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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. 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).

  10. 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 …