Quote:
Originally Posted by Bobby Jacobs
Take the prime numbers at prime positions in the sequence of primes.
3, 5, 11, 17, 31, 41, 59, 67, 83, 109, ...
What do we know about the gaps between primes in this sequence?

http://oeis.org/A006450
we can figure a gap of at least 6 after the first gap. and a gap of 12 or more due to gaps in primes of 4 or more.