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Floor of prime powers

Posted: Fri Sep 12, 2014 10:20 pm
by mutasimmim
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

Posted: Fri Sep 12, 2014 11:47 pm
by Nirjhor
FLT