Logarithmic integral function: Difference between revisions

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li(x) gives better approximation; Li(x) wasn't defined
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The logarithmic integral is mainly important because it occurs in estimates of [[prime number]] densities, especially in the [[prime number theorem]]:
 
:π(''x'') ~ Lili(''x'')
 
where π(''x'') denotes the number of primes smaller than or equal to ''x''.