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has been cited by the following article:

• TITLE: Non-Negative Integer Solutions of Two Diophantine Equations 2x + 9y = z2 and 5x + 9y = z2

  AUTHORS: Md. Al-Amin Khan, Abdur Rashid, Md. Sharif Uddin

  KEYWORDS: Exponential Diophantine Equation, Integer Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.4, April 27, 2016

  ABSTRACT: In this paper, we study two Diophantine equations of the type px + 9y = z2 , where p is a prime number. We find that the equation 2x + 9y = z2 has exactly two solutions (x, y, z) in non-negative integer i.e., {(3, 0, 3),(4, 1, 5)} but 5x + 9y = z2 has no non-negative integer solution.