7. Let p and q be primes and suppose that p = 2q + 1. Let h E F and assume that h 1. Pre that ² h (mod p) has a solution if and only if the order of h is q.. E

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 37E
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7. Let p and q be primes and suppose that p = 2q + 1. Let h E F and assume that h 1. Prove
that ² h (mod p) has a solution if and only if the order of h is q.
E
Transcribed Image Text:7. Let p and q be primes and suppose that p = 2q + 1. Let h E F and assume that h 1. Prove that ² h (mod p) has a solution if and only if the order of h is q. E
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