# 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 https://www.isprimenumber.com/test.php based also on the Matrix equations above
and https://www.isprimenumber.com/ based on a database of the first 5m Primes.