Prime Numbers Course
Enhance your expertise in prime numbers via in-depth proofs, practical primality tests, and real-world uses such as RSA encryption. Delve into prime patterns, sidestep frequent proof errors, and refine your mathematical writing abilities for precise, professional expression in academic settings.

from 4 to 360h flexible workload
certificate valid 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 master primality testing, investigate prime distributions and patterns, and discover primes' role in contemporary cryptography. Additionally, it fosters skills in clear mathematical writing for articulating structured arguments and concise 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 effectively.
- Examine prime distributions, arithmetic progressions, and specialised prime categories.
- Link primes to cryptography, understanding RSA, factoring challenges, and security principles.
- Craft clear mathematical reports explaining primes, proofs, and results 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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