Found with PFGW Version 3.7.5

364^8103-8103^364 is 2-PRP! (14.1751s+0.0141s)
364^8103-8103^364 is 3-PRP! (15.5316s+0.0005s)
364^8103-8103^364 is 5-PRP! (18.1096s+0.0007s)
364^8103-8103^364 is 7-PRP! (17.3925s+0.0004s)
364^8103-8103^364 is 11-PRP! (18.5124s+0.0007s)

Primality testing 364^8103-8103^364 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.12% proof)
364^8103-8103^364 is Fermat and Lucas PRP! (91.9195s+0.0023s)

To be completed...