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 encryption. Learn to sidestep common errors in proofs and develop strong mathematical writing skills for professional, precise communication with peers and reports.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a structured journey into prime numbers, covering fundamental definitions, divisibility rules, key theorems, proof methods, and the fundamental theorem of arithmetic. Participants will master primality testing techniques, investigate prime distributions and patterns, and understand primes' critical role in cryptography like RSA. Additionally, it enhances skills in clear mathematical writing for presenting arguments and reports effectively.
Elevify advantages
Develop skills
- Prove key theorems on primes using contradiction, induction, and factorization methods swiftly.
- Conduct primality tests effectively with trial division, sieves, and Miller-Rabin algorithms.
- 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 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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