LLR:
(53*10^90965-71)/9 is base 3-Strong Fermat PRP! (90966 decimal digits) Time : 156.430 sec.
(53*10^90965-71)/9 is strong-Fermat, Lucas and Frobenius PRP! (P = 5, Q = 3, D = 13) Time : 663.284 sec.

To be completed...