Herbert Batte

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20212026

most citedOn the Largest Prime factor of the k-generalized Lucas numbers

1 citations · 2 across the 19 of their papers we have counts for

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math.GM2023

Lucas numbers that are palindromic concatenations of two distinct repdigits

Herbert Batte

Let ${L_{n}}_{n \geq 0}$ be the sequence of Lucas numbers. In this paper, we determine all Lucas numbers that are palindromic concatenations of two distinct repdigits.

math.NT2023

Multiplicative independence in the sequence of $k$ -generalized Lucas numbers

Herbert Batte, Mahadi Ddamulira, Juma Kasozi +1

Let $(L_{n}^{(k)})_{n \geq 2 - k}$ be the sequence of $k$ -generalized Lucas numbers for some fixed integer $k \geq 2$ , whose first $k$ terms are $0, \dots, 0, 2, 1$ and each term a…

math.NT2023★ 1 cited

On the Largest Prime factor of the k-generalized Lucas numbers

Herbert Batte, Florian Luca

Let $(L_{n}^{(k)})_{n \geq 2 - k}$ be the sequence of $k$ --generalized Lucas numbers for some fixed integer $k \geq 2$ whose first $k$ terms are $0, \dots, 0, 2, 1$ and each term afterwards…

Lucas numbers that are palindromic concatenations of two distinct repdigits

Multiplicative independence in the sequence of k-generalized Lucas numbers

On the Largest Prime factor of the k-generalized Lucas numbers

Multiplicative independence in the sequence of $k$ -generalized Lucas numbers