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MathNet 2015-part-05 — 191 problems (EN–VI) Question 113

Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)

Question 113

Solve the equation in the set of non-negative integers
$$
\left(2^{2015}+1\right)^{x}+2^{2015}=2^{y}+1.
$$