On a small scale, the appearance of prime numbers seems random, but on a large scale there appears to be a pattern, which is still not fully understood. What are they? Why are the questions related to them so hard? One of the most interesting things about prime numbers is their distribution among the natural numbers. We explain what they are, why their study excites mathematicians and amateurs alike, and on the way we open a window to the mathematician’s world.įrom the beginning of human history, prime numbers aroused human curiosity. Prime numbers have attracted human attention from the early days of civilization.