The first six terms are all emirps.  Arkadiusz Wesolowski, Mar 09 2011
Carlos Rivera asks for a 6digit number (prime?) that follows from the first six numbers. No solution has been posted after several years.  T. D. Noe, Mar 09 2011
The sequence is a cycle of emirps with the middle two digits of each term the same as the second and nexttolast digits of the subsequent term. The first six terms are as given, the seventh term is the unique sixdigit extension.  J. D. Lavelle, Jul 01 2018
