Probabilistic Number Theory

Probabilistic Number Theory is a branch of mathematics that uses probability and statistical methods to study the properties of numbers, particularly prime numbers. Instead of relying solely on deterministic approaches, it analyzes randomness and chance to make predictions about number distribution, such as the occurrence of primes among integers. By employing probabilistic models, mathematicians can gain insights into complex problems and relationships in number theory, often leading to surprising results and conjectures that can guide more traditional mathematical methods.