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n|1+m^(3^n)+m^(2*3^n)

Source: 2017 Thailand October Camp 3.3

February 25, 2022
number theoryDivisibilityBulgaria

Problem Statement

Find all pairs of integers m,n≥2m, n \geq 2 such that n∣1+m3n+m2⋅3n.n\mid 1+m^{3^n}+m^{2\cdot 3^n}.
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