Found with PFGW Version 3.7.5

52^30577-51 is 2-PRP! (33.1111s+0.0030s)
52^30577-51 is 3-PRP! (35.0105s+0.0025s)
52^30577-51 is 5-PRP! (31.8583s+0.0027s)
52^30577-51 is 7-PRP! (34.8498s+0.0030s)
52^30577-51 is 11-PRP! (30.6507s+0.0023s)

Primality testing 52^30577-51 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.68% and helper 0.03% (2.07% proof)
52^30577-51 is Fermat and Lucas PRP! (286.9178s+0.0067s)

To be completed...