题目描述
The sieve of Eratosthenes is a famous algorithm to find all prime numbers up to $N$. The algorithm is:
- Write down all integers between 2 and $N$, inclusive.
- Find the smallest number not already crossed out and call it $P$; $P$ is prime.
- Cross out $P$ and all its multiples that aren’t already crossed out.
- If not all numbers have been crossed out, go to step 2.
Write a program that, given $N$ and $K$, find the $K$-th integer to be crossed out.
-----Input-----
The integers $N$ and $K$ $(1 \leq K < N \leq 100000)$.
-----Output-----
Output the $K$-th number to be crossed out.
-----Examples-----
Sample Input 1:
7 3
Sample Output 1:
6
Sample Input 2:
15 12
Sample Output 2:
7
输入格式
见题面
输出格式
见题面
样例输入
7 3
样例输出
6