Are there any resources for questions on primitive roots?

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SUMMARY

This discussion focuses on resources for understanding primitive roots and the order of a modulo n, specifically for an elementary number theory course. Participants suggest various applications of these concepts, including encryptions, error-correcting codes, and prime tests. Standard algebra textbooks are recommended as foundational materials, although specific titles are not provided. The conversation highlights the need for more precise questions to facilitate better resource recommendations.

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  • Elementary number theory concepts
  • Understanding of modular arithmetic
  • Familiarity with encryption algorithms
  • Basic knowledge of error-correcting codes
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  • Research the concept of primitive roots in number theory
  • Explore the applications of modular arithmetic in cryptography
  • Study error-correcting codes and their mathematical foundations
  • Investigate prime testing algorithms and their significance
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Students of elementary number theory, educators seeking teaching resources, and anyone interested in the mathematical foundations of cryptography and coding theory.

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Does anyone know of any resources on questions on primitive roots and order of a modulo n? They need to be suitable for elementary number theory course. (These could be interesting results and challenging ones).
 
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I think I already did in a previous thread: encryptions, error correcting codes, DFFT, prime tests, or any basic algebra textbook. I don't remember details or a certain book, other than standard materials. The question is also very unspecific.
 
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