Found with PFGW Version 3.6.0

3605^4106-4106^3605 is 2-PRP! (9.5637s+0.0023s)
3605^4106-4106^3605 is 3-PRP! (9.8702s+0.0022s)
3605^4106-4106^3605 is 5-PRP! (9.8874s+0.0021s)
3605^4106-4106^3605 is 7-PRP! (9.9001s+0.0022s)
3605^4106-4106^3605 is 11-PRP! (9.9044s+0.0021s)

Primality testing 3605^4106-4106^3605 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.05% and helper 0.01% (0.16% proof)
3605^4106-4106^3605 is Fermat and Lucas PRP! (47.4458s+0.0022s)

To be completed...