[sicily]1500. Prime Gap

1500. Prime Gap

Constraints

Time Limit: 1 secs, Memory Limit: 32 MB

Description

The sequence of n ? 1 consecutive composite numbers (positive integers that are not prime and not equal to 1) lying between two successive prime numbers p and p + n is called a prime gap of length n. For example, 24, 25, 26, 27, 28 between 23 and 29 is a prime gap of length 6.

Your mission is to write a program to calculate, for a given positive integer k, the length of the prime gap that contains k. For convenience, the length is considered 0 in case no prime gap contains k.

Input

The input is a sequence of lines each of which contains a single positive integer. Each positive integer is greater than 1 and less than or equal to the 100000th prime number, which is 1299709. The end of the input is indicated by a line containing a single zero.

Output

The output should be composed of lines each of which contains a single non-negative integer. It is the length of the prime gap that contains the corresponding positive integer in the input if it is a composite number, or 0 otherwise. No other characters should occur in the output.

Sample Input

10112724921700

Sample Output

4060114

Problem Source

Tokyo 2007

简单计数题，要我们计算包含k值的相邻两个素数之间的距离。利用筛法求出N以内的素数，然后计算即可。代码如下：

#include <iostream>#include <cstring>#include <cmath>using namespace std;#define N 1299710bool prime[N];int main(){    int n;    memset(prime, true, sizeof(prime)); //筛法求N以内的素数。    for(int i=2; i<=sqrt(N); i++)        if(prime[i])            for(int j=i+i; j<N; j=i+j)                prime[j] = false;    while(cin>>n && n>0)    {        int count=0;        if(!prime[n])        {            int tmp=n;            while(prime[tmp]==false)                tmp--;            tmp++;            count++;            while(prime[tmp]==false){                tmp++;                count++;            }        }        cout<<count<<endl;          }   // system("pause");    return 0;   }