An Analysis of the Congruence 1 mod 24 as a Generator of Prime Numbers Greater or Equal to 5

It has always been thought that primes numbers within natural numbers do not fulfill well-defined rules that can express themselves through a sequential structure to facilitate checking their properties. The study of congruence 1 mod 24, allows us to find some of the properties of prime numbers and demonstrate how these are directly related to this type of congruence that enable us to find all (though not only) the primes p≥ 5.