Answer to Question #161083 in Abstract Algebra for Geek

Question #161083

Evaluate the Jacobi symbol (79/661).


1
Expert's answer
2021-02-24T07:36:48-0500

Solution:

By using definition of Jacobi symbol:

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

Thus, answer is -1.


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