import sys

def check(n):
    if n < 2:
        return False
    if n in (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37):
        return True
    if n % 2 == 0:
        return False
    d = n - 1
    r = 0
    while d % 2 == 0:
        d //= 2
        r += 1
    bases = (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37)
    for a in bases:
        x = pow(a, d, n)
        if x == 1 or x == n - 1:
            continue
        for _ in range(r - 1):
            x = pow(x, 2, n)
            if x == n - 1:
                break
        else:
            return False
    return True
data = sys.stdin.read().split()
num_tests = int(data[0])
for i in range(1, num_tests + 1):
    val = int(data[i])
    if check(val):
        print("YES")
    else:
        print("NO")