Found with PFGW Version 3.7.5

297^5626-5626^297 is 2-PRP! (7.4028s+0.0015s)
297^5626-5626^297 is 3-PRP! (8.3134s+0.0020s)
297^5626-5626^297 is 5-PRP! (8.1878s+0.0014s)
297^5626-5626^297 is 7-PRP! (7.6728s+0.0017s)
297^5626-5626^297 is 11-PRP! (8.1181s+0.0015s)

Primality testing 297^5626-5626^297 [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 0.06% and helper 0.06% (0.24% proof)
297^5626-5626^297 is Fermat and Lucas PRP! (38.9790s+0.0035s)

To be completed...