A194852 Number of primes in the interval [ sqrt(n^3) , sqrt((n+1)^3) ].

1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 3, 2, 1, 0, 2, 2, 0, 2, 2, 1, 3, 0, 3, 1, 1, 1, 3, 2, 1, 1, 3, 2, 1, 1, 2, 2, 1, 1, 3, 1, 2, 2, 1, 2, 2, 1, 3, 2, 3, 1, 2, 2, 2, 2, 0, 2, 1, 3, 1, 2, 3, 3, 1, 3, 3, 1, 2, 2, 1, 2, 2, 2, 3, 1, 2, 2, 2

Offset: 1

Author

Juri-Stepan Gerasimov, Sep 04 2011

Keywords

• nonn

Crossrefs

Cf. A014085, A000720.

Programs

Mathematica

Table[PrimePi[(n+1)^(3/2)] - PrimePi[n^(3/2)], {n, 87}] (* T. D. Noe, Oct 14 2011 *)
Differences[Table[PrimePi[Sqrt[n^3]],{n,90}]] (* Harvey P. Dale, Aug 27 2023 *)

Extensions

Corrected by R. J. Mathar, Sep 04 2011