December 22nd, 2015, 04:32 AM  #1 
Newbie Joined: Sep 2015 From: Perth Posts: 18 Thanks: 3  Is trying to prove Fermat's last theorem by an elementary technique pointless?
Is it? Would it be more fulfilling for me to try to understand the proof by Wiles? I realise this would take a lot of study. 
December 22nd, 2015, 06:44 AM  #2 
Senior Member Joined: Apr 2015 From: Barto PA Posts: 170 Thanks: 18 
"Is trying to prove Fermat's last theorem by an elementary technique pointless? Is it?" Only if one fails to make a point. 
December 22nd, 2015, 06:57 AM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,502 Thanks: 2511 Math Focus: Mainly analysis and algebra 
My point of view is that:

December 22nd, 2015, 10:44 AM  #4 
Senior Member Joined: Aug 2012 Posts: 2,082 Thanks: 595  
December 22nd, 2015, 11:12 AM  #5 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,502 Thanks: 2511 Math Focus: Mainly analysis and algebra  
December 22nd, 2015, 11:34 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 19,885 Thanks: 1835  
December 22nd, 2015, 02:46 PM  #7 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894  And there is no reason to think Fermat did find a proof. The only evidence is an off hand reference written in a margin of a book. But it does appear that he published proofs of the theorem for n= 3 and n= 4 after he wrote that reference. If he had a proof for all n, he would not have done that.

December 22nd, 2015, 04:01 PM  #8  
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,882 Thanks: 1088 Math Focus: Elementary mathematics and beyond  Quote:
 
December 22nd, 2015, 07:23 PM  #9 
Senior Member Joined: Apr 2015 From: Barto PA Posts: 170 Thanks: 18 
Amateur hour is almost over.

January 4th, 2016, 08:17 AM  #10 
Senior Member Joined: Sep 2010 Posts: 221 Thanks: 20  If you feel a push inside to do it you may try as a challenge for yourself. But do not hope to end up with generally accepted proof. Nobody would even read it to the point of fatal error unless it will appear at the very beginning.


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