Found with PFGW Version 3.4.8

55^6665-54 is 2-PRP! (7.0469s+0.0042s)
55^6665-54 is 3-PRP! (8.1404s+0.0038s)
55^6665-54 is 5-PRP! (8.4950s+0.0044s)
55^6665-54 is 7-PRP! (9.1077s+0.0042s)
55^6665-54 is 11-PRP! (9.7740s+0.0054s)

Primality testing 55^6665-54 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 6+sqrt(23)
Calling N-1 BLS with factored part 0.86% and helper 0.00% (2.57% proof)
55^6665-54 is Fermat and Lucas PRP! (69.0464s+0.0150s)

To be completed...