%I
%S 2,5,11,13,31,37,53,61,433,3023,3989,4079,9967,10789,76943,81439,
%T 121763,233969,491333,495931,795659,1653901,2623969,3516277,6274823,
%U 10536689,11313839,12023191,16268899,22829309,38968109,41230733,45057577,76384717,98566373,552843883
%N 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 These are the primes at which A071407 reaches a new record. The corresponding values of k are in A220142.
%H Amiram Eldar, <a href="/A220141/b220141.txt">Table of n, a(n) for n = 1..38</a>
%t 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 Cf. A071407, A220142.
%K nonn
%O 1,1
%A _T. D. Noe_, Jan 08 2013
%E More terms from _Amiram Eldar_, Dec 30 2019
