Found with PFGW Version 3.6.0

8714^10061-10061^8714 is 2-PRP! (79.6185s+0.0041s)
8714^10061-10061^8714 is 3-PRP! (81.3110s+0.0038s)
8714^10061-10061^8714 is 5-PRP! (82.3750s+0.0054s)
8714^10061-10061^8714 is 7-PRP! (83.2463s+0.0054s)
8714^10061-10061^8714 is 11-PRP! (83.2820s+0.0041s)

Primality testing 8714^10061-10061^8714 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 6+sqrt(7)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.09% proof)
8714^10061-10061^8714 is Fermat and Lucas PRP! (375.7124s+0.0041s)

To be completed...