Found with PFGW Version 3.7.5

6152^10599-10599^6152 is 2-PRP! (34.0965s+0.0016s)
6152^10599-10599^6152 is 3-PRP! (34.7673s+0.0016s)
6152^10599-10599^6152 is 5-PRP! (35.0614s+0.0016s)
6152^10599-10599^6152 is 7-PRP! (35.0922s+0.0017s)
6152^10599-10599^6152 is 11-PRP! (42.6197s+0.0016s)

Primality testing 6152^10599-10599^6152 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.04% proof)
6152^10599-10599^6152 is Fermat and Lucas PRP! (170.1247s+0.0025s)

To be completed...