On the Sum of a Prime and a Square-free Number

TL;DR

This paper proves that every integer greater than two can be expressed as the sum of a prime and a square-free number, extending our understanding of additive number theory.

Contribution

It establishes a new universal representation theorem for integers as sums of primes and square-free numbers, a previously unproven conjecture.

Findings

Every integer > 2 can be written as prime + square-free number

The result holds for all integers greater than two

Provides a new perspective on additive number theory

Abstract

We prove that every integer greater than two may be written as the sum of a prime and a square-free number.