distribution of primes
The distribution of primes refers to how prime numbers are spread out among the integers. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. As numbers increase, primes become less frequent, but they never stop appearing. The Prime Number Theorem provides a way to estimate the number of primes less than a given number, showing that the density of primes decreases logarithmically.
Researchers have studied the patterns and gaps between primes, leading to various conjectures, such as the Goldbach Conjecture and the Twin Prime Conjecture. These conjectures explore relationships between prime numbers and their distribution, highlighting the complexity and intrigue of prime number theory.