Found with PFGW Version 3.7.5

1140^5239-5239^1140 is 2-PRP! (7.9871s+0.0031s)
1140^5239-5239^1140 is 3-PRP! (7.2577s+0.0033s)
1140^5239-5239^1140 is 5-PRP! (8.7659s+0.0038s)
1140^5239-5239^1140 is 7-PRP! (9.1630s+0.0039s)
1140^5239-5239^1140 is 11-PRP! (9.6742s+0.0043s)

Primality testing 1140^5239-5239^1140 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.06% and helper 0.02% (0.19% proof)
1140^5239-5239^1140 is Fermat and Lucas PRP! (40.7194s+0.0037s)

To be completed...