Number theory/Intermediate

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

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

Resources

Classes

• AoPS Intermediate Number Theory Seminar

See also

• Number theory
• Introductory number theory
• Advanced topics in number theory
• Olympiad number theory