Found with PFGW Version 3.7.5

11421^12410-12410^11421 is 2-PRP! (89.0927s+0.0051s)
11421^12410-12410^11421 is 3-PRP! (95.8945s+0.0072s)
11421^12410-12410^11421 is 5-PRP! (93.5013s+0.0071s)
11421^12410-12410^11421 is 7-PRP! (92.4291s+0.0049s)
11421^12410-12410^11421 is 11-PRP! (91.5978s+0.0053s)

Primality testing 11421^12410-12410^11421 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 9+sqrt(19)
Calling N+1 BLS with factored part 0.05% and helper 0.02% (0.17% proof)
11421^12410-12410^11421 is Fermat and Lucas PRP! (690.7326s+0.0073s)

To be completed...