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A059791 Numbers n such that floor(phi^n) is prime, where phi = golden ratio. 3
2, 5, 6, 7, 11, 13, 17, 19, 24, 31, 37, 41, 47, 48, 53, 61, 71, 79, 96, 113, 313, 353, 503, 613, 617, 863, 1097, 1361, 4787, 4793, 5851, 7741, 8467, 10691, 12251, 13963 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..36.

Eric Weisstein's World of Mathematics, Phi-Prime

EXAMPLE

floor(phi^863)=227160876495918562748535035942584201965901433059749617\

427535706949917136103176482875403653972639455945062095866005032008819\

9236184776437699830957031191632116265394965429613743580479 is prime.

MATHEMATICA

Block[{$MaxExtraPrecision=10000}, Select[Range[14000], PrimeQ[ Floor[ GoldenRatio^#]]&]] (* Harvey P. Dale, Mar 06 2017 *)

PROG

(PARI) isok(n) = isprime(floor(((sqrt(5)+1)/2)^n)) \\ Michel Marcus, Jul 14 2013

CROSSREFS

Cf. A001622, A059792.

Sequence in context: A080589 A292115 A283476 * A043329 A023699 A058605

Adjacent sequences:  A059788 A059789 A059790 * A059792 A059793 A059794

KEYWORD

nonn

AUTHOR

Naohiro Nomoto, Feb 22 2001

EXTENSIONS

More terms from Vladeta Jovovic, Feb 24 2001

a(27)-a(33) from Eric W. Weisstein, May 01 2006

a(34)-a(36) from Dmitry Kamenetsky, Dec 29 2008

STATUS

approved

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Last modified May 22 00:25 EDT 2019. Contains 323472 sequences. (Running on oeis4.)