[(55^5)^9511-(22434^2)^9511]/19 = (55^47555-22434^19022)/19 = (503284375^9511-503284356^9511)/19

PRP in base 11 and 13

For [(55^5)^n-(22434^2)^n]/19, I found hitherto:
None
[(55^5)^9511-(22434^2)^9511]/19

To be completed...