IJPAM: Volume 88, No. 2 (2013)
WHERE IS A MERSENNE PRIME
Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen, 40002, THAILAND
Abstract. In this paper we show that and are the only solutions to the Diophantine equation , where are non-negative integers and p is a Mersenne prime.
Received: May 22, 2013
AMS Subject Classification: 11D61
Key Words and Phrases: exponential Diophantine equation
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DOI: 10.12732/ijpam.v88i2.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395