MathDB
arithmetic mean of all positive divisors of number n = p^a q^b is integer

Source: 2002 Romania JBMO TST 5.4

May 31, 2020
number theoryDivisorsInteger

Problem Statement

Let p,qp, q be two distinct primes. Prove that there are positive integers a,ba, b such that the arithmetic mean of all positive divisors of the number n=paqbn = p^aq^b is an integer.
Back to ProblemsView on AoPS