Prime Numbers Course
Gain deep expertise in prime numbers via rigorous proofs, efficient primality tests including sieves and probabilistic methods, and their applications in modern cryptography like RSA encryption. Delve into prime patterns, distributions, arithmetic progressions, and special primes while mastering proof strategies to sidestep pitfalls. Develop professional mathematical writing skills for articulating complex ideas and proofs confidently to peers.

from 4 to 360h 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 techniques, investigate prime distributions and patterns, and understand primes' critical role in cryptography such as RSA. Additionally, it enhances skills in clear mathematical writing and presenting structured arguments effectively.
Elevify advantages
Develop skills
- Prove key theorems on primes using contradiction, induction, and unique factorization methods swiftly.
- Conduct primality tests effectively with trial division, the Sieve of Eratosthenes, and Miller-Rabin algorithm.
- Examine prime distributions, arithmetic progressions, and distinctive prime categories in depth.
- Link prime properties to cryptography, understanding RSA, factoring challenges, and security principles.
- Craft precise mathematical reports that clearly convey prime theorems and proofs to fellow students.
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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