A271317 - OEIS

A271317

Fibonacci(n) divides the n-th primorial.

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

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OFFSET

1,2

COMMENTS

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

Inspired by A019532.

LINKS

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

KEYWORD

nonn,fini,full

AUTHOR

Altug Alkan, Apr 03 2016

STATUS

approved