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[[File:Eratosthenes.jpg|thumb|[[Eratosthenes]].]]

[[File:Eratosthenes.jpg|thumb|[[Eratosthenes]].]]

A '''prime number''' is a [[natural number]] greater than 1 that is [[divisible]] by only 1 and itself. Described another way, a prime number has only two [[factor]]s, 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13 ....  

A '''prime number''' is a [[natural number]] greater than 1 which is [[divisible]] by only 1 and itself. Described another way, a prime number has only two [[factor]]s, 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13 ....

 

As the foundation of all numbers, prime numbers have a [[spiritual]] quality that have fascinated [[mathematicians]] and others for all time.  Prime numbers are a great way to learn and teach [[math]], to improve mental acuity and focus, and to understand great works such as the [[Bible]].  The two greatest unsolved mysteries in [[mathematics]] relate to prime numbers: whether ever odd number is the sum of two primes ([[Goldbach's conjecture]]). and whether there are [[infinity|infinitely]] many [[twin primes]].

The opposites of a prime number are a [[composite number]] and a [[highly composite number]]. A [[composite number]] is the ''general'' opposite to a prime number. And a [[highly composite number]] is the ''special'', or ''extreme'', opposite to a prime number.

The opposites of a prime number are a [[composite number]] and a [[highly composite number]]. A [[composite number]] is the ''general'' opposite to a prime number. And a [[highly composite number]] is the ''special'', or ''extreme'', opposite to a prime number.

[[Leonhard Euler]] wrote: <blockquote>

[[Leonhard Euler]] wrote: <blockquote>