Found with PFGW Version 3.7.5

3069^7742-7742^3069 is 2-PRP! (31.7300s+0.0027s)
3069^7742-7742^3069 is 3-PRP! (31.5372s+0.0028s)
3069^7742-7742^3069 is 5-PRP! (31.5917s+0.0027s)
3069^7742-7742^3069 is 7-PRP! (29.7903s+0.0028s)
3069^7742-7742^3069 is 11-PRP! (31.3785s+0.0026s)

Primality testing 3069^7742-7742^3069 [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 0.03% and helper 0.01% (0.11% proof)
3069^7742-7742^3069 is Fermat and Lucas PRP! (158.2574s+0.0055s)

To be completed...