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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. 4

%I #10 Dec 30 2019 10:05:39

%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

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Last modified August 10 05:56 EDT 2024. Contains 375044 sequences. (Running on oeis4.)