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where π(''x'') denotes the number of primes smaller than or equal to ''x''.
In order to avoid the principal value calculation, the prime number theorem is sometimes presented in terms of the integral <sub>2</sub><font size="+1">∫</font><sup>x</sup> 1/ln ''t'' d''t'', which differs from li(''x'') by the value li(2) ≈ 1.04516. This [[function]] is the [[offset logarithmic integral]] function.
The function li(''x'') is related to the ''[[exponential integral]]'' Ei(''x'') via the equation
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