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Math Help - Wilson's theorem proof

  1. #1
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    Wilson's theorem proof

    Hello!

    My question is simple: What do you think my own Wilson's theorem proof? http://benmartin.winportal.net/wilson.pdf Is that mathematically correct or isn't it?

    Thank you
    Ben
    Last edited by mr fantastic; July 15th 2009 at 07:55 AM. Reason: Replaced smiley from external website
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  2. #2
    Super Member PaulRS's Avatar
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    Why is p^{\epsilon}\cdot x \equiv{(n-1)!} (\bmod.n) true ?

    If you had proved that, it'd been correct, but you see, you chose a number p and said that p^{\epsilon}\cdot x \equiv{n-1} (\bmod.n) is solvable, but that tells you nothing about (n-1)! .

    Having \epsilon_{p}(n)<n-1 doesn't influence the fact that the congruence p^{\epsilon}\cdot x \equiv{(n-1)} (\bmod.n) has solutions if (p,n)=1.
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