

A279795


Numbers n such that F(n) and F(n2) are both prime where F(n) = A000045(n).


4




OFFSET

1,1


COMMENTS

a(6) > 2904353.  Daniel Suteu, Dec 23 2016
Terms n of A001605 such that n2 is also a term of A001605. Surprisingly, the first 4 terms minus 2, { 3, 5, 11, 431 }, are the first four terms of A101315 which also relates to simultaneously prime { m+2, F(m) and F(m)+2 }, but where F is a different function, m > (m1)^2 + 1.  M. F. Hasler, Dec 24 2016
Larger primes of the Fibonacci prime pairs in A073340.  Bobby Jacobs, Jan 18 2017


LINKS

Table of n, a(n) for n=1..5.


FORMULA

a(n) = A281087(n) + 2.  Bobby Jacobs, Jan 18 2017


EXAMPLE

13 is a term because Fibonacci(13) = 233 and Fibonacci(11) = 89 are both prime.


MATHEMATICA

Select[Range[10^4], Times @@ Boole@ Map[PrimeQ@ Fibonacci@ # &, {#, #  2}] > 0 &] (* Michael De Vlieger, Jan 21 2017 *)
Flatten[Position[Partition[Fibonacci[Range[580]], 3, 1], _?(AllTrue[ {#[[1]], #[[3]]}, PrimeQ]&), 1, Heads>False]]+2 (* Harvey P. Dale, Oct 01 2021 *)


PROG

(PARI) isok(n) = isprime(fibonacci(n)) && isprime(fibonacci(n2)); \\ Michel Marcus, Jan 14 2017


CROSSREFS

Cf. A000045, A001605, A006512, A073340, A101315, A281087.
Sequence in context: A342506 A158892 A106022 * A050085 A314331 A314332
Adjacent sequences: A279792 A279793 A279794 * A279796 A279797 A279798


KEYWORD

more,nonn


AUTHOR

Altug Alkan, Dec 18 2016


STATUS

approved



