Beal's Conjecture goes like this, and Beal — who created the equation — says there are no solutions:
ax + by = cz
where A, B, C, x, y and z are positive integers and x, y and z are all greater than 2, then A, B and C must have a common prime factor. The challenge is to either solve that conjecture or come up with a counter-example. Is there a solution?
help!