Open Access
2014 The Exponential Diophantine Equation 4m2+1x+5m2-1y=(3m)z
Juanli Su, Xiaoxue Li
Abstr. Appl. Anal. 2014: 1-5 (2014). DOI: 10.1155/2014/670175


Let m be a positive integer. In this paper, using some properties of exponential diophantine equations and some results on the existence of primitive divisors of Lucas numbers, we prove that if m>90 and 3|m, then the equation 4m2+1x + 5m2-1y=(3m)z has only the positive integer solution (x,y,z)=(1,1,2).


Download Citation

Juanli Su. Xiaoxue Li. "The Exponential Diophantine Equation 4m2+1x+5m2-1y=(3m)z." Abstr. Appl. Anal. 2014 1 - 5, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

MathSciNet: MR3198228
Digital Object Identifier: 10.1155/2014/670175

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
Back to Top