Math, asked by ashish9646, 4 months ago

The Prime Number Theorem. ...​

Answers

Answered by SrijanShrivastava
0

The Prime Number Theorem States an Asymptotic relationship between number of primes less than or equal to a given number and also the Asymptotic general term for prime numbers.

i.e.,

  \pi(x) \sim \sf \frac{x}{ ln(x)}

OR

p_{n} \sim \sf n  \: ln(x)

We can Improvise, the Prime Number Theorem as:

   \\  \small\pi(x)   \sim  \sf li(x)

where, li(x) is the logarithmic integral.

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