Found with PFGW Version 3.7.5

272^9055-9055^272 is 2-PRP! (8.9025s+0.0018s)
272^9055-9055^272 is 3-PRP! (8.9514s+0.0019s)
272^9055-9055^272 is 5-PRP! (8.9130s+0.0017s)
272^9055-9055^272 is 7-PRP! (9.1023s+0.0018s)
272^9055-9055^272 is 11-PRP! (8.9180s+0.0016s)

Primality testing 272^9055-9055^272 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N-1 test using base 7
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N-1 BLS with factored part 0.04% and helper 0.03% (0.14% proof)
272^9055-9055^272 is Fermat and Lucas PRP! (63.3551s+0.0018s)

To be completed...