Periodicity related to a sieve method of producing primes

TL;DR

This paper explores a modified sieve method for generating primes, revealing its inherent periodicity and mirror symmetry, which enhances understanding of prime distribution patterns.

Contribution

It introduces a new sieve approach distinct from Eratosthenes' and uncovers its periodic and symmetric properties.

Findings

Identifies periodicity in the sieve pattern

Discovers mirror symmetry in the pattern

Provides insights into prime distribution

Abstract

In this paper we consider a slightly different sieve method from Eratosthenes' to get primes. We find the periodicity and mirror symmetry of the pattern.