Abstract
In this paper, we prove that there are no positive integers a, b, c and d such that {P-a, P-b, P-c, P-d} is a Diophantine quadruple, where for a positive integer m, P-m is the mth Pell number.
- Title
- There are no Diophantine quadruples of Pell numbers
- Creators - without role
- Salah Eddine Rihane - University of Sciences and Technology Houari BoumedieneFlorian Luca - University of the WitwatersrandAlain Togbe - Purdue University Northwest
- Publication Details
- International journal of number theory, Vol.18(1), pp.27-45
- Publisher
- World Scientific
- Number of pages
- 19
- Grant note
- Purdue University Northwest
- Identifiers
- 9940385008331
- Academic Unit
- King Abdulaziz University
- Language
- English
- Resource Type
- Journal article