A138183 Smallest Fibonacci number not less than the n-th prime.

2, 3, 5, 8, 13, 13, 21, 21, 34, 34, 34, 55, 55, 55, 55, 55, 89, 89, 89, 89, 89, 89, 89, 89, 144, 144, 144, 144, 144, 144, 144, 144, 144, 144, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 233, 377, 377

Offset

1,1

Links

Table of n, a(n) for n=1..53.

Example

a(4) = 8 because the 8 is the smallest Fibonacci number not less than 7 (the 4th prime).

Mathematica

With[{fibs=Fibonacci[Range[20]]}, Table[SelectFirst[fibs, #>=n&], {n, Prime[ Range[60]]}]] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Apr 22 2018 *)

Prog

(PARI) a(n) = {p = prime(n); i = 0; until ((f = fibonacci(i)) >= p, i++); f; } \\ Michel Marcus, Aug 31 2013

Crossrefs

Cf. A138182, A138185.

Sequence in context: A272918 A010076 A182444 * A076591 A078695 A121367

Adjacent sequences: A138180 A138181 A138182 * A138184 A138185 A138186

Keyword

easy,nonn

Author

Colm Mulcahy, Mar 04 2008

Status

approved