Verified Fermat and Lucas PRP by pfgw.

Primality testing (14*10^58729+31)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 13
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.02% proof)
(14*10^58729+31)/9 is Fermat and Lucas PRP! (1289.0341s+0.0393s)
Primality testing (14*10^97044+31)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N-1 BLS with factored part 0.01% and helper 0.00% (0.03% proof)
(14*10^97044+31)/9 is Fermat and Lucas PRP! (3117.6279s+0.0446s)

To be completed...