Prime Numbers Course
This comprehensive course on prime numbers delves into rigorous proofs, effective primality testing methods like trial division and Miller-Rabin, and explorations of prime patterns and arithmetic progressions. It connects primes to cryptography, including RSA principles, while teaching avoidance of proof errors and professional mathematical writing for clear communication to peers.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a structured journey through prime numbers, covering fundamental definitions, divisibility rules, key theorems, proof methods, and the fundamental theorem of arithmetic. Participants will master primality testing, investigate prime distributions and patterns, and discover primes' role in cryptography such as RSA. It also enhances skills in articulating mathematical arguments and producing concise reports.
Elevify advantages
Develop skills
- Prove key theorems on primes using contradiction, induction, and factorisation techniques swiftly.
- Conduct primality tests employing trial division, sieves, and the Miller-Rabin algorithm practically.
- Examine prime distributions, arithmetic progressions, and distinctive prime categories.
- Link primes to cryptography, understanding RSA, factoring challenges, and security concepts.
- Craft precise mathematical reports explaining prime theorems and proofs for 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
FAQs
Who is Elevify? How does it work?
Do the courses have certificates?
Are the courses free?
What is the course duration?
What are the courses like?
How do the courses work?
What is the duration of the courses?
What is the cost or price of the courses?
What is an EAD or online course and how does it work?
PDF Course