LLR:
(68*10^59821+31)/9 is base 3-Strong Fermat PRP! (59822 decimal digits) Time : 87.771 sec.
(68*10^59821+31)/9 is strong-Fermat, Lucas and Frobenius PRP! (P = 5, Q = 2, D = 17) Time : 295.129 sec.

To be completed...