Type: Article

Repdigits as Euler functions of Lucas numbers

Bravo, J. J; Faye, B; Luca, F; Tall, A.;

Abstract:

We prove some results about the structure of all Lucas numbers whose Euler function is a repdigit in base 10. For example, we show that if L-n is such a Lucas number, then n < 10(111) is of the form p or p(2), where p(3) vertical bar 10(P-1) - 1.