Consider the multiplicative group ℤ∗8663. a) How many primitive elements does this group have? b) What is the probability that a randomly chosen member of this group is a primitive element?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.5: Permutations And Inverses
Problem 3E
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Consider the multiplicative group ℤ∗8663.

a) How many primitive elements does this group have?

b) What is the probability that a randomly chosen member of this group is a primitive element?

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