# [seqfan] Sums of three Mersenne primes, and prime sums of three Mersenne primes

Jonathan Post jvospost3 at gmail.com
Fri Mar 5 01:05:55 CET 2010

```This was crudely drafted by hand.  But if I did it right, it's not in OEIS.

Sums of three Mersenne primes = A000668(i) + A000668(j) + A000668(k),
i,j,k integers not necessarily distinct

9, 13, 17, 21, 37, 41, 45, 65, 69, 93, 133, 137, 141, 161, 165, 189,
257, 261, 285, 381, 8197, 8201, 8225, ...

Prime sums of three Mersenne primes = A000040 INTERSECTION {A000668(i)
+ A000668(j) + A000668(k), i,j,k integers not necessarily distinct}

13, 17, 37, 41, 137, 257, ...

The first of these seqs is a subset of sums of three odd primes; the
second of these is a subset of prime sums of three primes -- but where
are these in OEIS?

I also would xref A066615  Numbers which are not the sum of two or
three distinct primes.

Would anyone like to correct me, ore extend these?

And are there any strong feelings as to whether these are worth
submitting or not?

Thank you,

Jonathan Vos Post

```