# Puzzle: Name that Theorem

SteveRives
I am thinking of a famous formula related to number theory, but I have reworded it (this may not be original to me -- I don't know). Can you name the theorm:

If a, b, c and n are positive integers, then

$$a^{n}=\int_{b}^{c}n{x^{n-1}}dx$$

has no solutions for any $$n > 2$$. Maybe we can submit our answers in white font letters!

Enjoy,

Steve Rives