// デバッグ
#include<bits/stdc++.h>
using namespace std;

using ll = long long;

#define TYPE_OF( VAR ) remove_const<remove_reference<decltype( VAR )>::type >::type
#define UNTIE ios_base::sync_with_stdio( false ); cin.tie( nullptr ) 
#define CEXPR( LL , BOUND , VALUE ) constexpr const LL BOUND = VALUE 
#define CIN( LL , A ) LL A; cin >> A 
#define ASSERT( A , MIN , MAX ) assert( MIN <= A && A <= MAX ) 
#define CIN_ASSERT( A , MIN , MAX ) CIN( TYPE_OF( MAX ) , A ); ASSERT( A , MIN , MAX ) 
#define FOR( VAR , INITIAL , FINAL_PLUS_ONE ) for( TYPE_OF( FINAL_PLUS_ONE ) VAR = INITIAL ; VAR < FINAL_PLUS_ONE ; VAR ++ ) 
#define QUIT return 0 
#define RETURN( ANSWER ) cout << ( ANSWER ) << "\n"; QUIT 

#define CHECK_REDUNDANT_INPUT string VARIABLE_FOR_CHECK_REDUNDANT_INPUT = ""; cin >> VARIABLE_FOR_CHECK_REDUNDANT_INPUT; assert( VARIABLE_FOR_CHECK_REDUNDANT_INPUT == "" ); assert( ! cin );
// #define CHECK_REDUNDANT_INPUT string VARIABLE_FOR_CHECK_REDUNDANT_INPUT = ""; getline( cin , VARIABLE_FOR_CHECK_REDUNDANT_INPUT ); assert( VARIABLE_FOR_CHECK_REDUNDANT_INPUT == "" ); assert( ! cin );

int main()
{
  CEXPR( ll , bound_N , 100000000 );
  CIN_ASSERT( N , 1 , bound_N );
  CHECK_REDUNDANT_INPUT;
  // (pa+b)/(p^2-1) > 1/N
  // <=> N(pa+b) > p^2-1
  // <=> p^2 - Nap - (Nb+1) < 0
  // <=> Na/2 - (sqrt((Na)^2+4(Nb+1)))/2 < p < Na/2 + (sqrt((Na)^2+4(Nb+1)))/2
  ll answer = 0;
  ll Na = -N;
  CEXPR( ll , bound_ab , 10 );
  CEXPR( ll , bound_p , 1000000000 );
  FOR( a , 0 , bound_ab ){
    Na += N;
    ll Na2 = Na * Na;
    double Na_half = Na / 2.0;
    ll Nb_plus = -N + 1;
    FOR( b , 0 , bound_ab ){
      Nb_plus += N;
      double r = sqrt( Na2 + 4 * Nb_plus ) / 2.0;
      ll low = Na_half - r;
      if( low * low - Na * low - Nb_plus >= 0 ){
	low++;
      }
      low = max( max( max( a , b ) + 1 , (ll)2 ) , low );
      ll upp = Na_half + r;
      if( upp * upp - Na * upp - Nb_plus >= 0 ){
	upp--;
      }
      upp = min( bound_p , upp );
      if( low <= upp ){
	answer += upp - low + 1;
	// デバッグ用
	for( ll p = low ; p <= upp ; p++ ){
	  cout << "(p,a,b) = (" << p << "," << a << "," << b << ")" << endl;
	  assert( ( p * a + b ) * N > p * p - 1 );
	  assert( 2 <= p && a <= p - 1 && b <= p - 1 && p <= bound_p );
	}
      }
    }
  }
  RETURN( answer );
}