Number Theory Course
This course builds foundational number theory skills for cryptography, covering modular arithmetic, primes, Euler's theorems, and RSA encryption with practical computations and proof-writing.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Number Theory Course provides a focused pathway from divisibility and modular arithmetic to RSA-style encryption, featuring clear, rigorous proofs and hands-on computations. You'll explore 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 quickly.
- RSA key maths: compute φ(n), d, and secure exponents using Euclidean algorithms.
- Prime and totient skills: utilise φ(n), λ(n), and primality tests in practical cryptography.
- Encryption workflow: perform RSA encoding, modular exponentiation, and decryption.
- Proof-writing polish: present clear 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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