Ramanujan-Soldner constant
|
|
The Ramanujan-Soldner constant is a mathematical constant defined as the unique positive zero of the logarithmic integral function.
Its value is approximately x ≈ 1.451369234883381050283968485892027449493...
Also, since the exponential integral function satisfies the equation
<math> \mathrm{Li}(x)\;=\;\mathrm{Ei}(\ln{x}) <math>,
the only positive zero of the exponential integral occurs at the natural logarithm of the Ramanujan-Soldner constant, whose value is approximately ln(x) ≈ 0.372507410781366634461991866...