My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum

LinkBack Thread Tools Display Modes
February 20th, 2015, 01:16 AM   #11
Banned Camp
Joined: Dec 2012

Posts: 1,028
Thanks: 24

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:


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 ?
complicatemodulus is offline  

  My Math Forum > College Math Forum > Number Theory

flt, skull, table

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Table of values/Value table Pumaftw Elementary Math 14 November 13th, 2014 08:02 AM
Sinus, table ungeheuer Algebra 14 December 6th, 2012 12:49 PM
Euler's table fran1942 Calculus 2 June 6th, 2012 08:50 AM
How do I draw a "table of best fit" (line of best fit/table) skavorn Advanced Statistics 6 March 5th, 2010 09:05 AM
p*p table Andres Algebra 2 February 25th, 2008 11:24 AM

Copyright © 2019 My Math Forum. All rights reserved.