From the function Pr=2Nx+5 and discarding of the triangle of composite number generators to the generation of prime numbers

Abstract

In this article, a recently created function of the form Pr=2Np +5 is introduced, presenting its origin and importance. From this function, a list of natural numbers that generates composite numbers is created. A table is built using its modularities and a triangle that encompasses the generators: By discarding the numbers in the triangle, they are obtained by evaluating in the function the prime numbers that come to be the images of the natural numbers not present in the triangle . The method is important because it obviates the concepts of primality and divisibility of previous methods, avoiding the use of primality criteria and generating primes with a simple evaluation of the first degree function presented.