Table of contents 目次

62×10108-719

c101

name 名前Serge Batalov
date 日付October 20, 2009 04:46:50 UTC 2009 年 10 月 20 日 (火) 13 時 46 分 50 秒 (日本時間)
composite number 合成数
55072823162700645717392882361863966596797818944233425372190155582386502037618509820239844685329597527<101>
prime factors 素因数
50970031012402836704852021263665414998443<41>
1080494205493017112862343898915962169212827499405439214582789<61>
factorization results 素因数分解の結果
SNFS difficulty: 111 digits.
Divisors found:
 r1=50970031012402836704852021263665414998443 (pp41)
 r2=1080494205493017112862343898915962169212827499405439214582789 (pp61)
Version: Msieve v. 1.43 SVN74
Total time: 0.68 hours.
Scaled time: 1.63 units (timescale=2.400).
Factorization parameters were as follows:
n: 55072823162700645717392882361863966596797818944233425372190155582386502037618509820239844685329597527
m: 5000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [312500, 562501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 52609 x 52834
Total sieving time: 0.65 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.68 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10109-719

c110

name 名前Dmitry Domanov
date 日付October 19, 2009 20:50:55 UTC 2009 年 10 月 20 日 (火) 5 時 50 分 55 秒 (日本時間)
composite number 合成数
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<110>
prime factors 素因数
449061934552096085392042792527494669801996839<45>
153406208784095962906433077939688161815955308844860423263872277479<66>
factorization results 素因数分解の結果
Number: s110-2
N=68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
  ( 110 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=449061934552096085392042792527494669801996839 (pp45)
 r2=153406208784095962906433077939688161815955308844860423263872277479 (pp66)
Version: Msieve-1.40
Total time: 0.65 hours.
Scaled time: 1.27 units (timescale=1.963).
Factorization parameters were as follows:
n: 68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
m: 10000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 52311 x 52536
Total sieving time: 0.63 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.65 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10112-719

c100

name 名前Lionel Debroux
date 日付October 19, 2009 16:07:50 UTC 2009 年 10 月 20 日 (火) 1 時 7 分 50 秒 (日本時間)
composite number 合成数
4309993074247592131456495093979585021239721431404665412061236285630073614776160187259377400441674897<100>
prime factors 素因数
3816895807268228595866518144384814798429514241609<49>
1129188034433739419733408412782832185204350656820233<52>
factorization results 素因数分解の結果
Number: 68881_112
N=4309993074247592131456495093979585021239721431404665412061236285630073614776160187259377400441674897
  ( 100 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=3816895807268228595866518144384814798429514241609 (pp49)
 r2=1129188034433739419733408412782832185204350656820233 (pp52)
Version: Msieve v. 1.44
Total time: 4.65 hours.
Scaled time: 7.00 units (timescale=1.506).
Factorization parameters were as follows:
n: 4309993074247592131456495093979585021239721431404665412061236285630073614776160187259377400441674897
m: 20000000000000000000000
deg: 5
c5: 775
c0: -284
skew: 0.82
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85536 x 85784
Total sieving time: 4.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 4.65 hours.
 --------- CPU info (if available) ----------
[    0.029439] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101689] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2043420k/2096800k available (7091k kernel code, 452k absent, 52268k reserved, 3271k data, 540k init)
[    0.000999] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.57 BogoMIPS (lpj=1995288)
[    0.000999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102027] Total of 2 processors activated (7980.40 BogoMIPS).
software ソフトウェア
GGNFS + Msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10117-719

c108

name 名前Serge Batalov
date 日付October 19, 2009 08:46:00 UTC 2009 年 10 月 19 日 (月) 17 時 46 分 0 秒 (日本時間)
composite number 合成数
376288069942023829358484742165211582188070402933623984293152981154661636109865271533852082635446909121112441<108>
prime factors 素因数
60874828950569996693918573606471<32>
6181340899496695595754737044042673115580750936683073986286488159140340843071<76>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2871096336
Step 1 took 4636ms
Step 2 took 2768ms
********** Factor found in step 2: 60874828950569996693918573606471
Found probable prime factor of 32 digits: 60874828950569996693918573606471
Probable prime cofactor has 76 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10118-719

c119

name 名前Dmitry Domanov
date 日付October 19, 2009 15:05:06 UTC 2009 年 10 月 20 日 (火) 0 時 5 分 6 秒 (日本時間)
composite number 合成数
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<119>
prime factors 素因数
3038209372850070299895662480934267163<37>
22674174302959870778545300248598034085760547885859190102759989856304629514396173987<83>
factorization results 素因数分解の結果
Number: snfs119
N=68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=3038209372850070299895662480934267163 (pp37)
 r2=22674174302959870778545300248598034085760547885859190102759989856304629514396173987 (pp83)
Version: Msieve-1.40
Total time: 1.91 hours.
Scaled time: 3.75 units (timescale=1.963).
Factorization parameters were as follows:
n: 68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
m: 500000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 815001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82546 x 82776
Total sieving time: 1.87 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.91 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10120-719

c109

name 名前Jo Yeong Uk
date 日付October 19, 2009 13:53:56 UTC 2009 年 10 月 19 日 (月) 22 時 53 分 56 秒 (日本時間)
composite number 合成数
7264411902712037064371078921236694765958027268481835393958066954761270532172238326642527264043720097080630747<109>
prime factors 素因数
21679127389566080283674645480303460667<38>
335087836893671128683748066753771626945672527368526518443982836779830241<72>
factorization results 素因数分解の結果
Number: 68881_120
N=7264411902712037064371078921236694765958027268481835393958066954761270532172238326642527264043720097080630747
  ( 109 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=21679127389566080283674645480303460667
 r2=335087836893671128683748066753771626945672527368526518443982836779830241
Version: 
Total time: 0.99 hours.
Scaled time: 2.34 units (timescale=2.375).
Factorization parameters were as follows:
n: 7264411902712037064371078921236694765958027268481835393958066954761270532172238326642527264043720097080630747
m: 1000000000000000000000000
deg: 5
c5: 62
c0: -71
skew: 1.03
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [270000, 630001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1298818
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83780 x 84026
Total sieving time: 0.89 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,540000,540000,25,25,46,46,2.2,2.2,30000
total time: 0.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10121-719

c91

name 名前Sinkiti Sibata
date 日付October 19, 2009 13:55:12 UTC 2009 年 10 月 19 日 (月) 22 時 55 分 12 秒 (日本時間)
composite number 合成数
9822905886526234428677805540972954060517545347969510161922102565209757680436219137596506619<91>
prime factors 素因数
15339977635830331306565193967618163<35>
640346819253660171166999735090684748846178296261435303513<57>
factorization results 素因数分解の結果
Mon Oct 19 19:42:02 2009  Msieve v. 1.42
Mon Oct 19 19:42:02 2009  random seeds: a5d802e6 78b647cf
Mon Oct 19 19:42:02 2009  factoring 9822905886526234428677805540972954060517545347969510161922102565209757680436219137596506619 (91 digits)
Mon Oct 19 19:42:03 2009  searching for 15-digit factors
Mon Oct 19 19:42:03 2009  commencing quadratic sieve (91-digit input)
Mon Oct 19 19:42:03 2009  using multiplier of 19
Mon Oct 19 19:42:03 2009  using 64kb Opteron sieve core
Mon Oct 19 19:42:03 2009  sieve interval: 18 blocks of size 65536
Mon Oct 19 19:42:03 2009  processing polynomials in batches of 6
Mon Oct 19 19:42:03 2009  using a sieve bound of 1753547 (65869 primes)
Mon Oct 19 19:42:03 2009  using large prime bound of 177108247 (27 bits)
Mon Oct 19 19:42:03 2009  using double large prime bound of 702796695147472 (42-50 bits)
Mon Oct 19 19:42:03 2009  using trial factoring cutoff of 50 bits
Mon Oct 19 19:42:03 2009  polynomial 'A' values have 12 factors
Mon Oct 19 20:49:59 2009  66216 relations (17589 full + 48627 combined from 792474 partial), need 65965
Mon Oct 19 20:49:59 2009  begin with 810063 relations
Mon Oct 19 20:50:00 2009  reduce to 163501 relations in 11 passes
Mon Oct 19 20:50:00 2009  attempting to read 163501 relations
Mon Oct 19 20:50:01 2009  recovered 163501 relations
Mon Oct 19 20:50:01 2009  recovered 141320 polynomials
Mon Oct 19 20:50:01 2009  attempting to build 66216 cycles
Mon Oct 19 20:50:01 2009  found 66216 cycles in 5 passes
Mon Oct 19 20:50:01 2009  distribution of cycle lengths:
Mon Oct 19 20:50:01 2009     length 1 : 17589
Mon Oct 19 20:50:01 2009     length 2 : 12626
Mon Oct 19 20:50:01 2009     length 3 : 11681
Mon Oct 19 20:50:01 2009     length 4 : 8758
Mon Oct 19 20:50:01 2009     length 5 : 6231
Mon Oct 19 20:50:01 2009     length 6 : 3920
Mon Oct 19 20:50:01 2009     length 7 : 2420
Mon Oct 19 20:50:01 2009     length 9+: 2991
Mon Oct 19 20:50:01 2009  largest cycle: 18 relations
Mon Oct 19 20:50:01 2009  matrix is 65869 x 66216 (17.0 MB) with weight 3932079 (59.38/col)
Mon Oct 19 20:50:01 2009  sparse part has weight 3932079 (59.38/col)
Mon Oct 19 20:50:02 2009  filtering completed in 3 passes
Mon Oct 19 20:50:02 2009  matrix is 61735 x 61799 (16.0 MB) with weight 3687676 (59.67/col)
Mon Oct 19 20:50:02 2009  sparse part has weight 3687676 (59.67/col)
Mon Oct 19 20:50:02 2009  saving the first 48 matrix rows for later
Mon Oct 19 20:50:02 2009  matrix is 61687 x 61799 (9.7 MB) with weight 2816849 (45.58/col)
Mon Oct 19 20:50:02 2009  sparse part has weight 1926080 (31.17/col)
Mon Oct 19 20:50:02 2009  matrix includes 64 packed rows
Mon Oct 19 20:50:02 2009  using block size 21845 for processor cache size 512 kB
Mon Oct 19 20:50:02 2009  commencing Lanczos iteration
Mon Oct 19 20:50:02 2009  memory use: 9.4 MB
Mon Oct 19 20:50:23 2009  lanczos halted after 977 iterations (dim = 61685)
Mon Oct 19 20:50:23 2009  recovered 17 nontrivial dependencies
Mon Oct 19 20:50:23 2009  prp35 factor: 15339977635830331306565193967618163
Mon Oct 19 20:50:23 2009  prp57 factor: 640346819253660171166999735090684748846178296261435303513
Mon Oct 19 20:50:23 2009  elapsed time 01:08:21

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 19, 2009 04:00:00 UTC 2009 年 10 月 19 日 (月) 13 時 0 分 0 秒 (日本時間)

62×10129-719

c86

name 名前Erik Branger
date 日付October 25, 2009 16:55:28 UTC 2009 年 10 月 26 日 (月) 1 時 55 分 28 秒 (日本時間)
composite number 合成数
34248030881724345791926751354933118415888088772687415035676269296160679100087812980319<86>
prime factors 素因数
27413652247099964745959987129<29>
1249305658838193522558789938622451015178573054392034321111<58>
factorization results 素因数分解の結果
Sun Oct 25 17:00:39 2009  Msieve v. 1.43
Sun Oct 25 17:00:39 2009  random seeds: 312f2c38 e5b608c2
Sun Oct 25 17:00:39 2009  factoring 34248030881724345791926751354933118415888088772687415035676269296160679100087812980319 (86 digits)
Sun Oct 25 17:00:40 2009  searching for 15-digit factors
Sun Oct 25 17:00:41 2009  commencing quadratic sieve (86-digit input)
Sun Oct 25 17:00:41 2009  using multiplier of 1
Sun Oct 25 17:00:41 2009  using 64kb Pentium 4 sieve core
Sun Oct 25 17:00:41 2009  sieve interval: 8 blocks of size 65536
Sun Oct 25 17:00:41 2009  processing polynomials in batches of 13
Sun Oct 25 17:00:41 2009  using a sieve bound of 1461403 (55559 primes)
Sun Oct 25 17:00:41 2009  using large prime bound of 116912240 (26 bits)
Sun Oct 25 17:00:41 2009  using double large prime bound of 332772803587280 (41-49 bits)
Sun Oct 25 17:00:41 2009  using trial factoring cutoff of 49 bits
Sun Oct 25 17:00:41 2009  polynomial 'A' values have 11 factors
Sun Oct 25 17:52:41 2009  55902 relations (16079 full + 39823 combined from 580400 partial), need 55655
Sun Oct 25 17:52:43 2009  begin with 596479 relations
Sun Oct 25 17:52:44 2009  reduce to 132644 relations in 9 passes
Sun Oct 25 17:52:44 2009  attempting to read 132644 relations
Sun Oct 25 17:52:48 2009  recovered 132644 relations
Sun Oct 25 17:52:48 2009  recovered 108900 polynomials
Sun Oct 25 17:52:48 2009  attempting to build 55902 cycles
Sun Oct 25 17:52:48 2009  found 55902 cycles in 5 passes
Sun Oct 25 17:52:48 2009  distribution of cycle lengths:
Sun Oct 25 17:52:48 2009     length 1 : 16079
Sun Oct 25 17:52:48 2009     length 2 : 11136
Sun Oct 25 17:52:48 2009     length 3 : 9863
Sun Oct 25 17:52:48 2009     length 4 : 7144
Sun Oct 25 17:52:48 2009     length 5 : 4967
Sun Oct 25 17:52:48 2009     length 6 : 3039
Sun Oct 25 17:52:48 2009     length 7 : 1735
Sun Oct 25 17:52:48 2009     length 9+: 1939
Sun Oct 25 17:52:48 2009  largest cycle: 18 relations
Sun Oct 25 17:52:49 2009  matrix is 55559 x 55902 (12.1 MB) with weight 2954402 (52.85/col)
Sun Oct 25 17:52:49 2009  sparse part has weight 2954402 (52.85/col)
Sun Oct 25 17:52:50 2009  filtering completed in 3 passes
Sun Oct 25 17:52:50 2009  matrix is 50604 x 50668 (11.1 MB) with weight 2695723 (53.20/col)
Sun Oct 25 17:52:50 2009  sparse part has weight 2695723 (53.20/col)
Sun Oct 25 17:52:50 2009  saving the first 48 matrix rows for later
Sun Oct 25 17:52:50 2009  matrix is 50556 x 50668 (6.1 MB) with weight 1989485 (39.27/col)
Sun Oct 25 17:52:50 2009  sparse part has weight 1292326 (25.51/col)
Sun Oct 25 17:52:50 2009  matrix includes 64 packed rows
Sun Oct 25 17:52:50 2009  using block size 20267 for processor cache size 512 kB
Sun Oct 25 17:52:50 2009  commencing Lanczos iteration
Sun Oct 25 17:52:50 2009  memory use: 7.0 MB
Sun Oct 25 17:53:10 2009  lanczos halted after 801 iterations (dim = 50550)
Sun Oct 25 17:53:11 2009  recovered 15 nontrivial dependencies
Sun Oct 25 17:53:11 2009  prp29 factor: 27413652247099964745959987129
Sun Oct 25 17:53:11 2009  prp58 factor: 1249305658838193522558789938622451015178573054392034321111
Sun Oct 25 17:53:11 2009  elapsed time 00:52:32
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10132-719

c130

name 名前Dmitry Domanov
date 日付October 26, 2009 22:47:44 UTC 2009 年 10 月 27 日 (火) 7 時 47 分 44 秒 (日本時間)
composite number 合成数
1204983188540998581229471556566186616912522107554467183643324976191864419956076419256408761393893456163877713641575807047208131693<130>
prime factors 素因数
14196147689937141374294318249731425936067<41>
84880998342609810093756094165793232255873270007284083264233059727258303257959873758507279<89>
factorization results 素因数分解の結果
Number: s130
N=1204983188540998581229471556566186616912522107554467183643324976191864419956076419256408761393893456163877713641575807047208131693
  ( 130 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=14196147689937141374294318249731425936067 (pp41)
 r2=84880998342609810093756094165793232255873270007284083264233059727258303257959873758507279 (pp89)
Version: Msieve-1.40
Total time: 3.18 hours.
Scaled time: 5.79 units (timescale=1.823).
Factorization parameters were as follows:
n: 1204983188540998581229471556566186616912522107554467183643324976191864419956076419256408761393893456163877713641575807047208131693
m: 200000000000000000000000000
deg: 5
c5: 775
c0: -284
skew: 0.82
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206175 x 206400
Total sieving time: 3.08 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,75000
total time: 3.18 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10133-719

c124

name 名前Erik Branger
date 日付October 26, 2009 09:30:11 UTC 2009 年 10 月 26 日 (月) 18 時 30 分 11 秒 (日本時間)
composite number 合成数
1120886714752989012233833245860000318452629651590483870856165594382614990996828653825284052587494909528216045838705574523583<124>
prime factors 素因数
660658928585086985809163336350428170481943780205911441<54>
1696619339049209242025102064325212037235881003135077451714444644950863<70>
factorization results 素因数分解の結果
Number: 68881_133
N=1120886714752989012233833245860000318452629651590483870856165594382614990996828653825284052587494909528216045838705574523583
  ( 124 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=660658928585086985809163336350428170481943780205911441 (pp54)
 r2=1696619339049209242025102064325212037235881003135077451714444644950863 (pp70)
Version: Msieve v. 1.43
Total time: 7.68 hours.
Scaled time: 6.05 units (timescale=0.788).
Factorization parameters were as follows:
n: 1120886714752989012233833245860000318452629651590483870856165594382614990996828653825284052587494909528216045838705574523583
m: 500000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 211824 x 212049
Total sieving time: 7.30 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 7.68 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10135-719

c80

name 名前Erik Branger
date 日付October 25, 2009 16:08:14 UTC 2009 年 10 月 26 日 (月) 1 時 8 分 14 秒 (日本時間)
composite number 合成数
76317326073273886332452818555423918091234042295879702293589897638297267192026427<80>
prime factors 素因数
3023609198798573489557559745506843<34>
25240472910189074574471536572739850312627201889<47>
factorization results 素因数分解の結果
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, starting SIQS on c80: 76317326073273886332452818555423918091234042295879702293589897638297267192026427
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, random seeds: 2974791847, 2559185332
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, ==== sieve params ====
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, n = 81 digits, 267 bits
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, factor base: 43638 primes (max prime = 1126361)
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, single large prime cutoff: 107004295 (95 * pmax)
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, using 0 large prime slices of factor base
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, buckets hold 1024 elements
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, sieve interval: 14 blocks of size 32768
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, polynomial A has ~ 568396561 factors
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, using multiplier of 2
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, using small prime variation correction of 21 bits
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, using SSE2 for trial division and x64 sieve scanning
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, trial factoring cutoff at 92 bits
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, sieve time = 94.7714, relation time = 39.4308, poly_time = 161.4446
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, 43726 relations found: 22156 full + 21570 from 236834 partial, using 7943760 polys (351 A polys)
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, on average, sieving found 0.03 rels/poly and 811.84 rels/sec
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, trial division touched 4575910 sieve locations out of 7288431575040
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
10/25/09 17:04:26 v1.12 @ ERIK-DATOR, begin with 258990 relations
10/25/09 17:04:26 v1.12 @ ERIK-DATOR, reduce to 62563 relations in 2 passes
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, recovered 62563 relations
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, recovered 44959 polynomials
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, attempting to build 43726 cycles
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, found 43726 cycles in 1 passes
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, distribution of cycle lengths:
10/25/09 17:04:34 v1.12 @ ERIK-DATOR,    length 1 : 22156
10/25/09 17:04:34 v1.12 @ ERIK-DATOR,    length 2 : 21570
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, largest cycle: 2 relations
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, matrix is 43638 x 43726 (5.7 MB) with weight 1316031 (30.10/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, sparse part has weight 1316031 (30.10/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, filtering completed in 3 passes
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, matrix is 31257 x 31321 (4.5 MB) with weight 1063089 (33.94/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, sparse part has weight 1063089 (33.94/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, saving the first 48 matrix rows for later
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, matrix is 31209 x 31321 (3.8 MB) with weight 875970 (27.97/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, sparse part has weight 800848 (25.57/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, matrix includes 64 packed rows
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, using block size 12528 for processor cache size 2048 kB
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, commencing Lanczos iteration
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, memory use: 3.8 MB
10/25/09 17:04:39 v1.12 @ ERIK-DATOR, lanczos halted after 495 iterations (dim = 31207)
10/25/09 17:04:39 v1.12 @ ERIK-DATOR, recovered 16 nontrivial dependencies
10/25/09 17:04:40 v1.12 @ ERIK-DATOR, prp34 = 3023609198798573489557559745506843
10/25/09 17:04:41 v1.12 @ ERIK-DATOR, prp47 = 25240472910189074574471536572739850312627201889
10/25/09 17:04:41 v1.12 @ ERIK-DATOR, Lanczos elapsed time = 21.1420 seconds.
10/25/09 17:04:41 v1.12 @ ERIK-DATOR, Sqrt elapsed time = 1.4820 seconds.
10/25/09 17:04:41 v1.12 @ ERIK-DATOR, SIQS elapsed time = 341.6886 seconds.
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10136-719

c115

name 名前Sinkiti Sibata
date 日付October 26, 2009 03:47:18 UTC 2009 年 10 月 26 日 (月) 12 時 47 分 18 秒 (日本時間)
composite number 合成数
6635003835486902970594310750805950658360102961790601430840554603116519491417799716317124902425292622802174699799801<115>
prime factors 素因数
87940173824683258876381753531354451770847<41>
75449064368628461623561903771559610802465731814491611535253595307663468583<74>
factorization results 素因数分解の結果
(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例:GGNFSのサマリファイル、B1とsigmaを含む
Number: 68881_136
N=6635003835486902970594310750805950658360102961790601430840554603116519491417799716317124902425292622802174699799801
  ( 115 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=87940173824683258876381753531354451770847 (pp41)
 r2=75449064368628461623561903771559610802465731814491611535253595307663468583 (pp74)
Version: GGNFS-0.77.1-20060513-k8
Total time: 8.91 hours.
Scaled time: 17.36 units (timescale=1.949).
Factorization parameters were as follows:
name: 68881_136
n: 6635003835486902970594310750805950658360102961790601430840554603116519491417799716317124902425292622802174699799801
m: 2000000000000000000000000000
deg: 5
c5: 155
c0: -568
skew: 1.30
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1540001)
Primes: RFBsize:109205, AFBsize:109291, largePrimes:3393933 encountered
Relations: rels:3341469, finalFF:248129
Max relations in full relation-set: 28
Initial matrix: 218563 x 248129 with sparse part having weight 22264177.
Pruned matrix : 209570 x 210726 with weight 16662072.
Total sieving time: 8.30 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,75000
total time: 8.91 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10138-719

c123

name 名前Sinkiti Sibata
date 日付October 26, 2009 12:09:42 UTC 2009 年 10 月 26 日 (月) 21 時 9 分 42 秒 (日本時間)
composite number 合成数
103508606415347412610445012420502440976795110134999813227178254855128575837561314714804310858344623651363750600965347889639<123>
prime factors 素因数
586223530914985362890505263147233484304329<42>
176568494706771364851457868738726420430749628421559284794116630853036260388793391<81>
factorization results 素因数分解の結果
Number: 68881_138
N=103508606415347412610445012420502440976795110134999813227178254855128575837561314714804310858344623651363750600965347889639
  ( 123 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=586223530914985362890505263147233484304329 (pp42)
 r2=176568494706771364851457868738726420430749628421559284794116630853036260388793391 (pp81)
Version: GGNFS-0.77.1-20060513-k8
Total time: 14.59 hours.
Scaled time: 28.97 units (timescale=1.985).
Factorization parameters were as follows:
name: 68881_138
n: 103508606415347412610445012420502440976795110134999813227178254855128575837561314714804310858344623651363750600965347889639
m: 5000000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 2090001)
Primes: RFBsize:119758, AFBsize:119825, largePrimes:3944588 encountered
Relations: rels:4138860, finalFF:373069
Max relations in full relation-set: 28
Initial matrix: 239650 x 373069 with sparse part having weight 41359806.
Pruned matrix : 204694 x 205956 with weight 20997592.
Total sieving time: 13.95 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 14.59 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10141-719

c113

name 名前Sinkiti Sibata
date 日付October 27, 2009 23:10:11 UTC 2009 年 10 月 28 日 (水) 8 時 10 分 11 秒 (日本時間)
composite number 合成数
25599535095765284772907421390742729405999308114306671311586277227479931833907608502472969991698711464297998646483<113>
prime factors 素因数
67396829659826934567187683042527026494165158749<47>
379832927230764651413352296349336303801716583716324523571650614767<66>
factorization results 素因数分解の結果
Number: 68881_141
N=25599535095765284772907421390742729405999308114306671311586277227479931833907608502472969991698711464297998646483
  ( 113 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=67396829659826934567187683042527026494165158749 (pp47)
 r2=379832927230764651413352296349336303801716583716324523571650614767 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 15.56 hours.
Scaled time: 30.54 units (timescale=1.963).
Factorization parameters were as follows:
name: 68881_141
n: 25599535095765284772907421390742729405999308114306671311586277227479931833907608502472969991698711464297998646483
m: 20000000000000000000000000000
deg: 5
c5: 155
c0: -568
skew: 1.30
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 2170001)
Primes: RFBsize:130902, AFBsize:130802, largePrimes:3951723 encountered
Relations: rels:4084666, finalFF:353287
Max relations in full relation-set: 28
Initial matrix: 261771 x 353287 with sparse part having weight 36947158.
Pruned matrix : 232903 x 234275 with weight 21833316.
Total sieving time: 14.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 15.56 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10142-719

c140

name 名前Dmitry Domanov
date 日付October 27, 2009 17:55:12 UTC 2009 年 10 月 28 日 (水) 2 時 55 分 12 秒 (日本時間)
composite number 合成数
31907776233853121301013843857753074983274149554835057382533065719726210694251453862384848952704441356595131490916576604395038855437187998559<140>
prime factors 素因数
88605204287423670249671527649293<32>
282298075240783523797463502563785239997<39>
1275643702644799867268139877864205097833015033358005502736075772881079<70>
factorization results 素因数分解の結果
Number: s140
N=31907776233853121301013843857753074983274149554835057382533065719726210694251453862384848952704441356595131490916576604395038855437187998559
  ( 140 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=88605204287423670249671527649293 (pp32)
 r2=282298075240783523797463502563785239997 (pp39)
 r3=1275643702644799867268139877864205097833015033358005502736075772881079 (pp70)
Version: Msieve-1.40
Total time: 7.72 hours.
Scaled time: 15.16 units (timescale=1.963).
Factorization parameters were as follows:
n: 31907776233853121301013843857753074983274149554835057382533065719726210694251453862384848952704441356595131490916576604395038855437187998559
m: 20000000000000000000000000000
deg: 5
c5: 775
c0: -284
skew: 0.82
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 2295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 313997 x 314222
Total sieving time: 7.26 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 7.72 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10143-719

c129

name 名前Sinkiti Sibata
date 日付October 27, 2009 05:12:20 UTC 2009 年 10 月 27 日 (火) 14 時 12 分 20 秒 (日本時間)
composite number 合成数
119516106632496283665894694538282365100792261988213590436675492772858536245889750978063107224994882728409718860150351667953733569<129>
prime factors 素因数
103755478159889828751485057885748821715212892879557<51>
1151901651383832725319629282005586242558015694434569307514321563885225997402317<79>
factorization results 素因数分解の結果
Number: 68881_143
N=119516106632496283665894694538282365100792261988213590436675492772858536245889750978063107224994882728409718860150351667953733569
  ( 129 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=103755478159889828751485057885748821715212892879557 (pp51)
 r2=1151901651383832725319629282005586242558015694434569307514321563885225997402317 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.93 hours.
Scaled time: 43.67 units (timescale=1.991).
Factorization parameters were as follows:
name: 68881_143
n: 119516106632496283665894694538282365100792261988213590436675492772858536245889750978063107224994882728409718860150351667953733569
m: 50000000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2855001)
Primes: RFBsize:142718, AFBsize:142742, largePrimes:4317703 encountered
Relations: rels:4561580, finalFF:361745
Max relations in full relation-set: 28
Initial matrix: 285527 x 361745 with sparse part having weight 41726282.
Pruned matrix : 260885 x 262376 with weight 28387579.
Total sieving time: 20.68 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.99 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 21.93 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10144-719

c108

name 名前Jo Yeong Uk
date 日付October 26, 2009 05:23:39 UTC 2009 年 10 月 26 日 (月) 14 時 23 分 39 秒 (日本時間)
composite number 合成数
543166771262499552479231555893942724170566107989350047498766678598794980817702546211216551464640875392695479<108>
prime factors 素因数
45060620799576548736690063731376301<35>
12054134222394110709717782635167614241122684394866782704597181919381457779<74>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 543166771262499552479231555893942724170566107989350047498766678598794980817702546211216551464640875392695479 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4831068078
Step 1 took 2670ms
Step 2 took 1844ms
********** Factor found in step 2: 45060620799576548736690063731376301
Found probable prime factor of 35 digits: 45060620799576548736690063731376301
Probable prime cofactor 12054134222394110709717782635167614241122684394866782704597181919381457779 has 74 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10149-719

c102

name 名前juno1369
date 日付October 29, 2009 02:09:23 UTC 2009 年 10 月 29 日 (木) 11 時 9 分 23 秒 (日本時間)
composite number 合成数
958617206529026163078164168986373017228530684647348271505022568050178553786224842053248585300086776421<102>
prime factors 素因数
43565025495414996045361762082014639<35>
22004284299797228251633148946891172189744868497880149030614978474539<68>
factorization results 素因数分解の結果
Number: 68881_149
N=958617206529026163078164168986373017228530684647348271505022568050178553786224842053248585300086776421
  ( 102 digits)
Divisors found:
 r1=43565025495414996045361762082014639 (pp35)
 r2=22004284299797228251633148946891172189744868497880149030614978474539 (pp68)
Version: Msieve-1.40
Total time: 8.42 hours.
Scaled time: 14.82 units (timescale=1.761).
Factorization parameters were as follows:
name: 68881_149
n: 958617206529026163078164168986373017228530684647348271505022568050178553786224842053248585300086776421
skew: 22580.98
# norm 2.26e+014
c5: 6720
c4: 338199084
c3: -10505707699312
c2: -4051122316080619
c1: 2503178937575702048042
c0: -9365976316249819726224600
# alpha -6.53
Y1: 38483326871
Y0: -42741647054392727347
# Murphy_E 2.68e-009
# M 52154113368020348603538907067962726876078627937292628552976680809307400113998793692763656046280578354
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 2
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 280615 x 280863
Total sieving time: 7.77 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 8.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve v1.41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10150-719

c129

name 名前Sinkiti Sibata
date 日付November 5, 2009 10:29:50 UTC 2009 年 11 月 5 日 (木) 19 時 29 分 50 秒 (日本時間)
composite number 合成数
167026891967514041560512106776883305292659958797087512558130233271448139287140102811153939235403213386239930950692215778269942627<129>
prime factors 素因数
487000537391850390878280007869998072687387<42>
342970652274908800371221025897560617960050601182101051487751425298682261487633167922521<87>
factorization results 素因数分解の結果
Number: 68881_150
N=167026891967514041560512106776883305292659958797087512558130233271448139287140102811153939235403213386239930950692215778269942627
  ( 129 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=487000537391850390878280007869998072687387 (pp42)
 r2=342970652274908800371221025897560617960050601182101051487751425298682261487633167922521 (pp87)
Version: GGNFS-0.77.1-20060513-k8
Total time: 28.87 hours.
Scaled time: 56.06 units (timescale=1.942).
Factorization parameters were as follows:
name: 68881_150
n: 167026891967514041560512106776883305292659958797087512558130233271448139287140102811153939235403213386239930950692215778269942627
m: 1000000000000000000000000000000
deg: 5
c5: 62
c0: -71
skew: 1.03
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176285, largePrimes:6922539 encountered
Relations: rels:6824198, finalFF:406801
Max relations in full relation-set: 28
Initial matrix: 352653 x 406801 with sparse part having weight 42278766.
Pruned matrix : 332656 x 334483 with weight 31669257.
Total sieving time: 26.80 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.72 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 28.87 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
3025e40--
351e6118 / 904Makoto KamadaOctober 25, 2009 15:00:00 UTC 2009 年 10 月 26 日 (月) 0 時 0 分 0 秒 (日本時間)

62×10151-719

c127

name 名前Sinkiti Sibata
date 日付November 11, 2009 03:48:32 UTC 2009 年 11 月 11 日 (水) 12 時 48 分 32 秒 (日本時間)
composite number 合成数
1068362831630975289536719380978717933839318138065193388152189421002793725428131445533649250405126709847471149909608867206808159<127>
prime factors 素因数
12183800517956357535603106021528312450021649863093099<53>
87687157226222913211851853713756716074490652421247217538196733958337598941<74>
factorization results 素因数分解の結果
Number: 68881_151
N=1068362831630975289536719380978717933839318138065193388152189421002793725428131445533649250405126709847471149909608867206808159
  ( 127 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=12183800517956357535603106021528312450021649863093099 (pp53)
 r2=87687157226222913211851853713756716074490652421247217538196733958337598941 (pp74)
Version: Msieve-1.40
Total time: 24.61 hours.
Scaled time: 51.14 units (timescale=2.078).
Factorization parameters were as follows:
name: 68881_151
n: 1068362831630975289536719380978717933839318138065193388152189421002793725428131445533649250405126709847471149909608867206808159
m: 2000000000000000000000000000000
deg: 5
c5: 155
c0: -568
skew: 1.30
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 451516 x 451764
Total sieving time: 23.54 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 24.61 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10152-719

c132

name 名前Sinkiti Sibata
date 日付November 12, 2009 09:20:13 UTC 2009 年 11 月 12 日 (木) 18 時 20 分 13 秒 (日本時間)
composite number 合成数
206550861030187082845434344910136822313692781358486124359562932596625872977417209449469207777000587340003595836995580001075491383141<132>
prime factors 素因数
315834675110482422029126787755351387<36>
653984116715282556173259909244692754554281589932741812886644462514507314473058785355215072340543<96>
factorization results 素因数分解の結果
Number: 68881_152
N=206550861030187082845434344910136822313692781358486124359562932596625872977417209449469207777000587340003595836995580001075491383141
  ( 132 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=315834675110482422029126787755351387 (pp36)
 r2=653984116715282556173259909244692754554281589932741812886644462514507314473058785355215072340543 (pp96)
Version: Msieve-1.40
Total time: 26.52 hours.
Scaled time: 55.30 units (timescale=2.085).
Factorization parameters were as follows:
name: 68881_152
n: 206550861030187082845434344910136822313692781358486124359562932596625872977417209449469207777000587340003595836995580001075491383141
m: 2000000000000000000000000000000
deg: 5
c5: 775
c0: -284
skew: 0.82
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 503235 x 503483
Total sieving time: 25.38 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 26.52 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10154-719

c123

name 名前Erik Branger
date 日付November 10, 2009 21:06:24 UTC 2009 年 11 月 11 日 (水) 6 時 6 分 24 秒 (日本時間)
composite number 合成数
135400873284210690693774015755123458723863999599882657194440727495833755486367006735978429661363061336140811098682184076321<123>
prime factors 素因数
59456498419297853938720187564291652786173012200777<50>
2277309913700930235171299438349941993910174833496615439903369397888974873<73>
factorization results 素因数分解の結果
Number: 68881_154
N=135400873284210690693774015755123458723863999599882657194440727495833755486367006735978429661363061336140811098682184076321
  ( 123 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=59456498419297853938720187564291652786173012200777 (pp50)
 r2=2277309913700930235171299438349941993910174833496615439903369397888974873 (pp73)
Version: Msieve v. 1.43
Total time: 23.11 hours.
Scaled time: 23.09 units (timescale=0.999).
Factorization parameters were as follows:
n: 135400873284210690693774015755123458723863999599882657194440727495833755486367006735978429661363061336140811098682184076321
m: 10000000000000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 506553 x 506780
Total sieving time: 22.27 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 23.11 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10155-719

c117

name 名前Sinkiti Sibata
date 日付November 11, 2009 22:41:31 UTC 2009 年 11 月 12 日 (木) 7 時 41 分 31 秒 (日本時間)
composite number 合成数
447166666318541071021133120076586888737388050135431182917568426080461179199315021134343779030522598595547672164599159<117>
prime factors 素因数
690204344660474179997645180103744985808246178066443143733<57>
647875762848916317184387762028148718967749699167161314240123<60>
factorization results 素因数分解の結果
Number: 68881_155
N=447166666318541071021133120076586888737388050135431182917568426080461179199315021134343779030522598595547672164599159
  ( 117 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=690204344660474179997645180103744985808246178066443143733 (pp57)
 r2=647875762848916317184387762028148718967749699167161314240123 (pp60)
Version: Msieve-1.40
Total time: 35.60 hours.
Scaled time: 120.13 units (timescale=3.374).
Factorization parameters were as follows:
name: 68881_155
n: 447166666318541071021133120076586888737388050135431182917568426080461179199315021134343779030522598595547672164599159
m: 10000000000000000000000000000000
deg: 5
c5: 62
c0: -71
skew: 1.03
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 507864 x 508112
Total sieving time: 35.01 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 35.60 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 KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10157-719

c114

name 名前Jo Yeong Uk
date 日付November 11, 2009 01:14:21 UTC 2009 年 11 月 11 日 (水) 10 時 14 分 21 秒 (日本時間)
composite number 合成数
804932845164033586036914469028264065136979055479450569674957239025392866722070247914821612289988269570817453495701<114>
prime factors 素因数
52297659149807374462667474009984713<35>
15391374265113706485561084794199787764149587902549858512746210928097010187565677<80>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 804932845164033586036914469028264065136979055479450569674957239025392866722070247914821612289988269570817453495701 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8562617314
Step 1 took 2683ms
Step 2 took 1934ms
********** Factor found in step 2: 52297659149807374462667474009984713
Found probable prime factor of 35 digits: 52297659149807374462667474009984713
Probable prime cofactor 15391374265113706485561084794199787764149587902549858512746210928097010187565677 has 80 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
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10158-719

c150

name 名前Sinkiti Sibata
date 日付November 14, 2009 07:22:36 UTC 2009 年 11 月 14 日 (土) 16 時 22 分 36 秒 (日本時間)
composite number 合成数
168091716614481103463083594268062800883645758833805202718252499935061086452976721473033496538452942958137049236729866564856854058353995213907038763471<150>
prime factors 素因数
132575299431508438665738676848358063462718878204534843<54>
1267896186810585277293654903308370039889900735456986092170954192488322227543251134228508640175997<97>
factorization results 素因数分解の結果
Number: 68881_158
N=168091716614481103463083594268062800883645758833805202718252499935061086452976721473033496538452942958137049236729866564856854058353995213907038763471
  ( 150 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=132575299431508438665738676848358063462718878204534843 (pp54)
 r2=1267896186810585277293654903308370039889900735456986092170954192488322227543251134228508640175997 (pp97)
Version: Msieve-1.40
Total time: 44.43 hours.
Scaled time: 89.71 units (timescale=2.019).
Factorization parameters were as follows:
name: 68881_158
n: 168091716614481103463083594268062800883645758833805202718252499935061086452976721473033496538452942958137049236729866564856854058353995213907038763471
m: 50000000000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 631071 x 631319
Total sieving time: 42.50 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 44.43 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 KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10159-719

c126

name 名前Sinkiti Sibata
date 日付November 17, 2009 13:42:23 UTC 2009 年 11 月 17 日 (火) 22 時 42 分 23 秒 (日本時間)
composite number 合成数
135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327<126>
prime factors 素因数
637642494412674002793864923763006295921649455939<48>
211957692852734056509800472053686387750176129582452776229614596712235602760093<78>
factorization results 素因数分解の結果
Number: 68881_159
N=135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327
  ( 126 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=637642494412674002793864923763006295921649455939 (pp48)
 r2=211957692852734056509800472053686387750176129582452776229614596712235602760093 (pp78)
Version: Msieve v. 1.42
Total time: 1.59 hours.
Scaled time: 1.08 units (timescale=0.681).
Factorization parameters were as follows:
name: 68881_159
n: 135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327
m: 100000000000000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 652571 x 652797
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 1.59 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.19 BogoMIPS (lpj=1860598)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574)
Total of 2 processors activated (7442.34 BogoMIPS).

Total time: 27.7 hours

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10162-719

c127

name 名前Jo Yeong Uk
date 日付November 15, 2009 00:38:19 UTC 2009 年 11 月 15 日 (日) 9 時 38 分 19 秒 (日本時間)
composite number 合成数
1069927196854118265491844218314408607974802302696835461705048222248058295906490484465975989906304815245214369775644395405176799<127>
prime factors 素因数
13293896052923584707628730999104405807681<41>
80482590851823351939562778795885505113611415145477307256905540960132767325450472770079<86>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 1069927196854118265491844218314408607974802302696835461705048222248058295906490484465975989906304815245214369775644395405176799 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4381793230
Step 1 took 3319ms
Step 2 took 2107ms
********** Factor found in step 2: 13293896052923584707628730999104405807681
Found probable prime factor of 41 digits: 13293896052923584707628730999104405807681
Probable prime cofactor 80482590851823351939562778795885505113611415145477307256905540960132767325450472770079 has 86 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
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10164-719

c136

name 名前Sinkiti Sibata
date 日付November 29, 2009 22:54:17 UTC 2009 年 11 月 30 日 (月) 7 時 54 分 17 秒 (日本時間)
composite number 合成数
7453229079683634188103196101922610125639868950413398574507032854609890070168290130051336575627502110007583354854997020130458699173995831<136>
prime factors 素因数
992475357917463346229619663566535046949<39>
7509737163976481080866171857101385836152469516008259754713441097351260965314523929224542143986219<97>
factorization results 素因数分解の結果
Number: 68881_164
N=7453229079683634188103196101922610125639868950413398574507032854609890070168290130051336575627502110007583354854997020130458699173995831
  ( 136 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=992475357917463346229619663566535046949 (pp39)
 r2=7509737163976481080866171857101385836152469516008259754713441097351260965314523929224542143986219 (pp97)
Version: Msieve-1.40
Total time: 43.13 hours.
Scaled time: 144.79 units (timescale=3.357).
Factorization parameters were as follows:
name: 68881_164
n: 7453229079683634188103196101922610125639868950413398574507032854609890070168290130051336575627502110007583354854997020130458699173995831
m: 1000000000000000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 801871 x 802119
Total sieving time: 41.78 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 43.13 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e60 / 1283--
4511e6300 / 4475Dmitry DomanovNovember 23, 2009 13:07:09 UTC 2009 年 11 月 23 日 (月) 22 時 7 分 9 秒 (日本時間)

62×10168-719

c162

name 名前Ignacio Santos
date 日付November 13, 2009 12:49:29 UTC 2009 年 11 月 13 日 (金) 21 時 49 分 29 秒 (日本時間)
composite number 合成数
547621796453341567445325682738862933823889405552388623376227400410272950337071373218094982227155411347304808226247436743565927477049943363982223737191424281531023<162>
prime factors 素因数
417996494895948005785248123398354871614766916243498866195380490935959<69>
1310110977341236383525940660843416170256038120437603143534793254416808586880932126433244177097<94>
factorization results 素因数分解の結果
Number: 68881_168
N=547621796453341567445325682738862933823889405552388623376227400410272950337071373218094982227155411347304808226247436743565927477049943363982223737191424281531023
  ( 162 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=417996494895948005785248123398354871614766916243498866195380490935959 (pp69)
 r2=1310110977341236383525940660843416170256038120437603143534793254416808586880932126433244177097 (pp94)
Version: Msieve v. 1.43
Total time: 71.81 hours.
Scaled time: 124.87 units (timescale=1.739).
Factorization parameters were as follows:
n: 547621796453341567445325682738862933823889405552388623376227400410272950337071373218094982227155411347304808226247436743565927477049943363982223737191424281531023
m: 5000000000000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 6400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1056436 x 1056661
Total sieving time: 69.24 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.98 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 71.81 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10169-719

c119

name 名前Wataru Sakai
date 日付November 14, 2009 04:20:33 UTC 2009 年 11 月 14 日 (土) 13 時 20 分 33 秒 (日本時間)
composite number 合成数
79814675419467047847624984013461045496851923194054626061441496047366444723808966701457240684451974369636851225969938811<119>
prime factors 素因数
82660081394313266012448446052941500919<38>
965577024280041750953286497287634496570237721902454230853822326500051858350496669<81>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1887201488
Step 1 took 126018ms
Step 2 took 42743ms
********** Factor found in step 2: 82660081394313266012448446052941500919
Found probable prime factor of 38 digits: 82660081394313266012448446052941500919
Probable prime cofactor 965577024280041750953286497287634496570237721902454230853822326500051858350496669 has 81 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
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerNovember 11, 2009 06:34:10 UTC 2009 年 11 月 11 日 (水) 15 時 34 分 10 秒 (日本時間)

62×10170-719

c165

name 名前Dmitry Domanov
date 日付November 15, 2009 13:10:50 UTC 2009 年 11 月 15 日 (日) 22 時 10 分 50 秒 (日本時間)
composite number 合成数
523340169675323979218668320421602840690440997658559198931643248460219267713735290659331800959552642070185150155157698853015608451741156964995042195989374168722676051<165>
prime factors 素因数
15602471926924933938592663806430212082428034579139978305230145191169585707783895579<83>
33542131793373349803791167429073588671109887449475537586566666088049681406989340969<83>
factorization results 素因数分解の結果
N=523340169675323979218668320421602840690440997658559198931643248460219267713735290659331800959552642070185150155157698853015608451741156964995042195989374168722676051
  ( 165 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=15602471926924933938592663806430212082428034579139978305230145191169585707783895579 (pp83)
 r2=33542131793373349803791167429073588671109887449475537586566666088049681406989340969 (pp83)
Version: Msieve-1.40
Total time: 69.39 hours.
Scaled time: 129.34 units (timescale=1.864).
Factorization parameters were as follows:
n: 523340169675323979218668320421602840690440997658559198931643248460219267713735290659331800959552642070185150155157698853015608451741156964995042195989374168722676051
m: 10000000000000000000000000000000000
deg: 5
c5: 62
c0: -71
skew: 1.03
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1047650 x 1047883
Total sieving time: 67.68 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 69.39 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10171-719

c163

name 名前Wataru Sakai
date 日付November 14, 2009 04:23:10 UTC 2009 年 11 月 14 日 (土) 13 時 23 分 10 秒 (日本時間)
composite number 合成数
1278023441412254406720971486817825141918529955238348059578277651238955634560825045060823107958631631273317276544058946303881944997837612886525084188543492188586647<163>
prime factors 素因数
1600606687685207079981972189175964607847<40>
798461890260203983777865595532676387857491818084310489921571287545918302724829696269195481540944560007643355765101773720401<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=484386855
Step 1 took 52247ms
********** Factor found in step 1: 1600606687685207079981972189175964607847
Found probable prime factor of 40 digits: 1600606687685207079981972189175964607847
Probable prime cofactor 798461890260203983777865595532676387857491818084310489921571287545918302724829696269195481540944560007643355765101773720401 has 123 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
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10172-719

c133

name 名前Ignacio Santos
date 日付September 9, 2010 06:22:47 UTC 2010 年 9 月 9 日 (木) 15 時 22 分 47 秒 (日本時間)
composite number 合成数
6131569898808353422195456851216100388129614969319717545922629434421685921112212090545779936464633725553718178565912568576916347802379<133>
prime factors 素因数
19241557073510691494045340621508772195929248415185836803631<59>
318662875118849535862831249227324089589020289200621349968867740031649588709<75>
factorization results 素因数分解の結果
Number: 13
N=6131569898808353422195456851216100388129614969319717545922629434421685921112212090545779936464633725553718178565912568576916347802379
  ( 133 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=19241557073510691494045340621508772195929248415185836803631 (pp59)
 r2=318662875118849535862831249227324089589020289200621349968867740031649588709 (pp75)
Version: Msieve-1.40
Total time: 94.60 hours.
Scaled time: 164.52 units (timescale=1.739).
Factorization parameters were as follows:
n: 6131569898808353422195456851216100388129614969319717545922629434421685921112212090545779936464633725553718178565912568576916347802379
m: 10000000000000000000000000000000000
deg: 5
c5: 6200
c0: -71
skew: 0.41
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1151552 x 1151785
Total sieving time: 92.24 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 94.60 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
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 14, 2009 05:04:57 UTC 2009 年 11 月 14 日 (土) 14 時 4 分 57 秒 (日本時間)
4511e6300 / 3138Rich DickersonJuly 22, 2010 14:48:58 UTC 2010 年 7 月 22 日 (木) 23 時 48 分 58 秒 (日本時間)
5043e6110 / 7253Rich DickersonJuly 22, 2010 23:20:29 UTC 2010 年 7 月 23 日 (金) 8 時 20 分 29 秒 (日本時間)
5511e760 / 17693Rich DickersonJuly 22, 2010 23:20:29 UTC 2010 年 7 月 23 日 (金) 8 時 20 分 29 秒 (日本時間)

62×10173-719

c154

name 名前Markus Tervooren
date 日付March 28, 2010 09:04:30 UTC 2010 年 3 月 28 日 (日) 18 時 4 分 30 秒 (日本時間)
composite number 合成数
9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069<154>
prime factors 素因数
13747849624252982866878190831354294568317447902860531<53>
700520402495505366231528579522647492308435032396389386442394396168800788489706075578189543632881202599<102>
factorization results 素因数分解の結果
Msieve v. 1.44
Sun Mar 28 06:56:32 2010
random seeds: 3ec7bea7 1b8dbfd1
factoring 9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -71
A1:  0
A2:  0
A3:  0
A4:  0
A5:  62000
skew 0.26, size 1.604871e-12, alpha -0.203144, combined = 1.145720e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
found 3943969 hash collisions in 32112928 relations
added 1921 free relations
commencing duplicate removal, pass 2
found 2799303 duplicates and 29315546 unique relations
memory use: 165.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 896.3 MB
keeping 33403360 ideals with weight <= 200, target excess is 151194
commencing in-memory singleton removal
begin with 29315546 relations and 33403360 unique ideals
reduce to 8144515 relations and 7714786 ideals in 21 passes
max relations containing the same ideal: 85
removing 1345391 relations and 1218219 ideals in 127172 cliques
commencing in-memory singleton removal
begin with 6799124 relations and 7714786 unique ideals
reduce to 6616166 relations and 6309444 ideals in 11 passes
max relations containing the same ideal: 74
removing 978812 relations and 851640 ideals in 127172 cliques
commencing in-memory singleton removal
begin with 5637354 relations and 6309444 unique ideals
reduce to 5516539 relations and 5334375 ideals in 11 passes
max relations containing the same ideal: 65
relations with 0 large ideals: 3507
relations with 1 large ideals: 3108
relations with 2 large ideals: 45102
relations with 3 large ideals: 276772
relations with 4 large ideals: 886990
relations with 5 large ideals: 1570030
relations with 6 large ideals: 1589446
relations with 7+ large ideals: 1141584
commencing 2-way merge
reduce to 3020802 relation sets and 2838648 unique ideals
ignored 11 oversize relation sets
commencing full merge
memory use: 316.2 MB
found 1501538 cycles, need 1476848
weight of 1476848 cycles is about 103398622 (70.01/cycle)
distribution of cycle lengths:
1 relations: 190953
2 relations: 172136
3 relations: 168700
4 relations: 150135
5 relations: 133056
6 relations: 113439
7 relations: 99860
8 relations: 84794
9 relations: 71396
10+ relations: 292379
heaviest cycle: 23 relations
commencing cycle optimization
start with 8811420 relations
pruned 152828 relations
memory use: 305.8 MB
distribution of cycle lengths:
1 relations: 190953
2 relations: 175248
3 relations: 173068
4 relations: 152507
5 relations: 135027
6 relations: 114484
7 relations: 100316
8 relations: 84459
9 relations: 70633
10+ relations: 280153
heaviest cycle: 23 relations
RelProcTime: 680
elapsed time 00:11:21
-> Doing matrix solving step...
=>nice -n 19  "../msieve" -s 173.dat -l ggnfs.log -i 173.ini -v -nf 173.fb -t 4 -nc2


Msieve v. 1.44
Sun Mar 28 07:07:54 2010
random seeds: 422a437e c706428c
factoring 9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -71
A1:  0
A2:  0
A3:  0
A4:  0
A5:  62000
skew 0.26, size 1.604871e-12, alpha -0.203144, combined = 1.145720e-10

commencing linear algebra
read 1476848 cycles
cycles contain 5243239 unique relations
read 5243239 relations
using 20 quadratic characters above 536865188
building initial matrix
memory use: 634.9 MB
read 1476848 cycles
matrix is 1476650 x 1476848 (444.9 MB) with weight 132135330 (89.47/col)
sparse part has weight 100390704 (67.98/col)
filtering completed in 2 passes
matrix is 1469552 x 1469748 (444.2 MB) with weight 131870777 (89.72/col)
sparse part has weight 100282224 (68.23/col)
read 1469748 cycles
matrix is 1469552 x 1469748 (444.2 MB) with weight 131870777 (89.72/col)
sparse part has weight 100282224 (68.23/col)
saving the first 48 matrix rows for later
matrix is 1469504 x 1469748 (422.4 MB) with weight 105342275 (71.67/col)
sparse part has weight 96040632 (65.34/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 449.2 MB
linear algebra at 0.1%, ETA 2h40m469748 dimensions (0.1%, ETA 2h40m)
linear algebra completed 1469308 of 1469748 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 23237 iterations (dim = 1469504)
recovered 39 nontrivial dependencies
BLanczosTime: 9229
elapsed time 02:33:50
=>nice -n 19  "../msieve" -s 173.dat -l ggnfs.log -i 173.ini -v -nf 173.fb -t 4 -nc3


Msieve v. 1.44
Sun Mar 28 09:41:44 2010
random seeds: 15add300 e4b1f39a
factoring 9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -71
A1:  0
A2:  0
A3:  0
A4:  0
A5:  62000
skew 0.26, size 1.604871e-12, alpha -0.203144, combined = 1.145720e-10

commencing square root phase
reading relations for dependency 1
read 735335 cycles
cycles contain 2620068 unique relations
read 2620068 relations
multiplying 2620068 relations
multiply complete, coefficients have about 96.89 million bits
initial square root is modulo 9001481
sqrtTime: 339
prp53 factor: 13747849624252982866878190831354294568317447902860531
prp102 factor: 700520402495505366231528579522647492308435032396389386442394396168800788489706075578189543632881202599
elapsed time 00:05:41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 14, 2009 09:39:01 UTC 2009 年 11 月 14 日 (土) 18 時 39 分 1 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeFebruary 6, 2010 20:20:09 UTC 2010 年 2 月 7 日 (日) 5 時 20 分 9 秒 (日本時間)

62×10175-719

c131

name 名前Ignacio Santos
date 日付July 6, 2011 23:10:08 UTC 2011 年 7 月 7 日 (木) 8 時 10 分 8 秒 (日本時間)
composite number 合成数
39901588414379418683020886356713895092528159926242165642732081909167976272116931031734311622229689590723086591414392204910717947527<131>
prime factors 素因数
1804539085935747042353209054721019414737<40>
22111789500912016575360420235097383184198607574360053220678942493410735988086756814987507671<92>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=629536205
Step 1 took 250975ms
Step 2 took 106033ms
********** Factor found in step 2: 1804539085935747042353209054721019414737
Found probable prime factor of 40 digits: 1804539085935747042353209054721019414737
Probable prime cofactor 22111789500912016575360420235097383184198607574360053220678942493410735988086756814987507671 has 92 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 05:36:53 UTC 2010 年 10 月 21 日 (木) 14 時 36 分 53 秒 (日本時間)
403e6110 / 2126Ignacio SantosOctober 21, 2010 05:36:53 UTC 2010 年 10 月 21 日 (木) 14 時 36 分 53 秒 (日本時間)
4511e632 / 4437Ignacio SantosOctober 21, 2010 05:36:53 UTC 2010 年 10 月 21 日 (木) 14 時 36 分 53 秒 (日本時間)

62×10177-719

c146

name 名前Dmitry Domanov
date 日付May 27, 2013 06:19:48 UTC 2013 年 5 月 27 日 (月) 15 時 19 分 48 秒 (日本時間)
composite number 合成数
14825834187446705079439533604132230002748318169046279856770609295034464506720670200474706190673647166316978739211516210021639736789043637107897291<146>
prime factors 素因数
238966575127733273194337403284329761676829545254349<51>
62041455712046535661308736072160609945146869881865387749045278016528341417681481950661904314359<95>
factorization results 素因数分解の結果
N=14825834187446705079439533604132230002748318169046279856770609295034464506720670200474706190673647166316978739211516210021639736789043637107897291
  ( 146 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=238966575127733273194337403284329761676829545254349 (pp51)
 r2=62041455712046535661308736072160609945146869881865387749045278016528341417681481950661904314359 (pp95)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 119.12 hours.
Scaled time: 229.43 units (timescale=1.926).
Factorization parameters were as follows:
n: 14825834187446705079439533604132230002748318169046279856770609295034464506720670200474706190673647166316978739211516210021639736789043637107897291
m: 100000000000000000000000000000000000
deg: 5
c5: 6200
c0: -71
skew: 0.41
# Murphy_E = 8.341e-11
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, 9750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1467180 x 1467408
Total sieving time: 116.12 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.70 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: 119.12 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 05:37:41 UTC 2010 年 10 月 21 日 (木) 14 時 37 分 41 秒 (日本時間)
403e6110Ignacio SantosOctober 21, 2010 05:37:41 UTC 2010 年 10 月 21 日 (木) 14 時 37 分 41 秒 (日本時間)
4511e6632 / 443732Ignacio SantosOctober 21, 2010 05:37:41 UTC 2010 年 10 月 21 日 (木) 14 時 37 分 41 秒 (日本時間)
600Rich DickersonFebruary 5, 2012 12:54:53 UTC 2012 年 2 月 5 日 (日) 21 時 54 分 53 秒 (日本時間)

62×10179-719

c166

name 名前matsui
date 日付September 3, 2010 12:32:27 UTC 2010 年 9 月 3 日 (金) 21 時 32 分 27 秒 (日本時間)
composite number 合成数
7251788790318064146171197633781451474510860112727706738246845498494651261115805645384490194578410021802197358785454384659195187447066143061746464046622783073969839983<166>
prime factors 素因数
22274774092018720591952878118642118037093721287366964343776359043<65>
325560598745486458110030411610180038828726195268318511365457811367609239123848654166080661556145052581<102>
factorization results 素因数分解の結果
N=7251788790318064146171197633781451474510860112727706738246845498494651261115805645384490194578410021802197358785454384659195187447066143061746464046622783073969839983
  ( 166 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=22274774092018720591952878118642118037093721287366964343776359043 (pp65)
 r2=325560598745486458110030411610180038828726195268318511365457811367609239123848654166080661556145052581 (pp102)
Version: Msieve v. 1.47
Total time:
Scaled time: 16.12 units (timescale=1.764).
Factorization parameters were as follows:
n: 7251788790318064146171197633781451474510860112727706738246845498494651261115805645384490194578410021802197358785454384659195187447066143061746464046622783073969839983
m: 200000000000000000000000000000000000
deg: 5
c5: 19375
c0: -71
skew: 0.33
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 160000

Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 10800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1641928 x 1642155
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10181-719

c132

name 名前Warut Roonguthai
date 日付February 4, 2013 02:20:35 UTC 2013 年 2 月 4 日 (月) 11 時 20 分 35 秒 (日本時間)
composite number 合成数
165288359412382952451435551347536075032613516138519364067267429209558101775633445878594044199992699783601411950444215928876067574833<132>
prime factors 素因数
1014326788198981064000715225686482811984204431536023021789073901<64>
162953755471514019409690796180428868456169536830098891189749651346133<69>
factorization results 素因数分解の結果
N = 165288359412382952451435551347536075032613516138519364067267429209558101775633445878594044199992699783601411950444215928876067574833 (132 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=1014326788198981064000715225686482811984204431536023021789073901 (pp64)
r2=162953755471514019409690796180428868456169536830098891189749651346133 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 38.08 hours.
Factorization parameters were as follows:
name: (62*10^181-71)/9
n: 165288359412382952451435551347536075032613516138519364067267429209558101775633445878594044199992699783601411950444215928876067574833
Y0: 1000000000000000000000000000000000000
Y1: -1
c0: -71
c1: 0
c2: 0
c3: 0
c4: 0
c5: 620
skew: 0.65
type: snfs
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22230914
Relations: 3399282 relations
Pruned matrix : 1956245 x 1956493
Polynomial selection time: 0.00 hours.
Total sieving time: 34.73 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.17 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,55,55,2.5,2.5,100000
total time: 38.08 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 13, 2009 13:19:30 UTC 2009 年 11 月 13 日 (金) 22 時 19 分 30 秒 (日本時間)

62×10182-719

c166

name 名前Dmitry Domanov
date 日付June 13, 2013 13:05:15 UTC 2013 年 6 月 13 日 (木) 22 時 5 分 15 秒 (日本時間)
composite number 合成数
6112538125143339403682070800127014492696980926977552292517113322028367034824249807414106430481749886778038169406495902063539199794271733710927769637918756916035955937<166>
prime factors 素因数
104116417924722774030214039077850880094619<42>
58708686362632706528486837306424794045265588871805992849769571183911160958348282630549377406550854531974697382701861488726323<125>
factorization results 素因数分解の結果
N=6112538125143339403682070800127014492696980926977552292517113322028367034824249807414106430481749886778038169406495902063539199794271733710927769637918756916035955937
  ( 166 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=104116417924722774030214039077850880094619 (pp42)
 r2=58708686362632706528486837306424794045265588871805992849769571183911160958348282630549377406550854531974697382701861488726323 (pp125)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 195.89 hours.
Scaled time: 377.09 units (timescale=1.925).
Factorization parameters were as follows:
n: 6112538125143339403682070800127014492696980926977552292517113322028367034824249807414106430481749886778038169406495902063539199794271733710927769637918756916035955937
m: 1000000000000000000000000000000000000
deg: 5
c5: 6200
c0: -71
skew: 0.41
# Murphy_E = 5.246e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 14250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1807554 x 1807781
Total sieving time: 192.40 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.15 hours.
Time per square root: 0.13 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: 195.89 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 06:10:38 UTC 2010 年 10 月 21 日 (木) 15 時 10 分 38 秒 (日本時間)
403e61110110Ignacio SantosOctober 21, 2010 06:10:38 UTC 2010 年 10 月 21 日 (木) 15 時 10 分 38 秒 (日本時間)
1000Dmitry DomanovFebruary 23, 2013 17:49:29 UTC 2013 年 2 月 24 日 (日) 2 時 49 分 29 秒 (日本時間)
4511e6432 / 421632Ignacio SantosOctober 21, 2010 06:10:38 UTC 2010 年 10 月 21 日 (木) 15 時 10 分 38 秒 (日本時間)
400Dmitry DomanovFebruary 27, 2013 22:51:52 UTC 2013 年 2 月 28 日 (木) 7 時 51 分 52 秒 (日本時間)

62×10183-719

c179

name 名前Dmitry Domanov
date 日付December 9, 2009 00:56:11 UTC 2009 年 12 月 9 日 (水) 9 時 56 分 11 秒 (日本時間)
composite number 合成数
10112382824802804457342625634531634387777586947327696821629147279842416454999814878153126593821627679353303332176933426432496501033991143836086755763283471130859616150258265364257<179>
prime factors 素因数
158335949136530495728829921281768556200044049<45>
63866625867023175938335010351970045440329405009221671936038865883820121592393893151960105634735076570416240607359428554200004909797393<134>
factorization results 素因数分解の結果
N=10112382824802804457342625634531634387777586947327696821629147279842416454999814878153126593821627679353303332176933426432496501033991143836086755763283471130859616150258265364257
  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=158335949136530495728829921281768556200044049 (pp45)
 r2=63866625867023175938335010351970045440329405009221671936038865883820121592393893151960105634735076570416240607359428554200004909797393 (pp134)
Version: Msieve-1.40
Total time: 253.94 hours.
Scaled time: 491.11 units (timescale=1.934).
Factorization parameters were as follows:
n: 10112382824802804457342625634531634387777586947327696821629147279842416454999814878153126593821627679353303332176933426432496501033991143836086755763283471130859616150258265364257
m: 1000000000000000000000000000000000000
deg: 5
c5: 62000
c0: -71
skew: 0.26
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1833346 x 1833571
Total sieving time: 248.73 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.66 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 253.94 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10185-719

c156

name 名前Jo Yeong Uk
date 日付October 23, 2014 12:21:28 UTC 2014 年 10 月 23 日 (木) 21 時 21 分 28 秒 (日本時間)
composite number 合成数
640248985256579574295874451190318880409954060259251858070195199724956525382588920395435862442873956243372874586691358563994131291300585312424056075190659677<156>
prime factors 素因数
4098975826326497210093986458258553474718395109267<49>
156197306933222589187815129076914757251842184452213959253441002529706482659212178202217511668001848596657231<108>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 640248985256579574295874451190318880409954060259251858070195199724956525382588920395435862442873956243372874586691358563994131291300585312424056075190659677 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6602010064
Step 1 took 29568ms
Step 2 took 9803ms
********** Factor found in step 2: 4098975826326497210093986458258553474718395109267
Found probable prime factor of 49 digits: 4098975826326497210093986458258553474718395109267
Probable prime cofactor 156197306933222589187815129076914757251842184452213959253441002529706482659212178202217511668001848596657231 has 108 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 11:54:13 UTC 2010 年 10 月 21 日 (木) 20 時 54 分 13 秒 (日本時間)
403e61110110Ignacio SantosOctober 21, 2010 11:54:13 UTC 2010 年 10 月 21 日 (木) 20 時 54 分 13 秒 (日本時間)
1000Dmitry DomanovFebruary 23, 2013 17:49:43 UTC 2013 年 2 月 24 日 (日) 2 時 49 分 43 秒 (日本時間)
4511e6332 / 421632Ignacio SantosOctober 21, 2010 11:54:13 UTC 2010 年 10 月 21 日 (木) 20 時 54 分 13 秒 (日本時間)
300Dmitry DomanovFebruary 27, 2013 17:10:54 UTC 2013 年 2 月 28 日 (木) 2 時 10 分 54 秒 (日本時間)

62×10187-719

c131

name 名前Ignacio Santos
date 日付October 8, 2010 07:40:22 UTC 2010 年 10 月 8 日 (金) 16 時 40 分 22 秒 (日本時間)
composite number 合成数
50266401073944387005872937866183784917399113571780638731571774164778399859981921931914065676985560744592344630601055339358805564449<131>
prime factors 素因数
163168220130428295100944902596776062790769135153760891384357<60>
308064897893499160517759951445054687650987181382443041252475422789057357<72>
factorization results 素因数分解の結果
Number: 7
N=50266401073944387005872937866183784917399113571780638731571774164778399859981921931914065676985560744592344630601055339358805564449
  ( 131 digits)
Divisors found:
 r1=163168220130428295100944902596776062790769135153760891384357 (pp60)
 r2=308064897893499160517759951445054687650987181382443041252475422789057357 (pp72)
Version: Msieve-1.40
Total time: 133.85 hours.
Scaled time: 232.77 units (timescale=1.739).
Factorization parameters were as follows:
# Murphy_E = 7.589915e-11, selected by Jeff Gilchrist
n: 50266401073944387005872937866183784917399113571780638731571774164778399859981921931914065676985560744592344630601055339358805564449
Y0: -21653415488945598926207766
Y1: 196312615171231
c0: 2350999629532446234220957906951
c1: -32053121770554884347452566
c2: 737775600128643588657
c3: -3917510648928802
c4: -48737390056
c5: 10560
skew: 202553.3
type: gnfs
# selected mechanically
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5100000, 10600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1532685 x 1532910
Total sieving time: 129.59 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.47 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
gnfs,130,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,10200000,10200000,28,28,54,54,2.6,2.6,100000
total time: 133.85 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
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 12, 2009 12:49:40 UTC 2009 年 11 月 12 日 (木) 21 時 49 分 40 秒 (日本時間)
4511e64000Wataru SakaiAugust 24, 2010 07:46:16 UTC 2010 年 8 月 24 日 (火) 16 時 46 分 16 秒 (日本時間)

62×10190-719

c190

name 名前Dmitry Domanov
date 日付November 16, 2009 18:46:41 UTC 2009 年 11 月 17 日 (火) 3 時 46 分 41 秒 (日本時間)
composite number 合成数
4052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993<190>
prime factors 素因数
159056495352762286480580492048359527989<39>
composite cofactor 合成数の残り
25477033004606382089474543221740888076315860678491961319226765661507788975891994600263548413995024764740782104709424866797319890147044298005667883592637<152>
factorization results 素因数分解の結果
Factor=159056495352762286480580492048359527989  Method=ECM  B1=11000000  Sigma=3757089473
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 21, 2010 11:54:50 UTC 2010 年 10 月 21 日 (木) 20 時 54 分 50 秒 (日本時間)
403e61110110Ignacio SantosOctober 21, 2010 11:54:50 UTC 2010 年 10 月 21 日 (木) 20 時 54 分 50 秒 (日本時間)
1000Dmitry DomanovFebruary 23, 2013 17:49:59 UTC 2013 年 2 月 24 日 (日) 2 時 49 分 59 秒 (日本時間)
4511e61332 / 421632Ignacio SantosOctober 21, 2010 11:54:50 UTC 2010 年 10 月 21 日 (木) 20 時 54 分 50 秒 (日本時間)
800Dmitry DomanovFebruary 26, 2013 23:32:28 UTC 2013 年 2 月 27 日 (水) 8 時 32 分 28 秒 (日本時間)
500Dmitry DomanovJuly 23, 2014 07:25:23 UTC 2014 年 7 月 23 日 (水) 16 時 25 分 23 秒 (日本時間)

62×10191-719

c151

name 名前Wataru Sakai
date 日付November 11, 2009 13:34:46 UTC 2009 年 11 月 11 日 (水) 22 時 34 分 46 秒 (日本時間)
composite number 合成数
2560821369236858051113767017554837194644209263733552070040392103160664035898735258272391683372064172672420988097846022743915507862976643065388995155989<151>
prime factors 素因数
517452552714882800113775903751182527043<39>
composite cofactor 合成数の残り
4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1659986578
Step 1 took 46926ms
Step 2 took 16405ms
********** Factor found in step 2: 517452552714882800113775903751182527043
Found probable prime factor of 39 digits: 517452552714882800113775903751182527043
Composite cofactor 4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023 has 112 digits
software ソフトウェア
GMP-ECM 6.2.1

c112

name 名前Dmitry Domanov
date 日付November 12, 2009 17:56:42 UTC 2009 年 11 月 13 日 (金) 2 時 56 分 42 秒 (日本時間)
composite number 合成数
4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023<112>
prime factors 素因数
231966688952782810983569504127235672501575217898942363<54>
21334532365287813355167771978525860077741292728723571466821<59>
factorization results 素因数分解の結果
N=4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023
  ( 112 digits)
Divisors found:
 r1=231966688952782810983569504127235672501575217898942363 (pp54)
 r2=21334532365287813355167771978525860077741292728723571466821 (pp59)
Version: Msieve-1.40
Total time: 20.06 hours.
Scaled time: 39.49 units (timescale=1.969).
Factorization parameters were as follows:
name: 112-1
n: 4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023
skew: 35745.19
# norm 5.68e+015
c5: 20520
c4: 7874928393
c3: -125171518425754
c2: -10002823683309029156
c1: 186591281683383709662296
c0: -10471410601966863892978464
# alpha -6.73
Y1: 577849820273
Y0: -2995434647356879034675
# Murphy_E 7.92e-010
# M 1904396237109010344233056436440516679725570088245749401332422872741388847060985884113432289929434595461246543295
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 392267 x 392493
Polynomial selection time: 1.84 hours.
Total sieving time: 17.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 20.06 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10192-719

c181

name 名前Wataru Sakai
date 日付November 12, 2009 12:45:41 UTC 2009 年 11 月 12 日 (木) 21 時 45 分 41 秒 (日本時間)
composite number 合成数
8530381191671259541168926169435991507271210316825334090090508866672269434324240593730784992808917838267945294415643297795865098418412440981795785238978100353069859150284007598676207<181>
prime factors 素因数
2141731664373514704800209804190966929619<40>
3982936487128283963654011022855118528252029474284443258175563324282085584199674797758328510237897814911957350790362026615847538823628063665653<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2276662570
Step 1 took 63985ms
********** Factor found in step 1: 2141731664373514704800209804190966929619
Found probable prime factor of 40 digits: 2141731664373514704800209804190966929619
Probable prime cofactor 3982936487128283963654011022855118528252029474284443258175563324282085584199674797758328510237897814911957350790362026615847538823628063665653 has 142 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
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10193-719

c114

name 名前Jo Yeong Uk
date 日付November 11, 2009 04:33:36 UTC 2009 年 11 月 11 日 (水) 13 時 33 分 36 秒 (日本時間)
composite number 合成数
476584546263894187249410686004100765778612480514835230007919231006638024959787696980937702139804608084591272660451<114>
prime factors 素因数
2525698696521822456119491163260313393<37>
256813952710105392622923287549523616069<39>
734750347974042448663022462026007717303<39>
factorization results 素因数分解の結果
Number: 68881_193
N=476584546263894187249410686004100765778612480514835230007919231006638024959787696980937702139804608084591272660451
  ( 114 digits)
Divisors found:
 r1=2525698696521822456119491163260313393
 r2=256813952710105392622923287549523616069
 r3=734750347974042448663022462026007717303
Version: 
Total time: 15.21 hours.
Scaled time: 36.34 units (timescale=2.389).
Factorization parameters were as follows:
name: 68881_193
n: 476584546263894187249410686004100765778612480514835230007919231006638024959787696980937702139804608084591272660451
skew: 81967.32
# norm 9.82e+15
c5: 8820
c4: 2345585976
c3: -323570539152345
c2: -15362443811670735002
c1: 597776664594248966729850
c0: 21149383241086351023669060501
# alpha -6.44
Y1: 162832733239
Y0: -8841660780460233148288
# Murphy_E 6.11e-10
# M 113143934203780989554909325109184190545377095444258272813552631118687650210735975240448943877806470142275656860495
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9462558
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 455180 x 455428
Polynomial selection time: 1.15 hours.
Total sieving time: 12.32 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 15.21 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)

62×10194-719

c161

composite cofactor 合成数の残り
26727307665467187467996775278227782465700163911349478462279349652609456807005013403892784603006448669651160605979418734715072715969667844413384580367875439138493<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 12, 2009 12:48:46 UTC 2009 年 11 月 12 日 (木) 21 時 48 分 46 秒 (日本時間)
4511e60--
5043e61140yoyo@homeFebruary 6, 2010 21:30:06 UTC 2010 年 2 月 7 日 (日) 6 時 30 分 6 秒 (日本時間)
5511e72635 / 17344yoyo@homeOctober 25, 2010 06:16:18 UTC 2010 年 10 月 25 日 (月) 15 時 16 分 18 秒 (日本時間)

62×10196-719

c183

name 名前[XTBA>TSA] IvanleFou
date 日付October 28, 2010 02:14:50 UTC 2010 年 10 月 28 日 (木) 11 時 14 分 50 秒 (日本時間)
composite number 合成数
147856442071426803802551432478419792275528733592098709261269708264179306471313431253771682783345042499432318579843236480041245643398735119012330838396991521955770582240605142189985307<183>
prime factors 素因数
74862900330256809302984265634712953854453354383<47>
1975029572981541441096084381771377486611179774371505536865352274575385261857521870089720001423945023595969763166357120772787160384885429<136>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 147856442071426803802551432478419792275528733592098709261269708264179306471313431253771682783345042499432318579843236480041245643398735119012330838396991521955770582240605142189985307 (183 digits)
[Tue Oct 26 06:54:42 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1228954155
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 556828ms
Using 22 small primes for NTT
Estimated memory usage: 515M
Initializing tables of differences for F took 360ms
Computing roots of F took 29046ms
Building F from its roots took 19766ms
Computing 1/F took 8750ms
Initializing table of differences for G took 313ms
Computing roots of G took 24843ms
Building G from its roots took 16891ms
Computing roots of G took 24110ms
Building G from its roots took 17047ms
Computing G * H took 4984ms
Reducing  G * H mod F took 4719ms
Computing roots of G took 24625ms
Building G from its roots took 17015ms
Computing G * H took 4985ms
Reducing  G * H mod F took 4687ms
Computing roots of G took 24563ms
Building G from its roots took 16922ms
Computing G * H took 5046ms
Reducing  G * H mod F took 4672ms
Computing polyeval(F,G) took 32766ms
Computing product of all F(g_i) took 156ms
Step 2 took 288110ms
********** Factor found in step 2: 74862900330256809302984265634712953854453354383
Found probable prime factor of 47 digits: 74862900330256809302984265634712953854453354383
Probable prime cofactor 1975029572981541441096084381771377486611179774371505536865352274575385261857521870089720001423945023595969763166357120772787160384885429 has 136 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 13, 2009 13:19:08 UTC 2009 年 11 月 13 日 (金) 22 時 19 分 8 秒 (日本時間)
4511e60--
5043e61140 / 3427yoyo@homeFebruary 6, 2010 23:00:10 UTC 2010 年 2 月 7 日 (日) 8 時 0 分 10 秒 (日本時間)
5511e71675 / 17344yoyo@homeOctober 25, 2010 17:01:42 UTC 2010 年 10 月 26 日 (火) 2 時 1 分 42 秒 (日本時間)

62×10197-719

c164

composite cofactor 合成数の残り
43927125138539546950224284279318641089880043149108833794563356267357078032986894855055741298754469919405354816220787134482662529155273190421472596781303829911393563<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiNovember 12, 2009 12:49:17 UTC 2009 年 11 月 12 日 (木) 21 時 49 分 17 秒 (日本時間)
4511e60--
5043e61140yoyo@homeFebruary 7, 2010 00:30:10 UTC 2010 年 2 月 7 日 (日) 9 時 30 分 10 秒 (日本時間)
5511e72635 / 17344yoyo@homeNovember 3, 2010 19:45:12 UTC 2010 年 11 月 4 日 (木) 4 時 45 分 12 秒 (日本時間)

62×10198-719

c167

name 名前Serge Batalov
date 日付November 10, 2009 06:53:20 UTC 2009 年 11 月 10 日 (火) 15 時 53 分 20 秒 (日本時間)
composite number 合成数
13547673410973544128717994923540319975224909118835315606878128611982869889662972783213803646332466124745548643236945575143727949907307294302702246720080422216404737803<167>
prime factors 素因数
20703814083710017434203941181<29>
composite cofactor 合成数の残り
654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463<138>
factorization results 素因数分解の結果
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4244008742
Step 1 took 7041ms
Step 2 took 3980ms
********** Factor found in step 2: 20703814083710017434203941181
Found probable prime factor of 29 digits: 20703814083710017434203941181
Composite cofactor has 138 digits

c138

name 名前Erik Branger
date 日付October 12, 2012 05:18:14 UTC 2012 年 10 月 12 日 (金) 14 時 18 分 14 秒 (日本時間)
composite number 合成数
654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463<138>
prime factors 素因数
16900578113931000024918143669876033444801688781242269629<56>
38717989607204225415386743567202407338354829378103862120924151748395220176056364147<83>
factorization results 素因数分解の結果
Number: 68881_198
N = 654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463 (138 digits)
Divisors found:
r1=16900578113931000024918143669876033444801688781242269629 (pp56)
r2=38717989607204225415386743567202407338354829378103862120924151748395220176056364147 (pp83)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 310.78 hours.
Factorization parameters were as follows:
# Murphy_E = 2.838211e-11, selected by Markus Tervooren
n: 654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463
Y0: -433307546274775002136969564
Y1: 2488479770728957
c0: -1735199337251922139841021402587845
c1: 3729747577788843287610078178
c2: 60578165062487897587079
c3: -51383966718430748
c4: -281089682304
c5: 42840
skew: 513306.03
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8000000, 21100000)
Relations: 23142258
Relations in full relation-set: 4003864 relations
Pruned matrix : 2451378 x 2451605
Polynomial selection time: 0.00 hours.
Total sieving time: 305.35 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 5.11 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 310.78 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
351e6118Makoto KamadaNovember 9, 2009 15:00:00 UTC 2009 年 11 月 10 日 (火) 0 時 0 分 0 秒 (日本時間)
403e61804Wataru SakaiNovember 25, 2009 14:34:43 UTC 2009 年 11 月 25 日 (水) 23 時 34 分 43 秒 (日本時間)
4511e64076149Dmitry DomanovNovember 20, 2009 22:20:40 UTC 2009 年 11 月 21 日 (土) 7 時 20 分 40 秒 (日本時間)
64Markus TervoorenJanuary 3, 2010 16:03:18 UTC 2010 年 1 月 4 日 (月) 1 時 3 分 18 秒 (日本時間)
3863Wataru SakaiJuly 10, 2010 08:09:35 UTC 2010 年 7 月 10 日 (土) 17 時 9 分 35 秒 (日本時間)

62×10201-719

c173

composite cofactor 合成数の残り
24141643278958726506803591272853749517327230447527952427284279444531028596987588542238207335956298384765401192242945096595306452844859940381314079033568822171241507547722949<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:50:26 UTC 2013 年 2 月 24 日 (日) 2 時 50 分 26 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 25, 2013 15:45:11 UTC 2013 年 2 月 26 日 (火) 0 時 45 分 11 秒 (日本時間)

62×10202-719

c171

composite cofactor 合成数の残り
540160083217793203374857885895913138691184815505235071159700274602724948721497695502279618992980858512885782525126831470213642277710788680583931314879376340680607240042159<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:50:54 UTC 2013 年 2 月 24 日 (日) 2 時 50 分 54 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 25, 2013 15:45:25 UTC 2013 年 2 月 26 日 (火) 0 時 45 分 25 秒 (日本時間)

62×10203-719

c201

name 名前Warut Roonguthai
date 日付February 19, 2013 16:31:42 UTC 2013 年 2 月 20 日 (水) 1 時 31 分 42 秒 (日本時間)
composite number 合成数
134364909086968770994517044838870467893288256073510608326290011486032550982814294692586091064733545716576728864616518215113885096330971111544546301714236178835359642849402943024944195219209847647530503<201>
prime factors 素因数
12749606068878043517129333058289<32>
composite cofactor 合成数の残り
10538749853217448444168804878256490290055574610219309817714191073802302461839100567683874593968220111445276565477169345828410775541352950887483791075931158166627579230327<170>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2171679405
Step 1 took 11591ms
Step 2 took 6645ms
********** Factor found in step 2: 12749606068878043517129333058289
Found probable prime factor of 32 digits: 12749606068878043517129333058289
Composite cofactor 10538749853217448444168804878256490290055574610219309817714191073802302461839100567683874593968220111445276565477169345828410775541352950887483791075931158166627579230327 has 170 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:51:11 UTC 2013 年 2 月 24 日 (日) 2 時 51 分 11 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 25, 2013 15:45:41 UTC 2013 年 2 月 26 日 (火) 0 時 45 分 41 秒 (日本時間)

62×10204-719

c185

composite cofactor 合成数の残り
81695976852657046322197753010944365436166146213422008865469679518430262566331505351587648862213510585608617140910416191343250216634558794480922128183128013334658022425683908350409901239<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:51:26 UTC 2013 年 2 月 24 日 (日) 2 時 51 分 26 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 26, 2013 15:45:05 UTC 2013 年 2 月 27 日 (水) 0 時 45 分 5 秒 (日本時間)

62×10205-719

c203

name 名前Warut Roonguthai
date 日付February 19, 2013 16:33:24 UTC 2013 年 2 月 20 日 (水) 1 時 33 分 24 秒 (日本時間)
composite number 合成数
21738368219908137863328775288383997756039409557869639914449002489393780021738368219908137863328775288383997756039409557869639914449002489393780021738368219908137863328775288383997756039409557869639914449<203>
prime factors 素因数
1992044589428445458309513850536347<34>
composite cofactor 合成数の残り
10912591181578560405001551748269163655586135754440533142020995560373078762913135822691282148543162231564853201508049592787427632968401896058648082115925417997279147793667<170>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=407351714
Step 1 took 12200ms
Step 2 took 7332ms
********** Factor found in step 2: 1992044589428445458309513850536347
Found probable prime factor of 34 digits: 1992044589428445458309513850536347
Composite cofactor 10912591181578560405001551748269163655586135754440533142020995560373078762913135822691282148543162231564853201508049592787427632968401896058648082115925417997279147793667 has 170 digits
software ソフトウェア
GMP-ECM 6.3

c170

name 名前Dmitry Domanov
date 日付February 26, 2013 09:38:17 UTC 2013 年 2 月 26 日 (火) 18 時 38 分 17 秒 (日本時間)
composite number 合成数
10912591181578560405001551748269163655586135754440533142020995560373078762913135822691282148543162231564853201508049592787427632968401896058648082115925417997279147793667<170>
prime factors 素因数
17622697603075392979514080545066094414619<41>
composite cofactor 合成数の残り
619235001778284468086385736608983120283475236815663168517515239722278955114199569709346763968146533211521640180487096816505383993<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3515550340
Step 1 took 82493ms
Step 2 took 27505ms
********** Factor found in step 2: 17622697603075392979514080545066094414619
Found probable prime factor of 41 digits: 17622697603075392979514080545066094414619

c129

name 名前Warut Roonguthai
date 日付February 28, 2013 13:01:32 UTC 2013 年 2 月 28 日 (木) 22 時 1 分 32 秒 (日本時間)
composite number 合成数
619235001778284468086385736608983120283475236815663168517515239722278955114199569709346763968146533211521640180487096816505383993<129>
prime factors 素因数
2174079574068111325447407957179933198499303794427222439<55>
284826281965190190641789031353167424011408274358984232531531005767925696287<75>
factorization results 素因数分解の結果
N = 619235001778284468086385736608983120283475236815663168517515239722278955114199569709346763968146533211521640180487096816505383993 (129 digits)
Divisors found:
r1=2174079574068111325447407957179933198499303794427222439 (pp55)
r2=284826281965190190641789031353167424011408274358984232531531005767925696287 (pp75)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 22.85 hours.
Factorization parameters were as follows:
n: 619235001778284468086385736608983120283475236815663168517515239722278955114199569709346763968146533211521640180487096816505383993
Y0: -9664601482423457716495387
Y1: 108652781695573
c0: 3100016687184878555613259423026400
c1: 19278990942113166835213362540
c2: -5593732744379944988208
c3: -27250380042486731
c4: 4625318262
c5: 7344
skew: 1209322.37
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19541840
Relations: 2404014 relations
Pruned matrix : 1339075 x 1339307
Polynomial selection time: 0.00 hours.
Total sieving time: 21.30 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.37 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 22.85 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:51:37 UTC 2013 年 2 月 24 日 (日) 2 時 51 分 37 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 25, 2013 15:45:55 UTC 2013 年 2 月 26 日 (火) 0 時 45 分 55 秒 (日本時間)

62×10206-719

c177

composite cofactor 合成数の残り
160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:51:54 UTC 2013 年 2 月 24 日 (日) 2 時 51 分 54 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 25, 2013 15:46:10 UTC 2013 年 2 月 26 日 (火) 0 時 46 分 10 秒 (日本時間)

62×10207-719

c158

name 名前Dmitry Domanov
date 日付February 20, 2013 08:36:02 UTC 2013 年 2 月 20 日 (水) 17 時 36 分 2 秒 (日本時間)
composite number 合成数
34466704760897169438147574311347918034509970107097289137054433752613619046158325587866330069831856204554107533133049000240825340617318458907866164951186156653<158>
prime factors 素因数
10640565800096291414314301125552572229<38>
3239179702322339310508542633047230279721234221745997829051763053106459059547562259277255407397216828207280123628199112457<121>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3867452716
Step 1 took 19408ms
Step 2 took 7922ms
********** Factor found in step 2: 10640565800096291414314301125552572229
Found probable prime factor of 38 digits: 10640565800096291414314301125552572229

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)

62×10210-719

c111

name 名前Warut Roonguthai
date 日付February 20, 2013 18:57:24 UTC 2013 年 2 月 21 日 (木) 3 時 57 分 24 秒 (日本時間)
composite number 合成数
410188151507084454652065058080435109464766027213667564372433373714473969619571489444386832437727580728283247933<111>
prime factors 素因数
214813308779060274054194028539031756767<39>
1909509954660076767987642727295714385873579054723799981187632889902784099<73>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2150399330
Step 1 took 10405ms
Step 2 took 6958ms
********** Factor found in step 2: 214813308779060274054194028539031756767
Found probable prime factor of 39 digits: 214813308779060274054194028539031756767
Probable prime cofactor 1909509954660076767987642727295714385873579054723799981187632889902784099 has 73 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)

62×10212-719

c200

composite cofactor 合成数の残り
10437930121632175536985956765712827714231109889676212968082477420150738008700824221386677607016135898466983166278717301681575013564353589555816000274331961673120115777615777403380546765253003250537217<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:52:10 UTC 2013 年 2 月 24 日 (日) 2 時 52 分 10 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 26, 2013 15:45:41 UTC 2013 年 2 月 27 日 (水) 0 時 45 分 41 秒 (日本時間)

62×10213-719

c164

composite cofactor 合成数の残り
17686710895047485929046891390860068037693692012782003636736425731361744879427238296610781064221718216315207174924181678716049073480021118967138066806528845095653649<164>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:52:20 UTC 2013 年 2 月 24 日 (日) 2 時 52 分 20 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 25, 2013 15:46:46 UTC 2013 年 2 月 26 日 (火) 0 時 46 分 46 秒 (日本時間)

62×10215-719

c189

composite cofactor 合成数の残り
422739656742737412391799396765103777737989370581630255750819604125405048108792430286376577707759914743271228882679484184545047409764430953176492512326856054217117683606388155564411539821253<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:52:31 UTC 2013 年 2 月 24 日 (日) 2 時 52 分 31 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 26, 2013 15:45:57 UTC 2013 年 2 月 27 日 (水) 0 時 45 分 57 秒 (日本時間)

62×10216-719

c194

name 名前Dmitry Domanov
date 日付February 27, 2013 10:32:18 UTC 2013 年 2 月 27 日 (水) 19 時 32 分 18 秒 (日本時間)
composite number 合成数
13505696484134057610315687207396542172043998043380708554474765631029161679841683502077558048268168373817982123310414677586210166336973376795652016735045670607677150240935250014724943836601539273<194>
prime factors 素因数
1939228343812655345117742587173636027755281<43>
composite cofactor 合成数の残り
6964469412395724414400887219282737626566096536914345017855771078382532118955354745772117936678678317022004114419569353913029298176668228168002524415033<151>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1997033951
Step 1 took 85092ms
Step 2 took 32005ms
********** Factor found in step 2: 1939228343812655345117742587173636027755281
Found probable prime factor of 43 digits: 1939228343812655345117742587173636027755281

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:52:42 UTC 2013 年 2 月 24 日 (日) 2 時 52 分 42 秒 (日本時間)
4511e643221000Dmitry DomanovFebruary 26, 2013 15:46:09 UTC 2013 年 2 月 27 日 (水) 0 時 46 分 9 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:16 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 16 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:15 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 15 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:18 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 18 秒 (日本時間)
1172Ignacio SantosJanuary 9, 2016 20:47:09 UTC 2016 年 1 月 10 日 (日) 5 時 47 分 9 秒 (日本時間)

62×10217-719

c154

composite cofactor 合成数の残り
7404545322838073997366071595491751107063348234082632542422328295853336307190140723419867715240319969483048165162107049579826616478823173370983824414233697<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:52:54 UTC 2013 年 2 月 24 日 (日) 2 時 52 分 54 秒 (日本時間)
4511e62000 / 42541000Dmitry DomanovFebruary 25, 2013 15:47:00 UTC 2013 年 2 月 26 日 (火) 0 時 47 分 0 秒 (日本時間)
1000Dmitry DomanovJuly 23, 2014 07:26:09 UTC 2014 年 7 月 23 日 (水) 16 時 26 分 9 秒 (日本時間)

62×10219-719

c198

composite cofactor 合成数の残り
392395871506483512129693196365227242695752911986424503861348723109387946982421596666191509176793767123167419365983535148310336189619545278105022418765473741691286781197448455862332766377306853343623<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:53:06 UTC 2013 年 2 月 24 日 (日) 2 時 53 分 6 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 27, 2013 16:42:08 UTC 2013 年 2 月 28 日 (木) 1 時 42 分 8 秒 (日本時間)

62×10220-719

c206

composite cofactor 合成数の残り
15777490714860984196083465370057944788458958361214134909993610137375684673658022838810604261528217321053640221985816673703789766987228684661724734370961197371101779317563365150826541286160399687821272545053<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:53:20 UTC 2013 年 2 月 24 日 (日) 2 時 53 分 20 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 27, 2013 16:45:55 UTC 2013 年 2 月 28 日 (木) 1 時 45 分 55 秒 (日本時間)

62×10221-719

c197

composite cofactor 合成数の残り
14359193376754265923457367271621617606995509438076069391701000873676775282035223908392533972194526333907249379551720329775654718712011659335108468677216887002200611826249280999593222076700654493407<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:53:31 UTC 2013 年 2 月 24 日 (日) 2 時 53 分 31 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 26, 2013 16:05:47 UTC 2013 年 2 月 27 日 (水) 1 時 5 分 47 秒 (日本時間)

62×10222-719

c190

composite cofactor 合成数の残り
3578394072012340506221332650024186807895987416976045895052826285148586194341375013977357655272086413459321378315798530018280141892684773491257632423500250523452320448902427202804171032096851<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:53:41 UTC 2013 年 2 月 24 日 (日) 2 時 53 分 41 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 26, 2013 16:05:35 UTC 2013 年 2 月 27 日 (水) 1 時 5 分 35 秒 (日本時間)

62×10225-719

c173

composite cofactor 合成数の残り
58540122606642614937715836888536765270020849385030558497833722077034504413515885955054740237857568048932137480387797056022505887035525969875122782057145124099283360955346379<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:54:13 UTC 2013 年 2 月 24 日 (日) 2 時 54 分 13 秒 (日本時間)
4511e62000 / 42541000Dmitry DomanovFebruary 25, 2013 15:47:17 UTC 2013 年 2 月 26 日 (火) 0 時 47 分 17 秒 (日本時間)
1000Dmitry DomanovJuly 23, 2014 07:26:24 UTC 2014 年 7 月 23 日 (水) 16 時 26 分 24 秒 (日本時間)

62×10226-719

c225

name 名前matsui
date 日付October 7, 2013 07:32:33 UTC 2013 年 10 月 7 日 (月) 16 時 32 分 33 秒 (日本時間)
composite number 合成数
542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503<225>
prime factors 素因数
4132446890870384445422483561176857756509865349<46>
131261746442252493107033918767617521538819210850204883405746312700419189380631395455009181260738159796820497492370557851125919420473344643364920796367780933113677788142786300010947<180>
factorization results 素因数分解の結果
N=542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503
  ( 225 digits)
SNFS difficulty: 229 digits.
Divisors found:
 r1=4132446890870384445422483561176857756509865349 (pp46)
 r2=131261746442252493107033918767617521538819210850204883405746312700419189380631395455009181260738159796820497492370557851125919420473344643364920796367780933113677788142786300010947 (pp180)
Version: Msieve v. 1.52 (SVN unknown)
Total time:
Scaled time: 182.91 units (timescale=1.818).
Factorization parameters were as follows:
n: 542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503
m: 100000000000000000000000000000000000000
deg: 6
c6: 31
c0: -3550
skew: 2.20
# Murphy_E = 8.501e-13
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [23500000, 58800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6843112 x 6843337
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,229.000,6,0,0,0,0,0,0,0,0,47000000,47000000,30,30,59,59,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e62280640Lionel DebrouxFebruary 23, 2013 16:42:35 UTC 2013 年 2 月 24 日 (日) 1 時 42 分 35 秒 (日本時間)
640Lionel DebrouxFebruary 23, 2013 16:42:42 UTC 2013 年 2 月 24 日 (日) 1 時 42 分 42 秒 (日本時間)
1000Dmitry DomanovFebruary 23, 2013 17:54:25 UTC 2013 年 2 月 24 日 (日) 2 時 54 分 25 秒 (日本時間)
4511e61000 / 3971Dmitry DomanovFebruary 27, 2013 16:46:23 UTC 2013 年 2 月 28 日 (木) 1 時 46 分 23 秒 (日本時間)

62×10227-719

c215

name 名前Dmitry Domanov
date 日付February 28, 2013 10:16:14 UTC 2013 年 2 月 28 日 (木) 19 時 16 分 14 秒 (日本時間)
composite number 合成数
93339014149226152013207118502145778385816239773643438308791156793748810530460873977374364048795939658951123714802762531589162736468710051738327091748958008278359987324946995909655451769203361355072945475811796453019<215>
prime factors 素因数
12735217188964283016813664528724022356926063<44>
composite cofactor 合成数の残り
7329204737089932098178916255554671513226825564469135447057359801496258664264686556023255610951505337253924383519419174567204001712785874730864518921706706164989800190603413<172>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2390026345
Step 1 took 138359ms
Step 2 took 38922ms
********** Factor found in step 2: 12735217188964283016813664528724022356926063
Found probable prime factor of 44 digits: 12735217188964283016813664528724022356926063

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:54:36 UTC 2013 年 2 月 24 日 (日) 2 時 54 分 36 秒 (日本時間)
4511e62000 / 42541000Dmitry DomanovFebruary 27, 2013 16:46:42 UTC 2013 年 2 月 28 日 (木) 1 時 46 分 42 秒 (日本時間)
1000Dmitry DomanovJuly 23, 2014 07:26:41 UTC 2014 年 7 月 23 日 (水) 16 時 26 分 41 秒 (日本時間)

62×10228-719

c210

composite cofactor 合成数の残り
329145240381803193536403750772060742196727082680286790021706999368589853038272897639444850908119715572871154334173198264121732967922206788316090006259064277799305254749347158255935675961711042126740978775960263<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:54:49 UTC 2013 年 2 月 24 日 (日) 2 時 54 分 49 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 27, 2013 16:47:04 UTC 2013 年 2 月 28 日 (木) 1 時 47 分 4 秒 (日本時間)

62×10229-719

c178

composite cofactor 合成数の残り
1101013718410602893496201192225800832260675914908277481461799712684860598098783487133692574963741961557230226033383213959426888646414786221764121208651657713440533139189901143109<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:55:02 UTC 2013 年 2 月 24 日 (日) 2 時 55 分 2 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 26, 2013 16:06:08 UTC 2013 年 2 月 27 日 (水) 1 時 6 分 8 秒 (日本時間)

62×10230-719

c161

composite cofactor 合成数の残り
21479148369021395180833985778170623004150923036090390691767344233916420928159107766891197846872527209932343017250480136688538387288645957359579607394516512396209<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e63300Warut RoonguthaiFebruary 21, 2013 08:34:51 UTC 2013 年 2 月 21 日 (木) 17 時 34 分 51 秒 (日本時間)
4511e622501000Dmitry DomanovFebruary 25, 2013 15:47:37 UTC 2013 年 2 月 26 日 (火) 0 時 47 分 37 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:49 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 49 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:33 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 33 秒 (日本時間)
5043e6800 / 6923Erik BrangerFebruary 3, 2014 07:46:16 UTC 2014 年 2 月 3 日 (月) 16 時 46 分 16 秒 (日本時間)

62×10231-719

c154

name 名前Dmitry Domanov
date 日付February 26, 2013 09:41:34 UTC 2013 年 2 月 26 日 (火) 18 時 41 分 34 秒 (日本時間)
composite number 合成数
6628045608545609989308621297593491425112434574435629146907901523867568288528349790984432240783874436796837890675735848393755093987584851615261331263727553<154>
prime factors 素因数
18200774584818771535605008140312765352489419<44>
364162831513448286577608624339866208516199567631140230169588578311836810441167844434389764278775780014790109987<111>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2857725091
Step 1 took 81919ms
Step 2 took 28771ms
********** Factor found in step 2: 18200774584818771535605008140312765352489419
Found probable prime factor of 44 digits: 18200774584818771535605008140312765352489419

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e63200Warut RoonguthaiFebruary 21, 2013 01:24:04 UTC 2013 年 2 月 21 日 (木) 10 時 24 分 4 秒 (日本時間)
4511e61000 / 3768Dmitry DomanovFebruary 25, 2013 15:47:50 UTC 2013 年 2 月 26 日 (火) 0 時 47 分 50 秒 (日本時間)

62×10234-719

c218

name 名前Dmitry Domanov
date 日付February 22, 2013 08:09:52 UTC 2013 年 2 月 22 日 (金) 17 時 9 分 52 秒 (日本時間)
composite number 合成数
80792198754334822250817102127285760043075454574599627014384931575094097311811490702643160392132876162192921656937524072411851531042851475407803443170110209522475015076654461741704970332621453423289762446754949063923949<218>
prime factors 素因数
7103954688146604593904834291285239<34>
11372848265648666036267710560839523029738438069761698447175815647809120368270923867407237870250073603899243602327208957857948761722097618776960397217761531413016538452174798358523384891<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1723792813
Step 1 took 30845ms
********** Factor found in step 1: 7103954688146604593904834291285239
Found probable prime factor of 34 digits: 7103954688146604593904834291285239

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)

62×10236-719

c209

name 名前Warut Roonguthai
date 日付February 19, 2013 20:01:54 UTC 2013 年 2 月 20 日 (水) 5 時 1 分 54 秒 (日本時間)
composite number 合成数
30961143764256740180605271371551115850128009728348285498827269273217107839637921669803834967146680006344888634787744712965616413278220155576624298958764696954513969420890062218091400624878100408587202520785909<209>
prime factors 素因数
635150133085244330853190802398693<33>
composite cofactor 合成数の残り
48746181652931189016932892288888971360849644072165606504729631555569621099151872895225618110264624775786278275747218008121066671333753057851138539294402599051570461163607215313<176>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=325253781
Step 1 took 12074ms
Step 2 took 7270ms
********** Factor found in step 2: 635150133085244330853190802398693
Found probable prime factor of 33 digits: 635150133085244330853190802398693
Composite cofactor 48746181652931189016932892288888971360849644072165606504729631555569621099151872895225618110264624775786278275747218008121066671333753057851138539294402599051570461163607215313 has 176 digits
software ソフトウェア
GMP-ECM 6.3

c176

name 名前Dmitry Domanov
date 日付July 24, 2014 05:10:25 UTC 2014 年 7 月 24 日 (木) 14 時 10 分 25 秒 (日本時間)
composite number 合成数
48746181652931189016932892288888971360849644072165606504729631555569621099151872895225618110264624775786278275747218008121066671333753057851138539294402599051570461163607215313<176>
prime factors 素因数
162098638894115104493687372361805115260979<42>
300719253323112822259951546406622362982153539649612701231967466091413455996314076105956606369421175769420373070717634734029888860416747<135>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2211311569
Step 1 took 94479ms
Step 2 took 28736ms
********** Factor found in step 2: 162098638894115104493687372361805115260979
Found probable prime factor of 42 digits: 162098638894115104493687372361805115260979

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:55:34 UTC 2013 年 2 月 24 日 (日) 2 時 55 分 34 秒 (日本時間)
4511e62000 / 42541000Dmitry DomanovFebruary 26, 2013 16:06:37 UTC 2013 年 2 月 27 日 (水) 1 時 6 分 37 秒 (日本時間)
1000Dmitry DomanovJuly 23, 2014 07:27:17 UTC 2014 年 7 月 23 日 (水) 16 時 27 分 17 秒 (日本時間)

62×10239-719

c225

name 名前Dmitry Domanov
date 日付February 20, 2013 09:32:00 UTC 2013 年 2 月 20 日 (水) 18 時 32 分 0 秒 (日本時間)
composite number 合成数
102938413633937859631344852742506149420018168413558595584661121922301143577016960942096464253459260165258982119720783599639564260304087659791442074983043450986177871570147782168758776461079812807313059698328983019330561033777<225>
prime factors 素因数
36183212103481642017665972475867748403<38>
2844921930632931836935334940961226225232856648833870563127834296982279150488145606224932365177333458739560373623526083983045219569092441525321479971450360034251268205259827767787261826059<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1147332056
Step 1 took 30578ms
Step 2 took 11402ms
********** Factor found in step 2: 36183212103481642017665972475867748403
Found probable prime factor of 38 digits: 36183212103481642017665972475867748403

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)

62×10240-719

c240

composite cofactor 合成数の残り
299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e620001000Dmitry DomanovFebruary 23, 2013 17:55:49 UTC 2013 年 2 月 24 日 (日) 2 時 55 分 49 秒 (日本時間)
1000Dmitry DomanovFebruary 23, 2013 17:55:52 UTC 2013 年 2 月 24 日 (日) 2 時 55 分 52 秒 (日本時間)
4511e6600Dmitry DomanovMarch 6, 2013 16:02:29 UTC 2013 年 3 月 7 日 (木) 1 時 2 分 29 秒 (日本時間)
5043e61000 / 5956500Dmitry DomanovMarch 7, 2013 16:00:41 UTC 2013 年 3 月 8 日 (金) 1 時 0 分 41 秒 (日本時間)
500Dmitry DomanovMarch 15, 2013 10:58:07 UTC 2013 年 3 月 15 日 (金) 19 時 58 分 7 秒 (日本時間)
5511e7575 / 17359yoyo@homeOctober 1, 2013 16:30:36 UTC 2013 年 10 月 2 日 (水) 1 時 30 分 36 秒 (日本時間)

62×10241-719

c216

composite cofactor 合成数の残り
434352891817256102040684173944425198736483029116283088889034087068188605323950650559269996594948672326101992456804893217704337856477114335993064556361887962540338140293196762890783957653202978317656538899108765059379<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:57:02 UTC 2013 年 2 月 24 日 (日) 2 時 57 分 2 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMarch 29, 2013 14:55:25 UTC 2013 年 3 月 29 日 (金) 23 時 55 分 25 秒 (日本時間)

62×10243-719

c204

composite cofactor 合成数の残り
367039618657309095786231397373206029983856071773592954372373201574206174127951749268979682486588905028402717696510627897673501826304019121485108250933595906697223060303343361271768326546868677057671439207<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:57:12 UTC 2013 年 2 月 24 日 (日) 2 時 57 分 12 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 27, 2013 16:41:39 UTC 2013 年 2 月 28 日 (木) 1 時 41 分 39 秒 (日本時間)

62×10244-719

c228

composite cofactor 合成数の残り
108272699075112418829508082577769063904835277608997440523068798084338158454346875613497168271066733281513103646414196490465131440830305241924802003692862752812818291580446938989981115222505211563594467086192804184789281887444343<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:57:24 UTC 2013 年 2 月 24 日 (日) 2 時 57 分 24 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMarch 29, 2013 14:55:46 UTC 2013 年 3 月 29 日 (金) 23 時 55 分 46 秒 (日本時間)

62×10245-719

c228

composite cofactor 合成数の残り
190719746911103341718119055428332197080957141489795502342052569704359842071817327867131485843208465312293426584477597555358941112904560120363329040338562553839771408731896432206116940153605915595897223934870582632975286784285263<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:57:35 UTC 2013 年 2 月 24 日 (日) 2 時 57 分 35 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMarch 29, 2013 14:55:57 UTC 2013 年 3 月 29 日 (金) 23 時 55 分 57 秒 (日本時間)

62×10247-719

c227

name 名前Warut Roonguthai
date 日付February 19, 2013 16:27:59 UTC 2013 年 2 月 20 日 (水) 1 時 27 分 59 秒 (日本時間)
composite number 合成数
33322862763632275949257835283012391662217790747139359056228097448117374087625428134541030312314031216812781484280055747411177469140585845178762987267518375000647277583428266863057335820013833298810195181533439412418331763401187<227>
prime factors 素因数
31550158007560369868002189924573<32>
composite cofactor 合成数の残り
1056186874108431169544983893089955557606731847317338902240649028715809016283467527183899609644999926486717888891793569619254933552218907761541871196155290139089493104882633959060026567558437149119<196>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3849188114
Step 1 took 11170ms
Step 2 took 6708ms
********** Factor found in step 2: 31550158007560369868002189924573
Found probable prime factor of 32 digits: 31550158007560369868002189924573
Composite cofactor 1056186874108431169544983893089955557606731847317338902240649028715809016283467527183899609644999926486717888891793569619254933552218907761541871196155290139089493104882633959060026567558437149119 has 196 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:57:50 UTC 2013 年 2 月 24 日 (日) 2 時 57 分 50 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 27, 2013 16:41:21 UTC 2013 年 2 月 28 日 (木) 1 時 41 分 21 秒 (日本時間)

62×10249-719

c217

composite cofactor 合成数の残り
1408630120408557035076776421704645919870323921968842510715895334223144201597929087353520526429279348072315689196717157680671609233808840335930937332144961071144408105338347134182150963722354990097746015323564277468497<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:58:04 UTC 2013 年 2 月 24 日 (日) 2 時 58 分 4 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovFebruary 27, 2013 16:41:03 UTC 2013 年 2 月 28 日 (木) 1 時 41 分 3 秒 (日本時間)

62×10250-719

c171

composite cofactor 合成数の残り
916246091134173625215409152246702773120136806981425971565472046432716188161182483683612920605855072938123783648738517568615938335844521618682608606219777144508627680778431<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 19, 2013 14:00:00 UTC 2013 年 2 月 19 日 (火) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 23, 2013 17:58:17 UTC 2013 年 2 月 24 日 (日) 2 時 58 分 17 秒 (日本時間)
4511e61000Dmitry DomanovFebruary 25, 2013 15:48:17 UTC 2013 年 2 月 26 日 (火) 0 時 48 分 17 秒 (日本時間)
5043e6928 / 7291Dmitry DomanovMarch 22, 2013 06:46:08 UTC 2013 年 3 月 22 日 (金) 15 時 46 分 8 秒 (日本時間)