Prime Number Theorem

The Prime Number Theorem describes the asymptotic distribution of prime numbers. Let $π (x)$ prime counting function. Then:

π (x) \sim \frac{x}{\ln (x)}

which means:

lim_{x \to + \infty} \frac{π (x)}{\frac{x}{\ln (x)}} = 1

Contributors to the theorem:

Both independently proved the theorem in 1896 using complex analysis and properties of the Riemann zeta function.