(()) b) Use part a) to find an integer that satisfies the congruence x² = -1 (mod 17) a) Prove that if p is prime and p = 1 (mod 4), then = -1 (mod p)
(()) b) Use part a) to find an integer that satisfies the congruence x² = -1 (mod 17) a) Prove that if p is prime and p = 1 (mod 4), then = -1 (mod p)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 51E: In the congruences ax b (mod n) in Exercises 40-53, a and n may not be relatively prime. Use the...
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