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 A195007 Number of primes in the range (n*sqrt(n-1), (n+1)*sqrt(n)]. 1
 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 3, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 3, 2, 1, 2, 1, 3, 2, 1, 1, 3, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 3, 1, 3, 1, 2, 2, 1, 2, 1, 1, 2, 3, 2, 2, 4, 1, 2, 2, 2, 3, 1, 2, 1, 2, 3, 2, 2, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS EXAMPLE a(1)=1`because 1*sqrt(1-1)<(prime 2)<=(1+1)*sqrt(1), a(2)=1 because 2*sqrt(2-1)<(prime 3)<=(2+1)*sqrt(2). MATHEMATICA Table[PrimePi[(n+1)*Sqrt[n]] - PrimePi[n*Sqrt[n-1]], {n, 100}] (* T. D. Noe, Sep 14 2011 *) CROSSREFS Cf. A006005, A192454. Sequence in context: A168201 A263000 A075774 * A276947 A178085 A078572 Adjacent sequences:  A195004 A195005 A195006 * A195008 A195009 A195010 KEYWORD nonn AUTHOR Juri-Stepan Gerasimov, Sep 07 2011 STATUS approved

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Last modified August 13 08:18 EDT 2022. Contains 356079 sequences. (Running on oeis4.)