Prime Numbers Course
This course builds deep expertise in prime numbers through rigorous proofs, practical primality testing, and real-world uses like RSA encryption. Delve into prime patterns, sidestep typical proof errors, and hone mathematical writing skills for precise, professional presentations. Ideal for advancing your number theory knowledge with confidence.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
Explore prime numbers from fundamental definitions and divisibility rules to advanced theorems, proof strategies, and unique factorisation. Master primality testing, uncover prime patterns and significant results, and discover primes' role in contemporary cryptography. Develop strong writing skills to confidently deliver structured arguments and concise reports.
Elevify advantages
Develop skills
- Prove key prime theorems using contradiction, induction, and factorisation methods.
- Conduct primality tests with trial division, sieves, and Miller-Rabin algorithms.
- Examine prime distributions, arithmetic progressions, and specialised prime classes.
- Link primes to cryptography, including RSA, factoring challenges, and security principles.
- Craft clear mathematical reports explaining primes and proofs to 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 workload.What our students say
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