A079636 - OEIS

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A079636

Smallest number whose reciprocal fits in the square-root gap of consecutive primes.

4, 2, 3, 2, 4, 2, 5, 3, 2, 6, 2, 4, 7, 4, 3, 3, 8, 3, 5, 9, 3, 5, 4, 3, 5, 11 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Is the limit of sqrt(P_(n+1)) - sqrt(P_n) 0?`
	REFERENCES	`Jim Ferry, sci.math, Jan 30 2003`
	LINKS	`Table of n, a(n) for n=1..26.`
	FORMULA	`a(n) = ceiling(1/(w'-w)) where w=sqrt(p(n)) and w'=sqrt(p(n+1))`
	EXAMPLE	`a(3) = 3 because p(3)=5, p(4)=7, w=sqrt(5) w'=sqrt(7) and 1/(w'-w)=2.44.`
	CROSSREFS	`Cf. A000040.` `Sequence in context: A068152 A182199 A217435 * A087229 A019614 A051528` `Adjacent sequences: A079633 A079634 A079635 * A079637 A079638 A079639`
	KEYWORD	`easy,nonn`
	AUTHOR	`Rainer Rosenthal, Jan 30 2003`
	STATUS	`approved`

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Last modified June 19 10:05 EDT 2013. Contains 226401 sequences.