In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers. Statement · Proof sketch · Newman's proof of the prime... |
| Теорема о распределении простых чисел |  |
Теорема о распределении простых чисел — теорема аналитической теории чисел, описывающая асимптотику распределения простых чисел, которая утверждает, что функция распределения простых чисел растёт с увеличением как, то есть:
, когда Википедия
The prime number theorem gives an asymptotic form for the prime counting function pi(n), which counts the number of primes less than some integer n. |
6 дней назад · Prime number theorem, formula that gives an approximate value for the number of primes less than or equal to any given positive real number ... |
20 июл. 2012 г. · The prime number theorem gives an estimate for how many prime numbers there are ... The prime number theorem then describes how π(x) behaves. |
Prime, Distribution, Theorem - Number theory - Britannica www.britannica.com › Science › Mathematics
The prime number theorem identifies one, at least approximately, and thereby provides a rule for the distribution of primes among the whole numbers. |
Videolar 22 июл. 2020 г. · The prime number theorem provides a way to approximate the number of primes less than or equal to a given number n. This value is called π(n). |
The theorem formalizes the idea that the probability of hitting a prime number between 1 and a given number becomes smaller, as numbers grow. |
(i) (Fundamental Theorem of Arithmetic): Every positive integer n can be written as a product of primes. Moreover, this expression of n is unique up to a. |
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