Number Theory Course
This course builds essential number theory skills for cryptography, focusing on modular arithmetic, RSA encryption, and proof-writing through rigorous exercises and computations.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Number Theory Course provides a focused path from divisibility and modular arithmetic to RSA-style encryption with clear, rigorous proofs and hands-on computations. You will work through primes, Euler’s totient, Euler’s theorem, key generation, encryption and decryption, security principles, and best practices, then learn to present precise calculations and results in a polished final report.
Elevify advantages
Develop skills
- Modular arithmetic mastery: apply congruences, inverses, and residue systems fast.
- RSA key math: compute φ(n), d, and secure exponents with Euclidean algorithms.
- Prime and totient skills: use φ(n), λ(n), and primality tests in real cryptography.
- Encryption workflow: execute RSA encoding, modular exponentiation, and decryption.
- Proof-writing polish: present clean number-theoretic arguments for crypto reports.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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