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Solutions to the Diophantine Equation p3x = z2 − 17 for Odd Primes p

EasyChair Preprint 14054

5 pagesDate: July 20, 2024

Abstract

In 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

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@booklet{EasyChair:14054,
  author    = {Budee U Zaman},
  title     = {Solutions to the Diophantine Equation p3x = z2 − 17 for Odd Primes p},
  howpublished = {EasyChair Preprint 14054},
  year      = {EasyChair, 2024}}
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