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A088700 Number of primes between successive semiprimes. +0
8
1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 3, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 3, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0 (list; graph; listen)
OFFSET

1,4

COMMENT

a(n) = A000720(A001358(n+1)) - A000720(A001358(n));

a(A088701(n))=n and a(k)<>n for 1<=k<A088701(n).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Eric Weisstein's World of Mathematics, Prime Counting Function

Eric Weisstein's World of Mathematics, Semiprime

EXAMPLE

a(34)=3, as there are three primes between A001358(34)=19*5=95

and A001358(34+1)=53*2=106: 97, 101 and 103.

CROSSREFS

Cf. A103668 (semiprimes between primes)

Sequence in context: A039974 A039973 A035171 this_sequence A035446 A126211 A095414

Adjacent sequences: A088697 A088698 A088699 this_sequence A088701 A088702 A088703

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 08 2003

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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