Found with PFGW Version 3.7.5

3207^8000-8000^3207 is 2-PRP! (23.7004s+0.0009s)
3207^8000-8000^3207 is 3-PRP! (25.4955s+0.0009s)
3207^8000-8000^3207 is 5-PRP! (23.7740s+0.0009s)
3207^8000-8000^3207 is 7-PRP! (24.0213s+0.0010s)
3207^8000-8000^3207 is 11-PRP! (24.2298s+0.0010s)

Primality testing 3207^8000-8000^3207 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N-1 test using base 23
Running N+1 test using discriminant 41, base 8+sqrt(41)
Calling N+1 BLS with factored part 0.06% and helper 0.03% (0.20% proof)
3207^8000-8000^3207 is Fermat and Lucas PRP! (148.8174s+0.0091s)

To be completed...