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 A220143 #10 Dec 30 2019 10:05:51
%S A220143 1,5,8,11,13,31,37,53,61,433,1957,2047,2603,4079,9967,10789,76943,
%T A220143 81439,121763,206867,233969,276349,495931,626939,2055943,3144937,
%U A220143 3585509,3810949,6274823,8407129,9299471,19279903,35531621,36426301,38235389,71701529,76384717,98566373
%N A220143 Numbers n that yield a new record for k such that n*k+1 and n*k-1 are twin primes.
%C A220143 These are numbers at which A071558 reaches a new record. The corresponding values of k are in A220144. Note that these numbers are not all primes.
%t A220143 t = {{1, 4}}; Do[k = 1; While[! (PrimeQ[k*n - 1] && PrimeQ[k*n + 1]), k++]; If[k > t[[-1, 2]], AppendTo[t, {n, k}]], {n, 2, 100000}]; Transpose[t][[1]]
%Y A220143 Cf. A071558, A220144.
%K A220143 nonn
%O A220143 1,2
%A A220143 _T. D. Noe_, Jan 08 2013
%E A220143 More terms from _Amiram Eldar_, Dec 30 2019