Verified Fermat and Lucas PRP by pfgw.

Primality testing (22*10^59558-31)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 2+sqrt(17)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.10% proof)
(22*10^59558-31)/9 is Fermat and Lucas PRP! (1220.4507s+0.0033s)
Primality testing (22*10^74874-31)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.08% proof)
(22*10^74874-31)/9 is Fermat and Lucas PRP! (2363.9024s+0.0044s)

To be completed...