using System; using System.IO; using System.Linq; using System.Text; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; class Program { public void Solve() { var N = BigInteger.Parse(Reader.String()); if (N <= 100) Console.WriteLine(BruteForce((int)N)); else if (N % 8 == 1 && MillerRabin.IsPrime(N - 8)) Console.WriteLine(14); else Console.WriteLine(8); } int BruteForce(int N) { for (int W = 3; W < N; W++) if (Can(N, W)) return W; return N; } private bool Can(int N, int W) { var seen = Sieve(N); var que = new Queue(); que.Enqueue(1); Action Add = x => { seen[x] = true; que.Enqueue(x); }; while (que.Count > 0) { int val = que.Dequeue(); if (val == N) return true; seen[val] = true; int c = (val - 1) % W; if (val > 1 && c - 1 >= 0 && !seen[val - 1]) Add(val - 1); if (c + 1 < W && !seen[val + 1]) Add(val + 1); if (val + W <= N && !seen[val + W]) Add(val + W); if (val >= W && !seen[val - W]) Add(val - W); } return false; } static bool[] Sieve(int n) { bool[] primes = new bool[n + 1]; bool[] composite = new bool[n + 1]; for (int i = 2; i <= n; i++) { if (composite[i]) continue; primes[i] = true; for (int j = i + i; j <= n; j += i) composite[j] = true; } return primes; } class MillerRabin { private static readonly Random random = new Random(0); private static readonly int MaxTest = 15; public static bool IsPrime(BigInteger n) { if (n == 2) return true; if (n <= 1 || n % 2 == 0) return false; var d = n - 1; int s = 0; while (d % 2 == 0) { d /= 2; s++; } for (int t = 0; t < MaxTest; t++) { var a = (ulong)(((long)random.Next() << 32) + random.Next()) % (n - 1) + 1; var x = BigInteger.ModPow(a, d, n); if (x == 1) continue; bool found = false; for (int r = 0; r < s; r++) { if (x == n - 1) { found = true; break; } x = x * x % n; } if (!found) return false; } return true; } } } class Entry { static void Main() { new Program().Solve(); } } class Reader { private static TextReader reader = Console.In; private static readonly char[] separator = { ' ' }; private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; private static string[] A = new string[0]; private static int i; private static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); } public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); } public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Next()).ToArray(); } public static string Line() { return reader.ReadLine().Trim(); } private static string[] Split(string s) { return s.Split(separator, op); } private static string Next() { CheckNext(); return A[i++]; } private static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }