Infinite Number of Chen Primes

From ProofWiki
Jump to navigation Jump to search

Theorem

There exists an infinite number of Chen primes.


That is, there exists an infinite number of pairs:

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

where:

$p$ is a prime
$p + 2$ is either a prime or a semiprime.


Proof


Historical Note

This was proved by Chen Jingrun in 1966.


Sources