# library from https://qiita.com/t_fuki/items/7cd50de54d3c5d063b4a
def gcd(a, b):
    while a:
        a, b = b%a, a
    return b


def is_prime(n):
    if n == 2:
        return 1
    if n == 1 or n%2 == 0:
        return 0

    m = n - 1
    lsb = m & -m
    s = lsb.bit_length()-1
    d = m // lsb

    test_numbers = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37]

    for a in test_numbers:
        if a == n:
            continue
        x = pow(a,d,n)
        r = 0
        if x == 1:
            continue
        while x != m:
            x = pow(x,2,n)
            r += 1
            if x == 1 or r == s:
                return 0
    return 1


def find_prime_factor(n):
    if n%2 == 0:
        return 2

    m = int(n**0.125)+1

    for c in range(1,n):
        f = lambda a: (pow(a,2,n)+c)%n
        y = 0
        g = q = r = 1
        k = 0
        while g == 1:
            x = y
            while k < 3*r//4:
                y = f(y)
                k += 1
            while k < r and g == 1:
                ys = y
                for _ in range(min(m, r-k)):
                    y = f(y)
                    q = q*abs(x-y)%n
                g = gcd(q,n)
                k += m
            k = r
            r *= 2
        if g == n:
            g = 1
            y = ys
            while g == 1:
                y = f(y)
                g = gcd(abs(x-y),n)
        if g == n:
            continue
        if is_prime(g):
            return g
        elif is_prime(n//g):
            return n//g
        else:
            return find_prime_factor(g)


def factorize(n):
    res = {}
    while not is_prime(n) and n > 1:  # nが合成数である間nの素因数の探索を繰り返す
        p = find_prime_factor(n)
        s = 0
        while n%p == 0:  # nが素因数pで割れる間割り続け、出力に追加
            n //= p
            s += 1
        res[p] = s
    if n > 1:  # n>1であればnは素数なので出力に追加
        res[n] = 1
    return res

def primeenumeration(n):
    # 2<= p<=nを満たす素数nのリストを返す
    ret = []
    if n < 2:
        return ret
    ok = [False if i % 2 == 0 else True for i in range(n+1)]
    ok[1] = False
    ok[2] = True
    ret.append(2)

    for i in range(3, n+1, 2):
        if ok[i]:
            ret.append(i)
            for j in range(i, n+1,i):
                ok[j] = False

    return ret

prime = primeenumeration(3000000)

t = int(input())
while t:
    t -= 1

    n = int(input())
    if is_prime(n):
        print("P")
        continue

    check = [0 for i in range(n+1)]


    factor = factorize(n)

    minkey = min(factor.keys())
    lim = n // minkey

    for p in prime:
        if p > lim:
            break
        
        for i in range(p, n+1, p):
            check[i] = 1
    
    for key in factor.keys():
        for i in range(key, n+1, key):
            check[i] = 1

    
    s = sum(check) - 1
    # print(check[:100])

    if s % 2 == 0:
        print("P")
    else:
        print("K")