Table of contents 目次

8×10102-113

c94

name 名前Serge Batalov
date 日付August 24, 2008 22:05:31 UTC 2008 年 8 月 25 日 (月) 7 時 5 分 31 秒 (日本時間)
composite number 合成数
1303998294942685466447248806768902972446460444933734162001625398992691667717090268173731856487<94>
prime factors 素因数
919296806573087122167025368337737943218105509<45>
1418473648139463334070630967104623852741892124443<49>
factorization results 素因数分解の結果
Number: 26663_102
N=1303998294942685466447248806768902972446460444933734162001625398992691667717090268173731856487
  ( 94 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=919296806573087122167025368337737943218105509 (pp45)
 r2=1418473648139463334070630967104623852741892124443 (pp49)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 0.29 hours.
Scaled time: 0.99 units (timescale=3.423).
Factorization parameters were as follows:
n: 1303998294942685466447248806768902972446460444933734162001625398992691667717090268173731856487
Y1: 1
Y0: -200000000000000000000
c5: 25
c0: -11
skew: 0.85
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [175000, 235001)
Relations: rels:882623, finalFF:80529
Initial matrix: 55859 x 80529 with sparse part having weight 2078125.
Pruned matrix : 44104 x 44447 with weight 826916.
Total sieving time: 0.27 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.29 hours.
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Q6600/Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10103-113

c81

name 名前Robert Backstrom
date 日付August 24, 2008 20:06:42 UTC 2008 年 8 月 25 日 (月) 5 時 6 分 42 秒 (日本時間)
composite number 合成数
625384912382905433497831556663133629465431712905651150435013281886485743164365451<81>
prime factors 素因数
32310722809845102049503136009<29>
19355336495052044162304280966510001150870536267517939<53>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 625384912382905433497831556663133629465431712905651150435013281886485743164365451 (81 digits)
Using B1=716000, B2=696728352, polynomial Dickson(3), sigma=3553693662
Step 1 took 3813ms
Step 2 took 2156ms
********** Factor found in step 2: 32310722809845102049503136009
Found probable prime factor of 29 digits: 32310722809845102049503136009
Probable prime cofactor 19355336495052044162304280966510001150870536267517939 has 53 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10108-113

c98

name 名前Sinkiti Sibata
date 日付August 25, 2008 08:43:13 UTC 2008 年 8 月 25 日 (月) 17 時 43 分 13 秒 (日本時間)
composite number 合成数
11033944467365903002128818726215243331323909804489387465948599250155133200443654428583548751967923<98>
prime factors 素因数
9478218721635962950063775331955797995694998263<46>
1164136932415231088051595778237945031400502778838821<52>
factorization results 素因数分解の結果
Msieve v. 1.36
Mon Aug 25 10:36:30 2008
random seeds: 38e93f28 18cf46c6
factoring 1103394446736590300212881872621524333132390980448938746594859925015513
3200443654428583548751967923 (98 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (98-digit input)
using multiplier of 3
using 32kb Intel Core sieve core
sieve interval: 36 blocks of size 32768
processing polynomials in batches of 6
using a sieve bound of 2439067 (89109 primes)
using large prime bound of 365860050 (28 bits)
using double large prime bound of 2593981779484650 (43-52 bits)
using trial factoring cutoff of 52 bits
polynomial 'A' values have 13 factors

sieving in progress (press Ctrl-C to pause)
89224 relations (20824 full + 68400 combined from 1362659 partial), need 89205
89224 relations (20824 full + 68400 combined from 1362659 partial), need 89205
sieving complete, commencing postprocessing
begin with 1383483 relations
reduce to 237176 relations in 10 passes
attempting to read 237176 relations
recovered 237176 relations
recovered 226560 polynomials
attempting to build 89224 cycles
found 89224 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 20824
   length 2 : 15190
   length 3 : 14918
   length 4 : 12146
   length 5 : 9457
   length 6 : 6438
   length 7 : 4306
   length 9+: 5945
largest cycle: 21 relations
matrix is 89109 x 89224 (24.4 MB) with weight 6042868 (67.73/col)
sparse part has weight 6042868 (67.73/col)
filtering completed in 3 passes
matrix is 85635 x 85699 (23.6 MB) with weight 5842727 (68.18/col)
sparse part has weight 5842727 (68.18/col)
saving the first 48 matrix rows for later
matrix is 85587 x 85699 (14.7 MB) with weight 4635880 (54.09/col)
sparse part has weight 3342133 (39.00/col)
matrix includes 64 packed rows
using block size 34279 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 14.2 MB
linear algebra completed 80326 out of 85699 dimensions (93.7%)
lanczos halted after 1355 iterations (dim = 85586)
recovered 17 nontrivial dependencies
prp46 factor: 9478218721635962950063775331955797995694998263
prp52 factor: 1164136932415231088051595778237945031400502778838821
elapsed time 06:57:03

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10110-113

c102

name 名前Sinkiti Sibata
date 日付August 26, 2008 03:05:57 UTC 2008 年 8 月 26 日 (火) 12 時 5 分 57 秒 (日本時間)
composite number 合成数
631507246534207911192348413807687128209531875179469919179694694711489848004360096537028735655007995383<102>
prime factors 素因数
16332279646114817898481597976376858514229176394471<50>
38666203384806306112733511010467776636962683473769073<53>
factorization results 素因数分解の結果
Mon Aug 25 15:02:36 2008  Msieve v. 1.36
Mon Aug 25 15:02:36 2008  random seeds: fad24d48 84aab7b6
Mon Aug 25 15:02:36 2008  factoring 631507246534207911192348413807687128209531875179469919179694694711489848004360096537028735655007995383 (102 digits)
Mon Aug 25 15:02:37 2008  no P-1/P+1/ECM available, skipping
Mon Aug 25 15:02:38 2008  commencing quadratic sieve (102-digit input)
Mon Aug 25 15:02:38 2008  using multiplier of 3
Mon Aug 25 15:02:38 2008  using 32kb Intel Core sieve core
Mon Aug 25 15:02:38 2008  sieve interval: 36 blocks of size 32768
Mon Aug 25 15:02:38 2008  processing polynomials in batches of 6
Mon Aug 25 15:02:38 2008  using a sieve bound of 3264419 (117500 primes)
Mon Aug 25 15:02:38 2008  using large prime bound of 489662850 (28 bits)
Mon Aug 25 15:02:38 2008  using double large prime bound of 4383437839720350 (44-52 bits)
Mon Aug 25 15:02:38 2008  using trial factoring cutoff of 52 bits
Mon Aug 25 15:02:38 2008  polynomial 'A' values have 13 factors
Tue Aug 26 11:57:29 2008  117764 relations (27401 full + 90363 combined from 1765490 partial), need 117596
Tue Aug 26 11:57:34 2008  begin with 1792891 relations
Tue Aug 26 11:57:36 2008  reduce to 313570 relations in 12 passes
Tue Aug 26 11:57:36 2008  attempting to read 313570 relations
Tue Aug 26 11:57:44 2008  recovered 313570 relations
Tue Aug 26 11:57:44 2008  recovered 305981 polynomials
Tue Aug 26 11:57:44 2008  attempting to build 117764 cycles
Tue Aug 26 11:57:44 2008  found 117764 cycles in 6 passes
Tue Aug 26 11:57:44 2008  distribution of cycle lengths:
Tue Aug 26 11:57:44 2008     length 1 : 27401
Tue Aug 26 11:57:44 2008     length 2 : 19789
Tue Aug 26 11:57:44 2008     length 3 : 19479
Tue Aug 26 11:57:44 2008     length 4 : 16071
Tue Aug 26 11:57:44 2008     length 5 : 12409
Tue Aug 26 11:57:44 2008     length 6 : 8719
Tue Aug 26 11:57:44 2008     length 7 : 5710
Tue Aug 26 11:57:44 2008     length 9+: 8186
Tue Aug 26 11:57:44 2008  largest cycle: 24 relations
Tue Aug 26 11:57:45 2008  matrix is 117500 x 117764 (34.8 MB) with weight 8659607 (73.53/col)
Tue Aug 26 11:57:45 2008  sparse part has weight 8659607 (73.53/col)
Tue Aug 26 11:57:46 2008  filtering completed in 3 passes
Tue Aug 26 11:57:46 2008  matrix is 113226 x 113290 (33.6 MB) with weight 8365111 (73.84/col)
Tue Aug 26 11:57:46 2008  sparse part has weight 8365111 (73.84/col)
Tue Aug 26 11:57:47 2008  saving the first 48 matrix rows for later
Tue Aug 26 11:57:47 2008  matrix is 113178 x 113290 (23.7 MB) with weight 6978451 (61.60/col)
Tue Aug 26 11:57:47 2008  sparse part has weight 5540716 (48.91/col)
Tue Aug 26 11:57:47 2008  matrix includes 64 packed rows
Tue Aug 26 11:57:47 2008  using block size 45316 for processor cache size 2048 kB
Tue Aug 26 11:57:48 2008  commencing Lanczos iteration
Tue Aug 26 11:57:48 2008  memory use: 21.2 MB
Tue Aug 26 11:59:27 2008  lanczos halted after 1792 iterations (dim = 113178)
Tue Aug 26 11:59:27 2008  recovered 18 nontrivial dependencies
Tue Aug 26 11:59:29 2008  prp50 factor: 16332279646114817898481597976376858514229176394471
Tue Aug 26 11:59:29 2008  prp53 factor: 38666203384806306112733511010467776636962683473769073
Tue Aug 26 11:59:29 2008  elapsed time 20:56:53

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10113-113

c85

name 名前Serge Batalov
date 日付August 24, 2008 20:19:02 UTC 2008 年 8 月 25 日 (月) 5 時 19 分 2 秒 (日本時間)
composite number 合成数
3697161395642594715145547845696911974342125553234116133620464452526327268032786889871<85>
prime factors 素因数
6149421791025899547499894967<28>
601220980001406340971556885053700885153827701171358855913<57>
factorization results 素因数分解の結果
Sun Aug 24 12:53:43 2008  Msieve v. 1.36
Sun Aug 24 12:53:43 2008  random seeds: 7f72a470 3623d00f
Sun Aug 24 12:53:43 2008  factoring 3697161395642594715145547845696911974342125553234116133620464452526327268032786889871 (85 digits)
Sun Aug 24 12:53:43 2008  searching for 15-digit factors
Sun Aug 24 12:53:44 2008  commencing quadratic sieve (85-digit input)
Sun Aug 24 12:53:44 2008  using multiplier of 47
Sun Aug 24 12:53:44 2008  using 32kb Intel Core sieve core
Sun Aug 24 12:53:44 2008  sieve interval: 12 blocks of size 32768
Sun Aug 24 12:53:44 2008  processing polynomials in batches of 17
Sun Aug 24 12:53:44 2008  using a sieve bound of 1422583 (54412 primes)
Sun Aug 24 12:53:44 2008  using large prime bound of 116651806 (26 bits)
Sun Aug 24 12:53:44 2008  using double large prime bound of 331439743440844 (41-49 bits)
Sun Aug 24 12:53:44 2008  using trial factoring cutoff of 49 bits
Sun Aug 24 12:53:44 2008  polynomial 'A' values have 11 factors
Sun Aug 24 13:17:41 2008  54639 relations (16031 full + 38608 combined from 572576 partial), need 54508
Sun Aug 24 13:17:42 2008  begin with 588606 relations
Sun Aug 24 13:17:43 2008  reduce to 127985 relations in 11 passes
Sun Aug 24 13:17:43 2008  attempting to read 127985 relations
Sun Aug 24 13:17:44 2008  recovered 127985 relations
Sun Aug 24 13:17:44 2008  recovered 109198 polynomials
Sun Aug 24 13:17:44 2008  attempting to build 54639 cycles
Sun Aug 24 13:17:44 2008  found 54639 cycles in 6 passes
Sun Aug 24 13:17:44 2008  distribution of cycle lengths:
Sun Aug 24 13:17:44 2008     length 1 : 16031
Sun Aug 24 13:17:44 2008     length 2 : 11091
Sun Aug 24 13:17:44 2008     length 3 : 9819
Sun Aug 24 13:17:44 2008     length 4 : 6949
Sun Aug 24 13:17:44 2008     length 5 : 4532
Sun Aug 24 13:17:44 2008     length 6 : 2756
Sun Aug 24 13:17:44 2008     length 7 : 1649
Sun Aug 24 13:17:44 2008     length 9+: 1812
Sun Aug 24 13:17:44 2008  largest cycle: 19 relations
Sun Aug 24 13:17:44 2008  matrix is 54412 x 54639 (12.2 MB) with weight 2973852 (54.43/col)
Sun Aug 24 13:17:44 2008  sparse part has weight 2973852 (54.43/col)
Sun Aug 24 13:17:44 2008  filtering completed in 3 passes
Sun Aug 24 13:17:44 2008  matrix is 49179 x 49239 (11.1 MB) with weight 2708823 (55.01/col)
Sun Aug 24 13:17:44 2008  sparse part has weight 2708823 (55.01/col)
Sun Aug 24 13:17:44 2008  saving the first 48 matrix rows for later
Sun Aug 24 13:17:45 2008  matrix is 49131 x 49239 (7.1 MB) with weight 2122297 (43.10/col)
Sun Aug 24 13:17:45 2008  sparse part has weight 1554725 (31.58/col)
Sun Aug 24 13:17:45 2008  matrix includes 64 packed rows
Sun Aug 24 13:17:45 2008  using block size 19695 for processor cache size 4096 kB
Sun Aug 24 13:17:45 2008  commencing Lanczos iteration
Sun Aug 24 13:17:45 2008  memory use: 7.0 MB
Sun Aug 24 13:17:55 2008  lanczos halted after 779 iterations (dim = 49130)
Sun Aug 24 13:17:55 2008  recovered 17 nontrivial dependencies
Sun Aug 24 13:17:57 2008  prp28 factor: 6149421791025899547499894967
Sun Aug 24 13:17:57 2008  prp57 factor: 601220980001406340971556885053700885153827701171358855913
Sun Aug 24 13:17:57 2008  elapsed time 00:24:14
execution environment 実行環境
Q6600/Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10114-113

c113

name 名前Robert Backstrom
date 日付August 24, 2008 21:41:44 UTC 2008 年 8 月 25 日 (月) 6 時 41 分 44 秒 (日本時間)
composite number 合成数
29962546816479400749063670411985018726591760299625468164794007490636704119850187265917602996254681647940074906367<113>
prime factors 素因数
2259115997850597640784499152946323<34>
13262951900206461666213310460070950876252932275320620693018204736411989385181029<80>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 29962546816479400749063670411985018726591760299625468164794007490636704119850187265917602996254681647940074906367 (113 digits)
Using B1=1054000, B2=1045563762, polynomial Dickson(6), sigma=3402612825
Step 1 took 8203ms
Step 2 took 4407ms
********** Factor found in step 2: 2259115997850597640784499152946323
Found probable prime factor of 34 digits: 2259115997850597640784499152946323
Probable prime cofactor 13262951900206461666213310460070950876252932275320620693018204736411989385181029 has 80 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10115-113

c88

name 名前Sinkiti Sibata
date 日付August 25, 2008 01:19:12 UTC 2008 年 8 月 25 日 (月) 10 時 19 分 12 秒 (日本時間)
composite number 合成数
8195798058257650035222798926893206468073882016281189047624546008259499372911085174775551<88>
prime factors 素因数
36394744129187324330831066302113920077<38>
225191803222073042077948412162190617679629996439163<51>
factorization results 素因数分解の結果
Msieve v. 1.36
Mon Aug 25 09:12:26 2008
random seeds: 022eeabf 0fc3ee48
factoring 8195798058257650035222798926893206468073882016281189047624546008259499
372911085174775551 (88 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (88-digit input)
using multiplier of 15
using 32kb Intel Core sieve core
sieve interval: 28 blocks of size 32768
processing polynomials in batches of 8
using a sieve bound of 1533799 (58333 primes)
using large prime bound of 122703920 (26 bits)
using double large prime bound of 363032185823760 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
58733 relations (16463 full + 42270 combined from 612585 partial), need 58429
58733 relations (16463 full + 42270 combined from 612585 partial), need 58429
sieving complete, commencing postprocessing
begin with 629048 relations
reduce to 140284 relations in 10 passes
attempting to read 140284 relations
recovered 140284 relations
recovered 117682 polynomials
attempting to build 58733 cycles
found 58733 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16463
   length 2 : 11455
   length 3 : 10354
   length 4 : 7733
   length 5 : 5344
   length 6 : 3310
   length 7 : 1921
   length 9+: 2153
largest cycle: 18 relations
matrix is 58333 x 58733 (14.2 MB) with weight 3477966 (59.22/col)
sparse part has weight 3477966 (59.22/col)
filtering completed in 3 passes
matrix is 53756 x 53820 (13.0 MB) with weight 3201859 (59.49/col)
sparse part has weight 3201859 (59.49/col)
saving the first 48 matrix rows for later
matrix is 53708 x 53820 (9.4 MB) with weight 2620040 (48.68/col)
sparse part has weight 2132255 (39.62/col)
matrix includes 64 packed rows
using block size 21528 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 8.6 MB
lanczos halted after 851 iterations (dim = 53706)
recovered 17 nontrivial dependencies
prp38 factor: 36394744129187324330831066302113920077
prp51 factor: 225191803222073042077948412162190617679629996439163
elapsed time 00:54:52

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10123-113

c118

name 名前Robert Backstrom
date 日付August 25, 2008 14:29:12 UTC 2008 年 8 月 25 日 (月) 23 時 29 分 12 秒 (日本時間)
composite number 合成数
4157967419206794950356467744307872539587747925304194297659532114321235207381223762575902395872801539695335332276170117<118>
prime factors 素因数
642613838830751806249659095006571736039311649<45>
6470398189326729013605156656933550973595555578999795769319970345586959333<73>
factorization results 素因数分解の結果
Number: n
N=4157967419206794950356467744307872539587747925304194297659532114321235207381223762575902395872801539695335332276170117
  ( 118 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=642613838830751806249659095006571736039311649 (pp45)
 r2=6470398189326729013605156656933550973595555578999795769319970345586959333 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.50 hours.
Scaled time: 2.74 units (timescale=1.827).
Factorization parameters were as follows:
name: KA_2_6_122_3
n: 4157967419206794950356467744307872539587747925304194297659532114321235207381223762575902395872801539695335332276170117
type: snfs
skew: 0.54
deg: 5
c5: 250
c0: -11
m: 2000000000000000000000000
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 260001)
Primes: RFBsize:56543, AFBsize:56529, largePrimes:4753006 encountered
Relations: rels:3997616, finalFF:139366
Max relations in full relation-set: 48
Initial matrix: 113138 x 139366 with sparse part having weight 13526645.
Pruned matrix : 104170 x 104799 with weight 7166986.
Total sieving time: 1.29 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.09 hours, sqrts: 6.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,700000,700000,28,28,50,50,2.5,2.5,50000
total time: 1.50 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10126-113

c124

name 名前Sinkiti Sibata
date 日付August 25, 2008 05:59:53 UTC 2008 年 8 月 25 日 (月) 14 時 59 分 53 秒 (日本時間)
composite number 合成数
7640878701050620821394460362941738299904489016236867239732569245463228271251193887297039159503342884431709646609360076408787<124>
prime factors 素因数
1077539553478360533230464619964479<34>
7091042436804680319855247362684038701737502682164360896283654857951232009654026676364876653<91>
factorization results 素因数分解の結果
Number: 26663_126
N=7640878701050620821394460362941738299904489016236867239732569245463228271251193887297039159503342884431709646609360076408787
  ( 124 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=1077539553478360533230464619964479 (pp34)
 r2=7091042436804680319855247362684038701737502682164360896283654857951232009654026676364876653 (pp91)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.46 hours.
Scaled time: 2.70 units (timescale=0.780).
Factorization parameters were as follows:
name: 26663_126
n: 7640878701050620821394460362941738299904489016236867239732569245463228271251193887297039159503342884431709646609360076408787
m: 20000000000000000000000000
c5: 5
c0: -22
skew: 1.34
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:49098, AFBsize:63744, largePrimes:2346493 encountered
Relations: rels:2596068, finalFF:320129
Max relations in full relation-set: 28
Initial matrix: 112907 x 320129 with sparse part having weight 33834564.
Pruned matrix : 89415 x 90043 with weight 8750419.
Total sieving time: 3.31 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.46 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10128-113

c129

name 名前Robert Backstrom
date 日付August 25, 2008 06:03:10 UTC 2008 年 8 月 25 日 (月) 15 時 3 分 10 秒 (日本時間)
composite number 合成数
266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<129>
prime factors 素因数
497804025886962506207714390938400623<36>
535686038680649951068585178875042757472954243229661921056248994248736475025875054178317329481<93>
factorization results 素因数分解の結果
Number: n
N=266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 129 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=497804025886962506207714390938400623 (pp36)
 r2=535686038680649951068585178875042757472954243229661921056248994248736475025875054178317329481 (pp93)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.27 hours.
Scaled time: 2.96 units (timescale=0.905).
Factorization parameters were as follows:
name: KA_2_6_127_3
n: 266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
type: snfs
skew: 0.54
deg: 5
c5: 250
c0: -11
m: 20000000000000000000000000
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 360001)
Primes: RFBsize:56543, AFBsize:56529, largePrimes:5287037 encountered
Relations: rels:4505640, finalFF:143302
Max relations in full relation-set: 48
Initial matrix: 113138 x 143302 with sparse part having weight 17608215.
Pruned matrix : 105459 x 106088 with weight 9691679.
Total sieving time: 2.98 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,700000,700000,28,28,50,50,2.5,2.5,50000
total time: 3.27 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10132-113

c89

name 名前Serge Batalov
date 日付August 24, 2008 19:52:41 UTC 2008 年 8 月 25 日 (月) 4 時 52 分 41 秒 (日本時間)
composite number 合成数
30417223065719202025408393332329506476088430781684930885264026157024451489312987907070721<89>
prime factors 素因数
2878173973878396344472623824273<31>
10568236438025805805146214006943933895776577890265004772977<59>
factorization results 素因数分解の結果
Sun Aug 24 12:23:27 2008  Msieve v. 1.36
Sun Aug 24 12:23:27 2008  random seeds: 91c7b3f0 39fd5771
Sun Aug 24 12:23:27 2008  factoring 30417223065719202025408393332329506476088430781684930885264026157024451489312987907070721 (89 digits)
Sun Aug 24 12:23:27 2008  searching for 15-digit factors
Sun Aug 24 12:23:28 2008  commencing quadratic sieve (89-digit input)
Sun Aug 24 12:23:28 2008  using multiplier of 1
Sun Aug 24 12:23:28 2008  using 32kb Intel Core sieve core
Sun Aug 24 12:23:28 2008  sieve interval: 30 blocks of size 32768
Sun Aug 24 12:23:28 2008  processing polynomials in batches of 7
Sun Aug 24 12:23:28 2008  using a sieve bound of 1546697 (58666 primes)
Sun Aug 24 12:23:28 2008  using large prime bound of 123735760 (26 bits)
Sun Aug 24 12:23:28 2008  using double large prime bound of 368545723802400 (42-49 bits)
Sun Aug 24 12:23:28 2008  using trial factoring cutoff of 49 bits
Sun Aug 24 12:23:28 2008  polynomial 'A' values have 11 factors
Sun Aug 24 12:49:33 2008  59095 relations (17383 full + 41712 combined from 602353 partial), need 58762
Sun Aug 24 12:49:34 2008  begin with 619735 relations
Sun Aug 24 12:49:34 2008  reduce to 137172 relations in 9 passes
Sun Aug 24 12:49:34 2008  attempting to read 137172 relations
Sun Aug 24 12:49:35 2008  recovered 137172 relations
Sun Aug 24 12:49:35 2008  recovered 103123 polynomials
Sun Aug 24 12:49:35 2008  attempting to build 59095 cycles
Sun Aug 24 12:49:35 2008  found 59095 cycles in 5 passes
Sun Aug 24 12:49:35 2008  distribution of cycle lengths:
Sun Aug 24 12:49:35 2008     length 1 : 17383
Sun Aug 24 12:49:35 2008     length 2 : 12291
Sun Aug 24 12:49:35 2008     length 3 : 10403
Sun Aug 24 12:49:35 2008     length 4 : 7514
Sun Aug 24 12:49:35 2008     length 5 : 5032
Sun Aug 24 12:49:35 2008     length 6 : 2924
Sun Aug 24 12:49:35 2008     length 7 : 1676
Sun Aug 24 12:49:35 2008     length 9+: 1872
Sun Aug 24 12:49:35 2008  largest cycle: 16 relations
Sun Aug 24 12:49:36 2008  matrix is 58666 x 59095 (13.6 MB) with weight 3325898 (56.28/col)
Sun Aug 24 12:49:36 2008  sparse part has weight 3325898 (56.28/col)
Sun Aug 24 12:49:36 2008  filtering completed in 4 passes
Sun Aug 24 12:49:36 2008  matrix is 53129 x 53193 (12.3 MB) with weight 3012466 (56.63/col)
Sun Aug 24 12:49:36 2008  sparse part has weight 3012466 (56.63/col)
Sun Aug 24 12:49:36 2008  saving the first 48 matrix rows for later
Sun Aug 24 12:49:36 2008  matrix is 53081 x 53193 (8.4 MB) with weight 2389276 (44.92/col)
Sun Aug 24 12:49:36 2008  sparse part has weight 1875750 (35.26/col)
Sun Aug 24 12:49:36 2008  matrix includes 64 packed rows
Sun Aug 24 12:49:36 2008  using block size 21277 for processor cache size 4096 kB
Sun Aug 24 12:49:37 2008  commencing Lanczos iteration
Sun Aug 24 12:49:37 2008  memory use: 7.9 MB
Sun Aug 24 12:49:50 2008  lanczos halted after 841 iterations (dim = 53079)
Sun Aug 24 12:49:50 2008  recovered 16 nontrivial dependencies
Sun Aug 24 12:49:50 2008  prp31 factor: 2878173973878396344472623824273
Sun Aug 24 12:49:50 2008  prp59 factor: 10568236438025805805146214006943933895776577890265004772977
Sun Aug 24 12:49:50 2008  elapsed time 00:26:23
software ソフトウェア
Msieve-1.36/QS
execution environment 実行環境
Q6600/Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10135-113

c90

name 名前Serge Batalov
date 日付August 24, 2008 21:26:37 UTC 2008 年 8 月 25 日 (月) 6 時 26 分 37 秒 (日本時間)
composite number 合成数
589068489131815076485354105182151500327586386083290131231332775086317716668600958529355479<90>
prime factors 素因数
760367035665068717323133747416114223399<39>
774715974656339115136575138199572212734645113395921<51>
factorization results 素因数分解の結果
Sun Aug 24 13:20:02 2008  Msieve v. 1.36
Sun Aug 24 13:20:02 2008  random seeds: fbaa4548 d5ff5a09
Sun Aug 24 13:20:02 2008  factoring 589068489131815076485354105182151500327586386083290131231332775086317716668600958529355479 (90 digits)
Sun Aug 24 13:20:03 2008  searching for 15-digit factors
Sun Aug 24 13:20:04 2008  commencing quadratic sieve (90-digit input)
Sun Aug 24 13:20:04 2008  using multiplier of 31
Sun Aug 24 13:20:04 2008  using 32kb Intel Core sieve core
Sun Aug 24 13:20:04 2008  sieve interval: 36 blocks of size 32768
Sun Aug 24 13:20:04 2008  processing polynomials in batches of 6
Sun Aug 24 13:20:04 2008  using a sieve bound of 1615223 (61176 primes)
Sun Aug 24 13:20:04 2008  using large prime bound of 135678732 (27 bits)
Sun Aug 24 13:20:04 2008  using double large prime bound of 435031874203416 (42-49 bits)
Sun Aug 24 13:20:04 2008  using trial factoring cutoff of 49 bits
Sun Aug 24 13:20:04 2008  polynomial 'A' values have 12 factors
Sun Aug 24 14:23:42 2008  61374 relations (16026 full + 45348 combined from 666990 partial), need 61272
Sun Aug 24 14:23:44 2008  begin with 683015 relations
Sun Aug 24 14:23:44 2008  reduce to 150768 relations in 11 passes
Sun Aug 24 14:23:44 2008  attempting to read 150768 relations
Sun Aug 24 14:23:45 2008  recovered 150768 relations
Sun Aug 24 14:23:45 2008  recovered 132163 polynomials
Sun Aug 24 14:23:46 2008  attempting to build 61374 cycles
Sun Aug 24 14:23:46 2008  found 61374 cycles in 5 passes
Sun Aug 24 14:23:46 2008  distribution of cycle lengths:
Sun Aug 24 14:23:46 2008     length 1 : 16026
Sun Aug 24 14:23:46 2008     length 2 : 11796
Sun Aug 24 14:23:46 2008     length 3 : 10722
Sun Aug 24 14:23:46 2008     length 4 : 8278
Sun Aug 24 14:23:46 2008     length 5 : 5853
Sun Aug 24 14:23:46 2008     length 6 : 3771
Sun Aug 24 14:23:46 2008     length 7 : 2257
Sun Aug 24 14:23:46 2008     length 9+: 2671
Sun Aug 24 14:23:46 2008  largest cycle: 20 relations
Sun Aug 24 14:23:46 2008  matrix is 61176 x 61374 (15.1 MB) with weight 3710603 (60.46/col)
Sun Aug 24 14:23:46 2008  sparse part has weight 3710603 (60.46/col)
Sun Aug 24 14:23:46 2008  filtering completed in 4 passes
Sun Aug 24 14:23:46 2008  matrix is 57514 x 57578 (14.3 MB) with weight 3511473 (60.99/col)
Sun Aug 24 14:23:46 2008  sparse part has weight 3511473 (60.99/col)
Sun Aug 24 14:23:46 2008  saving the first 48 matrix rows for later
Sun Aug 24 14:23:46 2008  matrix is 57466 x 57578 (9.1 MB) with weight 2779570 (48.27/col)
Sun Aug 24 14:23:46 2008  sparse part has weight 2038144 (35.40/col)
Sun Aug 24 14:23:46 2008  matrix includes 64 packed rows
Sun Aug 24 14:23:46 2008  using block size 23031 for processor cache size 4096 kB
Sun Aug 24 14:23:47 2008  commencing Lanczos iteration
Sun Aug 24 14:23:47 2008  memory use: 8.8 MB
Sun Aug 24 14:24:02 2008  lanczos halted after 911 iterations (dim = 57464)
Sun Aug 24 14:24:02 2008  recovered 16 nontrivial dependencies
Sun Aug 24 14:24:03 2008  prp39 factor: 760367035665068717323133747416114223399
Sun Aug 24 14:24:03 2008  prp51 factor: 774715974656339115136575138199572212734645113395921
Sun Aug 24 14:24:03 2008  elapsed time 01:04:01
execution environment 実行環境
Q6600/Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10136-113

c107

name 名前Sinkiti Sibata
date 日付August 25, 2008 07:59:08 UTC 2008 年 8 月 25 日 (月) 16 時 59 分 8 秒 (日本時間)
composite number 合成数
17638215801424946277538705205049357412849843641681158464695470568727377018710107384739025942038188662837529<107>
prime factors 素因数
1571318684431170472268584011635077965756373<43>
11225104096442483874271543011120612457408910397229839548437445173<65>
factorization results 素因数分解の結果
Number: 26663_136
N=17638215801424946277538705205049357412849843641681158464695470568727377018710107384739025942038188662837529
  ( 107 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1571318684431170472268584011635077965756373 (pp43)
 r2=11225104096442483874271543011120612457408910397229839548437445173 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.52 hours.
Scaled time: 6.91 units (timescale=0.657).
Factorization parameters were as follows:
name: 26663_136
n: 17638215801424946277538705205049357412849843641681158464695470568727377018710107384739025942038188662837529
m: 2000000000000000000000000000
c5: 5
c0: -22
skew: 1.34
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:63744, largePrimes:1792261 encountered
Relations: rels:1939159, finalFF:299448
Max relations in full relation-set: 28
Initial matrix: 142307 x 299448 with sparse part having weight 29445787.
Pruned matrix : 112486 x 113261 with weight 11386504.
Total sieving time: 10.31 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.52 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10138-113

c108

name 名前Sinkiti Sibata
date 日付August 25, 2008 04:36:50 UTC 2008 年 8 月 25 日 (月) 13 時 36 分 50 秒 (日本時間)
composite number 合成数
942539240449598799728657907393877165710658736278448078722000554709399106887259501615297280227529767560912327<108>
prime factors 素因数
4022953384627041789849995127289<31>
234290370863190928348570573401696087817693212086985056963495641872571535390143<78>
factorization results 素因数分解の結果
Number: 26663_138
N=942539240449598799728657907393877165710658736278448078722000554709399106887259501615297280227529767560912327
  ( 108 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=4022953384627041789849995127289 (pp31)
 r2=234290370863190928348570573401696087817693212086985056963495641872571535390143 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.64 hours.
Scaled time: 9.25 units (timescale=0.869).
Factorization parameters were as follows:
name: 26663_138
n: 942539240449598799728657907393877165710658736278448078722000554709399106887259501615297280227529767560912327
m: 2000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:64024, largePrimes:1644943 encountered
Relations: rels:1676321, finalFF:186319
Max relations in full relation-set: 28
Initial matrix: 142588 x 186319 with sparse part having weight 19451277.
Pruned matrix : 131689 x 132465 with weight 12236740.
Total sieving time: 10.38 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.64 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10139-113

c140

name 名前Robert Backstrom
date 日付August 25, 2008 10:36:58 UTC 2008 年 8 月 25 日 (月) 19 時 36 分 58 秒 (日本時間)
composite number 合成数
26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<140>
prime factors 素因数
959282682025957797850608113019113<33>
27798549026599729182324561097530178917531373289574911508549281342744062452451420379597840926261692683566351<107>
factorization results 素因数分解の結果
Number: n
N=26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 140 digits)
SNFS difficulty: 140 digits.
Divisors found:

Mon Aug 25 20:32:13 2008  prp33 factor: 959282682025957797850608113019113
Mon Aug 25 20:32:13 2008  prp107 factor: 27798549026599729182324561097530178917531373289574911508549281342744062452451420379597840926261692683566351
Mon Aug 25 20:32:13 2008  elapsed time 00:17:59 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.66 hours.
Scaled time: 10.35 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_6_138_3
n: 26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
type: snfs
skew: 1.69
deg: 5
c5: 4
c0: -55
m: 10000000000000000000000000000
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 560001)
Primes: RFBsize:92938, AFBsize:92975, largePrimes:7002152 encountered
Relations: rels:6006723, finalFF:211320
Max relations in full relation-set: 28
Initial matrix: 185977 x 211320 with sparse part having weight 22376445.
Pruned matrix : 
Total sieving time: 4.96 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,50,50,2.5,2.5,100000
total time: 5.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10141-113

c138

name 名前Sinkiti Sibata
date 日付August 25, 2008 21:48:31 UTC 2008 年 8 月 26 日 (火) 6 時 48 分 31 秒 (日本時間)
composite number 合成数
486351753906012523557663079822481609824305428901452975864794212414128518450969663809350112468843090765396072709587208948872271870630433461<138>
prime factors 素因数
42566066342315420407961503276609805239725144032539524413928807061<65>
11425809234867554634313801966008971003354585779235506262097186026891882401<74>
factorization results 素因数分解の結果
Number: 26663_141
N=486351753906012523557663079822481609824305428901452975864794212414128518450969663809350112468843090765396072709587208948872271870630433461
  ( 138 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=42566066342315420407961503276609805239725144032539524413928807061 (pp65)
 r2=11425809234867554634313801966008971003354585779235506262097186026891882401 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.88 hours.
Scaled time: 15.04 units (timescale=1.011).
Factorization parameters were as follows:
name: 26663_141
n: 486351753906012523557663079822481609824305428901452975864794212414128518450969663809350112468843090765396072709587208948872271870630433461
m: 20000000000000000000000000000
c5: 5
c0: -22
skew: 1.34
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:100104, largePrimes:3163162 encountered
Relations: rels:3417143, finalFF:483950
Max relations in full relation-set: 28
Initial matrix: 200190 x 483950 with sparse part having weight 54374487.
Pruned matrix : 151850 x 152914 with weight 22718147.
Total sieving time: 14.49 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 14.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10143-113

c133

name 名前Sinkiti Sibata
date 日付August 25, 2008 11:49:43 UTC 2008 年 8 月 25 日 (月) 20 時 49 分 43 秒 (日本時間)
composite number 合成数
2195009312883842615956312494274824259880177803431059411666199434226845762617106919694017756641960595544954965800031013549434101030161<133>
prime factors 素因数
74131706740520134432488133381283627<35>
473918783322639150993506355219846282948081391<45>
62478190973515905091229270530795437441876297718914173<53>
factorization results 素因数分解の結果
Number: 26663_143
N=2195009312883842615956312494274824259880177803431059411666199434226845762617106919694017756641960595544954965800031013549434101030161
  ( 133 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=74131706740520134432488133381283627 (pp35)
 r2=473918783322639150993506355219846282948081391 (pp45)
 r3=62478190973515905091229270530795437441876297718914173 (pp53)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.89 hours.
Scaled time: 12.93 units (timescale=1.003).
Factorization parameters were as follows:
name: 26663_143
n: 2195009312883842615956312494274824259880177803431059411666199434226845762617106919694017756641960595544954965800031013549434101030161
m: 20000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:100179, largePrimes:2890914 encountered
Relations: rels:2943556, finalFF:305165
Max relations in full relation-set: 28
Initial matrix: 200266 x 305165 with sparse part having weight 33397507.
Pruned matrix : 173998 x 175063 with weight 17976771.
Total sieving time: 12.62 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 12.89 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10148-113

c147

name 名前Sinkiti Sibata
date 日付August 25, 2008 21:40:05 UTC 2008 年 8 月 26 日 (火) 6 時 40 分 5 秒 (日本時間)
composite number 合成数
293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293<147>
prime factors 素因数
631170595247677325494007511276201721<36>
737524339058375728078988025299221609<36>
629512306969773167184550234503027158972717529174606520898597164110023596037<75>
factorization results 素因数分解の結果
Number: 26663_148
N=293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293
  ( 147 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=631170595247677325494007511276201721 (pp36)
 r2=737524339058375728078988025299221609 (pp36)
 r3=629512306969773167184550234503027158972717529174606520898597164110023596037 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.94 hours.
Scaled time: 21.21 units (timescale=1.013).
Factorization parameters were as follows:
name: 26663_148
n: 293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293
m: 200000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3650001)
Primes: RFBsize:114155, AFBsize:114243, largePrimes:3091916 encountered
Relations: rels:3208626, finalFF:346994
Max relations in full relation-set: 28
Initial matrix: 228464 x 346994 with sparse part having weight 42238202.
Pruned matrix : 199407 x 200613 with weight 24522224.
Total sieving time: 20.55 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 20.94 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10153-113

c144

name 名前Sinkiti Sibata
date 日付August 26, 2008 05:12:13 UTC 2008 年 8 月 26 日 (火) 14 時 12 分 13 秒 (日本時間)
composite number 合成数
347701484939610441804361875586216038235238225528174779157242115236783754412850842678285896895876743219937012988495149260111487140603869530857249<144>
prime factors 素因数
9584647896404527490150217237474587315829821200029362091271254431753<67>
36276917910572708977019726585543332934889029681264749296841149667688620319833<77>
factorization results 素因数分解の結果
Number: 26663_153
N=347701484939610441804361875586216038235238225528174779157242115236783754412850842678285896895876743219937012988495149260111487140603869530857249
  ( 144 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=9584647896404527490150217237474587315829821200029362091271254431753 (pp67)
 r2=36276917910572708977019726585543332934889029681264749296841149667688620319833 (pp77)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.00 hours.
Scaled time: 24.07 units (timescale=1.003).
Factorization parameters were as follows:
name: 26663_153
n: 347701484939610441804361875586216038235238225528174779157242115236783754412850842678285896895876743219937012988495149260111487140603869530857249
m: 2000000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176244, largePrimes:5838800 encountered
Relations: rels:5925527, finalFF:616857
Max relations in full relation-set: 28
Initial matrix: 352612 x 616857 with sparse part having weight 59940685.
Pruned matrix : 264646 x 266473 with weight 31491438.
Total sieving time: 23.08 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 24.00 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10155-113

c126

name 名前Sinkiti Sibata
date 日付August 28, 2008 06:13:32 UTC 2008 年 8 月 28 日 (木) 15 時 13 分 32 秒 (日本時間)
composite number 合成数
196336387850666898435886985994390947515578847455806385406582232661469625771635883806609574286096836768770851495960073560800051<126>
prime factors 素因数
8627089357765378991076246682719777963998610241<46>
22758126142966332417669133587283570000761657492867169951767849493683399601751411<80>
factorization results 素因数分解の結果
Number: 26663_155
N=196336387850666898435886985994390947515578847455806385406582232661469625771635883806609574286096836768770851495960073560800051
  ( 126 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=8627089357765378991076246682719777963998610241 (pp46)
 r2=22758126142966332417669133587283570000761657492867169951767849493683399601751411 (pp80)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 38.18 hours.
Scaled time: 18.02 units (timescale=0.472).
Factorization parameters were as follows:
name: 26663_155
n: 196336387850666898435886985994390947515578847455806385406582232661469625771635883806609574286096836768770851495960073560800051
m: 10000000000000000000000000000000
c5: 8
c0: -11
skew: 1.07
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2500001)
Primes: RFBsize:216816, AFBsize:216082, largePrimes:5574642 encountered
Relations: rels:5553841, finalFF:573445
Max relations in full relation-set: 28
Initial matrix: 432963 x 573445 with sparse part having weight 42953283.
Pruned matrix : 333445 x 335673 with weight 26446379.
Total sieving time: 34.16 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.70 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 38.18 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10157-113

c154

name 名前Serge Batalov
date 日付August 26, 2008 21:21:06 UTC 2008 年 8 月 27 日 (水) 6 時 21 分 6 秒 (日本時間)
composite number 合成数
2409130604992923178847833288162134489716023729936459180293311651157888397024723702833739874122925889119763905200710693528472912337760110820007829674466227<154>
prime factors 素因数
1105327928036418569669147130317306733637<40>
2179561869275003655805053554544359944708001505318774837743094477875371215017299055737728009643796884495907468594071<115>
factorization results 素因数分解の結果
Number: 26663_157
N=2409130604992923178847833288162134489716023729936459180293311651157888397024723702833739874122925889119763905200710693528472912337760110820007829674466227
  ( 154 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1105327928036418569669147130317306733637
 r2=2179561869275003655805053554544359944708001505318774837743094477875371215017299055737728009643796884495907468594071
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
n: 2409130604992923178847833288162134489716023729936459180293311651157888397024723702833739874122925889119763905200710693528472912337760110820007829674466227
Y1: 1
Y0: -20000000000000000000000000000000
c5: 25
c0: -11
skew: 0.85
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1500000, 2300001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 496232 x 496474
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,52,52,2.5,2.5,100000
total time: 15.20 hours.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10158-113

c156

name 名前Serge Batalov
date 日付August 26, 2008 05:00:24 UTC 2008 年 8 月 26 日 (火) 14 時 0 分 24 秒 (日本時間)
composite number 合成数
103319126953377243962288518662017305953764690688363683326875887898747255585690300916957251711223040165310603125403590339661629859227689526023505101381893323<156>
prime factors 素因数
85645030255583612491797176677799392292263<41>
1206364533295746858405918018055464413960376241979912931904257349702717955872012065492560876276627423631920046146621<115>
factorization results 素因数分解の結果
Number: 26663_158
N=103319126953377243962288518662017305953764690688363683326875887898747255585690300916957251711223040165310603125403590339661629859227689526023505101381893323
  ( 156 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=85645030255583612491797176677799392292263
 r2=1206364533295746858405918018055464413960376241979912931904257349702717955872012065492560876276627423631920046146621
Version: 
Total time: 22.37 hours.
Scaled time: 76.54 units (timescale=3.422).
Factorization parameters were as follows:
n: 103319126953377243962288518662017305953764690688363683326875887898747255585690300916957251711223040165310603125403590339661629859227689526023505101381893323
Y1: 1
Y0: -20000000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 490121 x 490369
Total sieving time: 22.37 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 22.37 hours.
software ソフトウェア
Msieve-1.36
execution environment 実行環境
Q6600/Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10162-113

c122

name 名前Sinkiti Sibata
date 日付August 27, 2008 04:51:10 UTC 2008 年 8 月 27 日 (水) 13 時 51 分 10 秒 (日本時間)
composite number 合成数
93165095709803910034220755200074213920442816991906500418090991135299650476503556714014354208663641612641625384792826506391<122>
prime factors 素因数
4696433042047289514966970256674200476261<40>
19837415944333569454521178385670584763249729870811764701051961027139351921162624331<83>
factorization results 素因数分解の結果
Number: 26663_162
N=93165095709803910034220755200074213920442816991906500418090991135299650476503556714014354208663641612641625384792826506391
  ( 122 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=4696433042047289514966970256674200476261 (pp40)
 r2=19837415944333569454521178385670584763249729870811764701051961027139351921162624331 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 53.91 hours.
Scaled time: 54.39 units (timescale=1.009).
Factorization parameters were as follows:
name: 26663_162
n: 93165095709803910034220755200074213920442816991906500418090991135299650476503556714014354208663641612641625384792826506391
m: 200000000000000000000000000000000
c5: 25
c0: -11
skew: 0.85
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4350001)
Primes: RFBsize:315948, AFBsize:315742, largePrimes:5978765 encountered
Relations: rels:6297572, finalFF:922018
Max relations in full relation-set: 28
Initial matrix: 631754 x 922018 with sparse part having weight 52727144.
Pruned matrix : 405565 x 408787 with weight 39479532.
Total sieving time: 52.40 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.34 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 53.91 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10163-113

c119

name 名前Serge Batalov
date 日付August 28, 2008 10:37:52 UTC 2008 年 8 月 28 日 (木) 19 時 37 分 52 秒 (日本時間)
composite number 合成数
11848291465185322644709783710930277954304746404731360294607998144533448422134791685213367257651306885901437134349420511<119>
prime factors 素因数
301147670230833087243353381876753817878047<42>
39343792552349727779693072074780867921299727848712907400115696799639680859713<77>
factorization results 素因数分解の結果
Number: 26663_163
N=11848291465185322644709783710930277954304746404731360294607998144533448422134791685213367257651306885901437134349420511
  ( 119 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=301147670230833087243353381876753817878047
 r2=39343792552349727779693072074780867921299727848712907400115696799639680859713
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 11848291465185322644709783710930277954304746404731360294607998144533448422134791685213367257651306885901437134349420511
Y1: 1
Y0: -200000000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 2850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 741400 x 741648
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.5,2.5,100000
total time: 14.00 hours.
software ソフトウェア
***Msieve-1.37***
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 27, 2008 21:33:28 UTC 2008 年 8 月 28 日 (木) 6 時 33 分 28 秒 (日本時間)

8×10164-113

c146

name 名前Serge Batalov
date 日付August 27, 2008 06:42:01 UTC 2008 年 8 月 27 日 (水) 15 時 42 分 1 秒 (日本時間)
composite number 合成数
49725704556137704423661216041118247090543159706357700166536221229855719898668239377118176390602691592764816991212007988200923867119167385875197611<146>
prime factors 素因数
10865659052292619388679044078475137<35>
4576409430557803066039585822705526398937317357435248022811589980525323757752016816620470019755082138495042370603<112>
factorization results 素因数分解の結果
Using B1=25000000, B2=96190324246, polynomial Dickson(12), sigma=2919656688
Step 1 took 173974ms
Step 2 took 45112ms
********** Factor found in step 2: 10865659052292619388679044078475137
Found probable prime factor of 35 digits: 10865659052292619388679044078475137
Probable prime cofactor 4576409430557803066039585822705526398937317357435248022811589980525323757752016816620470019755082138495042370603 has 112 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10165-113

c157

name 名前Robert Backstrom
date 日付September 1, 2008 02:43:26 UTC 2008 年 9 月 1 日 (月) 11 時 43 分 26 秒 (日本時間)
composite number 合成数
1441951960246082360764268417591729632910128417810088023130093284906523100277052882542186121907079037104833973273686096487538783909255696393232530195633467051<157>
prime factors 素因数
892943739843446667190715388245117<33>
392527646794798165127898569877809173341146158091463648461<57>
4113925703226251734064538448395755445011135196921757070023860615523<67>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1441951960246082360764268417591729632910128417810088023130093284906523100277052882542186121907079037104833973273686096487538783909255696393232530195633467051 (157 digits)
Using B1=2610000, B2=3568033570, polynomial Dickson(6), sigma=2799032758
Step 1 took 31469ms
Step 2 took 12031ms
********** Factor found in step 2: 892943739843446667190715388245117
Found probable prime factor of 33 digits: 892943739843446667190715388245117
Composite cofactor 1614829575376035798972495961314039512335349400212716937196026101586056506417632008295855000696288207767290358854258751660103 has 124 digits


Number: n
N=1614829575376035798972495961314039512335349400212716937196026101586056506417632008295855000696288207767290358854258751660103
  ( 124 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Sep  1 12:19:26 2008  prp57 factor: 392527646794798165127898569877809173341146158091463648461
Mon Sep  1 12:19:26 2008  prp67 factor: 4113925703226251734064538448395755445011135196921757070023860615523
Mon Sep  1 12:19:26 2008  elapsed time 01:21:42 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 12.27 hours.
Scaled time: 10.29 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_2_6_164_3
n: 1614829575376035798972495961314039512335349400212716937196026101586056506417632008295855000696288207767290358854258751660103
type: snfs
skew: 2.13
deg: 5
c5: 1
c0: -44
m: 2000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 1400001)
Primes: RFBsize:348513, AFBsize:347567, largePrimes:11994991 encountered
Relations: rels:11300458, finalFF:810381
Max relations in full relation-set: 28
Initial matrix: 696143 x 810381 with sparse part having weight 59295126.
Pruned matrix : 
Total sieving time: 12.01 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,52,52,2.5,2.5,100000
total time: 12.27 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10166-113

c160

name 名前Robert Backstrom
date 日付September 2, 2008 03:25:41 UTC 2008 年 9 月 2 日 (火) 12 時 25 分 41 秒 (日本時間)
composite number 合成数
6742913850762627770842409927524633339309240733571712195242419131602039630296147933461263266366927288715640955683294439363377903151022642957570130307653030219127<160>
prime factors 素因数
651701029217118246663040446269232348044819826548758806571194117322481623985581<78>
10346636798875123657678542081026145261494185181631514140254760838629797607664649267<83>
factorization results 素因数分解の結果
Number: n
N=6742913850762627770842409927524633339309240733571712195242419131602039630296147933461263266366927288715640955683294439363377903151022642957570130307653030219127
  ( 160 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Sep  2 13:14:52 2008  prp78 factor: 651701029217118246663040446269232348044819826548758806571194117322481623985581
Tue Sep  2 13:14:52 2008  prp83 factor: 10346636798875123657678542081026145261494185181631514140254760838629797607664649267
Tue Sep  2 13:14:52 2008  elapsed time 01:26:16 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 22.59 hours.
Scaled time: 18.93 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_2_6_165_3
n: 6742913850762627770842409927524633339309240733571712195242419131602039630296147933461263266366927288715640955683294439363377903151022642957570130307653030219127
type: snfs
skew: 1.34
deg: 5
c5: 5
c0: -22
m: 2000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 2600001)
Primes: RFBsize:348513, AFBsize:348587, largePrimes:13964706 encountered
Relations: rels:13838473, finalFF:1133567
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Loading matrix into RAM...
Matrix scanned: it should be 697165 x 1133567.
Found 6 dense blocks. Re-reading matrix...
The dense blocks consist of the following sets of rows:
[697101, 697164]
[0, 63]
[64, 127]
[128, 191]
[348513, 348576]
[348577, 348640]
Matrix loaded: it is 697165 x 1133567.
Warning: column 121076 is all zero!
checkMat() did not like something about the matrix:
This is probably a sign that something has gone horribly wrong
in the matrix construction (matbuild).
However, the number of bad columns is only 1,
so we will delete them and attempt to continue.
checkMat() returned some error! Terminating...
Return value 65280. Terminating...

Total sieving time: 22.25 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,52,52,2.5,2.5,100000
total time: 22.59 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10168-113

c118

name 名前Sinkiti Sibata
date 日付August 31, 2008 22:31:14 UTC 2008 年 9 月 1 日 (月) 7 時 31 分 14 秒 (日本時間)
composite number 合成数
2238778764670036419303891122295571160842294590325316161112993170253842339716470732568621665558861692124847724391510927<118>
prime factors 素因数
8673076109373383322045834079530356383323130570903067<52>
258129726574229822024593324520497107330628067659816506194390087581<66>
factorization results 素因数分解の結果
Number: 26663_168
N=2238778764670036419303891122295571160842294590325316161112993170253842339716470732568621665558861692124847724391510927
  ( 118 digits)
Divisors found:
 r1=8673076109373383322045834079530356383323130570903067 (pp52)
 r2=258129726574229822024593324520497107330628067659816506194390087581 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 82.55 hours.
Scaled time: 38.96 units (timescale=0.472).
Factorization parameters were as follows:
name: 26663_168
n: 2238778764670036419303891122295571160842294590325316161112993170253842339716470732568621665558861692124847724391510927
skew: 87948.71
# norm 6.50e+15
c5: 3300
c4: -2150396930
c3: -27162499434620
c2: 11425700944262902017
c1: -153744611732049114131170
c0: -9212687014339136827415685337
# alpha -5.65
Y1: 3149785904737
Y0: -58385163583490247768414
# Murphy_E 4.08e-10
# M 75257000721508686292250693276166591660463930381830897805141574721611218468907349199283468006029506246273595166527328
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3810001)
Primes: RFBsize:315948, AFBsize:315291, largePrimes:7527907 encountered
Relations: rels:7516576, finalFF:709664
Max relations in full relation-set: 28
Initial matrix: 631318 x 709664 with sparse part having weight 55983557.
Pruned matrix : 563555 x 566775 with weight 38359589.
Polynomial selection time: 3.98 hours.
Total sieving time: 63.38 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 14.05 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 82.55 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 26, 2008 01:20:56 UTC 2008 年 8 月 26 日 (火) 10 時 20 分 56 秒 (日本時間)

8×10170-113

c138

name 名前Sinkiti Sibata
date 日付August 30, 2008 21:32:11 UTC 2008 年 8 月 31 日 (日) 6 時 32 分 11 秒 (日本時間)
composite number 合成数
173146672021881921378896373090978957549911838084851329459712681790545591628898153652066417156764183279951056853213653990375319291436029897<138>
prime factors 素因数
21444720061961923459119388271642272065257<41>
8074093367579318645109991039242689165888372857971148977391463264840925662722940362463996964183521<97>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 173146672021881921378896373090978957549911838084851329459712681790545591628898153652066417156764183279951056853213653990375319291436029897

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1148971329
Step 1 took 48953ms
Step 2 took 16973ms
********** Factor found in step 2: 21444720061961923459119388271642272065257
Found probable prime factor of 41 digits: 21444720061961923459119388271642272065257
Probable prime cofactor 8074093367579318645109991039242689165888372857971148977391463264840925662722940362463996964183521 has 97 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10172-113

c155

name 名前Serge Batalov
date 日付October 4, 2008 20:42:32 UTC 2008 年 10 月 5 日 (日) 5 時 42 分 32 秒 (日本時間)
composite number 合成数
89572918807992084599135765143735520891413934611338714495828143684100870450188258262831597166069426537504778163501521975640172727386960968697358477424437887<155>
prime factors 素因数
379919932959707519722966083766347941284954305359<48>
235767884328121729344442224036858091022336279014513197183862800102339634118624490038634191101266307973040593<108>
factorization results 素因数分解の結果
SNFS difficulty: 172 digits.
Divisors found:
 r1=379919932959707519722966083766347941284954305359
 r2=235767884328121729344442224036858091022336279014513197183862800102339634118624490038634191101266307973040593
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 89572918807992084599135765143735520891413934611338714495828143684100870450188258262831597166069426537504778163501521975640172727386960968697358477424437887
Y1: 1
Y0: -20000000000000000000000000000000000
c5: 25
c0: -11
skew: 0.85
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 6700001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1208103 x 1208351
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10173-113

c122

name 名前Ignacio Santos
date 日付April 22, 2009 13:23:09 UTC 2009 年 4 月 22 日 (水) 22 時 23 分 9 秒 (日本時間)
composite number 合成数
91925099566840514579862159855723574163615261031069756391977117342379508653758020321481439131791263848497042220577026880061<122>
prime factors 素因数
2420995607054671044108003821518248239767<40>
37969957194046514176647750464622844630717776681886775745942777306692010895939678283<83>
factorization results 素因数分解の結果
Number: 26663_173
N=91925099566840514579862159855723574163615261031069756391977117342379508653758020321481439131791263848497042220577026880061
  ( 122 digits)
Divisors found:
 r1=2420995607054671044108003821518248239767 (pp40)
 r2=37969957194046514176647750464622844630717776681886775745942777306692010895939678283 (pp83)
Version: Msieve-1.39
Total time: 54.53 hours.
Scaled time: 140.20 units (timescale=2.571).
Factorization parameters were as follows:
# Murphy_E = 2.150701e-10, selected by Jeff Gilchrist
n: 91925099566840514579862159855723574163615261031069756391977117342379508653758020321481439131791263848497042220577026880061
Y0: -349452957735598923964078
Y1: 10362996766331
c0: -1062632721513365353062035043615
c1: 316697255897387397597827777
c2: 1563572907539943899645
c3: -3712873729966849
c4: -11060071302
c5: 17640
skew: 347138.3
type: gnfs
# selected mechanically
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2950000, 5470001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809289 x 809537
Total sieving time: 54.53 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5900000,5900000,27,27,52,52,2.5,2.5,60000
total time: 54.53 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6904Serge BatalovAugust 26, 2008 07:21:03 UTC 2008 年 8 月 26 日 (火) 16 時 21 分 3 秒 (日本時間)

8×10175-113

c141

name 名前Warut Roonguthai
date 日付September 26, 2011 13:24:17 UTC 2011 年 9 月 26 日 (月) 22 時 24 分 17 秒 (日本時間)
composite number 合成数
948714575385255516867386745019772438468115089027083983080876755252172655396229716566810914666866386258309852313312648271655061302545483629731<141>
prime factors 素因数
54025826276493391367574786296889494563167553343221740395935210652729<68>
17560389924069347001274240579902185623944813868671728077363524416077047739<74>
factorization results 素因数分解の結果
N = 948714575385255516867386745019772438468115089027083983080876755252172655396229716566810914666866386258309852313312648271655061302545483629731 (141 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=54025826276493391367574786296889494563167553343221740395935210652729 (pp68)
r2=17560389924069347001274240579902185623944813868671728077363524416077047739 (pp74)
Version: Msieve v. 1.48
Total time: 26.93 hours.
Factorization parameters were as follows:
name: (8*10^175-11)/3
n: 948714575385255516867386745019772438468115089027083983080876755252172655396229716566810914666866386258309852313312648271655061302545483629731
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -11
c1: 0
c2: 0
c3: 0
c4: 0
c5: 8
skew: 1.07
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19866621
Relations: 2063650 relations
Pruned matrix : 1174364 x 1174606
Polynomial selection time: 0.00 hours.
Total sieving time: 24.63 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.84 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 26.93 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 15, 2010 09:56:51 UTC 2010 年 6 月 15 日 (火) 18 時 56 分 51 秒 (日本時間)
403e62075180Ignacio SantosJune 15, 2010 09:56:51 UTC 2010 年 6 月 15 日 (火) 18 時 56 分 51 秒 (日本時間)
1895Wataru SakaiJune 18, 2010 05:11:46 UTC 2010 年 6 月 18 日 (金) 14 時 11 分 46 秒 (日本時間)
4511e652 / 4006Ignacio SantosJune 15, 2010 09:56:51 UTC 2010 年 6 月 15 日 (火) 18 時 56 分 51 秒 (日本時間)

8×10177-113

c156

name 名前Robert Backstrom
date 日付January 16, 2012 04:19:12 UTC 2012 年 1 月 16 日 (月) 13 時 19 分 12 秒 (日本時間)
composite number 合成数
344517323391617043640423081209414111686693954150642010189618640139290019115823077711373754821830818531272760703044185623339380279739739597912164176456346791<156>
prime factors 素因数
691250163350737863279583338058427985562090907552928456956179<60>
498397456749402870804326981604791797310571553182860205624462286188178186440862830303194693174429<96>
factorization results 素因数分解の結果
Number: n
N=344517323391617043640423081209414111686693954150642010189618640139290019115823077711373754821830818531272760703044185623339380279739739597912164176456346791
  ( 156 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Jan 16 15:14:47 2012  prp60 factor: 691250163350737863279583338058427985562090907552928456956179
Mon Jan 16 15:14:47 2012  prp96 factor: 498397456749402870804326981604791797310571553182860205624462286188178186440862830303194693174429
Mon Jan 16 15:14:47 2012  elapsed time 02:00:42 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_26663_177
n: 344517323391617043640423081209414111686693954150642010189618640139290019115823077711373754821830818531272760703044185623339380279739739597912164176456346791
m: 200000000000000000000000000000000000
deg: 5
c5: 25
c0: -11
skew: 0.85
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6323686 hash collisions in 75000098 relations
Msieve: matrix is 996109 x 996357 (273.3 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
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 6, 2011 06:34:59 UTC 2011 年 5 月 6 日 (金) 15 時 34 分 59 秒 (日本時間)
2036Wataru SakaiNovember 8, 2011 13:41:20 UTC 2011 年 11 月 8 日 (火) 22 時 41 分 20 秒 (日本時間)

8×10178-113

c168

name 名前Serge Batalov
date 日付August 25, 2008 22:08:53 UTC 2008 年 8 月 26 日 (火) 7 時 8 分 53 秒 (日本時間)
composite number 合成数
607679180121274967403978066744182403667492587588020911544029430472757112218439421579444245166527129546491684269068494464771804353438185993305113868470061299603036819833<168>
prime factors 素因数
24902290071539505232947157370809<32>
composite cofactor 合成数の残り
24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137<137>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2294159883
Step 1 took 8351ms
Step 2 took 6372ms
********** Factor found in step 2: 24902290071539505232947157370809
Found probable prime factor of 32 digits: 24902290071539505232947157370809
Composite cofactor 24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137 has 137 digits
software ソフトウェア
GMP-ECM 6.2.1

c137

name 名前Dmitry Domanov
date 日付May 20, 2013 06:19:37 UTC 2013 年 5 月 20 日 (月) 15 時 19 分 37 秒 (日本時間)
composite number 合成数
24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137<137>
prime factors 素因数
78601882412449021557340380013816196055415373356484732803<56>
310457476097639491397464934909768780041647963234809076810487572813962624881359979<81>
factorization results 素因数分解の結果
N=24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137
  ( 137 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=78601882412449021557340380013816196055415373356484732803 (pp56)
 r2=310457476097639491397464934909768780041647963234809076810487572813962624881359979 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 83.34 hours.
Scaled time: 159.52 units (timescale=1.914).
Factorization parameters were as follows:
n: 24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137
m: 200000000000000000000000000000000000
deg: 5
c5: 250
c0: -11
skew: 0.54
# Murphy_E = 1.171e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 7750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1263972 x 1264205
Total sieving time: 81.46 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.55 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 83.34 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovMay 6, 2011 06:35:07 UTC 2011 年 5 月 6 日 (金) 15 時 35 分 7 秒 (日本時間)
2036Wataru SakaiMarch 22, 2012 05:32:21 UTC 2012 年 3 月 22 日 (木) 14 時 32 分 21 秒 (日本時間)

8×10179-113

c180

name 名前Wataru Sakai
date 日付September 2, 2008 13:35:23 UTC 2008 年 9 月 2 日 (火) 22 時 35 分 23 秒 (日本時間)
composite number 合成数
266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<180>
prime factors 素因数
4682209735745219226761500789554699502777<40>
56953165645456519175499917759107331724155107752653509943265611671232250463973830108138400277147620488064312051591440159053383107906533210719<140>
factorization results 素因数分解の結果
Number: 26663_179
N=266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 180 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=4682209735745219226761500789554699502777 (pp40)
 r2=56953165645456519175499917759107331724155107752653509943265611671232250463973830108138400277147620488064312051591440159053383107906533210719 (pp140)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 340.53 hours.
Scaled time: 686.16 units (timescale=2.015).
Factorization parameters were as follows:
n: 266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 1000000000000000000000000000000000000
c5: 4
c0: -55
skew: 1.69
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 7800001)
Primes: RFBsize:501962, AFBsize:500697, largePrimes:6409304 encountered
Relations: rels:6929357, finalFF:1194527
Max relations in full relation-set: 32
Initial matrix: 1002723 x 1194527 with sparse part having weight 57740419.
Pruned matrix : 833652 x 838729 with weight 41052163.
Total sieving time: 336.37 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 3.89 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 340.53 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkAugust 26, 2008 00:51:56 UTC 2008 年 8 月 26 日 (火) 9 時 51 分 56 秒 (日本時間)

8×10180-113

c124

name 名前Serge Batalov
date 日付August 26, 2008 00:01:08 UTC 2008 年 8 月 26 日 (火) 9 時 1 分 8 秒 (日本時間)
composite number 合成数
9739738543337798536117540076278817805556936227671908021923970712054817347472530994275959608801354729991079766529357525296673<124>
prime factors 素因数
3400747871425819708132739489<28>
38816920840993351478857495860128753476187<41>
73782230785092535333770078843852428216528975329015286611<56>
factorization results 素因数分解の結果
#ECM, then gnfs/Msieve
#
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1157696711
Step 1 took 5689ms
Step 2 took 3166ms
********** Factor found in step 2: 3400747871425819708132739489
Found probable prime factor of 28 digits: 3400747871425819708132739489
Composite cofactor 2863999011856839684189632857032227275314528666558642362791977590502022197508465810654828368432257 has 97 digits

Number: 26663_180
N=2863999011856839684189632857032227275314528666558642362791977590502022197508465810654828368432257
  ( 97 digits)
Divisors found:
 r1=38816920840993351478857495860128753476187
 r2=73782230785092535333770078843852428216528975329015286611
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.953).
Factorization parameters were as follows:
name: 26663_180
n: 2863999011856839684189632857032227275314528666558642362791977590502022197508465810654828368432257
skew: 4520.93
# norm 1.38e+13
c5: 32880
c4: 2367442
c3: -1766456187165
c2: 3692732179295755
c1: 21831126546193430705
c0: 6433261978193336300543
# alpha -5.40
Y1: 10108298959
Y0: -2443476604716635280
# Murphy_E 4.95e-09
# M 1500633408794892675967970158936107201052746886196142694054793555285370286000876464460094243978359
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1020001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123265 x 123498
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 1.70 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.36
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10181-113

c171

name 名前Robert Backstrom
date 日付February 8, 2012 23:27:19 UTC 2012 年 2 月 9 日 (木) 8 時 27 分 19 秒 (日本時間)
composite number 合成数
269912721994812512044162935060454467566832706044809152656611138676213821326137958450827706385614434213816032332994148520037350645684799746048583015114045544319362754121611<171>
prime factors 素因数
18057144754324462860980952700331403229136335844665561<53>
14947696641251754547842343415035403390374999327855981901663427093065122255797738079334758187412859310023657585899298051<119>
factorization results 素因数分解の結果
Number: n
N=269912721994812512044162935060454467566832706044809152656611138676213821326137958450827706385614434213816032332994148520037350645684799746048583015114045544319362754121611
  ( 171 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Feb  9 08:47:06 2012  prp53 factor: 18057144754324462860980952700331403229136335844665561
Thu Feb  9 08:47:06 2012  prp119 factor: 14947696641251754547842343415035403390374999327855981901663427093065122255797738079334758187412859310023657585899298051
Thu Feb  9 08:47:06 2012  elapsed time 02:46:33 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_26663_181
n: 269912721994812512044162935060454467566832706044809152656611138676213821326137958450827706385614434213816032332994148520037350645684799746048583015114045544319362754121611
m: 1000000000000000000000000000000000000
#  c171, diff: 181.9
skew: 0.67
deg: 5
c5: 80
c0: -11
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 5872633 hash collisions in 76674212 relations (73592060 unique)
Msieve: matrix is 1104654 x 1104902 (302.6 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
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:35:14 UTC 2011 年 5 月 6 日 (金) 15 時 35 分 14 秒 (日本時間)

8×10182-113

c168

name 名前Dmitry Domanov
date 日付June 10, 2013 07:47:14 UTC 2013 年 6 月 10 日 (月) 16 時 47 分 14 秒 (日本時間)
composite number 合成数
359020492307725000474397390958104070277179819777908911145493407609740111942634153043965119675426126694541723889272002446267715123944053854356684564216760899294492479089<168>
prime factors 素因数
8475499902573581263996757397354506625478168592500798701911<58>
42359801360944928964631947720614325632955369043544188991144268115697024826863555430137126174554178171500570999<110>
factorization results 素因数分解の結果
N=359020492307725000474397390958104070277179819777908911145493407609740111942634153043965119675426126694541723889272002446267715123944053854356684564216760899294492479089
  ( 168 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=8475499902573581263996757397354506625478168592500798701911 (pp58)
 r2=42359801360944928964631947720614325632955369043544188991144268115697024826863555430137126174554178171500570999 (pp110)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 102.61 hours.
Scaled time: 197.11 units (timescale=1.921).
Factorization parameters were as follows:
n: 359020492307725000474397390958104070277179819777908911145493407609740111942634153043965119675426126694541723889272002446267715123944053854356684564216760899294492479089
m: 2000000000000000000000000000000000000
deg: 5
c5: 25
c0: -11
skew: 0.85
# Murphy_E = 1.056e-10
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 9100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1294294 x 1294519
Total sieving time: 100.72 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 102.61 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
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:35:23 UTC 2011 年 5 月 6 日 (金) 15 時 35 分 23 秒 (日本時間)

8×10183-113

c153

name 名前Dmitry Domanov
date 日付June 10, 2013 07:47:40 UTC 2013 年 6 月 10 日 (月) 16 時 47 分 40 秒 (日本時間)
composite number 合成数
354683068038154279506528821565520973498765273160613617418040829630016819164068433062741486821541383478313628175731986493558547013666524129190930606434387<153>
prime factors 素因数
49831793350956489985242417352460516161305995881529470773853536950507340841<74>
7117605933629245167675877807300340490845454118454327558256317501871182661908507<79>
factorization results 素因数分解の結果
N=354683068038154279506528821565520973498765273160613617418040829630016819164068433062741486821541383478313628175731986493558547013666524129190930606434387
  ( 153 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=49831793350956489985242417352460516161305995881529470773853536950507340841 (pp74)
 r2=7117605933629245167675877807300340490845454118454327558256317501871182661908507 (pp79)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 133.86 hours.
Scaled time: 257.67 units (timescale=1.925).
Factorization parameters were as follows:
n: 354683068038154279506528821565520973498765273160613617418040829630016819164068433062741486821541383478313628175731986493558547013666524129190930606434387
m: 2000000000000000000000000000000000000
deg: 5
c5: 250
c0: -11
skew: 0.54
# Murphy_E = 7.355e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 10850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1627953 x 1628179
Total sieving time: 130.86 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.59 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 133.86 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:35:30 UTC 2011 年 5 月 6 日 (金) 15 時 35 分 30 秒 (日本時間)

8×10184-113

c147

name 名前Dmitry Domanov
date 日付August 12, 2013 07:41:36 UTC 2013 年 8 月 12 日 (月) 16 時 41 分 36 秒 (日本時間)
composite number 合成数
709804348029311432615361487605798179876088428922020417974742947307233090383079104007890690714875288602986448589650436943127068726085669473326205539<147>
prime factors 素因数
34959685135439599998350331169826504229320361037<47>
20303510894889700477831893503469072303144761723250664983278683534763804172351493338048257300517806447<101>
factorization results 素因数分解の結果
N=709804348029311432615361487605798179876088428922020417974742947307233090383079104007890690714875288602986448589650436943127068726085669473326205539
  ( 147 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=34959685135439599998350331169826504229320361037 (pp47)
 r2=20303510894889700477831893503469072303144761723250664983278683534763804172351493338048257300517806447 (pp101)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 114.97 hours.
Scaled time: 221.32 units (timescale=1.925).
Factorization parameters were as follows:
n: 709804348029311432615361487605798179876088428922020417974742947307233090383079104007890690714875288602986448589650436943127068726085669473326205539
m: 10000000000000000000000000000000000000
deg: 5
c5: 4
c0: -55
skew: 1.69
# Murphy_E = 8.725e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 9950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1383092 x 1383319
Total sieving time: 112.84 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 114.97 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:35:40 UTC 2011 年 5 月 6 日 (金) 15 時 35 分 40 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 13:59:08 UTC 2013 年 6 月 14 日 (金) 22 時 59 分 8 秒 (日本時間)
4511e6500 / 4192Dmitry DomanovJune 20, 2013 14:52:33 UTC 2013 年 6 月 20 日 (木) 23 時 52 分 33 秒 (日本時間)

8×10185-113

c149

name 名前Dmitry Domanov
date 日付August 26, 2013 06:30:51 UTC 2013 年 8 月 26 日 (月) 15 時 30 分 51 秒 (日本時間)
composite number 合成数
19993935534428470387311085534150682282359433967591630726737585678547487276933297437114835510244053204128828784768158608291226574120484760573868221767<149>
prime factors 素因数
13013802940951597013716957931948100032380127645081<50>
1536363784294898136685107662667115896363099264111800245159819346082195603147853594760951979276490207<100>
factorization results 素因数分解の結果
N=19993935534428470387311085534150682282359433967591630726737585678547487276933297437114835510244053204128828784768158608291226574120484760573868221767
  ( 149 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=13013802940951597013716957931948100032380127645081 (pp50)
 r2=1536363784294898136685107662667115896363099264111800245159819346082195603147853594760951979276490207 (pp100)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 126.18 hours.
Scaled time: 242.90 units (timescale=1.925).
Factorization parameters were as follows:
n: 19993935534428470387311085534150682282359433967591630726737585678547487276933297437114835510244053204128828784768158608291226574120484760573868221767
m: 10000000000000000000000000000000000000
deg: 5
c5: 8
c0: -11
skew: 1.07
# Murphy_E = 8.274e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 10400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1525430 x 1525656
Total sieving time: 123.15 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 126.18 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:35:47 UTC 2011 年 5 月 6 日 (金) 15 時 35 分 47 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 13:59:17 UTC 2013 年 6 月 14 日 (金) 22 時 59 分 17 秒 (日本時間)
4511e61600 / 4192800Dmitry DomanovJune 16, 2013 21:38:17 UTC 2013 年 6 月 17 日 (月) 6 時 38 分 17 秒 (日本時間)
800Dmitry DomanovJune 16, 2013 21:38:49 UTC 2013 年 6 月 17 日 (月) 6 時 38 分 49 秒 (日本時間)

8×10189-113

c143

name 名前Dmitry Domanov
date 日付April 24, 2013 05:21:06 UTC 2013 年 4 月 24 日 (水) 14 時 21 分 6 秒 (日本時間)
composite number 合成数
25792046001060299798728998337848599741167413752507514163946575815254366382424685443769460907080952510423066410491020637572821824164531357883489<143>
prime factors 素因数
2192304707199435772079086280879689697<37>
11764808932061457297231625688715579816249717094720014558517113188917412582106283237545709226419556133035137<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1139364994
Step 1 took 21943ms
Step 2 took 8745ms
********** Factor found in step 2: 2192304707199435772079086280879689697
Found probable prime factor of 37 digits: 2192304707199435772079086280879689697

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:35:55 UTC 2011 年 5 月 6 日 (金) 15 時 35 分 55 秒 (日本時間)

8×10190-113

c142

name 名前Dmitry Domanov
date 日付April 24, 2013 05:21:38 UTC 2013 年 4 月 24 日 (水) 14 時 21 分 38 秒 (日本時間)
composite number 合成数
5099048773562617651075104150137922232658358375545782188543590083920421746616455747317514555758962036945767522233681574956581024612113745857349<142>
prime factors 素因数
763833428958301614483077536083553318403<39>
6675603057222282845273462247574054719791822382746263297621168283577488247156485745298969609765569903383<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2925887509
Step 1 took 21468ms
Step 2 took 8752ms
********** Factor found in step 2: 763833428958301614483077536083553318403
Found probable prime factor of 39 digits: 763833428958301614483077536083553318403

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovMay 6, 2011 06:36:03 UTC 2011 年 5 月 6 日 (金) 15 時 36 分 3 秒 (日本時間)

8×10191-113

c169

name 名前Dmitry Domanov
date 日付May 5, 2011 08:21:10 UTC 2011 年 5 月 5 日 (木) 17 時 21 分 10 秒 (日本時間)
composite number 合成数
8562596272506419426896832732168329448294271014834449237546951603271309488208814862955230817652823644123591435393532414443925288928858399039342389196514057372216014683789<169>
prime factors 素因数
76617536041266393973977892661446823<35>
111757656470374927554207190591096632379065941370906924687870380014787121194733579645021562206670227880788159907006851269479172307644843<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=758429682
Step 1 took 59990ms
Step 2 took 23763ms
********** Factor found in step 2: 76617536041266393973977892661446823
Found probable prime factor of 35 digits: 76617536041266393973977892661446823
Probable prime cofactor 111757656470374927554207190591096632379065941370906924687870380014787121194733579645021562206670227880788159907006851269479172307644843 has 135 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10193-113

c174

composite cofactor 合成数の残り
114651850056017947156736805326386283650303197616576369677463678839576123419086238148045837279121534304597933477457992972167838788174769595869651635729114340825934714056625433<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:36:12 UTC 2011 年 5 月 6 日 (金) 15 時 36 分 12 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 13:59:30 UTC 2013 年 6 月 14 日 (金) 22 時 59 分 30 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovJune 14, 2013 13:59:30 UTC 2013 年 6 月 14 日 (金) 22 時 59 分 30 秒 (日本時間)

8×10194-113

c190

name 名前Serge Batalov
date 日付August 25, 2008 23:58:24 UTC 2008 年 8 月 26 日 (火) 8 時 58 分 24 秒 (日本時間)
composite number 合成数
1035208743373046528750981830792542873817112259330142302381885917408458431839915319924792084793948169686241169992921760217186794359665161731955988100275494926830152007463855039719665472294579<190>
prime factors 素因数
13268292354555506055377112473833<32>
composite cofactor 合成数の残り
78021249133662649201010056260756443212459081834801215517983657063217652246078341944261089148602713232013125543543274882835988069853193682190413043480015720763<158>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2757967481
Step 1 took 9391ms
Step 2 took 7236ms
********** Factor found in step 2: 13268292354555506055377112473833
Found probable prime factor of 32 digits: 13268292354555506055377112473833
Composite cofactor 78021249133662649201010056260756443212459081834801215517983657063217652246078341944261089148602713232013125543543274882835988069853193682190413043480015720763 has 158 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:36:19 UTC 2011 年 5 月 6 日 (金) 15 時 36 分 19 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 13:59:41 UTC 2013 年 6 月 14 日 (金) 22 時 59 分 41 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovJune 14, 2013 13:59:41 UTC 2013 年 6 月 14 日 (金) 22 時 59 分 41 秒 (日本時間)

8×10195-113

c181

name 名前matsui
date 日付April 26, 2011 05:20:15 UTC 2011 年 4 月 26 日 (火) 14 時 20 分 15 秒 (日本時間)
composite number 合成数
8290861409515386106935702169872878120572848879926959215061862970716857417598599760158189486142746736239513138911770703308458231392341100234492215418941517847985679057747823669376911<181>
prime factors 素因数
1330253104229188220920595018085380825363021507723198431830109088419897239919939<79>
6232544305408334056231136955726706102360011189005020681152664291385349152567195174414095209280471454149<103>
factorization results 素因数分解の結果
N=8290861409515386106935702169872878120572848879926959215061862970716857417598599760158189486142746736239513138911770703308458231392341100234492215418941517847985679057747823669376911
  ( 181 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=1330253104229188220920595018085380825363021507723198431830109088419897239919939 (pp79)
 r2=6232544305408334056231136955726706102360011189005020681152664291385349152567195174414095209280471454149 (pp103)
Version: Msieve v. 1.49
Total time:
Scaled time: 42.25 units (timescale=0.451).
Factorization parameters were as follows:
n: 8290861409515386106935702169872878120572848879926959215061862970716857417598599760158189486142746736239513138911770703308458231392341100234492215418941517847985679057747823669376911
m: 1000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -11
skew: 1.07
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 11890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2089727 x 2089961
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10197-113

c137

name 名前Serge Batalov
date 日付August 25, 2008 20:57:43 UTC 2008 年 8 月 26 日 (火) 5 時 57 分 43 秒 (日本時間)
composite number 合成数
49956082738077752061311507338610423235165097514678374971719168895982409430928549332726319527554947069731007461360795351857249251476802963<137>
prime factors 素因数
584631897521184211264327771703<30>
85448780591496185069139272511079480379794034535247604377701836586510272565252157696362447303206979984172421<107>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4075465090
Step 1 took 7029ms
Step 2 took 5423ms
********** Factor found in step 2: 584631897521184211264327771703
Found probable prime factor of 30 digits: 584631897521184211264327771703
Probable prime cofactor 85448780591496185069139272511079480379794034535247604377701836586510272565252157696362447303206979984172421 has 107 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)

8×10198-113

c182

composite cofactor 合成数の残り
71120169284381063100842214722237239381427123973034814373333808094436114923392311031608601886144547227019667046167977737977897945791017505538922858720246244384939484862212884008925659<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:36:29 UTC 2011 年 5 月 6 日 (金) 15 時 36 分 29 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 13:59:54 UTC 2013 年 6 月 14 日 (金) 22 時 59 分 54 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovJune 14, 2013 13:59:54 UTC 2013 年 6 月 14 日 (金) 22 時 59 分 54 秒 (日本時間)

8×10199-113

c191

name 名前Robert Backstrom
date 日付November 24, 2010 14:34:08 UTC 2010 年 11 月 24 日 (水) 23 時 34 分 8 秒 (日本時間)
composite number 合成数
62811531801211994515551429821963547479837131236921986427915040773481679159491695574712376593781083783192860956240577440921312387945552197386733599765561610589838339550210687818205035750781093<191>
prime factors 素因数
313717114878054377798755980202587086975826619841965067<54>
200217102677447463065198469177469302460624303987216527711591102474582660420835702325188443030967339649364297958790018429743034621230142479<138>
factorization results 素因数分解の結果
Number: n
N=62811531801211994515551429821963547479837131236921986427915040773481679159491695574712376593781083783192860956240577440921312387945552197386733599765561610589838339550210687818205035750781093
  ( 191 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Nov 25 01:00:54 2010  prp54 factor: 313717114878054377798755980202587086975826619841965067
Thu Nov 25 01:00:54 2010  prp138 factor: 200217102677447463065198469177469302460624303987216527711591102474582660420835702325188443030967339649364297958790018429743034621230142479
Thu Nov 25 01:00:54 2010  elapsed time 05:17:20 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_2_6_198_3
n: 62811531801211994515551429821963547479837131236921986427915040773481679159491695574712376593781083783192860956240577440921312387945552197386733599765561610589838339550210687818205035750781093
m: 2000000000000000000000000000000000000000
deg: 5
c5: 2500
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 32400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4329962 hash collisions in 32962429 relations
Msieve: matrix is 1818480 x 1818705 (515.0 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,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.48 BogoMIPS (lpj=2830740)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.21 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 21, 2010 20:26:25 UTC 2010 年 6 月 22 日 (火) 5 時 26 分 25 秒 (日本時間)
403e62144110Ignacio SantosJune 21, 2010 20:26:25 UTC 2010 年 6 月 22 日 (火) 5 時 26 分 25 秒 (日本時間)
2034Wataru SakaiJune 26, 2010 06:59:49 UTC 2010 年 6 月 26 日 (土) 15 時 59 分 49 秒 (日本時間)
4511e632 / 3991Ignacio SantosJune 21, 2010 20:26:25 UTC 2010 年 6 月 22 日 (火) 5 時 26 分 25 秒 (日本時間)

8×10200-113

c195

name 名前Robert Backstrom
date 日付April 26, 2010 04:57:24 UTC 2010 年 4 月 26 日 (月) 13 時 57 分 24 秒 (日本時間)
composite number 合成数
112726433940125636428787118524940793963274009638391917965592228752370601678750235844836009106604965853049538899567370037342040323090868637491092850368199760259056617837802725076995677082166438607<195>
prime factors 素因数
4322686938840695483464022384761542380158663722771828405012752758025993<70>
26077862111003999691839006737445024588984377766151999649242421629081490925024087964742099626114896627114863120504355098962199<125>
factorization results 素因数分解の結果
Number: n
N=112726433940125636428787118524940793963274009638391917965592228752370601678750235844836009106604965853049538899567370037342040323090868637491092850368199760259056617837802725076995677082166438607
  ( 195 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Apr 26 14:33:42 2010  prp70 factor: 4322686938840695483464022384761542380158663722771828405012752758025993
Mon Apr 26 14:33:42 2010  prp125 factor: 26077862111003999691839006737445024588984377766151999649242421629081490925024087964742099626114896627114863120504355098962199
Mon Apr 26 14:33:42 2010  elapsed time 05:32:26 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.870).
Factorization parameters were as follows:
name: KA_2_6_199_3
n: 112726433940125636428787118524940793963274009638391917965592228752370601678750235844836009106604965853049538899567370037342040323090868637491092850368199760259056617837802725076995677082166438607
m: 10000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -11
skew: 1.07
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3864044 hash collisions in 32181430 relations
Msieve: matrix is 1819983 x 1820208 (514.0 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,200,5,0,0,0,0,0,0,0,0,15600000,15600000,28,28,56,56,2.6,2.6,100000
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: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e61200Max DettweilerAugust 15, 2009 22:23:34 UTC 2009 年 8 月 16 日 (日) 7 時 23 分 34 秒 (日本時間)
403e60--
4511e6786 / 4424Dmitry DomanovMarch 27, 2010 09:56:07 UTC 2010 年 3 月 27 日 (土) 18 時 56 分 7 秒 (日本時間)

8×10201-113

c202

name 名前Jo Yeong Uk
date 日付August 25, 2008 09:48:07 UTC 2008 年 8 月 25 日 (月) 18 時 48 分 7 秒 (日本時間)
composite number 合成数
2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<202>
prime factors 素因数
451812655504187553833642493151<30>
composite cofactor 合成数の残り
5902151332372209503609296911272406487211881024719526726349392490909514083822506333934172090530872360967046140330267742066517371414348495611729173874621014004093969936550713<172>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663 (202 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2863822186
Step 1 took 7248ms
********** Factor found in step 1: 451812655504187553833642493151
Found probable prime factor of 30 digits: 451812655504187553833642493151
Composite cofactor 5902151332372209503609296911272406487211881024719526726349392490909514083822506333934172090530872360967046140330267742066517371414348495611729173874621014004093969936550713 has 172 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e615Jo Yeong UkAugust 26, 2008 00:35:50 UTC 2008 年 8 月 26 日 (火) 9 時 35 分 50 秒 (日本時間)
403e61300300Dmitry DomanovMay 6, 2011 06:36:36 UTC 2011 年 5 月 6 日 (金) 15 時 36 分 36 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:00:05 UTC 2013 年 6 月 14 日 (金) 23 時 0 分 5 秒 (日本時間)
4511e61500 / 4191Dmitry DomanovJune 14, 2013 14:00:05 UTC 2013 年 6 月 14 日 (金) 23 時 0 分 5 秒 (日本時間)

8×10202-113

c131

name 名前Erik Branger
date 日付October 9, 2010 09:47:17 UTC 2010 年 10 月 9 日 (土) 18 時 47 分 17 秒 (日本時間)
composite number 合成数
25195269898497057884669241840810328828377947656443954472324192184762136202097165008754142531094462289494306699076381319159405325777<131>
prime factors 素因数
201415188784571140772764158225201932793330825827981185343627951<63>
125091211097517152943022119769861785081122193644388185231671905376127<69>
factorization results 素因数分解の結果
Number: 26663_202
N = 25195269898497057884669241840810328828377947656443954472324192184762136202097165008754142531094462289494306699076381319159405325777 (131 digits)
Divisors found:
r1=201415188784571140772764158225201932793330825827981185343627951 (pp63)
r2=125091211097517152943022119769861785081122193644388185231671905376127 (pp69)
Version: Msieve v. 1.47
Total time: 141.71 hours.
Factorization parameters were as follows:
# Murphy_E = 7.422751e-11, selected by Jeff Gilchrist
n: 25195269898497057884669241840810328828377947656443954472324192184762136202097165008754142531094462289494306699076381319159405325777
Y0: -14309175331798795439280238
Y1: 225804971585873
c0: -4306025713149121581349728952179
c1: 1283264949224409119402640872
c2: 3688973505535382470173
c3: -14374270857619002
c4: -20230935560
c5: 42000
skew: 397297.14
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5000000, 10500000)
Relations: 19382516
Relations in full relation-set: 2678748 relations
Pruned matrix : 1555505 x 1555730
Polynomial selection time: 0.00 hours.
Total sieving time: 138.94 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.30 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10000000,10000000,28,28,54,54,2.6,2.6,100000
total time: 141.71 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6825Andreas TeteApril 12, 2009 18:01:23 UTC 2009 年 4 月 13 日 (月) 3 時 1 分 23 秒 (日本時間)
403e62111Wataru SakaiAugust 27, 2009 13:25:48 UTC 2009 年 8 月 27 日 (木) 22 時 25 分 48 秒 (日本時間)
4511e63974shyguy7129May 13, 2010 08:49:51 UTC 2010 年 5 月 13 日 (木) 17 時 49 分 51 秒 (日本時間)

8×10204-113

c160

composite cofactor 合成数の残り
8996850008037468135257376171528157083077479324728576173500204223859155854709598444752532398099679138964810826670413605434354622435950909659097704161865876643503<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:36:43 UTC 2011 年 5 月 6 日 (金) 15 時 36 分 43 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:00:17 UTC 2013 年 6 月 14 日 (金) 23 時 0 分 17 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovJune 14, 2013 14:00:17 UTC 2013 年 6 月 14 日 (金) 23 時 0 分 17 秒 (日本時間)

8×10205-113

c184

composite cofactor 合成数の残り
1222803706580959729837085873353148692277788637852716313294164765791122996082255353485926159214829374868423813612710623428195409104075875759310779785101714090935036308102655544924880329<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaAugust 25, 2008 09:00:00 UTC 2008 年 8 月 25 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61300300Dmitry DomanovMay 6, 2011 06:36:52 UTC 2011 年 5 月 6 日 (金) 15 時 36 分 52 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:00:29 UTC 2013 年 6 月 14 日 (金) 23 時 0 分 29 秒 (日本時間)
4511e61500 / 4192Dmitry DomanovJune 14, 2013 14:00:29 UTC 2013 年 6 月 14 日 (金) 23 時 0 分 29 秒 (日本時間)

8×10206-113

c196

composite cofactor 合成数の残り
1029582635447360393842490032057713664795132096396274477718174110632060910748217728196318683137682367952416968629023202632719773525474478060371858053840571727873848946196714194148844737212933553063<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:00:41 UTC 2013 年 6 月 14 日 (金) 23 時 0 分 41 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:00:41 UTC 2013 年 6 月 14 日 (金) 23 時 0 分 41 秒 (日本時間)

8×10207-113

c149

name 名前Dmitry Domanov
date 日付June 10, 2013 07:02:58 UTC 2013 年 6 月 10 日 (月) 16 時 2 分 58 秒 (日本時間)
composite number 合成数
14779330593917225257510224045941730511958190210596857322164952334830624835905081848615118541260460005681484480213987891896104812788514084436818151757<149>
prime factors 素因数
205629533691795060051312511051194605910602841737<48>
71873579288804970234059805519406575367786707831053997886087700836300645583917736311836150636391703461<101>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3802915688
Step 1 took 61360ms
********** Factor found in step 1: 205629533691795060051312511051194605910602841737
Found probable prime factor of 48 digits: 205629533691795060051312511051194605910602841737

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10209-113

c177

name 名前Dmitry Domanov
date 日付June 10, 2013 06:59:39 UTC 2013 年 6 月 10 日 (月) 15 時 59 分 39 秒 (日本時間)
composite number 合成数
758437398807856447510347541016778474082200163537368316419255623279156545967431146302242929697449177888581936200660428750127643073216670576644464342359682414921264122776435798911<177>
prime factors 素因数
1516274409726230556092800099348711085023<40>
composite cofactor 合成数の残り
500197981277541557064333810411398310045435645847208580389320838138426339158703350894982158688186058610648900564889628180902040841792476257<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=481223327
Step 1 took 83609ms
Step 2 took 29208ms
********** Factor found in step 2: 1516274409726230556092800099348711085023
Found probable prime factor of 40 digits: 1516274409726230556092800099348711085023

c138

name 名前Erik Branger
date 日付May 10, 2014 07:43:20 UTC 2014 年 5 月 10 日 (土) 16 時 43 分 20 秒 (日本時間)
composite number 合成数
500197981277541557064333810411398310045435645847208580389320838138426339158703350894982158688186058610648900564889628180902040841792476257<138>
prime factors 素因数
1902738395368906627854363238218944332808248319031050503040539<61>
262883212161471203058538342638410122128480337973390796276658827700842851155763<78>
factorization results 素因数分解の結果
Number: 26663_209
N = 500197981277541557064333810411398310045435645847208580389320838138426339158703350894982158688186058610648900564889628180902040841792476257 (138 digits)
Divisors found:
r1=1902738395368906627854363238218944332808248319031050503040539 (pp61)
r2=262883212161471203058538342638410122128480337973390796276658827700842851155763 (pp78)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 146.02 hours.
Factorization parameters were as follows:
# Murphy_E = 2.767e-11, selected by Erik Branger
# expecting poly E from 2.83e-011 to > 3.26e-011
n: 500197981277541557064333810411398310045435645847208580389320838138426339158703350894982158688186058610648900564889628180902040841792476257
Y0: -831294133472653395177455947
Y1: 264338428136849
c0: -14511594003854230468099317500471160
c1: 93396457856439051781189906236
c2: 192912115485748588595354
c3: 29705750779741039
c4: -19969693254
c5: 1260
skew: 2908149.62
type: gnfs
# selected mechanically
rlim: 15800000
alim: 15800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23174978
Relations: 3750668 relations
Pruned matrix : 2308178 x 2308404
Polynomial selection time: 0.00 hours.
Total sieving time: 141.58 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.00 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15800000,15800000,28,28,55,55,2.6,2.6,100000
total time: 146.02 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
351e6418118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 10, 2013 21:50:20 UTC 2013 年 6 月 11 日 (火) 6 時 50 分 20 秒 (日本時間)
403e61110110Ignacio SantosJune 10, 2013 21:50:20 UTC 2013 年 6 月 11 日 (火) 6 時 50 分 20 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 18:29:17 UTC 2013 年 6 月 16 日 (日) 3 時 29 分 17 秒 (日本時間)
4511e63632 / 421632Ignacio SantosJune 10, 2013 21:50:20 UTC 2013 年 6 月 11 日 (火) 6 時 50 分 20 秒 (日本時間)
1500Dmitry DomanovJune 15, 2013 18:29:17 UTC 2013 年 6 月 16 日 (日) 3 時 29 分 17 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:52 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 52 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:59 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 59 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:16 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 16 秒 (日本時間)

8×10210-113

c206

composite cofactor 合成数の残り
90447602573234293208515641782270008705581747673800721319630521543488337912243213603319427014437698560752524053409309319494850139628486472430440140646022001379325939241822971429863537179617632760121652025461<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 20, 2013 16:45:10 UTC 2013 年 5 月 21 日 (火) 1 時 45 分 10 秒 (日本時間)
403e61110110Ignacio SantosMay 20, 2013 16:45:10 UTC 2013 年 5 月 21 日 (火) 1 時 45 分 10 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:01:06 UTC 2013 年 6 月 14 日 (金) 23 時 1 分 6 秒 (日本時間)
4511e6458232Ignacio SantosMay 20, 2013 16:45:10 UTC 2013 年 5 月 21 日 (火) 1 時 45 分 10 秒 (日本時間)
1500Dmitry DomanovJune 14, 2013 14:01:06 UTC 2013 年 6 月 14 日 (金) 23 時 1 分 6 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:01 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:22 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 22 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:03 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 3 秒 (日本時間)

8×10212-113

c178

name 名前Dmitry Domanov
date 日付April 24, 2013 05:22:52 UTC 2013 年 4 月 24 日 (水) 14 時 22 分 52 秒 (日本時間)
composite number 合成数
1809327297860077870702252681408402081475904550322744253658681850142036602085601552591032610370161587575796951904671181077712474624778561237708588902655990577597822525683380653289<178>
prime factors 素因数
27899897434616642465054868835963<32>
composite cofactor 合成数の残り
64850679186195326141154685086677979535745142057254953461094143512320324662508743760949033206755497974435445187779893323458008240605605948670125803<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=705294352
Step 1 took 31104ms
Step 2 took 11263ms
********** Factor found in step 2: 27899897434616642465054868835963
Found probable prime factor of 32 digits: 27899897434616642465054868835963

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 10:50:36 UTC 2013 年 5 月 19 日 (日) 19 時 50 分 36 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 10:50:36 UTC 2013 年 5 月 19 日 (日) 19 時 50 分 36 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 20:29:02 UTC 2013 年 6 月 16 日 (日) 5 時 29 分 2 秒 (日本時間)
4511e6458232Ignacio SantosMay 19, 2013 10:50:36 UTC 2013 年 5 月 19 日 (日) 19 時 50 分 36 秒 (日本時間)
1500Dmitry DomanovJune 15, 2013 20:29:02 UTC 2013 年 6 月 16 日 (日) 5 時 29 分 2 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:20 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 20 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:28 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 28 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:07 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 7 秒 (日本時間)

8×10213-113

c164

name 名前Dmitry Domanov
date 日付June 14, 2013 04:49:59 UTC 2013 年 6 月 14 日 (金) 13 時 49 分 59 秒 (日本時間)
composite number 合成数
22318676564828902209704917432364986433485885532003083827102508829384873110287934702489026808436090938811975313468314805454879338086539797382832702491528605157458907<164>
prime factors 素因数
952685695077613576166264670088173424746543331<45>
composite cofactor 合成数の残り
23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897<119>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1287521113
Step 1 took 71271ms
Step 2 took 26083ms
********** Factor found in step 2: 952685695077613576166264670088173424746543331
Found probable prime factor of 45 digits: 952685695077613576166264670088173424746543331
Composite cofactor 23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897 has 119 digits

c119

name 名前Dmitry Domanov
date 日付June 17, 2013 05:25:19 UTC 2013 年 6 月 17 日 (月) 14 時 25 分 19 秒 (日本時間)
composite number 合成数
23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897<119>
prime factors 素因数
1398818899371312520183274074414408701082278841538607511<55>
16747782146458608088282553553842303748391156335503556292899528127<65>
factorization results 素因数分解の結果
N=23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897
  ( 119 digits)
Divisors found:
 r1=1398818899371312520183274074414408701082278841538607511 (pp55)
 r2=16747782146458608088282553553842303748391156335503556292899528127 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 51.77 hours.
Scaled time: 44.83 units (timescale=0.866).
Factorization parameters were as follows:
n: 23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897
skew: 457455.58
c0: 1498568388715431670177614892000
c1: -934679715296569862365532
c2: -32461536598641922815
c3: -22774633898677
c4: 63774317
c5: 156
Y0: -171916904882619729615561
Y1: 1237042925653
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 4050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 522055 x 522289
Total sieving time: 50.29 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.60 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 51.77 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 KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10214-113

c183

composite cofactor 合成数の残り
206211319876065639123034558469906037656016262110522491899603712511470271271748927977339768810447684191717379257546221188127200120092714702873611705522226932860983248028414561417745511<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:01:29 UTC 2013 年 6 月 14 日 (金) 23 時 1 分 29 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:01:29 UTC 2013 年 6 月 14 日 (金) 23 時 1 分 29 秒 (日本時間)

8×10215-113

c157

composite cofactor 合成数の残り
3363257262388492367838499760546124036255627894807387036020184577402134097173506184885503699124554875501887889565024552686881543336683044648431294155985472081<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:01:41 UTC 2013 年 6 月 14 日 (金) 23 時 1 分 41 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:01:41 UTC 2013 年 6 月 14 日 (金) 23 時 1 分 41 秒 (日本時間)

8×10216-113

c179

composite cofactor 合成数の残り
77458146368518994243648468357802080051533476793990371618619136757359150036572763533751413722061511726877011318846982588522034284609191987609161973977698151448200823216370758533597<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:01:51 UTC 2013 年 6 月 14 日 (金) 23 時 1 分 51 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:01:51 UTC 2013 年 6 月 14 日 (金) 23 時 1 分 51 秒 (日本時間)

8×10217-113

c201

name 名前Dmitry Domanov
date 日付April 24, 2013 04:58:54 UTC 2013 年 4 月 24 日 (水) 13 時 58 分 54 秒 (日本時間)
composite number 合成数
349635982934175034588128055748259569052162691109134841020195489265029342933961035073704799191862976660355945443524429322582985669152401047000978374430738084253867635081240068003497901834528575346347753<201>
prime factors 素因数
35978563857139329991165008517561369<35>
9717897143490227447212335261611727443567486523131918308750516835044188679567974091561837834397298963275916929712609991915159123475795123138352325697468868881100505937<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1082215989
Step 1 took 26505ms
Step 2 took 8593ms
********** Factor found in step 2: 35978563857139329991165008517561369
Found probable prime factor of 35 digits: 35978563857139329991165008517561369

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10218-113

c181

name 名前Dmitry Domanov
date 日付June 13, 2013 13:23:04 UTC 2013 年 6 月 13 日 (木) 22 時 23 分 4 秒 (日本時間)
composite number 合成数
2888877710451706172940747450769284842690893935659011123277303602245368489480465162418849827282258069173110209496667748134751970691229037339559443030196695999299805897244893941377231<181>
prime factors 素因数
40238566616984036495450131084901227998359<41>
71793752942291896968902755194207538870943068788176922499681331485853618265700241184559571941307138896016982148511736207293337157207118288009<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1527842748
Step 1 took 83979ms
Step 2 took 29238ms
********** Factor found in step 2: 40238566616984036495450131084901227998359
Found probable prime factor of 41 digits: 40238566616984036495450131084901227998359

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10220-113

c163

composite cofactor 合成数の残り
6078158454442578750233570551625256091736066905262063250044362860655008657720705203439408742388837552648925382653047020146949404081851593561362740982742965619952911<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:02:02 UTC 2013 年 6 月 14 日 (金) 23 時 2 分 2 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:02:02 UTC 2013 年 6 月 14 日 (金) 23 時 2 分 2 秒 (日本時間)

8×10221-113

c206

composite cofactor 合成数の残り
57556832929840194885714463095678069990706307319504557331460385645032936156790517181591263452934470899077929805431034617329836304829651328877558727373629418473023762194890655055180702973806257507282585411523<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:02:13 UTC 2013 年 6 月 14 日 (金) 23 時 2 分 13 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:02:13 UTC 2013 年 6 月 14 日 (金) 23 時 2 分 13 秒 (日本時間)

8×10223-113

c201

name 名前Dmitry Domanov
date 日付June 13, 2013 13:21:02 UTC 2013 年 6 月 13 日 (木) 22 時 21 分 2 秒 (日本時間)
composite number 合成数
315018572079250262279078485650142349696468819702237951290540983617158376502616931776625704883951966858932654418568754503219060481760662522434938330252645489349235252122863514510334162623728064616921531<201>
prime factors 素因数
5274985497722215823983169250148760165997101759729<49>
composite cofactor 合成数の残り
59719324766916988726428160208820998173996890440316926336426845108534162086574228697811654368050943649908689184052477351626601394415997936920355253784939<152>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4055856312
Step 1 took 114372ms
Step 2 took 32690ms
********** Factor found in step 2: 5274985497722215823983169250148760165997101759729
Found probable prime factor of 49 digits: 5274985497722215823983169250148760165997101759729

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 15, 2013 20:29:35 UTC 2013 年 6 月 16 日 (日) 5 時 29 分 35 秒 (日本時間)
4511e643141500Dmitry DomanovJune 15, 2013 20:29:35 UTC 2013 年 6 月 16 日 (日) 5 時 29 分 35 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:26 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 26 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:24 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 24 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:25 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 25 秒 (日本時間)
664Ignacio SantosDecember 25, 2015 00:32:15 UTC 2015 年 12 月 25 日 (金) 9 時 32 分 15 秒 (日本時間)

8×10224-113

c180

name 名前Dmitry Domanov
date 日付June 10, 2013 07:00:14 UTC 2013 年 6 月 10 日 (月) 16 時 0 分 14 秒 (日本時間)
composite number 合成数
731582137222351144586243839520967432918184463738568973001293664908709799648515202740344546075748597744715900012808847343943883634496758125629810568314750931297765737132023735285353<180>
prime factors 素因数
18413148557780431205410216389534008737<38>
composite cofactor 合成数の残り
39731506804859991704337974242664737478511019173109526947141656618478835815601891824814667046869858496335241423748987465553061432346051783322569<143>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=442172310
Step 1 took 83654ms
Step 2 took 29188ms
********** Factor found in step 2: 18413148557780431205410216389534008737
Found probable prime factor of 38 digits: 18413148557780431205410216389534008737

c143

name 名前Dmitry Domanov
date 日付June 14, 2013 04:48:53 UTC 2013 年 6 月 14 日 (金) 13 時 48 分 53 秒 (日本時間)
composite number 合成数
39731506804859991704337974242664737478511019173109526947141656618478835815601891824814667046869858496335241423748987465553061432346051783322569<143>
prime factors 素因数
2935675258835606493973656528201119447442737<43>
13534026519206666030796108451984755460878604063859241135296174467755204375483154560745657653710694937<101>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2168140997
Step 1 took 60250ms
Step 2 took 23044ms
********** Factor found in step 2: 2935675258835606493973656528201119447442737
Found probable prime factor of 43 digits: 2935675258835606493973656528201119447442737

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 343Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e6200 / 2318Rich DickersonJune 13, 2013 00:39:25 UTC 2013 年 6 月 13 日 (木) 9 時 39 分 25 秒 (日本時間)

8×10227-113

c171

name 名前Dmitry Domanov
date 日付April 24, 2013 05:22:19 UTC 2013 年 4 月 24 日 (水) 14 時 22 分 19 秒 (日本時間)
composite number 合成数
208519182949019232679615337344309802587291275072406194532210449098144224051704068405816403329467088197184858970848450093898227050760182958301425135765357136154032780389467<171>
prime factors 素因数
106906623548625603501543669743057<33>
1950479549605979160520447240487409898343387856258198866994102580982877709312759482808525552764309108331071352832862856467460001007131457131<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=697978204
Step 1 took 26778ms
Step 2 took 10310ms
********** Factor found in step 2: 106906623548625603501543669743057
Found probable prime factor of 33 digits: 106906623548625603501543669743057

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10229-113

c221

name 名前Dmitry Domanov
date 日付April 24, 2013 05:03:17 UTC 2013 年 4 月 24 日 (水) 14 時 3 分 17 秒 (日本時間)
composite number 合成数
60888283195588167736105047748047492949180569404437005154595796279169225620447286500454242195261656600779326033118919734570955275278009945435855505415398960242601996910554388176214494041317721909363127943081310160863244183<221>
prime factors 素因数
6250867509773770193549384778248568803<37>
9740773276730643902126018080073647119974913859445898805473457404982759966779903680185601851398690002473135774119960286424088692260864976176966210530825204495565369824229565200901142461<184>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2963007470
Step 1 took 37253ms
Step 2 took 10981ms
********** Factor found in step 2: 6250867509773770193549384778248568803
Found probable prime factor of 37 digits: 6250867509773770193549384778248568803

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10230-113

c231

name 名前Dmitry Domanov
date 日付April 24, 2013 05:04:21 UTC 2013 年 4 月 24 日 (水) 14 時 4 分 21 秒 (日本時間)
composite number 合成数
266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<231>
prime factors 素因数
30995593043732406726062633244470218103<38>
composite cofactor 合成数の残り
8603373592188426061628048365078943888636746247072096267195039613168544901412688859536202509185459717599801431676157259399109772827153050115169084513080138728070984326409853127844448247062845521<193>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2745019837
Step 1 took 32131ms
Step 2 took 10847ms
********** Factor found in step 2: 30995593043732406726062633244470218103
Found probable prime factor of 38 digits: 30995593043732406726062633244470218103

c193

name 名前Dmitry Domanov
date 日付June 10, 2013 07:03:48 UTC 2013 年 6 月 10 日 (月) 16 時 3 分 48 秒 (日本時間)
composite number 合成数
8603373592188426061628048365078943888636746247072096267195039613168544901412688859536202509185459717599801431676157259399109772827153050115169084513080138728070984326409853127844448247062845521<193>
prime factors 素因数
1665208025213100598951469827708961823347<40>
composite cofactor 合成数の残り
5166545838071752055737741449266026780530247875128085068502617144950206919194134462296412861709862043393541476130395162887276190043789256871139338904812843<154>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3844262256
Step 1 took 102783ms
Step 2 took 33279ms
********** Factor found in step 2: 1665208025213100598951469827708961823347
Found probable prime factor of 40 digits: 1665208025213100598951469827708961823347

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 10, 2013 21:55:57 UTC 2013 年 6 月 11 日 (火) 6 時 55 分 57 秒 (日本時間)
403e61110110Ignacio SantosJune 10, 2013 21:55:57 UTC 2013 年 6 月 11 日 (火) 6 時 55 分 57 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 20:29:53 UTC 2013 年 6 月 16 日 (日) 5 時 29 分 53 秒 (日本時間)
4511e6426632Ignacio SantosJune 10, 2013 21:55:57 UTC 2013 年 6 月 11 日 (火) 6 時 55 分 57 秒 (日本時間)
1500Dmitry DomanovJune 15, 2013 20:29:53 UTC 2013 年 6 月 16 日 (日) 5 時 29 分 53 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:48 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 48 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:44 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 44 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:41 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 41 秒 (日本時間)
400Serge BatalovJune 23, 2015 21:29:41 UTC 2015 年 6 月 24 日 (水) 6 時 29 分 41 秒 (日本時間)
184Ignacio SantosDecember 22, 2015 21:47:20 UTC 2015 年 12 月 23 日 (水) 6 時 47 分 20 秒 (日本時間)

8×10231-113

c200

composite cofactor 合成数の残り
33308908804756267284402114709840132985212282021836754557315824459073677015491047466286723281303017443989486237197716114038666310478941353313096258169712657669563562516804483462100269344420837426385127<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:02:50 UTC 2013 年 6 月 14 日 (金) 23 時 2 分 50 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:02:50 UTC 2013 年 6 月 14 日 (金) 23 時 2 分 50 秒 (日本時間)

8×10232-113

c208

name 名前Dmitry Domanov
date 日付June 10, 2013 07:04:45 UTC 2013 年 6 月 10 日 (月) 16 時 4 分 45 秒 (日本時間)
composite number 合成数
1544772538835769552724967887180305182268990784835105851581055129846975437964096786605748237056168647923790376776085853024198094197987225990309355690593829480797358280226895574091819106880362156603592628610011<208>
prime factors 素因数
1857576679984173974463433615464023692811053187<46>
composite cofactor 合成数の残り
831606337160159964892127636677652667022072478619001413899730008117650512949054694709425346110962732901459886071927737108622741624086368490301385717688473090705353<162>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=497786987
Step 1 took 110724ms
Step 2 took 38528ms
********** Factor found in step 2: 1857576679984173974463433615464023692811053187
Found probable prime factor of 46 digits: 1857576679984173974463433615464023692811053187

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:03:02 UTC 2013 年 6 月 14 日 (金) 23 時 3 分 2 秒 (日本時間)
4511e627501500Dmitry DomanovJune 14, 2013 14:03:02 UTC 2013 年 6 月 14 日 (金) 23 時 3 分 2 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:03 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 3 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:43 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 43 秒 (日本時間)
5043e6600 / 6898Erik BrangerMarch 19, 2014 13:33:23 UTC 2014 年 3 月 19 日 (水) 22 時 33 分 23 秒 (日本時間)

8×10233-113

c216

composite cofactor 合成数の残り
350198023417763300764439169460191210619820351198775439822151934009788568421344297442563721684644418903501858170659006594841422950422672650027930931822938747066929441374119525543610502750713078231457904245616431491431<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:03:13 UTC 2013 年 6 月 14 日 (金) 23 時 3 分 13 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:03:13 UTC 2013 年 6 月 14 日 (金) 23 時 3 分 13 秒 (日本時間)

8×10234-113

c232

composite cofactor 合成数の残り
6650041562759767248545303408146300914380714879467996674979218620116375727348295926849542809642560266001662510390689941812136325852036575228595178719866999168744804655029093931837073981712385702410640066500415627597672485453034081463<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 31, 2013 13:57:42 UTC 2013 年 5 月 31 日 (金) 22 時 57 分 42 秒 (日本時間)
403e61110110Ignacio SantosMay 31, 2013 13:57:42 UTC 2013 年 5 月 31 日 (金) 22 時 57 分 42 秒 (日本時間)
1000Dmitry DomanovJune 15, 2013 20:30:15 UTC 2013 年 6 月 16 日 (日) 5 時 30 分 15 秒 (日本時間)
4511e6448232Ignacio SantosMay 31, 2013 13:57:42 UTC 2013 年 5 月 31 日 (金) 22 時 57 分 42 秒 (日本時間)
1500Dmitry DomanovJune 15, 2013 20:30:15 UTC 2013 年 6 月 16 日 (日) 5 時 30 分 15 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:21 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 21 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:08 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 8 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:33 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 33 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:04 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 4 秒 (日本時間)

8×10235-113

c170

composite cofactor 合成数の残り
40475137015729831359416103321337968168131368740094019721490027190396352319395022012024742861138074434762552638014788191563376698501145474345475609984940777421474605850123<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:03:37 UTC 2013 年 6 月 14 日 (金) 23 時 3 分 37 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:03:37 UTC 2013 年 6 月 14 日 (金) 23 時 3 分 37 秒 (日本時間)

8×10236-113

c188

name 名前Dmitry Domanov
date 日付June 10, 2013 11:13:59 UTC 2013 年 6 月 10 日 (月) 20 時 13 分 59 秒 (日本時間)
composite number 合成数
52677361157469326179438750888556483058106023974409738268881510452671356233855096304996703051073370946914902399177377865432033190960797735864254864597968968720000168830342845643549699324357<188>
prime factors 素因数
71716454192892825485403532781696848688701811<44>
734522666385390076275779379402331432373228034218734698956156948668763500016255512230760825502778709562313604493870333762873003687339652232038887<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1651058435
Step 1 took 83784ms
Step 2 took 30165ms
********** Factor found in step 2: 71716454192892825485403532781696848688701811
Found probable prime factor of 44 digits: 71716454192892825485403532781696848688701811

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10237-113

c231

composite cofactor 合成数の残り
275613892910842040751374460645143908865785783993881647191272217537360238348138450367088421381119821314000948042888140068909674540301004133760521086650492954395926178610274134879858009234650192397445706905364834761030524479802032053<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:03:49 UTC 2013 年 6 月 14 日 (金) 23 時 3 分 49 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:03:49 UTC 2013 年 6 月 14 日 (金) 23 時 3 分 49 秒 (日本時間)

8×10238-113

c119

name 名前Dmitry Domanov
date 日付April 24, 2013 21:53:06 UTC 2013 年 4 月 25 日 (木) 6 時 53 分 6 秒 (日本時間)
composite number 合成数
38882189252695388293231626376994588177977384949471892767793638952576221241131973609741736844433731591455284733500352937<119>
prime factors 素因数
462543392214290597700574168116914079861535472297<48>
84061711630033953364311263762668153338760573465221253534768924833765121<71>
factorization results 素因数分解の結果
N=38882189252695388293231626376994588177977384949471892767793638952576221241131973609741736844433731591455284733500352937
  ( 119 digits)
Divisors found:
 r1=462543392214290597700574168116914079861535472297 (pp48)
 r2=84061711630033953364311263762668153338760573465221253534768924833765121 (pp71)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 61.91 hours.
Scaled time: 23.77 units (timescale=0.384).
Factorization parameters were as follows:
name: cc119
n: 38882189252695388293231626376994588177977384949471892767793638952576221241131973609741736844433731591455284733500352937
skew: 82900.56
# norm 5.66e+16
c5: 24960
c4: 4286660564
c3: 1450246617157088
c2: -40949428674509168761
c1: -4303173135097713236388588
c0: 46138634206819555994291770497
# alpha -6.64
Y1: 7884619458661
Y0: -68944483075934163625970
# Murphy_E 3.08e-10
# M 32428193967236979224306213065220152205600791387365980647722335405365648611208580059303802361193472901475846696646341137
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2000000, 3900001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 653624 x 653851
Polynomial selection time: 4.65 hours.
Total sieving time: 55.68 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 61.91 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 KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10239-113

c175

name 名前Dmitry Domanov
date 日付June 10, 2013 07:02:30 UTC 2013 年 6 月 10 日 (月) 16 時 2 分 30 秒 (日本時間)
composite number 合成数
5870962731782314931993848059460467852457565284833185142281490343214797348704122607068521674197542876922844121186328762657370536155545529548271055155263546758284708844182651021<175>
prime factors 素因数
3447107951530734711892070734528751607793<40>
composite cofactor 合成数の残り
1703156041044561676752322520831882640414494172881187884809892479870997729717658407463265262495688942695825847027024755266378174764680797<136>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3569443476
Step 1 took 86138ms
Step 2 took 29411ms
********** Factor found in step 2: 3447107951530734711892070734528751607793
Found probable prime factor of 40 digits: 3447107951530734711892070734528751607793

c136

name 名前Erik Branger
date 日付November 16, 2014 10:07:14 UTC 2014 年 11 月 16 日 (日) 19 時 7 分 14 秒 (日本時間)
composite number 合成数
1703156041044561676752322520831882640414494172881187884809892479870997729717658407463265262495688942695825847027024755266378174764680797<136>
prime factors 素因数
5741624409887539777248874360307693244789462393593<49>
296633133667118623846015575172320973481437936644415955148757730873316511871331390436229<87>
factorization results 素因数分解の結果
Number: 26663_239
N = 1703156041044561676752322520831882640414494172881187884809892479870997729717658407463265262495688942695825847027024755266378174764680797 (136 digits)
Divisors found:
r1=5741624409887539777248874360307693244789462393593 (pp49)
r2=296633133667118623846015575172320973481437936644415955148757730873316511871331390436229 (pp87)
Version: Msieve v. 1.51 (SVN 845)
Total time: 127.81 hours.
Factorization parameters were as follows:
# Murphy_E = 4.154e-11, selected by Dmitry Domanov
n: 1703156041044561676752322520831882640414494172881187884809892479870997729717658407463265262495688942695825847027024755266378174764680797
Y0: -239530450765026657372292273
Y1: 162936657260881
c0: -3174243948334889225020615784163540
c1: 3496254953161803700099475498
c2: 23278419427843506094218
c3: -5281521726705273
c4: -21720535018
c5: 2160
skew: 1127402.54
type: gnfs
# selected mechanically
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21659869
Relations: 3386376 relations
Pruned matrix : 2005195 x 2005419
Polynomial selection time: 0.00 hours.
Total sieving time: 124.45 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.95 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13600000,13600000,28,28,55,55,2.6,2.6,100000
total time: 127.81 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 10, 2013 19:44:27 UTC 2013 年 6 月 11 日 (火) 4 時 44 分 27 秒 (日本時間)
403e61110110Ignacio SantosJune 10, 2013 19:44:27 UTC 2013 年 6 月 11 日 (火) 4 時 44 分 27 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:04:01 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 1 秒 (日本時間)
4511e6543232Ignacio SantosJune 10, 2013 19:44:27 UTC 2013 年 6 月 11 日 (火) 4 時 44 分 27 秒 (日本時間)
1500Dmitry DomanovJune 14, 2013 14:04:01 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 1 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:29 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 29 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:37 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 37 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:22:56 UTC 2014 年 1 月 6 日 (月) 11 時 22 分 56 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:01 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 1 秒 (日本時間)

8×10240-113

c230

composite cofactor 合成数の残り
17727865557202850768751082136350253590775649076128519782065003104468482525324526691751036717073395717443551496061525579232715345208066090597826812179053608836341126875408311718771807063003047064115958764608555230843603195946206013<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:04:15 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 15 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:04:15 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 15 秒 (日本時間)

8×10241-113

c214

composite cofactor 合成数の残り
4976781884429265738451583037284193931644662619364566972468568148405192972456516859910878487699757340969183393727417934643120123248689405899748350582391730095833257797686571858708284249680548613382669586337474550763<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:04:25 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 25 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:04:25 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 25 秒 (日本時間)

8×10242-113

c232

composite cofactor 合成数の残り
1007716122287927522771005041225988446223251013511230347521699438690206035804105507421291483648911051995155311231083220726043917728893259979183853465966961329669331672397421225202670331101580033614634916832220950819461727992076592273<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:04:36 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 36 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:04:36 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 36 秒 (日本時間)

8×10244-113

c202

name 名前Dmitry Domanov
date 日付April 24, 2013 04:58:18 UTC 2013 年 4 月 24 日 (水) 13 時 58 分 18 秒 (日本時間)
composite number 合成数
1792673503404118771596047463391714529639616922089478254699650389866245597522470589073613288559056923524015796044222182608115195676109083133369584292527569818275882966551251087940273578320828176459242143<202>
prime factors 素因数
14556117544339647280799373690812511541627541<44>
123156019999386806565429480886114981447754812325304924542439053526442812805749214936042236906914711052654036389589019166374986564376020108674124503361214330723<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3575610139
Step 1 took 26602ms
Step 2 took 9261ms
********** Factor found in step 2: 14556117544339647280799373690812511541627541
Found probable prime factor of 44 digits: 14556117544339647280799373690812511541627541

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10245-113

c226

name 名前Dmitry Domanov
date 日付April 24, 2013 05:03:47 UTC 2013 年 4 月 24 日 (水) 14 時 3 分 47 秒 (日本時間)
composite number 合成数
3965400888545796752602273903102028435730216395649404557203331094319987419313813523203343715380157190241648593381131889945087365111386530453061365566267877364073965603802280632887143535438220517427498787909243565983328199040261<226>
prime factors 素因数
6783905420769899271243547126608652909<37>
composite cofactor 合成数の残り
584530685879722509976264495153946393354246698624001644997904078421440609785146865179612657943483558945272058499530622915101543058584768977979299430810168245866450981050829772773716859035129<189>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1091047899
Step 1 took 39225ms
Step 2 took 11947ms
********** Factor found in step 2: 6783905420769899271243547126608652909
Found probable prime factor of 37 digits: 6783905420769899271243547126608652909

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:04:47 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 47 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:04:47 UTC 2013 年 6 月 14 日 (金) 23 時 4 分 47 秒 (日本時間)

8×10246-113

c228

name 名前Dmitry Domanov
date 日付April 24, 2013 05:02:50 UTC 2013 年 4 月 24 日 (水) 14 時 2 分 50 秒 (日本時間)
composite number 合成数
256639521168614916534080862628804615762753549748834963283536053472269922390811179246479074644503946299607946011326128082859990908710185666602510920516769732888028750324797229366566669543363244042316422790166647812203250163939031<228>
prime factors 素因数
1406239241155447680694905633007471231<37>
6304738976207820165455633129486223822751<40>
composite cofactor 合成数の残り
28946576853626123966314085796585627133497545850953445314385209590037649154896473887301302137629266845821156041784116036583975032906876025710521359258551<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3206559699
Step 1 took 33313ms
Step 2 took 14175ms
********** Factor found in step 2: 1406239241155447680694905633007471231
Found probable prime factor of 37 digits: 1406239241155447680694905633007471231

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2410192985
Step 1 took 20767ms
Step 2 took 8446ms
********** Factor found in step 2: 6304738976207820165455633129486223822751
Found probable prime factor of 40 digits: 6304738976207820165455633129486223822751

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 15:25:48 UTC 2013 年 5 月 20 日 (月) 0 時 25 分 48 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 15:25:48 UTC 2013 年 5 月 20 日 (月) 0 時 25 分 48 秒 (日本時間)
1000Dmitry DomanovJune 14, 2013 14:05:00 UTC 2013 年 6 月 14 日 (金) 23 時 5 分 0 秒 (日本時間)
4511e6422232Ignacio SantosMay 19, 2013 15:25:48 UTC 2013 年 5 月 20 日 (月) 0 時 25 分 48 秒 (日本時間)
1500Dmitry DomanovJune 14, 2013 14:05:00 UTC 2013 年 6 月 14 日 (金) 23 時 5 分 0 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:24 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 24 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:22 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 22 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:24 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 24 秒 (日本時間)
540Ignacio SantosDecember 24, 2015 11:35:16 UTC 2015 年 12 月 24 日 (木) 20 時 35 分 16 秒 (日本時間)

8×10247-113

c186

composite cofactor 合成数の残り
874212240121303708586805617140326206413065423162456726424408416770981818699164278992784135015747137860364469654209654701232634244277800917158588676750060026363367176094308607224158812269<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:05:13 UTC 2013 年 6 月 14 日 (金) 23 時 5 分 13 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:05:13 UTC 2013 年 6 月 14 日 (金) 23 時 5 分 13 秒 (日本時間)

8×10248-113

c232

name 名前Dmitry Domanov
date 日付April 25, 2013 07:05:55 UTC 2013 年 4 月 25 日 (木) 16 時 5 分 55 秒 (日本時間)
composite number 合成数
1056493853366390514925399748769484387768437458524556742756756645422004877430662964766201005317921541975738252702797290936526911434418840928790393572159090275349646173840253999741157808417504086081139477758417771615381021343845796057<232>
prime factors 素因数
2294334524768913686271019899617<31>
112939039754082113148282789186227<33>
32847517504211476473185331652383409<35>
136377126910779890758153183046504521<36>
205454192325732570627028102816033771176488827<45>
4430033866758853755760144839216409559410161218078778241<55>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2595114375
Step 1 took 27713ms
Step 2 took 10284ms
********** Factor found in step 2: 2294334524768913686271019899617
Found probable prime factor of 31 digits: 2294334524768913686271019899617

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3110714672
Step 1 took 27830ms
Step 2 took 8670ms
********** Factor found in step 2: 136377126910779890758153183046504521
Found probable prime factor of 36 digits: 136377126910779890758153183046504521

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1567583042
Step 1 took 15614ms
Step 2 took 6374ms
********** Factor found in step 2: 112939039754082113148282789186227
Found probable prime factor of 33 digits: 112939039754082113148282789186227

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2918366064
Step 1 took 12132ms
Step 2 took 5329ms
********** Factor found in step 2: 32847517504211476473185331652383409
Found probable prime factor of 35 digits: 32847517504211476473185331652383409

GNFS:
N=910169030070582276620020638746663826120534186053319482693184632856283893731793530335591576347213307
  ( 99 digits)
Divisors found:
 r1=205454192325732570627028102816033771176488827 (pp45)
 r2=4430033866758853755760144839216409559410161218078778241 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 6.32 hours.
Scaled time: 4.89 units (timescale=0.773).
Factorization parameters were as follows:
name: cc99
n: 910169030070582276620020638746663826120534186053319482693184632856283893731793530335591576347213307
skew: 919.19
# norm 1.18e+13
c5: 1841280
c4: 461265166
c3: -1688317012351
c2: -309923240706239
c1: -808380185410655191
c0: 69772533020931437235
# alpha -4.96
Y1: 17324021803
Y0: -3457803699246239942
# Murphy_E 3.91e-09
# M 604810314983969401461497602529767951335700788273045163851763468739914223643396364535891393707704879
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189315 x 189544
Polynomial selection time: 0.33 hours.
Total sieving time: 5.21 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 6.32 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 KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)

8×10249-113

c220

composite cofactor 合成数の残り
8266608669460295835350957950807773269827500022335792847329272095805658434646306133974135928266910356188244157101985129351116419544045620651971316881727733982118770871847074355214072232319555771136472264576593455780707831<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:05:24 UTC 2013 年 6 月 14 日 (金) 23 時 5 分 24 秒 (日本時間)
4511e61500 / 4254Dmitry DomanovJune 14, 2013 14:05:24 UTC 2013 年 6 月 14 日 (金) 23 時 5 分 24 秒 (日本時間)

8×10250-113

c242

composite cofactor 合成数の残り
10830332938171442930608890844415609260614319680118654571712032920287219384393178132975504981435935471485198108634897587791636942834840250357436490144820559971450300136014455519380000760616989831014979877395056226019342275258824714653140234979<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 23, 2013 14:00:00 UTC 2013 年 4 月 23 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 14, 2013 14:05:35 UTC 2013 年 6 月 14 日 (金) 23 時 5 分 35 秒 (日本時間)
4511e61500Dmitry DomanovJune 14, 2013 14:05:35 UTC 2013 年 6 月 14 日 (金) 23 時 5 分 35 秒 (日本時間)
5043e6800 / 7178Dmitry DomanovJune 24, 2013 07:11:44 UTC 2013 年 6 月 24 日 (月) 16 時 11 分 44 秒 (日本時間)

8×10251-113

c250

composite cofactor 合成数の残り
3980099502487562189054726368159203980099502487562189054726368159203980099502487562189054726368159203980099502487562189054726368159203980099502487562189054726368159203980099502487562189054726368159203980099502487562189054726368159203980099502487562189<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10252-113

c179

composite cofactor 合成数の残り
64042806234932837155104818512063420680087945908428704880346047733313820972095877411086946647770731932284241389518980571592377935453090191310577610879150441884654998133257569399633<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 06:47:34 UTC 2017 年 2 月 8 日 (水) 15 時 47 分 34 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 06:47:34 UTC 2017 年 2 月 8 日 (水) 15 時 47 分 34 秒 (日本時間)

8×10253-113

c222

composite cofactor 合成数の残り
258576935408233932135864758020157156648548396776155579828033958166798764855977176367730533552042382773924667750522426425530083886420945842297331594366968858925199350373388798776503316296446207493907092146019633114718502437<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10254-113

c176

name 名前Dmitry Domanov
date 日付May 8, 2016 23:16:22 UTC 2016 年 5 月 9 日 (月) 8 時 16 分 22 秒 (日本時間)
composite number 合成数
98971032148694692960101391785011069696117963795388112862943185820091587054174367697487801040847881194459307575245032995521023114509563995611735706701047132280593089460719472119<176>
prime factors 素因数
25354387450515309295013175348323439051317<41>
composite cofactor 合成数の残り
3903507128376046783717467666761052916698375089739581452127773168349911744012775770922812343853530850894952365546718081128545710824723707<136>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2627511739
Step 1 took 313187ms
********** Factor found in step 1: 25354387450515309295013175348323439051317
Found probable prime factor of 41 digits: 25354387450515309295013175348323439051317
Composite cofactor 3903507128376046783717467666761052916698375089739581452127773168349911744012775770922812343853530850894952365546718081128545710824723707 has 136 digits

c136

name 名前Erik Branger
date 日付June 10, 2016 19:39:15 UTC 2016 年 6 月 11 日 (土) 4 時 39 分 15 秒 (日本時間)
composite number 合成数
3903507128376046783717467666761052916698375089739581452127773168349911744012775770922812343853530850894952365546718081128545710824723707<136>
prime factors 素因数
680246019103193126359485285771605962488197278230089767397110573<63>
5738375556423338465469641233413165151474974830473906873591688849251836359<73>
factorization results 素因数分解の結果
Number: 26663_254
N = 3903507128376046783717467666761052916698375089739581452127773168349911744012775770922812343853530850894952365546718081128545710824723707 (136 digits)
Divisors found:
r1=680246019103193126359485285771605962488197278230089767397110573 (pp63)
r2=5738375556423338465469641233413165151474974830473906873591688849251836359 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 202.01 hours.
Factorization parameters were as follows:
# Murphy_E = 3.81e-11, selected by Erik Branger
# expecting poly E from 3.80e-011 to > 4.38e-011
n: 3903507128376046783717467666761052916698375089739581452127773168349911744012775770922812343853530850894952365546718081128545710824723707
Y0: -244801597684170714012935554
Y1: 69056962480987
c0: -333676348649635218967733764721240745
c1: 1164411586013848918976554709961
c2: -544259357172461909728873
c3: -151507179408910553
c4: 27806782490
c5: 4440
skew: 3752333.6
type: gnfs
# selected mechanically
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23005013
Relations: 3022858 relations
Pruned matrix : 1866467 x 1866699
Polynomial selection time: 0.00 hours.
Total sieving time: 198.15 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.40 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13900000,13900000,28,28,55,55,2.6,2.6,100000
total time: 202.01 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovApril 26, 2016 12:09:10 UTC 2016 年 4 月 26 日 (火) 21 時 9 分 10 秒 (日本時間)
4511e6800Dmitry DomanovApril 30, 2016 23:43:19 UTC 2016 年 5 月 1 日 (日) 8 時 43 分 19 秒 (日本時間)
5043e61000 / 7346400Dmitry DomanovMay 4, 2016 12:14:36 UTC 2016 年 5 月 4 日 (水) 21 時 14 分 36 秒 (日本時間)
600Dmitry DomanovMay 7, 2016 20:51:35 UTC 2016 年 5 月 8 日 (日) 5 時 51 分 35 秒 (日本時間)

8×10255-113

c219

composite cofactor 合成数の残り
999235989075621712459418041957649343369593899088125122510530672534103691979121517633340362301428235500860592959521313766779613622318643239303859791630671039365166706346498910181475016043092286496035073394434513832376257<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10258-113

c213

composite cofactor 合成数の残り
113964474264687685533758600946366393134275498520073055620121667335567631543902594832309580610428252176804054052244944710915197281909607580201825151876577565395085948511745487050506002821602572030794935113937507193<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10259-113

c253

composite cofactor 合成数の残り
1293538839789118890335119209224781688237316128102579182241884874946243355434576257615245053737888252246800160845087033577988418720398071055479023869073948915208415867174775190630031512384753167646207037714725628366000282347190254969925787898145393539223<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10261-113

c247

composite cofactor 合成数の残り
3712559285572569134986810694527207048394719058966474394718479234523665585805482391280581715394987013752858549518872685029318249994753358522142433269761051051044842051051614212537930268209798135851663345624690109407326706864526928749253810644561399<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10263-113

c224

composite cofactor 合成数の残り
14741959829765444199864985213663908433697266637651804199780305560227202861045018302976223423540828562263681762943541166071364496178446031049726984643634236299515732474869960116990708662542654677605846461011850794556849221569<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10267-113

c260

composite cofactor 合成数の残り
22962798696031068827375320908340920600816231623959348567100838366326727404015508626464724811280167157922735745125839566922305476814922847766268928317487696223896059075404804935201436228910962089627770134084001000385806591941528999019543032326376434859538813601<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10269-113

c213

composite cofactor 合成数の残り
253133412562872754337155765614563438627190215771661632310434780580433922454640683254363618534534901577968152342490016644176280820922461791715344100532596485288888171468624301124399012057731323102381222284859512573<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10270-113

c197

name 名前Dmitry Domanov
date 日付February 8, 2017 10:13:32 UTC 2017 年 2 月 8 日 (水) 19 時 13 分 32 秒 (日本時間)
composite number 合成数
42439671614780145498864333445801365173883676106435296794685611904985588114485048058380176342943274773398251193561154621136095405600133812266404461696613727985797784506895454139152941717249365798109<197>
prime factors 素因数
174748435389592677156530845434516008903<39>
242861525599145271672241174678160052588452905988819034807028342649481710796080797669265261494714852928540580526459393897504072045811171182975054568634853983803<159>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2584625745
Step 1 took 33402ms
Step 2 took 10865ms
********** Factor found in step 2: 174748435389592677156530845434516008903
Found probable prime factor of 39 digits: 174748435389592677156530845434516008903

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 09:32:44 UTC 2017 年 2 月 8 日 (水) 18 時 32 分 44 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 09:32:44 UTC 2017 年 2 月 8 日 (水) 18 時 32 分 44 秒 (日本時間)

8×10272-113

c248

composite cofactor 合成数の残り
19684896233961054487653276616911620103392844774254204475475490596757814493382348988147859185726215661195243541560252195605315515019387488556716895819555083882945269738814589954777552781005878580546419854376401536269269890236415450243482700517689803<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10273-113

c217

composite cofactor 合成数の残り
1071175461403565098019636954972643361574331424797776453345406548766446663716779656062246015106123206421896529926986622054512568157659176234980787092678419999340070177728010543037320516526853754579103839451546818414221<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10275-113

c238

composite cofactor 合成数の残り
5317646664516370155694330871777012232857773118416966608367691823970606243290404934092374661546872503843729833232102804306357611075044953678980193082544200946203267199872400273102163662217650504683280435575663663880839258898438521470885503<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10276-113

c247

composite cofactor 合成数の残り
5414649295077979981822420623316858473223660072407957275961903845829998118011934606595552090622774235459812575818106593169713860206518912976547914050840741731971990598195210160607216974091087582033428294676058811344624716898860926291704620363879723<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10277-113

c231

composite cofactor 合成数の残り
995554524650914311361750914572631912782546191996575006981627959213738761976765536183354057145345005400540048072301083766242439518731613639040139614969493064287748264460750129338128578160674792218572814935983596282382023786999287423<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10278-113

c254

composite cofactor 合成数の残り
19531924208231543856845975006837692733121585192327506672364363239039256702077033435731738142138821289273109510441913043920481575051820927191015503993448707636826069089872822119041253646696600989543511768548279122545709553695714075067637544532547754131023<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10279-113

c250

composite cofactor 合成数の残り
2909832999935000518909153389044456190115234826726769169481421230101724426617233080497589547800962306182442081119219709789794402798408223429247939124116920252880264288301788246560574142425095913133080729539462173515695168613819196391015289643414448057<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10281-113

c235

composite cofactor 合成数の残り
3363898318329441876319550132755442935221390101738916442108496716799271835703034200892716100938895423633897018296320114015012127808291007871176031035452530139056337919506348105057921061518368825611343703277788576937875624504385907083007<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10282-113

c270

composite cofactor 合成数の残り
692766649130566528680032178213938391487646939725533221712553781628407908608977289524446085157840275445390520175551894310750245135188850359347246006929646284511725501457307646688500910955746937221296689113897199040954776202749013653060517890577905208494898040462646496039<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10286-113

c262

composite cofactor 合成数の残り
2352181659504858067630671462091753799396668297897904854214600838317269299551132661516092223195576084275664367983419710394676347482248880363086315357901216789432273678661560777304311101481979537501792448514110005697935073965862925760601303114836195307455748315773<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10287-113

c277

composite cofactor 合成数の残り
1079456087184898579852246256681631646909694924946949945502312209807582993675530887334096586866730482930965398599409608331819587740778985670060401111665210416858823706016447713789481322548182474197810118219424443206394336098047016563244046621884999134352677301686754306032661559<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10289-113

c245

composite cofactor 合成数の残り
33509469619519858769108203145046176418810366456721225397601498731909517903211655443306089193763162851077345855201294795386554565616041355822425683922990730032269183526425357934751653288250248508170262208005554170565776836670030335343378267267351<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10290-113

c284

composite cofactor 合成数の残り
59271917106445769122398509252012855782460802555093802624664215328354936835770187070320276544983643544024994374724617116381224227366481301154905895829457505628794652961813993314275930185683357416254152646079899877877623791806798444438171499884012267212323935548606417207467342840697017<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10292-113

c184

name 名前Dmitry Domanov
date 日付April 26, 2016 15:46:14 UTC 2016 年 4 月 27 日 (水) 0 時 46 分 14 秒 (日本時間)
composite number 合成数
9324152374391858089685543249313254677536051079557265311899083784310479712864612384440495474040000884875949218819787692753097491457037486990682730796447343081827942716634650740448919941<184>
prime factors 素因数
123990380612664533501332198413541763<36>
75200610953197424356870837783545984716958915725481524100809672598672684403281734683922553815217301641377436720021267845425737299451539812435305925207<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3966806038
Step 1 took 16946ms
Step 2 took 6651ms
********** Factor found in step 2: 123990380612664533501332198413541763
Found probable prime factor of 36 digits: 123990380612664533501332198413541763

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovApril 26, 2016 12:09:35 UTC 2016 年 4 月 26 日 (火) 21 時 9 分 35 秒 (日本時間)

8×10293-113

c248

composite cofactor 合成数の残り
48437276390855491414705448120064389761939635297155561639827652849290752419240849183064165129393591059156341265490520410799303117001635989152920168188328370037290929320053288207199379815210849652041549223255531298241626477132549218882403591205342581<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10294-113

c274

composite cofactor 合成数の残り
3871753421037872881972343291086880664189268360331074894117159393487954800263091577119841579346386678975826405905328617123850060262395024184879996680706854194734632485144396205161265728411443259612077544726047536780035102449175237676181061630968895694267342664105333131212707<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10295-113

c296

composite cofactor 合成数の残り
26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 27, 2016 11:55:37 UTC 2016 年 4 月 27 日 (水) 20 時 55 分 37 秒 (日本時間)
4511e61200Dmitry DomanovApril 30, 2016 16:57:24 UTC 2016 年 5 月 1 日 (日) 1 時 57 分 24 秒 (日本時間)
5043e64600600Dmitry DomanovMay 6, 2016 17:05:16 UTC 2016 年 5 月 7 日 (土) 2 時 5 分 16 秒 (日本時間)
4000Dmitry DomanovAugust 12, 2016 22:36:06 UTC 2016 年 8 月 13 日 (土) 7 時 36 分 6 秒 (日本時間)
5511e71120 / 16043120Dmitry DomanovMay 8, 2016 00:29:42 UTC 2016 年 5 月 8 日 (日) 9 時 29 分 42 秒 (日本時間)
1000Dmitry DomanovAugust 30, 2016 11:21:18 UTC 2016 年 8 月 30 日 (火) 20 時 21 分 18 秒 (日本時間)

8×10296-113

c205

composite cofactor 合成数の残り
1527331627729657941484900025495119236131681536474366189012100858695072622414282756392258250502998575919136093497963878622117629410536923296355127547645124952527300026712904007434224307862770336402857869569<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10297-113

c262

composite cofactor 合成数の残り
1601098826665710570607094183009689469558212500672589826099149159343814723146731482577455095624073325359688394140195824486430918527861489671455105624406015784308220233785910964520667659416087723791975126883453905667296177366462371199373724421094004518324124073567<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10298-113

c216

composite cofactor 合成数の残り
661025768997558979333259506512172184546484620055669837411648932185379850316762914025238456030993233024853462752395599176913786196279100257248147509202698554528551697556746464295617506309727478610079652831208921617967<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

8×10299-113

c258

composite cofactor 合成数の残り
566904600138895336391954675132289513562152895721086197274128395545987667859451871642834265362812352988191082962015772759449765747901125463150524615395611283638985326332225558932691200069423844801689416830762718860629017315121780725974961406773133474997229721<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)