#include #include #include #include #include #include #include #include #include #include #include #include #include #define getchar getchar_unlocked #define putchar putchar_unlocked #define _rep(_1, _2, _3, _4, name, ...) name #define rep2(i, n) rep3(i, 0, n) #define rep3(i, a, b) rep4(i, a, b, 1) #define rep4(i, a, b, c) for (int i = int(a); i < int(b); i += int(c)) #define rep(...) _rep(__VA_ARGS__, rep4, rep3, rep2, _)(__VA_ARGS__) using namespace std; using i64 = long long; using u8 = unsigned char; using u32 = unsigned; using u64 = unsigned long long; using f80 = long double; int get_int() { int n, c, sign = 0; while ((c = getchar()) < '-'); if (c == '-') sign = 1, n = 0; else n = c - '0'; while ((c = getchar()) >= '0') n = n * 10 + c - '0'; return sign ? -n : n; } int count(int N) { int v = sqrt(N); vector smalls(v + 1), larges(v + 1); rep(i, 1, v + 1) smalls[i] = i - 1; rep(i, 1, v + 1) larges[i] = N / i - 1; rep(p, 2, v + 1) if (smalls[p] > smalls[p - 1]) { int q = p * p, e = min(v, N / q), c = smalls[p - 1]; rep(i, 1, e + 1) larges[i] -= ((i * p <= v) ? larges[i * p] : smalls[N / (i * p)]) - c; for (int i = v; i >= q; --i) smalls[i] -= smalls[i / p] - c; } int ret = 0; rep(i, 2, v + 1) if (smalls[i] > smalls[i - 1]) { ret += larges[i] - smalls[i]; } ret += smalls[int(cbrtl(N))]; return ret; } void solve() { int N; while (~scanf("%d", &N)) { int lo = 1, hi = 5150000; while (hi - lo > 1) { int mi = (lo + hi) >> 1; if (count(mi) < N) lo = mi; else hi = mi; } printf("%d\n", hi); } } int main() { clock_t beg = clock(); solve(); clock_t end = clock(); fprintf(stderr, "%.3f sec\n", double(end - beg) / CLOCKS_PER_SEC); return 0; }