A119984 Numbers k such that Fibonacci(prime(k)) is prime.

2, 3, 4, 5, 6, 7, 9, 10, 14, 15, 23, 32, 33, 72, 83, 84, 87, 97, 104, 105, 429, 637, 710, 1152, 1194, 1692, 2814, 3316, 3824, 3971, 5206, 8002, 10016, 12161, 13681, 18069, 33653, 36467, 48355, 48629, 49455, 73574, 82128, 99005, 123685, 135276, 146779, 210404, 233207, 239581

Offset

1,1

Comments

All prime Fibonacci numbers have prime indices, except prime F(4) = 3; a(n) is such that Fibonacci(prime(a(n))) is prime. - Robert G. Wilson v, Aug 05 2006

Links

Amiram Eldar, Table of n, a(n) for n = 1..55

Formula

a(n) = pi(A001605(n+1)). This holds for all n including n=1, since pi(4) = pi(3) = 2. - Jens Kruse Andersen, Jul 24 2014

Mathematica

Select[ Range@3000, PrimeQ@ Fibonacci@ Prime@ # &] (* Robert G. Wilson v, Aug 05 2006 *)

Crossrefs

Cf. A000045, A000720, A001605, A005478, A030426, A075737, A083668.

Sequence in context: A152493 A229028 A079002 * A059879 A132430 A049537

Adjacent sequences: A119981 A119982 A119983 * A119985 A119986 A119987

Keyword

nonn

Author

Alexander Adamchuk, Aug 04 2006

Extensions

a(21)-a(27) from Robert G. Wilson v, Aug 05 2006

More terms (from A001605) from T. D. Noe, Aug 18 2006

a(42)-a(48) (from A001605, found by Henri Lifchitz) from Jens Kruse Andersen, Jul 24 2014

a(49)-a(50) (from A001605, found by Henri Lifchitz) from Amiram Eldar, Sep 01 2019

Status

approved