# Prime Number Checker

Check if a number is Prime or Composite. (X value must be less than 1 million)

## Introduction

The basis of this site is the Constantine Adraktas set of Matrix equations below.

Four mysql tables covering the above set of Composite numbers, cohabitants of the Primes in [ 6α + 5 ]
and [ 6α + 7 ], emerge

The site checks if the X value entered above is included in any of the four mysql tables of Composite numbers

If not, then X is a Prime

Logic for finding the Composite cohabitants of the Primes in the Primes Residencies | Matrix Equations | Primes Residences | ||||||
---|---|---|---|---|---|---|---|---|

1 | Multiply each element of | [ 6α + 5 ] | with each element of | [ 6α + 5 ] | leading to | [ 6α + 5 ] * [ 6 * ( α + λ ) + 5 ]^{T} |
and ending up in | [ 6α + 7 ] |

2 | Multiply each element of | [ 6α + 5 ] | with each element of | [ 6α + 7 ] | leading to | [ 6α + 5 ] * [ 6 * ( α + λ) + 7 ]^{T} |
and ending up in | [ 6α + 5 ] |

3 | Multiply each element of | [ 6α + 7 ] | with each element of | [ 6α + 5 ] | leading to | [ 6α + 7 ] * [ 6 * ( α + λ) + 5 ]^{T} |
and ending up in | [ 6α + 5 ] |

4 | Multiply each element of | [ 6α + 7 ] | with each element of | [ 6α + 7 ] | leading to | [ 6α + 7 ] * [ 6 * ( α + λ) + 7 ]^{T} |
and ending up in | [ 6α + 7 ] |

Also see http://www.isprimenumber.com/test.php
based also on the Matrix equations above

and
http://www.isprimenumber.com/
based on a database of the first 5m Primes.