4. Given that 5 is a primitive root of 17, find the smallest positive integer x such that 6* = 10 (mod 17). 5. Given that 8 has order 12 modulo 37, find all integers between 1 and 37 that have order 12 (mod 37). 6. Given that 2 is a primitive root of 25, find all primitive roots of 25 between 1 and 25.

4. Given that 5 is a primitive root of 17, find the smallest positive integer x such that 6* = 10 (mod 17). 5. Given that 8 has order 12 modulo 37, find all integers between 1 and 37 that have order 12 (mod 37). 6. Given that 2 is a primitive root of 25, find all primitive roots of 25 between 1 and 25.

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 29E: 29. Find the least positive integer that is congruent to the given sum, product, or power. a. ...

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