The simultaneous diophantine equations У2-5x2=4 and z2-442x2=441
Joint Authors
Abu Muriefah, Fadwa S.
al-Rashid, Amal
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 31, Issue 2A (31 Jul. 2006), pp.207-211, 5 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2006-07-31
Country of Publication
Saudi Arabia
No. of Pages
5
Main Subjects
Abstract AR
إن الأعداد 1، 5، 442 تحقق خاصية أن حاصلة ضرب اثنين مختلفين منها مطروحا منه 1 يساوي مربعا تاما.
و سوف نبرهن في هذا البحث على أنه لا يوجد عدد آخر يحقق هذه الخاصية مع تلك الأعداد.
Abstract EN
The three numbers 1, 5, and 442 have the property that the product of any two numbers decreased by 1 is a perfect square.
In this paper it is proved that there is no other positive integer which shares this property with 1, 5, and 442.
Mathematics Subject Classification: Primary 11D09, 11D25, Secondary 11B37, 11J68, 11J86, 11Y50.
American Psychological Association (APA)
Abu Muriefah, Fadwa S.& al-Rashid, Amal. 2006. The simultaneous diophantine equations У2-5x2=4 and z2-442x2=441. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 31, no. 2A, pp.207-211.
https://search.emarefa.net/detail/BIM-345447
Modern Language Association (MLA)
Abu Muriefah, Fadwa S.& al-Rashid, Amal. The simultaneous diophantine equations У2-5x2=4 and z2-442x2=441. The Arabian Journal for Science and Engineering. Section A, Science Vol. 31, no. 2A (Jul. 2006), pp.207-211.
https://search.emarefa.net/detail/BIM-345447
American Medical Association (AMA)
Abu Muriefah, Fadwa S.& al-Rashid, Amal. The simultaneous diophantine equations У2-5x2=4 and z2-442x2=441. The Arabian Journal for Science and Engineering. Section A, Science. 2006. Vol. 31, no. 2A, pp.207-211.
https://search.emarefa.net/detail/BIM-345447
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 211
Record ID
BIM-345447