Prime Number Algorithms

Prime number algorithms are methods for identifying prime numbers, which are integers greater than 1 that have no divisors other than 1 and themselves. Common algorithms include the Sieve of Eratosthenes, which systematically eliminates non-prime numbers from a list, and trial division, where you test divisibility by known primes. Modern algorithms, such as the Miller-Rabin and AKS algorithms, use probabilistic or deterministic methods for larger numbers, crucial for applications in cryptography. Understanding these algorithms is essential as they underpin secure communication and data encryption in today's digital world.