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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
 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 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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