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Found problems: 1

2020 International Zhautykov Olympiad, 1
Given natural number n such that, for any natural $a,b$ number $2^a3^b+1$ is not divisible by $n$.Prove that $2^c+3^d$ is not divisible by $n$ for any natural $c$ and $d$
order zhautykov number theory euler s phi function prime number modular arithmetic prime numbers proof by contradiction