suppose that you discovered some material from another universe that obeyed the following restrictions on quantum numbers:

n = positive odd integers
l = 0, 1, 2, ..., n + 1
ml = +l or –l
ms = +½
assume that the energy of the orbitals increases with n and then l.
(a) what would be the atomic numbers of the first three noble gases in that universe?
(b) what would be the atomic numbers of the first three halogens?

n = 1

l = 0,.......1, .....................2
ml = 0....-1, 1............ .-2.... 2
ms = 1/2..1/2,1/2........,1/2, 1/2
If I've done this right, the first full shell is 1 and the second is 3, Third one is 5 but that sounds a little screwy.
You work on the others. What did you get?