# Ramanujan prime

**Ramanujan primes**are the integers R

_{n}that are the smallest to satisfy the condition π(

*x*) - π(

*x*/2) ≥

*n*, for all

*x*≥ R

_{n}. In other words, there are at least

*n*primes between

*x*/2 and

*x*, whenever

*x*is greater than or equal to R

_{n}. The sequence begins 2, 11, 17, 29, 41, ....

Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.