Could this be a memory leak?

Does using a new then setting to null cause memory leaks?

Ive tried the following code but have no idea if it causes any leak or not

#include <iostream>

using namespace std;

int main()
{

   int* x = new int;
   int y = 1;
   x = &y;

   x = nullptr; // has the memory allocated to x gone now?

   x =&y;       // did i recover what was lost?

   delete x;   

   return 0;
}

// the cout<<*x gives 1 as expected