MathDB
Nice divisibility involving powers of 3

Source: Komal A 818

March 19, 2022
number theory

Problem Statement

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.
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