LLR:
(59*10^52099+13)/9 is base 3-Strong Fermat PRP! (52100 decimal digits) Time : 129.423 sec.
(59*10^52099+13)/9 is strong-Fermat, Lucas and Frobenius PRP! (P = 4, Q = 2, D = 8) Time : 487.321 sec.

To be completed...