Results 1 to 2 of 2

Math Help - a^3+b^3=c^3

  1. #1
    Junior Member
    Joined
    Feb 2008
    From
    Melbourne
    Posts
    27

    a^3+b^3=c^3

    Whose hypothesised that there was no natural solution to:

    <br /> <br />
  a^3  + b^3  = c^3  \hfill \\<br />

    <br />
  a,b,c \in N \hfill \\ <br />
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by Charbel View Post
    Whose hypothesised that there was no natural solution to:

    <br /> <br />
  a^3  + b^3  = c^3  \hfill \\<br />

    <br />
  a,b,c \in N \hfill \\ <br />
    Fermat. The proof is not easy. Probably the best way to prove this is to work in \mathbb{Z}[\omega] = \{ a + b\omega|a,b\in \mathbb{Z} \} where \omega = e^{2\pi i/3} called the Eisenstein integers. And even that proof is not so trivial.
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum