Cleaning out my closets and creating work for myself.

R402 CK=92 Primes=87 Remain=1 2 algebraic factors
R480 CK=38 Primes=33 Remain=1 2 algebraic factors

Sierp 395
 

Conjectured k=10

Two primes
[CODE]6*395^1+1
2*395^2625+1[/CODE]

Remaining k=4,8. Tested to n=25k. Base released.

Residues and prime-log attached.

R386
 

R386 is proven, attached are the results.

Riesel 343
 

Riesel Base 343
Conjectured k = 1676
Covering Set = 5, 13, 43
Trivial Factors k == 1 mod 2(2) and k = 1 mod 3(3) and k == 1 mod 19(19)

Found Primes: 519k's - File attached

Remaining: 6k's - Tested to n=25K
314*343^n-1
516*343^n-1
1248*343^n-1
1334*343^n-1
1370*343^n-1
1422*343^n-1

k=8, 216 and 512 proven composite by full algebraic factors

Trivial Factor Eliminations: 308k's

MOB Eliminations:
686

Base Released

I thought it probably wise to post what I am working on currently to save duplication of work.
I am currently working on S273, S286, S290 and S298

Another base proven:
S369, CK=36 (covering set is {5, 37})
Primes:
[code]2*369^1+1
4*369^23+1
6*369^3418+1
8*369^1+1
10*369^1+1
12*369^3+1
14*369^1+1
16*369^4+1
18*369^27+1
20*369^2+1
24*369^53+1
26*369^4+1
28*369^1+1
30*369^1+1
32*369^11+1
34*369^1+1[/code]
The rest all have trivial factors.

I'm working on S341 (CK=20).

Sierp base 444, CK=179.
Primes attached.

Remaining k's:
46*444^n+1
88*444^n+1
111*444^n+1

Base completed to 25K and released.

Sierp base 286, CK=368 proven.
Primes attached.

Sierp 304
 

Sierp Base 304
Conjectured k = 121
Covering Set = 5, 61
Trivial Factors k == 2 mod 3(3) and k == 100 mod 101(101)

Found Primes: 76k's - File emailed

Remaining: 2k's - Tested to n=25K
60*304^n+1
69*304^n+1

Trivial Factor Eliminations: 41k's

Base Released

k=1 is a GFN with no known prime

HTML Created

Reserving S500 to 25K.