Found with PFGW Version 3.6.0

3093^6992-6992^3093 is 2-PRP! (23.9388s+0.0026s)
3093^6992-6992^3093 is 3-PRP! (23.9665s+0.0053s)
3093^6992-6992^3093 is 5-PRP! (24.0278s+0.0027s)
3093^6992-6992^3093 is 7-PRP! (24.0070s+0.0029s)
3093^6992-6992^3093 is 11-PRP! (23.9480s+0.0021s)

Primality testing 3093^6992-6992^3093 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 29, base 4+sqrt(29)
Calling N-1 BLS with factored part 0.05% and helper 0.03% (0.19% proof)
3093^6992-6992^3093 is Fermat and Lucas PRP! (118.6232s+0.0039s)

To be completed...