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Prime number theorem

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Mathematical analysis Theorems in analysis Theorems in analytic number theory
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The Prime Number Theorem (PNT) is a fundamental result in number theory that describes the asymptotic distribution of prime numbers. It states that the number of prime numbers less than a given number \( n \), denoted as \( \pi(n) \), is approximately equal to \( \frac{n}{\log(n)} \), where \( \log(n) \) is the natural logarithm of \( n \).

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Prime number theorem by Ciro Santilli 37 Updated 2025-07-16
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