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Logarithmic integral calculator

Evaluate the logarithmic integral li used in prime-counting approximations.

How to use this calculator

Replace 2 in LogIntegral; the example is approximately 1.045164.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

LogIntegral⁡(2)\operatorname{LogIntegral}\left(2\right)

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What to know

The singularity at 1 requires the function's principal-value convention; it is not an ordinary integral through that pole.

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