Prime Numbers Course
Deepen your mastery of primes with rigorous proofs, primality tests, and modern applications like RSA. Explore prime patterns, avoid common proof pitfalls, and sharpen your mathematical writing for clear, professional communication.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Prime Numbers Course offers a focused path from core definitions and divisibility rules to classic theorems, rigorous proof techniques, and unique factorization. You will practice primality testing, explore prime patterns and key results, and see how primes drive modern cryptography. The course also builds clear writing and communication skills so you can present precise, well-structured arguments and short reports with confidence.
Elevify advantages
Develop skills
- Prove prime theorems: apply contradiction, induction, and factorization fast.
- Run primality tests: use trial division, sieves, and Miller–Rabin in practice.
- Analyze prime patterns: explore distributions, progressions, and special classes.
- Connect primes to crypto: grasp RSA, factoring vs primality, and security ideas.
- Write clear math reports: explain prime results and proofs to undergraduate peers.
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 workloadWhat our students say
Your classes are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to change platforms... I thank you for everything you do, I've already recommended you to other people...

Giulio CarloDigital Marketing Student
I like how the lessons are 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 videos are presented and transcribed, which speeds up the process!

Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos really help with learning.

André FelipePrompt Engineering Student
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