We know that prime numbers are positive integers that have exactly two distinct positive divisors. Similarly, we'll call a positive integer *t* Т-prime, if *t* has exactly three distinct positive divisors.

You are given an array of *n* positive integers. For each of them determine whether it is Т-prime or not.
The first line contains a single positive integer, *n* (1 ≤ *n* ≤ 10<sup class="upper-index">5</sup>), showing how many numbers are in the array. The next line contains *n* space-separated integers *x*<sub class="lower-index">*i*</sub> (1 ≤ *x*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">12</sup>).

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is advised to use the cin, cout streams or the %I64d specifier.
from math import ceil
def sieve_of_eratosthenes(n):
    is_prime = [True] * (n + 1)
    is_prime[0] = is_prime[1] = False

    for p in range(2, int(n**0.5) + 1):
        if is_prime[p]:
            for i in range(p * p, n + 1, p):
                is_prime[i] = False

    prime_numbers = [p ** 2 for p in range(2, n + 1) if is_prime[p]]
    return prime_numbers
n = int(input())
arr = list(map(int, input().split()))
prime_numbers = sieve_of_eratosthenes(ceil(max(arr) ** 0.5))
print(prime_numbers)
for i in arr:
    print("YES" if i in prime_numbers else "NO")