Found with PFGW Version 3.7.5

272^20659-20659^272 is 2-PRP! (47.7688s+0.0011s)
272^20659-20659^272 is 3-PRP! (47.0323s+0.0010s)
272^20659-20659^272 is 5-PRP! (46.9782s+0.0012s)
272^20659-20659^272 is 7-PRP! (46.8324s+0.0011s)
272^20659-20659^272 is 11-PRP! (46.9333s+0.0010s)

Primality testing 272^20659-20659^272 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 9+sqrt(7)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.09% proof)
272^20659-20659^272 is Fermat and Lucas PRP! (289.0944s+0.0019s)

To be completed...