Found with PFGW Version 3.7.5

390^9967-9967^390 is 2-PRP! (10.6376s+0.0011s)
390^9967-9967^390 is 3-PRP! (10.6693s+0.0009s)
390^9967-9967^390 is 5-PRP! (10.6547s+0.0032s)
390^9967-9967^390 is 7-PRP! (10.6462s+0.0010s)
390^9967-9967^390 is 11-PRP! (10.6601s+0.0009s)

Primality testing 390^9967-9967^390 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.05% and helper 0.02% (0.17% proof)
390^9967-9967^390 is Fermat and Lucas PRP! (65.1681s+0.0027s)

To be completed...