Abstract: The positive integer solution of the Diophantine equation is studied. Using the elementary and the theory of congruence, Diophantine equation x^3-8=py^2 is proved, when p is an odd prime p=3(24k+19) (24k+20)+1 and k is non-negative integer, then the equation has no positive integer solutions. A necessary condition of Diophantine equation x^3-8=py^2 has no positive integer solutions is given.
Publication Year: 2010
Publication Date: 2010-09-30
Language: en
Type: article
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