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Logarithmic integral function (li(x)=∫0x​lntdt​, Logarithm integral)

Ciro Santilli (@cirosantilli, 37) ... Mathematics Area of mathematics Calculus Differential equation Euler number Natural logarithm
Updated 2025-07-16  1 By others on same topic  0 Discussions Create my own version
Sample software implementations:
  • SymPy: python/sympy_cheat/logarithm_integral.py

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Logarithmic integral function by Wikipedia Bot 0
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The logarithmic integral function, denoted as \( \mathrm{Li}(x) \), is a special function that is defined as follows: \[ \mathrm{Li}(x) = \int_2^x \frac{dt}{\log(t)} \] for \( x > 1 \). The function is often used in number theory, particularly in relation to the distribution of prime numbers.
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