Found with PFGW Version 3.7.5

9328^12787+12787^9328 is 2-PRP! (47.2300s+0.0026s)
9328^12787+12787^9328 is 3-PRP! (48.3501s+0.0028s)
9328^12787+12787^9328 is 5-PRP! (47.3200s+0.0027s)
9328^12787+12787^9328 is 7-PRP! (47.4806s+0.0026s)
9328^12787+12787^9328 is 11-PRP! (48.3076s+0.0029s)

Primality testing 9328^12787+12787^9328 [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 0.01% (0.10% proof)
9328^12787+12787^9328 is Fermat and Lucas PRP! (274.8716s+0.0032s)

To be completed...