# Definition:Fibonacci Prime

## Definition

A Fibonacci prime is a Fibonacci number which happens to be prime.

### Sequence

The sequence of Fibonacci primes begins:

$2, 3, 5, 13, 89, 233, 1597, 28 \, 657, 514 \, 229, 433 \, 494 \, 437, 2 \, 971 \, 215 \, 073, \ldots$

Their indices are:

$3, 4, 5, 7, 11, 13, 17, 23, 29, 43, 47, 83, \ldots$

## Also see

• Results about Fibonacci primes can be found here.

## Source of Name

This entry was named for Leonardo Fibonacci.