#include<stdlib.h>
#include<stdio.h>
#include<iostream>
#include<fstream>
#include<math.h>
using namespace std;
int n;
int p[1000001];
/*p[i]= how many numbers are smaller than i
eg: n=10 => p={0,1,2,3,4,5,6,7,8,9}
*/
void initiate_p(){
for(int i=1;i<=n;i++) p[i]=i-1;
}
/*
p={0,1,2,3,4,5,6,7,8,9}
i=2 j=4 => 2*2=4 =>p[2]=p[4]-[2]=3-1=2
...
p={0,1,2,2,4,4,6,6,8,9}
i=3 => p={0,1,2,2,4,2,6,6,6,8}
i=4=> p={0,1,2,2,4,2,6,4,6,8}
i=5 j=10
pt 5 avem 4 nr prime cu el, mai mici decat 5: {1,2,3,4}. p[5]=4
10=2*5 => 2*1, 2*2, 2*3, 2*4 nu sunt prime cu 10
=> p[j]=p[j]-p[i]
=>p={0,1,2,2,4,2,6,4,6,4}
dc aveam i=5 j=15 => 5*3=15, cu aceleasi nr prime pt 5, mai mici decat 5: {1,2,3,4}
=> 3*1, 3*2, 3*3, 3*4 nu sunt prime cu 15
*/
void find_no_of_primes_with_each_no(){
for(int i=2;i<=n;i++)
for(int j=i*2;j<=n;j=j+i)
p[j]=p[j]-p[i];
}
long long sum(){
long long s=0;
for(int i=0;i<=n;i++) s=s+p[i];
s=s*2; // (1,2) prime intre ele => 1/2 si 2/1, etc =>s=s*2
s=s+1; // 1/1
return s;
}
int main(){
ifstream in; ofstream out;
in.open("fractii.in"); out.open("fractii.out");
out.clear();
in>>n;
initiate_p();
find_no_of_primes_with_each_no();
out<<sum();
return 0;
}