On Fermat and Mersenne numbers expressible as product of two k-Fibonacci numbers

被引：1

作者：

Hernane, Mohand O. ^{[1
]}

Rihane, Salah Eddine ^{[2
]}

Seffah, Safia ^{[1
]}

Togbe, Alain ^{[3
]}

机构：

[1] Univ Sci & Technol Houari Boumadienne, Math Inst, BP 32, Algiers 16111, Algeria

[2] Univ Ctr Mila, Inst Sci & Technol, Dept Math, Mila, Algeria

[3] Purdue Univ Northwest, Dept Math & Stat, 1401 S,US 421, Westville, IN 46391 USA

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2022年 / 28卷 / 02期

关键词：

k-Fibonacci numbers; Fermat numbers; Mersenne numbers; Linear form in logarithms; Reduction method; REPDIGITS; SUMS;

D O I：

10.1007/s40590-022-00429-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k >= 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, ..., 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.

引用

页数：12

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