Quote:
Originally Posted by Happy5214
If I'm understanding you right, you're saying there are no, say, cubic nonresidues. Well 4 is a cubic nonresidue modulo 7 (there is no x where x^3=4 (mod 7)).

Exercise for the O.P.
If p = 1 mod 6, how many cubic residues does it have? how many nonresidues?
What about p = 1 mod 6? Did you bother at all to even try to answer your own question?
Do us all a favor. Don't come back until you take the time to actually do some reading
about this subject. And if you can't be bothered, then don't come back at all.
Your question could have been answered with 15 seconds of thought. But of course
you could not be bothered.