Found with PFGW Version 3.4.8

60^13040+59 is 2-PRP! (23.6720s+0.0057s)
60^13040+59 is 3-PRP! (36.5739s+0.0017s)
60^13040+59 is 5-PRP! (38.8974s+0.0014s)
60^13040+59 is 7-PRP! (39.2147s+0.0015s)
60^13040+59 is 11-PRP! (40.9602s+0.0015s)

Primality testing 60^13040+59 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.05% and helper 0.01% (0.16% proof)
60^13040+59 is Fermat and Lucas PRP! (223.2377s+0.0065s)

To be completed...