Found with PFGW Version 3.8.0

3784^13095-13095^3784 is 2-PRP! (41.8356s+0.0022s)
3784^13095-13095^3784 is 3-PRP! (41.7846s+0.0009s)
3784^13095-13095^3784 is 5-PRP! (41.7213s+0.0009s)
3784^13095-13095^3784 is 7-PRP! (41.5971s+0.0010s)
3784^13095-13095^3784 is 11-PRP! (41.6019s+0.0009s)

Primality testing 3784^13095-13095^3784 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.06% proof)
3784^13095-13095^3784 is Fermat and Lucas PRP! (281.6687s+0.0090s)

To be completed...