A113190 Numbers n such that Fibonacci(n)-Fibonacci(i) is composite for all i=0..n-3.

14, 22, 26, 30, 31, 34, 38, 40, 42, 44, 46, 54, 61, 62, 64, 65, 67, 78, 80, 82, 88, 92, 94, 95, 98, 102, 103, 109, 112, 113, 117, 119, 121, 122, 125, 126, 127, 134, 135, 138, 139, 142, 143, 152, 154, 155, 158, 166, 167, 170, 172, 174, 175, 176, 182, 188, 190, 193

Offset

1,1

Comments

These are the n such that A113189(n)=0.

Links

Table of n, a(n) for n=1..58.

Mathematica

lst={}; Do[i=0; While[i<n-2 && !PrimeQ[Fibonacci[n]-Fibonacci[i]], i++ ]; If[i==n-2, AppendTo[lst, n]], {n, 3, 220}]; lst
Select[Range[3, 200], AllTrue[Fibonacci[#]-Fibonacci[Range[0, #-3]], CompositeQ] &] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Nov 05 2017 *)

Crossrefs

Cf. A113188 (primes that are the difference of two Fibonacci numbers).

Sequence in context: A199195 A291618 A266214 * A169804 A354811 A092112

Adjacent sequences: A113187 A113188 A113189 * A113191 A113192 A113193

Keyword

nonn

Author

T. D. Noe, Oct 17 2005

Status

approved