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Math Help - A problem about binomial coefficient

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    A problem about binomial coefficient

    Prove that , for most of the primes p ,  \binom{kp}{p} \equiv k \bmod{p^3} , k \in \mathbb{N} and also find all the exceptional prime(s) .
    Last edited by mr fantastic; June 28th 2010 at 09:05 PM. Reason: Moved from Puzzles subforum.
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