A Simple Method for searching for Prime Pairs in the Goldbach Conjecture

TL;DR

This paper presents a straightforward approach leveraging integer identities and remainder properties to efficiently search for prime pairs in the Goldbach Conjecture, reducing search effort by half.

Contribution

It introduces a novel, simplified method that cuts the search length in half for finding prime pairs related to the Goldbach Conjecture.

Findings

Search length reduced by 50%

Method based on integer identities and remainders

Potential to accelerate verification of the conjecture

Abstract

In this paper we introduce a simple method of searching for the prime pairs in the famous Goldbach Conjecture. The method, which is based on certain integer identities as well as an observation related to the remainder property, enables us to cut the search length by half and therefore can be considered as a short cut in searching for the prime pairs in the Goldbach Conjecture.