Found with PFGW Version 3.7.5

5497^12114+12114^5497 is 2-PRP! (71.8591s+0.0034s)
5497^12114+12114^5497 is 3-PRP! (70.9326s+0.0044s)
5497^12114+12114^5497 is 5-PRP! (80.3664s+0.0037s)
5497^12114+12114^5497 is 7-PRP! (72.0581s+0.0036s)
5497^12114+12114^5497 is 11-PRP! (72.5447s+0.0038s)

Primality testing 5497^12114+12114^5497 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 7
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.01% and helper 0.01% (0.04% proof)
5497^12114+12114^5497 is Fermat and Lucas PRP! (438.7213s+0.0043s)

To be completed...