Repeated Prime-Differences

[Hans Havermann]

Leroy Quet:

> It appears that the following sequence(s) is/are not in the EIS, 
> somewhat surprisingly...

> If p(k) is the k_th prime, the sequence consists of primes p where 
> p(k+1) - p = p - p(k-1), if k is such that p(k) = p. I get: 5, 53,...


Balanced primes (of order one): primes which are the average of their 
two immediate neighbors: A006562

Remember, your searches are limited to 30 hits. If you get that many 
and the sequence isn't there, don't assume it isn't there. :)