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2014•Journal of Chongqing Technology and Business UniversityRequires access

On Integer Solution to Diophantine Equation x~3+64=273y~2

Liao Ju

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Abstract

This paper proves that Diophantine equation x3+ 64 = 273y2 only has integer solution( x,y) =(-4, 0) by using congruent property.

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What this paper is about

This paper proves that Diophantine equation x3+ 64 = 273y2 only has integer solution( x,y) =(-4, 0) by using congruent property.

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Available abstract

This paper proves that Diophantine equation x3+ 64 = 273y2 only has integer solution( x,y) =(-4, 0) by using congruent property.

Key concepts: Diophantine equation, Integer (computer science), Diophantine set, Mathematics, Legendre's equation, Thue equation, Combinatorics, Discrete mathematics

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