Found with PFGW Version 3.6.0

272^4971-4971^272 is 2-PRP! (5.8405s+0.0016s)
272^4971-4971^272 is 3-PRP! (5.7675s+0.0015s)
272^4971-4971^272 is 5-PRP! (5.7585s+0.0016s)
272^4971-4971^272 is 7-PRP! (5.7770s+0.0015s)
272^4971-4971^272 is 11-PRP! (5.7625s+0.0018s)

Primality testing 272^4971-4971^272 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.05% and helper 0.00% (0.17% proof)
272^4971-4971^272 is Fermat and Lucas PRP! (28.0703s+0.0032s)

To be completed...