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On the Diophantine equation

Authors :
Wang, Yongxing
Wang, Tingting
Source :
Journal of Number Theory. Aug2011, Vol. 131 Issue 8, p1486-1491. 6p.
Publication Year :
2011

Abstract

Abstract: Let n be a fixed odd integer with . In this paper, using a recent result on the existence of primitive divisors of Lehmer numbers give by Y. Bilu, G. Hanrot and P.M. Voutier, we prove that the equation has no positive integer solution with . [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0022314X
Volume :
131
Issue :
8
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
60223744
Full Text :
https://doi.org/10.1016/j.jnt.2011.02.014