Number Theory Course
This course builds foundational number theory skills for cryptography, covering modular arithmetic, primes, Euler's theorems, and RSA encryption/decryption with emphasis on proofs and practical applications.

from 4 to 360h flexible workload
certificate valid 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 practical 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
- Modular arithmetic mastery: apply congruences, inverses, and residue systems quickly.
- RSA key mathematics: 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 cryptography reports.
Suggested summary
Before starting, you can change the chapters and 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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