Inspired from AIME problem 6

Geometry Level 5

\[ s = \prod_{k=1}^{45} \left ( \csc^2(2k-1) + 3 \right ) \]

Angles measured in degrees.

If \(2s-1 = m^{mn} \) with positive integers \(m,n\) and \(m\) is not a prime, find \(m+n\).

×

Problem Loading...

Note Loading...

Set Loading...