Answered: Let p be an odd prime and let g be a…

Let p be an odd prime and let g be a primitive root modulo p. Prove that a has a square root modulo p if and only if its discrete logarithm logg(a) modulo p−1 is even.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let p be an odd prime and let g be a primitive root modulo p. Prove that a has a square root modulo p if and only if its discrete logarithm logg(a) modulo p−1 is even.

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