Prime Numbers Course
This course enhances expertise in prime numbers through rigorous proofs, practical primality testing, and applications in modern cryptography such as RSA. Participants explore prime patterns, sidestep typical proof errors, and refine mathematical writing skills for precise, professional expression in academic settings.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Gain a structured understanding of prime numbers, progressing from fundamental definitions and divisibility rules to advanced theorems, proof strategies, and the fundamental theorem of arithmetic. Master primality testing methods, investigate prime distributions and notable properties, and discover primes' critical role in cryptography. Additionally, develop skills in articulating mathematical ideas clearly through well-organised arguments and reports.
Elevify Advantages
Develop Skills
- Prove key prime theorems using contradiction, induction, and factorisation methods swiftly.
- Conduct primality tests with trial division, sieves, and Miller-Rabin algorithms effectively.
- Examine prime distributions, arithmetic progressions, and specialised prime categories.
- Link primes to cryptography, understanding RSA, factoring challenges, and security principles.
- Craft concise mathematical reports explaining primes 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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