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.

A309726 Numbers k such that k^2 - 12 is prime.

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%I A309726 #22 Jan 15 2023 02:08:12
%S A309726 5,7,11,13,17,19,25,29,35,41,49,53,59,61,79,85,91,95,97,103,107,113,
%T A309726 119,121,137,139,145,149,163,169,173,179,181,185,191,205,209,227,233,
%U A309726 235,245,251
%N A309726 Numbers k such that k^2 - 12 is prime.
%C A309726 All terms are odd and not divisible by 3.
%H A309726 Harvey P. Dale, <a href="/A309726/b309726.txt">Table of n, a(n) for n = 1..1000</a>
%F A309726 If A056927(k) = 12, then k is a term. - _A.H.M. Smeets_, Aug 15 2019
%e A309726 11 is in the sequence because 11^2 - 12 = 109, which is prime.
%t A309726 Select[Range[5,301,2],PrimeQ[#^2-12]&] (* _Harvey P. Dale_, Dec 23 2019 *)
%o A309726 (PARI) select(n->isprime(n^2-12), [1..1000]) \\ _Andrew Howroyd_, Aug 14 2019
%Y A309726 Cf. A028870, A028873, A028876, A028879, A028882, A028885, A186815, A090696, A296507.
%Y A309726 Cf. A056927.
%K A309726 nonn
%O A309726 1,1
%A A309726 _Daniel Starodubtsev_, Aug 14 2019