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Fibonacci Primes
Basic Info
Discovered by Leonardo Fibonacci
Number of Unknown
Description A prime which is also a term in the Fibonacci sequence
First Few 2, 3, 5, 13, 89, 233

Fibonacci Primes are prime numbers that are also of the Fibonacci Sequence. The Fibonacci Sequence is formed by adding the two preceding numbers to form a third. The first two terms are 1.

In the Fibonacci series, any number which appears as a position n is the sequence divides the number at position 2n, 3n, 4n, etc. in the sequence. For example, the fourth Fibonacci number, F4 = 3, divides F8 (21), F12 (144) and F16 (987), and all further Fibonacci numbers at a position that is a multiple of 4. As a result, a Fibonacci Prime can only appear at a prime valued position in the Fibonacci series, with the exception of F4 = 3 (which is a multiple of F2 = 1). The converse is not true, however, as the 19th Fibonacci number (4181), for example, is a composite number.

The First Few Fibonacci Primes

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