Found with PFGW Version 3.7.5

52^30967-51 is 2-PRP! (35.0492s+0.0038s)
52^30967-51 is 3-PRP! (34.8876s+0.0043s)
52^30967-51 is 5-PRP! (33.2216s+0.0041s)
52^30967-51 is 7-PRP! (36.3200s+0.0056s)
52^30967-51 is 11-PRP! (31.4139s+0.0025s)

Primality testing 52^30967-51 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 4+sqrt(5)
Calling N-1 BLS with factored part 0.22% and helper 0.02% (0.67% proof)
52^30967-51 is Fermat and Lucas PRP! (283.2884s+0.0053s)

To be completed...