Found with PFGW Version 3.7.5

401^8712-8712^401 is 2-PRP! (9.4755s+0.0004s)
401^8712-8712^401 is 3-PRP! (9.5073s+0.0005s)
401^8712-8712^401 is 5-PRP! (9.3488s+0.0004s)
401^8712-8712^401 is 7-PRP! (9.1488s+0.0010s)
401^8712-8712^401 is 11-PRP! (9.3205s+0.0004s)

Primality testing 401^8712-8712^401 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.05% and helper 0.02% (0.19% proof)
401^8712-8712^401 is Fermat and Lucas PRP! (47.0079s+0.0012s)

To be completed...