Answer to Question #161080 in Abstract Algebra for Geek

Question

Evaluate the Jacobi symbol (79/661).

Answer 1

Solution:

By using definition of Jacobi symbol:

$(79/661) = (29/79) = (21/29) = (8/21) = -(4/21) = (2/21) = -(1/21) = -1$

Thus, answer is -1.