2010Journal of Wenzhou UniversityRequires access

Positive Integer Solution of a Diophantine Equation

Niu Ying-ying

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Abstract

Let p be an odd prime,elementary method was used to prove that if p=108s2+1,where s is an odd number,then equation x 3+1=py2 has no positive integer solution(x,y).

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Let p be an odd prime,elementary method was used to prove that if p=108s2+1,where s is an odd number,then equation x 3+1=py2 has no positive integer solution(x,y).

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Available abstract

Let p be an odd prime,elementary method was used to prove that if p=108s2+1,where s is an odd number,then equation x 3+1=py2 has no positive integer solution(x,y).

Key concepts: Diophantine equation, Integer (computer science), Diophantine set, Legendre's equation, Mathematics, Discrete mathematics, Computer science, Programming language

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