Found with PFGW Version 3.7.5

4106^9623-9623^4106 is 2-PRP! (22.6655s+0.0013s)
4106^9623-9623^4106 is 3-PRP! (22.6365s+0.0014s)
4106^9623-9623^4106 is 5-PRP! (23.0794s+0.0014s)
4106^9623-9623^4106 is 7-PRP! (23.0316s+0.0014s)
4106^9623-9623^4106 is 11-PRP! (22.8693s+0.0014s)

Primality testing 4106^9623-9623^4106 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 59, base 1+sqrt(59)
Calling N-1 BLS with factored part 0.07% and helper 0.00% (0.20% proof)
4106^9623-9623^4106 is Fermat and Lucas PRP! (111.3723s+0.0027s)

To be completed...