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Math Help - Binomial Theorem

  1. #1
    Member
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    Nov 2009
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    Binomial Theorem

    Hey, another problem ,

    Let p be an odd prime and let n be a positive integer. Use the Binomial Theorem to show that

    1. (1 + p)^{p^{n-1}} \equiv 1 \mod p^n
    2. (1 + p)^{p^{n-2}} \not\equiv 1 \mod p^n .

    Edit: Found the solution, ask if you want to know it.
    Last edited by EinStone; March 12th 2010 at 04:18 AM. Reason: Found solution
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