Prime Numbers Course
Build deep expertise in prime numbers via solid proofs, effective primality testing, and real-world uses like RSA encryption. Delve into prime distributions and sequences, sidestep typical proof errors, and hone your maths writing for sharp, professional presentations to peers.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course guides you from basic prime definitions and divisibility rules through key theorems, proof methods, and unique factorisation. You'll master primality tests, uncover prime patterns and theorems, and discover primes' role in cryptography. Plus, develop strong writing skills to confidently deliver structured arguments and concise reports.
Elevify advantages
Develop skills
- Prove prime theorems swiftly using contradiction, induction, and factorisation.
- Conduct primality tests with trial division, sieves, and Miller-Rabin methods.
- Examine prime patterns including distributions, arithmetic progressions, and unique types.
- Link primes to cryptography, covering RSA, factoring challenges, and security principles.
- Craft clear mathematical reports explaining primes 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 workloadWhat our students say
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