Explore BrainMass

Quadratic Reciprocity Law

Prove, using the quadratic reciprocity law that

(3/p) = 1 if p== 1 or 11 (mod 12)
(3/p) = -1 if p==5 or 7 (mod12)

for each odd prime p.

Solution Summary

The Quadratic Reciprocity Law is invesigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.