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 A222960 #13 Sep 08 2022 08:46:04
%S A222960 1,4,49,94,409,739,934,1039,1624,1729,2824,4714,6499,7819,7864,8029,
%T A222960 9019,9454,9709,10504,11134,12649,15859,17419,21889,25669,27664,31489,
%U A222960 33604,34744,36109,38629,39844,40519,41359,44404
%N A222960 Numbers n such that 2*n + {3, 5, 9, 11} are all primes.
%C A222960 After 1, a(n) is congruent to 4 or 9 (mod 10), this means that a(n) is of the form 5k-1. Clearly, each term is not divisible by 3 and 11.
%H A222960 Vincenzo Librandi, <a href="/A222960/b222960.txt">Table of n, a(n) for n = 1..1000</a>
%F A222960 a(n) = (A007530(n)-3)/2. [_Michael B. Porter_, Mar 21 2013]
%t A222960 Select[Range[50000], Union[PrimeQ[2 # + {3, 5, 9, 11}]]=={True}&]
%o A222960 (Magma) [n: n in [1..50000] | forall{2*n+k: k in [3,5,9,11] | IsPrime(2*n+k)}];
%Y A222960 Cf. A007530, A136162.
%K A222960 nonn,easy
%O A222960 1,2
%A A222960 _Vincenzo Librandi_, Mar 13 2013