Found with PFGW Version 3.8.0

706^14823-14823^706 is 2-PRP! (35.9393s+0.0074s)
706^14823-14823^706 is 3-PRP! (40.2382s+0.0073s)
706^14823-14823^706 is 5-PRP! (35.8951s+0.0072s)
706^14823-14823^706 is 7-PRP! (35.9815s+0.0077s)
706^14823-14823^706 is 11-PRP! (36.1203s+0.0078s)

Primality testing 706^14823-14823^706 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 8+sqrt(7)
Calling N+1 BLS with factored part 0.04% and helper 0.02% (0.14% proof)
706^14823-14823^706 is Fermat and Lucas PRP! (179.3809s+0.0110s)

To be completed...