import sys

# sys.setrecursionlimit(1000006)
# sys.set_int_max_str_digits(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()

dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
# inf = -1-(-1 << 31)
inf = -1-(-1 << 62)

# md = 10**9+7
md = 998244353

from random import randrange

def is_prime(n):
    # K...信頼度
    K = 5
    if n == 2: return True
    if n == 1 or n & 1 == 0: return False
    d = (n-1) >> 1
    while d & 1 == 0: d >>= 1
    for k in range(K):
        a = randrange(1, n)
        t = d
        y = pow(a, t, n)
        while t != n-1 and y != 1 and y != n-1:
            y = pow(y, 2, n)
            t <<= 1
        if y != n-1 and t & 1 == 0: return False
    return True

for _ in range(II()):
    n=II()
    n=n**4+4
    if is_prime(n):
        print("Yes")
        print(0)
    else:
        print("No")
        cnt=0
        while n%10==0:
            cnt+=1
            n//=10
        print(cnt)