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  1. Number theory - Wikipedia

    Number theory is one of the oldest branches of mathematics alongside geometry. One quirk of number theory is that it deals with statements that are simple to understand but are very difficult to solve.

  2. Number theory | Definition, Topics, & History | Britannica

    Nov 20, 2025 · number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Sometimes called “higher arithmetic,” it is among the oldest and most natural of …

  3. More formal approaches can be found all over the net, e.g: Victor Shoup, A Computational Introduction to Number Theory and Algebra. One reader of these notes recommends I.N. Herstein, ’Abstract …

  4. Number Theory - MIT Mathematics

    The Riemann hypothesis, a Clay Millennium Problem, is a part of analytic number theory, which employs analytic methods (calculus and complex analysis) to understand the integers.

  5. Introduction to Number Theory - Math is Fun

    We only have integers, which are whole numbers, their negatives, and zero: This is Number theory, a branch of mathematics that explores the properties and relationships of integers. The cool part is that …

  6. Number Theory - GeeksforGeeks

    Sep 19, 2025 · Number theory is a branch of mathematics that studies numbers, particularly whole numbers, and their properties and relationships. It explores patterns, structures, and the behaviors of …

  7. Number theory - AoPS Wiki - Art of Problem Solving

    Number theory Number theory is the field of mathematics associated with studying the properties and identities of integers.

  8. Number Theory | Brilliant Math & Science Wiki

    Dec 15, 2025 · Number theory is the study of properties of the integers. Because of the fundamental nature of the integers in mathematics, and the fundamental nature of mathematics in science, the …

  9. Number Theory - from Wolfram MathWorld

    Dec 3, 2025 · Number theory is a vast and fascinating field of mathematics, sometimes called "higher arithmetic," consisting of the study of the properties of whole numbers. Primes and prime …

  10. Number Theory - Definition, Examples, Applications - Cuemath

    Number theory, also known as 'higher arithmetic', is one of the oldest branches of mathematics and is used to study the properties of positive integers. It helps to study the relationship between different …