Number of Primes up to n Approximates to Eulerian Logarithmic Integral/Mistake

Source Work

 * The Dictionary
 * $10^{10^{10^{34}}}$
 * $10^{10^{10^{34}}}$


 * The Dictionary
 * $10^{10^{10^{34}}}$
 * $10^{10^{10^{34}}}$

Mistake

 * The number of primes less than or equal to $n$ is approximately $\ds \int_0^n \frac {\d x} {\log x}$.

Correction
That should be $\ds \int_2^n \frac {\d x} {\log x}$.

$\log x$ in this instance denotes the natural logarithm function.