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New Prime Number Theory

EasyChair Preprint 11309

9 pagesDate: November 17, 2023

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

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@booklet{EasyChair:11309,
  author    = {Budee U Zaman},
  title     = {New Prime Number Theory},
  howpublished = {EasyChair Preprint 11309},
  year      = {EasyChair, 2023}}
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