# Primorial prime

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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.
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## 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 .