The goal of this paper is to introduce the concept of „Potential Primes“ within a given set of natural numbers, the maximum of which will be calculated as the product of the first n consecutive Prime Numbers. This concept will be used to demonstrate a mechanism for the emergence of Twin Primes and furthermore to prove the infinity of Twin Primes.
Prime Numbers are defined by their non-divisibility (other than by 1 and the number itself). In this paper we will focus on numbers which follow a similar, but somewhat less rigid, definition. These numbers shall be referred to as “Potential Primes”.
I have fixed the problem that existed in the first version of the document and humbly ask for a peer-review - Many thanks in advance, I look forward to your comments!