Number theory/Intermediate

An intermediate level study of number theory involves many of the topics of introductory number theory, but involves an infusion of mathematical problem solving as well as algebra:

• Diophantine equations
  • Pell equations
  • Simon's Favorite Factoring Trick
• Euclidean algorithm
• Modular arithmetic
  • Linear congruence
    • Chinese Remainder Theorem
  • Euler's Totient Theorem
  • Fermat's Little Theorem
  • Wilson's Theorem

See also

• Number theory
• Introductory number theory
• Olympiad number theory