Prime Numbers Course
Enhance your expertise in prime numbers via in-depth proofs, practical primality testing, and real-world uses such as RSA encryption. Delve into prime distributions, sidestep frequent proof errors, and refine your mathematical writing abilities for precise and professional expression in academic settings.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a structured journey through prime numbers, starting with fundamental definitions and divisibility rules, advancing to renowned theorems, proof methods, and the unique factorization theorem. Participants will engage in primality testing exercises, investigate prime distributions and significant properties, and discover the pivotal role of primes in contemporary cryptography. Additionally, it fosters skills in articulate writing and effective communication for presenting structured mathematical arguments and concise reports confidently.
Elevify advantages
Develop skills
- Prove key prime theorems using contradiction, induction, and factorization methods efficiently.
- Conduct primality tests with trial division, sieves, and Miller-Rabin algorithms hands-on.
- Examine prime patterns including distributions, arithmetic progressions, and distinct categories.
- Link primes to cryptography by understanding RSA, factoring challenges, and security principles.
- Craft clear mathematical reports to convey prime findings and proofs 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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