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  
Member Joined: Aug 2018 From: România Posts: 90 Thanks: 6  Quote:
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 $\displaystyle z^{nk}<x^{nk}+y^{nk}$ where $\displaystyle k\in \mathbb N$* with $\displaystyle 1\leq k\leq n1$ 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 
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 
Senior Member Joined: Aug 2012 Posts: 2,410 Thanks: 754  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?!


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