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#include <stdio.h>
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#include <stdio.h>
#include <math.h>
using namespace std;
bool ktnt(long long a)
{
    long long j;
    if (a < 2)
    {
        return 0;
    }
    if (a < 4)
    {
        return 1;
    }
    for (j = 2 ; j * j <= a  ; j++)
    {
        if (a % j == 0)
        {
            return 0;
        }
    }
    return 1;
}
int main()
{
#ifndef ONLINE_JUDGE
   freopen ("input.txt", "r", stdin);
   freopen ("output.txt", "w", stdout);
#endif
    long long temp,n,i;
    scanf("%ld\n",&n);
    for (i = 1 ; i <= n ; i++)
    {
        scanf("%ld ",&temp);
        if ((sqrt(temp) == (long long) sqrt(temp)) && (ktnt((long long) sqrt(temp))))
        {
            printf("%s\n","YES");
        }
        else
        {
            printf("%s\n","NO");
        }
    }
    return 0;
}
    
#include <stdio.h>
#include <math.h>
using namespace std;
bool ktnt(long long a)
{
    long long j;
    if (a < 2)
    {
        return 0;
    }
    if (a < 4)
    {
        return 1;
    }
    for (j = 2 ; j * j <= a  ; j++)
    {
        if (a % j == 0)
        {
            return 0;
        }
    }
    return 1;
}
int main()
{
#ifndef ONLINE_JUDGE
   freopen ("input.txt", "r", stdin);
   freopen ("output.txt", "w", stdout);
#endif
    long long temp,n,i;
    scanf("%ld\n",&n);
    for (i = 1 ; i <= n ; i++)
    {
        scanf("%ld ",&temp);
        if ((sqrt(temp) == (long long) sqrt(temp)) && (ktnt((long long) sqrt(temp))))
        {
            printf("%s\n","YES");
        }
        else
        {
            printf("%s\n","NO");
        }
    }
    return 0;
}

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