CompositeJudgmentTool

"The main function of App is to determine whether a number is composite.
Composite numbers play an important role in mathematics, especially in number theory and other subfields. Here are some of the main functions of composite numbers in mathematics:
1, prime factorization and uniqueness: every composite number can be uniquely written as the product of prime numbers, which is the core content of the fundamental theorem of arithmetic. This property makes composite numbers have practical applications in prime factorization, cryptography and so on.
2, building positive integers: composite numbers and prime numbers together make up all positive integers. Prime numbers are the ""basic building blocks"" of positive integers, while composite numbers are combinations of these building blocks. Composite numbers are therefore essential for understanding and studying the properties of positive integers.
3, the application of probability theory: in the set of positive integers randomly take a number, the probability that the number is a composite number is, which means the universality of composite numbers in mathematics. This universality has given composite numbers many applications in probability and number theory.
4. Connection with physics: The concept of composite numbers plays an important role not only in pure mathematics, but also in physics. For example, in quantum mechanics, composite numbers are closely related to the phase of the wave function; In geometric optics, composite numbers are also used to describe the propagation of light.
5, solve mathematical problems: By studying the properties of composite numbers, mathematicians can explore and solve many important mathematical problems, such as Fermat's little theorem. The solution of these problems not only promotes the development of mathematical theory, but also provides the basis for practical application.
To sum up, composite numbers play a fundamental and important role in mathematics, not only helping us to understand the structure of positive integers, but also providing key clues for solving various mathematical problems."