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Math Help - Wilson's Theorem

  1. #1
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    Wilson's Theorem

    Using Wilson's theorem, find the least positive residue of 8*9*10*11*12*13 modulo 7.

    I cant really imply "6!=-1(mod 7)" in this question, how do i use it?
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  2. #2
    Senior Member vincisonfire's Avatar
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    8 mod 7 = 1
    9 mod 7 = 2
    ...
    13 mod 7 = 6
    8*9*10*11*12*13 mod 7 = 6! mod 7 = -1
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