The Exponential Diophantine Equation 41m2+x+5m2-1y=(3m) z

Juanli Su and Xiaoxue Li

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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 41m2+x + 5m2-1y=(3m) z has only the positive integer solution (x, y, z) = (1, 1, 2).

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/670175

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:670175

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().