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Download PDFOpen PDF in browserSolutions to the Diophantine Equation p3x = z2 − 17 for Odd Primes pEasyChair Preprint 140545 pages•Date: July 20, 2024AbstractIn this paper, we investigate the solutions to the Diophantine equation p3x = z2 − 17, where p is a fixed odd prime, and x and z are positive integers. We examine specific cases and provide a detailed analysis of the solutions. Notably, one solution is given by (p, x, z) = (2, 1, 5). This study contributes to the broader understanding of the behavior of such equations and their integer solutions. Keyphrases: Prime number, integer, odd prime Download PDFOpen PDF in browser |
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