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%I #3 Oct 31 2013 12:44:26
%S 2,3,9,11,11,16,16,18,20,23,16,29,16,25,27,23,22,25,35,29,26,25,27,27,
%T 27,33,28,44,35,21,29,35,38,33,39,37,34,35,31,31,28,41,37,32,44,35,37,
%U 41,44,33,37,32,47,39,43,47,33,37,48,41,37,48,34,35,47,36,29
%N Conjectured number of positive even numbers having exactly n representations as the unordered sum of two odd primes.
%C This sequence is closely related to the Goldbach conjecture, which is equivalent to a(0) = 2; that is, there are no numbers other than 2 and 4 that have no representations as the sum of two odd primes. This is sequence A000974, except for the first two terms.
%e There are 3 even numbers with one representation: 6 = 3+3, 8 = 3+5, and 12 = 5+7. Hence, a(1) = 3.
%Y Cf. A000974 (using both even and odd primes).
%Y Cf. A002375 (number of representations of 2n as the sum of two odd primes).
%K nonn
%O 0,1
%A _T. D. Noe_, Oct 31 2013
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