Found with PFGW Version 3.8.0

595^23148+23148^595 is 2-PRP! (76.1399s+0.0052s)
595^23148+23148^595 is 3-PRP! (77.0604s+0.0046s)
595^23148+23148^595 is 5-PRP! (78.4579s+0.0046s)
595^23148+23148^595 is 7-PRP! (77.1914s+0.0186s)
595^23148+23148^595 is 11-PRP! (76.6386s+0.0051s)

Primality testing 595^23148+23148^595 [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 0.02% (0.07% proof)
595^23148+23148^595 is Fermat and Lucas PRP! (442.8214s+0.0044s)

To be completed...