#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int INF = 1e9;
const ll LINF = 1e18;
template<class S,class T> ostream& operator << (ostream& out,const pair<S,T>& o){ out << "(" << o.first << "," << o.second << ")"; return out; }
template<class T> ostream& operator << (ostream& out,const vector<T> V){ for(int i = 0; i < V.size(); i++){ out << V[i]; if(i!=V.size()-1) out << " ";} return out; }
template<class T> ostream& operator << (ostream& out,const vector<vector<T> > Mat){ for(int i = 0; i < Mat.size(); i++) { if(i != 0) out << endl; out << Mat[i];} return out; }
template<class S,class T> ostream& operator << (ostream& out,const map<S,T> mp){ out << "{ "; for(auto it = mp.begin(); it != mp.end(); it++){ out << it->first << ":" << it->second; if(mp.size()-1 != distance(mp.begin(),it)) out << ", "; } out << " }"; return out; }

/*
 <url:>
 問題文============================================================
 =================================================================
 解説=============================================================
 ================================================================
 */

const ll MAX_PRIME = 500050;
vector<int> primes;
vector<int> is_prime(MAX_PRIME + 1,true);
void init_primes(){
    is_prime[0] = is_prime[1] = false;
    for(int i = 2; i <= MAX_PRIME;i++){
        if(is_prime[i]){
            primes.push_back(i);
            for(int j = i*2; j <= MAX_PRIME; j+=i) is_prime[j] = false;
        }
    }
}

int dp[4][MAX_PRIME];
int dp1[4][MAX_PRIME];
int dp2[4][MAX_PRIME];

ll solve(){
    init_primes();
    ll res = 0;
    ll N; cin >> N;
    dp[0][0] = 1;
    
    for(int i = 0; i < primes.size();i++){
        if(N < primes[i]) continue;
        
        int j = 2;
        for(int k = 2*primes[i]; k >= 0;k--){
            if(dp[j][k] == 0) continue;
            dp[j+1][k+primes[i]] += dp[j][k];
        }
        j = 1;
        for(int k = primes[i]; k >= 0; k--){
            if(dp[j][k] == 0) continue;
            dp[j+1][k+primes[i]] += dp[j][k];
        }
        j = 0;
        dp[j+1][primes[i]] += dp[j][0];
//        for(int j = 2; j >= 0;j--){
//            for(int k = 3*primes[i]; k >= 0;k--){
//                if(dp[j][k] == 0) continue;
//                dp[j+1][k+primes[i]] += dp[j][k];
//            }
//        }
    }
    for(int i = 0; i <= 3*N;i++){
        if(is_prime[i]){
            res += dp[3][i];
        }
    }

    
    //    ll Lim = upper_bound(primes.begin(),primes.end(),N) - primes.begin();
    //    dp1[0][0] = 1;
    //    for(ll i = 0; i < Lim/2;i++){
    //        //if(N < primes[i]) continue;
    //        for(int j = 2; j >= 0;j--){
    //            for(int k = 3*primes[i]; k >= 0;k--){
    //                if(dp1[j][k] == 0) continue;
    //                dp1[j+1][k+primes[i]] += dp1[j][k];
    //            }
    //        }
    //    }
    //    cout << "ok" << endl;
    //
    //    dp2[0][0] = 1;
    //    for(ll i = Lim/2; i < Lim;i++){
    //        for(int j = 2; j >= 0;j--){
    //            for(int k = 3*primes[i]; k >= 0;k--){
    //                if(dp2[j][k] == 0) continue;
    //                dp2[j+1][k+primes[i]] += dp2[j][k];
    //            }
    //        }
    //    }
    //    cout << "ok2" << endl;
    //    for(ll k1 = 0; k1 <= 3*primes[Lim/2];k1++){
    //        for(ll k2 = 3*primes[Lim/2]; k2 <= 3*N;k2++){
    //            if(is_prime[k1+k2]){
    //                res += dp1[1][k1]*dp2[2][k2];
    //                res += dp1[2][k1]*dp2[1][k2];
    //            }
    //        }
    //    }
    //
    //    for(int i = 0; i <= 3*N;i++){
    //        if(is_prime[i]){
    //            res += dp1[3][i];
    //            res += dp2[3][i];
    //        }
    //    }
    //
    return res;
}
int main(void) {
    cin.tie(0); ios_base::sync_with_stdio(false);
    cout << solve() << endl;
    return 0;
}