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 A275274 #4 Jul 24 2016 20:54:35
%S A275274 6,9,11,17,19,23,41,41,47,47,29,83,139,79,223,149,83,101,137,79,59,
%T A275274 131,271,283,131,263,137,197,373,313,379,137,307,151,257,761,457,151,
%U A275274 443,89,229,167,181,191,467,1109,739,103,401,353,487,827,449,617,307
%N A275274 p - n!, where p is the fourth smallest prime > n!.
%C A275274 Is every term except the first two a prime?
%H A275274 Clark Kimberling, <a href="/A275274/b275274.txt">Table of n, a(n) for n = 1..300</a>
%e A275274 For n = 4, we have n! = 24, so that p = 41, and a(4) = 17.
%t A275274 Table[NextPrime[n!, 4] - n!, {n, 1, 150}]
%Y A275274 Cf. A275272, A000040.
%K A275274 nonn,easy
%O A275274 1,1
%A A275274 _Clark Kimberling_, Jul 23 2016