Found with PFGW Version 3.8.0

356^13985-13985^356 is 2-PRP! (23.9450s+0.0077s)
356^13985-13985^356 is 3-PRP! (25.2274s+0.0073s)
356^13985-13985^356 is 5-PRP! (23.1862s+0.0039s)
356^13985-13985^356 is 7-PRP! (23.7027s+0.0066s)
356^13985-13985^356 is 11-PRP! (24.0941s+0.0074s)

Primality testing 356^13985-13985^356 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.03% and helper 0.03% (0.12% proof)
356^13985-13985^356 is Fermat and Lucas PRP! (150.9145s+0.0083s)

To be completed...