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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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 quasi Posts: 11,740 Registered: 7/15/05
Re: From Fermat little theorem to Fermat Last Theorem
Posted: Dec 31, 2012 3:51 AM

John Jens wrote:

>I intentionally choose a < p ,there's no crime to choose
>an a natural, a < p.

Right.

So let's assume you've proved that with the conditions

p prime, p > 2
a,b,c positive integers with a < p

the equation a^p + b^p = c^p cannot hold.

>If for a < p ,a,b,c, naturals , we can multiply the
>inequality a^p + b^p != c^p with any rational number,
>it will remain a inequality.

p prime, p > 2
a,b,c positive rationals with a < p

that the equation a^p + b^p = c^p cannot hold.

You are making a rather blatant logical error.

Assume that there exist a,b,c,p with the conditions

p prime, p > 2
a,b,c positive rationals with a < p

such that a^p + b^p = c^p.

You can scale a,b,c up to get positive integers A,B,C
such that A^p + B^p = C^p, but in scaling up, you can no
longer guarantee A < p, so there's no contradiction.

quasi

Date Subject Author
11/27/12 John Jens
11/27/12 quasi
11/27/12 John Jens
11/27/12 quasi
11/27/12 Pubkeybreaker
11/28/12 John Jens
11/28/12 quasi
11/28/12 John Jens
11/28/12 Frederick Williams
11/28/12 John Jens
11/29/12 David Bernier
11/29/12 Michael Stemper
11/28/12 Ki Song
11/28/12 John Jens
11/28/12 gus gassmann
11/28/12 John Jens
11/28/12 Ki Song
11/28/12 quasi
11/29/12 Pubkeybreaker
11/28/12 John Jens
11/28/12 quasi
12/1/12 vrut25@gmail.com
12/2/12 John Jens
12/2/12 quasi
12/2/12 quasi
12/29/12 John Jens
12/29/12 J. Antonio Perez M.
12/30/12 John Jens
1/5/13 John Jens
1/5/13 J. Antonio Perez M.
1/5/13 John Jens
1/6/13 Michael Klemm
1/6/13 John Jens
1/6/13 Michael Klemm
1/7/13 John Jens
1/7/13 Michael Klemm
1/7/13 Pubkeybreaker
1/7/13 John Jens
1/7/13 Bart Goddard
1/7/13 Michael Klemm
1/7/13 John Jens
1/7/13 Michael Klemm
1/7/13 John Jens
1/7/13 Michael Klemm
3/7/13 Brian Q. Hutchings
3/14/13 Brian Q. Hutchings
12/29/12 quasi
12/30/12 John Jens
12/30/12 quasi
12/30/12 John Jens
12/30/12 quasi
12/31/12 John Jens
12/31/12 quasi
12/31/12 quasi
1/2/13 Brian Q. Hutchings
1/4/13 John Jens
1/4/13 quasi
1/4/13 John Jens
12/30/12 Pubkeybreaker
12/30/12 John Jens
12/30/12 Pubkeybreaker
11/27/12 wheretogo