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#include<stdio.h>
#include<algorithm>
#define maxn 1000005
using namespace std;
int n;
long long phi[maxn];
void solve()
{
for(int i=2;i<=n;i++) phi[i]=i;
for(int i=2;i<=n;i++)
if(phi[i]==i)
for(int j=i;j<=n;j+=i)
phi[j]/=i,phi[j]*=(i-1);
for(int i=2;i<=n;i++) phi[i]+=phi[i-1];
}
int main()
{
freopen("fractii.in","r",stdin);
freopen("fractii.out","w",stdout);
scanf("%d",&n);
solve();
printf("%lld",phi[n]*2+1);
fclose(stdin);
fclose(stdout);
return 0;
}