Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-19T10:28:35.317Z Has data issue: false hasContentIssue false
  • English
  • Français

The diophantine equation (X[X − 1])2 = 3Y[Y − 1]

Published online by Cambridge University Press:  18 May 2009

Manoranjitham Veluppillai
Manoranjitham Veluppillai
Affiliation:
Royal Holloway College, Englefield Green, Egham, Surrey
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The object of this paper is to prove that the only non-trivial solution in positive integers of the equation of the title is X = 3, Y = 4.

Substituting x = 2X – 1, y = 2Y – 1 gives with a little manipulation

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 17 , Issue 2 , July 1976 , pp. 130 - 133
Copyright
Copyright © Glasgow Mathematical Journal Trust 1976