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🏠
/
Mathematics
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Analytic Number Theory
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Prime Number Theorem
Prime Number Theorem
Describes the asymptotic distribution of prime numbers.
📜
The statement of the theorem
The number of primes less than or equal to
x
x
x
is approximately
x
/
ln
(
x
)
x / \ln(x)
x
/
ln
(
x
)
.\n
π
(
x
)
∼
x
ln
(
x
)
\pi(x) \sim \frac{x}{\ln(x)}
π
(
x
)
∼
ln
(
x
)
x
Source: Wikipedia