27^9.32^11:2 - 16^6.2.6^27
3^27.8^11.4^11:2 - 2^24.2.2^27.3^27
3^27.2^33.2^22:2 - 2^52.3^27
3^27.2^54 - 2^52.3^27
3^27.2^52.(4-1)
3^27.2^52.3
3^28.2^52
(3^14.2^26)^2 = patrat perfect
