# Prime number theory

Prime number theory

Prime number theory may refer to:

* Prime number
* Prime number theorem
* Number theory

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• Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

• Minimal prime (number theory) — In number theory, a minimal prime is a prime number for which there is no shorter subsequence of its digits in a given base that form a prime. In base 10 there are exactly 26 minimal primes::2, 3, 5, 7, 11, 19, 41, 61, 89, 409, 449, 499, 881, 991 …   Wikipedia

• number theory — noun The branch of pure mathematics concerned with the properties of integers. Factorization has driven many great discoveries in number theory. See Also: arithmetic, mathematics, natural number, number, prime number, theory …   Wiktionary

• Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …   Wikipedia

• number theory — Math. the study of integers and their relation to one another. Also called theory of numbers. [1910 15] * * * Branch of mathematics concerned with properties of and relations among integers. It is a popular subject among amateur mathematicians… …   Universalium

• Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

• prime number — Math. a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded: The integers 2, 3, 5, and 7 are prime numbers. Also called prime. [1585 95] * * * Any positive integer greater than 1 and… …   Universalium

• Timeline of number theory — A timeline of number theory.Before 1000 BC* ca. 20,000 BC Nile Valley, Ishango Bone: possibly the earliest reference to prime numbers and Egyptian multiplication.1st millennium* 250 Diophantus writes Arithmetica , one of the earliest treatises on …   Wikipedia

• Analytic number theory — In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve number theoretical problems. [Page 7 of Apostol 1976] It is often said to have begun with Dirichlet s introduction of… …   Wikipedia

• Algebraic number theory — In mathematics, algebraic number theory is a major branch of number theory which studies the algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number… …   Wikipedia