On prime numbers of the form $2^n \pm k$

José Manuel Rodríguez Caballero

On prime numbers of the form $2^n \pm k$

Number Theory 2023-05-03 v2

Authors: José Manuel Rodríguez Caballero

Abstract

Consider the set $\mathcal{K}$ of integers $k$ for which there are infinitely many primes $p$ such that $p+k$ is a power of $2$ . The aim of this paper is to show a relationship between $\mathcal{K}$ and the limits points of some set rational numbers related to a sequence of polynomials $C_n(q)$ introduced by Kassel and Reutenauer [KasselReutenauer].

Keywords

prime numbers power of 2 limit points polynomial sequence rational numbers

Cite

@article{arxiv.1709.05331,
  title  = {On prime numbers of the form $2^n \pm k$},
  author = {José Manuel Rodríguez Caballero},
  journal= {arXiv preprint arXiv:1709.05331},
  year   = {2023}
}

Comments

I do not agree anymore with the ideas expressed in the manuscript

Related papers

View all related →