Prime number distribution refers to the way prime numbers are spread out among the integers, which is not random but follows certain patterns and asymptotic laws. The most significant insight into this distribution is given by the Prime Number Theorem, which describes how the density of primes decreases logarithmically as numbers increase.

Prime Number Distribution

Prime number distribution

Spread of prime numbers

Patterns of prime numbers

Asymptotic laws of prime numbers

The Prime Number Theorem describes the asymptotic distribution of prime numbers among the positive integers, stating that the number of primes less than a given number n approximates n/log(n). This theorem highlights the idea that primes become less frequent as numbers grow larger, yet they follow a predictable pattern in their distribution.

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