Found with PFGW Version 3.4.8

57^7009+56 is 2-PRP! (9.5797s+0.0043s)
57^7009+56 is 3-PRP! (9.8897s+0.0054s)
57^7009+56 is 5-PRP! (10.5974s+0.0072s)
57^7009+56 is 7-PRP! (11.6652s+0.0044s)
57^7009+56 is 11-PRP! (11.7509s+0.0051s)

Primality testing 57^7009+56 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
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 0.19% and helper 0.10% (0.67% proof)
57^7009+56 is Fermat and Lucas PRP! (91.1090s+0.0109s)

To be completed...