C++ Pointer to an Array

Question

int array[]{1,31,36,65,96,65};
int * array_ptr(array);
cout << "array :" << array << endl;
cout << "&array+1 :" << &array+1 << endl;
cout << "*(&array+1) :" << *(&array+1) << endl;
cout << "(*(&array+1)-array) :" << (*(&array+1)-array) << endl;

output :

 

array :0x7fffffffde20

&array+1 :0x7fffffffde38

*(&array+1) :0x7fffffffde38

(*(&array+1)-array) :6

*(&array+1) and &array+1 refer to the same memory location.

 

compiler throwing an exception while trying to get the size of the array using a pointer as ((&array+1) - array)

 

what is the difference between ((&array+1)-array) and (*(&array+1)-array)