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Thread: Exponent

  1. December 4th 2009, 11:22 PM #1
    Chandru1
    Chandru1 is offline
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    Exponent

    Let n(k) be defined as the highest power dividing (p^k)!. That is (p^ {n(k)} \mid (p^k)! but p^{n(k)+1} \nmid (p^k)!]. Prove that n(k)=1+p+p^{2}+....+p^{k}
    Last edited by Chandru1; December 5th 2009 at 11:09 PM.
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« numbers of partition p(n) | number of factorisations »

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