Is there a pattern to prime numbers?

Have you ever noticed any discernible pattern in the distribution of prime numbers? Are there any specific mathematical rules or principles that govern their occurrence? Or do they seem to appear randomly, without any predictable order or structure? As we delve deeper into the realm of cryptography and finance, where prime numbers play a crucial role, understanding their behavior becomes increasingly important. So, is there truly a hidden pattern to these elusive numbers, or are they simply the building blocks of a mysterious mathematical universe?