Found with PFGW Version 3.7.5

9992^12549+12549^9992 is 2-PRP! (47.6615s+0.0023s)
9992^12549+12549^9992 is 3-PRP! (47.9660s+0.0021s)
9992^12549+12549^9992 is 5-PRP! (47.9817s+0.0022s)
9992^12549+12549^9992 is 7-PRP! (48.3881s+0.0021s)
9992^12549+12549^9992 is 11-PRP! (47.0334s+0.0021s)

Primality testing 9992^12549+12549^9992 [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 0.03% and helper 0.02% (0.10% proof)
9992^12549+12549^9992 is Fermat and Lucas PRP! (317.0105s+0.0032s)

To be completed...