Floor of prime powers
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- Posts:107
- Joined:Sun Dec 12, 2010 10:46 am
Let $p,q$ be two distinct odd primes. Prove that $ \lfloor \frac {p^q+q^p}{pq} \rfloor$ is always even. Here $\lfloor \rfloor$ denotes the floor function.
Re: Floor of prime powers
- What is the value of the contour integral around Western Europe?
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.