Bir Kafle, Salah Eddine Rihane and Alain Togbé
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 1, Pages 161–170
DOI: 10.7546/nntdm.2021.27.1.161170
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Authors and affiliations
Bir Kafle
Department of Mathematics, Statistics, and Computer Science
Purdue University Northwest
1401 S, U.S. 421, Westville IN 46391, USA
Salah Eddine Rihane
Department of Mathematics and Computer Science
Abdelhafid Boussouf University
Mila 43000, Algeria
Alain Togbé
Department of Mathematics and Computer Science
Abdelhafid Boussouf University
Mila 43000, Algeria
Abstract
In this paper, we determine all the Mersenne numbers which are in the sequences of Padovan and Perrin numbers, respectively.
Keywords
 Padovan numbers
 Perrin numbers
 Mersenne numbers
 Linear form in logarithms
 Reduction method
2010 Mathematics Subject Classification

 11B39
 11D45
 11J86
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Cite this paper
Kafle, B., Rihane, S. E., & Togbé, A. (2021). A note on Mersenne Padovan and Perrin numbers. Notes on Number Theory and Discrete Mathematics, 27(1), 161170, DOI: 10.7546/nntdm.2021.27.1.161170.