Found with PFGW Version 3.7.5

88^58949-87 is 2-PRP! (83.1325s+0.0029s)
88^58949-87 is 3-PRP! (84.3421s+0.0033s)
88^58949-87 is 5-PRP! (86.5255s+0.0028s)
88^58949-87 is 7-PRP! (99.3852s+0.0033s)
88^58949-87 is 11-PRP! (94.3580s+0.0030s)

Primality testing 88^58949-87 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N+1 test using discriminant 31, base 15+sqrt(31)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.04% proof)
88^58949-87 is Fermat and Lucas PRP! (664.3293s+0.0029s)

To be completed...