Towards a Precise Formula for Counting Prime Numbers

EasyChair Preprint 13087

Abstract

This paper delves into the possibility of creating a precise mathematical equation to calculate the exact number of prime numbers below a certain threshold. By utilizing tools from function analysis, series of functions, and innovative methods, the goal is to create a comprehensive formula that can accurately determine the quantity of primes within a specified numerical range. The research explores the theoretical underpinnings of prime numbers, using advanced techniques to improve and expand upon current methodologies. Through a combination of insights from function analysis and series theory, the proposed formula seeks to offer a strong and efficient solution for computing prime counts. This effort not only adds value to the field, but it also enhances our understanding of prime number distribution.

Keyphrases: integers, precise mathematical equation, prime numbers

@booklet{EasyChair:13087,
  author    = {Budee U Zaman},
  title     = {Towards a Precise Formula for Counting Prime Numbers},
  howpublished = {EasyChair Preprint 13087},
  year      = {EasyChair, 2024}}