What is the most efficient way to generate prime numbers?

What is the most efficient approach to generating prime numbers? Is there a particular algorithm or method that stands out as the most effective? How does the efficiency of different methods compare? Are there any recent advancements or innovations in this area that have led to more efficient ways of generating prime numbers? I'm curious to know if there's a consensus among experts on the best method to use, or if the most efficient approach depends on the specific context or application.