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Math Help - Composite numbers

  1. #1
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    Composite numbers

    For n > 2, show that all of the numbers

    n! + 2, n! + 3,......., n! + n

    are composite numbers.
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  2. #2
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    Quote Originally Posted by nurdynik View Post
    For n > 2, show that all of the numbers

    n! + 2, n! + 3,......., n! + n

    are composite numbers.


    If k\leq n\,,\,\,then\,\,n!+k=1\cdot 2\cdot \ldots\cdot k\cdot\ldots\cdot n+k is divisible by k...

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