#include /** * @title 128-bit int * @docs int128.md */ #ifdef __SIZEOF_INT128__ using uint128_t = __uint128_t; using int128_t = __int128_t; #else #include using uint128_t = boost::multiprecision::uint128_t; using int128_t = boost::multiprecision::int128_t; #endif /** * @title Primality test (Miller-Rabin algorithm) * @docs miller_rabin.md */ class MillerRabin{ static uint128_t power(uint128_t a, uint128_t b, uint128_t p){ uint128_t ret = 1; while(b > 0){ if(b & 1) ret = ret * a % p; a = a * a % p; b >>= 1; } return ret; } static bool is_composite(uint64_t a, uint64_t p, int s, uint64_t d){ uint128_t x = power(a, d, p); if(x == 1) return false; for(int i = 0; i < s; ++i){ if(x == p-1) return false; x = x * x % p; } return true; } public: static bool is_prime(uint64_t n){ if(n <= 1) return false; if(n == 2) return true; if(n % 2 == 0) return false; int s = 0; uint64_t d = n-1; while((d & 1) == 0){ s += 1; d >>= 1; } if(n < 4759123141){ for(uint64_t x : {2, 7, 61}){ if(x < n and is_composite(x, n, s, d)) return false; } return true; } for(uint64_t x : {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}){ if(x < n and is_composite(x, n, s, d)) return false; } return true; } }; int main(){ int T; std::cin >> T; while(T--){ int64_t A, P; std::cin >> A >> P; if(MillerRabin::is_prime(P)){ std::cout << 1 << "\n"; }else{ std::cout << -1 << "\n"; } } return 0; }