Counting divisors of Lucas numbers
Pieter Moree · Pacific Journal of Mathematics · 1998
The Lucas numbers L n are defined by L 0 = 2, L 1 = 1 and the recurrence L n = L n-1 + L n-2 .An estimate for the number of m ≤ x such that m divides some Lucas number is established.This estimate has error of order x log -1 x for every > 0.