quasi
Posts:
12,023
Registered:
7/15/05


Re: From Fermat little theorem to Fermat Last Theorem
Posted:
Nov 27, 2012 2:28 PM


John Jens wrote:
>http://primemath.wordpress.com/
Copying part of the text from the link above (enough to expose the error in Jens' reasoning) ...
>Fermat?s little theorem states that if p is a prime number, >then for any integer a, the number a^p is an integer multiple >of p. > > a^p = a(mod p)
Yes, but note that a^p = a (mod p) does not imply 0 <= a < p.
>Assume that a,b,c naturals and p prime and > > 0 < a <= b < c < p > > ... > >So we can?t find naturals 0 < a <= b < c < p with p prime to >satisfy a^p + b^p = c^p.
Sure, but that doesn't even come close to proving Fermat's Last Theorem. All you've proved is the trivial result that if a,b,c are positive integers with p prime such that a^p + b^p = c^p then c >= p.
quasi

