Primorial prime: Difference between revisions
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A '''primorial prime''' is a [[prime number]] that differs from a [[defining ingredient::primorial]] by <math>1</math>. | A '''primorial prime''' is a [[prime number]] that differs from a [[defining ingredient::primorial]] by <math>1</math>. | ||
In other words, it is a prime number of the form <math>k# \pm 1</math>. | In other words, it is a prime number of the form <math>k\# \pm 1</math>. | ||
The primorial primes of the form <math>k# + 1</math> are also called [[Euclid prime]]s, and all numbers of the form <math>k# + 1</math> are called [[Euclid number]]s. | The primorial primes of the form <math>k\# + 1</math> are also called [[Euclid prime]]s, and all numbers of the form <math>k\# + 1</math> are called [[Euclid number]]s. | ||
==Behavior== | ==Behavior== | ||
Latest revision as of 21:11, 30 April 2009
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 .