# Dirichlet's theorem

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**Dirichlet's theorem** is a theorem in number theory, which states that for any two coprime positive integers $a$ and $d$, there exists an infinite amount of positive integers $n$ for which $an + d$ is a prime number.

**Cite as:**Dirichlet's theorem.

*Brilliant.org*. Retrieved from https://brilliant.org/wiki/dirichlets-theorem/