Let a be a non-zero element of Z43.w| 42.Show that [3] is a primitive root of Z43 and that [2] is not a primitive root of Z43.

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Answered: Let a be a non-zero element of Z43. w|…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.3: Divisibility

Problem 30E: Let be as described in the proof of Theorem. Give a specific example of a positive element of .

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Let a be a non-zero element of Z43. w| 42. Show that [3] is a primitive root of Z43 and that [2] is not a primitive root of Z43.