# Infinite Number of Chen Primes

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## Contents

## Theorem

There exists an infinite number of Chen primes.

That is, there exists an infinite number of pairs:

- $\set {p, p + 2}$

where:

## Proof

## Historical Note

This was proved by Chen Jingrun in $1966$.

## Sources

- 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $7$: Patterns in Numbers: Fermat