
Distribution of Prime Numbers
Prime numbers are natural numbers greater than 1 that have no divisors other than 1 and themselves. The distribution of these primes among all natural numbers is somewhat irregular, but mathematicians have observed that as numbers grow larger, primes become less frequent, yet they continue to appear infinitely often. This pattern isn't perfectly uniform but follows a trend described by the Prime Number Theorem, which suggests that the probability of a number being prime roughly decreases as the number gets bigger. Despite their unpredictable placement, primes are fundamental to number theory and have practical applications in areas like cryptography.