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number theory

American  

noun

Mathematics.
  1. the study of integers and their relation to one another.


number theory British  

noun

  1. the study of integers, their properties, and the relationship between integers

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Etymology

Origin of number theory

First recorded in 1910–15

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

But OpenAI’s solution drew on methods from a seemingly unrelated field, algebraic number theory, which studies deep patterns in numbers and the structures built from them.

From The Wall Street Journal Jun. 14, 2026

A mathematician may spend a career in discrete geometry without developing any familiarity with the sophisticated tools of algebraic number theory.

From The Wall Street Journal Jun. 14, 2026

Now they are solving classic problems in combinatorial geometry using algebraic number theory.

From The Wall Street Journal May 30, 2026

Looking at the stock’s daily chart one can see how round number theory came into play at the very round $100 figure:

From Barron's Apr. 20, 2026

A strong streak of romanticism runs through mathematics, manifesting itself most clearly in the most fundamental areas of mathematics, number theory and logic.

From "Innumeracy: Mathematical Illiteracy and Its Consequences" by John Allen Paulos

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