import std.conv, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken().to!int; } long readLong() { return readToken().to!long; } real readReal() { return readToken().to!real; } void chmin(T)(ref T t, in T f) { if (t > f) t = f; } void chmax(T)(ref T t, in T f) { if (t < f) t = f; } int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = cast(int)(as.length); for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; } int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a < val)); } int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a <= val)); } immutable LIM = 10^^6; bool[] isnp; void prepare() { isnp = new bool[LIM]; isnp[0] = isnp[1] = true; foreach (i; 2 .. LIM) { if (!isnp[i]) { for (int j = 2 * i; j < LIM; j += i) { isnp[j] = true; } } } } bool[][] doIt(int H, int W, int N) { auto A = new bool[][](H, W); foreach (x; 0 .. H) foreach (y; 0 .. W) { A[x][y] = (1 + x * W + y <= N) && isnp[1 + x * W + y]; } auto vis = new bool[][](H, W); void dfs(int x, int y) { vis[x][y] = true; foreach (dir; 0 .. 4) { const xx = x + [+1, 0, -1, 0][dir]; const yy = y + [0, +1, 0, -1][dir]; if (0 <= xx && xx < H && 0 <= yy && yy < W && A[xx][yy]) { if (!vis[xx][yy]) { dfs(xx, yy); } } } } dfs(0, 0); return vis; } int solveSmall(int N) { foreach (W; 1 .. N) { const H = (N + W + 1) / W; const vis = doIt(H, W, N); if (vis[(N - 1) / W][(N - 1) % W]) { return W; } } return -1; } bool isPrime(BigInt n) { if (n <= 1 || n % 2 == 0) return (n == 2); BigInt power(BigInt a, BigInt e, BigInt m) { BigInt x = a, y = 1; for (; e != 0; e >>= 1, x = x * x % m) if (e & 1) y = y * x % m; return y; } BigInt d; int r, s; for (d = n - 1, s = 0; d % 2 == 0; d >>= 1, ++s) {} foreach (a; 2 .. 100) if (a < n) { BigInt ad = power(BigInt(a), d, n); if (ad == 1) continue; for (r = 0; r < s; ++r) { if (ad == n - 1) break; ad = ad * ad % n; } if (r == s) return false; } return true; } void main() { prepare(); /* foreach (W; 1 .. 30) { const vis = doIt(2 * W, W, 2 * W * W); foreach (x; 0 .. 2 * W) { foreach (y; 0 .. W) { writef("%s%4s%s", vis[x][y] ? "[" : " ", 1 + x * W + y, vis[x][y] ? "]" : " "); } writeln(); } writeln(); } return; */ try { for (; ; ) { const N = readToken().to!BigInt; int ans; if (N <= 20 * 20) { ans = solveSmall(cast(int)(N)); } else { foreach (W; [8, 14, 17, 19, 20]) { auto vis = new bool[W^^2]; bool ok; void dfs(BigInt n) { if (n <= N && !isPrime(n)) { if (N - n >= W^^2) { ok = true; return; } if (!vis[cast(int)(N - n)]) { vis[cast(int)(N - n)] = true; const y = cast(int)((n - 1) % W); dfs(n - W); dfs(n + W); if (0 <= y - 1) { dfs(n - 1); } if (y + 1 < W) { dfs(n + 1); } } } } dfs(N); if (ok) { ans = W; break; } } } writeln(ans); } } catch (EOFException e) { } }