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Displayed is
the number of primes less than or equal to x, labelled
Π
(
x
)
{\displaystyle \Pi (x)}
(red)
an approximation using
x
ln
x
{\displaystyle {\frac {x}{\ln {x}}}}
(green)
an approximation using the logarithmic integral
Li
(
x
)
{\displaystyle \operatorname {Li} (x)}
(blue)
Created with Maple:
plot({[seq([x,pi(x)],x=0..100000)],x/ln(x),Li(x)-Li(2)},x=0..100000,Pi[x]=0..10000,color=[blue,green,red]);
Author: FredStober
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Dät/Tim Magodil Mafots Geban Küpet
anuik 20:16, 2006 yanul 4id 738 × 563 (15 KB) Fred Stober
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