Math Help - Prime Number question

1. Prime Number question

Consider the number theta
(i.e. Mills Constant), so that p(n) = [ (theta)^(3^n) ] is prime for all n in N, where [ ] denotes the integer part symbol, and n is a natural number.

Find theta (Mills' Constant) to 10 decimal places, show your working.

Determine which primes are values p_n

2. Wikipedia talks about exactly what you want.

Mills' constant - Wikipedia, the free encyclopedia