The Exponential Diophantine Equation 4 m 2 + 1 x + 5 m 2 - 1 y = ( 3 m ) z
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-09
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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 4 m 2 + 1 x + 5 m 2 - 1 y = ( 3 m ) z has only the positive integer solution ( x , y , z ) = ( 1 , 1 , 2 ) .
American Psychological Association (APA)
Su, Juanli& Xiaoxue, Li. 2014. The Exponential Diophantine Equation 4 m 2 + 1 x + 5 m 2 - 1 y = ( 3 m ) z. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014542
Modern Language Association (MLA)
Su, Juanli& Xiaoxue, Li. The Exponential Diophantine Equation 4 m 2 + 1 x + 5 m 2 - 1 y = ( 3 m ) z. Abstract and Applied Analysis No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1014542
American Medical Association (AMA)
Su, Juanli& Xiaoxue, Li. The Exponential Diophantine Equation 4 m 2 + 1 x + 5 m 2 - 1 y = ( 3 m ) z. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1014542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014542