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 mathematical writing for precise, professional peer communication. This focused journey equips you with essential number theory tools for advanced study or tech applications.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This course provides a clear path through prime number basics, divisibility rules, key theorems, proof methods, and unique factorisation. Learners will master primality tests, uncover prime patterns and theorems, and discover primes' role in cryptography. It also develops strong writing skills for presenting structured arguments and concise reports confidently.
Elevify advantages
Develop skills
- Prove key prime theorems using contradiction, induction, and factorisation methods swiftly.
- Conduct primality tests with trial division, sieves, and Miller-Rabin algorithms practically.
- Examine prime patterns including distributions, arithmetic progressions, and unique types.
- Link primes to cryptography by understanding RSA, factoring challenges, and security principles.
- Craft clear mathematics reports to convey prime findings and proofs to fellow students.
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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