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 A089616 Number of primes between n^2 and (n+1/6)^2. 1
 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 3, 1, 2, 4, 2, 3, 2, 4, 1, 1, 1, 1, 3, 2, 2, 2, 2, 1, 2, 4, 1, 2, 2, 1, 4, 2, 2, 3, 3, 4, 1, 2, 4, 3, 2, 3, 1, 3, 2, 2, 3, 3, 3, 4, 2, 3, 3, 1, 5, 2, 3, 3, 5, 2, 5, 3, 4, 4, 5, 1, 3, 6, 4, 4, 7, 5, 5, 2, 2, 3, 4, 3, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,10 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 MAPLE seq(numtheory:-pi(floor((n+1/6)^2))-numtheory:-pi(n^2), n=1..200); # Robert Israel, Jan 02 2018 MATHEMATICA Table[PrimePi[(n+1/6)^2]-PrimePi[n^2], {n, 110}] (* Harvey P. Dale, Sep 17 2013 *) PROG (PARI) pbetweensq2(n) = { for(x=1, n, c=0; for(y=floor(x)^2, (x+1/6)^2, if(isprime(y), c++) ); print1(c", ") ) } (PARI) a(n) = primepi((n+1/6)^2) - primepi(n^2); \\ Michel Marcus, Jan 03 2018 CROSSREFS Sequence in context: A277937 A112020 A069160 * A089615 A301593 A089731 Adjacent sequences:  A089613 A089614 A089615 * A089617 A089618 A089619 KEYWORD easy,nonn,look AUTHOR Cino Hilliard, Dec 31 2003 STATUS approved

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Last modified April 5 02:11 EDT 2020. Contains 333238 sequences. (Running on oeis4.)