Question about primitive variables.

[snippsat]

They are both int after all, so why when I write twice 2**2 it gives me the same id yet when I do the same for 2**11 it gives them different ids?

Integers between -5 and 256 are cached in Python.
This optimization strategy makes sense because small integers pop up all over the place,
and given that each integer takes 24 bytes, it saves a lot of memory for a typical program.

So id() show memory address.

>>> help(id)
Help on built-in function id in module builtins:

id(...)
    id(object) -> integer
    
    Return the identity of an object.  This is guaranteed to be unique among
    simultaneously existing objects.  (Hint: it's the object's memory address.)

>>> id(10)
491765920
>>> id(10)
491765920
>>> id(10)
491765920
>>> id(100)
491767360
>>> id(100)
491767360
>>> id(100)
491767360
>>> # Now over 256
>>> id(1000)
58284576
>>> id(1000)
51896640