prime number theorem

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• 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 theorem — Math. the theorem that the number of prime numbers less than or equal to a given number is approximately equal to the given number divided by its natural logarithm. [1660 70] * * * ▪ mathematics  formula that gives an approximate value for the… …   Universalium

• prime number theorem — noun a theorem which states that the larger the number, the less the chance that it will be a prime number …  

• prime number theorem — Math. the theorem that the number of prime numbers less than or equal to a given number is approximately equal to the given number divided by its natural logarithm. [1660 70] …   Useful english dictionary

• 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

• Prime number theory — may refer to:* Prime number * Prime number theorem * Number theory …   Wikipedia

• Prime ideal theorem — In mathematics, the prime ideal theorem may be * the Boolean prime ideal theorem * the Landau prime ideal theorem on number fields …   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

• Landau prime ideal theorem — In mathematics, the prime ideal theorem of algebraic number theory is the number field generalization of the prime number theorem. It provides an asymptotic formula for counting the number of prime ideals of a number field K , with norm at most X …   Wikipedia

• Boolean prime ideal theorem — In mathematics, a prime ideal theorem guarantees the existence of certain types of subsets in a given abstract algebra. A common example is the Boolean prime ideal theorem, which states that ideals in a Boolean algebra can be extended to prime… …   Wikipedia

• Waring's prime number conjecture — In mathematics, Waring s prime number conjecture is a conjecture in number theory, closely related to Vinogradov s theorem. The conjecture is named after the English mathematician Edward Waring and states that every odd integer is either a prime… …   Wikipedia