Mean of 10^9 consecutive primes?

[N. J. A. Sloane]

about Zak's proposal 

> %N A000001 Arithmetic mean of 1000000 consecutive primes.

- there is a rule, I think a very good one, that says that 
sequences in the OEIS should not depend
on a large but arbitrary parameter.

Because, why not also include

Arithmetic mean of 2006 consecutive primes

or

Arithmetic mean of 66666666 consecutive primes

or

 Arithmetic mean of 999999999 consecutive primes.

Neil