#include using namespace std; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) begin(v),end(v) template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } using ll = long long; using pii = pair; constexpr ll INF = 1ll<<30; constexpr ll longINF = 1ll<<60; constexpr ll MOD = 1000000007; constexpr bool debug = false; //---------------------------------// std::vector sieve(int n) { std::vector res; std::vector is_prime(n + 1, true); is_prime[0] = is_prime[1] = false; for (int i = 2; i * i <= n; i++) { if (!is_prime[i]) continue; for (int j = i * i; j <= n; j += i) is_prime[j] = false; } for (int i = 2; i <= n; ++i) if (is_prime[i]) res.emplace_back(i); return res; } int main() { int N; cin >> N; auto primes = sieve(N); int ans = 0; for (int p1 : primes) { if (p1 * p1 > N << 1) break; for (int p2 : primes) { auto it = lower_bound(ALL(primes), p1 * p1 - p2); if (it != primes.end() && *it + p2 == p1 * p1) ++ans; } } cout << ans << endl; }