Nothrow not working, even with correct header? (GCC C++)

Question

For the life of me I can't fiqure out why nothrow isn't working. I've tried different headers. Also interchanged the the new and memory headers and still the same output:

0x61ff50    6422400
How many numbers would you like to type: 1000000000

terminate called after throwing an instance of 'std::bad_array_new_length'
  what():  std::bad_array_new_length

Any ideas on what I'm doing wrong? I'm looking for a way to give a nothrow without the program crashing and using an arbitrary value for array size. Seems I have to use an array within the max size, which will bring stability to the program and thus I'm not able to test out the nothrow object; leaving me the only option of using the exception.

#include <iostream>
#include <memory> 
#include <new>    // also either/or this 


using namespace std ;

int main ()
{
    int i, n ;

    int *p ;

    cout << p << "    " << *p << endl ;


    cout << "How many numbers would you like to type: " ;

    cin >> i ;


    p = new (nothrow) int[i] ;

    if (!p)
    {
        cout << "Error: memory could not be allocated" ;
    }

    else
    {
        for (n = 0 ; n < i ; n ++)
        {
            cout << "Enter number: " ;

            cin >> p[n] ;
        }
        cout << endl << p << endl << *p << endl ;
        cout << "You have entered: " ;

        for (n = 0 ; n < i ; n++ )
            cout << p[n] << ", " ;


        delete[] p ;

        cout << endl << p << "   " << *(p + 0) << endl ;

        p = nullptr ;

        cout << endl << p << endl ;

        p = &i ;

        cout << endl << p << "    " << *p ;

    }

    cin.get() ;

    return 0 ;
}