A051035 Composite numbers which can be represented as the sum of two primes (i.e., A002808 excluding A025583).

4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 28, 30, 32, 33, 34, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 52, 54, 55, 56, 58, 60, 62, 63, 64, 66, 68, 69, 70, 72, 74, 75, 76, 78, 80, 81, 82, 84, 85, 86, 88, 90, 91, 92, 94, 96, 98, 99, 100, 102, 104, 105

Offset

1,1

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Prime Partition.

Mathematica

r[n_] := Reduce[2 <= p <= q && n == p + q, {p, q}, Primes]; Select[Range[4, 105], r[#] =!= False && ! PrimeQ[#] & ] (* Jean-François Alcover, Oct 29 2012 *)

Prog

(Haskell)
a051035 n = a051035_list !! (n-1)
a051035_list = filter ((== 0) . a010051) a014091_list

Crossrefs

Cf. A002808, A025583.

Cf. A010051, subsequence of A014092.

Sequence in context: A340268 A340058 A174891 * A046349 A115683 A175526

Adjacent sequences: A051032 A051033 A051034 * A051036 A051037 A051038

Keyword

nonn

Author

Eric W. Weisstein

Status

approved