All Russian Olympiad 2009

For discussing Olympiad Level Number Theory problems
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Kazi_Zareer
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All Russian Olympiad 2009

Unread post by Kazi_Zareer » Tue Dec 20, 2016 11:03 am

Let $ x$, $ y$ be two integers with $ 2\le x, y\le 100$. Prove that $ x^{2^n} + y^{2^n}$ is not a prime for some positive integer $ n$.
We cannot solve our problems with the same thinking we used when we create them.

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