Found with PFGW Version 3.5.2

1545^3554-3554^1545 is 2-PRP! (12.6671s+0.0048s)
1545^3554-3554^1545 is 3-PRP! (12.7895s+0.0050s)
1545^3554-3554^1545 is 5-PRP! (22.8408s+0.0106s)
1545^3554-3554^1545 is 7-PRP! (26.7925s+0.0103s)
1545^3554-3554^1545 is 11-PRP! (13.3797s+0.0049s)

Primality testing 1545^3554-3554^1545 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 6+sqrt(17)
Calling N+1 BLS with factored part 0.08% and helper 0.03% (0.29% proof)
1545^3554-3554^1545 is Fermat and Lucas PRP! (203.9301s+0.0127s)

To be completed...