#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint; //using mint = modint998244353; //const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n) - 1; i >= 0; --i) #define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair 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; } int main() { std::ios::sync_with_stdio(false); std::cin.tie(nullptr); int n; cin >> n; long long p; cin >> p; mint::set_mod(p); vector>d(n + 1); rep2(i, 1, n + 1) { for (int j = i; j <= n; j += i) { d[j].push_back(i);// yakusuuu } } vectordp(n + 1); vectormemo(n + 1, 1); memo[1] = memo[2] = 2; mint sum = 0; rep2(i, 3, n + 1) { mint tmp = 0; for (auto e : d[i]) { sum -= dp[memo[e]]; memo[e] = i; } dp[i] = (sum + i) / (i - d[i].size()); sum += dp[i] * d[i].size(); } cout << dp[n].val() << endl; return 0; }