number theory

noun Mathematics.
the study of integers and their relation to one another.
Also called theory of numbers.

1910–15 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
number theory
the study of integers, their properties, and the relationship between integers

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
Cite This Source's 21st Century Lexicon
Main Entry:  number theory
Part of Speech:  n
Definition:  a branch of mathematics involving the study of the properties and relationships of numbers's 21st Century Lexicon
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Example sentences
Researchers get help from a venerable number theory and a popular puzzle game
  to solve genetic medical mysteries.
The conversation runs from the latest on number theory to the fairest way to
  decide a closely contested election.
But the beauty of number theory is that it is both deep and accessible to
  almost everyone.
The topics ranged from compound interest to number theory, hydrodynamics and
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