# Logarithmic integral li(x) (chart) Calculator

## Calculates a table of the logarithmic integral li(x) and draws the chart.

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

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

Logarithmic integral li(x) (chart)
 [1-1] /1 Disp-Num5103050100200
[1]  2016/09/13 00:41   Male / 50 years old level / An engineer / Very /
Purpose of use
Research on prime numbers density
Comment/Request
Dear all, I am a resercher of italian National Reserach Council (CNR); in the context of a study about prime numbers density, we are using your "Logarithmic integral li(x) (chart) Calculator". Unfortunately we must repeat the such evaluation by varying the initial value according to a very long list of numbers, and this is a very very boring work ... Is it available an executive programs to be launched with a batch command or an other way to evaluate the Lì(x) function by using more than one initial value written in a text file and save the results in a second text file?
Best regards
Leonardo

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