#include <bits/stdc++.h>

using namespace std;

vector <long long int> prime;
void eratos()
{
	bool isprime[300005];
	memset(isprime, true, sizeof(isprime));
	for (int i = 2; i <= 300000; i++)
	{
		if (isprime[i])
		{
			prime.push_back(i);
			for (int j = 2 * i; j <= 300000; j += i)
			{
				isprime[j] = false;
			}
		}
	}
}

long long int dp[4][300005];

int main(void)
{
	cin.tie(0);
	ios::sync_with_stdio(false);

	int n;
	long long int res = 0;

	cin >> n;
	eratos();

	for (int i = 0; i < prime.size(); i++)
	{
		if (prime[i] > n) break;
		for (int j = 2; j >= 1; j--)
		{
			for (int k = 2; k <= 3 * prime[i]; k++)
			{
				if (prime[i] + k > 3 * n) break;
				dp[j + 1][prime[i] + k] += dp[j][k];
			}
		}
		dp[1][prime[i]] = 1;
	}

	for (int i = 0; i < prime.size(); i++)
	{
		res += dp[3][prime[i]];
	}

	cout << res << '\n';

	return 0;
}