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A111937 Integers n such that ceiling(pi^n) is prime. +0
2
5, 29, 88, 948, 1071, 1100, 1578, 14357 (list; graph; listen)
OFFSET

1,1

LINKS

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: A087348 A154412 A050409 this_sequence A139856 A097345 A097344

Adjacent sequences: A111934 A111935 A111936 this_sequence A111938 A111939 A111940

KEYWORD

nonn

AUTHOR

Ray G. Opao (1260(AT)email.com), Nov 27 2005

EXTENSIONS

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

a(8) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Feb 04 2008

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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