Found with PFGW Version 3.7.5

214^35917+35917^214 is 2-PRP! (138.6661s+0.0023s)
214^35917+35917^214 is 3-PRP! (139.0632s+0.0025s)
214^35917+35917^214 is 5-PRP! (142.7541s+0.0023s)
214^35917+35917^214 is 7-PRP! (139.1429s+0.0025s)
214^35917+35917^214 is 11-PRP! (139.0965s+0.0026s)

Primality testing 214^35917+35917^214 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.01% and helper 0.00% (0.04% proof)
214^35917+35917^214 is Fermat and Lucas PRP! (684.5700s+0.0025s)

To be completed...