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Math Help - Find every integer k s.t. k>=3 and k-2 divides 2k

  1. #1
    Junior Member
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    Find every integer k s.t. k>=3 and k-2 divides 2k

    Find every integer k s.t. k>=3 and k-2 divides 2k

    Any help?
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  2. #2
    Senior Member
    Joined
    Nov 2008
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    Paris
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    Hi

    You can use this: let n,m be two different positive integers, n|m iff there is an integer k\geq 2 such that n=km.
    So, with the same hypothesis, n|m\Rightarrow n\leq \frac{m}{2}
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