# Primorial prime

From Number

This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property.

View other properties of prime numbers | View other properties of natural numbers

## Definition

A **primorial prime** is a prime number that differs from a primorial by .

In other words, it is a prime number of the form .

The primorial primes of the form are also called Euclid primes, and all numbers of the form are called Euclid numbers.

## Behavior

### Initial values

The initial values of primorial primes are .