This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A113593 #3 Jan 19 2019 04:14:58
%S A113593 0,1,2,6,30,150,210,2310,30030,510510,9699690,223092870,6469693230
%N A113593 Minimal differences that appear in arithmetic progressions of primes.
%C A113593 Collapsed version of sequence A033188. If a conjecture about arithmetic prime progressions is correct (see A033188), this sequence is simply the primorial numbers with 150 inserted into the list. Zero is also included (since p,p is an arithmetic progression with difference 0).
%e A113593 2 belongs in the sequence because the smallest d satisfying "n, n+d, n+2d are all prime" is 2. 4 does not belong, despite there existing triples {n, n+4, n+8} that are all prime--because a difference of 4 does not allow a new length of progression, i.e. there is no prime progression {n, n+4, n+8, n+12}.
%Y A113593 Cf. A033188, A034386, A002110.
%K A113593 nonn
%O A113593 1,3
%A A113593 _Jon Wild_, Jan 26 2006