#include <iostream>
#include <math.h>
#include <vector>
using namespace std;
typedef long long LL;
int IsPrime (int n)
{
    int i;
	if (n < 2){
        return 0;
	}else if (n == 2){
        return 1;
	}
	if (n % 2 == 0){
        return 0;
	}
	double sqrtNum = sqrt((double)n);
	for (i = 3; i <= sqrtNum; i += 2){
		if (n % i == 0 ){
            return 0;
		}
	}
    return 1;
}
int main(int argc, char* argv[])
{
	int N;
	cin>>N;
	int i,j,k;
	LL ans=0;
	vector<int> Prime;
	for (i=3;i<=N;i+=2){
		if (IsPrime(i)){
			Prime.push_back(i);
		}
	}
	int PrimeNum=Prime.size();
	for (i=0;i<PrimeNum-2;i++){
		for (j=i+1;j<PrimeNum-1;j++){
			for (k=j+1;k<PrimeNum;k++){

				if (IsPrime(Prime[i]+Prime[j]+Prime[k])){
					ans++;
				}
			}
		}
	}

	cout<<ans<<endl;
	return 0;
}