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Prove that if p is a prime and a² = 6² (mod p), then either a = b (mod p) or a = −b (mod p).

Prove that if p is a prime and a² = 6² (mod p), then either a = b (mod p) or a = −b (mod p).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 5E: Prove that if p and q are distinct primes, then there exist integers m and n such that pm+qn=1.
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Prove that if p is a prime and a² = 6² (mod p), then either a = b (mod p) or a = −b (mod p).
Transcribed Image Text:Prove that if p is a prime and a² = 6² (mod p), then either a = b (mod p) or a = −b (mod p).
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