A277284 Prime-indexed primes p such that Fibonacci(p) is prime.

3, 5, 11, 17, 83, 431, 509, 130021, 148091, 433781

Offset: 1

Author

Bobby Jacobs, Oct 21 2016

Keywords

• nonn
• hard
• more

Comments

Intersection of A006450 and A083668. - Michel Marcus, Oct 21 2016

Examples

			17 = A000040(7), with 7 itself being a prime, and A000045(17) = 1597, a prime, thus 17 is included in this sequence.
		

Crossrefs

Cf. A000040, A000045, A006450, A083668, A122534, A277575.

Programs

Mathematica

Select[Prime[Prime[Range[37000]]],PrimeQ[Fibonacci[#]]&] (* Harvey P. Dale, Sep 12 2019 *)

PARI

isok(p) = isprime(p) && isprime(primepi(p)) && isprime(fibonacci(p)); \\ Michel Marcus, Oct 21 2016

Formula

a(n) = prime(A277575(n)).

a(n) = prime(prime(A122534(n))).