NounPlural uncountable
Derived termsRelated termsFrom Wiktionary under the GNU Free Documentation License. Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. Number theory may be subdivided into several fields, according to the methods used and the type of questions investigated. (See the list of number theory topics.) The terms "arithmetic" or "the higher arithmetic" as nouns are also used to refer to number theory. These are somewhat older terms, which are no longer as popular as they once were. However the word "arithmetic" is popularly used as an adjective rather than the more cumbersome phrase "number-theoretic", and also "arithmetic of" rather than "number theory of". e.g. (arithmetic geometry, arithmetic functions, arithmetic of elliptic curves). When arranging the natural numbers in a spiral and emphasizing the prime numbers, an intriguing and not fully explained pattern is observed, called the Ulam spiral.FieldsFrom Wikipedia under the
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See also:
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Lehmer's Conjecture
Some Highlights of Arithmetic Combinatorics
Fermat's Little Theorem