AKS Primality Test

The AKS Primality Test is an algorithm used to determine whether a number is prime—meaning it has no divisors other than 1 and itself. Unlike older methods, AKS can confirm primality quickly and efficiently for very large numbers without relying on unproven assumptions. It works by checking specific mathematical properties related to polynomial equations and modular arithmetic, which collectively reveal whether a number behaves like a prime. This breakthrough made primality testing both reliable and deterministic, ensuring accurate results in a practical amount of time for large numbers used in fields like cryptography.