Boletin de la Sociedad Matematica Mexicana, volume 28, issue 2, publication number 36
On Fermat and Mersenne numbers expressible as product of two k-Fibonacci numbers
Mohand O Hernane
1
,
Salah Eddine Rihane
2
,
Safia Seffah
1
,
Alain Togbé
3
1
Mathematics Institute, Université des Sciences et de la Technologie Houari Boumadienne, Bab Ezzouar, Algeria
|
2
Department of Mathematics, Institute of Science and Technology, University Center of Mila, Mila, Algeria
|
Publication type: Journal Article
Publication date: 2022-04-18
scimago Q2
SJR: 0.399
CiteScore: 1.6
Impact factor: 0.9
ISSN: 00378615, 1405213X, 22964495
General Mathematics
Abstract
Let $$k\ge 2$$ be an integer. A generalization of the well-known Fibonacci sequence is the k-Fibonacci sequence. For this sequence, the first k terms are $$0,\ldots ,0,1$$ and each term afterwards is the sum of the preceding k terms. The goal of this paper is to investigate the Fermat and Mersenne numbers having representation as product of two k-Fibonacci numbers.
Found
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