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The theorem that the number of prime numbers less than n asymptotically approaches n / ln(n) as n approaches infinity.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, number-theory, sciences
Examples
- 1974 [Academic Press], Harold M. Edwards, Riemann's Zeta Function, 2001, Dover, page 182, The problem of locating the roots p of ζ, and consequently the problem of estimating the error in the prime number theorem, is closely related to the problem of estimating the growth of ζ in the critical strip 0<Res<1 as Ims→∞.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Any theorem that concerns the distribution of prime numbers.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, number-theory, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
4 source translations are retained for this English entry.
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German:
Primzahlsatz
— particular theorem about the asymptotic density of prime numbers
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Polish:
twierdzenie o liczbach pierwszych
— particular theorem about the asymptotic density of prime numbers
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German:
Primzahlsatz
— any theorem about the density of prime numbers
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Polish:
twierdzenie o liczbach pierwszych
— any theorem about the density of prime numbers
