Prime distribution

Prime distribution refers to how prime numbers—numbers only divisible by 1 and themselves—are spread among natural numbers. Although primes become less frequent as numbers grow larger, their occurrence appears irregular but follows certain statistical patterns. Mathematicians study this distribution to understand the likelihood of primes appearing within a range, which is fundamental in number theory and cryptography. Key concepts include the Prime Number Theorem, which states that primes become less common roughly proportionally to 1 divided by their size, and the idea that primes tend to occur unpredictably but with an overall decreasing density as numbers increase.