#include namespace DECLARATIONS { using namespace std; using ll = long long; using PI = pair; template using V = vector; using VI = V; #define _1 first #define _2 second #ifdef MY_DEBUG # define DEBUG(x) x #else # define DEBUG(x) #endif template inline void debug(T &A) { DEBUG( for (const auto &a : A) { cerr << a << " "; } cerr << '\n'; ) } template inline void debug_dim2(T &A) { DEBUG( for (const auto &as : A) { debug(as); } ) } template inline void debug(const char *format, Args const &... args) { DEBUG( fprintf(stderr, format, args ...); cerr << '\n'; ) } template string format(const std::string &fmt, Args ... args) { size_t len = std::snprintf(nullptr, 0, fmt.c_str(), args ...); std::vector buf(len + 1); std::snprintf(&buf[0], len + 1, fmt.c_str(), args ...); return std::string(&buf[0], &buf[0] + len); } } using namespace DECLARATIONS; const int MOD = 1000000007; class PrimeFactorization { public: VI prime, factor; PrimeFactorization(int MAX): factor(MAX + 1) { for (int i = 2; i <= MAX; ++i) { if (factor[i] == 0) { factor[i] = i; prime.push_back(i); } int p = 0; while (p < prime.size() && prime[p] * i <= MAX) { factor[prime[p] * i] = prime[p]; if (prime[p] == i) break; p++; } } } }; int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); int N; cin >> N; int ans = 0; PrimeFactorization pf(N); V rev(N + 1); for (int p : pf.prime) { rev[p] = true; } for (int i = 0; i < pf.prime.size() && pf.prime[i] * pf.prime[i] <= 2 * N; ++i) { int r = pf.prime[i]; for (int p : pf.prime) { int q = r * r - p; // debug("p:%d q:%d r:%d", p, q, r); if (q > 1 && q <= N && rev[q]) ans++; } } cout << ans; }