Year: 2023
Type: preprint
Abstract: Let $p$ be a prime number, and $h$ a positive integer such that $\gcd(p,h)=1$. We prove, without invoking Dirichlet's theorem, that the arithmetic progression $p\left(\mathbf{N}\cup \{0\}\right)+h$ contains infinitely many prime numbers. This is a special case of Dirichlet's theorem not considered by other authors.
Source: arXiv (Cornell University)
Author: Macías, Jhixon
Institution: University of Puerto Rico-Mayaguez
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4388926258