Some properties of Fibonacci primes

Details Some properties of Fibonacci primes Some properties of Fibonacci primes

2011-08-12

arxiv.org/abs/1108.2649v1

Mathematics

Number Theory

This is a preliminary form of the paper

Scientific paper

In this article we charaterize the primes Fibonacci numbers of the form $x^2
+ry^2$, where $r = 1,$ $r$ is a prime positive integer number or r is a power
of a prime positive integer, using techniques of combinatorics and numbers
theory. We also evaluate some distances related to the Fibonacci numbers and
function.

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