On the Diophantine equation x(2)+5(a) 13(b) = y(n)

Fadwa S. Abu Muriefah; Florian Luca; Alain Togbe

doi:10.1017/S0017089507004028

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On the Diophantine equation x(2)+5(a) 13(b) = y(n)

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On the Diophantine equation x(2)+5(a) 13(b) = y(n)

Fadwa S. Abu Muriefah, Florian Luca and Alain Togbe

Glasgow mathematical journal, Vol.50(1), pp.175-181

01/01/2008

DOI: https://doi.org/10.1017/S0017089507004028

Abstract

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In this note, we find all the solutions of the Diophantine equation x(2) + 5(a) 13(b) = y(n) in positive integers x, y, a, b, n >= 3 with x and y coprime.

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Title: On the Diophantine equation x(2)+5(a) 13(b) = y(n)
Creators - without role: Fadwa S. Abu Muriefah - Riyadh Univ Girls, Dept Math, Riyadh 11555, Saudi Arabia
Florian Luca - Univ Nacl Autonoma Mexico, Inst Matemat, Morelia, Michoacan, Mexico
Alain Togbe - Purdue Univ, Dept Math, Westerville, IN 46391 USA
Publication Details: Glasgow mathematical journal, Vol.50(1), pp.175-181
Publisher: Cambridge Univ Press
Number of pages: 7
Identifiers: 9927719108331
Academic Unit: Princess Nourah bint Abdulrahman University; King Abdulaziz University
Language: English
Resource Type: Journal article