Combinatorial Number Theory is a branch of mathematics that combines elements of combinatorics and number theory. It focuses on counting and arranging numbers in specific ways, often exploring properties of integers and their relationships. This field investigates problems such as partitioning numbers, finding sums of integers, and understanding the distribution of prime numbers. Researchers in combinatorial number theory use various techniques, including generating functions and graph theory, to solve complex problems. The field has applications in areas like cryptography and computer science, where understanding the structure of numbers can lead to more efficient algorithms and secure communication methods.