login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A118842
Primes of the form ceiling(phi^k).
1
2, 3, 5, 7, 47, 2207
OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Phi-Prime.
FORMULA
a(n) = A062724(A118841(n)). - R. J. Mathar, Sep 07 2007
MATHEMATICA
Select[Table[Ceiling[GoldenRatio^n], {n, 20}], PrimeQ] (* James C. McMahon, Sep 15 2024 *)
PROG
(PARI) phi=(1+sqrt(5))/2; for(n=1, 1e4, if(ispseudoprime(t=ceil(phi^n)), print1(t", "))) \\ Charles R Greathouse IV, Jul 29 2011
CROSSREFS
Cf. A118841.
Sequence in context: A171020 A214179 A178237 * A364831 A244595 A244597
KEYWORD
nonn,hard
AUTHOR
Eric W. Weisstein, May 01 2006
STATUS
approved