Fermat's Last Theorem Explained for Everybody.  NATURAL SOLUTION 
Ion Murgu Fermat's Last Theorem Solution stand up in 3 Equations as
appear in first time on Internet.
1) X^2 + Y^2 = Z^2 2) (kX)^2 + (kY)^2 = (kZ)^2 All ABSOLUTE TRUTH rank 3) kX^2 + kY^2 = kZ^2

Explanation for everybody:
Every 2 Integers X,Y can to be related into Pythagorean relation as 1) with Z integer or irrational
, this cover all integers because also every Z integer can be related to 2 X,Y integers or irrational .
(We need it only for validate 1)
(The cases for which X,Y,Z can't to be related an Pythagorean relation for a right triangle
will be excluded very simple at the end.)
Now for every X,Y,Z which can to be related as in 1), 2) or 3) and all integers can :
we can write X^n + Y^n = Z^n as (X^2)(X^(n2)) +(Y^2)(Y^(n2)) = (Z^2)(Z^(n2))
in conformity with 2) and 3) ( relations 1), 2) , 3) are ABSOLUTE TRUTH)
which imply (X^(n2)) =(Y^(n2)) = (Z^(n2)) = k or k^2 which imply X=Y=Z =0
X^n +Y^n =Z^n false
Now for cases what made all of us to luck all around
I) X+Y > Z contained also in Pythagorean relations X^2 + Y^2  2XYcos a= Z^2 but to pass it
If X+Y > Z the powers (if are the same) are increasing inequality and with how powers will be biggest
inequality more biggest will be.
II) X+Y< Z the same
III) X+Y =Z X^n +Y^n < Z^n and inequality is increasing also with the power
we don't have any conjectures there, will be a divergent to infinity.
Fermat, maybe wanted to send it in another direction but him was catch into proper web.
I explained also where him wanted to send , and you will meet it into
(The Wizard of Evergreen Terrace  The Simpson  Season 10  Episode 2 )
The method of work and calculus for very Big numbers need maybe a little retoush.
Thanks! See For It EXACTING INFINITY. OR A METHOD TO GET INFINITY.
ION MURGU CIRCLES PARADOX HELPED A LOT THERE, BUT SOLUTION IS UP.
I solved Fermat's Last Theorem for a long time , I send it To Math Academy's , Nobel Institution and ..
also I placed it on internet , google, youtube, facebook , but I see to be hided.
You will have here where:
https://youtu.be/0BmXwyKhLU (Published on Sep 3, 2015); https://youtu.be/rmi9igOxLeo (Published on Sep 3, 2015): https://youtu.be/rwGmwX2r6xQ (Published on Sep 6, 2015), https://youtu.be/9cAhh6m3yA (Published on Sep 7, 2015)," https://youtu.be/KrxfVRyXtKI "(Published on Sep 15, 2015) and more but the last was https://youtu.be/hN_KKH_QQvI (Published on Sep 21, 2015)
But Down Here I am Happy to say working at Fermat and My Theory I get for Humanity an "Miracle " Number
A new Pi into our life . SEE "http://www.climaticdisorder.com/test/tungu.htm"
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