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February 20th, 2015, 01:16 AM   #11
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Sorry I repost to check using there are no more errors in visualizzation:

Is funny that is clear to evrybody that:



But this live us free to Group the terms as we prefer:



So from n>=2 we can for sure represent as:



in any case, also with (p or q)<n and Even.

In case n is Even we know Fermat is Right by a simple proof.

In case n is an integer ODD we can write in a finite number of combination, of JUST 2 TYPES:

- INVOLVING EVEN POWER(s)
- NOT INVOLVING EVEN POWER(S)

Since we know Even and Odd power can be represented by 2 DIFFERENT SUMS any concernings on the result of FLT operations between , , , MUST SATISFY BOTH:

So in the most simple case n = 3 we can write (the trivial case A*A*A is not interesting):






So we can rewrite using the shown "trapezoidal" or step sums,

then discussing about the fact that given a couple C,B of coprimes

there is just 1 way (and no other way) to re-combine the singles terms of the sum,

while if we have an integer solution of the FLT from n>=3 it means that it comes from 2 different way to combine the terms... (using Odds Sum just, or using also Even Sum)...

Sorry I still have "Math Processing Error" in Explorer 11... so no way to see forumlas (If I use else than [latex] any one has solution for this problem ?
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