Prime Numbers Course
Gain deep expertise in prime numbers through rigorous proofs, practical primality tests including sieves and probabilistic methods, and their applications in modern cryptography like RSA encryption. Delve into prime patterns, distributions, and arithmetic progressions while avoiding typical proof errors. Develop strong mathematical communication skills to articulate complex ideas clearly and professionally in reports and presentations.

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 such as 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 unique factorization methods.
- Conduct primality tests with trial division, the Sieve of Eratosthenes, and Miller-Rabin algorithm.
- Examine prime distributions, arithmetic progressions, and specialised prime categories.
- Link prime properties to cryptography, including RSA principles and factoring challenges.
- Craft precise mathematical reports explaining primes, proofs, and results to peers.
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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