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2015•Journal of Guangxi Teachers Education UniversityRequires access

On the Diophantine Equation x~3+1=427y~2

Kecheng Zhou

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Abstract

In this paper,we prove that the Diophantine equation x3+1=427y2 only has integer solutions(x,y)=(-1,0).

About this research paper

What this paper is about

In this paper,we prove that the Diophantine equation x3+1=427y2 only has integer solutions(x,y)=(-1,0).

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Available abstract

In this paper,we prove that the Diophantine equation x3+1=427y2 only has integer solutions(x,y)=(-1,0).

Key concepts: Diophantine equation, Mathematics, Diophantine set, Thue equation, Legendre's equation, Diophantine geometry, Pure mathematics, Discrete mathematics

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