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asymptotic prime

См. также в других словарях:

  • 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

  • Asymptotic theory — is the branch of mathematics which studies properties of asymptotic expansions.The most known result of this field is the prime number theorem:Let pi;( x ) be the number of prime numbers that are smaller than or equal to x .The limit:lim {x… …   Wikipedia

  • 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 k-tuple — In number theory, a prime k tuple is an ordered set of values (i.e. a vector) representing a repeatable pattern of prime numbers. A k tuple is represented as ( a , b , ...) to represent any set of values ( n + a , n + b , ...) for all values of n …   Wikipedia

  • Prime geodesic — In mathematics, a prime geodesic on a hyperbolic surface is a primitive closed geodesic, i.e. a geodesic which is a closed curve that traces out its image exactly once. Such geodesics are called prime geodesics because, among other things, they… …   Wikipedia

  • 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

  • Cousin prime — In mathematics, cousin primes are prime numbers that differ by four;[1] compare this with twin primes, pairs of prime numbers that differ by two, and sexy primes, pairs of prime numbers that differ by six. The cousin primes (sequences  A023200… …   Wikipedia

  • Regular prime — In number theory, a regular prime is a certain kind of prime number. A prime number p is called regular if it does not divide the class number of the p th cyclotomic field (that is, the algebraic number field obtained by adjoining the p th root… …   Wikipedia

  • Almost prime — In number theory, a natural number is called k almost prime if and only if it has exactly k prime factors, counted with multiplicity. More formally, a number n is k almost prime if and only if Ω( n ) = k , where Ω( n ) is the total number of… …   Wikipedia

  • Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… …   Wikipedia

  • Logarithmic integral function — In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It occurs in problems of physics and has number theoretic significance, occurring in the prime number theorem as an estimate of the number of… …   Wikipedia

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