Problem:
Prime Numbers

A prime number is a natural number which has exactly two distinct natural number divisors: 1 and itself. For example, the first four prime numbers are: 2, 3, 5 and 7.

Write a program which reads a list of N integers and prints the number of prime numbers in the list.

Input

The first line contains an integer N, the number of elements in the list.

N numbers are given in the following lines.

Output

Print the number of prime numbers in the given list.

Constraints

1 ≤ N ≤ 10000

2 ≤ an element of the list ≤ 108

Sample Input 1

5
2
3
4
5
6

Sample Output 1

3

Sample Input 2

11
7
8
9
10
11
12
13
14
15
16
17

Sample Output 2

4

Solution in C++14 (judge verdict: Accepted)

#include <bits/stdc++.h>
using namespace std;
using Int = long long;
typedef pair<int,int> P; typedef pair<Int,Int> Pl;
const int mod = 1e9+7;
#define END {cout<<ans<<'\n'; return 0;}
#define ALL(v) v.begin(),v.end()
#define Pr(type) priority_queue<type>
#define gPr(type) priority_queue<type,vector<type>,greater<type>>
#define V(type) vector<type>
#define rep(i,n) for(int i=0; i<n; i++)
#define rer(i,st,en) for(int i=st; i<=en; i++)
#define eb emplace_back
#define pri1(a) cout<<a<<'\n'
#define pri2(a,n) rep(i,n)cout<<a[i]<<'\n'
#define pri3(a,n) rep(i,n)cout<<a[i]<<(i!=n-1?' ':'\n')
template<class T> inline bool cmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool cmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

template<typename T>
bool is_prime(T x) {
  for(T i = 2; i * i <= x; i++) {
    if(!(x%i)) return false;
  }
  return true;
}

int n,m,_,x,y,q;
string s;

int main(){
  cin.tie(nullptr); ios::sync_with_stdio(false);

  cin>>n; int ans=0;
  rep(i,n){
    cin>>m; ans+=is_prime(m);
  }
  END
}