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- Prime_number_theorem abstract "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 distributed amongst the positive integers. It formalizes the intuitive idea that primes become less common as they become larger.Informally speaking, the prime number theorem states that if a random integer is selected in the range of zero to some large integer N, the probability that the selected integer is prime is about 1 / ln(N), where ln(N) is the natural logarithm of N. Consequently, a random integer with at most 2n digits (for large enough n) is about half as likely to be prime as a random integer with at most n digits. For example, among the positive integers of at most 1000 digits, about one in 2300 is prime (ln 101000 ≈ 2302.6), whereas among positive integers of at most 2000 digits, about one in 4600 is prime (ln 102000 ≈ 4605.2). In other words, the average gap between consecutive prime numbers among the first N integers is roughly ln(N).".
- Prime_number_theorem thumbnail Prime_number_theorem_ratio_convergence.svg?width=300.
- Prime_number_theorem wikiPageExternalLink PrimeFormulas.html.
- Prime_number_theorem wikiPageExternalLink PrimeNumberTheorem.html.
- Prime_number_theorem wikiPageExternalLink howmany.shtml.
- Prime_number_theorem wikiPageExternalLink gaps.html.
- Prime_number_theorem wikiPageExternalLink cramer.pdf.
- Prime_number_theorem wikiPageExternalLink primes.html.
- Prime_number_theorem wikiPageExternalLink felkel.htm.
- Prime_number_theorem wikiPageExternalLink watch?v=3RfYfMjZ5w0.
- Prime_number_theorem wikiPageID "23692".
- Prime_number_theorem wikiPageRevisionID "606558342".
- Prime_number_theorem hasPhotoCollection Prime_number_theorem.
- Prime_number_theorem id "199".
- Prime_number_theorem id "p/d033530".
- Prime_number_theorem title "Distribution of prime numbers".
- Prime_number_theorem title "Prime number theorem".
- Prime_number_theorem subject Category:Logarithms.
- Prime_number_theorem subject Category:Theorems_about_prime_numbers.
- Prime_number_theorem subject Category:Theorems_in_analytic_number_theory.
- Prime_number_theorem type Abstraction100002137.
- Prime_number_theorem type Communication100033020.
- Prime_number_theorem type Exponent106812417.
- Prime_number_theorem type Logarithm106812631.
- Prime_number_theorem type Logarithms.
- Prime_number_theorem type MathematicalNotation106808720.
- Prime_number_theorem type Message106598915.
- Prime_number_theorem type Notation106808493.
- Prime_number_theorem type Proposition106750804.
- Prime_number_theorem type Statement106722453.
- Prime_number_theorem type Theorem106752293.
- Prime_number_theorem type TheoremsAboutPrimeNumbers.
- Prime_number_theorem type TheoremsInAnalyticNumberTheory.
- Prime_number_theorem type Writing106359877.
- Prime_number_theorem type WrittenCommunication106349220.
- Prime_number_theorem comment "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 distributed amongst the positive integers.".
- Prime_number_theorem label "Priemgetalstelling".
- Prime_number_theorem label "Prime number theorem".
- Prime_number_theorem label "Primzahlsatz".
- Prime_number_theorem label "Teorema de los números primos".
- Prime_number_theorem label "Teorema dei numeri primi".
- Prime_number_theorem label "Teorema do número primo".
- Prime_number_theorem label "Théorème des nombres premiers".
- Prime_number_theorem label "Теорема о распределении простых чисел".
- Prime_number_theorem label "مبرهنة الأعداد الأولية".
- Prime_number_theorem label "素数定理".
- Prime_number_theorem label "質數定理".
- Prime_number_theorem sameAs Prvočíselná_věta.
- Prime_number_theorem sameAs Primzahlsatz.
- Prime_number_theorem sameAs Θεώρημα_πρώτων_αριθμών.
- Prime_number_theorem sameAs Teorema_de_los_números_primos.
- Prime_number_theorem sameAs Théorème_des_nombres_premiers.
- Prime_number_theorem sameAs Teorema_dei_numeri_primi.
- Prime_number_theorem sameAs 素数定理.
- Prime_number_theorem sameAs 소수_정리.
- Prime_number_theorem sameAs Priemgetalstelling.
- Prime_number_theorem sameAs Teorema_do_número_primo.
- Prime_number_theorem sameAs m.05xdq.
- Prime_number_theorem sameAs Q386292.
- Prime_number_theorem sameAs Q386292.
- Prime_number_theorem sameAs Prime_number_theorem.
- Prime_number_theorem wasDerivedFrom Prime_number_theorem?oldid=606558342.
- Prime_number_theorem depiction Prime_number_theorem_ratio_convergence.svg.
- Prime_number_theorem isPrimaryTopicOf Prime_number_theorem.