%I #10 Mar 31 2019 04:02:06
%N Even numbers representable as the sum of two odd composites.
%C If n is even and n > 38, at least one of (n-15), (n-25), (n-35) is an odd number divisible by 3 and greater than 3. So every even number > 38 is a term. [Jack Brennen]
%e 40 can be represented as 15+25 where 15 and 25 are both composite numbers, so 40 is a term.
%o (PARI) v=vector(5000); vc=1; forstep (n=9,300,2, if (isprime(n),continue, forstep (j=9,300,2,if (isprime(j),continue,x=n+j; fl=true; for (i=1,vc,if (v[i]==x,fl=false; break)); if (fl==true,v[vc]=x; vc++))))); print(vc); v=vecsort(vecextract(v,concat("1..",vc-1)))
%Y Cf. A118081.
%A _Jon Perry_, Nov 14 2002
%E Corrected by _Don Reble_, Nov 20 2006