Prime Numbers Course
Gain deep expertise in prime numbers through rigorous proofs, practical primality tests, and applications in modern cryptography such as RSA. Delve into prime patterns, sidestep typical proof errors, and refine your ability to communicate mathematical ideas clearly and professionally to peers.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a thorough journey into prime numbers, covering fundamental definitions, divisibility rules, key theorems, proof methods, and unique factorisation. Learners will master primality testing, investigate prime distributions and patterns, and understand primes' role in cryptography. It also enhances skills in clear mathematical writing for presenting arguments and reports effectively.
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.
- Examine prime distributions, arithmetic progressions, and specialised prime types.
- Link primes to cryptography, understanding RSA, factoring challenges, and security principles.
- Craft concise mathematical reports explaining primes 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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