>
composite cofactor 合成数の残り
171523177951853560653940451975439215537418825032201278949545331056658544511060222400621089493770285849429670760413310494456008287220434852197365738849490760251537976622177<171>
factorization results 素因数分解の結果
Run 341 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3736339673
Step 1 took 18917ms
Step 2 took 7712ms
********** Factor found in step 2: 653651759801431056725706488536924421
Found prime factor of 36 digits: 653651759801431056725706488536924421
Composite cofactor 171523177951853560653940451975439215537418825032201278949545331056658544511060222400621089493770285849429670760413310494456008287220434852197365738849490760251537976622177 has 171 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:46:54 UTC 2021 年 5 月 15 日 (土) 19 時 46 分 54 秒 (日本時間)
403e62937587Marlon TrifunovicFebruary 21, 2022 16:31:38 UTC 2022 年 2 月 22 日 (火) 1 時 31 分 38 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2022 15:50:42 UTC 2022 年 2 月 23 日 (水) 0 時 50 分 42 秒 (日本時間)
4511e64480Ignacio SantosMarch 3, 2022 22:12:47 UTC 2022 年 3 月 4 日 (金) 7 時 12 分 47 秒 (日本時間)

73×10289+539

c217

composite cofactor 合成数の残り
1892983487166723606149171429209833318250797491397135033048144766244118687444825389763364769693460268722575315507343093092426755394329905366313968361638591063684909425483860973752532390472156541785692757930875241179437<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:46:44 UTC 2021 年 5 月 15 日 (土) 19 時 46 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 19:02:09 UTC 2022 年 2 月 21 日 (月) 4 時 2 分 9 秒 (日本時間)

73×10293+539

c258

name 名前Eric Jeancolas
date 日付May 13, 2021 20:23:40 UTC 2021 年 5 月 14 日 (金) 5 時 23 分 40 秒 (日本時間)
composite number 合成数
555679178839527305496299389673112773819335883551168857589522743259870122453541656467898735634185312443503401733003160266479048444782446722592716046068182656441748548206231874546364619587827326469493330343151187359651965401251481824640339107248989349221934329<258>
prime factors 素因数
3411336167304497429039833802849942719<37>
162891943680415102119811573484967561028453006645510219773287156974974110536115625110015851656799377914065113311719268287707892389855614257060058059982428637643255458422621381200312041983431750988962056610626502785797125191<222>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 555679178839527305496299389673112773819335883551168857589522743259870122453541656467898735634185312443503401733003160266479048444782446722592716046068182656441748548206231874546364619587827326469493330343151187359651965401251481824640339107248989349221934329 (258 digits)
Run 368 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:564462116
Step 1 took 11032ms
Step 2 took 5630ms
********** Factor found in step 2: 3411336167304497429039833802849942719
Found prime factor of 37 digits: 3411336167304497429039833802849942719
Prime cofactor 162891943680415102119811573484967561028453006645510219773287156974974110536115625110015851656799377914065113311719268287707892389855614257060058059982428637643255458422621381200312041983431750988962056610626502785797125191 has 222 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6368 / 902Eric JeancolasMay 13, 2021 20:19:53 UTC 2021 年 5 月 14 日 (金) 5 時 19 分 53 秒 (日本時間)

73×10294+539

c265

composite cofactor 合成数の残り
1182335449674715536324660271457543053000967868904764410076754063991561976560102638590315558828769399028030350892958122457942965506690235383238494972196117555611261234842124990325365026633961210672953925407067003849340245509632703807110900011842618462698951685891833<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:46:31 UTC 2021 年 5 月 15 日 (土) 19 時 46 分 31 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 5, 2022 18:47:06 UTC 2022 年 3 月 6 日 (日) 3 時 47 分 6 秒 (日本時間)

73×10295+539

c277

composite cofactor 合成数の残り
2541258289854693145019105952524570194974784418056645448877341730560643135435480631929881533182958748131566391219534420622352428167908068084017782426148269791198466805735565767322636178747945612651493115779367411635640373109177735059584430233007387043821342577377362642183496469<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:46:21 UTC 2021 年 5 月 15 日 (土) 19 時 46 分 21 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 08:08:00 UTC 2022 年 3 月 9 日 (水) 17 時 8 分 0 秒 (日本時間)

73×10296+539

c257

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:54:35 UTC 2022 年 4 月 15 日 (金) 9 時 54 分 35 秒 (日本時間)
composite number 合成数
58791245663072714815731978153856370105597954911767997949203572982358946972664575517770790981326751789530552862567584320331200082910768928114110907590320037720428122288108487451913418073942055356318394542353750214143140126897453412701071797111508001973544097<257>
prime factors 素因数
17127710424605051295139029094611174307<38>
composite cofactor 合成数の残り
3432522164703072681653422627280599315821230624660411690773757257943225472982289489276967290635151028819408996372750938501952833027270057241994424847609270181096030114357039126719096156202745180056811078338977736210356971<220>
factorization results 素因数分解の結果
Run 58 out of 587:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2712900983
Step 1 took 26238ms
Step 2 took 9837ms
********** Factor found in step 2: 17127710424605051295139029094611174307
Found prime factor of 38 digits: 17127710424605051295139029094611174307
Composite cofactor 3432522164703072681653422627280599315821230624660411690773757257943225472982289489276967290635151028819408996372750938501952833027270057241994424847609270181096030114357039126719096156202745180056811078338977736210356971 has 220 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:46:09 UTC 2021 年 5 月 15 日 (土) 19 時 46 分 9 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 16:14:04 UTC 2022 年 3 月 5 日 (土) 1 時 14 分 4 秒 (日本時間)

73×10297+539

c271

composite cofactor 合成数の残り
7065358542819880582443648116219235961105015247532691803620177248117826369081392278700369222020558835534144586044947229612604612535580512477374642193246255541733156488473785291763012239515641532440730288386853041044573471487514872837871830326593864870408851757929672257861<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:46:00 UTC 2021 年 5 月 15 日 (土) 19 時 46 分 0 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 3, 2022 22:03:24 UTC 2022 年 3 月 4 日 (金) 7 時 3 分 24 秒 (日本時間)

73×10298+539

c263

composite cofactor 合成数の残り
31080166271897031784724753687755320360373961151232723871197771605373175860918452179967620717107259520202863108661719337190327486611471501659428211739832155977626681658733729334273842364323108360765774916405598039214837365964441242804142929648373506493134154379729<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:45:50 UTC 2021 年 5 月 15 日 (土) 19 時 45 分 50 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 02:38:30 UTC 2022 年 3 月 6 日 (日) 11 時 38 分 30 秒 (日本時間)

73×10299+539

c271

composite cofactor 合成数の残り
1260193987307550563768290846929742522081798190787984105757844519261949432181458518936464469434079142444225091011072062024506050528202673666300246550716847692344102481258843606517939568921874123313452713426889610218748218892782646288743540196471688235678592058230805340273<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 15, 2021 10:45:40 UTC 2021 年 5 月 15 日 (土) 19 時 45 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 8, 2022 17:45:02 UTC 2022 年 3 月 9 日 (水) 2 時 45 分 2 秒 (日本時間)