A263846 Floor of cube root of n-th prime.

1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8

Offset: 1

Author

N. J. A. Sloane, Nov 09 2015

Keywords

• nonn

Crossrefs

Cf. A000006, A000196, A048766.

Programs

Mathematica

Floor[Surd[#,3]]&/@Prime[Range[120]] (* Harvey P. Dale, Jun 19 2022 *)

PARI

a(n) = sqrtnint(prime(n), 3); \\ Michel Marcus, Nov 10 2015

Formula

a(n) = A048766(A000040(n)). - Michel Marcus, Nov 10 2015