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Math Help - legendre symbols

  1. #1
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    legendre symbols

    Suppose that p = 87k +4 is prime prove
    (29/p)=1
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  2. #2
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    Quote Originally Posted by scubasteve123 View Post
    Suppose that p = 87k +4 is prime prove
    (29/p)=1

    As is easy to see that p\equiv 4\!\!\!\pmod {29} and 29\equiv 1\!\!\!\pmod 4, we get by Gauss that \left(\begin{array}{c}29\\p\end{array}\right)=\lef  t(\begin{array}{c}p\\29\end{array}\right)=\left(\b  egin{array}{c}4\\29\end{array}\right)=1

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