About Goldbach strong conjecture

TL;DR

This paper explores the Goldbach strong conjecture by classifying numbers into families of the form 6n+1 and 6n+5, employing a geometric binary band method to analyze prime distributions and potential proofs.

Contribution

It introduces a novel geometric binary band approach based on number classification to study the Goldbach strong conjecture.

Findings

Proposes a new geometric method for analyzing prime distributions.

Provides insights into the structure of numbers related to the conjecture.

Suggests potential pathways for future proof strategies.

Abstract

In this work we use the number classification in families of the form 6n+1, and 6n+5 with n integer (Such families contain all odd prime numbers greater than 3 and other compound numbers related with primes). We will use this kind of classification in order to attempt an approach to Goldbach strong conjecture. By means of a geometric method of binary bands of numbers we conceive a new form of study of the stated problem.