package q8xx; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.math.BigInteger; import java.util.Arrays; import java.util.InputMismatchException; public class Q840_2 { InputStream is; PrintWriter out; String INPUT = ""; void solve() { String N = ns(); if(N.length() <= 2){ int n = Integer.parseInt(N); if(n == 4 || n == 6 || n == 12 || n == 14 || n == 20 || n == 24){ out.println(n-1); return; } if(n == 21 || n == 25){ out.println(n-2); return; } } if(N.length() <= 3){ int n = Integer.parseInt(N); long[] isp = isp(1005); for(int w = 1;w <= n;w++){ if(check(n, w, isp)){ out.println(w); return; } } } // 8*3*5*7 int Z = 840; BigInteger bn = new BigInteger(N); int mt = bn.mod(BigInteger.valueOf(Z)).intValue(); if(mt == 0)mt += Z; BigInteger base = bn.divide(BigInteger.valueOf(Z)).multiply(BigInteger.valueOf(Z)); if(mt == Z)base = base.subtract(BigInteger.valueOf(Z)); boolean[] ok = new boolean[Z+1]; for(int num = 1;num <= Z;num++){ if(num > mt){ ok[num] = false; }else if(num == mt){ ok[num] = true; }else if(num % 3 == 0 || num % 5 == 0 || num % 2 == 0 || num % 7 == 0){ ok[num] = true; }else{ BigInteger x = base.add(BigInteger.valueOf(num)); if(x.isProbablePrime(30)){ ok[num] = false; }else{ ok[num] = true; } } } out.println(check(mt, 8, ok) ? 8 : 14); } static boolean check(int n, int w, boolean[] ok) { DJSet ds = new DJSet(n+1); for(int j = 1;j <= n;j++){ if(j+1 <= n && j%w != 0 && ok[j] && ok[j+1]){ ds.union(j, j+1); } if(j+w <= n && ok[j] && ok[j+w]){ ds.union(j, j+w); } } for(int i = 1;i <= w;i++){ if(ok[i] && ds.equiv(i, n))return true; } return false; } static boolean check(int n, int w, long[] isp) { DJSet ds = new DJSet(n+1); for(int j = 1;j <= n;j++){ if(j+1 <= n && j%w != 0 && isp[j>>>6]<<~j>=0 && isp[j+1>>>6]<<~(j+1)>=0){ ds.union(j, j+1); } if(j+w <= n && isp[j>>>6]<<~j>=0 && isp[j+w>>>6]<<~(j+w)>=0){ ds.union(j, j+w); } } return ds.equiv(1, n); } public static long[] isp(int n) { int[] tprimes = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61}; if(n <= 64){ long ptn = 0; for(int p : tprimes)if(p <= n)ptn |= 1L<<p; return new long[]{ptn}; } long[] isnp = new long[(n+1)/64+1]; int sup = (n+1)/64+1; isnp[0] |= 1<<1; for(int tp : tprimes){ long[] ptn = new long[tp]; for(int i = 0;i < tp<<6;i+=tp)ptn[i>>>6] |= 1L<<i; for(int j = 0;j < sup;j += tp){ for(int i = 0;i < tp && i+j < sup;i++){ isnp[j+i] |= ptn[i]; } } } final int[] magic = {0, 1, 2, 53, 3, 7, 54, 27, 4, 38, 41, 8, 34, 55, 48, 28, 62, 5, 39, 46, 44, 42, 22, 9, 24, 35, 59, 56, 49, 18, 29, 11, 63, 52, 6, 26, 37, 40, 33, 47, 61, 45, 43, 21, 23, 58, 17, 10, 51, 25, 36, 32, 60, 20, 57, 16, 50, 31, 19, 15, 30, 14, 13, 12}; out: for(int i = 0;i < sup;i++){ for(long j = ~isnp[i];j != 0;j &= j-1){ int p = i<<6|magic[(int)((j&-j)*0x022fdd63cc95386dL>>>58)]; if((long)p*p > n)break out; for(int q = p*p;q <= n;q += p)isnp[q>>6] |= 1L<<q; } } for(int i = 0;i < isnp.length;i++)isnp[i] = ~isnp[i]; for(int tp : tprimes)isnp[0] |= 1L<<tp; isnp[isnp.length-1] &= (1L<<n+1)-1; return isnp; } public static class DJSet { public int[] upper; public DJSet(int n) { upper = new int[n]; Arrays.fill(upper, -1); } public int root(int x) { return upper[x] < 0 ? x : (upper[x] = root(upper[x])); } public boolean equiv(int x, int y) { return root(x) == root(y); } public boolean union(int x, int y) { x = root(x); y = root(y); if (x != y) { if (upper[y] < upper[x]) { int d = x; x = y; y = d; } upper[x] += upper[y]; upper[y] = x; } return x == y; } public int count() { int ct = 0; for (int u : upper) if (u < 0) ct++; return ct; } } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new Q840_2().run(); } private byte[] inbuf = new byte[1024]; private int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }