IJPAM: Volume 91, No. 1 (2014)
Department of Mathematics and Statistics
Faculty of Science and Technology
Thammasat University, Rangsit Center
Pathumthani, 12121, THAILAND
Abstract. In this paper, we show that is a unique non-negative integer solution for the Diophantine equation where and are non-negative integers. This result implies that is a solution for the Diophantine equation .
Received: January 14, 2014
AMS Subject Classification: 11D61
Key Words and Phrases: exponential Diophantine equation
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DOI: 10.12732/ijpam.v91i1.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395