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:''See also [[logarithmic integral]] for other senses.''
In [[mathematics]], the '''logarithmic integral function''' or '''integral logarithm''' li(''x'') is a [[special function]]. It occurs in problems of [[physics]] and has [[number theory|number theoretic]] significance, occuring in the [[prime number theorem]] as an [[estimate]] of the number of [[prime number]]s less than a given value.
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