A. Filipin

activity

20162026

most citedFibonacci and Lucas numbers as products of three repdigits in base

g

3 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 3 cited

Fibonacci and Lucas numbers as products of three repdigits in base $g$

Kouessi Norbert Adedji, Alan Filipin, Alain Togbe

Recall that repdigit in base $g$ is a positive integer that has only one digit in its base $g$ expansion, i.e. a number of the form $a (g^{m} - 1) / (g - 1)$ , for some positive integers $m\…

math.NT2022★ 1 cited

Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$

Kouessi Norbert Adedji, Alan Filipin, Salah Eddine Rihane +1

Let $b$ be a positive integer such that $2 \leq b \leq 10$ . In this study, we find all Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$ . As a corollary, it…

math.NT2022

On the $D (4)$ -pairs ${a, k a}$ with $k \in {2, 3, 6}$

Kouèssi Norbert Adédji, Marija Bliznac Trebješanin, Alan Filipin +1

Let $a$ and $b = k a$ be positive integers with $k \in {2, 3, 6},$ such that $ab + 4$ is a perfect square. In this paper, we study the extensibility of the $D (4)$ -pairs ${a, k a} .$ Mo…

Fibonacci and Lucas numbers as products of three repdigits in base g

Pell or Pell-Lucas numbers as concatenations of two repdigits in base b

On the D(4)-pairs {a,ka} with k∈{2,3,6}

Fibonacci and Lucas numbers as products of three repdigits in base $g$

Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$

On the $D (4)$ -pairs ${a, k a}$ with $k \in {2, 3, 6}$