#include using namespace std; #define sorted(a) sort(a.begin(), a.end()); typedef long long unsigned int ll; const long mod = 1e9 + 7; uint16_t bases[] = { 15591,2018,166,7429,8064,16045,10503,4399,1949,1295,2776,3620,560,3128,5212, 2657,2300,2021,4652,1471,9336,4018,2398,20462,10277,8028,2213,6219,620,3763,4852,5012,3185, 1333,6227,5298,1074,2391,5113,7061,803,1269,3875,422,751,580,4729,10239,746,2951,556,2206, 3778,481,1522,3476,481,2487,3266,5633,488,3373,6441,3344,17,15105,1490,4154,2036,1882,1813, 467,3307,14042,6371,658,1005,903,737,1887,7447,1888,2848,1784,7559,3400,951,13969,4304,177,41, 19875,3110,13221,8726,571,7043,6943,1199,352,6435,165,1169,3315,978,233,3003,2562,2994,10587, 10030,2377,1902,5354,4447,1555,263,27027,2283,305,669,1912,601,6186,429,1930,14873,1784,1661, 524,3577,236,2360,6146,2850,55637,1753,4178,8466,222,2579,2743,2031,2226,2276,374,2132,813, 23788,1610,4422,5159,1725,3597,3366,14336,579,165,1375,10018,12616,9816,1371,536,1867,10864, 857,2206,5788,434,8085,17618,727,3639,1595,4944,2129,2029,8195,8344,6232,9183,8126,1870,3296, 7455,8947,25017,541,19115,368,566,5674,411,522,1027,8215,2050,6544,10049,614,774,2333,3007, 35201,4706,1152,1785,1028,1540,3743,493,4474,2521,26845,8354,864,18915,5465,2447,42,4511, 1660,166,1249,6259,2553,304,272,7286,73,6554,899,2816,5197,13330,7054,2818,3199,811,922,350, 7514,4452,3449,2663,4708,418,1621,1171,3471,88,11345,412,1559,194}; bool is_SPRP(uint32_t n, uint32_t a) { uint32_t d = n-1, s = 0; while ((d&1)==0) ++s, d>>=1; uint64_t cur = 1, pw = d; while (pw) { if (pw & 1) cur = (cur*a) % n; a = ((uint64_t)a*a) % n; pw >>= 1; } if (cur == 1) return true; for (uint32_t r=0; r 1); uint64_t h = x; h = ((h >> 16) ^ h) * 0x45d9f3b; h = ((h >> 16) ^ h) * 0x45d9f3b; h = ((h >> 16) ^ h) & 255; return is_SPRP(x,bases[h]); } int main(void) { #ifdef DEBUG freopen("input.txt", "r", stdin); #endif ios_base::sync_with_stdio(false); cin.tie(0); int N; cin >> N; ll n; for (int i = 0; i < N; i++) { cin >> n; cout << n << " " << is_prime(n) << endl; } return 0; }