#pragma GCC optimize("O3")
#pragma GCC optimize(2)
#pragma GCC optimize(3)
#pragma GCC optimize("Ofast")
#pragma GCC optimize("inline")
#pragma GCC optimize("-fgcse")
#pragma GCC optimize("-fgcse-lm")
#pragma GCC optimize("-fipa-sra")
#pragma GCC optimize("-ftree-pre")
#pragma GCC optimize("-ftree-vrp")
#pragma GCC optimize("-fpeephole2")
#pragma GCC optimize("-ffast-math")
#pragma GCC optimize("-fsched-spec")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("-falign-jumps")
#pragma GCC optimize("-falign-loops")	
#pragma GCC optimize("-falign-labels")
#pragma GCC optimize("-fdevirtualize")
#pragma GCC optimize("-fcaller-saves")
#pragma GCC optimize("-fcrossjumping") 
#pragma GCC optimize("-fthread-jumps")
#pragma GCC optimize("-funroll-loops")
#pragma GCC optimize("-freorder-blocks")
#pragma GCC optimize("-fschedule-insns")
#pragma GCC optimize("inline-functions")
#pragma GCC optimize("-ftree-tail-merge")
#pragma GCC optimize("-fschedule-insns2")
#pragma GCC optimize("-fstrict-aliasing")
#pragma GCC optimize("-falign-functions")
#pragma GCC optimize("-fcse-follow-jumps")
#pragma GCC optimize("-fsched-interblock")
#pragma GCC optimize("-fpartial-inlining")
#pragma GCC optimize("no-stack-protector")
#pragma GCC optimize("-freorder-functions")
#pragma GCC optimize("-findirect-inlining")
#pragma GCC optimize("-fhoist-adjacent-loads")
#pragma GCC optimize("-frerun-cse-after-loop")
#pragma GCC optimize("inline-small-functions")
#pragma GCC optimize("-finline-small-functions")
#pragma GCC optimize("-ftree-switch-conversion")
#pragma GCC optimize("-foptimize-sibling-calls")
#pragma GCC optimize("-fexpensive-optimizations")
#pragma GCC optimize("inline-functions-called-once")
#pragma GCC optimize("-fdelete-null-pointer-checks")
#pragma GCC optimize("Ofast")
 
 
#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;
}