IJPAM: Volume 103, No. 2 (2015)
ON THE DIOPHANTINE EQUATION

Mongkol Tatong
, Alongkot Suvarnamani
Department of Mathematics
Faculty of Science and Technology
Rajamangala University of Technology Thanyaburi (RMUTT)
Thanyaburi, Pathum Thani, 12110, THAILAND



Faculty of Science and Technology
Rajamangala University of Technology Thanyaburi (RMUTT)
Thanyaburi, Pathum Thani, 12110, THAILAND
Abstract. In this paper, we found that the Diophantine equation
has no non-negative integer solution where
is a Mersenne prime number which
and
,
and
are non-negative integers.
Received: August 21, 2014
AMS Subject Classification: 11D61
Key Words and Phrases: diophantine equations, exponential equations
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DOI: 10.12732/ijpam.v103i2.1 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: 2015
Volume: 103
Issue: 2
Pages: 155 - 158
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