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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.

A220141 Prime numbers p that yield a new record for the least number k such that p*k + 1 and p*k - 1 are twin primes.

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%I A220141 #10 Dec 30 2019 10:05:39
%S A220141 2,5,11,13,31,37,53,61,433,3023,3989,4079,9967,10789,76943,81439,
%T A220141 121763,233969,491333,495931,795659,1653901,2623969,3516277,6274823,
%U A220141 10536689,11313839,12023191,16268899,22829309,38968109,41230733,45057577,76384717,98566373,552843883
%N A220141 Prime numbers p that yield a new record for the least number k such that p*k + 1 and p*k - 1 are twin primes.
%C A220141 These are the primes at which A071407 reaches a new record. The corresponding values of k are in A220142.
%H A220141 Amiram Eldar, <a href="/A220141/b220141.txt">Table of n, a(n) for n = 1..38</a>
%t A220141 t = {{2, 2}}; Do[k = 1; While[! (PrimeQ[k*n - 1] && PrimeQ[k*n + 1]), k++]; If[k > t[[-1, 2]], AppendTo[t, {n, k}]], {n, Prime[Range[2, 1000]]}]; Transpose[t][[1]]
%Y A220141 Cf. A071407, A220142.
%K A220141 nonn
%O A220141 1,1
%A A220141 _T. D. Noe_, Jan 08 2013
%E A220141 More terms from _Amiram Eldar_, Dec 30 2019