# [seqfan] Re: Sums of a Mersenne prime and a Fermat prime; Means of a Mersenne prime and a Fermat prime; prime means of a Mersenne prime and a Fermat prime

Jonathan Post jvospost3 at gmail.com
Sat Mar 6 10:34:06 CET 2010

```I accidentally omitted a formula.

(((2^p)-1)+(2^(2^k)+1))/2 = 2^(p-1) + 2^((2^k)-1) for p in A000043 and
k in {0,1,2,3,4}.

On Fri, Mar 5, 2010 at 10:09 PM, Jonathan Post <jvospost3 at gmail.com> wrote:
> None in OEIS.  Worth submitting? If so, would anyone like to program,
> check, extend?
>
> Sums of a Mersenne prime and a Fermat prime. A019434(i) + A000668(j).
>
> 6, 8, 10, 12, 20, 24, 38, 48, 130, 132, 144, 260, 264, 288, 384, 8194,
> 8196, 8208, 8448, ...
>
> Means of a Mersenne prime and a Fermat prime. (A019434(i) + A000668(j))/2.
>
> 3, 4, 5, 6, 10, 12, 17, 19, 24, 65, 66, 130, 132, 144, 192, 4097,
> 4098, 4104, ...
>
> Prime means of a Mersenne prime and a Fermat prime. A000040
> INTERSECTION {(A019434(i) + A000668(j))/2}.
> 3, 5, 17, 19, 65537 = (3+131071)/2, ...
>

```