IJPAM: Volume 84, No. 1 (2013)
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