About the theorem that partially solves the Navarrete–Orellana Conjecture

Abstract

The Navarrete-Orellana Conjecture states that "given a large prime number a sequence is generated, in such a way that all odd prime numbers, except the given prime, are fixed points of that sequence". In this work, we formulated a theorem that partially confirms the veracity of this conjecture, more specifically, all prime numbers of a given line segment are fixed points of this sequence.