Usually means: Study of integers and divisibility.
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We found 11 dictionaries that define the word number theory:

General (8 matching dictionaries)
  1. number theory: Merriam-Webster
  2. number theory: Oxford Learner's Dictionaries
  3. number theory: Collins English Dictionary
  4. number theory: Wiktionary
  5. number theory: Infoplease Dictionary
  6. number theory: Dictionary.com
  7. Number Theory, Number theory: Wikipedia, the Free Encyclopedia
  8. number theory: TheFreeDictionary.com

Computing (1 matching dictionary)
  1. number theory: Encyclopedia

Science (2 matching dictionaries)
  1. Number Theory: Eric Weisstein's World of Mathematics
  2. number theory: PlanetMath Encyclopedia

(Note: See number_theoretic as well.)

Definitions from Wiktionary (number theory)

noun:  (mathematics) The branch of pure mathematics concerned with the properties of integers.

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