A109578 - OEIS

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A109578

[pi(n+1)-pi(n)][prime(n+1)-prime(n)], where pi(k) is the number of prime numbers less than or equal to k and prime(k) is the k-th prime number.

1, 2, 0, 4, 0, 4, 0, 0, 0, 2, 0, 4, 0, 0, 0, 6, 0, 6, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 14, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 10, 0, 0, 0, 12, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 14, 0, 0, 0, 4, 0, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 10, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	LINKS	`Table of n, a(n) for n=1..104.`
	MAPLE	`with(numtheory): a:=n->(pi(n+1)-pi(n))*(ithprime(n+1)-ithprime(n)): seq(a(n), n=1..160);`
	MATHEMATICA	`an = Table[(PrimePi[n + 1] - PrimePi[n])*(Prime[n + 1] - Prime[n]), {n, 1, 200}]`
	CROSSREFS	`Cf. A001223, A010051.` `Sequence in context: A181481 A119607 A164297 * A082519 A035688 A046769` `Adjacent sequences: A109575 A109576 A109577 * A109579 A109580 A109581`
	KEYWORD	`nonn`
	AUTHOR	`Roger L. Bagula, Jun 29 2005`
	STATUS	`approved`

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Last modified May 25 05:52 EDT 2013. Contains 225644 sequences.