Found with PFGW Version 3.7.5

8181^8290-8290^8181 is 2-PRP! (19.7038s+0.0019s)
8181^8290-8290^8181 is 3-PRP! (19.4755s+0.0042s)
8181^8290-8290^8181 is 5-PRP! (19.7019s+0.0020s)
8181^8290-8290^8181 is 7-PRP! (19.4693s+0.0020s)
8181^8290-8290^8181 is 11-PRP! (19.5225s+0.0020s)

Primality testing 8181^8290-8290^8181 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.08% and helper 0.04% (0.27% proof)
8181^8290-8290^8181 is Fermat and Lucas PRP! (110.5238s+0.0031s)

To be completed...