On the Odd Prime Solutions of the Diophantine Equation xy+yx=zz

Using the elementary method and some properties of the least solution of Pell’s equation, we prove that the equation xy+yx=zz has no positive integer solutions (x,y,z) with x and y being odd primes.

Saved in:
Bibliographic Details
Main Authors: Yuanyuan Deng, Wenpeng Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/186416
Tags: Add Tag
No Tags, Be the first to tag this record!