Logarithmic integral function: Difference between revisions

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Robbot (talk | contribs)
m Andre Engels - Robot-assisted disambiguation: Function
Henrygb (talk | contribs)
pi(x) is not a multiplicative function: pi(6)=3 != pi(2)*pi(3)=2.
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:π(''x'') ~ Li(''x'')
 
where π(''x'') denotes a [[multiplicative function]] - the number of primes smaller than or equal to ''x'', and Li(''x'') is the [[offset logarithmic integral]] function, related to li(''x'') by Li(''x'') = li(''x'') - li(2).
 
The offset logarithmic integral gives a slightly better estimate to the π function than li(''x''). The function li(''x'') is related to the ''[[exponential integral]]'' Ei(''x'') via the equation