How do I prove:
(20<sup>22</sup> - 17<sup>22</sup> + 4<sup>33</sup> - 1) is divisible by 174.
One thing I've noticed is that if you divide all the exponents of the numbers by 11, which would become (20<sup>2</sup> - 17<sup>2</sup> + 4<sup>3</sup> - 1) is exactly equal to 174. I don't know...