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

    Nov 20, 2025 · Number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Modern number theory is a broad subject that is classified into subheadings such as …

  2. Mathematics - Number Theory, Algorithms, Equations | Britannica

    Dec 13, 2025 · Beginning with Nicomachus of Gerasa (flourished c. 100 ce), several writers produced collections expounding a much simpler form of number theory. A favourite result is the representation …

  3. number theory summary | Britannica

    number theory, Branch of mathematics concerned with properties of and relations among integers.

  4. Number theory - Euclid, Prime Numbers, Divisibility | Britannica

    Nov 20, 2025 · Credit for bringing number theory into the mainstream, for finally realizing Fermat’s dream, is due to the 18th century’s dominant mathematical figure, the Swiss Leonhard Euler (1707–83).

  5. Modular arithmetic | Number Theory, Congruence & Algorithms

    Nov 12, 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 …

  6. Riemann hypothesis | Prime Numbers, Zeta Function & Complex …

    Dec 18, 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 …

  7. Number theory - Prime, Distribution, Theorem | Britannica

    Nov 20, 2025 · Number theory - Prime, Distribution, Theorem: One of the supreme achievements of 19th-century mathematics was the prime number theorem, and it is worth a brief digression.

  8. Law of large numbers | Probability, Sampling & Estimation | Britannica

    Nov 28, 2025 · Law of large numbers, in statistics, the theorem that, as the number of identically distributed, randomly generated variables increases, their sample mean (average) approaches their …

  9. Riemann zeta function | Analytic Properties, Complex Analysis ...

    Nov 21, 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 …

  10. Number theory - Fermat, Math, Puzzles | Britannica

    Nov 20, 2025 · Credit for bringing number theory into the mainstream, for finally realizing Fermat’s dream, is due to the 18th century’s dominant mathematical figure, the Swiss Leonhard Euler (1707–83).