Number Theory Course
This course builds foundational number theory skills for cryptography, covering modular arithmetic, primes, totients, RSA encryption/decryption, and proof-writing for secure systems.

from 4 to 360h 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, featuring clear, rigorous proofs and hands-on computations. You will 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
- Mastery of modular arithmetic: apply congruences, inverses, and residue systems quickly.
- RSA key mathematics: compute φ(n), d, and secure exponents using Euclidean algorithms.
- Skills in primes and totients: utilise φ(n), λ(n), and primality tests in practical cryptography.
- Encryption workflow: perform RSA encoding, modular exponentiation, and decryption.
- Polished proof-writing: present clear number-theoretic arguments for cryptography 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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