MathDB
Most trivial TST NT ever seen

Source: Latvia BW TST 2021 P15

September 26, 2021
number theorytrivial

Problem Statement

Denote by s(n)s(n) the sum of all natural divisors of nn which are smaller than nn. Does there exist a positive integer aa such that the equation s(n)=a+ns(n)=a+n has infinitely many solutions in positive integers?
Back to ProblemsView on AoPS