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

Mathematics

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