import os import sys from io import BytesIO, IOBase from random import randint BUFSIZE = 1 << 15 class FastIO(IOBase): newlines = 0 def __init__(self, file): self._fd = file.fileno() self.buffer = BytesIO() self.writable = "x" in file.mode or "r" not in file.mode self.write = self.buffer.write if self.writable else None def read(self): while True: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) if not b: break ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines = 0 return self.buffer.read() def readline(self): while self.newlines == 0: b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE)) self.newlines = b.count(b"\n") + (not b) ptr = self.buffer.tell() self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr) self.newlines -= 1 return self.buffer.readline() def flush(self): if self.writable: os.write(self._fd, self.buffer.getvalue()) self.buffer.truncate(0), self.buffer.seek(0) class IOWrapper(IOBase): def __init__(self, file): self.buffer = FastIO(file) self.flush = self.buffer.flush self.writable = self.buffer.writable self.write = lambda s: self.buffer.write(s.encode("ascii")) self.read = lambda: self.buffer.read().decode("ascii") self.readline = lambda: self.buffer.readline().decode("ascii") def output(*args, **kwargs): sep, file = kwargs.pop("sep", " "), kwargs.pop("file", sys.stdout) at_start = True for x in args: if not at_start: file.write(sep) file.write(str(x)) at_start = False file.write(kwargs.pop("end", "\n")) if kwargs.pop("flush", False): file.flush() sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout) input = lambda: sys.stdin.readline().rstrip("\r\n") def miller_rabin(n, check): d, s = n - 1, 0 while d % 2 == 0: d >>= 1 s += 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 miller_rabin(n, [2, 7, 61]) def is_prime64(n): return miller_rabin(n, [2, 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 is_prime32(n) if n < 18446744073709551615: return is_prime64(n) d = (n - 1) >> 1 while d & 1 == 0: d >>= 1 for _ in range(100): a = 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 def main(): for _ in range(int(input())): a = int(input()) output(a, end=' ') output(int(is_prime(a))) if __name__ == '__main__': main()