MathDB

A. 818

Part of KoMaL A Problems 2021/2022

Problems(1)

Nice divisibility involving powers of 3

Source: Komal A 818

3/19/2022
Find all pairs of positive integers m,nm, n such that 9∣m−n∣+3∣m−n∣+19^{|m-n|}+3^{|m-n|}+1 is divisible by mm and nn simultaneously.
number theory