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A219611 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. 0

%I

%S 1,3,5,9,11,14,14,21

%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.

%K nonn,more

%O 1,2

%A _Naohiro Nomoto_, Apr 12 2013

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Last modified May 16 01:55 EDT 2021. Contains 343937 sequences. (Running on oeis4.)