Found with PFGW Version 3.7.5

88^57124-87 is 2-PRP! (79.7684s+0.0027s)
88^57124-87 is 3-PRP! (79.0664s+0.0041s)
88^57124-87 is 5-PRP! (79.4304s+0.0029s)
88^57124-87 is 7-PRP! (105.0149s+0.0038s)
88^57124-87 is 11-PRP! (90.7545s+0.0038s)

Primality testing 88^57124-87 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N-1 test using base 17
Running N+1 test using discriminant 31, base 12+sqrt(31)
Calling N-1 BLS with factored part 0.03% and helper 0.00% (0.10% proof)
88^57124-87 is Fermat and Lucas PRP! (661.4511s+0.0030s)

To be completed...