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Topic: Pierre Fermat ever stack rectangles? If so, then he likely had a
proof of FLT #1469 Correcting Math

Replies: 4   Last Post: Jan 27, 2014 1:45 PM

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plutonium.archimedes@gmail.com

Posts: 9,913
Registered: 3/31/08
Re: Pierre Fermat ever stack rectangles? If so, then he likely had a
proof of FLT #1470 Correcting Math

Posted: Jan 27, 2014 5:00 AM
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Since FLT is such an easy proof with condensed rectangles where a number is decomposed into its cofactors as the sides of the rectangle, and the proof mechanism is that in a given particular exponent, we cannot have a C in A+B=C, for if even it misses by a factor of 2X and if odd misses by a factor of 3X because we are confined to a single particular exponent.

Apparently Fermat had worked on stacking rectangles. Anyone familar with the "Figurate Numbers" and when Fermat wrote his famous quote in the margin of a book? Because if Fermat had worked on stacking rectangles, it is likely he would have had a proof of his FLT.


Now I did some searching whether Fermat ever stacked rectangles and came upon these items:


[PDF]
Figurate numbers and sums of numerical powers - Mathematical ...
www.maa.org/.../figurates-sums-project.p...
Mathematical Association...
by D Pengelley - Related articles
Frenchman Pierre de Fermat (1601?1665), wrote to his correspondent Gilles Personne de .... Carry out an analysis with sums of rectangles to approximate the area /. 1. 0 ... We see that its vertical layers consist of n triangular numbers stacked.


[PDF]
Figurate numbers and sums of numerical powers - Department of ...
www.cs.nmsu.edu/.../sums-of-powers-ep3...
New Mexico State Univer...
by D Pengelley - Related articles
Frenchman Pierre de Fermat (1601n1665), wrote to his correspondent Gilles Persone de .... Carry out an analysis with sums of rectangles to approximate the area /. $. # ... We see that its vertical layers consist of n triangular numbers stacked.

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