Approximating the Prime Counting Function via an Operation on a Unique Prime Number Subsequence

TL;DR

This paper introduces a novel approach to approximate the prime counting function by applying a specific operation to a unique subsequence of prime numbers, offering potential new insights into prime distribution.

Contribution

It presents a new method linking the prime counting function with an operation on a unique prime subsequence, advancing understanding of prime number patterns.

Findings

Establishes a relationship between the prime counting function and a prime subsequence operation.

Provides a new approximation technique for prime counting.

Suggests potential applications in prime number theory and computational mathematics.

Abstract

We reveal a relationship between the prime counting function and an operation performed on a unique subsequence of the primes.