Found with PFGW Version 3.6.0

882^3587-3587^882 is 2-PRP! (5.2021s+0.0020s)
882^3587-3587^882 is 3-PRP! (5.3433s+0.0016s)
882^3587-3587^882 is 5-PRP! (5.3804s+0.0016s)
882^3587-3587^882 is 7-PRP! (5.3588s+0.0036s)
882^3587-3587^882 is 11-PRP! (5.3158s+0.0017s)

Primality testing 882^3587-3587^882 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 0.08% and helper 0.06% (0.29% proof)
882^3587-3587^882 is Fermat and Lucas PRP! (24.2107s+0.0016s)

To be completed...