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June 15th, 2018, 08:20 AM   #1
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What is the most motivating way to introduce primitive roots?

I am teaching elementary number theory to first year undergraduate students. How do introduce the order of an integer modulo n and primitive roots? How do I make this a motivating topic and are there any applications of this area? I am looking at something which will have an impact.
The answer should not rely on group theory as they have not covered anything like that in their course so far.
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