%I
%S 1,2,3,4,6,11,17,23,27,29,35,37,41,47,51,53,57,59,65,67,71,77,79,83,
%T 87,89,93,95,97,101,107,113,117,119,121,123,125,127,131,135,137,143,
%U 145,147,149,155,157,161,163,167,171,173,177,179,185,187,189,191,197,203
%N Natural numbers that not are the sum of two distinct primes.
%C All numbers that appear in A014092 are also in this sequence, by definition.
%C It seems that, for n > 6, the reverse is also true, however this is unproved.  _Ely Golden_, Dec 25 2016
%C All numbers that appear in this sequence but not A014092 must be even semiprimes with no other partitions into primes.  _Ely Golden_, Dec 25 2016
%H G. C. Greubel, <a href="/A166081/b166081.txt">Table of n, a(n) for n = 1..1000</a>
%F {1} U A025584 U A109934.  _R. J. Mathar_, Oct 08 2009
%F A000027 \ A038609.  _R. J. Mathar_, Oct 14 2009
%t Select[Range@ 204, Length@Select[Transpose@{#, Reverse@ #  1} &@ Range[#] &@ #, Times @@ Boole@ Map[PrimeQ, #] == 1 && First@ # != Last@ # &] == 0 &] (* _Michael De Vlieger_, Apr 24 2016 *)
%Y Cf. A000027, A000040, A006881, A014092.
%Y Cf. A066615.  _R. J. Mathar_, Oct 14 2009
%K nonn
%O 1,2
%A _JuriStepan Gerasimov_, Oct 06 2009
