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 A275273 #6 Sep 29 2024 15:18:27
%S A275273 4,5,7,13,17,19,37,37,31,41,19,59,109,71,179,73,59,73,113,53,47,127,
%T A275273 149,263,107,241,59,103,317,241,317,113,197,127,109,647,397,67,281,67,
%U A275273 211,163,109,107,439,521,709,101,383,337,397,223,337,601,281,311
%N A275273 p - n!, where p is the third smallest prime > n!.
%C A275273 Is every term except 4 a prime?
%H A275273 Clark Kimberling, <a href="/A275273/b275273.txt">Table of n, a(n) for n = 1..300</a>
%e A275273 For n = 4, we have n! = 24, so that p = 37, and a(4) = 13.
%t A275273 Table[NextPrime[n!, 3] - n!, {n, 1, 150}]
%t A275273 NextPrime[#,3]-#&/@(Range[60]!) (* _Harvey P. Dale_, Sep 29 2024 *)
%Y A275273 Cf. A275272, A000040.
%K A275273 nonn,easy
%O A275273 1,1
%A A275273 _Clark Kimberling_, Jul 23 2016