Brown's Criterion

          Here's something I want to spread
some awareness about : Brown's Criterion.
First I'll talk about powers of two. Every
number can be written out as a sum of the
powers of 2. For example :
37 : 2⁵ + 2² + 2⁰ = 32 + 4 + 1 = 37

          This leads to base 2 being comprised
of purely 1's and 0's, as none of the numbers
have to be repeated. It's either there in the
sum or it's not.
           Brown's Criterion states that this is true
with fibonacchi numbers ! What are those ?
It's a simple series with every next term being
the sum of the last two.

1, 1, 2, 3, 5, 8, 13, 21 ...

            The 13 is from 5 + 8 and the 21 is from
8 + 13. You can continue this to get 34, 55, etc.
Now let's test Brown's Criterion :

18 = 13 + 5
62 = 55 + 5 + 2
63 = 1 + 2 + 3 + 5 + 8 + 13 + 21
             and so on ...

            If you have tried this yourself, you may
find that some numbers have different ways of
being added up, like 18 could also be 8 + 5 + 2 + 3,
or 62 as 34 + 21 + 5 + 2.
            I just thought this was interesting.