Found with PFGW Version 3.7.5

5881^10832-10832^5881 is 2-PRP! (34.9078s+0.0017s)
5881^10832-10832^5881 is 3-PRP! (35.4942s+0.0017s)
5881^10832-10832^5881 is 5-PRP! (34.6265s+0.0016s)
5881^10832-10832^5881 is 7-PRP! (34.6720s+0.0017s)
5881^10832-10832^5881 is 11-PRP! (34.7465s+0.0019s)

Primality testing 5881^10832-10832^5881 [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 0.02% and helper 0.01% (0.08% proof)
5881^10832-10832^5881 is Fermat and Lucas PRP! (172.7195s+0.0016s)

To be completed...