4. Let p be an odd prime, and a, b primitive roots mod p. Show that ab is not a primitive root 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 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
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4. Let p be an odd prime, and a, b primitive roots mod p. Show that ab is
not a primitive root mod p.
Transcribed Image Text:4. Let p be an odd prime, and a, b primitive roots mod p. Show that ab is not a primitive root mod p.
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