Stacked and nested if else statements no moving to next if

I have been searching Stacked/Nested if else statements, elif's don't seem to work for what I need. The Aim is to print all even, square numbers, and cube numbers as well as highlight which ones are both square and Cube. This is the code i have:

import math
rn = 0
d=0
for n in range(1,100,1):
    if rn is 0:
        if n%2 is 0:
            print(n, " is an even number")           
        else:
            rn = 1         
        if math.sqrt(d) is int:
            print(n, " is a square number")
            if n**(1-3) is int:
                print(n, " is a Cube number too")
                continue
            else:
                print(n, "is only a square number")
                continue

        else:
            rn = 1
    if rn is 1:
        if n**(1-3) is int:
            print(n, " is a Cube only number")
        else:
            rn = 0
            continue

The code is not moving on to the next if statements, before incrementing n.

output:

   2  is an even number
   4  is an even number
   6  is an even number

Is there another way to continue or break but staying in the same loop? Thanks in advance