This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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