Number Theory Course
This course builds foundational number theory skills for cryptography, focusing on modular arithmetic, RSA encryption, and proof techniques through practical exercises and theoretical insights.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This Number Theory Course provides a clear path from divisibility and modular arithmetic to RSA-style encryption, with strong proofs and practical calculations. You will study primes, Euler’s totient, Euler’s theorem, key generation, encryption and decryption, security basics, and best practices, then learn to present accurate calculations and results in a neat final report.
Elevify advantages
Develop skills
- Master modular arithmetic: use congruences, inverses, and residue systems quickly.
- Handle RSA key calculations: find φ(n), d, and safe exponents using Euclidean methods.
- Develop prime and totient abilities: apply φ(n), λ(n), and primality checks in actual cryptography.
- Carry out encryption process: perform RSA encoding, modular exponentiation, and decryption.
- Improve proof-writing: deliver clear number theory 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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