Definition:Fibonacci Prime - ProofWiki (original) (raw)

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,ldots2, 3, 5, 13, 89, 233, 1597, 28 \, 657, 514 \, 229, 433 \, 494 \, 437, 2 \, 971 \, 215 \, 073, \ldots2,3,5,13,89,233,1597,28,657,514,229,433,494,437,2,971,215,073,ldots

Their indices are: 3,4,5,7,11,13,17,23,29,43,47,83,ldots3, 4, 5, 7, 11, 13, 17, 23, 29, 43, 47, 83, \ldots3,4,5,7,11,13,17,23,29,43,47,83,ldots

Also see

• Do Fibonacci Primes Go On For Ever?
• Results about Fibonacci primes can be found here.

Source of Name

This entry was named for Leonardo Fibonacci.

Sources

• Weisstein, Eric W. "Fibonacci Prime." From _MathWorld_--A Wolfram Web Resource. https://mathworld.wolfram.com/FibonacciPrime.html