Found with PFGW Version 3.7.5

1533^5858-5858^1533 is 2-PRP! (10.3536s+0.0016s)
1533^5858-5858^1533 is 3-PRP! (10.2363s+0.0021s)
1533^5858-5858^1533 is 5-PRP! (11.2985s+0.0017s)
1533^5858-5858^1533 is 7-PRP! (10.4848s+0.0015s)
1533^5858-5858^1533 is 11-PRP! (10.2347s+0.0020s)

Primality testing 1533^5858-5858^1533 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 13
Running N+1 test using discriminant 37, base 2+sqrt(37)
Calling N-1 BLS with factored part 0.04% and helper 0.01% (0.15% proof)
1533^5858-5858^1533 is Fermat and Lucas PRP! (62.5093s+0.0033s)

To be completed...