[seqfan] 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]

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, ...