A271317 Fibonacci(n) divides the n-th primorial.

1, 2, 3, 4, 5, 7, 8, 9, 10, 14, 16, 20

Offset

1,2

Comments

Integers n such that A000045(n) divides A002110(n).

Inspired by A019532.

Links

Table of n, a(n) for n=1..12.

Example

5 is a term because fibonacci(5) = 5 divides 2*3*5*7*11 = 2310.

Mathematica

Select[Range@ 20, Divisible[Product[Prime@ k, {k, #}], Fibonacci@ #] &] (* Michael De Vlieger, Apr 04 2016 *)

Prog

(PARI) for(n=1, 1e4, my(f = fibonacci(n)); if (lift(prod(i=1, n, Mod(prime(i), f))) == 0, print1(n, ", ")));

Crossrefs

Cf. A000045, A002110, A019532, A271168.

Sequence in context: A286302 A299767 A129268 * A374759 A330220 A039169

Adjacent sequences: A271314 A271315 A271316 * A271318 A271319 A271320

Keyword

nonn,fini,full

Author

Altug Alkan, Apr 03 2016

Status

approved