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arXiv · 2311.11946

On a Special Case of Dirichlet's Theorem

Jhixon Macías
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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.

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Jhixon Macías. 2023-09-27. On a Special Case of Dirichlet's Theorem. https://arxiv.org/abs/2311.11946

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