1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Primitive roots

  1. Dec 7, 2004 #1
    let g be a primitive root of the odd prime p
    show that -g is a primitive root or not according as
    p==1 ( mod 4) or p==3(mod4)

    how would i start in solving this problem
    thanks
    :cool:
     
  2. jcsd
  3. Dec 7, 2004 #2
    For p==1 Mod 4, there exists an X such that X^2 ==-1 Mod p. This is not true for p==3 Mod 4. If x is a primitive root then x^((p-1)/2) = -1 since the smallest power of x that is 1 Mod p is x^(p-1). So, those are the facts needed.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Primitive roots
  1. Primitive function (Replies: 2)

  2. Primitive roots? (Replies: 7)

  3. Length of primitive cell (Replies: 24)

Loading...