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April 3rd, 2019, 01:13 PM   #1
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prime counting function

pi(n) = n/ln(n) + n/ln^2(n) + n/ln^3(n) + ...
I think this is stronger than prime number theorem and closer to the true value of pi(n).

Last edited by skipjack; April 3rd, 2019 at 03:53 PM.
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April 3rd, 2019, 02:17 PM   #2
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It is similiar to $\displaystyle \pi(x) $~$\displaystyle Li(x)$.
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April 4th, 2019, 03:01 AM   #3
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Here is the similiar formula :
Prime Number Theorem -- from Wolfram MathWorld
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