Fermat's Last Theorem - what am I missing ?

[Slider2732]

http://gma.yahoo.com/blogs/abc-blogs/billionaire-offers-1-million-solve-math-problem-153508422.html

This is related to FE, because of the possible inclusion of 3D thinking, relating to motors, magnetic vectors and more.
Also, to the $1 Million being offered for solving it 


From the article, the equation is given as Ax+By=Cz

It seems too easy to figure out, hence I posted here to ask opinions and find what i'm missing !


If we relate the X+Y to their regular mathematical planes, i.e. x is horizontal, y is vertical, then z is the Z plane - 45degrees
The equation produces the length of the Z vector for a 3D shape, where x and y will produce a z vector of the combined length and height of the 2D representation. That product is enabled by the inclusion of Cz.

Example - 5x+10y=15z
5 units horizontal, plus 10 units vertical, equals 15 units in the Z plane.

or 2x+3y=5z
whatever you like, the Z plane can be calculated.

The calculation applies to 3D mathematics, from cubes to pyramids to other 3 dimensional representations based on mathematical calculations in that 3D environment.



From the Wiki article here: https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem
"In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than two."

Yeah, in 2D space and with 2D mathematics !
1n+1n=2n etc.
But if we were to write, 1 potato + 1 orange = 2 potato oranges it wouldn't work and neither does the equation, because it gives a+b=c, not a+b= 2ab.
c is wholly another object term, which would be the potato orange GMO Monsanto hybrid thing.
If you focus on the cn, you can not derive an or bn, but we're not given that equation, we're given the correct one for solving cn, from an and bn.
Without cn the object or numbers are flat, but with cn, we now have a 3D model.

[PhysicsProf]

"In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c can satisfy the equation

a^n + b^n = c^n for any integer value of n greater than two."

Note that n is an EXPONENT, and integer >2.   When n = 2, we have the Pythagorean theorem, and there are many solutions, such as 3, 4, 5 for a, b, c, giving
a^n + b^n = c^n
9 +16 = 25.

There are NO such examples for n = 3, or 4, etc. -- that's Fermat's last theorem.

[Slider2732]

Thanks.
Y'know when you wrote about the Pythagorean theorem I was reminded of what Julie said instantly as I mentioned the $1 Million prize equation.
"That sounds like something to do with triangles and Pythagorus"
Think i'll pass it to her lol, we're both normally rubbish at mathematics, but this one piqued interest regardless of the prize.

Seems the article missed out some of the details. Knew it couldn't be as obvious, just not why.

[PhysicsProf]

No problem, Mark.
Speaking of prizes, I still have the TWO gold coins for the 1st to show me  an actual Pout/known-Pin >1 device.
I now live in Missouri, so "show me" implies I gotta take measurements on it (of course).  And gold has dropped, but still quite valuable. And I think it will rise up again! 

[Slider2732]

Either it will, or the people will !
Reckon Brad may win one of those gold coins....some stunning work going on.
Who knows, if you add some more rotors to your setup and some collector coils there, you might end up awarding one to yourself