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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 8, Pages 493-497
doi:10.1155/S0161171201006445

On the Diophantine equation x3=dy2±q6

Fadwa S. Abu Muriefah

Mathematics Department, Girls College of Education, Riyadh, Saudi Arabia

Abstract

Let q>3 denote an odd prime and d a positive integer without any prime factor p≡1(mod3). In this paper, we have proved that if (x,q)=1, then x3=dy2±q6 has exactly two solutions provided q≢±1(mod24).