Found with PFGW Version 3.6.0

14^23000+34017 is 2-PRP! (12.6263s+0.0020s)
14^23000+34017 is 3-PRP! (12.5578s+0.0021s)
14^23000+34017 is 5-PRP! (12.5189s+0.0018s)
14^23000+34017 is 7-PRP! (12.5149s+0.0019s)
14^23000+34017 is 11-PRP! (12.5283s+0.0018s)

Primality testing 14^23000+34017 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.07% proof)
14^23000+34017 is Fermat and Lucas PRP! (162.8934s+0.0027s)

To be completed...