Integer a =  new Integer(1);
Integer b = new Integer(1);

Integer x = new Integer(1);
Integer y = x;

Date a = new Date(123);
Date b = new Date(123);
System.out.println(a==b); //false
System.out.println(a.equals(b)); //true

Integer w = new Integer(3);
Integer x = new Integer(1);
Integer y = x;
Integer z = new Integer(1);

// all of these evaluate to true
y.equals(x) // it's the same object, of course the content is same
x.equals(z) // different objects, same content (`1`)
z.equals(y)
!w.equals(x); // the content is different (`3` vs `1`)
!w.equals(y);
!w.equals(z);
x == y // same object
z != x // different objects
y != z
w != x