#include<iostream>
#include<cstdio>
#include<cstring>
#include<string>
#include<vector>
#include<cmath>
#include<algorithm>
#include<map>
#include<queue>
#include<deque>
#include<iomanip>
#include<tuple>
#include<cassert>
#include<set>
#include<complex>
#include<numeric>
#include<functional>
#include<unordered_map>
#include<unordered_set>
using namespace std;
typedef long long int LL;
typedef pair<int,int> P;
typedef pair<LL,LL> LP;
const LL INF=1LL<<60;
const LL MAX=1e9+7;

void array_show(int *array,int array_n,char middle=' '){
    for(int i=0;i<array_n;i++)printf("%d%c",array[i],(i!=array_n-1?middle:'\n'));
}
void array_show(LL *array,int array_n,char middle=' '){
    for(int i=0;i<array_n;i++)printf("%lld%c",array[i],(i!=array_n-1?middle:'\n'));
}
void array_show(vector<int> &vec_s,int vec_n=-1,char middle=' '){
    if(vec_n==-1)vec_n=vec_s.size();
    for(int i=0;i<vec_n;i++)printf("%d%c",vec_s[i],(i!=vec_n-1?middle:'\n'));
}
void array_show(vector<LL> &vec_s,int vec_n=-1,char middle=' '){
    if(vec_n==-1)vec_n=vec_s.size();
    for(int i=0;i<vec_n;i++)printf("%lld%c",vec_s[i],(i!=vec_n-1?middle:'\n'));
}
template<typename T> ostream& operator<<(ostream& os,const vector<T>& v1){
    int n=v1.size();
    for(int i=0;i<n;i++){
        if(i)os<<" ";
        os<<v1[i];
    }
    return os;
}
template<typename T1,typename T2> ostream& operator<<(ostream& os,const pair<T1,T2>& p){
    os<<p.first<<" "<<p.second;
    return os;
}
template<typename T> istream& operator>>(istream& is,vector<T>& v1){
    int n=v1.size();
    for(int i=0;i<n;i++)is>>v1[i];
    return is;
}
template<typename T1,typename T2> istream& operator>>(istream& is,pair<T1,T2>& p){
    is>>p.first>>p.second;
    return is;
}

namespace sol{

    void solve(){
        LL n,m;
        LL i,j,k;
        LL a,b,c;
        cin>>n>>k>>m;
        vector<LP> v1;
        a=m;
        for(i=2;i<=1e6;i++){
            for(j=0;a%i==0;j++)a/=i;
            if(j)v1.push_back({i,j});
        }
        if(a>1)v1.push_back({a,1});
        auto calc=[](LL x,LL y)->LL{
            LL p=y;
            LL ss=0;
            for(;p<=x;p*=y){
                ss+=x/p;
                if(INF/p<=y-1)break;
            }
            return ss;
        };
        LL s=n;
        for(auto node:v1){
            a=node.first,b=node.second;
            c=calc(n,a)-calc(n-k,a)-calc(k,a);
            c=max(c,0LL);
            s=min(s,c/b);
        }
        cout<<s<<endl;
    }
}

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    sol::solve();
}