Question

can you prove that no 3 positive integers of a, b, and c can satisfy the equation a^n + b^n = c^n?

Answer 1

This is only true for n>2.
a^2+b^2=c^2 is the Pythagorean Theorem.
with n>2 it falls into Fermat's Last Theorem.
There is a proof of that, but it is pretty lengthy and I don't know the details of it.

Answer 2

http://www.ams.org/notices/199507/faltings.pdf

Answer 3

thank you, you are a star.. i was interested x