LLR:
(23*10^83693+7)/3 is base 3-Strong Fermat PRP! (83694 decimal digits) Time : 104.793 sec.
(23*10^83693+7)/3 is strong-Fermat, Lucas and Frobenius PRP! (P = 4, Q = 2, D = 8) Time : 460.459 sec.

To be completed...