Found with PFGW Version 3.7.5

2624^8489-8489^2624 is 2-PRP! (15.2477s+0.0009s)
2624^8489-8489^2624 is 3-PRP! (15.1912s+0.0010s)
2624^8489-8489^2624 is 5-PRP! (15.2843s+0.0009s)
2624^8489-8489^2624 is 7-PRP! (15.2140s+0.0009s)
2624^8489-8489^2624 is 11-PRP! (15.2586s+0.0010s)

Primality testing 2624^8489-8489^2624 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N-1 BLS with factored part 0.04% and helper 0.02% (0.15% proof)
2624^8489-8489^2624 is Fermat and Lucas PRP! (91.5159s+0.0018s)

To be completed...