Found with PFGW Version 3.8.0

7706^13307-13307^7706 is 2-PRP! (48.5038s+0.0090s)
7706^13307-13307^7706 is 3-PRP! (48.0483s+0.0159s)
7706^13307-13307^7706 is 5-PRP! (49.4562s+0.0175s)
7706^13307-13307^7706 is 7-PRP! (47.8332s+0.0092s)
7706^13307-13307^7706 is 11-PRP! (47.9656s+0.0091s)

Primality testing 7706^13307-13307^7706 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.03% (0.12% proof)
7706^13307-13307^7706 is Fermat and Lucas PRP! (279.0009s+0.0090s)

To be completed...