import java.io.*; import java.util.*; import java.util.stream.*; public class Main { public static void main(String[] args) throws Exception { Scanner sc = new Scanner(); int n = sc.nextInt(); boolean[] isNotPrimes = new boolean[n * 3 + 1]; ArrayList primes = new ArrayList<>(); ArrayList bigPrimes = new ArrayList<>(); for (int i = 2; i < isNotPrimes.length; i++) { if (!isNotPrimes[i]) { if (i <= n) { primes.add(i); } bigPrimes.add(i); for (int j = 2; j * i < isNotPrimes.length; j++) { isNotPrimes[j * i] = true; } } } int[] primeArray = new int[primes.size()]; for (int i = 0; i < primes.size(); i++) { primeArray[i] = primes.get(i); } int[] bigPrimeArray = new int[bigPrimes.size()]; for (int i = 0; i < bigPrimes.size(); i++) { bigPrimeArray[i] = bigPrimes.get(i); } HashMap counts = new HashMap<>(); for (int i = 1; i < primeArray.length; i++) { int x = primeArray[i]; for (int j = i + 1; j < bigPrimeArray.length; j++) { int y = bigPrimeArray[j]; counts.put(y - x, counts.getOrDefault(y - x, 0) + 1); } } long ans = 0; for (int i = 1; i < primeArray.length; i++) { int x = primeArray[i]; for (int j = i + 1; j < bigPrimeArray.length; j++) { int y = bigPrimeArray[j]; counts.put(y - x, counts.get(y - x) - 1); } for (int j = 0; j < i; j++) { int y = primeArray[j]; ans += counts.getOrDefault(x + y, 0); } } System.out.println(ans); } } class Utilities { static String arrayToLineString(Object[] arr) { return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n")); } static String arrayToLineString(int[] arr) { return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new)); } } class Scanner { BufferedReader br = new BufferedReader(new InputStreamReader(System.in)); StringTokenizer st = new StringTokenizer(""); StringBuilder sb = new StringBuilder(); public Scanner() throws Exception { } public int nextInt() throws Exception { return Integer.parseInt(next()); } public long nextLong() throws Exception { return Long.parseLong(next()); } public double nextDouble() throws Exception { return Double.parseDouble(next()); } public int[] nextIntArray() throws Exception { return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray(); } public String next() throws Exception { while (!st.hasMoreTokens()) { st = new StringTokenizer(br.readLine()); } return st.nextToken(); } }