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Math Help - Quadratic residue mod 32767

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    Quadratic residue mod 32767

    Show, without(!) using Jacobi(or Legendre) Symbol, that:

    1) 12345 is a quadratic non residue modulo 32767.
    2) 23456 is a quadratic non residue modulo 32767. Why does the Jacobi symbol result in a 1?

    EDIT: there was a mistake I fixed it.
    Last edited by EinStone; March 11th 2010 at 04:04 AM.
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