Prime Numbers Course
Gain deep expertise in prime numbers via rigorous proofs, effective primality testing, and applications in modern cryptography such as RSA. Delve into prime distributions and patterns, sidestep typical proof errors, and hone mathematical writing for professional, clear communication in academic settings.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear path through prime number basics, divisibility rules, key theorems, proof methods, and unique factorisation. Learners will master primality tests, prime patterns, and their role in cryptography like RSA, while developing skills to write and present precise mathematical arguments confidently.
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 practically.
- Examine prime patterns including distributions, arithmetic progressions, and unique classes.
- Link primes to cryptography by 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 workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workloadWhat our students say
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