Found with PFGW Version 3.7.5

6083^9420-9420^6083 is 2-PRP! (41.1519s+0.0025s)
6083^9420-9420^6083 is 3-PRP! (39.1992s+0.0028s)
6083^9420-9420^6083 is 5-PRP! (39.6956s+0.0054s)
6083^9420-9420^6083 is 7-PRP! (42.7967s+0.0026s)
6083^9420-9420^6083 is 11-PRP! (39.6197s+0.0025s)

Primality testing 6083^9420-9420^6083 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 9+sqrt(19)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.10% proof)
6083^9420-9420^6083 is Fermat and Lucas PRP! (199.8933s+0.0047s)

To be completed...