MathDB
3mk=3(m+3)^n+1

Source: 2016 Thailand October Camp 1.4

February 26, 2022
number theoryDiophantine equation

Problem Statement

Suppose that m,n,km, n, k are positive integers satisfying 3mk=(m+3)n+1.3mk=(m+3)^n+1. Prove that kk is odd.