import os import sys import random class Prime(): def miller_rabin(n, check): d = n - 1 d = d // (d & -d) s = ((n - 1) // d).bit_length() - 1 for a in check: if n <= a: return True a = pow(a, d, n) if a == 1: continue r = 1 while a != n - 1: if r == s: return False a = a * a % n r += 1 return True def is_prime32(n): return Prime.miller_rabin(n, [2, 7, 61]) def is_prime64(n): return Prime.miller_rabin(n, [2, 3, 5, 7, 325, 9375, 28178, 450775, 9780504, 1795265022]) def is_prime(n): if n <= 1: return False if n <= 3: return True if n & 1 == 0: return False if n < 4759123141: return Prime.is_prime32(n) if n < 18446744073709551615: return Prime.is_prime64(n) d = (n - 1) >> 1 while d & 1 == 0: d >>= 1 for k in range(100): a = random.randint(1, n - 1) t = d y = pow(a, t, n) while t != n - 1 and y != 1 and y != n - 1: y = (y * y) % n t <<= 1 if y != n - 1 and t & 1 == 0: return False return True for i in range(int(input())): x = int(input()) print(x, int(Prime.is_prime(x)))