Fermats Last Theorem

Number Theory Level 3

For the following statement, how many possible values are there for $n$ ; where $A,B$ , $C$ and $n$ are all positive integers and all numbers are real, including $n$ .

$A^{n} + B^{n} = C^{n}$

1 7 Infinitely Many 2

2 solutions

Kay Xspre
Feb 18, 2016

I wish to observe that for positive $n$ , only two values are possible, but for negative $n$ , another two will resurface: -1 and -2. One example is $3^{-1}+6^{-1} = 2^{-1}$ , and $15^{-2}+20^{-2} = 12^{-2}$

Jonathan Power
Feb 18, 2016

Proof of concept and explanation behind the question.

Fermt's Last Theorem

Fermats Last Theorem

2 solutions

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