Number theory

Traditionally, number theory is that branch of pure mathematics concerned with the properties of integers. It contains many results and open problems that are easily understood, even by non-mathematicians. More generally, the field has come to be concerned with wider classes of problems that have arisen naturally from the study of integers. Number theory may be subdivided into several fields, according to the methods used and the type of questions investigated. See for example the list of number theory topics. Mathematicians working in the field of number theory are called number theorists.

Quotations

Mathematics is the queen of the sciences and number theory is the queen of mathematics. — Gauss

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God invented the integers; all else is the work of man. — Kronecker

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I know numbers are beautiful. If they aren't beautiful, nothing is. — Erdős

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