I got this comment (in purple):
It is well-known that 1024/8 equals 128, not 127; in fact, the very division is a little silly, because it is practically checking up what the 7th power of 2 is (after all, 8 is the cube of 2), so it couldn't have been an odd number, because all powers of 2, like all powers of all even numbers, are necessarily even!
Not only that, but you then also calculated that 137 times 8 equals 1096, and subtracted 1024 from it, whereas you found nothing wrong with the result being (obviously) 72, despite the fact that you had reached 137 times 8 from a blatant addition of 10 to the erroneous quotient of 127, which would necessitate a difference of 80, since 10 times 8, obviously, equals 80... Instead, you simply added another 8 for good measure!
So, yes I miscalculated, but as someone pointing out; "The Law of Fives is never wrong". And, this miscalculation may exactly point out, where the magic lays of the extra "8" (127 vs 128), deciding if an electron will emit or absorb a photon.