Prime Numbers Course
This comprehensive course on prime numbers delves into rigorous proofs, effective primality testing methods like trial division and Miller-Rabin, and explorations of prime patterns and arithmetic progressions. It connects primes to cryptography, including RSA principles, while teaching avoidance of proof errors and professional mathematical writing for clear communication to peers.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a structured journey through prime numbers, covering fundamental definitions, divisibility rules, key theorems, proof methods, and the fundamental theorem of arithmetic. Participants will master primality testing, investigate prime distributions and patterns, and discover primes' role in cryptography such as RSA. It also enhances skills in articulating mathematical arguments and producing concise reports.
Elevify advantages
Develop skills
- Prove key theorems on primes using contradiction, induction, and factorisation techniques swiftly.
- Conduct primality tests employing trial division, sieves, and the Miller-Rabin algorithm practically.
- Examine prime distributions, arithmetic progressions, and distinctive prime categories.
- Link primes to cryptography, understanding RSA, factoring challenges, and security concepts.
- Craft precise mathematical reports explaining prime theorems and proofs for fellow students.
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
Your lessons are perfect. I purchased the one-year package and finally have the chance to follow several topics I'm interested in without having to switch platforms... thank you for everything you do, I've already recommended you to others...

Giulio CarloDigital Marketing Student
I like how the lessons get straight to the point and how I can switch chapters and skip content I don't need.

Mariana FerresPhotography Student
I like the content and the way the videos are presented and transcribed, which speeds up the process!

Luciana AlvarengaNail Design Student
The platform is fast and easy to use. The variety of content and the supplementary videos really help with learning.

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