Number theory
Number theory is a branch of mathematics that deals with the properties and relationships of numbers, particularly integers. It is one of the oldest branches of mathematics, with a history dating back thousands of years.
About
It is one of the oldest branches of mathematics, with a history dating back thousands of years. The study of number theory involves exploring the fundamental properties of numbers, such as divisibility, prime numbers, and factorization. Key concepts in number theory include prime factorization, the distribution of prime numbers, modular arithmetic, Diophantine equations, and the theory of congruences. Number theory has many applications in various fields, including cryptography, computer science, and physics. It is also closely related to other areas of mathematics, such as algebra, analysis, and geometry. The history of number theory can be traced back to ancient civilizations, such as the Babylonians and Greeks, who made significant contributions to the subject. However, number theory as a formal discipline began to develop in the 17th and 18th centuries with the work of mathematicians like Pierre de Fermat and Leonhard Euler. In the modern era, number theory has experienced rapid growth and has become a highly active area of research. Important developments in the field include the proof of Fermat's Last Theorem, the discovery of prime numbers in arithmetic progressions (Green-Tao theorem), and the conjecture of the Riemann Hypothesis. The Wikipedia page on number theory provides an in-depth overview of the subject, covering its history, key concepts, major results, and applications. It also includes links to related topics and further reading for those interested in exploring the subject in more detail.