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.

A215714 Sophie Germain primes q such that q^2 + q + 41 is prime.

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%I A215714 #19 Aug 24 2012 21:01:24
%S A215714 2,3,5,11,23,29,53,83,113,131,179,191,233,281,293,359,419,509,641,653,
%T A215714 659,683,719,743,809,911,953,1013,1019,1103,1289,1439,1481,1511,1601,
%U A215714 1733,1811,1901,1931,2003,2039,2339,2393,2549,2693,2903,2939,3023,3299,3329
%N A215714 Sophie Germain primes q such that q^2 + q + 41 is prime.
%C A215714 By definition, p = 2 * q + 1 is prime and (p^2 + 163)/4 = q^2 + q + 41 is also prime.
%H A215714 Pierre CAMI, <a href="/A215714/b215714.txt">Table of n, a(n) for n = 1..10000</a>
%F A215714 A005384 INTERSECT A056561. - _R. J. Mathar_, Aug 23 2012
%e A215714 29 is in the sequence because not only is 2 * 29 + 1 = 59 a prime, so is 29^2 + 29 + 41 = 911.
%t A215714 Select[Prime[Range[500]], PrimeQ[2# + 1] && PrimeQ[#^2 + # + 41] &] (* _Alonso del Arte_, Aug 21 2012 *)
%Y A215714 Cf. A005384, A005846.
%K A215714 nonn
%O A215714 1,1
%A A215714 _Pierre CAMI_, Aug 21 2012