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arXiv · 1108.2649

Some properties of Fibonacci primes

A. Barbulescu·D. Savin
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Abstract

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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A. Barbulescu, D. Savin. 2011-08-12. Some properties of Fibonacci primes. https://arxiv.org/abs/1108.2649

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