# 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:

- $\left\{{p, p+2}\right\}$

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