# prime gap

## Polignac's Conjecture ★★★

Author(s): de Polignac

**Conjecture**Polignac's Conjecture: For any positive even number n, there are infinitely many prime gaps of size n. In other words: There are infinitely many cases of two consecutive prime numbers with difference n.

In particular, this implies:

**Conjecture**Twin Prime Conjecture: There are an infinite number of twin primes.