A111937 Integers k such that ceiling(Pi^k) is prime.

5, 29, 88, 948, 1071, 1100, 1578, 14357

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Eric Weisstein's World of Mathematics, Phi-Prime

Example

a(1)=5: ceiling(3.14159265...^5) = ceiling(306.0196847...) = 307, which is prime.

Mathematica

$MaxExtraPrecision = 2^20; Do[ If[ PrimeQ[ Ceiling[Pi^n]], Print[n]], {n, 10000}] (* Robert G. Wilson v, Nov 28 2005 *)

Crossrefs

Cf. A001673.

Sequence in context: A236075 A272650 A050409 * A215850 A308396 A190585

Adjacent sequences: A111934 A111935 A111936 * A111938 A111939 A111940

Keyword

nonn,more

Author

Ray G. Opao, Nov 27 2005

Extensions

a(5)-a(7) from Robert G. Wilson v, Nov 28 2005

a(8) from Donovan Johnson, Feb 04 2008

Status

approved