Is there a formula to predict prime numbers?

It's a fascinating question indeed, is there a definitive formula that can accurately predict prime numbers? We've seen mathematical geniuses like Euclid and Euler contribute groundbreaking theories on prime numbers, but have we reached a point where we can confidently say we have a formula to predict them all? Are there any recent advancements in the field of number theory that have shed light on this mystery? Or are we still left to rely on computational methods and algorithms to uncover these elusive numbers? Let's delve deeper and see if we can find the answer.