On the Diophantine Equation X2 + 13K = YN

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Authors

  • Abdelkader Hamtat
     A.T.N. Laboratory, USTHB University Algiers ,DZ
  • Djilali Behloul
     A.T.N. Laboratory, USTHB University Algiers ,DZ

DOI:

https://doi.org/10.18311/jims/2017/15570

Keywords:

Primitive Divisor Theorem of Carmicheal, Theorem of Catalan, Nagell Equation

Abstract

The object of this paper is to find all solutions of the dio-phantine equation x2 + 13k = yn, in positive integers x, y with n ≥ 3.

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Published

2017-07-01

How to Cite

Hamtat, A., & Behloul, D. (2017). On the Diophantine Equation X<sup>2</sup> + 13<sup>K</sup> = Y<sup>N</sup>. The Journal of the Indian Mathematical Society, 84(3-4), 191–200. https://doi.org/10.18311/jims/2017/15570

Issue

Volume 84, Issue 3-4, July-December 2017

Section

Articles

License

Copyright (c) 2017 Abdelkader Hamtat, Djilali Behloul

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2017-02-23
Accepted 2017-02-23
Published 2017-07-01

 

References

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