New Prime Number Theory

EasyChair Preprint no. 11309

Abstract

This paper introduces a novel approach to estimating the sum of prime
numbers by leveraging insights from partition theory, prime number gaps,
and the angles of triangles. The methodology is applied to infinite sums
and the nth sum, and several ways of defining the nth sum of a prime
number are proposed. By using the Ramanujan infinite series of natural
numbers, it is possible to derive an infinite series of prime numbers.

Keyphrases: Prime Gap, Prime number, Theory of partitions primes

@Booklet{EasyChair:11309,
  author = {Budee U Zaman},
  title = {New Prime Number Theory},
  howpublished = {EasyChair Preprint no. 11309},

  year = {EasyChair, 2023}}