Question about primitive variables.

[Nirelg]

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

To be honest, when I am doing the same thing you do, I am getting different results...
when I use "**" my program works as it should:

print id(2**8)
print id(2**8)
print id(2**9)
print id(2**9)

Output:
44072652
44072652
44819164
44819152

Yet when i write it like this:

print id(256)
print id(256)
print id(512)
print id(512)

Output:
45252300
45252300
45998848
45998848

Even the ints above 256 have the same id.
I tried it both with larger numbers and from cmd with the same result...
any idea why it works like this?