Found with PFGW Version 3.6.0

88^13821-87 is 2-PRP! (9.5548s+0.0019s)
88^13821-87 is 3-PRP! (9.5234s+0.0023s)
88^13821-87 is 5-PRP! (9.5619s+0.0040s)
88^13821-87 is 7-PRP! (9.5680s+0.0036s)
88^13821-87 is 11-PRP! (9.5405s+0.0017s)

Primality testing 88^13821-87 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 10+sqrt(17)
Calling N-1 BLS with factored part 0.31% and helper 0.02% (0.96% proof)
88^13821-87 is Fermat and Lucas PRP! (73.8191s+0.0038s)

To be completed...