What books or materials are needed to understand primitive roots?

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SUMMARY

This discussion focuses on resources for understanding primitive roots, specifically for prime numbers and their existence. The primary resource mentioned is "Elementary Number Theory and Its Applications" by Kenneth H. Rosen. Participants suggest that most introductory number theory or algebra textbooks will cover these topics, encouraging users to find a book that matches their learning style.

PREREQUISITES
  • Elementary Number Theory concepts
  • Understanding of prime numbers
  • Basic algebra knowledge
  • Familiarity with mathematical proofs
NEXT STEPS
  • Research additional textbooks on number theory, such as "An Introduction to the Theory of Numbers" by G.H. Hardy and E.M. Wright.
  • Explore online courses on number theory that cover primitive roots.
  • Study mathematical proofs related to the existence of primitive roots.
  • Watch educational videos on platforms like Khan Academy or Coursera focusing on number theory.
USEFUL FOR

Students of mathematics, educators teaching number theory, and anyone seeking to deepen their understanding of primitive roots and their applications.

mathstudent1
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do you know any books, videos, or notes that can help me to understand these topics:
1-primitive roots for primes
2-the existence of primitive roots
I am using right now elementary number theory and its application by Kenneth H. Rosen to understand these topics, do you know another source that can help me?
 
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mathstudent1 said:
do you know any books, videos, or notes that can help me to understand these topics:
1-primitive roots for primes
2-the existence of primitive roots
I am using right now elementary number theory and its application by Kenneth H. Rosen to understand these topics, do you know another source that can help me?
This one is quite good. Why do you need another one? In any case most introductory number theory or algebra books would have that. Look through some to find one that has style that suits you.
 

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