#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define REP(i,a,b) for(int i=a;i<(int)b;i++) #define rep(i,n) REP(i,0,n) #define all(c) (c).begin(), (c).end() #define zero(a) memset(a, 0, sizeof a) #define minus(a) memset(a, -1, sizeof a) #define minimize(a, x) a = std::min(a, x) #define maximize(a, x) a = std::max(a, x) typedef long long ll; int const inf = 1<<29; typedef __int128_t INT; INT N; INT pow(INT x, INT n, INT M){ INT tmp = 1; if ( n > 0 ){ tmp = pow(x, n/2, M); if ( n%2 == 0 ) tmp = (tmp*tmp)%M; else tmp = (((tmp*tmp)%M)*x)%M; } return tmp; } bool is_prime(INT const& x) { if(x == 2) { return 1; } if(x < 2 || (x%2 == 0)) { return 0; } return pow(2, x-1, x) == 1; } bool dfs(INT n, int cnt) { if(N - n > 10) { return true; } bool ret = false; if(!is_prime(n-1)) { ret = ret || dfs(n-1, cnt); } if(!is_prime(n-cnt)) { ret = ret || dfs(n-cnt, n-cnt); } return ret; } int main() { string s; cin >> s; N = 0; rep(i, s.size()) { N *= 10; N += s[i]-'0'; } if(N < 7) { cout << (int)N-1 << endl; exit(0); } int cnt = 7; while(1) { bool r = dfs(N, cnt); if(r) { cout << cnt << endl; exit(0); } cnt++; } return 0; }