S T A T E M E N T: "Butterfly Primes ... ~Prejudicial Numbers~ ... ~metamorphosis~"
I have had a fascination with the visual patterns that numbers often make
in various scenarios. In the process of looking at that most famous of classical
Newtonian physics laws ... the panoramic "Inverse Square Law" ... in its most basic
presentation, that is, in a simple multiplication table in which the simple squaring
of similar sequential numbers from each axis generates the central diagonal line,
the diagonal line of squares ... I became curious as to how those mysteriously
alluring and uncontrollable prime numbers might fit in. Surely, their squares, too,
had some untold secrets.
Finding that the differences in the squares of any and all primes was always a
multiple of 24 was enough to generate some sleepless nights. Digging deeper and
finding that specific sets of complementary 24 multiples acted to actually shepherd
the prime squares along the diagonal squares line was just short of unbelievable.
Surely I was wrong. Many hours over many weeks of testing though seemed to confirm
that I had found a pattern for the primes. Not only that, but the pattern, when all
the accompanying 24 multiples were included, presented as that lovely of all living
forms, flitting here and there ... the butterfly. The "Butterfly Primes" were born.
Now, while the concept in the formation of the "Butterfly Primes" pattern is not
overly technical from a descriptive point of view, it really did not answer the
question that the pattern begs ... why 24 and what does 24 have to do with the primes
on a numerical level?
It was while I was in the middle of the little Q-&-A dialog about prejudicial numbers,
and our attitudes and expectations about them, that this very question came to press
on me in a relentless fashion. What would the difference in the squares of all numbers
(specifically the odds) divided by 24 tell us. What followed was "The Butterfly Prime
Directive ... ~metamorphosis". The answer to the number prejudices of the prime was to
see how all the numbers played out ... given the same and equal opportunity ... to express
their own private specialness. Indeed, what is found was as old as the hills ... as old
as the numbers themselves: Numbers don't lie. They don't cheat and they don't even call
others names. People do.