IJPAM: Volume 84, No. 2 (2013)

MORE ON THE DIOPHANTINE EQUATION 2x + 3y = z2

Banyat Sroysang
Department of Mathematics and Statistics
Faculty of Science and Technology
Thammasat University
Rangsit Center
Pathumthani 12121, THAILAND


Abstract. In this paper, we present a completed proof that (0,1,2), (3,0,3) and (4,2,5) are only three solutions for the Diophantine equation 2x + 3y = z2 where x,y and z are non-negative integers.

Received: December 12, 2013

AMS Subject Classification: 11D61

Key Words and Phrases: exponential Diophantine equation

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DOI: 10.12732/ijpam.v84i2.11 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: 2