Problem
Christmas Contest - Individual Round - Problem 17
Find the sum of all primes p such that there exists a positive integer a such that
\left \lfloor \dfrac{a}{p} \right \rfloor+\left \lfloor \dfrac{2a}{p} \right \rfloor+\cdots+\left \lfloor \dfrac{pa}{p} \right \rfloor = 100.
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