Found with PFGW Version 3.8.0

10671^13342-13342^10671 is 2-PRP! (55.9461s+0.0091s)
10671^13342-13342^10671 is 3-PRP! (57.0271s+0.0104s)
10671^13342-13342^10671 is 5-PRP! (57.3527s+0.0100s)
10671^13342-13342^10671 is 7-PRP! (57.0065s+0.0093s)
10671^13342-13342^10671 is 11-PRP! (55.6099s+0.0093s)

Primality testing 10671^13342-13342^10671 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.05% and helper 0.03% (0.17% proof)
10671^13342-13342^10671 is Fermat and Lucas PRP! (275.0404s+0.0102s)

To be completed...