Two possible challenges
 

1) This is with reference to the large prime: Id 116042 in the database pertaining to large primes. Q: Is this Sophie prime also a Mangammal prime?

(for definition see A123239 ).

2) Are there infinitely many Shantha primes? ( see encyclopedia in planetmath.org )

A.K. Devaraj

Hi man,

I admire your contribution to the encyclopedia for integer sequences and to this forum.

To quote

oeis.org/A123239 Primes that do not divide 3^n-2 for any n.

Cheers,

Matt