Prime Numbers Course
Enhance your expertise in prime numbers via in-depth proofs, practical primality testing, and real-world uses such as RSA encryption. Delve into prime distributions and sequences, sidestep frequent proof errors, and refine your ability to communicate mathematical concepts clearly and professionally 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, starting with fundamental definitions and divisibility rules, advancing to key theorems, proof methods, and the unique factorisation theorem. Participants will engage in primality testing exercises, investigate prime distributions and patterns, and discover primes' role in contemporary cryptography. Additionally, it fosters skills in articulate mathematical writing for presenting structured arguments and concise reports effectively.
Elevify advantages
Develop skills
- Prove key prime theorems using contradiction, induction, and factorisation methods efficiently.
- Conduct primality tests with trial division, sieving algorithms, and probabilistic methods like Miller-Rabin.
- Examine prime patterns including distributions, arithmetic progressions, and specialised categories.
- Link primes to cryptography, understanding RSA, factoring challenges, and foundational security principles.
- Craft precise mathematical reports that clearly convey prime theorems and proofs to 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
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