Found with PFGW Version 3.7.5

2946^5657-5657^2946 is 2-PRP! (15.1462s+0.0018s)
2946^5657-5657^2946 is 3-PRP! (12.9075s+0.0023s)
2946^5657-5657^2946 is 5-PRP! (15.1071s+0.0017s)
2946^5657-5657^2946 is 7-PRP! (15.2818s+0.0023s)
2946^5657-5657^2946 is 11-PRP! (15.6594s+0.0020s)

Primality testing 2946^5657-5657^2946 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.07% proof)
2946^5657-5657^2946 is Fermat and Lucas PRP! (79.3951s+0.0029s)

To be completed...