In this program
- Divisibility and congruences
- Classical theorems and functions
- Diophantine equations and cryptography
Diophantine equations and cryptography
Number theory · Theoretical / proof-based
Pythagorean triples
Objectives
- Pythagorean triples
- Primitive solutions
- Sums of two squares (introduction)
- Continued fractions (optional topic)
- RSA and public-key cryptography from number-theoretic primitives
- Introduction to algebraic number theory: Gaussian integers (optional)
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard