A271168 Numbers n such that Fibonacci(n) divides p! where p is n-th prime.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 24, 30, 36

Offset

1,2

Comments

Inspired by A019532.

A019532 is a subsequence.

Links

Table of n, a(n) for n=1..18.

Example

5 is a term because Fibonacci(5) = 5 divides prime(5)! = 11! = 39916800.

Maple

with(combinat): A271168:=n->`if`(ithprime(n)! mod fibonacci(n)=0, n, NULL): seq(A271168(n), n=1..40); # Wesley Ivan Hurt, Apr 01 2016

Mathematica

Select[Range@ 40, Divisible[Prime[#]!, Fibonacci@ #] &] (* Michael De Vlieger, Apr 01 2016 *)

Prog

(PARI) for(n=1, 1e2, if(prime(n)! % fibonacci(n) == 0, print1(n, ", ")));

Crossrefs

Cf. A019532.

Sequence in context: A130514 A130232 A103969 * A292514 A030141 A242367

Adjacent sequences: A271165 A271166 A271167 * A271169 A271170 A271171

Keyword

nonn,fini,full

Author

Altug Alkan, Mar 31 2016

Status

approved