Recent content by Lexaila

  1. Lexaila

    Quadratic Residue and Quadratic Reciprocity Law QRL

    Thank you, it solves that question! But if I have a different example, such as ( (p+3)/2 /p) = (2/p)(3/p) and when I try to use ##\left(\dfrac{2}{p}\right)=(-1)^{\frac{p^2-1}8}##, ##\left(\dfrac{3}{p}\right)=\left(\dfrac{p}{3}\right)(-1)^{\frac{p-1}2}(-1)^{\frac{3-1}2}## for, for example, p...
  2. Lexaila

    Quadratic Residue and Quadratic Reciprocity Law QRL

    I'm still a bit confused, could you please give me an example from the table?
  3. Lexaila

    Quadratic Residue and Quadratic Reciprocity Law QRL

    Thank you for your reply! In our table we must also use QRL+- in between (2/p) and (3/p). I understand how to fill the rest of the table with 1 and -1, but not this QRL+- column and how it determines the final result of (p-6/p)...
  4. Lexaila

    Quadratic Residue and Quadratic Reciprocity Law QRL

    How do we make the table to show that p-6 is a quadratic residue modulo p if p \equiv 1,5,7,11 (mod 24)?
  5. Lexaila

    Quadratic Residue and Quadratic Reciprocity Law QRL

    (p-6/p)=(-1/p)(2/p)(3/p) Make a table, so at the head row you have p(mod24), (-1/p), (2/p), QRL+-, (p/3) and finally (p-6/p), with in the head column below p (mod 24): 1,5,7,11
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