Primality Testing

Primality testing is the process of determining whether a number is prime, meaning it has no positive divisors other than 1 and itself. There are various methods for testing primality, ranging from simple checks (like dividing by smaller numbers) to complex algorithms used in computer science. For large numbers, more efficient methods like the Miller-Rabin or AKS test are often employed. Primality testing is crucial in fields like cryptography, where large prime numbers secure digital communications. Understanding whether a number is prime helps in various mathematical and practical applications involving factors and multiples.