Zaman B.U. New Prime Number Theory

Article. — Publication at vixra.org, 2023. — 12 p.This paper introduces a novel approach to estimating the distribution of prime numbers by leveraging insights from partition theory, prime number gaps, and the angles of triangles. Application of this methodology to infinite sums and n-th terms, and propose several ways of defining the n-th term of a prime number. By using the Ramanujan infinite series of natural numbers, I am able to derive an infinite series of prime numbers value. Overall, this work represents a significant contribution to the field of prime number theory and sheds new light on the relationship between prime numbers and other mathematical concepts.