

A111937


Integers n such that ceiling(pi^n) is prime.


1




OFFSET

1,1


LINKS

Table of n, a(n) for n=1..8.
Eric Weisstein's World of Mathematics, PhiPrime


EXAMPLE

a(1)=5: ceiling(3.1415926535897932384626433832795^5) = ceiling(306.01968478528145326274131004344) = 307, which is prime.


MATHEMATICA

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


CROSSREFS

Sequence in context: A236075 A272650 A050409 * A215850 A190585 A197276
Adjacent sequences: A111934 A111935 A111936 * A111938 A111939 A111940


KEYWORD

nonn


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



