File:A_150x150_Ulam_spiral_of_dots_with_varying_widths_(emphasis_primes).svg · Wikimedia Commons · See Wikimedia Commons

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number theory

Also known as arithmetic, higher arithmetic

branch of pure mathematics devoted primarily to the study of the integers

AI overview

Number theory is a branch of pure mathematics that focuses on studying integers—the whole numbers like 1, 2, 3, and so on. It matters because understanding the properties and patterns of integers has led to important discoveries in mathematics and practical applications, from cryptography to computer science.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Instance of: branch of mathematics
Subclass of: mathematics
Part of: pure mathematics
Has part: elementary number theory
Image: Euclid's Orchard (large).svg

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Stack Exchange tag: math.stackexchange.com/tags/number-theory
is the study of: integer
Commons category: Number theory
topic's main category: Category:Number theory
Classification of Instructional Programs code: 27.0102
topic has template: Template:Number theory
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
different from: numerology
maintained by WikiProject: WikiProject Mathematics
topic's main Wikimedia portal: Portal:Number theory

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Encyclopedic overview

The distribution of prime numbers, a central point of study in number theory, illustrated by an Ulam spiral. It shows the conditional independence between being prime and being a value of certain quadratic polynomials.

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Excerpted from Wikipedia’s “number theory” article, available under the CC BY-SA 4.0 licence.