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.

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

Offset

1,2

Comments

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).

Links

Table of n, a(n) for n=1..8.

Example

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.

Crossrefs

Cf. A052297.

Sequence in context: A167791 A139099 A152259 * A003071 A178442 A319986

Adjacent sequences: A219608 A219609 A219610 * A219612 A219613 A219614

Keyword

nonn,more

Author

Naohiro Nomoto, Apr 12 2013

Status

approved