#include using namespace std; bool is_SPRP(uint64_t n, uint32_t a) { uint64_t d = n - 1, s = 0; while ((d & 1) == 0) { ++s; d >>= 1; } __uint128_t cur = 1, pw = d; while (pw) { if (pw & 1) { cur = (cur * a) % n; } a = ((__uint128_t)a * a) % n; pw >>= 1; } if (cur == 1) { return true; } for (uint64_t r = 0; r < s; r++) { if (cur == n - 1) { return true; } cur = (cur * cur) % n; } return false; } bool is_prime(uint64_t x) { if (x <= 1) return false; if (x < 1ULL << 32) { const vector bases{2, 7, 61}; for (const uint32_t base : bases) { if (x != base && !is_SPRP(x, base)) return false; } } else { const vector bases{2, 325, 9375, 28178, 450775, 9780504, 1795265022}; for (const uint64_t base : bases) { if (x != base && !is_SPRP(x, base)) return false; } } return true; } int main() { int q; cin >> q; while (q--) { uint64_t n; cin >> n; cout << n << " " << is_prime(n) << endl; } }