#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
using i64 = long long;
using u64 = unsigned long long;
using i32 = int;
using u32 = unsigned int;
#define rep(i,n) for(int i=0; i<(n); i++)


vector<pair<u64,u64>> factorize(u64 n){
  vector<pair<u64,u64>> res;
  for(u64 i=2; i*i<=n; i++){
    if(n%i) continue;
    res.push_back({i,0});
    while(n%i==0){ n/=i; res.back().second++; }
  }
  if(n!=1) res.push_back({n,1});
  return res;
}

vector<u64> divs(vector<pair<u64,u64>> F){
  vector<u64> res = {1};
  for(auto f:F){
    int t=res.size() * f.second;
    rep(i,t) res.push_back(res[i] * f.first);
  }
  return move(res);
}

vector<pair<u64,u64>> gcd_frequency(u64 n){
  vector<pair<u64,u64>> ans;
  ans.push_back(make_pair((u64)1, (u64)1));
  for(auto f : factorize(n)){
    vector<pair<u64,u64>> buf;
    u64 multiplier = 1;
    u64 inv_multiplier = 1;
    for(u64 p_idx=0; p_idx<f.second; p_idx++) inv_multiplier *= f.first;
    for(u64 p_idx=0; p_idx<=f.second; p_idx++){
      if(p_idx != 0){
        multiplier *= f.first;
        inv_multiplier /= f.first;
      }
      u64 freq = inv_multiplier;
      if(p_idx != f.second) freq = freq / f.first * (f.first - 1);
      for(auto a : ans) buf.push_back(make_pair(a.first*multiplier, a.second*freq));
    }
    swap(ans, buf);
  }
  return ans;
}

u64 fp(u64 n, u64 p){
    u64 ans = 0;
    while(n){ ans += n / p; n /= p; }
    return ans;
}

int main() {
    u64 N,K,M; cin >> N >> K >> M;
    auto F = factorize(M);
    u64 ans = 5001001001001001001;
    for(auto[ p,e ] : F){
        u64 fpres = fp(N,p) - fp(K,p) - fp(N-K,p);
        fpres /= e;
        ans = min(ans, fpres);
    }
    cout << ans << endl;
    return 0;
}



struct ios_do_not_sync{
    ios_do_not_sync(){
        std::ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
    }
} ios_do_not_sync_instance;