Showing 2015Show all
3 papers · 1 filter
math.NT2015
Pell Numbers with Lehmer property
Bernadette Faye, Florian Luca
In this paper, we prove that there is no number with the Lehmer property in the sequence of Pell numbers.
math.NT2015
Pell Numbers whose Euler Function is a Pell Number
Bernadette Faye, Florian Luca
In this paper, we show that the only Pell numbers whose Euler function is also a Pell number are and .
math.NT2015
Lucas Numbers with Lehmer Property
Bernadette Faye, Florian Luca
A composite positive integer n is Lehmer if ϕ(n) divides n-1, where ϕ(n) is the Euler's totient function. No Lehmer number is known, nor has it been proved that they don't exist. I…