The distribution of the non-prime numbers - A new Sieve

TL;DR

This paper introduces a novel sieve method that efficiently identifies prime numbers using regular patterns while avoiding duplicate elements, potentially improving prime number detection techniques.

Contribution

The paper proposes a new sieve approach that leverages regular patterns and eliminates duplication, advancing prime number identification methods.

Findings

Efficient prime detection using the new sieve.

Avoidance of duplicate elements in the sieve process.

Potential improvements over existing prime sieves.

Abstract

We present a new sieve that allows us to find the prime numbers by using only regular patterns and, more importantly, avoiding any duplication of elements between them.