MathDB

Ez Number Theory

Source: IMO SL 2018 N1

July 17, 2019

number theoryArithmetic FunctionIMO Shortlistnumber of divisors2018divisor

Problem Statement

Determine all pairs

(n, k)

of distinct positive integers such that there exists a positive integer

s

for which the number of divisors of

sn

and of

sk

are equal.