IJPAM: Volume 84, No. 1 (2013)

ON THE DIOPHANTINE EQUATION 7x + 8y = z2

Banyat Sroysang
Department of Mathematics and Statistics
Faculty of Science and Technology
Thammasat University, Rangsit Center
Pathumthani 12121, THAILAND


Abstract. In this paper, we show that the Diophantine equation 7x + 8y = z2 has a unique non-negative integer solution. The solution (x,y,z) is (0,1,3).

Received: December 16, 2012

AMS Subject Classification: 11D61

Key Words and Phrases: exponential Diophantine equation

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DOI: 10.12732/ijpam.v84i1.8 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 1