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 May 20th, 2019, 01:36 PM #31 Member   Joined: Mar 2019 From: california Posts: 74 Thanks: 0 I figured out how to represent this in terms of the proof. This is to help you understand better. So here's the counter equation. 28^10 + 31 ^10 > 31.24 ^10 ( where 31 is Y +1). May 20th, 2019, 09:16 PM   #32
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Quote:
 Originally Posted by michaelcweir Here is a video I made of a proof of FLT. I have trouble with notation, so I made a YouTube video with handwritten equations and diagrams. Enjoy the read.
Hello,

An idea:

Par exemple , if $\displaystyle z^n=x^n+y^n$ with $\displaystyle z>y>x>0$, that it is very easy to prove that there are the relations $\displaystyle z^{n-k}<x^{n-k}+y^{n-k}$ where $\displaystyle k\in \mathbb N$* with $\displaystyle 1\leq k\leq n-1$ and so $\displaystyle x,y,z$ are the sides of a triangle having all angles smaller than a right angle.

All the best,

Integrator

Last edited by skipjack; May 23rd, 2019 at 12:02 AM. May 20th, 2019, 09:53 PM #33 Senior Member   Joined: Mar 2019 From: iran Posts: 318 Thanks: 14 @michaelcweir if x^n + y^n = z^n then x^n + (y+1)^n is greater than z^n not z^n + x^n unless we assume that z < y+1 Thanks from Denis May 21st, 2019, 10:21 AM #34 Member   Joined: Mar 2019 From: california Posts: 74 Thanks: 0 X^n + (y+1)^n IS GREATER THAN X^n +Y^n. 2 is always bigger than 1, according to elementary math. The only assumption is that there are rules for mathematics. Last edited by skipjack; May 23rd, 2019 at 01:44 PM. May 21st, 2019, 11:08 AM #35 Senior Member   Joined: Mar 2019 From: iran Posts: 318 Thanks: 14 yes x^n + (y+1)^n > z^n but this can't prove y+1 > z at all May 22nd, 2019, 02:14 PM #36 Member   Joined: Mar 2019 From: california Posts: 74 Thanks: 0 Just saying that doesn't make it so. Where's the proof of whet you say? I provided proof how that statement affects the case for n = 2. I provided an example that Maschke used. (By the way, he has been silent of late.) 3^2 + 4^2 = 5^2. BUT 3^3 + 4^3 = 4.1^3 approximately, not 5^3. So there is agreement between calculation and example. Last edited by skipjack; May 23rd, 2019 at 01:46 PM. May 22nd, 2019, 03:45 PM   #37
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Quote:
 Originally Posted by michaelcweir I provided an example that Maschke used. (By the way, he has been silent of late.)
FLT is not generally an interest of mine. I didn't understand your latest diagram at all but others did so I must be just losing steam altogether on this subject.

Last edited by skipjack; May 23rd, 2019 at 01:47 PM. May 23rd, 2019, 01:12 PM #38 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1039 Hey ya'll, you let Mister Weir lose his time the way he wants to, hear?! Thanks from Greens Tags easy, fermat, proof, theorem Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post victorsorokin Number Theory 9 April 19th, 2018 05:31 PM moussaid521 Number Theory 1 December 18th, 2016 09:02 PM mathsman1 Math 14 July 9th, 2016 05:45 PM MrAwojobi Number Theory 20 June 16th, 2014 08:32 PM jhon13 Algebra 4 May 24th, 2012 08:26 AM

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