Found with PFGW Version 3.7.5

88^58773-87 is 2-PRP! (83.0032s+0.0028s)
88^58773-87 is 3-PRP! (83.4269s+0.0029s)
88^58773-87 is 5-PRP! (86.0665s+0.0036s)
88^58773-87 is 7-PRP! (98.5186s+0.0041s)
88^58773-87 is 11-PRP! (92.6936s+0.0032s)

Primality testing 88^58773-87 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 8+sqrt(17)
Calling N-1 BLS with factored part 0.03% and helper 0.00% (0.11% proof)
88^58773-87 is Fermat and Lucas PRP! (597.8356s+0.0029s)

To be completed...