The conversation between human and AI assistant.
Is it possible to create a mathematical function to obtain the nth prime number?
Yes, please explain the Sieve of Eratosthenes.
The Sieve of Eratosthenes is a method for finding all prime numbers up to a specified limit. It works by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the multiples of 2. This algorithm can be used to generate a list of prime numbers, and from that list it is possible to obtain the nth prime number.