# Logarithmic integral li(x) Calculator

## Calculates the logarithmic integral li(x).

 $li(x)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{1}{ln(t)}}dt$

 x 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Logarithmic\ integral\ li(x)\\[10](1)\ li(x)={\large\int_{\small 0}^{\hspace{25}\small x}\frac{1}{ln(t)}}dt\\(2)\ li(x)=E_i(ln(x))\\[10](3)\ li(0)=0,\hspace{20}li(1)=-\infty\\$

Logarithmic integral li(x)
 [1-10] /12 Disp-Num5103050100200
[1]  2018/12/16 02:31   Female / Under 20 years old / High-school/ University/ Grad student / Not at All /
Purpose of use
Homework
[2]  2018/09/01 21:01   Male / 60 years old level or over / A retired person / Very /
Purpose of use
developing a theory for the distribution of prime numbers
[3]  2018/08/24 03:37   Male / 60 years old level or over / High-school/ University/ Grad student / Very /
Purpose of use
estimate prime countying function
[4]  2018/07/15 23:11   Male / 60 years old level or over / A retired people / Very /
Purpose of use
prime number density estimate
[5]  2018/05/29 02:02   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
Manipulating the prime counting function.
[6]  2016/06/14 02:34   Male / 50 years old level / A teacher / A researcher / Very /
Purpose of use
Scientific activity.
Bug report
I notice that Logarithmic integral (chart) calculator is able to compute the li(x) function also for x higher than 1,000,000, but it is not possible to set the number of digits, whereas the logarithmic integral li(x) calculator goes on timeout for x higher than 1,000,000.
from Keisan
[7]  2015/05/21 02:01   - / 60 years old level or over / An engineer / Very /
Purpose of use
computing to proof some bookaticle
[8]  2014/04/02 06:18   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
PNT mathematics
[9]  2012/02/10 09:00   Male / 30 years old level / Others / Very /
Purpose of use
Checking accuracy of my own progam to calculate li(x)
[10]  2010/06/28 07:25   Male / 20 level / A university student / Very /
Purpose of use
lack of knowledge
Comment/Request
very good site

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