#!/usr/bin/ python3.8 import sys read = sys.stdin.buffer.read readline = sys.stdin.buffer.readline readlines = sys.stdin.buffer.readlines import numpy as np T = int(readline()) def MillerRabinTest(n, maxiter=20): import random if n == 1: return False elif n == 2: return True if not n & 1: return False d = n - 1 while not (d & 1): d >>= 1 for _ in range(maxiter): a = random.randint(1, n - 1) t = d x = pow(a, t, n) while (t != n - 1) and (x != 1) and (x != n - 1): x = x * x % n t <<= 1 if (x != n - 1) and not (t & 1): return False return True def cumprod(A, MOD): L = len(A) Lsq = int(L**.5 + 1) A = np.resize(A, Lsq**2).reshape(Lsq, Lsq) for n in range(1, Lsq): A[:, n] *= A[:, n - 1] A[:, n] %= MOD for n in range(1, Lsq): A[n] *= A[n - 1, -1] A[n] %= MOD return A.ravel()[:L] def solve(): N, M = map(int, readline().split()) if N == 0: return 1 if M <= 2 * 10 ** 5 + 10: if N >= M: return 0 else: x = np.arange(1, N + 1, dtype=np.int64) return cumprod(x, M)[-1] if not MillerRabinTest(M): return 0 # P is prime P = M if N >= P: return 0 if N == P - 1: return P - 1 x = np.arange(1, P - N, dtype=np.int64) return P - cumprod(x)[-1] for _ in range(T): print(solve())