[QUOTE=gd_barnes;213836]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[/QUOTE]

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.

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
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

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

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

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.

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
125*526^n-1
273*526^n-1
630*526^n-1
774*526^n-1

Trivial Factor Eliminations: 488k's

Base Released

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

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

Have fun Ian. lol

[QUOTE]Have fun Ian. lol [/QUOTE]

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

R703
 

I would like to reserve R703 as new base [tex]\therefore[/tex] to n=25K.

Edit: Yeaaaa That's a Gary one

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.)