# primality

## Alexa's Conjecture on Primality ★★

Author(s): Alexa

**Definition**Let be the unique integer (with respect to a fixed ) such that

**Conjecture**A natural number is a prime iff

Keywords: primality

## Giuga's Conjecture on Primality ★★

Author(s): Giuseppe Giuga

**Conjecture**is a prime iff

Keywords: primality

## MacEachen Conjecture ★

Author(s): McEachen

**Conjecture**Every odd prime number must either be adjacent to, or a prime distance away from a primorial or primorial product.

Keywords: primality; prime distribution