AKS Primality Test
The AKS primality test is a deterministic algorithm for determining whether a given integer is prime. It was the first primality-proving algorithm to be simultaneously general, polynomial-time, deterministic, and unconditionally correct, meaning it does not rely on unproven mathematical hypotheses. The algorithm works by checking polynomial congruences modulo the input number.
Developers should learn the AKS primality test when working in cryptography, number theory, or security applications that require rigorous primality verification, such as generating large prime numbers for RSA encryption. It is particularly useful in academic or research contexts where deterministic correctness is essential, though in practice, faster probabilistic tests like Miller-Rabin are often preferred for efficiency.