Found with PFGW Version 3.7.5

4974^7931-7931^4974 is 2-PRP! (35.6842s+0.0043s)
4974^7931-7931^4974 is 3-PRP! (37.4320s+0.0046s)
4974^7931-7931^4974 is 5-PRP! (33.8612s+0.0033s)
4974^7931-7931^4974 is 7-PRP! (34.0976s+0.0031s)
4974^7931-7931^4974 is 11-PRP! (28.1375s+0.0025s)

Primality testing 4974^7931-7931^4974 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.05% and helper 0.04% (0.20% proof)
4974^7931-7931^4974 is Fermat and Lucas PRP! (179.5666s+0.0054s)

To be completed...