2.5. 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 log, (a) modulo p-1 is even.
2.5. 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 log, (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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![2.5. 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 log, (a) modulo p - 1
is even.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61d5445b-cc3f-4081-98be-0d471f001185%2F157919a8-7ab7-4b03-a69e-754384b732d5%2Fkt1z6o_processed.png&w=3840&q=75)
Transcribed Image Text:2.5. 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 log, (a) modulo p - 1
is even.
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