Prime Numbers Course
Enhance your expertise in prime numbers via in-depth proofs, effective primality testing, and real-world uses such as RSA encryption. Delve into prime distributions and sequences, sidestep typical proof errors, and refine your mathematical writing skills for precise, professional presentations to peers.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a comprehensive journey through prime numbers, starting with fundamental definitions and divisibility rules, advancing to renowned theorems, proof strategies, and the unique factorization theorem. Participants will master primality testing methods, investigate prime distributions and patterns, and discover primes' critical role in contemporary cryptography. Additionally, it fosters strong writing abilities for articulating mathematical arguments and reports effectively.
Elevify advantages
Develop skills
- Prove key prime theorems using contradiction, induction, and factorization methods efficiently.
- Conduct primality tests with trial division, sieves, and Miller-Rabin algorithms practically.
- Examine prime patterns including distributions, arithmetic progressions, and specialized types.
- Link primes to cryptography by understanding RSA, factoring challenges, and security principles.
- Craft clear mathematical reports that convey prime findings and proofs to undergraduate audiences.
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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