What is the most efficient algorithm for finding primes?

Could you elaborate on what you mean by the "most efficient" algorithm for finding prime numbers? There are numerous algorithms available, each with their own strengths and weaknesses depending on factors such as the size of the number being checked and the specific use case. Some popular options include the Sieve of Eratosthenes, the Rabin-Miller primality test, and the Elliptic Curve Primality Proving algorithm. Is there a specific aspect of efficiency you're interested in, such as speed, memory usage, or simplicity of implementation?