An amusing observation, which people often argued about
on USENET news back
in the 1990s, is that Fermat's last theorem
is false in
. For example,
has a nontrivial solution, namely
, , and
. Here is a cube
root of in
. Note that it takes some work to prove that there
is a cube root of in
(see Exercise 10).

William Stein
2012-09-24