Found with PFGW Version 3.7.5

1917^8818-8818^1917 is 2-PRP! (15.2330s+0.0011s)
1917^8818-8818^1917 is 3-PRP! (15.3030s+0.0013s)
1917^8818-8818^1917 is 5-PRP! (15.1736s+0.0014s)
1917^8818-8818^1917 is 7-PRP! (15.1961s+0.0012s)
1917^8818-8818^1917 is 11-PRP! (15.7257s+0.0013s)

Primality testing 1917^8818-8818^1917 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 11+sqrt(11)
Calling N-1 BLS with factored part 0.04% and helper 0.03% (0.17% proof)
1917^8818-8818^1917 is Fermat and Lucas PRP! (76.0394s+0.0019s)

To be completed...