Found with PFGW Version 3.6.0

1097^14112+14112^1097 is 2-PRP! (75.8022s+0.0035s)
1097^14112+14112^1097 is 3-PRP! (75.6886s+0.0041s)
1097^14112+14112^1097 is 5-PRP! (78.9758s+0.0030s)
1097^14112+14112^1097 is 7-PRP! (74.8155s+0.0040s)
1097^14112+14112^1097 is 11-PRP! (77.2710s+0.0029s)

Primality testing 1097^14112+14112^1097 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 8+sqrt(17)
Calling N+1 BLS with factored part 0.07% and helper 0.02% (0.25% proof)
1097^14112+14112^1097 is Fermat and Lucas PRP! (445.3805s+0.0037s)

To be completed...