A242738 Smallest prime > (3/2)^n.

2, 3, 5, 7, 11, 13, 19, 29, 41, 59, 89, 131, 197, 293, 439, 659, 991, 1481, 2221, 3329, 4993, 7487, 11239, 16843, 25253, 37879, 56821, 85223, 127837, 191773, 287629, 431441, 647161, 970747, 1456121, 2184179, 3276253, 4914373, 7371571, 11057357, 16586039, 24879017, 37318507, 55977767

Offset

1,1

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..1000

Formula

a(n) = A242734(n) + floor((3/2)^n).

a(n) = A151800(A002379(n)). - Michel Marcus, Jun 20 2014

Mathematica

f[n_] := NextPrime[(3/2)^n]; Array[f, 40] (* Robert G. Wilson v, Jun 20 2014 *)

Prog

(PARI) a(n) = nextprime(3^n/2^n); \\ Michel Marcus, Jun 21 2014

Crossrefs

Cf. A242734.

Sequence in context: A222565 A113188 A358718 * A079153 A020616 A275272

Adjacent sequences: A242735 A242736 A242737 * A242739 A242740 A242741

Keyword

nonn

Author

Pierre CAMI, May 21 2014

Status

approved