Please also credit Vincent Diepeveen, Tony Reix, Jeff Gilchrist and Paul Underwood for their work on checking Wagstaff prime exponents!

(2^13347311+1)/3 is 3-PRP! (Ryan Propper, OpenPFGW)
(2^13347311+1)/3) is a probable prime! (\"ATH\", Prime95)
(2^13347311+1)/3 is Vrba-Reix PRP! (Jeff Gilchrist, LLR)
(2^13347311+1)/3 is Base 27 - Strong Fermat PRP! (Serge Batalov, LLR)
(2^13347311+1)/3 is Vrba-Reix PRP! (Serge Batalov, LLR)
(2^13347311+1)/3 is 5-PRP! (Serge Batalov, OpenPFGW)
(2^13347311+1)/3 is 7-PRP! (Serge Batalov, OpenPFGW)
(2^13347311+1)/3 is 11-PRP! (Serge Batalov, OpenPFGW)
(2^13347311+1)/3 is 13-PRP! (Serge Batalov, OpenPFGW)
(2^13347311+1)/3 is 17-PRP! (Serge Batalov, OpenPFGW)
(2^13347311+1)/3 is Lucas PRP! (Paul Underwood, OpenPFGW)
(L+2)^(N+1)==5 (mod N, L^2+1) (Paul Underwood, GMP)

To be completed...