Found with PFGW Version 3.7.5

1332^10591-10591^1332 is 2-PRP! (21.0611s+0.0021s)
1332^10591-10591^1332 is 3-PRP! (21.6421s+0.0019s)
1332^10591-10591^1332 is 5-PRP! (21.9767s+0.0021s)
1332^10591-10591^1332 is 7-PRP! (21.7983s+0.0021s)
1332^10591-10591^1332 is 11-PRP! (21.7143s+0.0021s)

Primality testing 1332^10591-10591^1332 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.09% proof)
1332^10591-10591^1332 is Fermat and Lucas PRP! (106.1585s+0.0022s)

To be completed...