On the Diophantine Equation x(2)+5(a) . p(b) = y(n)

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Demirci M.

FILOMAT, vol.31, pp.5263-5269, 2017 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 31
  • Publication Date: 2017
  • Doi Number: 10.2298/fil1716263d
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5263-5269
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, all the solutions of the Diophantine equations x(2) + 5(a) . p(b) = y(n) (for p = 29; 41) are given for nonnegative integers a; b; x; y; n >= 3 with x and y coprime.