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A111937 Integers n such that ceiling(pi^n) is prime. 1
5, 29, 88, 948, 1071, 1100, 1578, 14357 (list; graph; refs; listen; history; text; internal format)
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(3.1415926535897932384626433832795^5) = 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

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Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)