Prime Numbers Course
Gain deep expertise in prime numbers through rigorous proofs, practical primality tests, exploration of prime patterns, and applications in modern cryptography such as RSA. Avoid typical proof errors, analyse prime distributions and progressions, and develop strong mathematical writing skills for professional presentations and peer explanations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a solid foundation in prime numbers, covering definitions, divisibility rules, key theorems, proof methods, and unique factorization. Learners will master primality testing, investigate prime patterns and distributions, and understand primes' role in cryptography like RSA. It also enhances skills in writing clear, structured mathematical arguments and reports for effective communication.
Elevify advantages
Develop skills
- Prove key prime theorems using contradiction, induction, and factorization methods swiftly.
- Conduct primality tests with trial division, sieves, and Miller-Rabin algorithms effectively.
- Examine prime patterns, distributions, arithmetic progressions, and specialised prime classes.
- Link primes to cryptography, understanding RSA, factoring challenges, and security principles.
- Craft clear mathematical reports explaining prime theorems 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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