Bases 501-1030 reservations/statuses/primes - Page 43

rogue · 2010-05-05, 00:43

Quote:

Originally Posted by gd_barnes

Please state your exact search depth. If you'd like for the sieve file to possibly be used in the future, I'll need to post it on the pages. Otherwise I virtually guarantee that it will be forgotten. Please post it here with k's removed that already have primes and with its actual sieve depth in the file. The latter is frequently needed to see if it has been sieved to an optimum depth, which can vary widely with future software and hardware improvements.

Edit: k=4271 and 5534 already had primes at n=9557 and n=9921 respectively. So there are 29 primed k's for the range and 711 k's remaining at n=~17127.

Gary

Believe it or not, it was tested through n=17127. I have e-mailed you a zipped file of remaining k/n pairs as it is too big to attach.

MyDogBuster · 2010-05-05, 05:40

Riesel Base 1009
Conjectured k = 1314
Covering Set = 5, 101
Trivial Factors k == 1 mod 2(2) and mod 3(3) and k == 1 mod 7(7)

Found Primes: 363k's - File attached

Remaining k's: 9k's - Tested to n=25K
150*1009^n-1
186*1009^n-1
434*1009^n-1
444*1009^n-1
662*1009^n-1
896*1009^n-1
924*1009^n-1
1112*1009^n-1
1292*1009^n-1

k=144, 324 proven composite by partial algebraic factors

Trivial Factor Eliminations: 282k's

Base Released

MyDogBuster · 2010-05-06, 14:51

Riesel Base 954
Conjectured k = 381
Covering Set = 5, 191
Trivial Factors k == 1 mod 953(953)

Found Primes: 352k's - File attached

Remaining k's: 18k's - File attached - Tested to n=25K

k4, 9, 49, 64, 144, 169, 289, 324 proven composite by partial algebraic factors

k106 is a difference of squares

Base Released

kar_bon · 2010-05-07, 17:54

R1019 (k=2) at n=120k, no prime, continuing.

10metreh · 2010-05-08, 08:15

Riesel base 623: conjectured k = 14 (covering set {3, 13}).

Primes:
2*623^2-1
4*623^3-1
6*623^4110-1
8*623^50-1
10*623^1-1
12*623^2-1

The conjecture is proven.

MyDogBuster · 2010-05-10, 15:59

Riesel Base 526
Conjectured k = 900
Covering Set = 17, 31
Trivial Factors k == 1 mod 3(3) and k == 1 mod 5(5) and k == 1 mod 7(7)

Found Primes: 406k's - File attached

Remaining: 4k's - Tested to n=25K
125*526^n-1
273*526^n-1
630*526^n-1
774*526^n-1

Trivial Factor Eliminations: 488k's

Base Released

10metreh · 2010-05-10, 18:37

I've proved all of these CK=10 bases:
S527
S725
S791
S857
S890
S956
Results attached.

gd_barnes · 2010-05-10, 20:29

Weeee. Here we go. Everyone post your gobs of new bases with CK<=200 now.

Have fun Ian. lol

MyDogBuster · 2010-05-10, 21:05

Quote:

Have fun Ian. lol

Not buried yet. Have 2 more HTML's to make and I'm caught up

Mathew · 2010-05-10, 21:39

I would like to reserve R703 as new base $\therefore$ to n=25K.

Edit: Yeaaaa That's a Gary one

mdettweiler · 2010-05-10, 22:36

Reserving R986 as new to n=25K. (I've already tested it to 10K but one k stuck around, and I figured I should at least take it to 25K before giving up on it.)

2010-05-05, 05:40	#464
MyDogBuster May 2008 Wilmington, DE 2²×23×31 Posts	Riesel Base 1009 Riesel Base 1009 Conjectured k = 1314 Covering Set = 5, 101 Trivial Factors k == 1 mod 2(2) and mod 3(3) and k == 1 mod 7(7) Found Primes: 363k's - File attached Remaining k's: 9k's - Tested to n=25K 1501009^n-1 1861009^n-1 4341009^n-1 4441009^n-1 6621009^n-1 8961009^n-1 9241009^n-1 11121009^n-1 12921009^n-1 k=144, 324 proven composite by partial algebraic factors Trivial Factor Eliminations: 282k's Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:15*

2010-05-06, 14:51	#465
MyDogBuster May 2008 Wilmington, DE 2²·23·31 Posts	Riesel Base 954 Riesel Base 954 Conjectured k = 381 Covering Set = 5, 191 Trivial Factors k == 1 mod 953(953) Found Primes: 352k's - File attached Remaining k's: 18k's - File attached - Tested to n=25K k4, 9, 49, 64, 144, 169, 289, 324 proven composite by partial algebraic factors k106 is a difference of squares Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:15

2010-05-08, 08:15	#467
10metreh Nov 2008 2×3³×43 Posts	Riesel base 623: conjectured k = 14 (covering set {3, 13}). Primes: 2623^2-1 4623^3-1 6623^4110-1 8623^50-1 10623^1-1 12623^2-1 The conjecture is proven. Last fiddled with by 10metreh on 2010-05-08 at 08:20

2010-05-10, 15:59	#468
MyDogBuster May 2008 Wilmington, DE 2852₁₀ Posts	Riesel Base 526 Riesel Base 526 Conjectured k = 900 Covering Set = 17, 31 Trivial Factors k == 1 mod 3(3) and k == 1 mod 5(5) and k == 1 mod 7(7) Found Primes: 406k's - File attached Remaining: 4k's - Tested to n=25K 125526^n-1 273526^n-1 630526^n-1 774526^n-1 Trivial Factor Eliminations: 488k's Base Released Last fiddled with by MyDogBuster on 2014-09-02 at 09:15

2010-05-10, 21:39	#472
Mathew Nov 2009 2×5²×7 Posts	R703 I would like to reserve R703 as new base $\therefore$ to n=25K. Edit: Yeaaaa That's a Gary one Last fiddled with by MyDogBuster on 2010-05-10 at 21:49 Reason: Added razz

2010-05-07, 17:54	#466
kar_bon Mar 2006 Germany 2908₁₀ Posts	R1019 (k=2) at n=120k, no prime, continuing.

2010-05-10, 20:29	#470
gd_barnes May 2007 Kansas; USA 10100010101110₂ Posts	Weeee. Here we go. Everyone post your gobs of new bases with CK<=200 now. Have fun Ian. lol

2010-05-10, 22:36	#473
mdettweiler A Sunny Moo Aug 2007 USA (GMT-5) 3·2,083 Posts	Reserving R986 as new to n=25K. (I've already tested it to 10K but one k stuck around, and I figured I should at least take it to 25K before giving up on it.)

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