On Generalized Mersenne Numbers and Extended Fermat Numbers

Authors

  • Shefa A. Bani Melhem Mathematics Department, Yarmouk University, Irbid, Jordan
  • Ala'a Al-Kateeb Mathematics Department, Yarmouk University, Irbid, Jordan
  • Afnan Dagher Mathematics Department, Yarmouk University, Irbid, Jordan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6605

Keywords:

Mersenne and Fermat numbers, Generating function, Binet formula, key exchange and authentication protocols

Abstract

In this paper, we study a generalization of Mersenne numbers and we introduce an extension of Fermat numbers, we find their generating functions binet formulas, related matrix representation and many other properties. Also, we provide some applications in cryptography 

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Published

2025-11-05

Issue

Section

Number Theory

How to Cite

On Generalized Mersenne Numbers and Extended Fermat Numbers. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6605. https://doi.org/10.29020/nybg.ejpam.v18i4.6605