2014viXraRequires access

Goldbach´s Conjecture Implies Twin Prime Conjecture

O.Emilio C.Sánchez

Open publisher page 0 citations

Abstract

These two conjectures are perhaps the two most famous unsolved problems in number theory but, in fact, they are closely linked. In this concise article we will prove that Goldbach´s conjecture implies twin prime´s. Whether twin prime´s conjecture implies Goldbach´s conjecture (and then both conjectures would became equivalent) or not, will be matter of further and hard working.

About this research paper

What this paper is about

These two conjectures are perhaps the two most famous unsolved problems in number theory but, in fact, they are closely linked. In this concise article we will prove that Goldbach´s conjecture implies twin prime´s. Whether twin prime´s conjecture implies Goldbach´s conjecture (and then both conjectures would became equivalent) or not, will be matter of further and hard working.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

These two conjectures are perhaps the two most famous unsolved problems in number theory but, in fact, they are closely linked. In this concise article we will prove that Goldbach´s conjecture implies twin prime´s. Whether twin prime´s conjecture implies Goldbach´s conjecture (and then both conjectures would became equivalent) or not, will be matter of further and hard working.

Key concepts: Twin prime, Goldbach's conjecture, Conjecture, Prime (order theory), abc conjecture, Combinatorics, Number theory, Mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
Goldbach´s Conjecture Implies Twin Prime Conjecture — Research Paper | ScholarLens