Found with PFGW Version 3.6.0

2936^4345-4345^2936 is 2-PRP! (9.9581s+0.0031s)
2936^4345-4345^2936 is 3-PRP! (10.2582s+0.0049s)
2936^4345-4345^2936 is 5-PRP! (10.6992s+0.0032s)
2936^4345-4345^2936 is 7-PRP! (10.2505s+0.0049s)
2936^4345-4345^2936 is 11-PRP! (10.2391s+0.0049s)

Primality testing 2936^4345-4345^2936 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N+1 BLS with factored part 0.08% and helper 0.02% (0.28% proof)
2936^4345-4345^2936 is Fermat and Lucas PRP! (48.8619s+0.0022s)

To be completed...