Finding the 10001th Prime
Wikipedia gives the bounds $n \ln n + n(\ln\ln n - 1) < p_n < n \ln n + n \ln \ln n$, where $p_n$ is the $n$th prime. So the $10001$st prime is between 104318 and 114320.
Wikipedia gives the bounds $n \ln n + n(\ln\ln n - 1) < p_n < n \ln n + n \ln \ln n$, where $p_n$ is the $n$th prime. So the $10001$st prime is between 104318 and 114320.