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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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Michael Klemm

Posts: 80
Registered: 11/13/12
Re: From Fermat little theorem to Fermat Last Theorem
Posted: Jan 7, 2013 4:46 PM
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John Jens wrote:

> a^p?a(mod p)
> a^p = a + px it's obvious that x is positive integer


Yes, and in the same way

b^p = b + py
and
c^p = c + pz.

Up to now you may assume
a^p + b^p = c^p
where p is a prime >= 2
and 0 < a <= b < c,
a, b, c integers.

You correctly conclude in (1) that
a + b - c > 0.

Further by Fermat's little theorem
p (z-x-y) = a + b - c.

Therefore
z-x-y >= 1 and thus
a > a + b - c >= p.

So it seems to me that you also disprove the case p = 2.

Regards
Michael





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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