Found with PFGW Version 3.8.0

2931^13372-13372^2931 is 2-PRP! (42.5346s+0.0089s)
2931^13372-13372^2931 is 3-PRP! (42.3212s+0.0086s)
2931^13372-13372^2931 is 5-PRP! (42.1451s+0.0099s)
2931^13372-13372^2931 is 7-PRP! (41.2667s+0.0094s)
2931^13372-13372^2931 is 11-PRP! (41.3357s+0.0090s)

Primality testing 2931^13372-13372^2931 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 3+sqrt(19)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.08% proof)
2931^13372-13372^2931 is Fermat and Lucas PRP! (344.3626s+0.0099s)

To be completed...