On Prime Counting Functions Using Odd $K$-Almost Primes

Authors

  • T. Rashid
  • M. M. M. Jaradat
  • E. Yolacan
  • H. Ahmad

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.4961

Keywords:

, prime number, k- almost prime

Abstract

This work takes an interesting diversion, revealing the extraordinary capacity to determine the precise number of primes in a space tripled over another. Exploring the domain of K-almost prime numbers, this paper provides a clear explanation of the complex idea. In addition to outlining the conditions under which odd K-almost prime numbers must exist, it presents a novel method for figuring out how often odd numbers are as 2-almost prime, 3-almost prime, 4-almost prime, and so on, up to a specified limit n. The work goes one step further and offers useful advice on how to use these approaches to precisely calculate the prime counting function, π(n). Essentially, it offers a comprehensive exploration of the mathematical fabric, where primes reveal their mysteries in both large and small spaces.

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Published

2024-04-30

Issue

Section

Nonlinear Analysis

How to Cite

On Prime Counting Functions Using Odd $K$-Almost Primes. (2024). European Journal of Pure and Applied Mathematics, 17(2), 1146-1154. https://doi.org/10.29020/nybg.ejpam.v17i2.4961