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Topic: From Fermat little theorem to Fermat Last Theorem
Replies: 62   Last Post: Mar 14, 2013 9:59 PM

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John Jens

Posts: 24
Registered: 11/27/12
Re: From Fermat little theorem to Fermat Last Theorem
Posted: Jan 7, 2013 10:37 AM
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On Monday, January 7, 2013 3:18:29 PM UTC+2, M_Klemm wrote:
> "John Jens" wrote
>
>
>

> > The reason is to prove FLT .
>
> > Let's split in three steps :
>
> > Step 1--> prove a^p + b^p != c^p with a < p ,a,b,c, naturals
>
> > Step 2--> extend to rationals , still a < p
>
> > Step 3--> pick A >= p, assume A^p + b^p = c^p and scaling down to A/k < p
>
> > ,k rational -->contradiction to step 2
>
>
>

> > If a + b ? c>0 because 0<a?b<c implies b ? c < 0 ,
>
> > 0 ? a + b ? c < a < p
>
> > then a + b ? c ? 1 and because a + b ? c < a implies a ? 2 and because a <
>
> > p implies p > 2 ...
>
> > .... and using binomial theorem
>
>
>
> Is this intended to be a proof of step 1?
>
> If yes, it is essentially correct, because a^p + b^p = c^p together with a <
>
> p implies
>
> a^p + b^p <= a + b^p < p + b^p < (b+1)^p <= c^p, a contradiction.
>
>
>
> The inequality (b+1)^p <= c^p is however not necessaryly true for rational b
>
> and c with b < c.
>
>
>
> Regards
>
> Michael


Yes it's only for step 1 when a,b,c naturals.


Date Subject Author
11/27/12
Read From Fermat little theorem to Fermat Last Theorem
John Jens
11/27/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
11/27/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
11/27/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
11/27/12
Read Re: From Fermat little theorem to Fermat Last Theorem
Pubkeybreaker
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
Frederick Williams
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
11/29/12
Read Re: From Fermat little theorem to Fermat Last Theorem
David Bernier
11/29/12
Read Re: From Fermat little theorem to Fermat Last Theorem
Michael Stemper
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
Ki Song
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
gus gassmann
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
Ki Song
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
11/29/12
Read Re: From Fermat little theorem to Fermat Last Theorem
Pubkeybreaker
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
11/28/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
12/1/12
Read Re: From Fermat little theorem to Fermat Last Theorem
vrut25@gmail.com
12/2/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
12/2/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
12/2/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
12/29/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
12/29/12
Read Re: From Fermat little theorem to Fermat Last Theorem
J. Antonio Perez M.
12/30/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/5/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/5/13
Read Re: From Fermat little theorem to Fermat Last Theorem
J. Antonio Perez M.
1/5/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/6/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Michael Klemm
1/6/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/6/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Michael Klemm
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Michael Klemm
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Pubkeybreaker
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Bart Goddard
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Michael Klemm
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Michael Klemm
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Michael Klemm
3/7/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Brian Q. Hutchings
3/14/13
Read From Fermat little theorem to 'la theoreme "dernier" du Fermat -- and
the next one'
Brian Q. Hutchings
12/29/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
12/30/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
12/30/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
12/30/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
12/30/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
12/31/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
12/31/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
12/31/12
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
1/2/13
Read Re: From Fermat little theorem to Fermat Last Theorem
Brian Q. Hutchings
1/4/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
1/4/13
Read Re: From Fermat little theorem to Fermat Last Theorem
quasi
1/4/13
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
12/30/12
Read Re: From Fermat little theorem to Fermat Last Theorem
Pubkeybreaker
12/30/12
Read Re: From Fermat little theorem to Fermat Last Theorem
John Jens
12/30/12
Read Re: From Fermat little theorem to Fermat Last Theorem
Pubkeybreaker
11/27/12
Read Re: From Fermat little theorem to Fermat Last Theorem
wheretogo

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