Repeated Prime-Differences

[Pfoertner, Hugo]

>-----Original Message-----
>From: Leroy Quet [mailto:qq-quet at mindspring.com] 
>Sent: Monday, September 06, 2004 15:04
>To: Leroy Quet; Seqfan at ext.jussieu.fr
>Subject: Repeated Prime-Differences
>
>
>It appears that the following sequence(s) is/are not in the 
>EIS, somewhat 
>surprisingly.
>(Could someone please compute them and submit. thanks.)
>
>
>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,...
>
[...]
>
>thanks,
>Leroy Quet
>

This one is already there, assuming you are looking for record distances.

Equidistant lonely primes. 
http://www.research.att.com/projects/OEIS?Anum=A058867
Harvey Dubner (harvey(AT)dubner.com), Dec 07 2000

Hugo