research in number theory

Research in number theory involves studying the properties and relationships of numbers, especially integers. Mathematicians explore patterns, solve longstanding questions, and develop theories about prime numbers, divisibility, and number sequences. This work often combines abstract reasoning with computational methods to uncover hidden structures and solve problems that can have both theoretical significance and practical applications, such as cryptography. Despite its deep foundational nature, number theory continuously reveals surprising connections, enriching our understanding of mathematics and its role in the world.