Arithmetic progressions of primes and sums of squares

[Ralf Stephan]

> The corresponding "gap" sequence (0?) 1 2 6 6 30 150 210 210 210 13860 13860
> 60060 420420 might also be a candidate for the OEIS.

Interestingly, these numbers appear together disguised in this sequence,
where 2,6,30,150,210 are double some of its members, 
while 13860,60060,420420 are some of its pairwise sums:

%I A065917
%S A065917 1,3,9,15,45,75,105,315,525,735,945,1155,3465,5775,8085,10395,12705,
%T A065917 15015,45045,75075,105105,135135,165165,195195,225225,255255,765765,
%U A065917 1276275,1786785,2297295,2807805,3318315,3828825,4339335,4849845
%N A065917 Boundaries of primorial intervals [1,3]; [3,9],[9,15]; [15,45], etc.


ralf