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
Examples
5 is a term because Fibonacci(5) = 5 divides prime(5)! = 11! = 39916800.
Crossrefs
Cf. A019532.
Programs
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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
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Mathematica
Select[Range@ 40, Divisible[Prime[#]!, Fibonacci@ #] &] (* Michael De Vlieger, Apr 01 2016 *)
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PARI
for(n=1, 1e2, if(prime(n)! % fibonacci(n) == 0, print1(n, ", ")));
Comments