cp's OEIS Frontend

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.

A186243 Numbers k such that 6*k-5 and 6*k-1 are both primes.

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%I A186243 #28 Sep 03 2025 20:27:04
%S A186243 2,3,4,7,8,12,14,17,18,19,22,28,33,38,39,47,52,53,59,64,67,74,77,78,
%T A186243 82,84,103,108,113,124,127,129,138,143,144,147,148,152,157,162,169,
%U A186243 182,183,203,214,217,218,238,239,242,248,249,259,262,264,267,269
%N A186243 Numbers k such that 6*k-5 and 6*k-1 are both primes.
%C A186243 Numbers k such that 6*k-5 and 6*k-1 are cousin primes. The D = 2 numbers in class II, from page 3 of Weber. - _Jonathan Vos Post_, Feb 14 2011
%H A186243 Ivan Neretin, <a href="/A186243/b186243.txt">Table of n, a(n) for n = 1..10000</a>
%H A186243 H. J. Weber, <a href="http://arxiv.org/abs/1102.3075">Exceptional Prime Number Twins, Triplets and Multiplets</a>, arXiv:1102.3075 [math.NT], 2011.
%H A186243 Eric W. Weisstein, <a href="https://mathworld.wolfram.com/CousinPrimes.html">Cousin Primes.</a>
%F A186243 {k such that 6*k-5 is in A023200} = {k such that 6*k-1 is in A046132}.
%e A186243 a(3) = 4 because 6*4-5 = 19 is prime, and 6*4-1 = 23 is prime.
%t A186243 Select[Range[400], PrimeQ[6#-5] && PrimeQ[6#-1] &] (* _Alonso del Arte_, Feb 16 2011 *)
%Y A186243 Cf. A023200, A046132, A088765.
%K A186243 nonn,easy,changed
%O A186243 1,1
%A A186243 _Jonathan Vos Post_, Feb 15 2011