/* 普通に難しくない? */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define forr(x,arr) for(auto&& x:arr) #define _overload3(_1,_2,_3,name,...) name #define _rep2(i,n) _rep3(i,0,n) #define _rep3(i,a,b) for(int i=int(a);i=int(a);i--) #define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__) #define all(x) (x).begin(),(x).end() #define bit(n) (1LL<<(n)) #define sz(x) ((int)(x).size()) #define TEN(n) ((ll)(1e##n)) #define fst first #define snd second string DBG_DLM(int &i){return(i++==0?"":", ");} #define DBG_B(exp){int i=0;os<<"{";{exp;}os<<"}";return os;} templateostream&operator<<(ostream&os,vectorv); templateostream&operator<<(ostream&os,setv); templateostream&operator<<(ostream&os,queueq); templateostream&operator<<(ostream&os,priority_queueq); templateostream&operator<<(ostream&os,pairp); templateostream&operator<<(ostream&os,mapmp); templateostream&operator<<(ostream&os,unordered_mapmp); templatevoid DBG(ostream&os,TPL t){} templatevoid DBG(ostream&os,TPL t){os<<(I==0?"":", ")<(t);DBG(os,t);} templatevoid DBG(ostream&os,pairp,string delim){os<<"("<ostream&operator<<(ostream&os,tuplet){os<<"(";DBG<0,tuple,Ts...>(os,t);os<<")";return os;} templateostream&operator<<(ostream&os,pairp){DBG(os,p,", ");return os;} templateostream&operator<<(ostream&os,vectorv){DBG_B(forr(t,v){os<ostream&operator<<(ostream&os,sets){DBG_B(forr(t,s){os<ostream&operator<<(ostream&os,queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,priority_queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,mapm){DBG_B(forr(p,m){os<");});} templateostream&operator<<(ostream&os,unordered_mapm){DBG_B(forr(p,m){os<");});} #define DBG_OVERLOAD(_1,_2,_3,_4,_5,_6,macro_name,...)macro_name #define DBG_LINE(){char s[99];sprintf(s,"line:%3d | ",__LINE__);cerr<;using pll=pair;using pil=pair;using pli=pair; using vs=vector;using vvs=vector;using vvvs=vector; using vb=vector;using vvb=vector;using vvvb=vector; using vi=vector;using vvi=vector;using vvvi=vector; using vl=vector;using vvl=vector;using vvvl=vector; using vd=vector;using vvd=vector;using vvvd=vector; using vpii=vector;using vvpii=vector;using vvvpii=vector; templatebool amax(A&a,const B&b){return b>a?a=b,1:0;} templatebool amin(A&a,const B&b){return b>l;return l;} string rs(){string s;cin>>s;return s;} vector sieve(int n) { vector flg(n, 1); for (int i = 0; i < 2; i++) { flg[i] = false; } for (int j = 4; j < n; j += 2) { flg[j] = false; } int lim = int(sqrt(n)) + 1; for (int i = 3; i < lim; i += 2) { if (flg[i]) { for (int j = i * i; j < n; j += i * 2) { flg[j] = 0; } } } return flg; } vector primes(int n) { vector ret; if (n <= 2) return ret; ret.emplace_back(2); vector flg = sieve(n); for (int i = 3; i < n; i += 2) { if (flg[i]) ret.emplace_back(i); } return ret; } void Main() { int n = ri(); constexpr int lim = 5111443; auto P = primes(lim+1); auto cntr = [&](int x) -> int { int pos = lower_bound(all(P), x) - P.begin(); int cnt = 0; rep(i, pos) { int p1 = P[i]; auto r = upper_bound(all(P), x / p1); int c = (r - P.begin()) - (i+1); if (c < 0) break; cnt += c; } int q = pow(x, 1.0/3); int c2 = upper_bound(all(P), q) - P.begin(); cnt += c2; return cnt; }; auto check = [&](int x) -> bool { return cntr(x) >= n; }; /* out(cntr(2018)); out(cntr(2019)); out(cntr(7619)); */ /* rep(i, 22) { int ci = cntr(i); out(i, ci); } */ int ng = 1; int ok = lim+1; while (abs(ok - ng) > 1) { int mid = (ok + ng) / 2; bool c = check(mid); if (c) ok = mid; else ng = mid; } cout << ok << endl; } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); Main(); return 0; }