Found with PFGW Version 3.7.5

7698^8863-8863^7698 is 2-PRP! (22.2541s+0.0017s)
7698^8863-8863^7698 is 3-PRP! (22.3178s+0.0023s)
7698^8863-8863^7698 is 5-PRP! (22.2841s+0.0016s)
7698^8863-8863^7698 is 7-PRP! (22.2862s+0.0016s)
7698^8863-8863^7698 is 11-PRP! (22.1777s+0.0016s)

Primality testing 7698^8863-8863^7698 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.15% proof)
7698^8863-8863^7698 is Fermat and Lucas PRP! (110.3822s+0.0024s)

To be completed...