import math


def sushu(n):
    if n <= 1:
        return False
    if n <= 3:
        return True
    if n % 2 == 0 or n % 3 == 0:
        return False
    for i in range(5, math.isqrt(n), 6):
        if n % i == 0 or n % (i + 2) == 0:
            return False
    return True

T = int(input())
for k in range(T):
    n = int(input())
    if sushu(n):
        print("Yes")
    else:
        print("No")