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A113190
Numbers n such that Fibonacci(n)-Fibonacci(i) is composite for all i=0..n-3.
1
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.
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: A373611 A291618 A266214 * A169804 A354811 A092112
KEYWORD
nonn
AUTHOR
T. D. Noe, Oct 17 2005
STATUS
approved