A219611 - OEIS

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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.

1, 3, 5, 9, 11, 14, 14, 21 (list; graph; refs; listen; history; text; internal format)

	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`

Last modified April 17 11:26 EDT 2021. Contains 343064 sequences. (Running on oeis4.)