login
A111937
Integers k such that ceiling(Pi^k) is prime.
1
5, 29, 88, 948, 1071, 1100, 1578, 14357
OFFSET
1,1
LINKS
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
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