Prime Numbers Course
Enhance your expertise in prime numbers via in-depth proofs, practical primality testing methods, and real-world uses such as RSA encryption. Delve into prime distributions and sequences, steer clear of frequent proof errors, and refine your ability to communicate mathematical concepts professionally and precisely to peers.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course provides a structured journey through prime numbers, starting from basic definitions and divisibility rules, progressing to important theorems, proof methods, and the fundamental theorem of arithmetic. Participants will gain hands-on experience in primality testing, investigate patterns in primes, and understand their critical role in contemporary cryptography. Additionally, it enhances skills in clear mathematical writing and effective communication for presenting arguments and concise reports.
Elevify advantages
Develop skills
- Prove key theorems on primes using contradiction, induction, and factorisation techniques efficiently.
- Conduct primality tests employing trial division, sieve methods, and probabilistic approaches like Miller-Rabin.
- Examine patterns in primes including distributions, arithmetic progressions, and distinct categories.
- Link primes to cryptography by understanding RSA principles, factoring challenges, and security concepts.
- Craft clear mathematical reports that explain prime properties and proofs effectively 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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