#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using P = pair; constexpr int INF = 1001001001; constexpr int mod = 1000000007; // constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } struct ExtendedSieve{ vector table; const int n; ExtendedSieve(int n) : n(n) { table.assign(n + 1, 0); table[0] = table[1] = 1; for(int i = 2; i <= n; ++i){ if(table[i] > 0) continue; table[i] = i; for(int j = i + i; j <= n; j += i){ if(table[j] == 0) table[j] = i; } } } int operator[](const int& k){ return table[k]; } bool is_prime(int x){ if(x < 2) return false; return x == table[x]; } map prime_factorization(int x){ map res; while(x > 1){ ++res[table[x]]; x /= table[x]; } return res; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int n, p; cin >> n >> p; if(p == 1){ cout << 1 << endl; return 0; } ExtendedSieve sieve(n); auto prime = sieve.prime_factorization(p); vector used(n + 1); for(auto [key, val] : prime){ for(int i = key; i <= n; i += key){ if(used[i]) continue; used[i] = true; int x = i; while(x > 1){ prime[sieve[x]] += 1; x /= sieve[x]; } } } int ans = 0; for(int i = 1; i <= n; ++i) ans += used[i]; cout << ans << endl; return 0; }