LLR:
(53*10^69050-17)/9 is base 3-Strong Fermat PRP! (69051 decimal digits) Time : 80.671 sec.
(53*10^69050-17)/9 is strong-Fermat, Lucas and Frobenius PRP! (P = 5, Q = 3, D = 13) Time : 313.981 sec.

To be completed...