2016viXraRequires access

Another Solution to Beal and Fermat

Ricardo Gil

Open publisher page 0 citations

Abstract

The Tijdeman–Zagier conjecture, also known as Beal's conjecture, is a conjecture in number theory: – If A^x+B^y=C^z, Where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor. Equivalently, There are no solutions to the above equation in positive integers A, B, C, x, y, z with A, B, and C being pairwise coprime and all of x, y, z being greater than 2.

About this research paper

What this paper is about

The Tijdeman–Zagier conjecture, also known as Beal's conjecture, is a conjecture in number theory: – If A^x+B^y=C^z, Where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor. Equivalently, There are no solutions to the above equation in positive integers A, B, C, x, y, z with A, B, and C being pairwise coprime and all of x, y, z being greater than 2.

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

The Tijdeman–Zagier conjecture, also known as Beal's conjecture, is a conjecture in number theory: – If A^x+B^y=C^z, Where A, B, C, x, y, and z are positive integers with x, y, z > 2, then A, B, and C have a common prime factor. Equivalently, There are no solutions to the above equation in positive integers A, B, C, x, y, z with A, B, and C being pairwise coprime and all of x, y, z being greater than 2.

Key concepts: Coprime integers, Fermat's Last Theorem, Number theory, Mathematics, Conjecture, Combinatorics, Prime (order theory), Beal's conjecture

Related papers

Back to paper searchBrowse research topicsOriginal source
Another Solution to Beal and Fermat — Research Paper | ScholarLens