Prime Numbers Course
Gain deep expertise in prime numbers through solid proofs, practical primality tests, and real-world uses like RSA encryption. Delve into prime distributions and patterns, sidestep typical proof errors, and refine your mathematical writing for precise, professional expression in academic settings.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear journey into prime numbers, starting from basic definitions and divisibility rules, moving to key theorems, proof methods, and unique factorisation. Learners will gain hands-on skills in testing for primes, studying prime patterns and important results, and understanding primes' role in modern cryptography. It also enhances writing and communication abilities for presenting 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 patterns including distributions, arithmetic progressions, and unique categories.
- Link primes to cryptography, understanding RSA, factoring challenges, and core security principles.
- Craft clear mathematical reports to convey prime findings 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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