%N a(n) is the smallest omega(A061214(k)) sampled over all indices k of prime gaps prime(k+1) - prime(k) = 2n, where omega = A001221.
%C The example demonstrates that the minimum order of the set of primes represented by all composites in the prime gap 2*n is not necessarily obtained by using the smallest prime(k) (that would be A038664).
%e For n=8: p_283-p_282 = p_296-p_295 = 2*8=16; omega(A061214(282)) > omega(A061214(295)); omega(A061214(295)) = 21; so a(8) = 21.
%Y Cf. A052297.
%A _Naohiro Nomoto_, Apr 12 2013