Found with PFGW Version 3.8.0

4945^13418-13418^4945 is 2-PRP! (46.2283s+0.0013s)
4945^13418-13418^4945 is 3-PRP! (45.9715s+0.0013s)
4945^13418-13418^4945 is 5-PRP! (45.9875s+0.0013s)
4945^13418-13418^4945 is 7-PRP! (45.9824s+0.0021s)
4945^13418-13418^4945 is 11-PRP! (45.9353s+0.0013s)

Primality testing 4945^13418-13418^4945 [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 0.04% and helper 0.01% (0.14% proof)
4945^13418-13418^4945 is Fermat and Lucas PRP! (274.8560s+0.0070s)

To be completed...