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
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
Download paper from here.
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