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Results tagged with prime-number-theorem
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user 35626
The Prime Number Theorem is a theorem that describes the distribution of the primes. It says that the number of primes less than or equal to a real number $x$ is asymptotic to $\frac{x}{\ln x}$.
2
votes
The shortest interval for which the prime number theorem holds
The short answer is no. It is likely to be sufficient, although right now the best known is
actually that pi(x + x^{0.525}) > pi(x) for all large x (and likely all x > 117). If it were necessary,
thi …
- 2,158