Partial Sums of Powers of Prime Factors
Jean–Marie De Koninck, Florian Luca · 2007
Given integers k ≥ 2 and l ≥ 3, let S ∗ k,l stand for the set of those positive integers n which can be written as n = p k +p k +···+p k , where p1,p2,...,pl are distinct prime factors of n. We study the properties of the sets S ∗ and we show in particular that,