Re: Interesting page for the number crunchers
- Thanks for an interesting pointer, Jon.
They key point is Faltings' proof (1983)
of the Mordell conjecture:
there are only finitely
many rational points on any
curve of genus greater than one.
So hunting for *integer* solutions to
(x^n-1)/(x-1)=y^2 for n>3
beyond the obvious
is likely to be *very* unrewarding.
I do not recommend that folk spend
cycles on it. If you do, take
n>5, since Elkies must have
thrashed n=4,5 close to death.