OFFSET
1,2
COMMENTS
n is in this sequence if and only if it is not divisible by any member of A001605.
Conjecture: this sequence has natural density around 0.229. (The sequence has a natural density unless Fibonacci primes are much denser than expected.)
There are 232 terms up to 10^3, 2293 terms up to 10^4, 22869 terms up to 10^5, and 228896 terms up to 10^6. - Charles R Greathouse IV, Dec 11 2015
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
EXAMPLE
The 19th Fibonacci is 4181 = 37*113, but neither 37 nor 113 is a Fibonacci number so 19 is in this sequence.
PROG
(PARI) is(n)=if(gcd(1155, n)>1||n%4==0, return(0)); my(f=factor(n)[, 1]); for(i=1, #f, if(ispseudoprime(fibonacci(f[i])), return(0))); 1
CROSSREFS
KEYWORD
nonn
AUTHOR
Charles R Greathouse IV, Aug 14 2015
STATUS
approved