#include <bits/stdc++.h>
using namespace std;
using int64 = long long;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    int N;
    int P;
    cin >> N >> P;
    vector<int> d(N + 1, 0);
    for (int b = 1; b <= N; ++b) {
        for (int m = b; m <= N; m += b) {
            d[m]++;
        }
    }
    vector<int> inv(N + 2, 0);
    inv[1] = 1;
    for (int i = 2; i <= N + 1; ++i) inv[i] = int64(P - P / i) * inv[P % i] % P;
    vector<vector<int>> vec(N + 1);
    for (int b = 1; b <= N; ++b) {
        for (int m = b; m <= N; m += b) {
            vec[m].push_back(b);
        }
    }
    vector<int> F(N + 1, 0);
    vector<int> E(N + 1, 0);
    E[0] = E[1] = E[2] = 0;
    for (int m = 1; m <= N; ++m) {
        if (m >= 3) {
            int64 numer = (int64)m + F[m];
            if (numer >= P) numer %= P;
            int denom = m - d[m];
            // denom > 0 for m>=3
            E[m] = numer * inv[denom] % P;
        }
        int em = E[m];
        if (em) {
            for (int b : vec[m]) {
                int r = m + b - 1;
                if (r > N) r = N;
                for (int a = m + 1; a <= r; ++a) {
                    F[a] += em;
                    if (F[a] >= P) F[a] -= P;
                }
            }
        }
    }
    cout << E[N] << "\n";
    return 0;
}