About connection of one matrix of composite numbers with Legendre's conjecture

TL;DR

This paper explores the potential relationship between a specific matrix of composite numbers and Legendre's conjecture, aiming to provide insights into prime distribution.

Contribution

It introduces a novel perspective by connecting a matrix of composite numbers of the form 6h±1 with Legendre's conjecture, offering a new approach to understanding prime gaps.

Findings

Identifies structural properties of the T-matrix related to composite numbers.

Proposes a theoretical link between the matrix and prime distribution.

Suggests potential implications for Legendre's conjecture.

Abstract

Scientific paper is devoted to establish connection of T-matrix - matrix of composite numbers 6h+1 v 6h-1 in special view - with Legendre's conjecture.