Found with PFGW Version 3.6.0

14^23000+14337 is 2-PRP! (12.6424s+0.0020s)
14^23000+14337 is 3-PRP! (12.5975s+0.0019s)
14^23000+14337 is 5-PRP! (12.5168s+0.0036s)
14^23000+14337 is 7-PRP! (12.6927s+0.0019s)
14^23000+14337 is 11-PRP! (12.5682s+0.0023s)

Primality testing 14^23000+14337 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 17
Running N+1 test using discriminant 41, base 1+sqrt(41)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.09% proof)
14^23000+14337 is Fermat and Lucas PRP! (96.5785s+0.0024s)

To be completed...