Existence of Prime Numbers

Prime numbers are quite fascinating, considering their very existence seems to have no identifiable patterns that can give insight as to how and why prime numbers exist in the first place. In particular, for a world that has enjoyed the benefits of mathematics for thousands of years, it might prove difficult to look at the truths that have been constructed over the years from a different perspective.

This paper details some observable properties between prime and even numbers based on Goldbach’s conjecture. Sections 2 and 3 details the simulations conducted for this experiment that attempts to explain how and the reasons why prime numbers exist. Section 4 details the observable properties of prime and even numbers based on the results from these simulations.

Section 5 provides proof for the inextricable link between prime and even numbers. Section 6 details how prime numbers are created, whereas section 7 provides observable properties that give insights as to the reason why prime numbers exist. Section 8 offers some observable properties of prime numbers that proves Goldbach’s conjecture was correct all along. Section 9 provides proofs that the number 1 is a prime number, whereas section 10 provides proofs that the number 2 is not a prime number at all. Section 11 provides proofs that prime numbers are not directly linked to composite numbers, while section 12 provides proofs that nonprime numbers are created by means of addition.