Prime Numbers Course
Deepen your mastery of primes with rigorous proofs, primality tests, and modern applications like RSA. Explore prime patterns, avoid common proof pitfalls, and sharpen your mathematical writing for clear, professional communication.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Prime Numbers Course offers a focused path from core definitions and divisibility rules to classic theorems, rigorous proof techniques, and unique factorization. You will practice primality testing, explore prime patterns and key results, and see how primes drive modern cryptography. The course also builds clear writing and communication skills so you can present precise, well-structured arguments and short reports with confidence.
Elevify advantages
Develop skills
- Prove prime theorems: apply contradiction, induction, and factorization fast.
- Run primality tests: use trial division, sieves, and Miller–Rabin in practice.
- Analyze prime patterns: explore distributions, progressions, and special classes.
- Connect primes to crypto: grasp RSA, factoring vs primality, and security ideas.
- Write clear math reports: explain prime results and proofs to undergraduate peers.
Suggested summary
Before starting, you can change the chapters and 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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Course in PDF